Beckmann Sample, normalization factor

Time bar (total: 21.3s)

analyze66.0ms (0.3%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%12.3%87.7%0%0%0%0
0%0%12.3%87.7%0%0%0%1
50%6.2%6.2%87.7%0%0%0%2
50%6.2%6.2%87.7%0%0%0%3
75%9.2%3.1%87.7%0%0%0%4
75%9.2%3.1%87.7%0%0%0%5
87.5%10.8%1.5%87.7%0%0%0%6
87.5%10.8%1.5%87.7%0%0%0%7
93.8%11.5%0.8%87.7%0%0%0%8
93.8%11.5%0.8%87.7%0%0%0%9
96.9%11.9%0.4%87.7%0%0%0%10
96.9%11.9%0.4%87.7%0%0%0%11
98.4%12.1%0.2%87.7%0%0%0%12
Compiler

Compiled 42 to 32 computations (23.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
Operation ival-div, time spent: 4.0ms, 16.0% of total-time
Operation ival-mult, time spent: 4.0ms, 16.0% of total-time
Operation ival-sqrt, time spent: 4.0ms, 16.0% of total-time
Operation ival-<, time spent: 3.0ms, 12.0% of total-time
Operation ival-add, time spent: 2.0ms, 8.0% of total-time
Operation ival-exp, time spent: 2.0ms, 8.0% of total-time
Operation ival-sub, time spent: 2.0ms, 8.0% of total-time
Operation ival-pi, time spent: 1.0ms, 4.0% of total-time
Operation ival-and, time spent: 1.0ms, 4.0% of total-time
Operation const, time spent: 1.0ms, 4.0% of total-time
Operation ival-neg, time spent: 1.0ms, 4.0% of total-time

sample3.2s (15%)

Results
2.8s8255×256valid
19.0ms76×256invalid
0.0ms1×256valid
Precisions
Click to see histograms. Total time spent on operations: 1.4s
Operation ival-mult, time spent: 282.0ms, 20.0% of total-time
Operation ival-<, time spent: 228.0ms, 16.0% of total-time
Operation ival-div, time spent: 211.0ms, 15.0% of total-time
Operation ival-exp, time spent: 151.0ms, 11.0% of total-time
Operation ival-sqrt, time spent: 150.0ms, 11.0% of total-time
Operation ival-add, time spent: 121.0ms, 9.0% of total-time
Operation ival-sub, time spent: 112.0ms, 8.0% of total-time
Operation ival-neg, time spent: 47.0ms, 3.0% of total-time
Operation ival-pi, time spent: 44.0ms, 3.0% of total-time
Operation const, time spent: 43.0ms, 3.0% of total-time
Operation ival-and, time spent: 31.0ms, 2.0% of total-time
Bogosity

preprocess668.0ms (3.1%)

Algorithm
1×egg-herbie
Rules
1240×div-sub
966×distribute-lft-neg-in
738×fma-define
730×distribute-rgt-neg-in
714×sub-neg
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(neg.f32 cosTheta)
00-0-(exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))
00-0-(/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)
00-0-#s(literal 1 binary32)
00-0-(-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)
00-0-(-.f32 #s(literal 1 binary32) cosTheta)
00-0-(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
00-0-(sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))
00-0-c
00-0-(+.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))))
00-0-(/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))
00-0-cosTheta
00-0-(+.f32 #s(literal 1 binary32) c)
00-0-(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))
00-0-(*.f32 (neg.f32 cosTheta) cosTheta)
00-0-(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta))
00-0-(PI.f32)
00-0-(sqrt.f32 (PI.f32))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
052687
1149596
2435592
31471560
44275560
55930560
67669560
Stop Event
1×node limit
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)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (neg.f32 cosTheta)) (neg.f32 cosTheta))) (neg.f32 cosTheta))) (exp.f32 (*.f32 (neg.f32 (neg.f32 cosTheta)) (neg.f32 cosTheta))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) (neg.f32 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)))))
(neg.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) (neg.f32 cosTheta)) (neg.f32 cosTheta))) (neg.f32 cosTheta))) (exp.f32 (*.f32 (neg.f32 (neg.f32 cosTheta)) (neg.f32 cosTheta)))))))
(neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) (neg.f32 c)) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) cosTheta) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) c) c)) c)) (exp.f32 (*.f32 (neg.f32 c) c)))))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))))))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) cosTheta) (sqrt.f32 (PI.f32))) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (+.f32 #s(literal 1 binary32) c)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (pow.f32 (exp.f32 (neg.f32 cosTheta)) cosTheta) c)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (pow.f32 (exp.f32 (neg.f32 cosTheta)) cosTheta) c)))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))))))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) cosTheta) (sqrt.f32 (PI.f32))) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (+.f32 #s(literal 1 binary32) c)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (pow.f32 (exp.f32 (neg.f32 cosTheta)) cosTheta) c)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (pow.f32 (exp.f32 (neg.f32 cosTheta)) cosTheta) c)))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (neg.f32 cosTheta)) (neg.f32 cosTheta))) (neg.f32 cosTheta))) (exp.f32 (*.f32 (neg.f32 (neg.f32 cosTheta)) (neg.f32 cosTheta))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 (/.f32 (sqrt.f32 (+.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (neg.f32 cosTheta)) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))))))
(/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (/.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (neg.f32 cosTheta)) (sqrt.f32 (PI.f32))) (+.f32 #s(literal 1 binary32) c)))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (neg.f32 cosTheta) (sqrt.f32 (PI.f32)))) (pow.f32 (exp.f32 cosTheta) cosTheta))))
(/.f32 #s(literal 1 binary32) (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal 2 binary32) #s(literal 1 binary32))) cosTheta) (*.f32 (sqrt.f32 (PI.f32)) (pow.f32 (exp.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (-.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal 2 binary32) #s(literal 1 binary32))) (*.f32 (pow.f32 (exp.f32 cosTheta) cosTheta) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))) c)))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) (neg.f32 c)) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))) (-.f32 #s(literal 1 binary32) c)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) cosTheta) (sqrt.f32 (PI.f32))) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (-.f32 #s(literal 1 binary32) c)))
(/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (pow.f32 (exp.f32 (neg.f32 cosTheta)) cosTheta) #s(literal 1 binary32)) c))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 (pow.f32 (exp.f32 cosTheta) cosTheta) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))) c)))
(neg.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) (neg.f32 cosTheta)) (neg.f32 cosTheta))) (neg.f32 cosTheta))) (exp.f32 (*.f32 (neg.f32 (neg.f32 cosTheta)) (neg.f32 cosTheta)))))))
(/.f32 #s(literal -1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 (/.f32 (sqrt.f32 (+.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (neg.f32 cosTheta)) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))))))
(/.f32 #s(literal -1 binary32) (fma.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (/.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (neg.f32 cosTheta)) (sqrt.f32 (PI.f32))) (+.f32 #s(literal 1 binary32) c)))
(/.f32 #s(literal 1 binary32) (-.f32 (/.f32 (/.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) (sqrt.f32 (PI.f32))) (+.f32 #s(literal 1 binary32) c)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (-.f32 (/.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal 2 binary32) #s(literal 1 binary32))) cosTheta) (*.f32 (sqrt.f32 (PI.f32)) (pow.f32 (exp.f32 cosTheta) cosTheta))) c)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (-.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal 2 binary32) #s(literal 1 binary32))) (*.f32 (pow.f32 (exp.f32 cosTheta) cosTheta) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))) c)))
(neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) (neg.f32 c)) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))))
(/.f32 #s(literal -1 binary32) (+.f32 (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))) (-.f32 #s(literal 1 binary32) c)))
(/.f32 #s(literal -1 binary32) (fma.f32 (/.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) cosTheta) (sqrt.f32 (PI.f32))) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (-.f32 #s(literal 1 binary32) c)))
(/.f32 #s(literal -1 binary32) (-.f32 (fma.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (pow.f32 (exp.f32 (neg.f32 cosTheta)) cosTheta) #s(literal 1 binary32)) c))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (-.f32 c (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 (pow.f32 (exp.f32 cosTheta) cosTheta) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) cosTheta) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) c) c)) c)) (exp.f32 (*.f32 (neg.f32 c) c)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) cosTheta) (*.f32 (/.f32 (*.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 c c))) c)) (sqrt.f32 (PI.f32))) (exp.f32 (neg.f32 (*.f32 c c))))))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) c))) c) (sqrt.f32 (PI.f32))) (pow.f32 (exp.f32 c) (neg.f32 c)) (+.f32 #s(literal 1 binary32) cosTheta)))
(/.f32 #s(literal 1 binary32) (+.f32 cosTheta (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 c #s(literal -2 binary32)))) (pow.f32 (exp.f32 c) c)) (*.f32 (sqrt.f32 (PI.f32)) c)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 cosTheta (/.f32 (/.f32 (sqrt.f32 (fma.f32 c #s(literal -2 binary32) #s(literal 1 binary32))) (pow.f32 (exp.f32 c) c)) (*.f32 c (sqrt.f32 (PI.f32)))))))
Compiler

Compiled 285 to 161 computations (43.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 181.0ms
Operation ival-sub, time spent: 47.0ms, 26.0% of total-time
Operation ival-div, time spent: 42.0ms, 23.0% of total-time
Operation ival-mult, time spent: 29.0ms, 16.0% of total-time
Operation ival-sqrt, time spent: 29.0ms, 16.0% of total-time
Operation ival-add, time spent: 14.0ms, 8.0% of total-time
Operation ival-exp, time spent: 9.0ms, 5.0% of total-time
Operation const, time spent: 6.0ms, 3.0% of total-time
Operation ival-neg, time spent: 3.0ms, 2.0% of total-time
Operation ival-pi, time spent: 2.0ms, 1.0% of total-time

eval2.0ms (0%)

Compiler

Compiled 92 to 57 computations (38% saved)

prune6.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.4%
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) cosTheta) (sqrt.f32 (PI.f32))) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (+.f32 #s(literal 1 binary32) c)))
▶98.0%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
▶98.6%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (pow.f32 (exp.f32 (neg.f32 cosTheta)) cosTheta) c)))
▶98.0%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))))))
Compiler

Compiled 102 to 80 computations (21.6% saved)

localize2.2s (10.2%)

Localize:

Found 16 expressions with local error:

