Beckmann Sample, normalization factor

Time bar (total: 3.8s)

start0.0ms (0.0%)

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

analyze19.0ms (0.5%)

Memory
2.5MiB live, 45.5MiB allocated; 4ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
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)

sample951.0ms (24.7%)

Memory
48.8MiB live, 2 599.5MiB allocated; 197ms collecting garbage
Samples
681.0ms8 251×0valid
6.0ms55×0invalid
1.0ms1valid
Precisions
Click to see histograms. Total time spent on operations: 489.0ms
ival-mult!: 107.0ms (21.9% of total)
ival-exp: 90.0ms (18.4% of total)
ival-div!: 87.0ms (17.8% of total)
ival-sqrt: 67.0ms (13.7% of total)
ival-add!: 53.0ms (10.8% of total)
ival-sub!: 43.0ms (8.8% of total)
ival-neg: 40.0ms (8.2% 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

preprocess32.0ms (0.8%)

Memory
-34.4MiB live, 62.3MiB allocated; 11ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
046152
1237138
21056126
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.7%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.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
1.1MiB live, 1.1MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
1
(/ 1 (sqrt (PI)))
(sqrt (PI))
(PI)
Outputs
#s(literal 1 binary32)
#s(literal 9465531/16777216 binary32)
#s(literal 14868421/8388608 binary32)
#s(literal 13176795/4194304 binary32)
Samples
0.0ms0valid
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)

series70.0ms (1.8%)

Memory
35.5MiB live, 183.1MiB allocated; 10ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05385463
Stop Event
iter-limit
Counts
18 → 100
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
#s(literal 1 binary32)
(+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))
(+.f32 #s(literal 1 binary32) c)
c
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))
(sqrt.f32 (PI.f32))
(PI.f32)
(/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)
(sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))
(-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)
(-.f32 #s(literal 1 binary32) cosTheta)
cosTheta
(exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))
(*.f32 (neg.f32 cosTheta) cosTheta)
(neg.f32 cosTheta)
Outputs
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (*.f32 (pow.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (sqrt.f32 (PI.f32)) #s(literal 3 binary32)) (pow.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) #s(literal 2 binary32))))))) (*.f32 (pow.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (-.f32 (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (sqrt.f32 (PI.f32)) #s(literal 3 binary32)) (pow.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) #s(literal 2 binary32))))) (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (pow.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (sqrt.f32 (PI.f32)) #s(literal 3 binary32)) (pow.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) #s(literal 2 binary32))))))) (*.f32 (pow.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))
#s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32)))))
#s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 cosTheta (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))
#s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 cosTheta (-.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -3/2 binary32) (/.f32 cosTheta (sqrt.f32 (PI.f32)))))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))
#s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 cosTheta (-.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 cosTheta (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 cosTheta (sqrt.f32 (PI.f32)))) (*.f32 #s(literal 3/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))
#s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 cosTheta (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))
#s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (fma.f32 cosTheta (-.f32 (*.f32 #s(literal -3/2 binary32) (/.f32 cosTheta (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))
#s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (fma.f32 cosTheta (-.f32 (*.f32 cosTheta (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 cosTheta (sqrt.f32 (PI.f32)))) (*.f32 #s(literal 3/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))
#s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (fma.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 cosTheta (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))
#s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (fma.f32 cosTheta (-.f32 (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 cosTheta (sqrt.f32 (PI.f32)))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))
#s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (/.f32 #s(literal 1 binary32) cosTheta))
#s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) cosTheta)) cosTheta))
#s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1 binary32)))) cosTheta))
#s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1/2 binary32))) #s(literal 1 binary32)))) cosTheta))
#s(approx (sqrt (- (- 1 cosTheta) cosTheta)) #s(literal 1 binary32))
#s(approx (sqrt (- (- 1 cosTheta) cosTheta)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) cosTheta)))
#s(approx (sqrt (- (- 1 cosTheta) cosTheta)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1 binary32)))))
#s(approx (sqrt (- (- 1 cosTheta) cosTheta)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1/2 binary32))) #s(literal 1 binary32)))))
#s(approx (- (- 1 cosTheta) cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)))
#s(approx cosTheta cosTheta)
#s(approx (exp (* (neg cosTheta) cosTheta)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))
#s(approx (exp (* (neg cosTheta) cosTheta)) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/2 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) #s(literal 1 binary32)))))
#s(approx (exp (* (neg cosTheta) cosTheta)) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/6 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))) #s(literal 1 binary32)))))
#s(approx (* (neg cosTheta) cosTheta) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))
#s(approx (neg cosTheta) (*.f32 #s(literal -1 binary32) cosTheta))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (/.f32 #s(literal -2 binary32) cosTheta))) (sqrt.f32 (PI.f32)))))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 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)) (*.f32 (sqrt.f32 (/.f32 #s(literal -2 binary32) cosTheta)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (/.f32 #s(literal -2 binary32) cosTheta))) (sqrt.f32 (PI.f32))))) #s(literal 2 binary32)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (/.f32 #s(literal -2 binary32) cosTheta))) (sqrt.f32 (PI.f32))))))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)) (*.f32 (pow.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (pow.f32 (sqrt.f32 (/.f32 #s(literal -2 binary32) cosTheta)) #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (*.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(literal 3 binary32))))) (*.f32 #s(literal -1/8 binary32) (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (pow.f32 (sqrt.f32 (/.f32 #s(literal -2 binary32) cosTheta)) #s(literal 3 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (*.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(literal 2 binary32))))))) (pow.f32 cosTheta #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (/.f32 #s(literal -2 binary32) cosTheta))) (sqrt.f32 (PI.f32))))))) (*.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)) (*.f32 (sqrt.f32 (/.f32 #s(literal -2 binary32) cosTheta)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (/.f32 #s(literal -2 binary32) cosTheta))) (sqrt.f32 (PI.f32))))) #s(literal 2 binary32)))))))))
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#s(approx (sqrt (- (- 1 cosTheta) cosTheta)) (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (-.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal -2 binary32) cosTheta)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (sqrt.f32 (/.f32 #s(literal -2 binary32) cosTheta)))) (*.f32 #s(literal 1/16 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (pow.f32 (sqrt.f32 (/.f32 #s(literal -2 binary32) cosTheta)) #s(literal 5 binary32))))))) (*.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (pow.f32 (sqrt.f32 (/.f32 #s(literal -2 binary32) cosTheta)) #s(literal 3 binary32)))))))))
#s(approx (- (- 1 cosTheta) cosTheta) (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) cosTheta)))))
#s(approx (- 1 cosTheta) (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) cosTheta)))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (fma.f32 #s(literal -1 binary32) (/.f32 c (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (fma.f32 c (-.f32 (/.f32 c (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (fma.f32 c (-.f32 (*.f32 c (fma.f32 #s(literal -1 binary32) (/.f32 c (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))) #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))) #s(literal 3 binary32))))) (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))))))
#s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))))
#s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))))))
#s(approx (+ 1 c) (+.f32 #s(literal 1 binary32) c))
#s(approx c c)
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))) c))) c))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))) #s(literal 2 binary32)) (pow.f32 c #s(literal 2 binary32)))) (+.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)))) (*.f32 c (*.f32 cosTheta (sqrt.f32 (PI.f32))))))) c))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))) #s(literal 3 binary32)) (pow.f32 c #s(literal 3 binary32))))) (fma.f32 #s(literal -1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))) #s(literal 2 binary32)) (pow.f32 c #s(literal 2 binary32))) (+.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)))) (*.f32 c (*.f32 cosTheta (sqrt.f32 (PI.f32)))))))) c))
#s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (*.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)))) (*.f32 c (*.f32 cosTheta (sqrt.f32 (PI.f32)))))))))
#s(approx (+ 1 c) (*.f32 c (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) c))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)))) (*.f32 c (*.f32 cosTheta (sqrt.f32 (PI.f32)))))) #s(literal 1 binary32)) c)))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))) #s(literal 2 binary32)) c) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))))) c)) #s(literal 1 binary32)) c)))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))) #s(literal 3 binary32)) c) (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))) #s(literal 2 binary32))) c)) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))))) c)) #s(literal 1 binary32)) c)))
#s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (*.f32 #s(literal -1 binary32) (*.f32 c (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))) c)) #s(literal 1 binary32)))))
Calls

6 calls:

TimeVariablePoint
13.0ms
cosTheta
-inf
7.0ms
cosTheta
inf
4.0ms
c
-inf
3.0ms
c
0
3.0ms
cosTheta
0

rewrite116.0ms (3.0%)

Memory
-32.1MiB live, 293.6MiB allocated; 18ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
018126
033126
1170117
2726110
04243103
Stop Event
iter-limit
node-limit
iter-limit
Counts
18 → 550
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
#s(literal 1 binary32)
(+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))
(+.f32 #s(literal 1 binary32) c)
c
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))
(sqrt.f32 (PI.f32))
(PI.f32)
(/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)
(sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))
(-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)
(-.f32 #s(literal 1 binary32) cosTheta)
cosTheta
(exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))
(*.f32 (neg.f32 cosTheta) cosTheta)
(neg.f32 cosTheta)
Outputs
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 (-.f32 #s(literal -1 binary32) c) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)))) #s(literal -1 binary32))
(*.f32 (pow.f32 (-.f32 c (-.f32 #s(literal -1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)))) (/.f32 #s(literal -1 binary32) #s(literal 2 binary32))) (pow.f32 (-.f32 c (-.f32 #s(literal -1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)))) (/.f32 #s(literal -1 binary32) #s(literal 2 binary32))))
(*.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 (-.f32 #s(literal -1 binary32) c) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)))) #s(literal 1 binary32)))
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 (-.f32 #s(literal -1 binary32) c) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)))))
(*.f32 (/.f32 #s(literal -1 binary32) (-.f32 (-.f32 #s(literal -1 binary32) c) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (-.f32 (-.f32 #s(literal -1 binary32) c) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)))))
(/.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 (-.f32 #s(literal -1 binary32) c) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)))) #s(literal 2 binary32)) #s(literal 2 binary32))
(/.f32 (*.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) (-.f32 (-.f32 #s(literal -1 binary32) c) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta))))) #s(literal 2 binary32))
(/.f32 #s(literal -2 binary32) (*.f32 (-.f32 (-.f32 #s(literal -1 binary32) c) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta))) #s(literal 2 binary32)))
(/.f32 #s(literal -2 binary32) (*.f32 #s(literal 2 binary32) (-.f32 (-.f32 #s(literal -1 binary32) c) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)))))
(/.f32 #s(literal 2 binary32) (*.f32 (-.f32 c (-.f32 #s(literal -1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)))) #s(literal 2 binary32)))
(/.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (-.f32 c (-.f32 #s(literal -1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta))))))
(/.f32 #s(literal -1 binary32) (-.f32 (-.f32 #s(literal -1 binary32) c) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (-.f32 #s(literal -1 binary32) c) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta))) #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 c (-.f32 #s(literal -1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 c (-.f32 #s(literal -1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (-.f32 c (-.f32 #s(literal -1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 (-.f32 #s(literal -1 binary32) c) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)))) #s(literal -1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 (-.f32 #s(literal -1 binary32) c) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)))) #s(literal 0 binary32)))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 (-.f32 #s(literal -1 binary32) c) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)))) #s(literal -1 binary32) (*.f32 #s(literal 0 binary32) (/.f32 #s(literal -1 binary32) (-.f32 (-.f32 #s(literal -1 binary32) c) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta))))))
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(/.f32 (fma.f32 (cosh.f32 (*.f32 cosTheta cosTheta)) #s(literal 2 binary32) (*.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 (neg.f32 cosTheta) cosTheta))) #s(literal 2 binary32) (*.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (*.f32 cosTheta cosTheta))) #s(literal 2 binary32))) #s(literal 4 binary32))
(/.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (*.f32 cosTheta cosTheta))) #s(literal 2 binary32) (*.f32 (*.f32 #s(literal 2 binary32) (sinh.f32 (*.f32 (neg.f32 cosTheta) cosTheta))) #s(literal 2 binary32))) #s(literal 4 binary32))
(/.f32 (-.f32 (*.f32 (sinh.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (sinh.f32 (*.f32 (neg.f32 cosTheta) cosTheta))) (*.f32 (cosh.f32 (*.f32 cosTheta cosTheta)) (cosh.f32 (*.f32 cosTheta cosTheta)))) (-.f32 (sinh.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (cosh.f32 (*.f32 cosTheta cosTheta))))
(/.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 cosTheta cosTheta)))
(/.f32 (+.f32 (pow.f32 (sinh.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) #s(literal 3 binary32)) (pow.f32 (cosh.f32 (*.f32 cosTheta cosTheta)) #s(literal 3 binary32))) (fma.f32 (sinh.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (sinh.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (-.f32 (*.f32 (cosh.f32 (*.f32 cosTheta cosTheta)) (cosh.f32 (*.f32 cosTheta cosTheta))) (*.f32 (sinh.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (cosh.f32 (*.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)) (fma.f32 (sinh.f32 (*.f32 cosTheta cosTheta)) (sinh.f32 (*.f32 cosTheta cosTheta)) (*.f32 (cosh.f32 (*.f32 cosTheta cosTheta)) (sinh.f32 (*.f32 cosTheta cosTheta))))))
(/.f32 (fma.f32 #s(literal 2 binary32) (sinh.f32 (*.f32 (neg.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 (neg.f32 cosTheta) cosTheta)))) #s(literal 2 binary32))
(/.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (sinh.f32 (*.f32 (neg.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 (neg.f32 cosTheta) cosTheta))))) #s(literal 4 binary32))
(/.f32 (-.f32 (*.f32 (cosh.f32 (*.f32 cosTheta cosTheta)) (cosh.f32 (*.f32 cosTheta cosTheta))) (*.f32 (sinh.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (sinh.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) (exp.f32 (*.f32 cosTheta cosTheta)))
(/.f32 (+.f32 (pow.f32 (cosh.f32 (*.f32 cosTheta cosTheta)) #s(literal 3 binary32)) (pow.f32 (sinh.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) #s(literal 3 binary32))) (fma.f32 (cosh.f32 (*.f32 cosTheta cosTheta)) (cosh.f32 (*.f32 cosTheta cosTheta)) (-.f32 (*.f32 (sinh.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (sinh.f32 (*.f32 (neg.f32 cosTheta) cosTheta))) (*.f32 (cosh.f32 (*.f32 cosTheta cosTheta)) (sinh.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))))
(/.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (exp.f32 (*.f32 cosTheta cosTheta))))
(/.f32 #s(literal -1 binary32) (neg.f32 (exp.f32 (*.f32 cosTheta cosTheta))))
(/.f32 #s(literal 1 binary32) (/.f32 (exp.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (exp.f32 (*.f32 cosTheta cosTheta)))
(sqrt.f32 (exp.f32 (*.f32 (*.f32 (neg.f32 cosTheta) cosTheta) #s(literal 2 binary32))))
(-.f32 (sinh.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (neg.f32 (cosh.f32 (*.f32 cosTheta cosTheta))))
(-.f32 (cosh.f32 (*.f32 cosTheta cosTheta)) (sinh.f32 (*.f32 cosTheta cosTheta)))
(fma.f32 (*.f32 #s(literal 2 binary32) (sinh.f32 (*.f32 (neg.f32 cosTheta) cosTheta))) #s(literal 1/2 binary32) (cosh.f32 (*.f32 cosTheta cosTheta)))
(fma.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (*.f32 cosTheta cosTheta))) #s(literal 1/2 binary32) (sinh.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))
(fma.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (/.f32 #s(literal 0 binary32) (exp.f32 (*.f32 cosTheta cosTheta))))
(pow.f32 (exp.f32 (*.f32 (*.f32 (neg.f32 cosTheta) cosTheta) #s(literal 2 binary32))) #s(literal 1/2 binary32))
(pow.f32 (exp.f32 (*.f32 cosTheta cosTheta)) #s(literal -1 binary32))
(pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))
(pow.f32 (exp.f32 (neg.f32 cosTheta)) cosTheta)
(+.f32 (sinh.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (cosh.f32 (*.f32 cosTheta cosTheta)))
(+.f32 (cosh.f32 (*.f32 cosTheta cosTheta)) (sinh.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))
(+.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (/.f32 #s(literal 0 binary32) (exp.f32 (*.f32 cosTheta cosTheta))))
(fabs.f32 (neg.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))
(fabs.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))
(exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta)))
(exp.f32 (*.f32 (log.f32 (exp.f32 cosTheta)) (neg.f32 cosTheta)))
(exp.f32 (*.f32 (log.f32 (exp.f32 (neg.f32 cosTheta))) cosTheta))
(exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))
(neg.f32 (neg.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))
(*.f32 (neg.f32 (fabs.f32 cosTheta)) (fabs.f32 cosTheta))
(*.f32 (fabs.f32 cosTheta) (neg.f32 (fabs.f32 cosTheta)))
(*.f32 (neg.f32 cosTheta) cosTheta)
(*.f32 cosTheta (neg.f32 cosTheta))
(neg.f32 (*.f32 cosTheta cosTheta))
(neg.f32 cosTheta)

eval68.0ms (1.8%)

Memory
5.5MiB live, 197.5MiB allocated; 18ms collecting garbage
Compiler

Compiled 23 807 to 3 310 computations (86.1% saved)

prune19.0ms (0.5%)

Memory
2.9MiB live, 55.8MiB allocated; 3ms collecting garbage
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New62315638
Fresh000
Picked101
Done000
Total62415639
Accuracy
99.9%
Counts
639 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.9%
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (-.f32 c #s(literal -1 binary32))))
97.8%
(/.f32 #s(literal 1 binary32) (-.f32 c (-.f32 #s(literal -1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)))))
98.3%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)) (sqrt.f32 (PI.f32)))))
91.2%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 #s(approx (sqrt (- (- 1 cosTheta) cosTheta)) #s(literal 1 binary32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
97.8%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 #s(literal 9465531/16777216 binary32) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
95.9%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (fma.f32 cosTheta (-.f32 (*.f32 #s(literal -3/2 binary32) (/.f32 cosTheta (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))))
94.7%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 cosTheta (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))))
95.9%
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 cosTheta (-.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -3/2 binary32) (/.f32 cosTheta (sqrt.f32 (PI.f32)))))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)))
94.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 cosTheta (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)))
92.0%
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32))))))
97.5%
(*.f32 (pow.f32 (-.f32 c (-.f32 #s(literal -1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)))) (/.f32 #s(literal -1 binary32) #s(literal 2 binary32))) (pow.f32 (-.f32 c (-.f32 #s(literal -1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)))) (/.f32 #s(literal -1 binary32) #s(literal 2 binary32))))
90.2%
(exp.f32 (*.f32 (log.f32 (-.f32 c (-.f32 #s(literal -1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta))))) #s(literal -1 binary32)))
5.0%
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c))
96.7%
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (-.f32 (*.f32 #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))))))))))
92.5%
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))
Compiler

Compiled 1 040 to 688 computations (33.8% saved)

sample0.0ms (0.0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
1
(sqrt (PI))
(PI)
(/ 1 (sqrt (PI)))
-1
9465531/16777216
Outputs
#s(literal 1 binary32)
#s(literal 14868421/8388608 binary32)
#s(literal 13176795/4194304 binary32)
#s(literal 9465531/16777216 binary32)
#s(literal -1 binary32)
#s(literal 9465531/16777216 binary32)
Samples
0.0ms0valid
Compiler

Compiled 12 to 8 computations (33.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
adjust: 0.0ms (0.0% of total)

series177.0ms (4.6%)

Memory
14.1MiB live, 437.1MiB allocated; 26ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0174818351
Stop Event
iter-limit
Counts
40 → 295
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)) (sqrt.f32 (PI.f32)))))
#s(literal 1 binary32)
(+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)) (sqrt.f32 (PI.f32))))
(+.f32 #s(literal 1 binary32) c)
c
(/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)) (sqrt.f32 (PI.f32)))
(/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta))
(sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))
(-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)
(-.f32 #s(literal 1 binary32) cosTheta)
cosTheta
(*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)
(exp.f32 (*.f32 cosTheta cosTheta))
(*.f32 cosTheta cosTheta)
(sqrt.f32 (PI.f32))
(PI.f32)
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c))
(/.f32 #s(literal 1 binary32) c)
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 cosTheta (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)))
#s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 cosTheta (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))
(/.f32 (fma.f32 cosTheta (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)
(fma.f32 cosTheta (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))
(-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))
(/.f32 #s(literal 1 binary32) (-.f32 c (-.f32 #s(literal -1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)))))
(-.f32 c (-.f32 #s(literal -1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta))))
(-.f32 #s(literal -1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)))
#s(literal -1 binary32)
(/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta))
(sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))
(/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 #s(literal 9465531/16777216 binary32) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 #s(literal 9465531/16777216 binary32) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))
(*.f32 (*.f32 #s(literal 9465531/16777216 binary32) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))
(*.f32 #s(literal 9465531/16777216 binary32) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta))
#s(literal 9465531/16777216 binary32)
(/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)
(exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))
(*.f32 (neg.f32 cosTheta) cosTheta)
(neg.f32 cosTheta)
Outputs
#s(approx (/ 1 (+ (+ 1 c) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (sqrt (PI))))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))
#s(approx (/ 1 (+ (+ 1 c) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (sqrt (PI))))) (*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (*.f32 (pow.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))
#s(approx (/ 1 (+ (+ 1 c) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (sqrt (PI))))) (*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (sqrt.f32 (PI.f32)) #s(literal 3 binary32)) (pow.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) #s(literal 2 binary32))))))) (*.f32 (pow.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))
#s(approx (/ 1 (+ (+ 1 c) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (sqrt (PI))))) (*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (-.f32 (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (sqrt.f32 (PI.f32)) #s(literal 3 binary32)) (pow.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) #s(literal 2 binary32))))) (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (pow.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (sqrt.f32 (PI.f32)) #s(literal 3 binary32)) (pow.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) #s(literal 2 binary32))))))) (*.f32 (pow.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))
#s(approx (+ (+ 1 c) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (sqrt (PI)))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32)))))
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#s(approx (- c (- -1 (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta)))) (*.f32 #s(literal -1 binary32) (*.f32 c (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))) (*.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))) c)) #s(literal 1 binary32)))))
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (fma.f32 #s(literal 9465531/16777216 binary32) (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)))) (*.f32 c cosTheta)) (/.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32)) c)))
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 9465531/16777216 binary32) (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)))) cosTheta))) #s(literal 2 binary32)) c) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 9465531/16777216 binary32) (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)))) cosTheta)))) c)) #s(literal 1 binary32)) c)))
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 9465531/16777216 binary32) (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)))) cosTheta))) #s(literal 3 binary32)) c) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 9465531/16777216 binary32) (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)))) cosTheta))) #s(literal 2 binary32))) c)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 9465531/16777216 binary32) (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)))) cosTheta)))) c)) #s(literal 1 binary32)) c)))
#s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (*.f32 #s(literal -1 binary32) (*.f32 c (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 9465531/16777216 binary32) (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)))) cosTheta))) c)) #s(literal 1 binary32)))))
Calls