NewAccuracyProgram
✓99.8%
(fma.f32 (/.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) cosTheta) (sqrt.f32 (PI.f32))) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (+.f32 #s(literal 1 binary32) c))
✓99.8%
(sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))))
✓99.0%
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) cosTheta) (sqrt.f32 (PI.f32))) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (+.f32 #s(literal 1 binary32) c)))
✓98.8%
(/.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) cosTheta) (sqrt.f32 (PI.f32)))
✓99.6%
(-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)
✓99.0%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
✓97.9%
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta))
✓96.9%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))
✓99.8%
(sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))))
✓99.2%
(/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))
✓99.0%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (pow.f32 (exp.f32 (neg.f32 cosTheta)) cosTheta) c)))
✓98.9%
(*.f32 (sqrt.f32 (PI.f32)) cosTheta)
✓99.6%
(-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)
✓99.0%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))))))
✓97.9%
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta))
✓96.9%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))
Compiler

Compiled 471 to 241 computations (48.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 446.0ms
Operation ival-sub, time spent: 102.0ms, 23.0% of total-time
Operation ival-mult, time spent: 91.0ms, 20.0% of total-time
Operation ival-div, time spent: 70.0ms, 16.0% of total-time
Operation ival-sqrt, time spent: 51.0ms, 11.0% of total-time
Operation ival-add, time spent: 46.0ms, 10.0% of total-time
Operation ival-pow, time spent: 37.0ms, 8.0% of total-time
Operation composed, time spent: 20.0ms, 4.0% of total-time
Operation ival-exp, time spent: 12.0ms, 3.0% of total-time
Operation const, time spent: 11.0ms, 2.0% of total-time
Operation ival-pi, time spent: 5.0ms, 1.0% of total-time
Operation ival-neg, time spent: 1.0ms, 0.0% of total-time

series95.0ms (0.4%)

Counts
16 → 228
Calls
Call 1
Inputs
#<alt (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))>
#<alt (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta))>
#<alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))))))>
#<alt (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)>
#<alt (*.f32 (sqrt.f32 (PI.f32)) cosTheta)>
#<alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (pow.f32 (exp.f32 (neg.f32 cosTheta)) cosTheta) c)))>
#<alt (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))>
#<alt (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))))>
#<alt (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))>
#<alt (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta))>
#<alt (/.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)))))>
#<alt (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)>
#<alt (/.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) cosTheta) (sqrt.f32 (PI.f32)))>
#<alt (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) cosTheta) (sqrt.f32 (PI.f32))) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (+.f32 #s(literal 1 binary32) c)))>
#<alt (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))))>
#<alt (fma.f32 (/.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) cosTheta) (sqrt.f32 (PI.f32))) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (+.f32 #s(literal 1 binary32) c))>
Outputs
#<alt (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))>
#<alt (/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) cosTheta)>
#<alt (/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))) cosTheta)>
#<alt (/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))) cosTheta)>
#<alt (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32)))>
#<alt (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -2 binary32))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32))))>
#<alt (+.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32))))) (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -2 binary32))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32)))))>
#<alt (+.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32))))) (+.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 7 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32))))) (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -2 binary32))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))) (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))) (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))) (*.f32 #s(literal 1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32)))))))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))) (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))) (+.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 7 binary32)) (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 5 binary32))))) (*.f32 #s(literal 1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32))))))))>
#<alt (/.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)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))))>
#<alt (+.f32 (*.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)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (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)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))))))>
#<alt (+.f32 (*.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)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (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)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (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)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))))))>
#<alt (+.f32 (*.f32 c (-.f32 (*.f32 c (+.f32 (*.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)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (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)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (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)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (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)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))))))>
#<alt (/.f32 #s(literal 1 binary32) c)>
#<alt (/.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)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))) c))) c)>
#<alt (/.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)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))) #s(literal 2 binary32)) (pow.f32 c #s(literal 2 binary32)))) (+.f32 (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))) (/.f32 #s(literal 1 binary32) c))) c)>
#<alt (/.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)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))) #s(literal 3 binary32)) (pow.f32 c #s(literal 3 binary32))))) (+.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)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))) #s(literal 2 binary32)) (pow.f32 c #s(literal 2 binary32)))) (+.f32 (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))) (/.f32 #s(literal 1 binary32) c)))) c)>
#<alt (/.f32 #s(literal 1 binary32) c)>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))) (/.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32)) c))>
#<alt (*.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)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (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)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))))) c)) #s(literal 1 binary32)) c))>
#<alt (*.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)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (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)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (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)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))))) c)) #s(literal 1 binary32)) c))>
#<alt (*.f32 cosTheta (sqrt.f32 (PI.f32)))>
#<alt (*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))))>
#<alt (*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) #s(literal 2 binary32)))) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))))>
#<alt (*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (-.f32 (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) #s(literal 2 binary32)))) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))) (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))) (*.f32 (PI.f32) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))) (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) #s(literal 2 binary32)))) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))))>
#<alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))))>
#<alt (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))) #s(literal 2 binary32)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32))))))))>
#<alt (-.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1/4 binary32) (/.f32 (*.f32 cosTheta (pow.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32))) (*.f32 (PI.f32) (*.f32 (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))) #s(literal 3 binary32)))))) (*.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32))) (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))) #s(literal 2 binary32))))))) (pow.f32 cosTheta #s(literal 4 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))))) (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))) #s(literal 2 binary32)))))))>
#<alt (-.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 cosTheta (PI.f32))) (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 (*.f32 #s(literal -1/4 binary32) (/.f32 (*.f32 cosTheta (pow.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32))) (*.f32 (PI.f32) (*.f32 (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))) #s(literal 3 binary32)))))) (*.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32))) (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))) #s(literal 2 binary32)))))))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))))))) (+.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 (sqrt.f32 (/.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32))) (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))) #s(literal 2 binary32)))))) (*.f32 #s(literal 1/16 binary32) (/.f32 (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (pow.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32))) (*.f32 (PI.f32) (*.f32 (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 4 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))) #s(literal 3 binary32)))))))) (pow.f32 cosTheta #s(literal 6 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))))) (+.f32 (*.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 cosTheta #s(literal 3 binary32)) (*.f32 (PI.f32) (*.f32 (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))) #s(literal 3 binary32))))))) (+.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))) #s(literal 2 binary32)))))) (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))) #s(literal 2 binary32)))))))))>
#<alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))))))))>
#<alt (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 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 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))))))))>
#<alt (-.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 (sqrt.f32 (/.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32))) (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))))))) #s(literal 2 binary32)))))) (*.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 cosTheta (pow.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32))) (*.f32 (PI.f32) (*.f32 (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))))))) #s(literal 3 binary32))))))) (pow.f32 cosTheta #s(literal 4 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))))))))) (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))))))) #s(literal 2 binary32)))))))>
#<alt (-.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 (sqrt.f32 (/.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32))) (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 5 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))))))) #s(literal 2 binary32)))))) (+.f32 (*.f32 #s(literal 1/16 binary32) (/.f32 (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (pow.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32))) (*.f32 (PI.f32) (*.f32 (pow.f32 (sqrt.f32 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#<alt #s(literal 1 binary32)>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta))>
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#<alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))))>
#<alt (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))) #s(literal 2 binary32)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32))))))))>
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#<alt (+.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32))))) (+.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 7 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32))))) (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -2 binary32))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))) (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))) (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))) (*.f32 #s(literal 1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32)))))))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))) (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))) (+.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 7 binary32)) (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 5 binary32))))) (*.f32 #s(literal 1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32))))))))>
#<alt #s(literal 1 binary32)>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) cosTheta))>
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#<alt (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 5 binary32)))) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32))))) (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -2 binary32))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 #s(literal -2 binary32))))))>
#<alt (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 5 binary32)))) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32))))) (+.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 7 binary32)))) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32))))) (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -2 binary32))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 #s(literal -2 binary32)))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 cosTheta) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 3 binary32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) cosTheta)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 5 binary32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32))))) (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 3 binary32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) cosTheta)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))))))>
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#<alt (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))>
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#<alt (+.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32))))) (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -2 binary32))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32)))))>
#<alt (+.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32))))) (+.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 7 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32))))) (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -2 binary32))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))) (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))) (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))) (*.f32 #s(literal 1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32)))))))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))) (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))) (+.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 7 binary32)) (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 5 binary32))))) (*.f32 #s(literal 1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32))))))))>
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#<alt (/.f32 #s(literal 1 binary32) c)>
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#<alt (/.f32 #s(literal 1 binary32) c)>
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#<alt (*.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)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (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)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))))) c)) #s(literal 1 binary32)) c))>
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#<alt (*.f32 cosTheta (sqrt.f32 (PI.f32)))>
#<alt (*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))))>
#<alt (*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) #s(literal 2 binary32)))) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))))>
#<alt (*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (-.f32 (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) #s(literal 2 binary32)))) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))) (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))) (*.f32 (PI.f32) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))) (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) #s(literal 2 binary32)))) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))))>
#<alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))))>
#<alt (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))) #s(literal 2 binary32)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32))))))))>
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#<alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))))))))>
#<alt (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 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 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))))))))>
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#<alt #s(literal 1 binary32)>
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#<alt (+.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32))))) (+.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 7 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32))))) (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -2 binary32))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))))>
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#<alt (*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (-.f32 (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) #s(literal 2 binary32)))) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))) (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))) (*.f32 (PI.f32) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))) (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) #s(literal 2 binary32)))) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))))>
#<alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))))>
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#<alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))))))))>
#<alt (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 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 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))))))))>
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#<alt (+.f32 (*.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)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (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)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (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)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))))))>
#<alt (+.f32 (*.f32 c (-.f32 (*.f32 c (+.f32 (*.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)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (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)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (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)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (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)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))))))>
#<alt (/.f32 #s(literal 1 binary32) c)>
#<alt (/.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)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))) c))) c)>
#<alt (/.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)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))) #s(literal 2 binary32)) (pow.f32 c #s(literal 2 binary32)))) (+.f32 (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))) (/.f32 #s(literal 1 binary32) c))) c)>
#<alt (/.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)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))) #s(literal 3 binary32)) (pow.f32 c #s(literal 3 binary32))))) (+.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)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))) #s(literal 2 binary32)) (pow.f32 c #s(literal 2 binary32)))) (+.f32 (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))) (/.f32 #s(literal 1 binary32) c)))) c)>
#<alt (/.f32 #s(literal 1 binary32) c)>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))) (/.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32)) c))>
#<alt (*.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)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (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)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))))) c)) #s(literal 1 binary32)) c))>
#<alt (*.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)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (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)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (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)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))))) c)) #s(literal 1 binary32)) c))>
#<alt #s(literal 1 binary32)>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) cosTheta))>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1 binary32))))>
#<alt (+.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))))>
#<alt (*.f32 (sqrt.f32 cosTheta) (sqrt.f32 #s(literal -2 binary32)))>
#<alt (*.f32 cosTheta (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -2 binary32))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 #s(literal -2 binary32)))))>
#<alt (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 5 binary32)))) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32))))) (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -2 binary32))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 #s(literal -2 binary32))))))>
#<alt (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 5 binary32)))) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32))))) (+.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 7 binary32)))) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32))))) (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -2 binary32))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 #s(literal -2 binary32)))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 cosTheta) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 3 binary32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) cosTheta)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 5 binary32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32))))) (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 3 binary32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) cosTheta)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 5 binary32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32))))) (+.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 7 binary32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 5 binary32))))) (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 3 binary32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) cosTheta)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))))))))>
#<alt (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))>
#<alt (/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))) cosTheta)>
#<alt (/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (+.f32 c (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))))) cosTheta)>
#<alt (/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (+.f32 c (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (+.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))))))) cosTheta)>
#<alt (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32))))))>
#<alt (+.f32 #s(literal 1 binary32) (+.f32 c (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))))>
#<alt (+.f32 #s(literal 1 binary32) (+.f32 c (+.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32))))) (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32))))))))>
#<alt (+.f32 #s(literal 1 binary32) (+.f32 c (+.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32))))) (+.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 7 binary32)) (PI.f32)))) (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32))))) (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))))))>
#<alt (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))))))>
#<alt (+.f32 #s(literal 1 binary32) (+.f32 c (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))))) (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 2 binary32))))))))>
#<alt (+.f32 #s(literal 1 binary32) (+.f32 c (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))))) (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 2 binary32))))) (*.f32 #s(literal 1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32)))))))))>
#<alt (+.f32 #s(literal 1 binary32) (+.f32 c (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))))) (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 2 binary32))))) (+.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 7 binary32)) (PI.f32)))) (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 5 binary32))))) (*.f32 #s(literal 1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32))))))))))>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))))>
#<alt (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))))>
#<alt (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))))>
#<alt (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))))>
#<alt c>
#<alt (*.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))) (/.f32 #s(literal 1 binary32) c))))>
#<alt (*.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))) (/.f32 #s(literal 1 binary32) c))))>
#<alt (*.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))) (/.f32 #s(literal 1 binary32) c))))>
#<alt c>
#<alt (*.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)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))) c)) #s(literal 1 binary32))))>
#<alt (*.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)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))) c)) #s(literal 1 binary32))))>
#<alt (*.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)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))) c)) #s(literal 1 binary32))))>
Calls