6 calls:

TimeVariablePoint
24.0ms
cosTheta
-inf
20.0ms
cosTheta
inf
9.0ms
cosTheta
0
5.0ms
c
0
4.0ms
c
-inf

rewrite172.0ms (4.5%)

Memory
-21.7MiB live, 373.2MiB allocated; 43ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055439
089442
1436417
22061408
04155406
Stop Event
iter-limit
node-limit
iter-limit
Counts
40 → 1 199
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)) (sqrt.f32 (PI.f32)))))
#s(literal 1 binary32)
(+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)) (sqrt.f32 (PI.f32))))
(+.f32 #s(literal 1 binary32) c)
c
(/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)) (sqrt.f32 (PI.f32)))
(/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta))
(sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))
(-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)
(-.f32 #s(literal 1 binary32) cosTheta)
cosTheta
(*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)
(exp.f32 (*.f32 cosTheta cosTheta))
(*.f32 cosTheta cosTheta)
(sqrt.f32 (PI.f32))
(PI.f32)
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c))
(/.f32 #s(literal 1 binary32) c)
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 cosTheta (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)))
#s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 cosTheta (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))
(/.f32 (fma.f32 cosTheta (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)
(fma.f32 cosTheta (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))
(-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))
(/.f32 #s(literal 1 binary32) (-.f32 c (-.f32 #s(literal -1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)))))
(-.f32 c (-.f32 #s(literal -1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta))))
(-.f32 #s(literal -1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)))
#s(literal -1 binary32)
(/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta))
(sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))
(/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 #s(literal 9465531/16777216 binary32) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 #s(literal 9465531/16777216 binary32) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))
(*.f32 (*.f32 #s(literal 9465531/16777216 binary32) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))
(*.f32 #s(literal 9465531/16777216 binary32) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta))
#s(literal 9465531/16777216 binary32)
(/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)
(exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))
(*.f32 (neg.f32 cosTheta) cosTheta)
(neg.f32 cosTheta)
Outputs
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (PI.f32)) (-.f32 c #s(literal -1 binary32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)))) (pow.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (PI.f32)) (-.f32 c #s(literal -1 binary32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)))) (sqrt.f32 (PI.f32)))
(*.f32 (pow.f32 (-.f32 c (-.f32 #s(literal -1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)))) (/.f32 #s(literal -1 binary32) #s(literal 2 binary32))) (pow.f32 (-.f32 c (-.f32 #s(literal -1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)))) (/.f32 #s(literal -1 binary32) #s(literal 2 binary32))))
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (-.f32 c (-.f32 #s(literal -1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta))))))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 c (-.f32 #s(literal -1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta))))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 c (-.f32 #s(literal -1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta))))))
(/.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32))) (*.f32 #s(literal 2 binary32) (fma.f32 (sqrt.f32 (PI.f32)) (-.f32 c #s(literal -1 binary32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)))))
(/.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (fma.f32 (sqrt.f32 (PI.f32)) (-.f32 c #s(literal -1 binary32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta))) #s(literal 2 binary32)))
(/.f32 #s(literal -2 binary32) (*.f32 (-.f32 (-.f32 #s(literal -1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta))) c) #s(literal 2 binary32)))
(/.f32 #s(literal -2 binary32) (*.f32 #s(literal 2 binary32) (-.f32 (-.f32 #s(literal -1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta))) c)))
(/.f32 (neg.f32 (sqrt.f32 (PI.f32))) (neg.f32 (fma.f32 (sqrt.f32 (PI.f32)) (-.f32 c #s(literal -1 binary32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)))))
(/.f32 #s(literal 2 binary32) (*.f32 (-.f32 c (-.f32 #s(literal -1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)))) #s(literal 2 binary32)))
(/.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (-.f32 c (-.f32 #s(literal -1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta))))))
(/.f32 #s(literal -1 binary32) (-.f32 (-.f32 #s(literal -1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta))) c))
(/.f32 (sqrt.f32 (PI.f32)) (fma.f32 (sqrt.f32 (PI.f32)) (-.f32 c #s(literal -1 binary32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (-.f32 #s(literal -1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta))) c) #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 c (-.f32 #s(literal -1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 c (-.f32 #s(literal -1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (-.f32 c (-.f32 #s(literal -1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)))))
(pow.f32 (-.f32 c (-.f32 #s(literal -1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)))) #s(literal -1 binary32))
(exp.f32 (*.f32 (log.f32 (-.f32 c (-.f32 #s(literal -1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta))))) #s(literal -1 binary32)))
(neg.f32 (/.f32 #s(literal -1 binary32) (-.f32 c (-.f32 #s(literal -1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta))))))
#s(literal 1 binary32)
(*.f32 (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)) #s(literal -1 binary32)) c)) c)
(*.f32 (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 c #s(literal -1 binary32)) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)))) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)))
(*.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 c (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta))) #s(literal 1 binary32))) #s(literal 1 binary32))
(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (*.f32 (neg.f32 cosTheta) (exp.f32 (*.f32 cosTheta cosTheta)))) (-.f32 c #s(literal -1 binary32)))) (-.f32 c #s(literal -1 binary32)))
(*.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)) (-.f32 c #s(literal -1 binary32)))) (-.f32 c #s(literal -1 binary32)))
(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta))) c)) c)
(*.f32 (fma.f32 (sqrt.f32 (PI.f32)) (-.f32 c #s(literal -1 binary32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))
(/.f32 (*.f32 (fma.f32 (*.f32 (sqrt.f32 (PI.f32)) (-.f32 c #s(literal -1 binary32))) cosTheta (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (exp.f32 (*.f32 cosTheta cosTheta)))) #s(literal -1 binary32)) (*.f32 cosTheta (neg.f32 (sqrt.f32 (PI.f32)))))
(/.f32 (*.f32 (fma.f32 (*.f32 (sqrt.f32 (PI.f32)) (-.f32 c #s(literal -1 binary32))) cosTheta (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (exp.f32 (*.f32 cosTheta cosTheta)))) #s(literal 1 binary32)) (*.f32 cosTheta (neg.f32 (neg.f32 (sqrt.f32 (PI.f32))))))
(/.f32 (*.f32 (fma.f32 (*.f32 (sqrt.f32 (PI.f32)) (-.f32 c #s(literal -1 binary32))) cosTheta (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (exp.f32 (*.f32 cosTheta cosTheta)))) #s(literal 1 binary32)) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))
(/.f32 (*.f32 (fma.f32 (*.f32 (sqrt.f32 (PI.f32)) (-.f32 c #s(literal -1 binary32))) (*.f32 (neg.f32 cosTheta) (exp.f32 (*.f32 cosTheta cosTheta))) (neg.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))) #s(literal -1 binary32)) (*.f32 (*.f32 (neg.f32 cosTheta) (exp.f32 (*.f32 cosTheta cosTheta))) (neg.f32 (sqrt.f32 (PI.f32)))))
(/.f32 (*.f32 (fma.f32 (*.f32 (sqrt.f32 (PI.f32)) (-.f32 c #s(literal -1 binary32))) (*.f32 (neg.f32 cosTheta) (exp.f32 (*.f32 cosTheta cosTheta))) (neg.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))) #s(literal 1 binary32)) (*.f32 (*.f32 (neg.f32 cosTheta) (exp.f32 (*.f32 cosTheta cosTheta))) (neg.f32 (neg.f32 (sqrt.f32 (PI.f32))))))
(/.f32 (*.f32 (fma.f32 (*.f32 (sqrt.f32 (PI.f32)) (-.f32 c #s(literal -1 binary32))) (*.f32 (neg.f32 cosTheta) (exp.f32 (*.f32 cosTheta cosTheta))) (neg.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))) #s(literal 1 binary32)) (*.f32 (*.f32 (neg.f32 cosTheta) (exp.f32 (*.f32 cosTheta cosTheta))) (sqrt.f32 (PI.f32))))
(/.f32 (*.f32 (fma.f32 (*.f32 (sqrt.f32 (PI.f32)) (-.f32 c #s(literal -1 binary32))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) #s(literal -1 binary32)) (*.f32 (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta) (neg.f32 (sqrt.f32 (PI.f32)))))
(/.f32 (*.f32 (fma.f32 (*.f32 (sqrt.f32 (PI.f32)) (-.f32 c #s(literal -1 binary32))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) #s(literal 1 binary32)) (*.f32 (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta) (neg.f32 (neg.f32 (sqrt.f32 (PI.f32))))))
(/.f32 (*.f32 (fma.f32 (*.f32 (sqrt.f32 (PI.f32)) (-.f32 c #s(literal -1 binary32))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) #s(literal 1 binary32)) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)))
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cosTheta
(*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)
(*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))
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#s(literal -1 binary32)
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(/.f32 (*.f32 #s(literal 9465531/16777216 binary32) (neg.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))) (neg.f32 cosTheta))
(/.f32 (*.f32 (neg.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) #s(literal 9465531/16777216 binary32)) (neg.f32 cosTheta))
(/.f32 (neg.f32 (*.f32 #s(literal 9465531/16777216 binary32) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))) (neg.f32 cosTheta))
(/.f32 (*.f32 #s(literal 9465531/16777216 binary32) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) cosTheta)
(/.f32 #s(literal 1 binary32) (/.f32 cosTheta (*.f32 #s(literal 9465531/16777216 binary32) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))))
#s(literal 9465531/16777216 binary32)
(*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))
(*.f32 (neg.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (/.f32 #s(literal -1 binary32) cosTheta))
(*.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (/.f32 #s(literal 1 binary32) cosTheta))
(*.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta))
(/.f32 (*.f32 (*.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))) #s(literal 2 binary32)) (*.f32 (neg.f32 cosTheta) #s(literal 2 binary32)))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))))) (*.f32 #s(literal 2 binary32) (neg.f32 cosTheta)))
(/.f32 (*.f32 #s(literal 2 binary32) (neg.f32 (neg.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))))) (*.f32 #s(literal 2 binary32) (neg.f32 (neg.f32 cosTheta))))
(/.f32 (*.f32 #s(literal 2 binary32) (neg.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))) (*.f32 #s(literal 2 binary32) (neg.f32 cosTheta)))
(/.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (+.f32 cosTheta cosTheta))
(/.f32 (*.f32 (neg.f32 (neg.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))) #s(literal 2 binary32)) (*.f32 (neg.f32 (neg.f32 cosTheta)) #s(literal 2 binary32)))
(/.f32 (*.f32 (neg.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) #s(literal 2 binary32)) (*.f32 (neg.f32 cosTheta) #s(literal 2 binary32)))
(/.f32 (*.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) #s(literal 2 binary32)) (*.f32 cosTheta #s(literal 2 binary32)))
(/.f32 (neg.f32 (*.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))))) (neg.f32 (neg.f32 cosTheta)))
(/.f32 (neg.f32 (neg.f32 (neg.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))))) (neg.f32 (neg.f32 (neg.f32 cosTheta))))
(/.f32 (*.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))) (neg.f32 cosTheta))
(/.f32 (neg.f32 (neg.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))) (neg.f32 (neg.f32 cosTheta)))
(/.f32 (neg.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (neg.f32 cosTheta))
(/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 cosTheta) (neg.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (/.f32 cosTheta (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))))
(neg.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (neg.f32 cosTheta)))
(neg.f32 (/.f32 (neg.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) cosTheta))
(*.f32 (sqrt.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))) (sqrt.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))
(*.f32 (+.f32 #s(literal 1 binary32) (/.f32 (sinh.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (cosh.f32 (*.f32 cosTheta cosTheta)))) (cosh.f32 (*.f32 cosTheta cosTheta)))
(*.f32 (pow.f32 (exp.f32 (neg.f32 cosTheta)) (/.f32 cosTheta #s(literal 2 binary32))) (pow.f32 (exp.f32 (neg.f32 cosTheta)) (/.f32 cosTheta #s(literal 2 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 cosTheta cosTheta))))) #s(literal 4 binary32))
(/.f32 (-.f32 (*.f32 (cosh.f32 (*.f32 cosTheta cosTheta)) (cosh.f32 (*.f32 cosTheta cosTheta))) (*.f32 (sinh.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (sinh.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) (exp.f32 (*.f32 cosTheta cosTheta)))
(/.f32 (+.f32 (pow.f32 (cosh.f32 (*.f32 cosTheta cosTheta)) #s(literal 3 binary32)) (pow.f32 (sinh.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) #s(literal 3 binary32))) (fma.f32 (cosh.f32 (*.f32 cosTheta cosTheta)) (cosh.f32 (*.f32 cosTheta cosTheta)) (-.f32 (*.f32 (sinh.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (sinh.f32 (*.f32 (neg.f32 cosTheta) cosTheta))) (*.f32 (cosh.f32 (*.f32 cosTheta cosTheta)) (sinh.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (exp.f32 (*.f32 cosTheta cosTheta))))
(/.f32 #s(literal 1 binary32) (exp.f32 (*.f32 cosTheta cosTheta)))
(sqrt.f32 (exp.f32 (*.f32 (*.f32 (neg.f32 cosTheta) cosTheta) #s(literal 2 binary32))))
(-.f32 (cosh.f32 (*.f32 cosTheta cosTheta)) (sinh.f32 (*.f32 cosTheta cosTheta)))
(pow.f32 (exp.f32 (neg.f32 (fabs.f32 cosTheta))) (fabs.f32 cosTheta))
(pow.f32 (exp.f32 (neg.f32 (neg.f32 cosTheta))) (neg.f32 cosTheta))
(pow.f32 (exp.f32 (*.f32 (*.f32 (neg.f32 cosTheta) cosTheta) #s(literal 2 binary32))) #s(literal 1/2 binary32))
(pow.f32 (exp.f32 (fabs.f32 cosTheta)) (neg.f32 (fabs.f32 cosTheta)))
(pow.f32 (exp.f32 (neg.f32 cosTheta)) (neg.f32 (neg.f32 cosTheta)))
(pow.f32 (exp.f32 (neg.f32 cosTheta)) cosTheta)
(pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))
(pow.f32 (exp.f32 (*.f32 cosTheta cosTheta)) #s(literal -1 binary32))
(+.f32 (sinh.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (cosh.f32 (*.f32 cosTheta cosTheta)))
(+.f32 (cosh.f32 (*.f32 cosTheta cosTheta)) (sinh.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))
(fabs.f32 (-.f32 (sinh.f32 (*.f32 cosTheta cosTheta)) (cosh.f32 (*.f32 cosTheta cosTheta))))
(fabs.f32 (neg.f32 (neg.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(fabs.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (exp.f32 (*.f32 cosTheta cosTheta)))))
(fabs.f32 (neg.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))
(fabs.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))
(exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta)))
(exp.f32 (*.f32 (log.f32 (exp.f32 cosTheta)) (neg.f32 cosTheta)))
(exp.f32 (*.f32 (log.f32 (exp.f32 (neg.f32 cosTheta))) cosTheta))
(exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))
(*.f32 (neg.f32 (fabs.f32 cosTheta)) (fabs.f32 cosTheta))
(*.f32 (neg.f32 (neg.f32 cosTheta)) (neg.f32 cosTheta))
(*.f32 (fabs.f32 cosTheta) (neg.f32 (fabs.f32 cosTheta)))
(*.f32 (neg.f32 cosTheta) (neg.f32 (neg.f32 cosTheta)))
(*.f32 (neg.f32 cosTheta) cosTheta)
(*.f32 cosTheta (neg.f32 cosTheta))
(neg.f32 (*.f32 cosTheta cosTheta))
(neg.f32 cosTheta)

eval162.0ms (4.2%)

Memory
25.0MiB live, 443.9MiB allocated; 40ms collecting garbage
Compiler

Compiled 57 188 to 7 658 computations (86.6% saved)

prune39.0ms (1.0%)

Memory
16.3MiB live, 121.3MiB allocated; 14ms collecting garbage
Pruning

21 alts after pruning (20 fresh and 1 done)

PrunedKeptTotal
New1 410201 430
Fresh10010
Picked415
Done000
Total1 424211 445
Accuracy
100.0%
Counts
1 445 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.8%
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)) #s(literal 9465531/16777216 binary32) (-.f32 c #s(literal -1 binary32))))
97.8%
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (*.f32 #s(literal 9465531/16777216 binary32) (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 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) #s(literal 9465531/16777216 binary32)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (-.f32 c #s(literal -1 binary32))))
97.8%
(/.f32 #s(literal 1 binary32) (-.f32 c (-.f32 #s(literal -1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)))))
96.5%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -3/2 binary32) cosTheta) #s(literal 1 binary32)))) cosTheta)) (sqrt.f32 (PI.f32)))))
95.2%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) cosTheta)) 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))))
96.2%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -28396593/33554432 binary32) cosTheta) #s(literal 9465531/16777216 binary32)))) cosTheta))))
94.9%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (*.f32 #s(literal -9465531/16777216 binary32) cosTheta)) cosTheta))))
92.0%
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (sqrt (PI)))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32))))))
94.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 cosTheta (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) #s(literal 14868421/8388608 binary32))) (/.f32 #s(literal 1 binary32) #s(literal 14868421/8388608 binary32))) cosTheta)))
94.9%
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 cosTheta (-.f32 (+.f32 #s(literal 1 binary32) c) #s(literal 9465531/16777216 binary32)) #s(literal 9465531/16777216 binary32)) cosTheta)))
96.7%
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #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)))
94.9%
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (*.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) c))) cosTheta)))
91.9%
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta)))
90.1%
(exp.f32 (*.f32 (log.f32 (fma.f32 #s(literal 9465531/16777216 binary32) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)) (-.f32 c #s(literal -1 binary32)))) #s(literal -1 binary32)))
96.7%
#s(approx (/ 1 (+ (+ 1 c) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (sqrt (PI))))) (*.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))))))))))
92.5%
#s(approx (/ 1 (+ (+ 1 c) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (sqrt (PI))))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))
95.3%
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 cosTheta (+.f32 #s(literal 16777216/9465531 binary32) (*.f32 #s(literal -281474976710656/89596277111961 binary32) (*.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) c))))))
92.4%
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 #s(literal 16777216/9465531 binary32) cosTheta))
Compiler

Compiled 1 311 to 944 computations (28.0% saved)

sample2.0ms (0.0%)

Memory
-44.7MiB live, 1.8MiB allocated; 2ms collecting garbage
Calls
Call 1
Inputs
1
9465531/16777216
-1
16777216/9465531
-281474976710656/89596277111961
7311685/16777216
-28396593/33554432
9465531/33554432
28396593/33554432
Outputs
#s(literal 1 binary32)
#s(literal 9465531/16777216 binary32)
#s(literal -1 binary32)
#s(literal 3717105/2097152 binary32)
#s(literal -13176793/4194304 binary32)
#s(literal 7311685/16777216 binary32)
#s(literal -1774787/2097152 binary32)
#s(literal 9465531/33554432 binary32)
#s(literal 1774787/2097152 binary32)
Samples
0.0ms0valid
Compiler

Compiled 11 to 11 computations (0.0% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
adjust: 0.0ms (0.0% of total)

series65.0ms (1.7%)

Memory
7.1MiB live, 148.8MiB allocated; 11ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08586752
Stop Event
iter-limit
Counts
48 → 196
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) #s(literal 9465531/16777216 binary32)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (-.f32 c #s(literal -1 binary32))))
#s(literal 1 binary32)
(fma.f32 (*.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) #s(literal 9465531/16777216 binary32)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (-.f32 c #s(literal -1 binary32)))
(*.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) #s(literal 9465531/16777216 binary32))
(/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)
(sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))
(-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)
(-.f32 #s(literal 1 binary32) cosTheta)
cosTheta
#s(literal 9465531/16777216 binary32)
(exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))
(*.f32 (neg.f32 cosTheta) cosTheta)
(neg.f32 cosTheta)
(-.f32 c #s(literal -1 binary32))
c
#s(literal -1 binary32)
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 #s(literal 16777216/9465531 binary32) cosTheta))
(*.f32 #s(literal 16777216/9465531 binary32) cosTheta)
#s(literal 16777216/9465531 binary32)
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 cosTheta (+.f32 #s(literal 16777216/9465531 binary32) (*.f32 #s(literal -281474976710656/89596277111961 binary32) (*.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) c))))))
(*.f32 cosTheta (+.f32 #s(literal 16777216/9465531 binary32) (*.f32 #s(literal -281474976710656/89596277111961 binary32) (*.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) c)))))
(+.f32 #s(literal 16777216/9465531 binary32) (*.f32 #s(literal -281474976710656/89596277111961 binary32) (*.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) c))))
(*.f32 #s(literal -281474976710656/89596277111961 binary32) (*.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) c)))
#s(literal -281474976710656/89596277111961 binary32)
(*.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) c))
(+.f32 #s(literal 7311685/16777216 binary32) c)
#s(literal 7311685/16777216 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (*.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) (+.f32 c (*.f32 #s(literal -28396593/33554432 binary32) cosTheta))))) cosTheta)))
#s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (*.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) (+.f32 c (*.f32 #s(literal -28396593/33554432 binary32) cosTheta))))) cosTheta))
(/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (*.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) (+.f32 c (*.f32 #s(literal -28396593/33554432 binary32) cosTheta))))) cosTheta)
(+.f32 #s(literal 9465531/16777216 binary32) (*.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) (+.f32 c (*.f32 #s(literal -28396593/33554432 binary32) cosTheta)))))
(*.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) (+.f32 c (*.f32 #s(literal -28396593/33554432 binary32) cosTheta))))
(+.f32 #s(literal 7311685/16777216 binary32) (+.f32 c (*.f32 #s(literal -28396593/33554432 binary32) cosTheta)))
(+.f32 c (*.f32 #s(literal -28396593/33554432 binary32) cosTheta))
(*.f32 #s(literal -28396593/33554432 binary32) cosTheta)
#s(literal -28396593/33554432 binary32)
(/.f32 #s(literal 1 binary32) #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)))
#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 (+.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 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 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 7311685/16777216 binary32) (+.f32 c (*.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 cosTheta (-.f32 (*.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 #s(literal 9465531/33554432 binary32) cosTheta)
#s(literal 9465531/33554432 binary32)
#s(literal 28396593/33554432 binary32)
Outputs
#s(approx (/ 1 (+ (* (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) 9465531/16777216) (exp (* (neg cosTheta) cosTheta))) (- c -1))) (*.f32 #s(literal 16777216/9465531 binary32) cosTheta))
#s(approx (/ 1 (+ (* (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) 9465531/16777216) (exp (* (neg cosTheta) cosTheta))) (- c -1))) (*.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 (+ (* (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) 9465531/16777216) (exp (* (neg cosTheta) cosTheta))) (- c -1))) (*.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 (+ (* (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) 9465531/16777216) (exp (* (neg cosTheta) cosTheta))) (- c -1))) (*.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 (+ (* (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) 9465531/16777216) (exp (* (neg cosTheta) cosTheta))) (- c -1)) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta))
#s(approx (+ (* (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) 9465531/16777216) (exp (* (neg cosTheta) cosTheta))) (- c -1)) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (*.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) c))) cosTheta))
#s(approx (+ (* (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) 9465531/16777216) (exp (* (neg cosTheta) cosTheta))) (- c -1)) (/.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 (+ (* (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) 9465531/16777216) (exp (* (neg cosTheta) cosTheta))) (- c -1)) (/.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 (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) 9465531/16777216) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (*.f32 #s(literal -9465531/16777216 binary32) cosTheta)) cosTheta))
#s(approx (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) 9465531/16777216) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -9465531/33554432 binary32) cosTheta) #s(literal 9465531/16777216 binary32)))) cosTheta))
#s(approx (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) 9465531/16777216) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (*.f32 cosTheta (-.f32 (*.f32 cosTheta (-.f32 (*.f32 #s(literal -9465531/33554432 binary32) cosTheta) #s(literal 9465531/33554432 binary32))) #s(literal 9465531/16777216 binary32)))) cosTheta))
#s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (/.f32 #s(literal 1 binary32) cosTheta))
#s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) cosTheta)) cosTheta))
#s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1 binary32)))) cosTheta))
#s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1/2 binary32))) #s(literal 1 binary32)))) cosTheta))
#s(approx (sqrt (- (- 1 cosTheta) cosTheta)) #s(literal 1 binary32))
#s(approx (sqrt (- (- 1 cosTheta) cosTheta)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) cosTheta)))
#s(approx (sqrt (- (- 1 cosTheta) cosTheta)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1 binary32)))))
#s(approx (sqrt (- (- 1 cosTheta) cosTheta)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1/2 binary32))) #s(literal 1 binary32)))))
#s(approx (- (- 1 cosTheta) cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)))
#s(approx cosTheta cosTheta)
#s(approx (exp (* (neg cosTheta) cosTheta)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))
#s(approx (exp (* (neg cosTheta) cosTheta)) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/2 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) #s(literal 1 binary32)))))
#s(approx (exp (* (neg cosTheta) cosTheta)) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/6 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))) #s(literal 1 binary32)))))
#s(approx (* (neg cosTheta) cosTheta) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))
#s(approx (neg cosTheta) (*.f32 #s(literal -1 binary32) cosTheta))
#s(approx (+ 16777216/9465531 (* -281474976710656/89596277111961 (* cosTheta (+ 7311685/16777216 c)))) #s(literal 16777216/9465531 binary32))
#s(approx (+ 16777216/9465531 (* -281474976710656/89596277111961 (* cosTheta (+ 7311685/16777216 c)))) (+.f32 #s(literal 16777216/9465531 binary32) (*.f32 #s(literal -281474976710656/89596277111961 binary32) (*.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) c)))))
#s(approx (* -281474976710656/89596277111961 (* cosTheta (+ 7311685/16777216 c))) (*.f32 #s(literal -281474976710656/89596277111961 binary32) (*.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) c))))
#s(approx (* cosTheta (+ 7311685/16777216 c)) (*.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) c)))
#s(approx (+ 9465531/16777216 (* cosTheta (+ 7311685/16777216 (+ c (* -28396593/33554432 cosTheta))))) #s(literal 9465531/16777216 binary32))
#s(approx (+ 9465531/16777216 (* cosTheta (+ 7311685/16777216 (+ c (* -28396593/33554432 cosTheta))))) (+.f32 #s(literal 9465531/16777216 binary32) (*.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) c))))
#s(approx (+ 9465531/16777216 (* cosTheta (+ 7311685/16777216 (+ c (* -28396593/33554432 cosTheta))))) (+.f32 #s(literal 9465531/16777216 binary32) (*.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) (+.f32 c (*.f32 #s(literal -28396593/33554432 binary32) cosTheta))))))
#s(approx (* cosTheta (+ 7311685/16777216 (+ c (* -28396593/33554432 cosTheta)))) (*.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) (+.f32 c (*.f32 #s(literal -28396593/33554432 binary32) cosTheta)))))
#s(approx (+ 7311685/16777216 (+ c (* -28396593/33554432 cosTheta))) (+.f32 #s(literal 7311685/16777216 binary32) c))
#s(approx (+ 7311685/16777216 (+ c (* -28396593/33554432 cosTheta))) (+.f32 #s(literal 7311685/16777216 binary32) (+.f32 c (*.f32 #s(literal -28396593/33554432 binary32) cosTheta))))
#s(approx (+ c (* -28396593/33554432 cosTheta)) c)
#s(approx (+ c (* -28396593/33554432 cosTheta)) (+.f32 c (*.f32 #s(literal -28396593/33554432 binary32) cosTheta)))
#s(approx (* -28396593/33554432 cosTheta) (*.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 (* 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 (+ 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 (+ 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 (* cosTheta (- (* 9465531/33554432 cosTheta) 28396593/33554432)) (*.f32 cosTheta (-.f32 (*.f32 #s(literal 9465531/33554432 binary32) cosTheta) #s(literal 28396593/33554432 binary32))))
#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 (* 9465531/33554432 cosTheta) (*.f32 #s(literal 9465531/33554432 binary32) cosTheta))
#s(approx (/ 1 (+ (* (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) 9465531/16777216) (exp (* (neg cosTheta) cosTheta))) (- c -1))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal 9465531/16777216 binary32) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (/.f32 #s(literal -2 binary32) cosTheta))))))))
#s(approx (/ 1 (+ (* (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) 9465531/16777216) (exp (* (neg cosTheta) cosTheta))) (- c -1))) (fma.f32 #s(literal -9465531/33554432 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 (/.f32 #s(literal -2 binary32) cosTheta)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal 9465531/16777216 binary32) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (/.f32 #s(literal -2 binary32) cosTheta)))))) #s(literal 2 binary32))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal 9465531/16777216 binary32) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (/.f32 #s(literal -2 binary32) cosTheta)))))))))
#s(approx (/ 1 (+ (* (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) 9465531/16777216) (exp (* (neg cosTheta) cosTheta))) (- c -1))) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -89596277111961/1125899906842624 binary32) (/.f32 (pow.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)) (*.f32 (pow.f32 (sqrt.f32 (/.f32 #s(literal -2 binary32) cosTheta)) #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal 9465531/16777216 binary32) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (/.f32 #s(literal -2 binary32) cosTheta)))))) #s(literal 3 binary32)))) (*.f32 #s(literal -9465531/134217728 binary32) (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (sqrt.f32 (/.f32 #s(literal -2 binary32) cosTheta)) #s(literal 3 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal 9465531/16777216 binary32) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (/.f32 #s(literal -2 binary32) cosTheta)))))) #s(literal 2 binary32)))))) (pow.f32 cosTheta #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal 9465531/16777216 binary32) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (/.f32 #s(literal -2 binary32) cosTheta)))))))) (*.f32 #s(literal 9465531/33554432 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 (/.f32 #s(literal -2 binary32) cosTheta)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal 9465531/16777216 binary32) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (/.f32 #s(literal -2 binary32) cosTheta)))))) #s(literal 2 binary32))))))))
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#s(approx (+ 16777216/9465531 (* -281474976710656/89596277111961 (* cosTheta (+ 7311685/16777216 c)))) (*.f32 #s(literal -281474976710656/89596277111961 binary32) (*.f32 c cosTheta)))
#s(approx (+ 16777216/9465531 (* -281474976710656/89596277111961 (* cosTheta (+ 7311685/16777216 c)))) (*.f32 c (fma.f32 #s(literal -281474976710656/89596277111961 binary32) cosTheta (fma.f32 #s(literal -122669718568960/89596277111961 binary32) (/.f32 cosTheta c) (*.f32 #s(literal 16777216/9465531 binary32) (/.f32 #s(literal 1 binary32) c))))))
#s(approx (* -281474976710656/89596277111961 (* cosTheta (+ 7311685/16777216 c))) (*.f32 c (fma.f32 #s(literal -281474976710656/89596277111961 binary32) cosTheta (*.f32 #s(literal -122669718568960/89596277111961 binary32) (/.f32 cosTheta c)))))
#s(approx (* cosTheta (+ 7311685/16777216 c)) (*.f32 c cosTheta))
#s(approx (* cosTheta (+ 7311685/16777216 c)) (*.f32 c (+.f32 cosTheta (*.f32 #s(literal 7311685/16777216 binary32) (/.f32 cosTheta c)))))
#s(approx (+ 7311685/16777216 c) (*.f32 c (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 7311685/16777216 binary32) (/.f32 #s(literal 1 binary32) c)))))
#s(approx (/ (+ 9465531/16777216 (* cosTheta (+ 7311685/16777216 (+ c (* -28396593/33554432 cosTheta))))) cosTheta) (*.f32 c (+.f32 #s(literal 1 binary32) (fma.f32 #s(literal -28396593/33554432 binary32) (/.f32 cosTheta c) (+.f32 (/.f32 #s(literal 9465531/16777216 binary32) (*.f32 c cosTheta)) (*.f32 #s(literal 7311685/16777216 binary32) (/.f32 #s(literal 1 binary32) c)))))))
#s(approx (+ 9465531/16777216 (* cosTheta (+ 7311685/16777216 (+ c (* -28396593/33554432 cosTheta))))) (*.f32 c (+.f32 cosTheta (fma.f32 #s(literal 9465531/16777216 binary32) (/.f32 #s(literal 1 binary32) c) (/.f32 (*.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) (*.f32 #s(literal -28396593/33554432 binary32) cosTheta))) c)))))
#s(approx (* cosTheta (+ 7311685/16777216 (+ c (* -28396593/33554432 cosTheta)))) (*.f32 c (+.f32 cosTheta (/.f32 (*.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) (*.f32 #s(literal -28396593/33554432 binary32) cosTheta))) c))))
#s(approx (+ 7311685/16777216 (+ c (* -28396593/33554432 cosTheta))) (*.f32 c (+.f32 #s(literal 1 binary32) (fma.f32 #s(literal -28396593/33554432 binary32) (/.f32 cosTheta c) (*.f32 #s(literal 7311685/16777216 binary32) (/.f32 #s(literal 1 binary32) c))))))
#s(approx (+ c (* -28396593/33554432 cosTheta)) (*.f32 c (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -28396593/33554432 binary32) (/.f32 cosTheta c)))))
#s(approx (/ (+ 9465531/16777216 (* cosTheta (+ 7311685/16777216 (+ c (* cosTheta (- (* 9465531/33554432 cosTheta) 28396593/33554432)))))) cosTheta) (*.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 9465531/16777216 binary32) (*.f32 c cosTheta)) (fma.f32 #s(literal 7311685/16777216 binary32) (/.f32 #s(literal 1 binary32) c) (/.f32 (*.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 c (+.f32 cosTheta (fma.f32 #s(literal 9465531/16777216 binary32) (/.f32 #s(literal 1 binary32) c) (/.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 (* cosTheta (+ 7311685/16777216 (+ c (* cosTheta (- (* 9465531/33554432 cosTheta) 28396593/33554432))))) (*.f32 c (+.f32 cosTheta (/.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 (+ 7311685/16777216 (+ c (* cosTheta (- (* 9465531/33554432 cosTheta) 28396593/33554432)))) (*.f32 c (+.f32 #s(literal 1 binary32) (fma.f32 #s(literal 7311685/16777216 binary32) (/.f32 #s(literal 1 binary32) c) (/.f32 (*.f32 cosTheta (-.f32 (*.f32 #s(literal 9465531/33554432 binary32) cosTheta) #s(literal 28396593/33554432 binary32))) c)))))
#s(approx (+ c (* cosTheta (- (* 9465531/33554432 cosTheta) 28396593/33554432))) (*.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 cosTheta (-.f32 (*.f32 #s(literal 9465531/33554432 binary32) cosTheta) #s(literal 28396593/33554432 binary32))) c))))
#s(approx (/ 1 (+ (* (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) 9465531/16777216) (exp (* (neg cosTheta) cosTheta))) (- c -1))) (*.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 (+ (* (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) 9465531/16777216) (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 #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 (+ (* (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) 9465531/16777216) (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 #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 (+ (* (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) 9465531/16777216) (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 #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 (* cosTheta (+ 16777216/9465531 (* -281474976710656/89596277111961 (* cosTheta (+ 7311685/16777216 c))))) (*.f32 #s(literal -1 binary32) (*.f32 c (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 cosTheta (+.f32 #s(literal 16777216/9465531 binary32) (*.f32 #s(literal -122669718568960/89596277111961 binary32) cosTheta))) c) (*.f32 #s(literal 281474976710656/89596277111961 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))
#s(approx (+ 16777216/9465531 (* -281474976710656/89596277111961 (* cosTheta (+ 7311685/16777216 c)))) (*.f32 #s(literal -1 binary32) (*.f32 c (fma.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 16777216/9465531 binary32) (*.f32 #s(literal -122669718568960/89596277111961 binary32) cosTheta)) c) (*.f32 #s(literal 281474976710656/89596277111961 binary32) cosTheta)))))
#s(approx (* -281474976710656/89596277111961 (* cosTheta (+ 7311685/16777216 c))) (*.f32 #s(literal -1 binary32) (*.f32 c (fma.f32 #s(literal 122669718568960/89596277111961 binary32) (/.f32 cosTheta c) (*.f32 #s(literal 281474976710656/89596277111961 binary32) cosTheta)))))
#s(approx (* cosTheta (+ 7311685/16777216 c)) (*.f32 #s(literal -1 binary32) (*.f32 c (fma.f32 #s(literal -1 binary32) cosTheta (*.f32 #s(literal -7311685/16777216 binary32) (/.f32 cosTheta c))))))
#s(approx (/ (+ 9465531/16777216 (* cosTheta (+ 7311685/16777216 (+ c (* -28396593/33554432 cosTheta))))) cosTheta) (*.f32 #s(literal -1 binary32) (*.f32 c (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 7311685/16777216 binary32) (fma.f32 #s(literal -28396593/33554432 binary32) cosTheta (*.f32 #s(literal 9465531/16777216 binary32) (/.f32 #s(literal 1 binary32) cosTheta)))) c)) #s(literal 1 binary32)))))
#s(approx (+ 9465531/16777216 (* cosTheta (+ 7311685/16777216 (+ c (* -28396593/33554432 cosTheta))))) (*.f32 #s(literal -1 binary32) (*.f32 c (fma.f32 #s(literal -1 binary32) cosTheta (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (*.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) (*.f32 #s(literal -28396593/33554432 binary32) cosTheta)))) c))))))
#s(approx (* cosTheta (+ 7311685/16777216 (+ c (* -28396593/33554432 cosTheta)))) (*.f32 #s(literal -1 binary32) (*.f32 c (fma.f32 #s(literal -1 binary32) cosTheta (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) (*.f32 #s(literal -28396593/33554432 binary32) cosTheta))) c))))))
#s(approx (+ 7311685/16777216 (+ c (* -28396593/33554432 cosTheta))) (*.f32 #s(literal -1 binary32) (*.f32 c (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 7311685/16777216 binary32) (*.f32 #s(literal -28396593/33554432 binary32) cosTheta)) c)) #s(literal 1 binary32)))))
#s(approx (+ c (* -28396593/33554432 cosTheta)) (*.f32 #s(literal -1 binary32) (*.f32 c (-.f32 (*.f32 #s(literal 28396593/33554432 binary32) (/.f32 cosTheta c)) #s(literal 1 binary32)))))
#s(approx (/ (+ 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 (+ 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 (* 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 (+ 7311685/16777216 (+ c (* cosTheta (- (* 9465531/33554432 cosTheta) 28396593/33554432)))) (*.f32 #s(literal -1 binary32) (*.f32 c (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 7311685/16777216 binary32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal 9465531/33554432 binary32) cosTheta) #s(literal 28396593/33554432 binary32)))) c)) #s(literal 1 binary32)))))
#s(approx (+ c (* cosTheta (- (* 9465531/33554432 cosTheta) 28396593/33554432))) (*.f32 #s(literal -1 binary32) (*.f32 c (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 cosTheta (-.f32 (*.f32 #s(literal 9465531/33554432 binary32) cosTheta) #s(literal 28396593/33554432 binary32))) c)) #s(literal 1 binary32)))))
Calls

6 calls:

TimeVariablePoint
5.0ms
cosTheta
-inf
5.0ms
c
0
5.0ms
cosTheta
inf
4.0ms
cosTheta
0
3.0ms
c
inf

rewrite169.0ms (4.4%)