57 calls:

TimeVariablePointExpression
9.0ms
c
@0
(+ (* (/ (/ (sqrt (+ 1 (* cosTheta -2))) cosTheta) (sqrt (PI))) (pow (exp cosTheta) (neg cosTheta))) (+ 1 c))
6.0ms
cosTheta
@-inf
(/ 1 (+ 1 (+ c (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (pow (exp cosTheta) (neg cosTheta))))))
5.0ms
cosTheta
@inf
(/ 1 (+ 1 (+ c (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (pow (exp cosTheta) (neg cosTheta))))))
4.0ms
cosTheta
@0
(/ 1 (+ 1 (+ c (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (pow (exp cosTheta) (neg cosTheta))))))
3.0ms
c
@0
(/ 1 (+ (* (/ (/ (sqrt (+ 1 (* cosTheta -2))) cosTheta) (sqrt (PI))) (pow (exp cosTheta) (neg cosTheta))) (+ 1 c)))

rewrite269.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
352×log1p-expm1-u
352×expm1-log1p-u
347×add-exp-log
347×add-cube-cbrt
346×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
046718
1897659
Stop Event
1×node limit
Counts
16 → 338
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))))))
(-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)
(*.f32 (sqrt.f32 (PI.f32)) cosTheta)
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (pow.f32 (exp.f32 (neg.f32 cosTheta)) cosTheta) c)))
(/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))
(sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)
(/.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) cosTheta) (sqrt.f32 (PI.f32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) cosTheta) (sqrt.f32 (PI.f32))) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (+.f32 #s(literal 1 binary32) c)))
(sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))))
(fma.f32 (/.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) cosTheta) (sqrt.f32 (PI.f32))) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (+.f32 #s(literal 1 binary32) c))
Outputs
(-.f32 (exp.f32 (log1p.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (pow.f32 (PI.f32) #s(literal -1/2 binary32)))
(*.f32 (cbrt.f32 (pow.f32 (PI.f32) #s(literal -1 binary32))) (cbrt.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32))))
(*.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32))) (sqrt.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32))))
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal -1 binary32)) (pow.f32 (cbrt.f32 (sqrt.f32 (PI.f32))) #s(literal -1 binary32)))
(*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) #s(literal -1 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) #s(literal -1 binary32)))
(pow.f32 (PI.f32) #s(literal -1/2 binary32))
(pow.f32 (sqrt.f32 (PI.f32)) #s(literal -1 binary32))
(pow.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32))) #s(literal 2 binary32))
(pow.f32 (/.f32 (sqrt.f32 (PI.f32)) #s(literal 1 binary32)) #s(literal -1 binary32))
(log.f32 (exp.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)))))
(cbrt.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32))))
(log1p.f32 (expm1.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32))))
(exp.f32 (log.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32))))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (PI.f32))) #s(literal -1 binary32)))
(exp.f32 (*.f32 (log.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)))) #s(literal 1 binary32))
(/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))
(/.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) cosTheta) (sqrt.f32 (PI.f32)))
(/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)))) cosTheta)
(pow.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))) #s(literal 2 binary32))
(log.f32 (exp.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)))))
(cbrt.f32 (pow.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) #s(literal 3 binary32)) (pow.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) cosTheta) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) cosTheta) #s(literal 3 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) #s(literal 3 binary32))))
(cbrt.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) #s(literal 3/2 binary32)) (pow.f32 (*.f32 (sqrt.f32 (PI.f32)) cosTheta) #s(literal 3 binary32))))
(cbrt.f32 (/.f32 (pow.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) cosTheta) #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3/2 binary32))))
(expm1.f32 (log1p.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))))
(log1p.f32 (expm1.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))))
(exp.f32 (log.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))))
(exp.f32 (*.f32 (log.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))))
(*.f32 (cbrt.f32 (pow.f32 (fma.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c)) #s(literal -2 binary32))) (/.f32 #s(literal 1 binary32) (cbrt.f32 (fma.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c)))))
(*.f32 (pow.f32 (fma.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c)) #s(literal -1/2 binary32)) (pow.f32 (fma.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c)) #s(literal -1/2 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (pow.f32 (fma.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c)) #s(literal 2 binary32))) #s(literal -1 binary32)) (pow.f32 (cbrt.f32 (fma.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))) #s(literal -1 binary32)))
(*.f32 (pow.f32 (sqrt.f32 (fma.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))) #s(literal -1 binary32)) (pow.f32 (sqrt.f32 (fma.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))) #s(literal -1 binary32)))
(pow.f32 (fma.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c)) #s(literal -1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))) #s(literal 1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 (fma.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (pow.f32 (fma.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c)) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (/.f32 (fma.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32)) #s(literal -1 binary32))
(log.f32 (exp.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))))))
(cbrt.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c)))))
(log1p.f32 (expm1.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c)))))
(exp.f32 (neg.f32 (log1p.f32 (fma.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) c))))
(exp.f32 (*.f32 (log1p.f32 (fma.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) c)) #s(literal -1 binary32)))
(exp.f32 (*.f32 (neg.f32 (log1p.f32 (fma.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) c))) #s(literal 1 binary32)))
(+.f32 (-.f32 #s(literal 1 binary32) cosTheta) (neg.f32 cosTheta))
(+.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (fma.f32 (neg.f32 (sqrt.f32 cosTheta)) (sqrt.f32 cosTheta) cosTheta))
(+.f32 (fma.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta) (neg.f32 (*.f32 cosTheta #s(literal 1 binary32)))) (fma.f32 (neg.f32 cosTheta) #s(literal 1 binary32) (*.f32 cosTheta #s(literal 1 binary32))))
(+.f32 (fma.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta) (neg.f32 (*.f32 (cbrt.f32 cosTheta) (pow.f32 (cbrt.f32 cosTheta) #s(literal 2 binary32))))) (fma.f32 (neg.f32 (cbrt.f32 cosTheta)) (pow.f32 (cbrt.f32 cosTheta) #s(literal 2 binary32)) (*.f32 (cbrt.f32 cosTheta) (pow.f32 (cbrt.f32 cosTheta) #s(literal 2 binary32)))))
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(exp.f32 (*.f32 (neg.f32 (log.f32 (fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c)))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))))
(*.f32 (cbrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (cbrt.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)))))
(*.f32 (pow.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) #s(literal 1/4 binary32)))
(*.f32 (pow.f32 #s(literal 1 binary32) #s(literal 1/2 binary32)) (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))))
(*.f32 (pow.f32 (cbrt.f32 (pow.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) #s(literal 2 binary32))) #s(literal 1/2 binary32)) (pow.f32 (cbrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) #s(literal 1/2 binary32)))
(*.f32 (sqrt.f32 (cbrt.f32 (pow.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) #s(literal 2 binary32)))) (sqrt.f32 (cbrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)))))
(/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 cosTheta #s(literal -2 binary32)) #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))))
(/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) #s(literal -8 binary32)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (*.f32 cosTheta #s(literal -2 binary32)) #s(literal 2 binary32)) (*.f32 cosTheta #s(literal -2 binary32))))))
(pow.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) #s(literal 1/2 binary32))
(pow.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) #s(literal 3/2 binary32)) #s(literal 1/3 binary32))
(pow.f32 (pow.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) #s(literal 1/4 binary32)) #s(literal 2 binary32))
(log.f32 (exp.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))))))
(cbrt.f32 (pow.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) #s(literal 3/2 binary32)))
(expm1.f32 (log1p.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)))))
(hypot.f32 #s(literal 1 binary32) (sqrt.f32 (*.f32 cosTheta #s(literal -2 binary32))))
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(exp.f32 (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 cosTheta #s(literal -2 binary32)))))
(exp.f32 (*.f32 (log1p.f32 (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)))
(exp.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 cosTheta #s(literal -2 binary32)))) #s(literal 1 binary32)))
(+.f32 (*.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))) (+.f32 #s(literal 1 binary32) c))
(-.f32 (exp.f32 (log1p.f32 (fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c)))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c)))
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(exp.f32 (*.f32 (log.f32 (fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))) #s(literal 1 binary32)))

simplify788.0ms (3.7%)

Algorithm
1×egg-herbie
Rules
1092×associate-*r*
966×associate-*l*
934×fma-define
536×distribute-lft-in
524×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
097054009
1255751081
Stop Event
1×node limit
Counts
566 → 440
Calls
Call 1
Inputs
(*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))
(/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) cosTheta)
(/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))) cosTheta)
(/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))) cosTheta)
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32)))
(+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -2 binary32))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32))))
(+.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32))))) (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -2 binary32))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32)))))
(+.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32))))) (+.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 7 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32))))) (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -2 binary32))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32))))))
(*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))))
(+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))) (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))))
(+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))) (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))) (*.f32 #s(literal 1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32)))))))
(+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))) (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))) (+.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 7 binary32)) (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 5 binary32))))) (*.f32 #s(literal 1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 3 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)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))))
(+.f32 (*.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)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (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)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))))))
(+.f32 (*.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)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (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)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (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)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))))))
(+.f32 (*.f32 c (-.f32 (*.f32 c (+.f32 (*.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)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (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)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (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)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (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)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))))))
(/.f32 #s(literal 1 binary32) c)
(/.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)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))) c))) c)
(/.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)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))) #s(literal 2 binary32)) (pow.f32 c #s(literal 2 binary32)))) (+.f32 (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))) (/.f32 #s(literal 1 binary32) c))) c)
(/.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)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))) #s(literal 3 binary32)) (pow.f32 c #s(literal 3 binary32))))) (+.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)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))) #s(literal 2 binary32)) (pow.f32 c #s(literal 2 binary32)))) (+.f32 (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))) (/.f32 #s(literal 1 binary32) c)))) c)
(/.f32 #s(literal 1 binary32) c)
(*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))) (/.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32)) c))
(*.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)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (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)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))))) c)) #s(literal 1 binary32)) c))
(*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (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)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (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)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))))) c)) #s(literal 1 binary32)) c))
(*.f32 cosTheta (sqrt.f32 (PI.f32)))
(*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))))
(*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) #s(literal 2 binary32)))) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))))
(*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (-.f32 (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) #s(literal 2 binary32)))) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))) (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))) (*.f32 (PI.f32) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))) (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) #s(literal 2 binary32)))) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))))
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(/.f32 #s(literal 1 binary32) c)
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(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32)))
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#s(literal 1 binary32)
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(*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 cosTheta) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))))
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#s(literal 1 binary32)
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(/.f32 #s(literal 1 binary32) c)
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#s(literal 1 binary32)
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c
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c
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(pow.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) #s(literal 1/2 binary32))
(pow.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) #s(literal 3/2 binary32)) #s(literal 1/3 binary32))
(pow.f32 (pow.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) #s(literal 1/4 binary32)) #s(literal 2 binary32))
(log.f32 (exp.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))))))
(cbrt.f32 (pow.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) #s(literal 3/2 binary32)))
(expm1.f32 (log1p.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)))))
(hypot.f32 #s(literal 1 binary32) (sqrt.f32 (*.f32 cosTheta #s(literal -2 binary32))))
(log1p.f32 (expm1.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)))))
(exp.f32 (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 cosTheta #s(literal -2 binary32)))))
(exp.f32 (*.f32 (log1p.f32 (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)))
(exp.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 cosTheta #s(literal -2 binary32)))) #s(literal 1 binary32)))
(+.f32 (*.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))) (+.f32 #s(literal 1 binary32) c))
(-.f32 (exp.f32 (log1p.f32 (fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c)))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c)))
(*.f32 (cbrt.f32 (pow.f32 (fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c)) #s(literal 2 binary32))) (cbrt.f32 (fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))))
(*.f32 (sqrt.f32 (fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))) (sqrt.f32 (fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))))
(pow.f32 (fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))) #s(literal 2 binary32))
(log.f32 (exp.f32 (fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c)))))
(cbrt.f32 (pow.f32 (fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))))
(log1p.f32 (expm1.f32 (fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))))
(exp.f32 (log.f32 (fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))))
(exp.f32 (*.f32 (log.f32 (fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))) #s(literal 1 binary32)))
Outputs
(*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)
(/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) cosTheta)
(/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 (neg.f32 cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta)
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)
(/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))) cosTheta)
(/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 (*.f32 cosTheta #s(literal -1/2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))) cosTheta)
(/.f32 (fma.f32 cosTheta (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)
(/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))) cosTheta)
(/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (*.f32 #s(literal -1/2 binary32) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))) cosTheta)
(/.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1/2 binary32))) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32)))
(+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -2 binary32))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32))))
(fma.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 3 binary32))))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -2 binary32)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32))))
(fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32)) (*.f32 #s(literal 1/2 binary32) (/.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 3 binary32))) (PI.f32))) (sqrt.f32 #s(literal -2 binary32)))))
(+.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32))))) (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -2 binary32))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32)))))
(fma.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32)))) (fma.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 3 binary32))))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -2 binary32)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32)))))
(fma.f32 #s(literal -1/8 binary32) (*.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (sqrt.f32 #s(literal -2 binary32))) #s(literal -1/2 binary32)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32)) (*.f32 #s(literal 1/2 binary32) (/.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 3 binary32))) (PI.f32))) (sqrt.f32 #s(literal -2 binary32))))))
(+.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32))))) (+.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 7 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32))))) (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -2 binary32))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32))))))
(fma.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32)))) (fma.f32 #s(literal 1/16 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 7 binary32))))) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32)))) (fma.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 3 binary32))))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -2 binary32)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32))))))
(fma.f32 #s(literal -1/8 binary32) (*.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (sqrt.f32 #s(literal -2 binary32))) #s(literal -1/2 binary32)) (fma.f32 #s(literal 1/16 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 7 binary32))))) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32)) (*.f32 #s(literal 1/2 binary32) (/.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 3 binary32))) (PI.f32))) (sqrt.f32 #s(literal -2 binary32)))))))
(*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))))
(neg.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (neg.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))))
(+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))) (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))))
(fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))) (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 3 binary32))))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))))
(-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 3 binary32))) (PI.f32))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))))
(+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))) (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))) (*.f32 #s(literal 1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32)))))))
(fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))) (fma.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 3 binary32))))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))) (*.f32 #s(literal 1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32)))))))
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#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta))
(fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))
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(fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))
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(*.f32 #s(literal -2 binary32) cosTheta)
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(*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 (neg.f32 cosTheta) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) c))))))
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#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) cosTheta))
(-.f32 #s(literal 1 binary32) cosTheta)
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(+.f32 #s(literal 1 binary32) (*.f32 cosTheta (fma.f32 #s(literal -1/2 binary32) cosTheta #s(literal -1 binary32))))
(fma.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32))
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(fma.f32 cosTheta (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32))
(*.f32 (sqrt.f32 cosTheta) (sqrt.f32 #s(literal -2 binary32)))
(*.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 cosTheta))
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(*.f32 cosTheta (fma.f32 #s(literal 1/2 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 3 binary32)))) (sqrt.f32 #s(literal -2 binary32))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) cosTheta)))))
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(*.f32 cosTheta (fma.f32 #s(literal -1/8 binary32) (*.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 5 binary32)))) (sqrt.f32 #s(literal -2 binary32))) #s(literal -1/2 binary32)) (fma.f32 #s(literal 1/16 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 7 binary32)))) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 3 binary32)))) (sqrt.f32 #s(literal -2 binary32))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) cosTheta)))))))
(*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 cosTheta) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))))
(*.f32 (neg.f32 (sqrt.f32 cosTheta)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))
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(*.f32 (neg.f32 cosTheta) (fma.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 3 binary32))))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) cosTheta)))))
(*.f32 (fma.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) cosTheta)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 3 binary32)))) (*.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))) #s(literal 1/2 binary32)))) (neg.f32 cosTheta))
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(*.f32 (neg.f32 cosTheta) (fma.f32 #s(literal -1/8 binary32) (*.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 5 binary32))))) (fma.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 3 binary32))))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) cosTheta))))))
(*.f32 (fma.f32 #s(literal -1/8 binary32) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 5 binary32))))) (*.f32 #s(literal 2 binary32) (sqrt.f32 #s(literal 2 binary32)))) (fma.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) cosTheta)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 3 binary32)))) (*.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))) #s(literal 1/2 binary32))))) (neg.f32 cosTheta))
(*.f32 #s(literal -1 binary32) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 5 binary32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32))))) (+.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 7 binary32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 5 binary32))))) (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 3 binary32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) cosTheta)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))))))))
(*.f32 (neg.f32 cosTheta) (fma.f32 #s(literal -1/8 binary32) (*.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 5 binary32))))) (fma.f32 #s(literal 1/16 binary32) (*.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 5 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 7 binary32))))) (fma.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 3 binary32))))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) cosTheta)))))))
(*.f32 (fma.f32 #s(literal -1/8 binary32) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 5 binary32))))) (*.f32 #s(literal 2 binary32) (sqrt.f32 #s(literal 2 binary32)))) (fma.f32 #s(literal 1/16 binary32) (*.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 5 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 7 binary32))))) (fma.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) cosTheta)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 3 binary32)))) (*.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))) #s(literal 1/2 binary32)))))) (neg.f32 cosTheta))
(*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)
(/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) cosTheta)
(/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 (neg.f32 cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta)
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)
(/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))) cosTheta)
(/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 (*.f32 cosTheta #s(literal -1/2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))) cosTheta)
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#s(literal 1 binary32)
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(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32)))
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(hypot.f32 #s(literal 1 binary32) (sqrt.f32 (*.f32 cosTheta #s(literal -2 binary32))))
(sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)))
(log1p.f32 (expm1.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)))))
(sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)))
(exp.f32 (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 cosTheta #s(literal -2 binary32)))))
(sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)))
(exp.f32 (*.f32 (log1p.f32 (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)))
(sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)))
(exp.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 cosTheta #s(literal -2 binary32)))) #s(literal 1 binary32)))
(sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)))
(+.f32 (*.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))) (+.f32 #s(literal 1 binary32) c))
(fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))
(fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (+.f32 #s(literal 1 binary32) c))
(-.f32 (exp.f32 (log1p.f32 (fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c)))) #s(literal 1 binary32))
(expm1.f32 (log1p.f32 (fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))))
(expm1.f32 (log1p.f32 (fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (+.f32 #s(literal 1 binary32) c))))
(*.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c)))
(fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))
(fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (+.f32 #s(literal 1 binary32) c))
(*.f32 (cbrt.f32 (pow.f32 (fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c)) #s(literal 2 binary32))) (cbrt.f32 (fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))))
(*.f32 (cbrt.f32 (fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))) (cbrt.f32 (pow.f32 (fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c)) #s(literal 2 binary32))))
(*.f32 (cbrt.f32 (fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (+.f32 #s(literal 1 binary32) c))) (cbrt.f32 (pow.f32 (fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (+.f32 #s(literal 1 binary32) c)) #s(literal 2 binary32))))
(*.f32 (sqrt.f32 (fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))) (sqrt.f32 (fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))))
(fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))
(fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (+.f32 #s(literal 1 binary32) c))
(pow.f32 (fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32))
(fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))
(fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (+.f32 #s(literal 1 binary32) c))
(pow.f32 (cbrt.f32 (fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))) #s(literal 3 binary32))
(fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))
(fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (+.f32 #s(literal 1 binary32) c))
(pow.f32 (pow.f32 (fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))
(fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (+.f32 #s(literal 1 binary32) c))
(pow.f32 (sqrt.f32 (fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))) #s(literal 2 binary32))
(fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))
(fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (+.f32 #s(literal 1 binary32) c))
(log.f32 (exp.f32 (fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))))
(fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))
(fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (+.f32 #s(literal 1 binary32) c))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c)))))
(fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))
(fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (+.f32 #s(literal 1 binary32) c))
(cbrt.f32 (pow.f32 (fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c)) #s(literal 3 binary32)))
(fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))
(fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (+.f32 #s(literal 1 binary32) c))
(expm1.f32 (log1p.f32 (fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))))
(expm1.f32 (log1p.f32 (fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))))
(expm1.f32 (log1p.f32 (fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (+.f32 #s(literal 1 binary32) c))))
(log1p.f32 (expm1.f32 (fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))))
(fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))
(fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (+.f32 #s(literal 1 binary32) c))
(exp.f32 (log.f32 (fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))))
(fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))
(fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (+.f32 #s(literal 1 binary32) c))
(exp.f32 (*.f32 (log.f32 (fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))) #s(literal 1 binary32)))
(fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))
(fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (+.f32 #s(literal 1 binary32) c))