Memory
44.3MiB live, 323.5MiB allocated; 14ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060471
094465
1490453
21899453
04088425
Stop Event
iter-limit
node-limit
iter-limit
Counts
48 → 801
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) #s(literal 9465531/16777216 binary32)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (-.f32 c #s(literal -1 binary32))))
#s(literal 1 binary32)
(fma.f32 (*.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) #s(literal 9465531/16777216 binary32)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (-.f32 c #s(literal -1 binary32)))
(*.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) #s(literal 9465531/16777216 binary32))
(/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)
(sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))
(-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)
(-.f32 #s(literal 1 binary32) cosTheta)
cosTheta
#s(literal 9465531/16777216 binary32)
(exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))
(*.f32 (neg.f32 cosTheta) cosTheta)
(neg.f32 cosTheta)
(-.f32 c #s(literal -1 binary32))
c
#s(literal -1 binary32)
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 #s(literal 16777216/9465531 binary32) cosTheta))
(*.f32 #s(literal 16777216/9465531 binary32) cosTheta)
#s(literal 16777216/9465531 binary32)
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 cosTheta (+.f32 #s(literal 16777216/9465531 binary32) (*.f32 #s(literal -281474976710656/89596277111961 binary32) (*.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) c))))))
(*.f32 cosTheta (+.f32 #s(literal 16777216/9465531 binary32) (*.f32 #s(literal -281474976710656/89596277111961 binary32) (*.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) c)))))
(+.f32 #s(literal 16777216/9465531 binary32) (*.f32 #s(literal -281474976710656/89596277111961 binary32) (*.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) c))))
(*.f32 #s(literal -281474976710656/89596277111961 binary32) (*.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) c)))
#s(literal -281474976710656/89596277111961 binary32)
(*.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) c))
(+.f32 #s(literal 7311685/16777216 binary32) c)
#s(literal 7311685/16777216 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (*.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) (+.f32 c (*.f32 #s(literal -28396593/33554432 binary32) cosTheta))))) cosTheta)))
#s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (*.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) (+.f32 c (*.f32 #s(literal -28396593/33554432 binary32) cosTheta))))) cosTheta))
(/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (*.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) (+.f32 c (*.f32 #s(literal -28396593/33554432 binary32) cosTheta))))) cosTheta)
(+.f32 #s(literal 9465531/16777216 binary32) (*.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) (+.f32 c (*.f32 #s(literal -28396593/33554432 binary32) cosTheta)))))
(*.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) (+.f32 c (*.f32 #s(literal -28396593/33554432 binary32) cosTheta))))
(+.f32 #s(literal 7311685/16777216 binary32) (+.f32 c (*.f32 #s(literal -28396593/33554432 binary32) cosTheta)))
(+.f32 c (*.f32 #s(literal -28396593/33554432 binary32) cosTheta))
(*.f32 #s(literal -28396593/33554432 binary32) cosTheta)
#s(literal -28396593/33554432 binary32)
(/.f32 #s(literal 1 binary32) #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)))
#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 (+.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 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 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 7311685/16777216 binary32) (+.f32 c (*.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 cosTheta (-.f32 (*.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 #s(literal 9465531/33554432 binary32) cosTheta)
#s(literal 9465531/33554432 binary32)
#s(literal 28396593/33554432 binary32)
Outputs
(*.f32 (pow.f32 (fma.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (*.f32 #s(literal 9465531/16777216 binary32) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (-.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 #s(literal 9465531/16777216 binary32) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (-.f32 c #s(literal -1 binary32))) (/.f32 #s(literal -1 binary32) #s(literal 2 binary32))))
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(exp.f32 (*.f32 (log.f32 (fma.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (*.f32 #s(literal 9465531/16777216 binary32) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (-.f32 c #s(literal -1 binary32)))) #s(literal -1 binary32)))
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#s(literal 1 binary32)
(*.f32 (+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (*.f32 #s(literal 9465531/16777216 binary32) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) c) #s(literal 1 binary32))) #s(literal 1 binary32))
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(/.f32 (+.f32 (pow.f32 c #s(literal 3 binary32)) (pow.f32 (*.f32 (neg.f32 (neg.f32 cosTheta)) (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32))) #s(literal 3 binary32))) (fma.f32 c c (-.f32 (*.f32 (*.f32 (neg.f32 (neg.f32 cosTheta)) (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32))) (*.f32 (neg.f32 (neg.f32 cosTheta)) (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32)))) (*.f32 c (*.f32 (neg.f32 (neg.f32 cosTheta)) (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32)))))))
(/.f32 (-.f32 (pow.f32 (*.f32 (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32)) cosTheta) #s(literal 3 binary32)) (pow.f32 (neg.f32 c) #s(literal 3 binary32))) (fma.f32 (*.f32 (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32)) cosTheta) (*.f32 (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32)) cosTheta) (fma.f32 (neg.f32 c) (neg.f32 c) (*.f32 (*.f32 (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32)) cosTheta) (neg.f32 c)))))
(/.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32)) cosTheta) (*.f32 (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32)) cosTheta)) (*.f32 c c)) (-.f32 (*.f32 (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32)) cosTheta) c))
(/.f32 (-.f32 (*.f32 c c) (*.f32 (*.f32 (-.f32 #s(literal 28396593/33554432 binary32) (*.f32 #s(literal 9465531/33554432 binary32) cosTheta)) cosTheta) (*.f32 (-.f32 #s(literal 28396593/33554432 binary32) (*.f32 #s(literal 9465531/33554432 binary32) cosTheta)) cosTheta))) (+.f32 c (*.f32 (-.f32 #s(literal 28396593/33554432 binary32) (*.f32 #s(literal 9465531/33554432 binary32) cosTheta)) cosTheta)))
(/.f32 (+.f32 (pow.f32 (*.f32 (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32)) cosTheta) #s(literal 3 binary32)) (pow.f32 c #s(literal 3 binary32))) (fma.f32 (*.f32 (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32)) cosTheta) (*.f32 (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32)) cosTheta) (-.f32 (*.f32 c c) (*.f32 (*.f32 (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32)) cosTheta) c))))
(/.f32 (-.f32 (pow.f32 c #s(literal 3 binary32)) (pow.f32 (*.f32 (-.f32 #s(literal 28396593/33554432 binary32) (*.f32 #s(literal 9465531/33554432 binary32) cosTheta)) cosTheta) #s(literal 3 binary32))) (fma.f32 c c (fma.f32 (*.f32 (-.f32 #s(literal 28396593/33554432 binary32) (*.f32 #s(literal 9465531/33554432 binary32) cosTheta)) cosTheta) (*.f32 (-.f32 #s(literal 28396593/33554432 binary32) (*.f32 #s(literal 9465531/33554432 binary32) cosTheta)) cosTheta) (*.f32 c (*.f32 (-.f32 #s(literal 28396593/33554432 binary32) (*.f32 #s(literal 9465531/33554432 binary32) cosTheta)) cosTheta)))))
(/.f32 (-.f32 (*.f32 c c) (*.f32 (*.f32 (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32)) cosTheta) (*.f32 (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32)) cosTheta))) (-.f32 c (*.f32 (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32)) cosTheta)))
(/.f32 (+.f32 (pow.f32 c #s(literal 3 binary32)) (pow.f32 (*.f32 (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32)) cosTheta) #s(literal 3 binary32))) (fma.f32 c c (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32)) cosTheta) (*.f32 (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32)) cosTheta)) (*.f32 c (*.f32 (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32)) cosTheta)))))
(-.f32 (*.f32 (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32)) cosTheta) (neg.f32 c))
(-.f32 c (*.f32 (-.f32 #s(literal 28396593/33554432 binary32) (*.f32 #s(literal 9465531/33554432 binary32) cosTheta)) cosTheta))
(fma.f32 (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32)) cosTheta c)
(fma.f32 cosTheta (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32)) c)
(+.f32 (*.f32 (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32)) cosTheta) c)
(+.f32 c (*.f32 (neg.f32 (neg.f32 cosTheta)) (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32))))
(+.f32 c (*.f32 (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32)) cosTheta))
(neg.f32 (neg.f32 (fma.f32 (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32)) cosTheta c)))
(*.f32 (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32)) cosTheta)
(*.f32 cosTheta (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32)))
(/.f32 (+.f32 (pow.f32 (*.f32 cosTheta (*.f32 #s(literal 9465531/33554432 binary32) cosTheta)) #s(literal 3 binary32)) (pow.f32 (*.f32 #s(literal -28396593/33554432 binary32) cosTheta) #s(literal 3 binary32))) (fma.f32 (*.f32 cosTheta (*.f32 #s(literal 9465531/33554432 binary32) cosTheta)) (*.f32 cosTheta (*.f32 #s(literal 9465531/33554432 binary32) cosTheta)) (-.f32 (*.f32 (*.f32 #s(literal -28396593/33554432 binary32) cosTheta) (*.f32 #s(literal -28396593/33554432 binary32) cosTheta)) (*.f32 (*.f32 cosTheta (*.f32 #s(literal 9465531/33554432 binary32) cosTheta)) (*.f32 #s(literal -28396593/33554432 binary32) cosTheta)))))
(/.f32 (+.f32 (pow.f32 (*.f32 (*.f32 #s(literal 9465531/33554432 binary32) cosTheta) cosTheta) #s(literal 3 binary32)) (pow.f32 (*.f32 #s(literal -28396593/33554432 binary32) cosTheta) #s(literal 3 binary32))) (fma.f32 (*.f32 (*.f32 #s(literal 9465531/33554432 binary32) cosTheta) cosTheta) (*.f32 (*.f32 #s(literal 9465531/33554432 binary32) cosTheta) cosTheta) (-.f32 (*.f32 (*.f32 #s(literal -28396593/33554432 binary32) cosTheta) (*.f32 #s(literal -28396593/33554432 binary32) cosTheta)) (*.f32 (*.f32 (*.f32 #s(literal 9465531/33554432 binary32) cosTheta) cosTheta) (*.f32 #s(literal -28396593/33554432 binary32) cosTheta)))))
(fma.f32 (*.f32 #s(literal 9465531/33554432 binary32) cosTheta) cosTheta (*.f32 #s(literal -28396593/33554432 binary32) cosTheta))
(fma.f32 cosTheta (*.f32 #s(literal 9465531/33554432 binary32) cosTheta) (*.f32 #s(literal -28396593/33554432 binary32) cosTheta))
(+.f32 (*.f32 cosTheta (*.f32 #s(literal 9465531/33554432 binary32) cosTheta)) (*.f32 #s(literal -28396593/33554432 binary32) cosTheta))
(+.f32 (*.f32 (*.f32 #s(literal 9465531/33554432 binary32) cosTheta) cosTheta) (*.f32 #s(literal -28396593/33554432 binary32) cosTheta))
(neg.f32 (*.f32 (-.f32 #s(literal 28396593/33554432 binary32) (*.f32 #s(literal 9465531/33554432 binary32) cosTheta)) cosTheta))
(*.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -28396593/33554432 binary32) (*.f32 #s(literal 9465531/33554432 binary32) cosTheta))) (*.f32 #s(literal 9465531/33554432 binary32) cosTheta))
(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 28396593/33554432 binary32) (*.f32 #s(literal 9465531/33554432 binary32) cosTheta))) (*.f32 #s(literal 9465531/33554432 binary32) cosTheta))
(/.f32 (+.f32 (pow.f32 #s(literal -28396593/33554432 binary32) #s(literal 3 binary32)) (pow.f32 (*.f32 #s(literal 9465531/33554432 binary32) cosTheta) #s(literal 3 binary32))) (fma.f32 #s(literal -28396593/33554432 binary32) #s(literal -28396593/33554432 binary32) (-.f32 (*.f32 (*.f32 #s(literal 9465531/33554432 binary32) cosTheta) (*.f32 #s(literal 9465531/33554432 binary32) cosTheta)) (*.f32 #s(literal -28396593/33554432 binary32) (*.f32 #s(literal 9465531/33554432 binary32) cosTheta)))))
(/.f32 (-.f32 (*.f32 (*.f32 #s(literal 9465531/33554432 binary32) cosTheta) (*.f32 #s(literal 9465531/33554432 binary32) cosTheta)) (*.f32 #s(literal -28396593/33554432 binary32) #s(literal -28396593/33554432 binary32))) (-.f32 (*.f32 #s(literal 9465531/33554432 binary32) cosTheta) #s(literal -28396593/33554432 binary32)))
(/.f32 (+.f32 (pow.f32 (*.f32 #s(literal 9465531/33554432 binary32) cosTheta) #s(literal 3 binary32)) (pow.f32 #s(literal -28396593/33554432 binary32) #s(literal 3 binary32))) (fma.f32 (*.f32 #s(literal 9465531/33554432 binary32) cosTheta) (*.f32 #s(literal 9465531/33554432 binary32) cosTheta) (-.f32 (*.f32 #s(literal -28396593/33554432 binary32) #s(literal -28396593/33554432 binary32)) (*.f32 (*.f32 #s(literal 9465531/33554432 binary32) cosTheta) #s(literal -28396593/33554432 binary32)))))
(/.f32 (-.f32 (*.f32 (*.f32 #s(literal 9465531/33554432 binary32) cosTheta) (*.f32 #s(literal 9465531/33554432 binary32) cosTheta)) (*.f32 #s(literal 28396593/33554432 binary32) #s(literal 28396593/33554432 binary32))) (+.f32 (*.f32 #s(literal 9465531/33554432 binary32) cosTheta) #s(literal 28396593/33554432 binary32)))
(/.f32 (-.f32 (pow.f32 (*.f32 #s(literal 9465531/33554432 binary32) cosTheta) #s(literal 3 binary32)) (pow.f32 #s(literal 28396593/33554432 binary32) #s(literal 3 binary32))) (fma.f32 (*.f32 #s(literal 9465531/33554432 binary32) cosTheta) (*.f32 #s(literal 9465531/33554432 binary32) cosTheta) (fma.f32 #s(literal 28396593/33554432 binary32) #s(literal 28396593/33554432 binary32) (*.f32 (*.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))
(fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32))
(fma.f32 cosTheta #s(literal 9465531/33554432 binary32) #s(literal -28396593/33554432 binary32))
(+.f32 (*.f32 #s(literal 9465531/33554432 binary32) cosTheta) #s(literal -28396593/33554432 binary32))
(+.f32 #s(literal -28396593/33554432 binary32) (*.f32 #s(literal 9465531/33554432 binary32) cosTheta))
(neg.f32 (-.f32 #s(literal 28396593/33554432 binary32) (*.f32 #s(literal 9465531/33554432 binary32) cosTheta)))
(*.f32 #s(literal 9465531/33554432 binary32) cosTheta)
(*.f32 cosTheta #s(literal 9465531/33554432 binary32))
#s(literal 9465531/33554432 binary32)
#s(literal 28396593/33554432 binary32)

eval120.0ms (3.1%)

Memory
-15.5MiB live, 270.0MiB allocated; 31ms collecting garbage
Compiler

Compiled 45 342 to 5 833 computations (87.1% saved)

prune42.0ms (1.1%)

Memory
14.2MiB live, 107.1MiB allocated; 3ms collecting garbage
Pruning

34 alts after pruning (31 fresh and 3 done)

PrunedKeptTotal
New95623979
Fresh7815
Picked325
Done011
Total966341 000
Accuracy
100.0%
Counts
1 000 → 34
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.8%
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)) #s(literal 9465531/16777216 binary32) (-.f32 c #s(literal -1 binary32))))
97.8%
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (*.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) #s(literal 9465531/16777216 binary32)) (-.f32 c #s(literal -1 binary32))))
97.9%
(/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) #s(literal 9465531/16777216 binary32)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (-.f32 c #s(literal -1 binary32))))
97.8%
(/.f32 #s(literal 1 binary32) (-.f32 c (-.f32 #s(literal -1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)))))
96.5%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -3/2 binary32) cosTheta) #s(literal 1 binary32)))) cosTheta)) (sqrt.f32 (PI.f32)))))
96.2%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -28396593/33554432 binary32) cosTheta) #s(literal 9465531/16777216 binary32)))) cosTheta))))
94.9%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (*.f32 #s(literal -9465531/16777216 binary32) cosTheta)) cosTheta))))
92.0%
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (sqrt (PI)))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32))))))
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(literal -28396593/33554432 binary32) cosTheta c) #s(literal -7311685/16777216 binary32)) cosTheta #s(literal 9465531/16777216 binary32)) cosTheta)))
96.7%
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (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 (+.f32 #s(literal 9465531/16777216 binary32) (*.f32 cosTheta (fma.f32 cosTheta #s(literal -28396593/33554432 binary32) (-.f32 c #s(literal -7311685/16777216 binary32))))) cosTheta)))
94.9%
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (*.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) #s(approx (+ c (* -28396593/33554432 cosTheta)) c)))) cosTheta)))
96.4%
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (*.f32 cosTheta #s(approx (+ 7311685/16777216 (+ c (* cosTheta (- (* 9465531/33554432 cosTheta) 28396593/33554432)))) (+.f32 #s(literal 7311685/16777216 binary32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal 9465531/33554432 binary32) cosTheta) #s(literal 28396593/33554432 binary32))))))) cosTheta)))
96.0%
(/.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 #s(approx (+ 7311685/16777216 (+ c (* -28396593/33554432 cosTheta))) (+.f32 #s(literal 7311685/16777216 binary32) (*.f32 #s(literal -28396593/33554432 binary32) cosTheta))))) cosTheta)))
91.9%
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(approx (+ 9465531/16777216 (* cosTheta (+ 7311685/16777216 (+ c (* -28396593/33554432 cosTheta))))) #s(literal 9465531/16777216 binary32)) cosTheta)))
96.1%
(/.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 #s(literal -28396593/33554432 binary32) cosTheta c) #s(literal -7311685/16777216 binary32)) cosTheta #s(literal 9465531/16777216 binary32))))))
96.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (/.f32 (*.f32 #s(literal 7311685/16777216 binary32) cosTheta) cosTheta) (/.f32 (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))))
96.6%
(/.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(literal -28396593/33554432 binary32) cosTheta c) #s(literal -7311685/16777216 binary32)) (/.f32 #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 (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) 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)))))))
96.0%
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) #s(approx (/ (+ 9465531/16777216 (* cosTheta (+ 7311685/16777216 (+ c (* -28396593/33554432 cosTheta))))) cosTheta) (+.f32 c (+.f32 (+.f32 #s(literal 7311685/16777216 binary32) (*.f32 #s(literal -28396593/33554432 binary32) cosTheta)) (*.f32 #s(literal 9465531/16777216 binary32) (/.f32 #s(literal 1 binary32) cosTheta)))))))
95.9%
(*.f32 (pow.f32 #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (-.f32 (fma.f32 #s(literal -28396593/33554432 binary32) cosTheta c) #s(literal -7311685/16777216 binary32)) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta))) (/.f32 #s(literal -1 binary32) #s(literal 2 binary32))) (pow.f32 #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (-.f32 (fma.f32 #s(literal -28396593/33554432 binary32) cosTheta c) #s(literal -7311685/16777216 binary32)) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta))) (/.f32 #s(literal -1 binary32) #s(literal 2 binary32))))
90.1%
(exp.f32 (*.f32 (log.f32 (fma.f32 #s(literal 9465531/16777216 binary32) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)) (-.f32 c #s(literal -1 binary32)))) #s(literal -1 binary32)))
88.9%
(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)))
88.4%
(exp.f32 (*.f32 (log.f32 #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (-.f32 (fma.f32 #s(literal -28396593/33554432 binary32) cosTheta c) #s(literal -7311685/16777216 binary32)) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta)))) #s(literal -1 binary32)))
96.7%
#s(approx (/ 1 (+ (+ 1 c) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (sqrt (PI))))) (*.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))))))))))
92.5%
#s(approx (/ 1 (+ (+ 1 c) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (sqrt (PI))))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))
95.4%
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (fma.f32 (*.f32 (-.f32 c #s(literal -7311685/16777216 binary32)) cosTheta) (*.f32 #s(literal -281474976710656/89596277111961 binary32) cosTheta) (*.f32 #s(literal 16777216/9465531 binary32) cosTheta)))
95.3%
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (fma.f32 (*.f32 (-.f32 c #s(literal -7311685/16777216 binary32)) cosTheta) #s(literal -281474976710656/89596277111961 binary32) #s(literal 16777216/9465531 binary32)) cosTheta))
95.4%
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (*.f32 (-.f32 c #s(literal -7311685/16777216 binary32)) cosTheta) #s(literal -281474976710656/89596277111961 binary32)) cosTheta) (*.f32 #s(literal 16777216/9465531 binary32) cosTheta))) (*.f32 #s(literal 16777216/9465531 binary32) cosTheta)))
95.2%
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 cosTheta (+.f32 #s(literal 16777216/9465531 binary32) #s(approx (* -281474976710656/89596277111961 (* cosTheta (+ 7311685/16777216 c))) (*.f32 #s(literal -122669718568960/89596277111961 binary32) cosTheta)))))
94.6%
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 cosTheta #s(approx (+ 16777216/9465531 (* -281474976710656/89596277111961 (* cosTheta (+ 7311685/16777216 c)))) (*.f32 cosTheta (fma.f32 #s(literal -281474976710656/89596277111961 binary32) (+.f32 #s(literal 7311685/16777216 binary32) c) (*.f32 #s(literal 16777216/9465531 binary32) (/.f32 #s(literal 1 binary32) cosTheta)))))))
92.4%
#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 2 454 to 1 739 computations (29.1% saved)

sample0.0ms (0.0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
1
9465531/16777216
-1
(sqrt (PI))
(PI)
-28396593/33554432
-7311685/16777216
9465531/33554432
Outputs
#s(literal 1 binary32)
#s(literal 9465531/16777216 binary32)
#s(literal -1 binary32)
#s(literal 14868421/8388608 binary32)
#s(literal 13176795/4194304 binary32)
#s(literal -1774787/2097152 binary32)
#s(literal -7311685/16777216 binary32)
#s(literal 9465531/33554432 binary32)
Samples
0.0ms0valid
Compiler

Compiled 11 to 10 computations (9.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
adjust: 0.0ms (0.0% of total)

series60.0ms (1.6%)

Memory
-29.3MiB live, 113.4MiB allocated; 8ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09557801
Stop Event
iter-limit
Counts
40 → 167
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (*.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) #s(literal 9465531/16777216 binary32)) (-.f32 c #s(literal -1 binary32))))
#s(literal 1 binary32)
(fma.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (*.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) #s(literal 9465531/16777216 binary32)) (-.f32 c #s(literal -1 binary32)))
(/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)
(sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))
(-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)
(-.f32 #s(literal 1 binary32) cosTheta)
cosTheta
(*.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) #s(literal 9465531/16777216 binary32))
(exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))
(*.f32 (neg.f32 cosTheta) cosTheta)
(neg.f32 cosTheta)
#s(literal 9465531/16777216 binary32)
(-.f32 c #s(literal -1 binary32))
c
#s(literal -1 binary32)
#s(approx (/ 1 (+ (+ 1 c) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (sqrt (PI))))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))
(*.f32 cosTheta (sqrt.f32 (PI.f32)))
(sqrt.f32 (PI.f32))
(PI.f32)
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (-.f32 (fma.f32 #s(literal -28396593/33554432 binary32) cosTheta c) #s(literal -7311685/16777216 binary32)) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta))))
#s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (-.f32 (fma.f32 #s(literal -28396593/33554432 binary32) cosTheta c) #s(literal -7311685/16777216 binary32)) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta)))
(+.f32 (-.f32 (fma.f32 #s(literal -28396593/33554432 binary32) cosTheta c) #s(literal -7311685/16777216 binary32)) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta))
(-.f32 (fma.f32 #s(literal -28396593/33554432 binary32) cosTheta c) #s(literal -7311685/16777216 binary32))
(fma.f32 #s(literal -28396593/33554432 binary32) cosTheta c)
#s(literal -28396593/33554432 binary32)
#s(literal -7311685/16777216 binary32)
(/.f32 #s(literal 9465531/16777216 binary32) cosTheta)
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (-.f32 (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(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 (-.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 (fma.f32 (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32)) cosTheta c) #s(literal -7311685/16777216 binary32))
(fma.f32 (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32)) cosTheta c)
(fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32))
#s(literal 9465531/33554432 binary32)
(/.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 (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) cosTheta))))
#s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (*.f32 (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) cosTheta)))
(*.f32 (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) 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) cosTheta)
Outputs
#s(approx (/ 1 (+ (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (* (exp (* (neg cosTheta) cosTheta)) 9465531/16777216)) (- c -1))) (*.f32 #s(literal 16777216/9465531 binary32) cosTheta))
#s(approx (/ 1 (+ (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (* (exp (* (neg cosTheta) cosTheta)) 9465531/16777216)) (- c -1))) (*.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 (+ (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (* (exp (* (neg cosTheta) cosTheta)) 9465531/16777216)) (- c -1))) (*.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 (+ (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (* (exp (* (neg cosTheta) cosTheta)) 9465531/16777216)) (- c -1))) (*.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 (+ (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (* (exp (* (neg cosTheta) cosTheta)) 9465531/16777216)) (- c -1)) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta))
#s(approx (+ (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (* (exp (* (neg cosTheta) cosTheta)) 9465531/16777216)) (- c -1)) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (*.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) c))) cosTheta))
#s(approx (+ (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (* (exp (* (neg cosTheta) cosTheta)) 9465531/16777216)) (- c -1)) (/.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 (+ (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (* (exp (* (neg cosTheta) cosTheta)) 9465531/16777216)) (- c -1)) (/.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 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (/.f32 #s(literal 1 binary32) cosTheta))
#s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) cosTheta)) cosTheta))
#s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1 binary32)))) cosTheta))
#s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1/2 binary32))) #s(literal 1 binary32)))) cosTheta))
#s(approx (sqrt (- (- 1 cosTheta) cosTheta)) #s(literal 1 binary32))
#s(approx (sqrt (- (- 1 cosTheta) cosTheta)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) cosTheta)))
#s(approx (sqrt (- (- 1 cosTheta) cosTheta)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1 binary32)))))
#s(approx (sqrt (- (- 1 cosTheta) cosTheta)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1/2 binary32))) #s(literal 1 binary32)))))
#s(approx (- (- 1 cosTheta) cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)))
#s(approx cosTheta cosTheta)
#s(approx (* (exp (* (neg cosTheta) cosTheta)) 9465531/16777216) #s(literal 9465531/16777216 binary32))
#s(approx (* (exp (* (neg cosTheta) cosTheta)) 9465531/16777216) (+.f32 #s(literal 9465531/16777216 binary32) (*.f32 #s(literal -9465531/16777216 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))
#s(approx (* (exp (* (neg cosTheta) cosTheta)) 9465531/16777216) (+.f32 #s(literal 9465531/16777216 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 9465531/33554432 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) #s(literal 9465531/16777216 binary32)))))
#s(approx (* (exp (* (neg cosTheta) cosTheta)) 9465531/16777216) (+.f32 #s(literal 9465531/16777216 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 #s(literal 9465531/33554432 binary32) (*.f32 #s(literal -3155177/33554432 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))) #s(literal 9465531/16777216 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 (* (neg cosTheta) cosTheta) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))
#s(approx (neg cosTheta) (*.f32 #s(literal -1 binary32) cosTheta))
#s(approx (/ 1 (+ (+ 1 c) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (sqrt (PI))))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))
#s(approx (/ 1 (+ (+ 1 c) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (sqrt (PI))))) (*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (*.f32 (pow.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))
#s(approx (/ 1 (+ (+ 1 c) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (sqrt (PI))))) (*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (sqrt.f32 (PI.f32)) #s(literal 3 binary32)) (pow.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) #s(literal 2 binary32))))))) (*.f32 (pow.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))
#s(approx (/ 1 (+ (+ 1 c) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (sqrt (PI))))) (*.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 (- (+ (* -28396593/33554432 cosTheta) c) -7311685/16777216) (+.f32 #s(literal 7311685/16777216 binary32) c))
#s(approx (- (+ (* -28396593/33554432 cosTheta) c) -7311685/16777216) (+.f32 #s(literal 7311685/16777216 binary32) (+.f32 c (*.f32 #s(literal -28396593/33554432 binary32) cosTheta))))
#s(approx (+ (* -28396593/33554432 cosTheta) c) c)
#s(approx (+ (* -28396593/33554432 cosTheta) c) (+.f32 c (*.f32 #s(literal -28396593/33554432 binary32) cosTheta)))
#s(approx (- (+ (* (+ (* 9465531/33554432 cosTheta) -28396593/33554432) cosTheta) c) -7311685/16777216) (+.f32 #s(literal 7311685/16777216 binary32) (+.f32 c (*.f32 cosTheta (-.f32 (*.f32 #s(literal 9465531/33554432 binary32) cosTheta) #s(literal 28396593/33554432 binary32))))))
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#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 (+ (* (- (+ (* (+ (* 9465531/33554432 cosTheta) -28396593/33554432) cosTheta) c) -7311685/16777216) cosTheta) 9465531/16777216) (+.f32 #s(literal 9465531/16777216 binary32) (*.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) c))))
#s(approx (+ (* (- (+ (* (+ (* 9465531/33554432 cosTheta) -28396593/33554432) cosTheta) c) -7311685/16777216) cosTheta) 9465531/16777216) (+.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 (+ (* (- (+ (* (+ (* 9465531/33554432 cosTheta) -28396593/33554432) cosTheta) c) -7311685/16777216) cosTheta) 9465531/16777216) (+.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))))))))
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#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)))))))
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#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)))))))
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Calls

6 calls:

TimeVariablePoint
5.0ms
cosTheta
inf
4.0ms
cosTheta
-inf
3.0ms
cosTheta
0
2.0ms
c
0
2.0ms
c
-inf

rewrite198.0ms (5.2%)

Memory
30.6MiB live, 362.4MiB allocated; 17ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060422
094413
1504407
21951407
04766399
Stop Event
iter-limit
node-limit
iter-limit
Counts
40 → 833
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (*.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) #s(literal 9465531/16777216 binary32)) (-.f32 c #s(literal -1 binary32))))
#s(literal 1 binary32)
(fma.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (*.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) #s(literal 9465531/16777216 binary32)) (-.f32 c #s(literal -1 binary32)))
(/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)
(sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))
(-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)
(-.f32 #s(literal 1 binary32) cosTheta)
cosTheta
(*.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) #s(literal 9465531/16777216 binary32))
(exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))
(*.f32 (neg.f32 cosTheta) cosTheta)
(neg.f32 cosTheta)
#s(literal 9465531/16777216 binary32)
(-.f32 c #s(literal -1 binary32))
c
#s(literal -1 binary32)
#s(approx (/ 1 (+ (+ 1 c) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (sqrt (PI))))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))
(*.f32 cosTheta (sqrt.f32 (PI.f32)))
(sqrt.f32 (PI.f32))
(PI.f32)
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (-.f32 (fma.f32 #s(literal -28396593/33554432 binary32) cosTheta c) #s(literal -7311685/16777216 binary32)) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta))))
#s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (-.f32 (fma.f32 #s(literal -28396593/33554432 binary32) cosTheta c) #s(literal -7311685/16777216 binary32)) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta)))
(+.f32 (-.f32 (fma.f32 #s(literal -28396593/33554432 binary32) cosTheta c) #s(literal -7311685/16777216 binary32)) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta))
(-.f32 (fma.f32 #s(literal -28396593/33554432 binary32) cosTheta c) #s(literal -7311685/16777216 binary32))
(fma.f32 #s(literal -28396593/33554432 binary32) cosTheta c)
#s(literal -28396593/33554432 binary32)
#s(literal -7311685/16777216 binary32)
(/.f32 #s(literal 9465531/16777216 binary32) cosTheta)
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (-.f32 (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(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 (-.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 (fma.f32 (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32)) cosTheta c) #s(literal -7311685/16777216 binary32))
(fma.f32 (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32)) cosTheta c)
(fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32))
#s(literal 9465531/33554432 binary32)
(/.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 (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) cosTheta))))
#s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (*.f32 (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) cosTheta)))
(*.f32 (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) 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) cosTheta)
Outputs
(*.f32 (pow.f32 (fma.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)) #s(literal 9465531/16777216 binary32) (-.f32 c #s(literal -1 binary32))) (/.f32 #s(literal -1 binary32) #s(literal 2 binary32))) (pow.f32 (fma.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)) #s(literal 9465531/16777216 binary32) (-.f32 c #s(literal -1 binary32))) (/.f32 #s(literal -1 binary32) #s(literal 2 binary32))))
(*.f32 (/.f32 #s(literal -1 binary32) (fma.f32 #s(literal -9465531/16777216 binary32) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)) (-.f32 #s(literal -1 binary32) c))) #s(literal 1 binary32))
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -9465531/16777216 binary32) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)) (-.f32 #s(literal -1 binary32) c))))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (fma.f32 #s(literal -9465531/16777216 binary32) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)) (-.f32 #s(literal -1 binary32) c))))
(/.f32 #s(literal -2 binary32) (*.f32 (fma.f32 #s(literal -9465531/16777216 binary32) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)) (-.f32 #s(literal -1 binary32) c)) #s(literal 2 binary32)))
(/.f32 #s(literal -2 binary32) (*.f32 #s(literal 2 binary32) (fma.f32 #s(literal -9465531/16777216 binary32) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)) (-.f32 #s(literal -1 binary32) c))))
(/.f32 #s(literal 2 binary32) (*.f32 (fma.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)) #s(literal 9465531/16777216 binary32) (-.f32 c #s(literal -1 binary32))) #s(literal 2 binary32)))
(/.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (fma.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)) #s(literal 9465531/16777216 binary32) (-.f32 c #s(literal -1 binary32)))))
(/.f32 #s(literal -1 binary32) (-.f32 (*.f32 #s(literal -9465531/16777216 binary32) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta))) (-.f32 c #s(literal -1 binary32))))
(/.f32 #s(literal -1 binary32) (fma.f32 #s(literal -9465531/16777216 binary32) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)) (-.f32 #s(literal -1 binary32) c)))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -9465531/16777216 binary32) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)) (-.f32 #s(literal -1 binary32) c)) #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)) #s(literal 9465531/16777216 binary32) (-.f32 c #s(literal -1 binary32))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)) #s(literal 9465531/16777216 binary32) (-.f32 c #s(literal -1 binary32))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)) #s(literal 9465531/16777216 binary32) (-.f32 c #s(literal -1 binary32))))
(fma.f32 (/.f32 #s(literal -1 binary32) (fma.f32 #s(literal -9465531/16777216 binary32) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)) (-.f32 #s(literal -1 binary32) c))) #s(literal 1 binary32) (/.f32 #s(literal 0 binary32) (fma.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)) #s(literal 9465531/16777216 binary32) (-.f32 c #s(literal -1 binary32)))))
(fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -9465531/16777216 binary32) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)) (-.f32 #s(literal -1 binary32) c))) (/.f32 #s(literal 0 binary32) (fma.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)) #s(literal 9465531/16777216 binary32) (-.f32 c #s(literal -1 binary32)))))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (fma.f32 #s(literal -9465531/16777216 binary32) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)) (-.f32 #s(literal -1 binary32) c))) (/.f32 #s(literal 0 binary32) (fma.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)) #s(literal 9465531/16777216 binary32) (-.f32 c #s(literal -1 binary32)))))
(pow.f32 (fma.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)) #s(literal 9465531/16777216 binary32) (-.f32 c #s(literal -1 binary32))) #s(literal -1 binary32))
(+.f32 (/.f32 #s(literal -1 binary32) (fma.f32 #s(literal -9465531/16777216 binary32) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)) (-.f32 #s(literal -1 binary32) c))) (/.f32 #s(literal 0 binary32) (fma.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)) #s(literal 9465531/16777216 binary32) (-.f32 c #s(literal -1 binary32)))))
(exp.f32 (*.f32 (log.f32 (fma.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)) #s(literal 9465531/16777216 binary32) (-.f32 c #s(literal -1 binary32)))) #s(literal -1 binary32)))
(neg.f32 (*.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (fma.f32 #s(literal -9465531/16777216 binary32) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)) (-.f32 #s(literal -1 binary32) c)))))
(neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -9465531/16777216 binary32) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)) (-.f32 #s(literal -1 binary32) c))))
#s(literal 1 binary32)
(*.f32 (+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)) #s(literal 9465531/16777216 binary32) c) #s(literal 1 binary32))) #s(literal 1 binary32))
(*.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)) #s(literal 9465531/16777216 binary32)) (-.f32 c #s(literal -1 binary32)))) (-.f32 c #s(literal -1 binary32)))
(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -9465531/16777216 binary32) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta))) (-.f32 c #s(literal -1 binary32)))) (-.f32 c #s(literal -1 binary32)))
(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (fma.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)) #s(literal 9465531/16777216 binary32) c))) (fma.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)) #s(literal 9465531/16777216 binary32) c))
(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal -1 binary32) c) (*.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)) #s(literal 9465531/16777216 binary32)))) (*.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)) #s(literal 9465531/16777216 binary32)))
(*.f32 (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 c #s(literal -1 binary32)) (*.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)) #s(literal 9465531/16777216 binary32)))) (*.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)) #s(literal 9465531/16777216 binary32)))
(/.f32 (+.f32 (pow.f32 (fma.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)) #s(literal 9465531/16777216 binary32) #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 c #s(literal 3 binary32))) (fma.f32 (fma.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)) #s(literal 9465531/16777216 binary32) #s(literal 1 binary32)) (fma.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)) #s(literal 9465531/16777216 binary32) #s(literal 1 binary32)) (-.f32 (*.f32 c c) (*.f32 (fma.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)) #s(literal 9465531/16777216 binary32) #s(literal 1 binary32)) c))))
(/.f32 (+.f32 (pow.f32 (fma.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)) #s(literal 9465531/16777216 binary32) c) #s(literal 3 binary32)) (pow.f32 #s(literal 1 binary32) #s(literal 3 binary32))) (fma.f32 (fma.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)) #s(literal 9465531/16777216 binary32) c) (fma.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)) #s(literal 9465531/16777216 binary32) c) (-.f32 (*.f32 #s(literal 1 binary32) #s(literal 1 binary32)) (*.f32 (fma.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)) #s(literal 9465531/16777216 binary32) c) #s(literal 1 binary32)))))
(/.f32 (+.f32 (pow.f32 (-.f32 c #s(literal -1 binary32)) #s(literal 3 binary32)) (pow.f32 (*.f32 (neg.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 3 binary32))) (fma.f32 (-.f32 c #s(literal -1 binary32)) (-.f32 c #s(literal -1 binary32)) (-.f32 (*.f32 (*.f32 (neg.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 (neg.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 c #s(literal -1 binary32)) (*.f32 (neg.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)))))))
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c
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(/.f32 (+.f32 (pow.f32 #s(literal 9465531/16777216 binary32) #s(literal 3 binary32)) (pow.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) #s(literal 3 binary32))) (fma.f32 #s(literal 9465531/16777216 binary32) #s(literal 9465531/16777216 binary32) (-.f32 (*.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) (*.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)) (*.f32 #s(literal 9465531/16777216 binary32) (*.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)))))
(/.f32 (-.f32 (pow.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) #s(literal 3 binary32)) (pow.f32 #s(literal -9465531/16777216 binary32) #s(literal 3 binary32))) (fma.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) (*.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) (fma.f32 #s(literal -9465531/16777216 binary32) #s(literal -9465531/16777216 binary32) (*.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) #s(literal -9465531/16777216 binary32)))))
(/.f32 (-.f32 (*.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) (*.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)) (*.f32 #s(literal 9465531/16777216 binary32) #s(literal 9465531/16777216 binary32))) (-.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) #s(literal 9465531/16777216 binary32)))
(/.f32 (+.f32 (pow.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) #s(literal 3 binary32)) (pow.f32 #s(literal 9465531/16777216 binary32) #s(literal 3 binary32))) (fma.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) (*.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) (-.f32 (*.f32 #s(literal 9465531/16777216 binary32) #s(literal 9465531/16777216 binary32)) (*.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) #s(literal 9465531/16777216 binary32)))))
(-.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) #s(literal -9465531/16777216 binary32))
(-.f32 #s(literal 9465531/16777216 binary32) (*.f32 (-.f32 #s(literal -7311685/16777216 binary32) (fma.f32 (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32)) cosTheta c)) cosTheta))
(-.f32 #s(literal 9465531/16777216 binary32) (*.f32 (neg.f32 cosTheta) (-.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) (neg.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)))
(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))
(fma.f32 cosTheta (-.f32 (fma.f32 (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32)) cosTheta c) #s(literal -7311685/16777216 binary32)) #s(literal 9465531/16777216 binary32))
(+.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) #s(literal 9465531/16777216 binary32))
(+.f32 #s(literal 9465531/16777216 binary32) (*.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))
(neg.f32 (*.f32 (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)) #s(literal -1 binary32)))
(neg.f32 (-.f32 #s(literal -9465531/16777216 binary32) (*.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)))
(*.f32 (pow.f32 cosTheta (/.f32 #s(literal -1 binary32) #s(literal 2 binary32))) (pow.f32 cosTheta (/.f32 #s(literal -1 binary32) #s(literal 2 binary32))))
(*.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 1 binary32))
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) cosTheta))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) cosTheta))
(/.f32 #s(literal -2 binary32) (*.f32 (neg.f32 cosTheta) #s(literal 2 binary32)))
(/.f32 #s(literal -2 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 cosTheta)))
(/.f32 #s(literal 2 binary32) (*.f32 (neg.f32 (neg.f32 cosTheta)) #s(literal 2 binary32)))
(/.f32 #s(literal 2 binary32) (*.f32 cosTheta #s(literal 2 binary32)))
(/.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (neg.f32 cosTheta))))
(/.f32 #s(literal 2 binary32) (+.f32 cosTheta cosTheta))
(/.f32 #s(literal -1 binary32) (neg.f32 (neg.f32 (neg.f32 cosTheta))))
(/.f32 #s(literal -1 binary32) (neg.f32 cosTheta))
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 cosTheta) #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 cosTheta)))
(/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 cosTheta #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) cosTheta)
(fma.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 1 binary32) (/.f32 #s(literal 0 binary32) (neg.f32 (neg.f32 cosTheta))))
(fma.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 1 binary32) (/.f32 #s(literal 0 binary32) cosTheta))
(fma.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) cosTheta) (/.f32 #s(literal 0 binary32) (neg.f32 (neg.f32 cosTheta))))
(fma.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) cosTheta) (/.f32 #s(literal 0 binary32) cosTheta))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) cosTheta) (/.f32 #s(literal 0 binary32) (neg.f32 (neg.f32 cosTheta))))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) cosTheta) (/.f32 #s(literal 0 binary32) cosTheta))
(pow.f32 (neg.f32 (neg.f32 cosTheta)) #s(literal -1 binary32))
(pow.f32 cosTheta #s(literal -1 binary32))
(+.f32 (/.f32 #s(literal 1 binary32) cosTheta) (/.f32 #s(literal 0 binary32) (neg.f32 (neg.f32 cosTheta))))
(+.f32 (/.f32 #s(literal 1 binary32) cosTheta) (/.f32 #s(literal 0 binary32) cosTheta))
(exp.f32 (*.f32 (log.f32 cosTheta) #s(literal -1 binary32)))
(neg.f32 (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) cosTheta)))
(neg.f32 (/.f32 #s(literal -1 binary32) cosTheta))

eval108.0ms (2.8%)

Memory
-5.4MiB live, 230.0MiB allocated; 27ms collecting garbage
Compiler

Compiled 43 782 to 4 978 computations (88.6% saved)

prune39.0ms (1.0%)

Memory
7.5MiB live, 100.0MiB allocated; 4ms collecting garbage
Pruning

37 alts after pruning (34 fresh and 3 done)

PrunedKeptTotal
New91218930
Fresh101626
Picked415
Done123
Total92737964
Accuracy
100.0%
Counts
964 → 37
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.8%
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)) #s(literal 9465531/16777216 binary32) (-.f32 c #s(literal -1 binary32))))
97.8%
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (*.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) #s(literal 9465531/16777216 binary32)) (-.f32 c #s(literal -1 binary32))))
95.0%
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) #s(approx (* (exp (* (neg cosTheta) cosTheta)) 9465531/16777216) #s(literal 9465531/16777216 binary32)) (-.f32 c #s(literal -1 binary32))))
97.9%
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) cosTheta) (*.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) #s(literal 9465531/16777216 binary32)) (-.f32 c #s(literal -1 binary32))))
97.9%
(/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) #s(literal 9465531/16777216 binary32)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (-.f32 c #s(literal -1 binary32))))
96.2%
(/.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))))
92.0%
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (sqrt (PI)))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32))))))
96.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (fma.f32 (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32)) cosTheta (-.f32 (-.f32 c #s(literal -7311685/16777216 binary32)) (/.f32 #s(literal -9465531/16777216 binary32) cosTheta)))))
96.7%
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 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)))
94.9%
(/.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 (* -28396593/33554432 cosTheta)) c)))) cosTheta)))
96.4%
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (*.f32 cosTheta #s(approx (+ 7311685/16777216 (+ c (* cosTheta (- (* 9465531/33554432 cosTheta) 28396593/33554432)))) (+.f32 #s(literal 7311685/16777216 binary32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal 9465531/33554432 binary32) cosTheta) #s(literal 28396593/33554432 binary32))))))) cosTheta)))
96.0%
(/.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 #s(approx (+ 7311685/16777216 (+ c (* -28396593/33554432 cosTheta))) (+.f32 #s(literal 7311685/16777216 binary32) (*.f32 #s(literal -28396593/33554432 binary32) cosTheta))))) cosTheta)))
91.9%
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(approx (+ 9465531/16777216 (* cosTheta (+ 7311685/16777216 (+ c (* -28396593/33554432 cosTheta))))) #s(literal 9465531/16777216 binary32)) cosTheta)))
96.1%
(/.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 #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 (fma.f32 (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32)) cosTheta c) (-.f32 #s(literal -7311685/16777216 binary32) (/.f32 #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 #s(literal -28396593/33554432 binary32) cosTheta c) (-.f32 #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 (+.f32 (/.f32 #s(literal 9465531/16777216 binary32) cosTheta) (fma.f32 (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32)) cosTheta c)) #s(literal -7311685/16777216 binary32))))
96.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (/.f32 (*.f32 #s(literal 7311685/16777216 binary32) cosTheta) cosTheta) (/.f32 (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))))
96.0%
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (-.f32 (fma.f32 #s(literal -28396593/33554432 binary32) cosTheta c) #s(literal -7311685/16777216 binary32)) (/.f32 #s(literal 1 binary32) (/.f32 cosTheta #s(literal 9465531/16777216 binary32))))))
96.4%
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (-.f32 #s(approx (+ (* (+ (* 9465531/33554432 cosTheta) -28396593/33554432) cosTheta) c) (*.f32 cosTheta (-.f32 (*.f32 #s(literal 9465531/33554432 binary32) cosTheta) #s(literal 28396593/33554432 binary32)))) #s(literal -7311685/16777216 binary32)) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta))))
94.9%
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (-.f32 #s(approx (+ (* -28396593/33554432 cosTheta) c) c) #s(literal -7311685/16777216 binary32)) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta))))
96.0%
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 #s(approx (- (+ (* -28396593/33554432 cosTheta) c) -7311685/16777216) (+.f32 #s(literal 7311685/16777216 binary32) (*.f32 #s(literal -28396593/33554432 binary32) cosTheta))) (/.f32 #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 (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fma.f32 #s(literal -28396593/33554432 binary32) cosTheta c) #s(literal -7311685/16777216 binary32)) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta))) (/.f32 #s(literal 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)))))))
96.3%
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) #s(approx (+ (- (+ (* (+ (* 9465531/33554432 cosTheta) -28396593/33554432) cosTheta) c) -7311685/16777216) (/ 9465531/16777216 cosTheta)) (+.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))))))))
95.9%
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) #s(approx (+ (- (+ (* -28396593/33554432 cosTheta) c) -7311685/16777216) (/ 9465531/16777216 cosTheta)) (+.f32 #s(literal 7311685/16777216 binary32) (fma.f32 #s(literal -28396593/33554432 binary32) cosTheta (*.f32 #s(literal 9465531/16777216 binary32) (/.f32 #s(literal 1 binary32) cosTheta)))))))
95.9%
(*.f32 (pow.f32 #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (-.f32 (/.f32 #s(literal 9465531/16777216 binary32) cosTheta) (-.f32 #s(literal -7311685/16777216 binary32) (fma.f32 #s(literal -28396593/33554432 binary32) cosTheta c)))) (/.f32 #s(literal -1 binary32) #s(literal 2 binary32))) (pow.f32 #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (-.f32 (/.f32 #s(literal 9465531/16777216 binary32) cosTheta) (-.f32 #s(literal -7311685/16777216 binary32) (fma.f32 #s(literal -28396593/33554432 binary32) cosTheta c)))) (/.f32 #s(literal -1 binary32) #s(literal 2 binary32))))
90.1%
(exp.f32 (*.f32 (log.f32 (fma.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)) #s(literal 9465531/16777216 binary32) (-.f32 c #s(literal -1 binary32)))) #s(literal -1 binary32)))
88.4%
(exp.f32 (*.f32 (log.f32 #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (-.f32 (/.f32 #s(literal 9465531/16777216 binary32) cosTheta) (-.f32 #s(literal -7311685/16777216 binary32) (fma.f32 #s(literal -28396593/33554432 binary32) cosTheta c))))) #s(literal -1 binary32)))
88.9%
(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)))
96.7%
#s(approx (/ 1 (+ (+ 1 c) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (sqrt (PI))))) (*.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))))))))))
92.5%
#s(approx (/ 1 (+ (+ 1 c) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (sqrt (PI))))) (*.f32 cosTheta #s(literal 14868421/8388608 binary32)))
95.4%
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (fma.f32 (*.f32 (-.f32 c #s(literal -7311685/16777216 binary32)) cosTheta) (*.f32 #s(literal -281474976710656/89596277111961 binary32) cosTheta) (*.f32 #s(literal 16777216/9465531 binary32) cosTheta)))
95.4%
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (*.f32 (-.f32 c #s(literal -7311685/16777216 binary32)) cosTheta) #s(literal -281474976710656/89596277111961 binary32)) cosTheta) (*.f32 #s(literal 16777216/9465531 binary32) cosTheta))) (*.f32 #s(literal 16777216/9465531 binary32) cosTheta)))
95.2%
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 cosTheta (+.f32 #s(literal 16777216/9465531 binary32) #s(approx (* -281474976710656/89596277111961 (* cosTheta (+ 7311685/16777216 c))) (*.f32 #s(literal -122669718568960/89596277111961 binary32) cosTheta)))))
94.6%
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 cosTheta #s(approx (+ 16777216/9465531 (* -281474976710656/89596277111961 (* cosTheta (+ 7311685/16777216 c)))) (*.f32 cosTheta (fma.f32 #s(literal -281474976710656/89596277111961 binary32) (+.f32 #s(literal 7311685/16777216 binary32) c) (*.f32 #s(literal 16777216/9465531 binary32) (/.f32 #s(literal 1 binary32) cosTheta)))))))
92.4%
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 #s(literal 16777216/9465531 binary32) cosTheta))
Compiler

Compiled 1 394 to 998 computations (28.4% saved)

regimes940.0ms (24.5%)