eval742.0ms (3.5%)

Compiler

Compiled 24678 to 17117 computations (30.6% saved)

prune180.0ms (0.8%)

Pruning

28 alts after pruning (28 fresh and 0 done)

PrunedKeptTotal
New60328631
Fresh000
Picked404
Done000
Total60728635
Accuracy
99.9%
Counts
635 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.0%
(pow.f32 (pow.f32 (fma.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c)) #s(literal -1/2 binary32)) #s(literal 2 binary32))
97.0%
(pow.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 (fma.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c)))) #s(literal 3 binary32))
98.2%
(pow.f32 (sqrt.f32 (fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))) #s(literal -2 binary32))
95.8%
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1 binary32)))) cosTheta) (sqrt.f32 (PI.f32))) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (+.f32 #s(literal 1 binary32) c)))
97.0%
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) #s(literal 1 binary32)))
93.9%
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (+.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) c)))) cosTheta))
▶98.0%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (pow.f32 (sqrt.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))) #s(literal 2 binary32)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
97.2%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (pow.f32 (cbrt.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))) #s(literal 3 binary32)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
98.4%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) cosTheta) (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
97.9%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
▶94.3%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
90.3%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
▶98.6%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
98.0%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
90.3%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
97.9%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (*.f32 (cbrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (cbrt.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
90.7%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (expm1.f32 (log1p.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
43.3%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (cbrt.f32 (/.f32 (pow.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) cosTheta) #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3/2 binary32)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
98.5%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (/.f32 (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta)) #s(literal -1 binary32)) (pow.f32 (exp.f32 (neg.f32 cosTheta)) cosTheta) c)))
94.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (pow.f32 (exp.f32 (neg.f32 cosTheta)) cosTheta) c)))
98.1%
(/.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)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))))))
97.0%
(/.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)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))))
▶57.6%
(/.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))) (/.f32 #s(literal 1 binary32) c)))))
▶5.4%
(/.f32 #s(literal 1 binary32) c)
94.4%
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) (+.f32 #s(literal 1 binary32) (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))
95.6%
(*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (-.f32 (*.f32 (neg.f32 cosTheta) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) c)) #s(literal 2 binary32))) (*.f32 (PI.f32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32))))) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) c)))))))
91.2%
(*.f32 cosTheta (sqrt.f32 (PI.f32)))
90.8%
(exp.f32 (neg.f32 (log1p.f32 (fma.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) c))))
Compiler

Compiled 1372 to 1090 computations (20.6% saved)

localize1.2s (5.5%)

Localize:

Found 16 expressions with local error:

NewAccuracyProgram
✓99.2%
(/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))
✓99.0%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (pow.f32 (sqrt.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))) #s(literal 2 binary32)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
98.9%
(*.f32 (sqrt.f32 (PI.f32)) cosTheta)
✓98.7%
(pow.f32 (sqrt.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))) #s(literal 2 binary32))
✓99.0%
(/.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))) (/.f32 #s(literal 1 binary32) c)))))
✓99.0%
(*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))
✓97.6%
(sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))
✓58.5%
(*.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))) (/.f32 #s(literal 1 binary32) c))))
✓99.6%
(*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))
✓99.0%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
✓98.3%
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)
✓96.9%
(sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))
✓99.8%
(sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)))
✓99.2%
(/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))
✓99.0%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
98.9%
(*.f32 (sqrt.f32 (PI.f32)) cosTheta)
Compiler

Compiled 551 to 288 computations (47.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 397.0ms
Operation ival-div, time spent: 83.0ms, 21.0% of total-time
Operation ival-mult, time spent: 83.0ms, 21.0% of total-time
Operation ival-sqrt, time spent: 66.0ms, 17.0% of total-time
Operation ival-add, time spent: 48.0ms, 12.0% of total-time
Operation ival-pow, time spent: 40.0ms, 10.0% of total-time
Operation ival-exp, time spent: 33.0ms, 8.0% of total-time
Operation ival-sub, time spent: 27.0ms, 7.0% of total-time
Operation const, time spent: 15.0ms, 4.0% of total-time
Operation ival-pi, time spent: 1.0ms, 0.0% of total-time
Operation ival-neg, time spent: 1.0ms, 0.0% of total-time

series157.0ms (0.7%)