Memory
-4.2MiB live, 1 896.6MiB allocated; 133ms collecting garbage
Counts
1 → 1
7 → 1
11 → 1
15 → 1
17 → 1
23 → 1
25 → 1
26 → 1
31 → 1
34 → 1
42 → 1
56 → 1
58 → 1
61 → 1
67 → 1
77 → 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) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (sqrt (PI))))) (*.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))))
#s(approx (/ 1 (+ (+ 1 c) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (sqrt (PI))))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(approx (+ 9465531/16777216 (* cosTheta (+ 7311685/16777216 (+ c (* -28396593/33554432 cosTheta))))) #s(literal 9465531/16777216 binary32)) cosTheta)))
Outputs
#s(approx (/ 1 (+ (+ 1 c) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (sqrt (PI))))) (*.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) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (sqrt (PI))))) (*.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))))
#s(approx (/ 1 (+ (+ 1 c) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (sqrt (PI))))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(approx (+ 9465531/16777216 (* cosTheta (+ 7311685/16777216 (+ c (* -28396593/33554432 cosTheta))))) #s(literal 9465531/16777216 binary32)) cosTheta)))
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 cosTheta (+.f32 #s(literal 16777216/9465531 binary32) #s(approx (* -281474976710656/89596277111961 (* cosTheta (+ 7311685/16777216 c))) (*.f32 #s(literal -122669718568960/89596277111961 binary32) cosTheta)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (sqrt (PI)))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (-.f32 #s(approx (+ (* -28396593/33554432 cosTheta) c) c) #s(literal -7311685/16777216 binary32)) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta))))
Outputs
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 cosTheta (+.f32 #s(literal 16777216/9465531 binary32) #s(approx (* -281474976710656/89596277111961 (* cosTheta (+ 7311685/16777216 c))) (*.f32 #s(literal -122669718568960/89596277111961 binary32) cosTheta)))))
Call 4
Inputs
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 #s(literal 16777216/9465531 binary32) cosTheta))
#s(approx (/ 1 (+ (+ 1 c) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (sqrt (PI))))) (*.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))))
#s(approx (/ 1 (+ (+ 1 c) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (sqrt (PI))))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(approx (+ 9465531/16777216 (* cosTheta (+ 7311685/16777216 (+ c (* -28396593/33554432 cosTheta))))) #s(literal 9465531/16777216 binary32)) cosTheta)))
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 cosTheta (+.f32 #s(literal 16777216/9465531 binary32) #s(approx (* -281474976710656/89596277111961 (* cosTheta (+ 7311685/16777216 c))) (*.f32 #s(literal -122669718568960/89596277111961 binary32) cosTheta)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (sqrt (PI)))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (-.f32 #s(approx (+ (* -28396593/33554432 cosTheta) c) c) #s(literal -7311685/16777216 binary32)) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta))))
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (fma.f32 (*.f32 (-.f32 c #s(literal -7311685/16777216 binary32)) cosTheta) #s(literal -281474976710656/89596277111961 binary32) #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))))))
(/.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 (* -28396593/33554432 cosTheta)) c)))) cosTheta)))
Outputs
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (fma.f32 (*.f32 (-.f32 c #s(literal -7311685/16777216 binary32)) cosTheta) #s(literal -281474976710656/89596277111961 binary32) #s(literal 16777216/9465531 binary32)) cosTheta))
Call 5
Inputs
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 #s(literal 16777216/9465531 binary32) cosTheta))
#s(approx (/ 1 (+ (+ 1 c) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (sqrt (PI))))) (*.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))))
#s(approx (/ 1 (+ (+ 1 c) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (sqrt (PI))))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(approx (+ 9465531/16777216 (* cosTheta (+ 7311685/16777216 (+ c (* -28396593/33554432 cosTheta))))) #s(literal 9465531/16777216 binary32)) cosTheta)))
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 cosTheta (+.f32 #s(literal 16777216/9465531 binary32) #s(approx (* -281474976710656/89596277111961 (* cosTheta (+ 7311685/16777216 c))) (*.f32 #s(literal -122669718568960/89596277111961 binary32) cosTheta)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (sqrt (PI)))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (-.f32 #s(approx (+ (* -28396593/33554432 cosTheta) c) c) #s(literal -7311685/16777216 binary32)) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta))))
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (fma.f32 (*.f32 (-.f32 c #s(literal -7311685/16777216 binary32)) cosTheta) #s(literal -281474976710656/89596277111961 binary32) #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))))))
(/.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 (* -28396593/33554432 cosTheta)) c)))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 #s(approx (- (+ (* -28396593/33554432 cosTheta) c) -7311685/16777216) (+.f32 #s(literal 7311685/16777216 binary32) (*.f32 #s(literal -28396593/33554432 binary32) cosTheta))) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta))))
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (fma.f32 (*.f32 (-.f32 c #s(literal -7311685/16777216 binary32)) cosTheta) (*.f32 #s(literal -281474976710656/89596277111961 binary32) cosTheta) (*.f32 #s(literal 16777216/9465531 binary32) cosTheta)))
Outputs
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 #s(approx (- (+ (* -28396593/33554432 cosTheta) c) -7311685/16777216) (+.f32 #s(literal 7311685/16777216 binary32) (*.f32 #s(literal -28396593/33554432 binary32) cosTheta))) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta))))
Call 6
Inputs
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 #s(literal 16777216/9465531 binary32) cosTheta))
#s(approx (/ 1 (+ (+ 1 c) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (sqrt (PI))))) (*.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))))
#s(approx (/ 1 (+ (+ 1 c) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (sqrt (PI))))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(approx (+ 9465531/16777216 (* cosTheta (+ 7311685/16777216 (+ c (* -28396593/33554432 cosTheta))))) #s(literal 9465531/16777216 binary32)) cosTheta)))
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 cosTheta (+.f32 #s(literal 16777216/9465531 binary32) #s(approx (* -281474976710656/89596277111961 (* cosTheta (+ 7311685/16777216 c))) (*.f32 #s(literal -122669718568960/89596277111961 binary32) cosTheta)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (sqrt (PI)))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (-.f32 #s(approx (+ (* -28396593/33554432 cosTheta) c) c) #s(literal -7311685/16777216 binary32)) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta))))
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (fma.f32 (*.f32 (-.f32 c #s(literal -7311685/16777216 binary32)) cosTheta) #s(literal -281474976710656/89596277111961 binary32) #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))))))
(/.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 (* -28396593/33554432 cosTheta)) c)))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 #s(approx (- (+ (* -28396593/33554432 cosTheta) c) -7311685/16777216) (+.f32 #s(literal 7311685/16777216 binary32) (*.f32 #s(literal -28396593/33554432 binary32) cosTheta))) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta))))
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (fma.f32 (*.f32 (-.f32 c #s(literal -7311685/16777216 binary32)) cosTheta) (*.f32 #s(literal -281474976710656/89596277111961 binary32) cosTheta) (*.f32 #s(literal 16777216/9465531 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 -28396593/33554432 binary32) cosTheta c) (-.f32 #s(literal -7311685/16777216 binary32) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (-.f32 (fma.f32 #s(literal -28396593/33554432 binary32) cosTheta c) #s(literal -7311685/16777216 binary32)) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta))))
(/.f32 #s(literal 1 binary32) #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) #s(literal 9465531/16777216 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)))) #s(approx (+ (- (+ (* -28396593/33554432 cosTheta) c) -7311685/16777216) (/ 9465531/16777216 cosTheta)) (+.f32 #s(literal 7311685/16777216 binary32) (fma.f32 #s(literal -28396593/33554432 binary32) cosTheta (*.f32 #s(literal 9465531/16777216 binary32) (/.f32 #s(literal 1 binary32) cosTheta)))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (*.f32 #s(literal -9465531/16777216 binary32) cosTheta)) cosTheta))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (*.f32 cosTheta #s(approx (+ 7311685/16777216 (+ c (* -28396593/33554432 cosTheta))) (+.f32 #s(literal 7311685/16777216 binary32) (*.f32 #s(literal -28396593/33554432 binary32) cosTheta))))) cosTheta)))
Outputs
(/.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 -28396593/33554432 binary32) cosTheta c) (-.f32 #s(literal -7311685/16777216 binary32) (/.f32 #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) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (sqrt (PI))))) (*.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))))
#s(approx (/ 1 (+ (+ 1 c) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (sqrt (PI))))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(approx (+ 9465531/16777216 (* cosTheta (+ 7311685/16777216 (+ c (* -28396593/33554432 cosTheta))))) #s(literal 9465531/16777216 binary32)) cosTheta)))
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 cosTheta (+.f32 #s(literal 16777216/9465531 binary32) #s(approx (* -281474976710656/89596277111961 (* cosTheta (+ 7311685/16777216 c))) (*.f32 #s(literal -122669718568960/89596277111961 binary32) cosTheta)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (sqrt (PI)))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (-.f32 #s(approx (+ (* -28396593/33554432 cosTheta) c) c) #s(literal -7311685/16777216 binary32)) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta))))
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (fma.f32 (*.f32 (-.f32 c #s(literal -7311685/16777216 binary32)) cosTheta) #s(literal -281474976710656/89596277111961 binary32) #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))))))
(/.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 (* -28396593/33554432 cosTheta)) c)))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 #s(approx (- (+ (* -28396593/33554432 cosTheta) c) -7311685/16777216) (+.f32 #s(literal 7311685/16777216 binary32) (*.f32 #s(literal -28396593/33554432 binary32) cosTheta))) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta))))
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (fma.f32 (*.f32 (-.f32 c #s(literal -7311685/16777216 binary32)) cosTheta) (*.f32 #s(literal -281474976710656/89596277111961 binary32) cosTheta) (*.f32 #s(literal 16777216/9465531 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 -28396593/33554432 binary32) cosTheta c) (-.f32 #s(literal -7311685/16777216 binary32) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (-.f32 (fma.f32 #s(literal -28396593/33554432 binary32) cosTheta c) #s(literal -7311685/16777216 binary32)) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta))))
(/.f32 #s(literal 1 binary32) #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) #s(literal 9465531/16777216 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)))) #s(approx (+ (- (+ (* -28396593/33554432 cosTheta) c) -7311685/16777216) (/ 9465531/16777216 cosTheta)) (+.f32 #s(literal 7311685/16777216 binary32) (fma.f32 #s(literal -28396593/33554432 binary32) cosTheta (*.f32 #s(literal 9465531/16777216 binary32) (/.f32 #s(literal 1 binary32) cosTheta)))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (*.f32 #s(literal -9465531/16777216 binary32) cosTheta)) cosTheta))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (*.f32 cosTheta #s(approx (+ 7311685/16777216 (+ c (* -28396593/33554432 cosTheta))) (+.f32 #s(literal 7311685/16777216 binary32) (*.f32 #s(literal -28396593/33554432 binary32) cosTheta))))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 (-.f32 (fma.f32 #s(literal -28396593/33554432 binary32) cosTheta c) #s(literal -7311685/16777216 binary32)) cosTheta #s(literal 9465531/16777216 binary32)) cosTheta)))
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 cosTheta #s(approx (+ 16777216/9465531 (* -281474976710656/89596277111961 (* cosTheta (+ 7311685/16777216 c)))) (*.f32 cosTheta (fma.f32 #s(literal -281474976710656/89596277111961 binary32) (+.f32 #s(literal 7311685/16777216 binary32) c) (*.f32 #s(literal 16777216/9465531 binary32) (/.f32 #s(literal 1 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(literal -28396593/33554432 binary32) cosTheta c) #s(literal -7311685/16777216 binary32)) cosTheta #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) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (sqrt (PI))))) (*.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))))
#s(approx (/ 1 (+ (+ 1 c) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (sqrt (PI))))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(approx (+ 9465531/16777216 (* cosTheta (+ 7311685/16777216 (+ c (* -28396593/33554432 cosTheta))))) #s(literal 9465531/16777216 binary32)) cosTheta)))
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 cosTheta (+.f32 #s(literal 16777216/9465531 binary32) #s(approx (* -281474976710656/89596277111961 (* cosTheta (+ 7311685/16777216 c))) (*.f32 #s(literal -122669718568960/89596277111961 binary32) cosTheta)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (sqrt (PI)))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (-.f32 #s(approx (+ (* -28396593/33554432 cosTheta) c) c) #s(literal -7311685/16777216 binary32)) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta))))
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (fma.f32 (*.f32 (-.f32 c #s(literal -7311685/16777216 binary32)) cosTheta) #s(literal -281474976710656/89596277111961 binary32) #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))))))
(/.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 (* -28396593/33554432 cosTheta)) c)))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 #s(approx (- (+ (* -28396593/33554432 cosTheta) c) -7311685/16777216) (+.f32 #s(literal 7311685/16777216 binary32) (*.f32 #s(literal -28396593/33554432 binary32) cosTheta))) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta))))
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (fma.f32 (*.f32 (-.f32 c #s(literal -7311685/16777216 binary32)) cosTheta) (*.f32 #s(literal -281474976710656/89596277111961 binary32) cosTheta) (*.f32 #s(literal 16777216/9465531 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 -28396593/33554432 binary32) cosTheta c) (-.f32 #s(literal -7311685/16777216 binary32) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (-.f32 (fma.f32 #s(literal -28396593/33554432 binary32) cosTheta c) #s(literal -7311685/16777216 binary32)) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta))))
(/.f32 #s(literal 1 binary32) #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) #s(literal 9465531/16777216 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)))) #s(approx (+ (- (+ (* -28396593/33554432 cosTheta) c) -7311685/16777216) (/ 9465531/16777216 cosTheta)) (+.f32 #s(literal 7311685/16777216 binary32) (fma.f32 #s(literal -28396593/33554432 binary32) cosTheta (*.f32 #s(literal 9465531/16777216 binary32) (/.f32 #s(literal 1 binary32) cosTheta)))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (*.f32 #s(literal -9465531/16777216 binary32) cosTheta)) cosTheta))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (*.f32 cosTheta #s(approx (+ 7311685/16777216 (+ c (* -28396593/33554432 cosTheta))) (+.f32 #s(literal 7311685/16777216 binary32) (*.f32 #s(literal -28396593/33554432 binary32) cosTheta))))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 (-.f32 (fma.f32 #s(literal -28396593/33554432 binary32) cosTheta c) #s(literal -7311685/16777216 binary32)) cosTheta #s(literal 9465531/16777216 binary32)) cosTheta)))
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 cosTheta #s(approx (+ 16777216/9465531 (* -281474976710656/89596277111961 (* cosTheta (+ 7311685/16777216 c)))) (*.f32 cosTheta (fma.f32 #s(literal -281474976710656/89596277111961 binary32) (+.f32 #s(literal 7311685/16777216 binary32) c) (*.f32 #s(literal 16777216/9465531 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 (+.f32 #s(literal 9465531/16777216 binary32) (*.f32 cosTheta (fma.f32 cosTheta #s(literal -28396593/33554432 binary32) (-.f32 c #s(literal -7311685/16777216 binary32))))) cosTheta)))
Outputs
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (*.f32 cosTheta (fma.f32 cosTheta #s(literal -28396593/33554432 binary32) (-.f32 c #s(literal -7311685/16777216 binary32))))) cosTheta)))
Call 9
Inputs
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 #s(literal 16777216/9465531 binary32) cosTheta))
#s(approx (/ 1 (+ (+ 1 c) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (sqrt (PI))))) (*.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))))
#s(approx (/ 1 (+ (+ 1 c) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (sqrt (PI))))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(approx (+ 9465531/16777216 (* cosTheta (+ 7311685/16777216 (+ c (* -28396593/33554432 cosTheta))))) #s(literal 9465531/16777216 binary32)) cosTheta)))
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 cosTheta (+.f32 #s(literal 16777216/9465531 binary32) #s(approx (* -281474976710656/89596277111961 (* cosTheta (+ 7311685/16777216 c))) (*.f32 #s(literal -122669718568960/89596277111961 binary32) cosTheta)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (sqrt (PI)))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (-.f32 #s(approx (+ (* -28396593/33554432 cosTheta) c) c) #s(literal -7311685/16777216 binary32)) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta))))
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (fma.f32 (*.f32 (-.f32 c #s(literal -7311685/16777216 binary32)) cosTheta) #s(literal -281474976710656/89596277111961 binary32) #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))))))
(/.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 (* -28396593/33554432 cosTheta)) c)))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 #s(approx (- (+ (* -28396593/33554432 cosTheta) c) -7311685/16777216) (+.f32 #s(literal 7311685/16777216 binary32) (*.f32 #s(literal -28396593/33554432 binary32) cosTheta))) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta))))
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (fma.f32 (*.f32 (-.f32 c #s(literal -7311685/16777216 binary32)) cosTheta) (*.f32 #s(literal -281474976710656/89596277111961 binary32) cosTheta) (*.f32 #s(literal 16777216/9465531 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 -28396593/33554432 binary32) cosTheta c) (-.f32 #s(literal -7311685/16777216 binary32) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (-.f32 (fma.f32 #s(literal -28396593/33554432 binary32) cosTheta c) #s(literal -7311685/16777216 binary32)) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta))))
(/.f32 #s(literal 1 binary32) #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) #s(literal 9465531/16777216 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)))) #s(approx (+ (- (+ (* -28396593/33554432 cosTheta) c) -7311685/16777216) (/ 9465531/16777216 cosTheta)) (+.f32 #s(literal 7311685/16777216 binary32) (fma.f32 #s(literal -28396593/33554432 binary32) cosTheta (*.f32 #s(literal 9465531/16777216 binary32) (/.f32 #s(literal 1 binary32) cosTheta)))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (*.f32 #s(literal -9465531/16777216 binary32) cosTheta)) cosTheta))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (*.f32 cosTheta #s(approx (+ 7311685/16777216 (+ c (* -28396593/33554432 cosTheta))) (+.f32 #s(literal 7311685/16777216 binary32) (*.f32 #s(literal -28396593/33554432 binary32) cosTheta))))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 (-.f32 (fma.f32 #s(literal -28396593/33554432 binary32) cosTheta c) #s(literal -7311685/16777216 binary32)) cosTheta #s(literal 9465531/16777216 binary32)) cosTheta)))
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 cosTheta #s(approx (+ 16777216/9465531 (* -281474976710656/89596277111961 (* cosTheta (+ 7311685/16777216 c)))) (*.f32 cosTheta (fma.f32 #s(literal -281474976710656/89596277111961 binary32) (+.f32 #s(literal 7311685/16777216 binary32) c) (*.f32 #s(literal 16777216/9465531 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 (+.f32 #s(literal 9465531/16777216 binary32) (*.f32 cosTheta (fma.f32 cosTheta #s(literal -28396593/33554432 binary32) (-.f32 c #s(literal -7311685/16777216 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(approx (+ (* (+ (* 9465531/33554432 cosTheta) -28396593/33554432) cosTheta) c) (*.f32 cosTheta (-.f32 (*.f32 #s(literal 9465531/33554432 binary32) cosTheta) #s(literal 28396593/33554432 binary32)))) #s(literal -7311685/16777216 binary32)) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (*.f32 cosTheta (+.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)))) #s(approx (/ (+ 9465531/16777216 (* cosTheta (+ 7311685/16777216 (+ c (* -28396593/33554432 cosTheta))))) cosTheta) (+.f32 c (+.f32 (+.f32 #s(literal 7311685/16777216 binary32) (*.f32 #s(literal -28396593/33554432 binary32) cosTheta)) (*.f32 #s(literal 9465531/16777216 binary32) (/.f32 #s(literal 1 binary32) cosTheta)))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (-.f32 (fma.f32 #s(literal -28396593/33554432 binary32) cosTheta c) #s(literal -7311685/16777216 binary32)) (/.f32 #s(literal 1 binary32) (/.f32 cosTheta #s(literal 9465531/16777216 binary32))))))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) #s(approx (* (exp (* (neg cosTheta) cosTheta)) 9465531/16777216) #s(literal 9465531/16777216 binary32)) (-.f32 c #s(literal -1 binary32))))
Outputs
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (-.f32 #s(approx (+ (* (+ (* 9465531/33554432 cosTheta) -28396593/33554432) cosTheta) c) (*.f32 cosTheta (-.f32 (*.f32 #s(literal 9465531/33554432 binary32) cosTheta) #s(literal 28396593/33554432 binary32)))) #s(literal -7311685/16777216 binary32)) (/.f32 #s(literal 9465531/16777216 binary32) 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) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (sqrt (PI))))) (*.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))))
#s(approx (/ 1 (+ (+ 1 c) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (sqrt (PI))))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(approx (+ 9465531/16777216 (* cosTheta (+ 7311685/16777216 (+ c (* -28396593/33554432 cosTheta))))) #s(literal 9465531/16777216 binary32)) cosTheta)))
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 cosTheta (+.f32 #s(literal 16777216/9465531 binary32) #s(approx (* -281474976710656/89596277111961 (* cosTheta (+ 7311685/16777216 c))) (*.f32 #s(literal -122669718568960/89596277111961 binary32) cosTheta)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (sqrt (PI)))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (-.f32 #s(approx (+ (* -28396593/33554432 cosTheta) c) c) #s(literal -7311685/16777216 binary32)) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta))))
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (fma.f32 (*.f32 (-.f32 c #s(literal -7311685/16777216 binary32)) cosTheta) #s(literal -281474976710656/89596277111961 binary32) #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))))))
(/.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 (* -28396593/33554432 cosTheta)) c)))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 #s(approx (- (+ (* -28396593/33554432 cosTheta) c) -7311685/16777216) (+.f32 #s(literal 7311685/16777216 binary32) (*.f32 #s(literal -28396593/33554432 binary32) cosTheta))) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta))))
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (fma.f32 (*.f32 (-.f32 c #s(literal -7311685/16777216 binary32)) cosTheta) (*.f32 #s(literal -281474976710656/89596277111961 binary32) cosTheta) (*.f32 #s(literal 16777216/9465531 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 -28396593/33554432 binary32) cosTheta c) (-.f32 #s(literal -7311685/16777216 binary32) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (-.f32 (fma.f32 #s(literal -28396593/33554432 binary32) cosTheta c) #s(literal -7311685/16777216 binary32)) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta))))
(/.f32 #s(literal 1 binary32) #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) #s(literal 9465531/16777216 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)))) #s(approx (+ (- (+ (* -28396593/33554432 cosTheta) c) -7311685/16777216) (/ 9465531/16777216 cosTheta)) (+.f32 #s(literal 7311685/16777216 binary32) (fma.f32 #s(literal -28396593/33554432 binary32) cosTheta (*.f32 #s(literal 9465531/16777216 binary32) (/.f32 #s(literal 1 binary32) cosTheta)))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (*.f32 #s(literal -9465531/16777216 binary32) cosTheta)) cosTheta))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (*.f32 cosTheta #s(approx (+ 7311685/16777216 (+ c (* -28396593/33554432 cosTheta))) (+.f32 #s(literal 7311685/16777216 binary32) (*.f32 #s(literal -28396593/33554432 binary32) cosTheta))))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 (-.f32 (fma.f32 #s(literal -28396593/33554432 binary32) cosTheta c) #s(literal -7311685/16777216 binary32)) cosTheta #s(literal 9465531/16777216 binary32)) cosTheta)))
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 cosTheta #s(approx (+ 16777216/9465531 (* -281474976710656/89596277111961 (* cosTheta (+ 7311685/16777216 c)))) (*.f32 cosTheta (fma.f32 #s(literal -281474976710656/89596277111961 binary32) (+.f32 #s(literal 7311685/16777216 binary32) c) (*.f32 #s(literal 16777216/9465531 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 (+.f32 #s(literal 9465531/16777216 binary32) (*.f32 cosTheta (fma.f32 cosTheta #s(literal -28396593/33554432 binary32) (-.f32 c #s(literal -7311685/16777216 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(approx (+ (* (+ (* 9465531/33554432 cosTheta) -28396593/33554432) cosTheta) c) (*.f32 cosTheta (-.f32 (*.f32 #s(literal 9465531/33554432 binary32) cosTheta) #s(literal 28396593/33554432 binary32)))) #s(literal -7311685/16777216 binary32)) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (*.f32 cosTheta (+.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)))) #s(approx (/ (+ 9465531/16777216 (* cosTheta (+ 7311685/16777216 (+ c (* -28396593/33554432 cosTheta))))) cosTheta) (+.f32 c (+.f32 (+.f32 #s(literal 7311685/16777216 binary32) (*.f32 #s(literal -28396593/33554432 binary32) cosTheta)) (*.f32 #s(literal 9465531/16777216 binary32) (/.f32 #s(literal 1 binary32) cosTheta)))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (-.f32 (fma.f32 #s(literal -28396593/33554432 binary32) cosTheta c) #s(literal -7311685/16777216 binary32)) (/.f32 #s(literal 1 binary32) (/.f32 cosTheta #s(literal 9465531/16777216 binary32))))))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) #s(approx (* (exp (* (neg cosTheta) cosTheta)) 9465531/16777216) #s(literal 9465531/16777216 binary32)) (-.f32 c #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (-.f32 (fma.f32 (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32)) cosTheta c) (-.f32 #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)))) (fma.f32 (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32)) cosTheta (-.f32 (-.f32 c #s(literal -7311685/16777216 binary32)) (/.f32 #s(literal -9465531/16777216 binary32) cosTheta)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (-.f32 (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))))
Outputs
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (-.f32 (fma.f32 (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32)) cosTheta c) (-.f32 #s(literal -7311685/16777216 binary32) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta)))))
Call 11
Inputs
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 #s(literal 16777216/9465531 binary32) cosTheta))
#s(approx (/ 1 (+ (+ 1 c) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (sqrt (PI))))) (*.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))))
#s(approx (/ 1 (+ (+ 1 c) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (sqrt (PI))))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(approx (+ 9465531/16777216 (* cosTheta (+ 7311685/16777216 (+ c (* -28396593/33554432 cosTheta))))) #s(literal 9465531/16777216 binary32)) cosTheta)))
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 cosTheta (+.f32 #s(literal 16777216/9465531 binary32) #s(approx (* -281474976710656/89596277111961 (* cosTheta (+ 7311685/16777216 c))) (*.f32 #s(literal -122669718568960/89596277111961 binary32) cosTheta)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (sqrt (PI)))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (-.f32 #s(approx (+ (* -28396593/33554432 cosTheta) c) c) #s(literal -7311685/16777216 binary32)) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta))))
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (fma.f32 (*.f32 (-.f32 c #s(literal -7311685/16777216 binary32)) cosTheta) #s(literal -281474976710656/89596277111961 binary32) #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))))))
(/.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 (* -28396593/33554432 cosTheta)) c)))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 #s(approx (- (+ (* -28396593/33554432 cosTheta) c) -7311685/16777216) (+.f32 #s(literal 7311685/16777216 binary32) (*.f32 #s(literal -28396593/33554432 binary32) cosTheta))) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta))))
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (fma.f32 (*.f32 (-.f32 c #s(literal -7311685/16777216 binary32)) cosTheta) (*.f32 #s(literal -281474976710656/89596277111961 binary32) cosTheta) (*.f32 #s(literal 16777216/9465531 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 -28396593/33554432 binary32) cosTheta c) (-.f32 #s(literal -7311685/16777216 binary32) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (-.f32 (fma.f32 #s(literal -28396593/33554432 binary32) cosTheta c) #s(literal -7311685/16777216 binary32)) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta))))
(/.f32 #s(literal 1 binary32) #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) #s(literal 9465531/16777216 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)))) #s(approx (+ (- (+ (* -28396593/33554432 cosTheta) c) -7311685/16777216) (/ 9465531/16777216 cosTheta)) (+.f32 #s(literal 7311685/16777216 binary32) (fma.f32 #s(literal -28396593/33554432 binary32) cosTheta (*.f32 #s(literal 9465531/16777216 binary32) (/.f32 #s(literal 1 binary32) cosTheta)))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (*.f32 #s(literal -9465531/16777216 binary32) cosTheta)) cosTheta))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (*.f32 cosTheta #s(approx (+ 7311685/16777216 (+ c (* -28396593/33554432 cosTheta))) (+.f32 #s(literal 7311685/16777216 binary32) (*.f32 #s(literal -28396593/33554432 binary32) cosTheta))))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 (-.f32 (fma.f32 #s(literal -28396593/33554432 binary32) cosTheta c) #s(literal -7311685/16777216 binary32)) cosTheta #s(literal 9465531/16777216 binary32)) cosTheta)))
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 cosTheta #s(approx (+ 16777216/9465531 (* -281474976710656/89596277111961 (* cosTheta (+ 7311685/16777216 c)))) (*.f32 cosTheta (fma.f32 #s(literal -281474976710656/89596277111961 binary32) (+.f32 #s(literal 7311685/16777216 binary32) c) (*.f32 #s(literal 16777216/9465531 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 (+.f32 #s(literal 9465531/16777216 binary32) (*.f32 cosTheta (fma.f32 cosTheta #s(literal -28396593/33554432 binary32) (-.f32 c #s(literal -7311685/16777216 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(approx (+ (* (+ (* 9465531/33554432 cosTheta) -28396593/33554432) cosTheta) c) (*.f32 cosTheta (-.f32 (*.f32 #s(literal 9465531/33554432 binary32) cosTheta) #s(literal 28396593/33554432 binary32)))) #s(literal -7311685/16777216 binary32)) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (*.f32 cosTheta (+.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)))) #s(approx (/ (+ 9465531/16777216 (* cosTheta (+ 7311685/16777216 (+ c (* -28396593/33554432 cosTheta))))) cosTheta) (+.f32 c (+.f32 (+.f32 #s(literal 7311685/16777216 binary32) (*.f32 #s(literal -28396593/33554432 binary32) cosTheta)) (*.f32 #s(literal 9465531/16777216 binary32) (/.f32 #s(literal 1 binary32) cosTheta)))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (-.f32 (fma.f32 #s(literal -28396593/33554432 binary32) cosTheta c) #s(literal -7311685/16777216 binary32)) (/.f32 #s(literal 1 binary32) (/.f32 cosTheta #s(literal 9465531/16777216 binary32))))))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) #s(approx (* (exp (* (neg cosTheta) cosTheta)) 9465531/16777216) #s(literal 9465531/16777216 binary32)) (-.f32 c #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (-.f32 (fma.f32 (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32)) cosTheta c) (-.f32 #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)))) (fma.f32 (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32)) cosTheta (-.f32 (-.f32 c #s(literal -7311685/16777216 binary32)) (/.f32 #s(literal -9465531/16777216 binary32) cosTheta)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (-.f32 (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 (+.f32 (/.f32 #s(literal 9465531/16777216 binary32) cosTheta) (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 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) #s(approx (+ (- (+ (* (+ (* 9465531/33554432 cosTheta) -28396593/33554432) cosTheta) c) -7311685/16777216) (/ 9465531/16777216 cosTheta)) (+.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))))))))
(/.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 1 binary32) (/.f32 cosTheta (fma.f32 (-.f32 (fma.f32 #s(literal -28396593/33554432 binary32) cosTheta c) #s(literal -7311685/16777216 binary32)) cosTheta #s(literal 9465531/16777216 binary32))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) cosTheta)) cosTheta)) (sqrt.f32 (PI.f32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (*.f32 cosTheta #s(approx (+ 7311685/16777216 (+ c (* cosTheta (- (* 9465531/33554432 cosTheta) 28396593/33554432)))) (+.f32 #s(literal 7311685/16777216 binary32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal 9465531/33554432 binary32) cosTheta) #s(literal 28396593/33554432 binary32))))))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 cosTheta (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) #s(literal 14868421/8388608 binary32))) (/.f32 #s(literal 1 binary32) #s(literal 14868421/8388608 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)))))))
Outputs
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (-.f32 (+.f32 (/.f32 #s(literal 9465531/16777216 binary32) cosTheta) (fma.f32 (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32)) cosTheta c)) #s(literal -7311685/16777216 binary32))))
Call 12
Inputs
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 #s(literal 16777216/9465531 binary32) cosTheta))
#s(approx (/ 1 (+ (+ 1 c) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (sqrt (PI))))) (*.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))))
#s(approx (/ 1 (+ (+ 1 c) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (sqrt (PI))))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(approx (+ 9465531/16777216 (* cosTheta (+ 7311685/16777216 (+ c (* -28396593/33554432 cosTheta))))) #s(literal 9465531/16777216 binary32)) cosTheta)))
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 cosTheta (+.f32 #s(literal 16777216/9465531 binary32) #s(approx (* -281474976710656/89596277111961 (* cosTheta (+ 7311685/16777216 c))) (*.f32 #s(literal -122669718568960/89596277111961 binary32) cosTheta)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (sqrt (PI)))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (-.f32 #s(approx (+ (* -28396593/33554432 cosTheta) c) c) #s(literal -7311685/16777216 binary32)) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta))))
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (fma.f32 (*.f32 (-.f32 c #s(literal -7311685/16777216 binary32)) cosTheta) #s(literal -281474976710656/89596277111961 binary32) #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))))))
(/.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 (* -28396593/33554432 cosTheta)) c)))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 #s(approx (- (+ (* -28396593/33554432 cosTheta) c) -7311685/16777216) (+.f32 #s(literal 7311685/16777216 binary32) (*.f32 #s(literal -28396593/33554432 binary32) cosTheta))) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta))))
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (fma.f32 (*.f32 (-.f32 c #s(literal -7311685/16777216 binary32)) cosTheta) (*.f32 #s(literal -281474976710656/89596277111961 binary32) cosTheta) (*.f32 #s(literal 16777216/9465531 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 -28396593/33554432 binary32) cosTheta c) (-.f32 #s(literal -7311685/16777216 binary32) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (-.f32 (fma.f32 #s(literal -28396593/33554432 binary32) cosTheta c) #s(literal -7311685/16777216 binary32)) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta))))
(/.f32 #s(literal 1 binary32) #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) #s(literal 9465531/16777216 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)))) #s(approx (+ (- (+ (* -28396593/33554432 cosTheta) c) -7311685/16777216) (/ 9465531/16777216 cosTheta)) (+.f32 #s(literal 7311685/16777216 binary32) (fma.f32 #s(literal -28396593/33554432 binary32) cosTheta (*.f32 #s(literal 9465531/16777216 binary32) (/.f32 #s(literal 1 binary32) cosTheta)))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (*.f32 #s(literal -9465531/16777216 binary32) cosTheta)) cosTheta))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (*.f32 cosTheta #s(approx (+ 7311685/16777216 (+ c (* -28396593/33554432 cosTheta))) (+.f32 #s(literal 7311685/16777216 binary32) (*.f32 #s(literal -28396593/33554432 binary32) cosTheta))))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 (-.f32 (fma.f32 #s(literal -28396593/33554432 binary32) cosTheta c) #s(literal -7311685/16777216 binary32)) cosTheta #s(literal 9465531/16777216 binary32)) cosTheta)))