Counts
14 → 213
Calls
Call 1
Inputs
#<alt (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))>
#<alt (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))>
#<alt (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)))>
#<alt (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))>
#<alt (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)>
#<alt (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))>
#<alt (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))>
#<alt (*.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))) (/.f32 #s(literal 1 binary32) c))))>
#<alt (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))>
#<alt (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))>
#<alt (/.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))) (/.f32 #s(literal 1 binary32) c)))))>
#<alt (pow.f32 (sqrt.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))) #s(literal 2 binary32))>
#<alt (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (pow.f32 (sqrt.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))) #s(literal 2 binary32)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))>
#<alt (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))>
Outputs
#<alt (/.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)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))))>
#<alt (+.f32 (*.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)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (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)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))))))>
#<alt (+.f32 (*.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)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (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)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (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)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))))))>
#<alt (+.f32 (*.f32 c (-.f32 (*.f32 c (+.f32 (*.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)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (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)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (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)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (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)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))))))>
#<alt (/.f32 #s(literal 1 binary32) c)>
#<alt (/.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)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))) c))) c)>
#<alt (/.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)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))) #s(literal 2 binary32)) (pow.f32 c #s(literal 2 binary32)))) (+.f32 (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))) (/.f32 #s(literal 1 binary32) c))) c)>
#<alt (/.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)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))) #s(literal 3 binary32)) (pow.f32 c #s(literal 3 binary32))))) (+.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)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))) #s(literal 2 binary32)) (pow.f32 c #s(literal 2 binary32)))) (+.f32 (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))) (/.f32 #s(literal 1 binary32) c)))) c)>
#<alt (/.f32 #s(literal 1 binary32) c)>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))) (/.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32)) c))>
#<alt (*.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)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (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)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))))) c)) #s(literal 1 binary32)) c))>
#<alt (*.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)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (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)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (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)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))))) c)) #s(literal 1 binary32)) c))>
#<alt (*.f32 cosTheta (sqrt.f32 (PI.f32)))>
#<alt (*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))))>
#<alt (*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) #s(literal 2 binary32)))) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))))>
#<alt (*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (-.f32 (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) #s(literal 2 binary32)))) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))) (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))) (*.f32 (PI.f32) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))) (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) #s(literal 2 binary32)))) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))))>
#<alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))))>
#<alt (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))) #s(literal 2 binary32)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32))))))))>
#<alt (-.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1/4 binary32) (/.f32 (*.f32 cosTheta (pow.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32))) (*.f32 (PI.f32) (*.f32 (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))) #s(literal 3 binary32)))))) (*.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32))) (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))) #s(literal 2 binary32))))))) (pow.f32 cosTheta #s(literal 4 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))))) (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))) #s(literal 2 binary32)))))))>
#<alt (-.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 cosTheta (PI.f32))) (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 (*.f32 #s(literal -1/4 binary32) (/.f32 (*.f32 cosTheta (pow.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32))) (*.f32 (PI.f32) (*.f32 (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))) #s(literal 3 binary32)))))) (*.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32))) (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))) #s(literal 2 binary32)))))))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))))))) (+.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 (sqrt.f32 (/.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32))) (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))) #s(literal 2 binary32)))))) (*.f32 #s(literal 1/16 binary32) (/.f32 (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (pow.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32))) (*.f32 (PI.f32) (*.f32 (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 4 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))) #s(literal 3 binary32)))))))) (pow.f32 cosTheta #s(literal 6 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))))) (+.f32 (*.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 cosTheta #s(literal 3 binary32)) (*.f32 (PI.f32) (*.f32 (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))) #s(literal 3 binary32))))))) (+.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))) #s(literal 2 binary32)))))) (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))) #s(literal 2 binary32)))))))))>
#<alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))))))))>
#<alt (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 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 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))))))))>
#<alt (-.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 (sqrt.f32 (/.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32))) (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))))))) #s(literal 2 binary32)))))) (*.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 cosTheta (pow.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32))) (*.f32 (PI.f32) (*.f32 (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))))))) #s(literal 3 binary32))))))) (pow.f32 cosTheta #s(literal 4 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))))))))) (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))))))) #s(literal 2 binary32)))))))>
#<alt (-.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 (sqrt.f32 (/.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32))) (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 5 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))))))) #s(literal 2 binary32)))))) (+.f32 (*.f32 #s(literal 1/16 binary32) (/.f32 (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (pow.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32))) (*.f32 (PI.f32) (*.f32 (pow.f32 (sqrt.f32 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#<alt (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal 3 binary32)) (pow.f32 c #s(literal 3 binary32))))) (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal 2 binary32)) (pow.f32 c #s(literal 2 binary32)))) (+.f32 (*.f32 (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) cosTheta)) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 #s(literal 1 binary32) c)))) c)>
#<alt (/.f32 #s(literal 1 binary32) c)>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 (*.f32 (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) cosTheta)) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32)) c))>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal 2 binary32)) c) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) c)) #s(literal 1 binary32)) c))>
#<alt (*.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 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal 3 binary32)) c) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal 2 binary32))) c)) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) c)) #s(literal 1 binary32)) c))>
#<alt (*.f32 cosTheta (sqrt.f32 (PI.f32)))>
#<alt (*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))))>
#<alt (*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (PI.f32))) (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) #s(literal 2 binary32))))))) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))))>
#<alt (*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (-.f32 (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (PI.f32))) (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) #s(literal 2 binary32)))))))) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))))) (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (PI.f32))) (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) #s(literal 2 binary32))))))) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))))>
#<alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 cosTheta (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))))))>
#<alt (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 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 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) #s(literal 3 binary32)))))) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 cosTheta (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))>
#<alt (-.f32 (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 (pow.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 3 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) #s(literal 4 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))))) (+.f32 (*.f32 #s(literal -1 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 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) #s(literal 3 binary32)))))) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 cosTheta (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))>
#<alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 cosTheta (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))))))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (pow.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)) (*.f32 cosTheta (*.f32 (PI.f32) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) #s(literal 3 binary32)))))) (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) #s(literal 2 binary32)))))) cosTheta)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))))))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 (pow.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 3 binary32)) (*.f32 cosTheta (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) #s(literal 4 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32)))))) (*.f32 #s(literal -1 binary32) (/.f32 (pow.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)) (*.f32 (PI.f32) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) #s(literal 3 binary32)))))) cosTheta)) (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) #s(literal 2 binary32)))))) cosTheta)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))))))>
#<alt (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))>
#<alt (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))>
#<alt (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))>
#<alt (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))>
#<alt (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))>
#<alt (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))>
#<alt (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))))>
#<alt (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))))>
#<alt (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))))>
#<alt (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))))>
#<alt c>
#<alt c>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 c (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) c)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 c (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) c)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 c (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) c)))))>
#<alt (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))>
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#<alt (/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (+.f32 (*.f32 c (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))) (*.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (/.f32 #s(literal 1 binary32) c))))))) cosTheta)>
#<alt (/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (+.f32 (*.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (/.f32 #s(literal 1 binary32) c)))) (*.f32 cosTheta (+.f32 (*.f32 c (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (*.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))) (*.f32 c (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))))) cosTheta)>
#<alt (*.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32))) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))))) (/.f32 #s(literal 1 binary32) c))))>
#<alt (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32))))) (*.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32))) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))))) (/.f32 #s(literal 1 binary32) c)))))>
#<alt (+.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32))))) (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32))))) (*.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32))) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))))) (/.f32 #s(literal 1 binary32) c))))))>
#<alt (+.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32))))) (+.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 7 binary32)) (PI.f32)))) (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32))))) (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32))))) (*.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32))) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))))) (/.f32 #s(literal 1 binary32) c)))))))>
#<alt (*.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))))) (/.f32 #s(literal 1 binary32) c))))>
#<alt (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 2 binary32))))) (*.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))))) (/.f32 #s(literal 1 binary32) c)))))>
#<alt (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 2 binary32))))) (+.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32))))) (*.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))))) (/.f32 #s(literal 1 binary32) c))))))>
#<alt (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 2 binary32))))) (+.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 7 binary32)) (PI.f32)))) (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 5 binary32))))) (+.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32))))) (*.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))))) (/.f32 #s(literal 1 binary32) c)))))))>
#<alt (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))>
#<alt (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))>
#<alt (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))>
#<alt (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))))>
#<alt (*.f32 (sqrt.f32 (/.f32 cosTheta (PI.f32))) (sqrt.f32 #s(literal -2 binary32)))>
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#<alt (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32))))) (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -2 binary32))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32))))))>
#<alt (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32))))) (+.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 7 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32))))) (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -2 binary32))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32)))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 cosTheta (PI.f32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32))))) (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32))))) (+.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 7 binary32)) (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 5 binary32))))) (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))))))))>
#<alt (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))>
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#<alt (/.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)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))))>
#<alt (+.f32 (*.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)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (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)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))))))>
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#<alt (/.f32 #s(literal 1 binary32) c)>
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#<alt (/.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)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))) #s(literal 3 binary32)) (pow.f32 c #s(literal 3 binary32))))) (+.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)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))) #s(literal 2 binary32)) (pow.f32 c #s(literal 2 binary32)))) (+.f32 (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))) (/.f32 #s(literal 1 binary32) c)))) c)>
#<alt (/.f32 #s(literal 1 binary32) c)>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (+.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)))) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))))) c))>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1 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)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 (-.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)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))))) (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))) #s(literal 1 binary32))) c))) c)) #s(literal 1 binary32)) c))>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1 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)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))))) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 (-.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)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))))) (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))) #s(literal 1 binary32))) (/.f32 (*.f32 (-.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)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))))) (pow.f32 (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))) #s(literal 1 binary32)) #s(literal 2 binary32))) c)) c))) c)) #s(literal 1 binary32)) c))>
#<alt (*.f32 cosTheta (sqrt.f32 (PI.f32)))>
#<alt (*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 c (*.f32 cosTheta (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (/.f32 #s(literal 1 binary32) c)))))))))>
#<alt (*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (*.f32 (pow.f32 c #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (/.f32 #s(literal 1 binary32) c))) #s(literal 2 binary32))) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))))) (*.f32 c (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))))) (*.f32 c (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (/.f32 #s(literal 1 binary32) c)))))))))>
#<alt (*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (-.f32 (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (*.f32 c (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (/.f32 #s(literal 1 binary32) c))) (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (*.f32 (pow.f32 c #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (/.f32 #s(literal 1 binary32) c))) #s(literal 2 binary32))) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))))) (*.f32 c (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))))) (sqrt.f32 (PI.f32)))) (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (*.f32 (pow.f32 c #s(literal 2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (/.f32 #s(literal 1 binary32) c))) (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))))) (*.f32 c (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (*.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))))) (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (*.f32 (pow.f32 c #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (/.f32 #s(literal 1 binary32) c))) #s(literal 2 binary32))) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))))) (*.f32 c (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))))) (*.f32 c (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (/.f32 #s(literal 1 binary32) c)))))))))>
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#<alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))))>
#<alt (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))) #s(literal 2 binary32)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32))))))))>
#<alt (-.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1/4 binary32) (/.f32 (*.f32 cosTheta (pow.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32))) (*.f32 (PI.f32) (*.f32 (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))) #s(literal 3 binary32)))))) (*.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32))) (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))) #s(literal 2 binary32))))))) (pow.f32 cosTheta #s(literal 4 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))))) (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))) #s(literal 2 binary32)))))))>
#<alt (-.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 cosTheta (PI.f32))) (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 (*.f32 #s(literal -1/4 binary32) (/.f32 (*.f32 cosTheta (pow.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32))) (*.f32 (PI.f32) (*.f32 (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))) #s(literal 3 binary32)))))) (*.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32))) (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))) #s(literal 2 binary32)))))))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))))))) (+.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 (sqrt.f32 (/.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32))) (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))) #s(literal 2 binary32)))))) (*.f32 #s(literal 1/16 binary32) (/.f32 (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (pow.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32))) (*.f32 (PI.f32) (*.f32 (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 4 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))) #s(literal 3 binary32)))))))) (pow.f32 cosTheta #s(literal 6 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))))) (+.f32 (*.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 cosTheta #s(literal 3 binary32)) (*.f32 (PI.f32) (*.f32 (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))) #s(literal 3 binary32))))))) (+.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))) #s(literal 2 binary32)))))) (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))) #s(literal 2 binary32)))))))))>
#<alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32)) (sqrt.f32 #s(literal 2 binary32))))))))>
#<alt (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32)) (sqrt.f32 #s(literal 2 binary32))))))) #s(literal 2 binary32)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32)) (sqrt.f32 #s(literal 2 binary32)))))))))>
#<alt (-.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32))) (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32))) (*.f32 (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32)) (sqrt.f32 #s(literal 2 binary32))))))) #s(literal 2 binary32)))))) (*.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 cosTheta (*.f32 (pow.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 4 binary32)))) (*.f32 (PI.f32) (*.f32 (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32)) (sqrt.f32 #s(literal 2 binary32))))))) #s(literal 3 binary32))))))) (pow.f32 cosTheta #s(literal 4 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32)) (sqrt.f32 #s(literal 2 binary32))))))))) (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32)) (sqrt.f32 #s(literal 2 binary32))))))) #s(literal 2 binary32)))))))>
#<alt (-.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 cosTheta (PI.f32))) (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32)) (+.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32))) (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32))) (*.f32 (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32)) (sqrt.f32 #s(literal 2 binary32))))))) 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#s(literal 2 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 4 binary32)))) (*.f32 (PI.f32) (*.f32 (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 4 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32)) (sqrt.f32 #s(literal 2 binary32))))))) #s(literal 3 binary32)))))))) (pow.f32 cosTheta #s(literal 6 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32)) (sqrt.f32 #s(literal 2 binary32))))))))) (+.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32))) (*.f32 (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32)) (sqrt.f32 #s(literal 2 binary32))))))) #s(literal 2 binary32)))))) (+.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (pow.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 4 binary32))) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (*.f32 (PI.f32) (*.f32 (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32)) (sqrt.f32 #s(literal 2 binary32))))))) #s(literal 3 binary32))))))) (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32)) (sqrt.f32 #s(literal 2 binary32))))))) #s(literal 2 binary32)))))))))>
#<alt (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))>
#<alt (/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) cosTheta)>
#<alt (/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))) cosTheta)>
#<alt (/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))) cosTheta)>
#<alt (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32)))>
#<alt (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -2 binary32))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32))))>
#<alt (+.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32))))) (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -2 binary32))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32)))))>
#<alt (+.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32))))) (+.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 7 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32))))) (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -2 binary32))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))) (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))) (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))) (*.f32 #s(literal 1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32)))))))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))) (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))) (+.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 7 binary32)) (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 5 binary32))))) (*.f32 #s(literal 1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32))))))))>
Calls