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 cosTheta #s(approx (+ 16777216/9465531 (* -281474976710656/89596277111961 (* cosTheta (+ 7311685/16777216 c)))) (*.f32 cosTheta (fma.f32 #s(literal -281474976710656/89596277111961 binary32) (+.f32 #s(literal 7311685/16777216 binary32) c) (*.f32 #s(literal 16777216/9465531 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 (+.f32 #s(literal 9465531/16777216 binary32) (*.f32 cosTheta (fma.f32 cosTheta #s(literal -28396593/33554432 binary32) (-.f32 c #s(literal -7311685/16777216 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(approx (+ (* (+ (* 9465531/33554432 cosTheta) -28396593/33554432) cosTheta) c) (*.f32 cosTheta (-.f32 (*.f32 #s(literal 9465531/33554432 binary32) cosTheta) #s(literal 28396593/33554432 binary32)))) #s(literal -7311685/16777216 binary32)) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (*.f32 cosTheta (+.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)))) #s(approx (/ (+ 9465531/16777216 (* cosTheta (+ 7311685/16777216 (+ c (* -28396593/33554432 cosTheta))))) cosTheta) (+.f32 c (+.f32 (+.f32 #s(literal 7311685/16777216 binary32) (*.f32 #s(literal -28396593/33554432 binary32) cosTheta)) (*.f32 #s(literal 9465531/16777216 binary32) (/.f32 #s(literal 1 binary32) cosTheta)))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (-.f32 (fma.f32 #s(literal -28396593/33554432 binary32) cosTheta c) #s(literal -7311685/16777216 binary32)) (/.f32 #s(literal 1 binary32) (/.f32 cosTheta #s(literal 9465531/16777216 binary32))))))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) #s(approx (* (exp (* (neg cosTheta) cosTheta)) 9465531/16777216) #s(literal 9465531/16777216 binary32)) (-.f32 c #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (-.f32 (fma.f32 (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32)) cosTheta c) (-.f32 #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)))) (fma.f32 (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32)) cosTheta (-.f32 (-.f32 c #s(literal -7311685/16777216 binary32)) (/.f32 #s(literal -9465531/16777216 binary32) cosTheta)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (-.f32 (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 (+.f32 (/.f32 #s(literal 9465531/16777216 binary32) cosTheta) (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 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) #s(approx (+ (- (+ (* (+ (* 9465531/33554432 cosTheta) -28396593/33554432) cosTheta) c) -7311685/16777216) (/ 9465531/16777216 cosTheta)) (+.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))))))))
(/.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 1 binary32) (/.f32 cosTheta (fma.f32 (-.f32 (fma.f32 #s(literal -28396593/33554432 binary32) cosTheta c) #s(literal -7311685/16777216 binary32)) cosTheta #s(literal 9465531/16777216 binary32))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) cosTheta)) cosTheta)) (sqrt.f32 (PI.f32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (*.f32 cosTheta #s(approx (+ 7311685/16777216 (+ c (* cosTheta (- (* 9465531/33554432 cosTheta) 28396593/33554432)))) (+.f32 #s(literal 7311685/16777216 binary32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal 9465531/33554432 binary32) cosTheta) #s(literal 28396593/33554432 binary32))))))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 cosTheta (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) #s(literal 14868421/8388608 binary32))) (/.f32 #s(literal 1 binary32) #s(literal 14868421/8388608 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 (+.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 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (*.f32 (-.f32 c #s(literal -7311685/16777216 binary32)) cosTheta) #s(literal -281474976710656/89596277111961 binary32)) cosTheta) (*.f32 #s(literal 16777216/9465531 binary32) cosTheta))) (*.f32 #s(literal 16777216/9465531 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 (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fma.f32 #s(literal -28396593/33554432 binary32) cosTheta c) #s(literal -7311685/16777216 binary32)) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta))) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (*.f32 (fma.f32 (-.f32 (fma.f32 (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) cosTheta))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 cosTheta (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 cosTheta (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (*.f32 cosTheta (-.f32 (*.f32 cosTheta (-.f32 (*.f32 #s(literal 9465531/33554432 binary32) cosTheta) #s(literal 28396593/33554432 binary32))) #s(literal 9465531/16777216 binary32)))) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -3/2 binary32) cosTheta) #s(literal 1 binary32)))) cosTheta)) (sqrt.f32 (PI.f32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (/.f32 (*.f32 #s(literal 7311685/16777216 binary32) cosTheta) cosTheta) (/.f32 (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))))
(exp.f32 (*.f32 (log.f32 #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (-.f32 (/.f32 #s(literal 9465531/16777216 binary32) cosTheta) (-.f32 #s(literal -7311685/16777216 binary32) (fma.f32 #s(literal -28396593/33554432 binary32) cosTheta c))))) #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 #s(literal -28396593/33554432 binary32) cosTheta c) #s(literal -7311685/16777216 binary32)) (/.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)))
(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)))
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 13
Inputs
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 #s(literal 16777216/9465531 binary32) cosTheta))
#s(approx (/ 1 (+ (+ 1 c) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (sqrt (PI))))) (*.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))))
#s(approx (/ 1 (+ (+ 1 c) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (sqrt (PI))))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(approx (+ 9465531/16777216 (* cosTheta (+ 7311685/16777216 (+ c (* -28396593/33554432 cosTheta))))) #s(literal 9465531/16777216 binary32)) cosTheta)))
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 cosTheta (+.f32 #s(literal 16777216/9465531 binary32) #s(approx (* -281474976710656/89596277111961 (* cosTheta (+ 7311685/16777216 c))) (*.f32 #s(literal -122669718568960/89596277111961 binary32) cosTheta)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (sqrt (PI)))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (-.f32 #s(approx (+ (* -28396593/33554432 cosTheta) c) c) #s(literal -7311685/16777216 binary32)) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta))))
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (fma.f32 (*.f32 (-.f32 c #s(literal -7311685/16777216 binary32)) cosTheta) #s(literal -281474976710656/89596277111961 binary32) #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))))))
(/.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 (* -28396593/33554432 cosTheta)) c)))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 #s(approx (- (+ (* -28396593/33554432 cosTheta) c) -7311685/16777216) (+.f32 #s(literal 7311685/16777216 binary32) (*.f32 #s(literal -28396593/33554432 binary32) cosTheta))) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta))))
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (fma.f32 (*.f32 (-.f32 c #s(literal -7311685/16777216 binary32)) cosTheta) (*.f32 #s(literal -281474976710656/89596277111961 binary32) cosTheta) (*.f32 #s(literal 16777216/9465531 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 -28396593/33554432 binary32) cosTheta c) (-.f32 #s(literal -7311685/16777216 binary32) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (-.f32 (fma.f32 #s(literal -28396593/33554432 binary32) cosTheta c) #s(literal -7311685/16777216 binary32)) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta))))
(/.f32 #s(literal 1 binary32) #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) #s(literal 9465531/16777216 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)))) #s(approx (+ (- (+ (* -28396593/33554432 cosTheta) c) -7311685/16777216) (/ 9465531/16777216 cosTheta)) (+.f32 #s(literal 7311685/16777216 binary32) (fma.f32 #s(literal -28396593/33554432 binary32) cosTheta (*.f32 #s(literal 9465531/16777216 binary32) (/.f32 #s(literal 1 binary32) cosTheta)))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (*.f32 #s(literal -9465531/16777216 binary32) cosTheta)) cosTheta))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (*.f32 cosTheta #s(approx (+ 7311685/16777216 (+ c (* -28396593/33554432 cosTheta))) (+.f32 #s(literal 7311685/16777216 binary32) (*.f32 #s(literal -28396593/33554432 binary32) cosTheta))))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 (-.f32 (fma.f32 #s(literal -28396593/33554432 binary32) cosTheta c) #s(literal -7311685/16777216 binary32)) cosTheta #s(literal 9465531/16777216 binary32)) cosTheta)))
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 cosTheta #s(approx (+ 16777216/9465531 (* -281474976710656/89596277111961 (* cosTheta (+ 7311685/16777216 c)))) (*.f32 cosTheta (fma.f32 #s(literal -281474976710656/89596277111961 binary32) (+.f32 #s(literal 7311685/16777216 binary32) c) (*.f32 #s(literal 16777216/9465531 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 (+.f32 #s(literal 9465531/16777216 binary32) (*.f32 cosTheta (fma.f32 cosTheta #s(literal -28396593/33554432 binary32) (-.f32 c #s(literal -7311685/16777216 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(approx (+ (* (+ (* 9465531/33554432 cosTheta) -28396593/33554432) cosTheta) c) (*.f32 cosTheta (-.f32 (*.f32 #s(literal 9465531/33554432 binary32) cosTheta) #s(literal 28396593/33554432 binary32)))) #s(literal -7311685/16777216 binary32)) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (*.f32 cosTheta (+.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)))) #s(approx (/ (+ 9465531/16777216 (* cosTheta (+ 7311685/16777216 (+ c (* -28396593/33554432 cosTheta))))) cosTheta) (+.f32 c (+.f32 (+.f32 #s(literal 7311685/16777216 binary32) (*.f32 #s(literal -28396593/33554432 binary32) cosTheta)) (*.f32 #s(literal 9465531/16777216 binary32) (/.f32 #s(literal 1 binary32) cosTheta)))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (-.f32 (fma.f32 #s(literal -28396593/33554432 binary32) cosTheta c) #s(literal -7311685/16777216 binary32)) (/.f32 #s(literal 1 binary32) (/.f32 cosTheta #s(literal 9465531/16777216 binary32))))))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) #s(approx (* (exp (* (neg cosTheta) cosTheta)) 9465531/16777216) #s(literal 9465531/16777216 binary32)) (-.f32 c #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (-.f32 (fma.f32 (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32)) cosTheta c) (-.f32 #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)))) (fma.f32 (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32)) cosTheta (-.f32 (-.f32 c #s(literal -7311685/16777216 binary32)) (/.f32 #s(literal -9465531/16777216 binary32) cosTheta)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (-.f32 (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 (+.f32 (/.f32 #s(literal 9465531/16777216 binary32) cosTheta) (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 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) #s(approx (+ (- (+ (* (+ (* 9465531/33554432 cosTheta) -28396593/33554432) cosTheta) c) -7311685/16777216) (/ 9465531/16777216 cosTheta)) (+.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))))))))
(/.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 1 binary32) (/.f32 cosTheta (fma.f32 (-.f32 (fma.f32 #s(literal -28396593/33554432 binary32) cosTheta c) #s(literal -7311685/16777216 binary32)) cosTheta #s(literal 9465531/16777216 binary32))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) cosTheta)) cosTheta)) (sqrt.f32 (PI.f32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (*.f32 cosTheta #s(approx (+ 7311685/16777216 (+ c (* cosTheta (- (* 9465531/33554432 cosTheta) 28396593/33554432)))) (+.f32 #s(literal 7311685/16777216 binary32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal 9465531/33554432 binary32) cosTheta) #s(literal 28396593/33554432 binary32))))))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 cosTheta (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) #s(literal 14868421/8388608 binary32))) (/.f32 #s(literal 1 binary32) #s(literal 14868421/8388608 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 (+.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 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (*.f32 (-.f32 c #s(literal -7311685/16777216 binary32)) cosTheta) #s(literal -281474976710656/89596277111961 binary32)) cosTheta) (*.f32 #s(literal 16777216/9465531 binary32) cosTheta))) (*.f32 #s(literal 16777216/9465531 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 (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fma.f32 #s(literal -28396593/33554432 binary32) cosTheta c) #s(literal -7311685/16777216 binary32)) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta))) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (*.f32 (fma.f32 (-.f32 (fma.f32 (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) cosTheta))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 cosTheta (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 cosTheta (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (*.f32 cosTheta (-.f32 (*.f32 cosTheta (-.f32 (*.f32 #s(literal 9465531/33554432 binary32) cosTheta) #s(literal 28396593/33554432 binary32))) #s(literal 9465531/16777216 binary32)))) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -3/2 binary32) cosTheta) #s(literal 1 binary32)))) cosTheta)) (sqrt.f32 (PI.f32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (/.f32 (*.f32 #s(literal 7311685/16777216 binary32) cosTheta) cosTheta) (/.f32 (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))))
(exp.f32 (*.f32 (log.f32 #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (-.f32 (/.f32 #s(literal 9465531/16777216 binary32) cosTheta) (-.f32 #s(literal -7311685/16777216 binary32) (fma.f32 #s(literal -28396593/33554432 binary32) cosTheta c))))) #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 #s(literal -28396593/33554432 binary32) cosTheta c) #s(literal -7311685/16777216 binary32)) (/.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)))
(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) (fma.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)) #s(literal 9465531/16777216 binary32) (-.f32 c #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 #s(approx (sqrt (- (- 1 cosTheta) cosTheta)) #s(literal 1 binary32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
Outputs
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)) #s(literal 9465531/16777216 binary32) (-.f32 c #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) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (sqrt (PI))))) (*.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 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (*.f32 #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 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (*.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) #s(literal 9465531/16777216 binary32)) (-.f32 c #s(literal -1 binary32))))
Outputs
(/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) #s(literal 9465531/16777216 binary32)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (-.f32 c #s(literal -1 binary32))))
Call 15
Inputs
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 #s(literal 16777216/9465531 binary32) cosTheta))
#s(approx (/ 1 (+ (+ 1 c) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (sqrt (PI))))) (*.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))))
#s(approx (/ 1 (+ (+ 1 c) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (sqrt (PI))))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(approx (+ 9465531/16777216 (* cosTheta (+ 7311685/16777216 (+ c (* -28396593/33554432 cosTheta))))) #s(literal 9465531/16777216 binary32)) cosTheta)))
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 cosTheta (+.f32 #s(literal 16777216/9465531 binary32) #s(approx (* -281474976710656/89596277111961 (* cosTheta (+ 7311685/16777216 c))) (*.f32 #s(literal -122669718568960/89596277111961 binary32) cosTheta)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (sqrt (PI)))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (-.f32 #s(approx (+ (* -28396593/33554432 cosTheta) c) c) #s(literal -7311685/16777216 binary32)) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta))))
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (fma.f32 (*.f32 (-.f32 c #s(literal -7311685/16777216 binary32)) cosTheta) #s(literal -281474976710656/89596277111961 binary32) #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))))))
(/.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 (* -28396593/33554432 cosTheta)) c)))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 #s(approx (- (+ (* -28396593/33554432 cosTheta) c) -7311685/16777216) (+.f32 #s(literal 7311685/16777216 binary32) (*.f32 #s(literal -28396593/33554432 binary32) cosTheta))) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta))))
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (fma.f32 (*.f32 (-.f32 c #s(literal -7311685/16777216 binary32)) cosTheta) (*.f32 #s(literal -281474976710656/89596277111961 binary32) cosTheta) (*.f32 #s(literal 16777216/9465531 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 -28396593/33554432 binary32) cosTheta c) (-.f32 #s(literal -7311685/16777216 binary32) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (-.f32 (fma.f32 #s(literal -28396593/33554432 binary32) cosTheta c) #s(literal -7311685/16777216 binary32)) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta))))
(/.f32 #s(literal 1 binary32) #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) #s(literal 9465531/16777216 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)))) #s(approx (+ (- (+ (* -28396593/33554432 cosTheta) c) -7311685/16777216) (/ 9465531/16777216 cosTheta)) (+.f32 #s(literal 7311685/16777216 binary32) (fma.f32 #s(literal -28396593/33554432 binary32) cosTheta (*.f32 #s(literal 9465531/16777216 binary32) (/.f32 #s(literal 1 binary32) cosTheta)))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (*.f32 #s(literal -9465531/16777216 binary32) cosTheta)) cosTheta))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (*.f32 cosTheta #s(approx (+ 7311685/16777216 (+ c (* -28396593/33554432 cosTheta))) (+.f32 #s(literal 7311685/16777216 binary32) (*.f32 #s(literal -28396593/33554432 binary32) cosTheta))))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 (-.f32 (fma.f32 #s(literal -28396593/33554432 binary32) cosTheta c) #s(literal -7311685/16777216 binary32)) cosTheta #s(literal 9465531/16777216 binary32)) cosTheta)))
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 cosTheta #s(approx (+ 16777216/9465531 (* -281474976710656/89596277111961 (* cosTheta (+ 7311685/16777216 c)))) (*.f32 cosTheta (fma.f32 #s(literal -281474976710656/89596277111961 binary32) (+.f32 #s(literal 7311685/16777216 binary32) c) (*.f32 #s(literal 16777216/9465531 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 (+.f32 #s(literal 9465531/16777216 binary32) (*.f32 cosTheta (fma.f32 cosTheta #s(literal -28396593/33554432 binary32) (-.f32 c #s(literal -7311685/16777216 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(approx (+ (* (+ (* 9465531/33554432 cosTheta) -28396593/33554432) cosTheta) c) (*.f32 cosTheta (-.f32 (*.f32 #s(literal 9465531/33554432 binary32) cosTheta) #s(literal 28396593/33554432 binary32)))) #s(literal -7311685/16777216 binary32)) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (*.f32 cosTheta (+.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)))) #s(approx (/ (+ 9465531/16777216 (* cosTheta (+ 7311685/16777216 (+ c (* -28396593/33554432 cosTheta))))) cosTheta) (+.f32 c (+.f32 (+.f32 #s(literal 7311685/16777216 binary32) (*.f32 #s(literal -28396593/33554432 binary32) cosTheta)) (*.f32 #s(literal 9465531/16777216 binary32) (/.f32 #s(literal 1 binary32) cosTheta)))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (-.f32 (fma.f32 #s(literal -28396593/33554432 binary32) cosTheta c) #s(literal -7311685/16777216 binary32)) (/.f32 #s(literal 1 binary32) (/.f32 cosTheta #s(literal 9465531/16777216 binary32))))))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) #s(approx (* (exp (* (neg cosTheta) cosTheta)) 9465531/16777216) #s(literal 9465531/16777216 binary32)) (-.f32 c #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (-.f32 (fma.f32 (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32)) cosTheta c) (-.f32 #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)))) (fma.f32 (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32)) cosTheta (-.f32 (-.f32 c #s(literal -7311685/16777216 binary32)) (/.f32 #s(literal -9465531/16777216 binary32) cosTheta)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (-.f32 (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 (+.f32 (/.f32 #s(literal 9465531/16777216 binary32) cosTheta) (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 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) #s(approx (+ (- (+ (* (+ (* 9465531/33554432 cosTheta) -28396593/33554432) cosTheta) c) -7311685/16777216) (/ 9465531/16777216 cosTheta)) (+.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))))))))
(/.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 1 binary32) (/.f32 cosTheta (fma.f32 (-.f32 (fma.f32 #s(literal -28396593/33554432 binary32) cosTheta c) #s(literal -7311685/16777216 binary32)) cosTheta #s(literal 9465531/16777216 binary32))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) cosTheta)) cosTheta)) (sqrt.f32 (PI.f32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (*.f32 cosTheta #s(approx (+ 7311685/16777216 (+ c (* cosTheta (- (* 9465531/33554432 cosTheta) 28396593/33554432)))) (+.f32 #s(literal 7311685/16777216 binary32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal 9465531/33554432 binary32) cosTheta) #s(literal 28396593/33554432 binary32))))))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 cosTheta (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) #s(literal 14868421/8388608 binary32))) (/.f32 #s(literal 1 binary32) #s(literal 14868421/8388608 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 (+.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 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (*.f32 (-.f32 c #s(literal -7311685/16777216 binary32)) cosTheta) #s(literal -281474976710656/89596277111961 binary32)) cosTheta) (*.f32 #s(literal 16777216/9465531 binary32) cosTheta))) (*.f32 #s(literal 16777216/9465531 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 (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fma.f32 #s(literal -28396593/33554432 binary32) cosTheta c) #s(literal -7311685/16777216 binary32)) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta))) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (*.f32 (fma.f32 (-.f32 (fma.f32 (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) cosTheta))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 cosTheta (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 cosTheta (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (*.f32 cosTheta (-.f32 (*.f32 cosTheta (-.f32 (*.f32 #s(literal 9465531/33554432 binary32) cosTheta) #s(literal 28396593/33554432 binary32))) #s(literal 9465531/16777216 binary32)))) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -3/2 binary32) cosTheta) #s(literal 1 binary32)))) cosTheta)) (sqrt.f32 (PI.f32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (/.f32 (*.f32 #s(literal 7311685/16777216 binary32) cosTheta) cosTheta) (/.f32 (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))))
(exp.f32 (*.f32 (log.f32 #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (-.f32 (/.f32 #s(literal 9465531/16777216 binary32) cosTheta) (-.f32 #s(literal -7311685/16777216 binary32) (fma.f32 #s(literal -28396593/33554432 binary32) cosTheta c))))) #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 #s(literal -28396593/33554432 binary32) cosTheta c) #s(literal -7311685/16777216 binary32)) (/.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)))
(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) (fma.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)) #s(literal 9465531/16777216 binary32) (-.f32 c #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 #s(approx (sqrt (- (- 1 cosTheta) cosTheta)) #s(literal 1 binary32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) 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 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (*.f32 #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 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (*.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) #s(literal 9465531/16777216 binary32)) (-.f32 c #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) cosTheta) (*.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) #s(literal 9465531/16777216 binary32)) (-.f32 c #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (-.f32 c (-.f32 #s(literal -1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 cosTheta (-.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -3/2 binary32) (/.f32 cosTheta (sqrt.f32 (PI.f32)))))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)))
(/.f32 #s(literal 1 binary32) (+.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 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (-.f32 c #s(literal -1 binary32))))
Outputs
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) cosTheta) (*.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) #s(literal 9465531/16777216 binary32)) (-.f32 c #s(literal -1 binary32))))
Call 16
Inputs
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 #s(literal 16777216/9465531 binary32) cosTheta))
#s(approx (/ 1 (+ (+ 1 c) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (sqrt (PI))))) (*.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))))
#s(approx (/ 1 (+ (+ 1 c) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (sqrt (PI))))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(approx (+ 9465531/16777216 (* cosTheta (+ 7311685/16777216 (+ c (* -28396593/33554432 cosTheta))))) #s(literal 9465531/16777216 binary32)) cosTheta)))
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 cosTheta (+.f32 #s(literal 16777216/9465531 binary32) #s(approx (* -281474976710656/89596277111961 (* cosTheta (+ 7311685/16777216 c))) (*.f32 #s(literal -122669718568960/89596277111961 binary32) cosTheta)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (sqrt (PI)))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (-.f32 #s(approx (+ (* -28396593/33554432 cosTheta) c) c) #s(literal -7311685/16777216 binary32)) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta))))
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (fma.f32 (*.f32 (-.f32 c #s(literal -7311685/16777216 binary32)) cosTheta) #s(literal -281474976710656/89596277111961 binary32) #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))))))
(/.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 (* -28396593/33554432 cosTheta)) c)))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 #s(approx (- (+ (* -28396593/33554432 cosTheta) c) -7311685/16777216) (+.f32 #s(literal 7311685/16777216 binary32) (*.f32 #s(literal -28396593/33554432 binary32) cosTheta))) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta))))
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (fma.f32 (*.f32 (-.f32 c #s(literal -7311685/16777216 binary32)) cosTheta) (*.f32 #s(literal -281474976710656/89596277111961 binary32) cosTheta) (*.f32 #s(literal 16777216/9465531 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 -28396593/33554432 binary32) cosTheta c) (-.f32 #s(literal -7311685/16777216 binary32) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (-.f32 (fma.f32 #s(literal -28396593/33554432 binary32) cosTheta c) #s(literal -7311685/16777216 binary32)) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta))))
(/.f32 #s(literal 1 binary32) #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) #s(literal 9465531/16777216 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)))) #s(approx (+ (- (+ (* -28396593/33554432 cosTheta) c) -7311685/16777216) (/ 9465531/16777216 cosTheta)) (+.f32 #s(literal 7311685/16777216 binary32) (fma.f32 #s(literal -28396593/33554432 binary32) cosTheta (*.f32 #s(literal 9465531/16777216 binary32) (/.f32 #s(literal 1 binary32) cosTheta)))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (*.f32 #s(literal -9465531/16777216 binary32) cosTheta)) cosTheta))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (*.f32 cosTheta #s(approx (+ 7311685/16777216 (+ c (* -28396593/33554432 cosTheta))) (+.f32 #s(literal 7311685/16777216 binary32) (*.f32 #s(literal -28396593/33554432 binary32) cosTheta))))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 (-.f32 (fma.f32 #s(literal -28396593/33554432 binary32) cosTheta c) #s(literal -7311685/16777216 binary32)) cosTheta #s(literal 9465531/16777216 binary32)) cosTheta)))
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 cosTheta #s(approx (+ 16777216/9465531 (* -281474976710656/89596277111961 (* cosTheta (+ 7311685/16777216 c)))) (*.f32 cosTheta (fma.f32 #s(literal -281474976710656/89596277111961 binary32) (+.f32 #s(literal 7311685/16777216 binary32) c) (*.f32 #s(literal 16777216/9465531 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 (+.f32 #s(literal 9465531/16777216 binary32) (*.f32 cosTheta (fma.f32 cosTheta #s(literal -28396593/33554432 binary32) (-.f32 c #s(literal -7311685/16777216 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(approx (+ (* (+ (* 9465531/33554432 cosTheta) -28396593/33554432) cosTheta) c) (*.f32 cosTheta (-.f32 (*.f32 #s(literal 9465531/33554432 binary32) cosTheta) #s(literal 28396593/33554432 binary32)))) #s(literal -7311685/16777216 binary32)) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (*.f32 cosTheta (+.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)))) #s(approx (/ (+ 9465531/16777216 (* cosTheta (+ 7311685/16777216 (+ c (* -28396593/33554432 cosTheta))))) cosTheta) (+.f32 c (+.f32 (+.f32 #s(literal 7311685/16777216 binary32) (*.f32 #s(literal -28396593/33554432 binary32) cosTheta)) (*.f32 #s(literal 9465531/16777216 binary32) (/.f32 #s(literal 1 binary32) cosTheta)))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (-.f32 (fma.f32 #s(literal -28396593/33554432 binary32) cosTheta c) #s(literal -7311685/16777216 binary32)) (/.f32 #s(literal 1 binary32) (/.f32 cosTheta #s(literal 9465531/16777216 binary32))))))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) #s(approx (* (exp (* (neg cosTheta) cosTheta)) 9465531/16777216) #s(literal 9465531/16777216 binary32)) (-.f32 c #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (-.f32 (fma.f32 (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32)) cosTheta c) (-.f32 #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)))) (fma.f32 (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32)) cosTheta (-.f32 (-.f32 c #s(literal -7311685/16777216 binary32)) (/.f32 #s(literal -9465531/16777216 binary32) cosTheta)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (-.f32 (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 (+.f32 (/.f32 #s(literal 9465531/16777216 binary32) cosTheta) (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 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) #s(approx (+ (- (+ (* (+ (* 9465531/33554432 cosTheta) -28396593/33554432) cosTheta) c) -7311685/16777216) (/ 9465531/16777216 cosTheta)) (+.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))))))))
(/.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 1 binary32) (/.f32 cosTheta (fma.f32 (-.f32 (fma.f32 #s(literal -28396593/33554432 binary32) cosTheta c) #s(literal -7311685/16777216 binary32)) cosTheta #s(literal 9465531/16777216 binary32))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) cosTheta)) cosTheta)) (sqrt.f32 (PI.f32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (*.f32 cosTheta #s(approx (+ 7311685/16777216 (+ c (* cosTheta (- (* 9465531/33554432 cosTheta) 28396593/33554432)))) (+.f32 #s(literal 7311685/16777216 binary32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal 9465531/33554432 binary32) cosTheta) #s(literal 28396593/33554432 binary32))))))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 cosTheta (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) #s(literal 14868421/8388608 binary32))) (/.f32 #s(literal 1 binary32) #s(literal 14868421/8388608 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 (+.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 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (*.f32 (-.f32 c #s(literal -7311685/16777216 binary32)) cosTheta) #s(literal -281474976710656/89596277111961 binary32)) cosTheta) (*.f32 #s(literal 16777216/9465531 binary32) cosTheta))) (*.f32 #s(literal 16777216/9465531 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 (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fma.f32 #s(literal -28396593/33554432 binary32) cosTheta c) #s(literal -7311685/16777216 binary32)) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta))) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (*.f32 (fma.f32 (-.f32 (fma.f32 (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) cosTheta))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 cosTheta (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 cosTheta (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (*.f32 cosTheta (-.f32 (*.f32 cosTheta (-.f32 (*.f32 #s(literal 9465531/33554432 binary32) cosTheta) #s(literal 28396593/33554432 binary32))) #s(literal 9465531/16777216 binary32)))) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -3/2 binary32) cosTheta) #s(literal 1 binary32)))) cosTheta)) (sqrt.f32 (PI.f32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (/.f32 (*.f32 #s(literal 7311685/16777216 binary32) cosTheta) cosTheta) (/.f32 (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))))
(exp.f32 (*.f32 (log.f32 #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (-.f32 (/.f32 #s(literal 9465531/16777216 binary32) cosTheta) (-.f32 #s(literal -7311685/16777216 binary32) (fma.f32 #s(literal -28396593/33554432 binary32) cosTheta c))))) #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 #s(literal -28396593/33554432 binary32) cosTheta c) #s(literal -7311685/16777216 binary32)) (/.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)))
(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) (fma.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)) #s(literal 9465531/16777216 binary32) (-.f32 c #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 #s(approx (sqrt (- (- 1 cosTheta) cosTheta)) #s(literal 1 binary32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) 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 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (*.f32 #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 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (*.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) #s(literal 9465531/16777216 binary32)) (-.f32 c #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) cosTheta) (*.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) #s(literal 9465531/16777216 binary32)) (-.f32 c #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (-.f32 c (-.f32 #s(literal -1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 cosTheta (-.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -3/2 binary32) (/.f32 cosTheta (sqrt.f32 (PI.f32)))))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)))
(/.f32 #s(literal 1 binary32) (+.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 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (-.f32 c #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)) (sqrt.f32 (PI.f32)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.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)))))
(exp.f32 (*.f32 (log.f32 (fma.f32 #s(literal 9465531/16777216 binary32) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)) (-.f32 c #s(literal -1 binary32)))) #s(literal -1 binary32)))
(exp.f32 (*.f32 (log.f32 (fma.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)) #s(literal 9465531/16777216 binary32) (-.f32 c #s(literal -1 binary32)))) #s(literal -1 binary32)))
(exp.f32 (*.f32 (log.f32 (-.f32 c (-.f32 #s(literal -1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta))))) #s(literal -1 binary32)))
(*.f32 (pow.f32 #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (-.f32 (/.f32 #s(literal 9465531/16777216 binary32) cosTheta) (-.f32 #s(literal -7311685/16777216 binary32) (fma.f32 #s(literal -28396593/33554432 binary32) cosTheta c)))) (/.f32 #s(literal -1 binary32) #s(literal 2 binary32))) (pow.f32 #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (-.f32 (/.f32 #s(literal 9465531/16777216 binary32) cosTheta) (-.f32 #s(literal -7311685/16777216 binary32) (fma.f32 #s(literal -28396593/33554432 binary32) cosTheta c)))) (/.f32 #s(literal -1 binary32) #s(literal 2 binary32))))
(*.f32 (pow.f32 #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (-.f32 (fma.f32 #s(literal -28396593/33554432 binary32) cosTheta c) #s(literal -7311685/16777216 binary32)) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta))) (/.f32 #s(literal -1 binary32) #s(literal 2 binary32))) (pow.f32 #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (-.f32 (fma.f32 #s(literal -28396593/33554432 binary32) cosTheta c) #s(literal -7311685/16777216 binary32)) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta))) (/.f32 #s(literal -1 binary32) #s(literal 2 binary32))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (sqrt.f32 (PI.f32)) #s(literal 3 binary32)) (pow.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) #s(literal 2 binary32))))))) (*.f32 (pow.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))
#s(approx (/ 1 (+ (+ 1 c) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (sqrt (PI))))) (*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (sqrt.f32 (PI.f32)) #s(literal 3 binary32)) (pow.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) #s(literal 2 binary32))))))) (*.f32 (pow.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))
(*.f32 (pow.f32 (-.f32 c (-.f32 #s(literal -1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)))) (/.f32 #s(literal -1 binary32) #s(literal 2 binary32))) (pow.f32 (-.f32 c (-.f32 #s(literal -1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)))) (/.f32 #s(literal -1 binary32) #s(literal 2 binary32))))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)) (sqrt.f32 (PI.f32)))))
Calls

96 calls:

37.0ms
cosTheta
21.0ms
(*.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)))
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)))))
19.0ms
cosTheta
Results
AccuracySegmentsBranch
92.4%1(+.f32 #s(literal 1 binary32) c)
92.4%1c
92.4%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)))
92.4%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))))
92.4%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)))))
92.4%1cosTheta
92.5%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)))))
92.5%1cosTheta
92.5%1(+.f32 #s(literal 1 binary32) c)
92.5%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)))
92.5%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))))
92.5%1c
95.2%1(+.f32 #s(literal 1 binary32) c)
95.2%1(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
95.2%1cosTheta
95.2%1c
95.2%1(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))
95.2%1(+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))
95.3%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)))
95.3%1(+.f32 #s(literal 1 binary32) c)
95.3%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))))
95.3%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)))))
95.3%1cosTheta
95.3%1c
96.0%1(+.f32 #s(literal 1 binary32) c)
96.0%1(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
96.0%1cosTheta
96.0%1c
96.0%1(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))
96.0%1(+.f32 (+.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(/.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%1cosTheta
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%1c
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%1cosTheta
96.2%1c
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(*.f32 (*.f32 (/.f32 #s(literal 1 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 (+.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(/.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%1cosTheta
96.2%1(+.f32 #s(literal 1 binary32) c)
96.2%1c
96.4%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)))
96.4%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))))
96.4%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)))))
96.4%1cosTheta
96.4%1(+.f32 #s(literal 1 binary32) c)
96.4%1c
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 (+.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%1cosTheta
96.7%1(+.f32 #s(literal 1 binary32) c)
96.7%1c
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 (+.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) c)
96.7%1(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
96.7%1cosTheta
96.7%1c
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%1cosTheta
96.7%1c
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))))
97.8%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)))))
97.8%1cosTheta
97.8%1c
97.8%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)))
97.8%1(+.f32 #s(literal 1 binary32) c)
97.8%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))))
97.9%1(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
97.9%1cosTheta
97.9%1c
97.9%1(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))
97.9%1(+.f32 #s(literal 1 binary32) c)
97.9%1(+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))
97.9%1(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
97.9%1cosTheta
97.9%1c
97.9%1(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))
97.9%1(+.f32 #s(literal 1 binary32) c)
97.9%1(+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))
98.3%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)))
98.3%1(+.f32 #s(literal 1 binary32) c)
98.3%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))))
98.3%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)))))
98.3%1cosTheta
98.3%1c
Compiler

Compiled 3 941 to 1 389 computations (64.8% saved)

derivations169.0ms (4.4%)

Memory
13.2MiB live, 254.3MiB allocated; 16ms collecting garbage
Stop Event
fuel
Compiler

Compiled 507 to 143 computations (71.8% saved)

preprocess105.0ms (2.7%)

Memory
7.0MiB live, 335.0MiB allocated; 19ms collecting garbage
Compiler

Compiled 532 to 161 computations (69.7% saved)

end0.0ms (0.0%)

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

Profiling

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