57 calls:

TimeVariablePointExpression
55.0ms
cosTheta
@-inf
(/ 1 (* c (+ 1 (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) (/ 1 c)))))
7.0ms
cosTheta
@inf
(/ 1 (* c (+ 1 (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) (/ 1 c)))))
7.0ms
cosTheta
@-inf
(/ 1 (+ (+ 1 c) (* (pow (sqrt (/ (sqrt (- 1 (+ cosTheta cosTheta))) (* (sqrt (PI)) cosTheta))) 2) (exp (* (neg cosTheta) cosTheta)))))
6.0ms
cosTheta
@inf
(/ 1 (+ (+ 1 c) (* (/ (* (- 1 cosTheta) (sqrt (/ 1 (PI)))) cosTheta) (exp (* (neg cosTheta) cosTheta)))))
2.0ms
c
@0
(* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))

rewrite159.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
431×log1p-expm1-u
431×expm1-log1p-u
422×add-exp-log
421×add-cube-cbrt
419×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
054765
11078721
Stop Event
1×node limit
Counts
14 → 269
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))
(sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))
(*.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))) (/.f32 #s(literal 1 binary32) c))))
(sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))
(*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))
(/.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))) (/.f32 #s(literal 1 binary32) c)))))
(pow.f32 (sqrt.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))) #s(literal 2 binary32))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (pow.f32 (sqrt.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))) #s(literal 2 binary32)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))
Outputs
(-.f32 (exp.f32 (log1p.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))))
(*.f32 (cbrt.f32 (pow.f32 (fma.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c)) #s(literal -2 binary32))) (/.f32 #s(literal 1 binary32) (cbrt.f32 (fma.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c)))))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c)))))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (fma.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))) #s(literal 2 binary32)) #s(literal -1 binary32)) (pow.f32 (cbrt.f32 (fma.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))) #s(literal -1 binary32)))
(*.f32 (pow.f32 (sqrt.f32 (fma.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))) #s(literal -1 binary32)) (pow.f32 (sqrt.f32 (fma.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))) #s(literal -1 binary32)))
(pow.f32 (fma.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c)) #s(literal -1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))) #s(literal 1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 (fma.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c)))) #s(literal 2 binary32))
(pow.f32 (/.f32 (fma.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32)) #s(literal -1 binary32))
(log.f32 (exp.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))))))
(cbrt.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c)))))
(log1p.f32 (expm1.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c)))))
(exp.f32 (neg.f32 (log1p.f32 (+.f32 c (*.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))))))
(exp.f32 (*.f32 (log1p.f32 (+.f32 c (*.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))) #s(literal -1 binary32)))
(exp.f32 (*.f32 (neg.f32 (log1p.f32 (+.f32 c (*.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))))
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(expm1.f32 (log1p.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))))
(log1p.f32 (expm1.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))))
(exp.f32 (log.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))))
(exp.f32 (*.f32 (log.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))) #s(literal 1 binary32)))

simplify487.0ms (2.3%)

Algorithm
1×egg-herbie
Rules
1414×times-frac
1178×distribute-lft-in
1014×*-commutative
420×+-commutative
346×sub-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0141754448
1426053038
Stop Event
1×node limit
Counts
482 → 632
Calls
Call 1
Inputs
(/.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)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))))
(+.f32 (*.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)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (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)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))))))
(+.f32 (*.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)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (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)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (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)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))))))
(+.f32 (*.f32 c (-.f32 (*.f32 c (+.f32 (*.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)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (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)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (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)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (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)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))))))
(/.f32 #s(literal 1 binary32) c)
(/.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)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))) c))) c)
(/.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)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))) #s(literal 2 binary32)) (pow.f32 c #s(literal 2 binary32)))) (+.f32 (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))) (/.f32 #s(literal 1 binary32) c))) c)
(/.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)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))) #s(literal 3 binary32)) (pow.f32 c #s(literal 3 binary32))))) (+.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)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))) #s(literal 2 binary32)) (pow.f32 c #s(literal 2 binary32)))) (+.f32 (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))) (/.f32 #s(literal 1 binary32) c)))) c)
(/.f32 #s(literal 1 binary32) c)
(*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))) (/.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32)) c))
(*.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)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (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)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))))) c)) #s(literal 1 binary32)) c))
(*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (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)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (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)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))))) c)) #s(literal 1 binary32)) c))
(*.f32 cosTheta (sqrt.f32 (PI.f32)))
(*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))))
(*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) #s(literal 2 binary32)))) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))))
(*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (-.f32 (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) #s(literal 2 binary32)))) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))) (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))) (*.f32 (PI.f32) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))) (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) #s(literal 2 binary32)))) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))))
(+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))) #s(literal 2 binary32)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32))))))))
(-.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1/4 binary32) (/.f32 (*.f32 cosTheta (pow.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32))) (*.f32 (PI.f32) (*.f32 (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))) #s(literal 3 binary32)))))) (*.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32))) (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))) #s(literal 2 binary32))))))) (pow.f32 cosTheta #s(literal 4 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))))) (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))) #s(literal 2 binary32)))))))
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(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))))))))
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(*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))
(/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) cosTheta)
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(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32)))
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#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) cosTheta))
(+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1 binary32))))
(+.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))))
(*.f32 (sqrt.f32 cosTheta) (sqrt.f32 #s(literal -2 binary32)))
(*.f32 cosTheta (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -2 binary32))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 #s(literal -2 binary32)))))
(*.f32 cosTheta (+.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 5 binary32)))) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32))))) (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -2 binary32))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 #s(literal -2 binary32))))))
(*.f32 cosTheta (+.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 5 binary32)))) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32))))) (+.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 7 binary32)))) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32))))) (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -2 binary32))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 #s(literal -2 binary32)))))))
(*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 cosTheta) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))))
(*.f32 #s(literal -1 binary32) (*.f32 cosTheta (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 3 binary32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) cosTheta)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))))))
(*.f32 #s(literal -1 binary32) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 5 binary32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32))))) (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 3 binary32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) cosTheta)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))))))
(*.f32 #s(literal -1 binary32) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 5 binary32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32))))) (+.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 7 binary32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 5 binary32))))) (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 3 binary32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) cosTheta)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))))))))
(*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))
(/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) cosTheta)
(/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) cosTheta)
(/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) cosTheta)
(*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))
(+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))
(+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))
(+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))
(*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))
(+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))
(+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))
(+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))
(+.f32 (*.f32 #s(literal -1 binary32) (/.f32 c (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))
(+.f32 (*.f32 c (-.f32 (/.f32 c (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal 2 binary32))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))
(+.f32 (*.f32 c (-.f32 (*.f32 c (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 c (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal 4 binary32)))) (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal 3 binary32))))) (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal 2 binary32))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))
(/.f32 #s(literal 1 binary32) c)
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) c))) c)
(/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal 2 binary32)) (pow.f32 c #s(literal 2 binary32)))) (+.f32 (*.f32 (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) cosTheta)) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 #s(literal 1 binary32) c))) c)
(/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal 3 binary32)) (pow.f32 c #s(literal 3 binary32))))) (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal 2 binary32)) (pow.f32 c #s(literal 2 binary32)))) (+.f32 (*.f32 (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) cosTheta)) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 #s(literal 1 binary32) c)))) c)
(/.f32 #s(literal 1 binary32) c)
(*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 (*.f32 (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) cosTheta)) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32)) c))
(*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal 2 binary32)) c) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) c)) #s(literal 1 binary32)) c))
(*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal 3 binary32)) c) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal 2 binary32))) c)) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) c)) #s(literal 1 binary32)) c))
(*.f32 cosTheta (sqrt.f32 (PI.f32)))
(*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))))
(*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (PI.f32))) (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) #s(literal 2 binary32))))))) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))))
(*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (-.f32 (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (PI.f32))) (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) #s(literal 2 binary32)))))))) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))))) (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (PI.f32))) (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) #s(literal 2 binary32))))))) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))))
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c
c
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(-.f32 (exp.f32 (log1p.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))))
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32)))))
(*.f32 (sqrt.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))) (sqrt.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))))
(*.f32 (cbrt.f32 (pow.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) #s(literal 2 binary32))) (cbrt.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))))
(pow.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) #s(literal 1 binary32))
(pow.f32 (sqrt.f32 (/.f32 (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 (cbrt.f32 (/.f32 (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 (pow.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) #s(literal 2 binary32)) #s(literal 1/2 binary32))
(pow.f32 (pow.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (/.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)))) #s(literal -1 binary32))
(log.f32 (exp.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))))))
(cbrt.f32 (pow.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) #s(literal 3/2 binary32)) (pow.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) #s(literal 3/2 binary32))))
(cbrt.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) #s(literal 3/2 binary32)) (pow.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32))) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))))
(log1p.f32 (expm1.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))))
(exp.f32 (log.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))))
(exp.f32 (*.f32 (log.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))) #s(literal 1 binary32)))
Outputs
(/.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)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))))))
(+.f32 (*.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)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (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)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))))))
(fma.f32 #s(literal -1 binary32) (/.f32 c (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))))) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))))))
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))))) (/.f32 c (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))))) #s(literal 2 binary32))))
(+.f32 (*.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)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (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)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (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)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))))))
(fma.f32 c (-.f32 (/.f32 c (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))))) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))))) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))))))
(fma.f32 c (+.f32 (/.f32 c (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))))) #s(literal 3 binary32))) (/.f32 #s(literal -1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))))) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))))))
(+.f32 (*.f32 c (-.f32 (*.f32 c (+.f32 (*.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)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (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)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (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)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (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)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))))))
(fma.f32 c (fma.f32 c (fma.f32 #s(literal -1 binary32) (/.f32 c (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))))) #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))))) #s(literal 3 binary32)))) (neg.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))))) #s(literal 2 binary32))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))))))
(fma.f32 c (fma.f32 c (-.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))))) #s(literal 3 binary32))) (/.f32 c (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))))) #s(literal 4 binary32)))) (/.f32 #s(literal -1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))))) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))))))
(/.f32 #s(literal 1 binary32) c)
(/.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)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))) c))) c)
(/.f32 (+.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))))) c))) c)
(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (neg.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) #s(literal -1 binary32)) c)) c)
(/.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)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))) #s(literal 2 binary32)) (pow.f32 c #s(literal 2 binary32)))) (+.f32 (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))) (/.f32 #s(literal 1 binary32) c))) c)
(/.f32 (+.f32 #s(literal 1 binary32) (-.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))))) #s(literal 2 binary32)) (pow.f32 c #s(literal 2 binary32))) (fma.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 cosTheta c)) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 #s(literal 1 binary32) c)))) c)
(/.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)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))) #s(literal 3 binary32)) (pow.f32 c #s(literal 3 binary32))))) (+.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)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))) #s(literal 2 binary32)) (pow.f32 c #s(literal 2 binary32)))) (+.f32 (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))) (/.f32 #s(literal 1 binary32) c)))) c)
(/.f32 (+.f32 #s(literal 1 binary32) (-.f32 (neg.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (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 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))))) #s(literal 2 binary32)) (pow.f32 c #s(literal 2 binary32))) (fma.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 cosTheta c)) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 #s(literal 1 binary32) c))))) c)
(/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))))) #s(literal 3 binary32)) (pow.f32 c #s(literal 3 binary32)))) (-.f32 (fma.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 cosTheta c)) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 #s(literal 1 binary32) c)) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))))) #s(literal 2 binary32)) (pow.f32 c #s(literal 2 binary32))))) c)
(/.f32 #s(literal 1 binary32) c)
(*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))) (/.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32)) c))
(neg.f32 (/.f32 (+.f32 (fma.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 cosTheta c)) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 #s(literal 1 binary32) c)) #s(literal -1 binary32)) c))
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#s(literal 1 binary32)
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(-.f32 #s(literal 1 binary32) cosTheta)
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(*.f32 (neg.f32 cosTheta) (fma.f32 #s(literal -1/8 binary32) (*.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 #s(literal 2 binary32) (sqrt.f32 #s(literal 2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 5 binary32))))) (fma.f32 #s(literal 1/16 binary32) (*.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 5 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 7 binary32))))) (fma.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 3 binary32))))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) cosTheta)))))))
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(/.f32 (-.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta)
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(/.f32 (-.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta)
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(/.f32 (-.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta)
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(sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))
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c
c
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(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)
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(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c)))
(log.f32 (exp.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c)))))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))))))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c)))
(cbrt.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))) #s(literal 3 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c)))
(expm1.f32 (log1p.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c)))))
(expm1.f32 (log1p.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c)))))
(log1p.f32 (expm1.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c)))))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c)))
(exp.f32 (neg.f32 (log1p.f32 (+.f32 c (*.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))))))
(exp.f32 (neg.f32 (log1p.f32 (+.f32 c (*.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))))))
(exp.f32 (*.f32 (log1p.f32 (+.f32 c (*.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))) #s(literal -1 binary32)))
(exp.f32 (neg.f32 (log1p.f32 (+.f32 c (*.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))))))
(exp.f32 (*.f32 (neg.f32 (log1p.f32 (+.f32 c (*.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))))) #s(literal 1 binary32)))
(exp.f32 (neg.f32 (log1p.f32 (+.f32 c (*.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))))))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))))) #s(literal 1 binary32))
(expm1.f32 (log1p.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))))
(*.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))))
(/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32)))))
(/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))
(*.f32 (sqrt.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))) (sqrt.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))))
(/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))
(*.f32 (cbrt.f32 (pow.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) #s(literal 2 binary32))) (cbrt.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))))
(*.f32 (cbrt.f32 (pow.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) #s(literal 2 binary32))) (cbrt.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))))
(pow.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) #s(literal 1 binary32))
(/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))
(pow.f32 (sqrt.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))) #s(literal 2 binary32))
(/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))
(pow.f32 (cbrt.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))) #s(literal 3 binary32))
(/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))
(pow.f32 (pow.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) #s(literal 2 binary32)) #s(literal 1/2 binary32))
(sqrt.f32 (pow.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) #s(literal 2 binary32)))
(fabs.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))))
(pow.f32 (pow.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))
(pow.f32 (/.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)))) #s(literal -1 binary32))
(/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))
(log.f32 (exp.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))))
(/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))))))
(/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))
(cbrt.f32 (pow.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) #s(literal 3 binary32)))
(/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) #s(literal 3/2 binary32)) (pow.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) #s(literal 3/2 binary32))))
(/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))
(cbrt.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) #s(literal 3/2 binary32)) (pow.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32))) #s(literal 3 binary32))))
(cbrt.f32 (/.f32 (pow.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) #s(literal 3/2 binary32)) (pow.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32))) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))))
(expm1.f32 (log1p.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))))
(log1p.f32 (expm1.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))))
(/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))
(exp.f32 (log.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))))
(/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))
(exp.f32 (*.f32 (log.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))) #s(literal 1 binary32)))
(/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))

eval960.0ms (4.5%)

Compiler

Compiled 40885 to 30303 computations (25.9% saved)

prune221.0ms (1%)

Pruning

38 alts after pruning (36 fresh and 2 done)

PrunedKeptTotal
New78225807
Fresh121123
Picked325
Done000
Total79738835
Accuracy
100.0%
Counts
835 → 38
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.0%
(pow.f32 (pow.f32 (fma.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c)) #s(literal -1/2 binary32)) #s(literal 2 binary32))
93.4%
(pow.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 (fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) cosTheta)) (+.f32 #s(literal 1 binary32) c)))) #s(literal 3 binary32))
94.3%
(pow.f32 (sqrt.f32 (fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) cosTheta)) (+.f32 #s(literal 1 binary32) c))) #s(literal -2 binary32))
93.9%
(pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) cosTheta)) (+.f32 #s(literal 1 binary32) c)))) #s(literal 2 binary32))
57.3%
(pow.f32 (cbrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 #s(literal 1 binary32) c))))) #s(literal 3 binary32))
57.6%
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 cosTheta c)) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 #s(literal 1 binary32) c)))) c)
▶95.8%
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1 binary32)))) cosTheta) (sqrt.f32 (PI.f32))) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (+.f32 #s(literal 1 binary32) c)))
▶93.9%
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (+.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) c)))) cosTheta))
90.2%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (pow.f32 (sqrt.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) #s(literal 2 binary32)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
90.1%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (pow.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal 2 binary32)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
93.5%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (pow.f32 (cbrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) cosTheta))) #s(literal 3 binary32)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
▶98.4%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) cosTheta) (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
98.1%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (sqrt.f32 (PI.f32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
94.9%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
96.7%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.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)))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
96.0%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1 binary32)))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
94.3%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal -1/2 binary32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
94.3%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 (cbrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (cbrt.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32))))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
90.3%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
97.5%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) #s(literal 3 binary32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
90.8%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
98.0%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
90.3%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
94.3%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
94.3%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
87.1%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (expm1.f32 (log1p.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) cosTheta)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
98.1%
(/.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)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))))))
▶97.0%
(/.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)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))))
53.8%
(/.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (-.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 cosTheta c))) cosTheta) (/.f32 #s(literal 1 binary32) c)))))
53.7%
(/.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 cosTheta c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (*.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta) (/.f32 #s(literal 1 binary32) c)))))
50.9%
(/.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c)) (/.f32 #s(literal 1 binary32) c)))))
✓57.6%
(/.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))) (/.f32 #s(literal 1 binary32) c)))))
50.8%
(/.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 #s(literal 1 binary32) c)))))
✓5.4%
(/.f32 #s(literal 1 binary32) c)
94.4%
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) (+.f32 #s(literal 1 binary32) (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))
▶91.2%
(*.f32 cosTheta (sqrt.f32 (PI.f32)))
57.7%
(*.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 #s(literal 1 binary32) c)))))
87.1%
(exp.f32 (neg.f32 (log1p.f32 (+.f32 c (*.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) cosTheta)))))))
Compiler

Compiled 1800 to 1443 computations (19.8% saved)

localize977.0ms (4.6%)

Localize:

Found 17 expressions with local error:

NewAccuracyProgram
✓99.8%
(fma.f32 (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1 binary32)))) cosTheta) (sqrt.f32 (PI.f32))) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (+.f32 #s(literal 1 binary32) c))
✓99.8%
(*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1 binary32)))
✓99.0%
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1 binary32)))) cosTheta) (sqrt.f32 (PI.f32))) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (+.f32 #s(literal 1 binary32) c)))
✓98.8%
(/.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1 binary32)))) cosTheta) (sqrt.f32 (PI.f32)))
✓99.7%
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))
✓99.1%
(/.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)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))))
✓98.1%
(*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))
✓97.6%
(sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))
✓99.0%
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (+.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) c)))) cosTheta))
✓98.2%
(/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (+.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) c)))) cosTheta)
✓97.2%
(+.f32 #s(literal 1 binary32) (+.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) c))
96.9%
(sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))
✓98.9%
(*.f32 cosTheta (sqrt.f32 (PI.f32)))
✓99.8%
(*.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) cosTheta) (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))
99.8%
(sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)))
✓99.0%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) cosTheta) (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
✓98.8%
(/.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) cosTheta) (sqrt.f32 (PI.f32)))
Compiler

Compiled 445 to 272 computations (38.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 385.0ms
Operation ival-div, time spent: 85.0ms, 22.0% of total-time
Operation ival-mult, time spent: 78.0ms, 20.0% of total-time
Operation ival-sqrt, time spent: 47.0ms, 12.0% of total-time
Operation ival-add, time spent: 42.0ms, 11.0% of total-time
Operation ival-pow, time spent: 38.0ms, 10.0% of total-time
Operation ival-sub, time spent: 34.0ms, 9.0% of total-time
Operation ival-exp, time spent: 29.0ms, 8.0% of total-time
Operation const, time spent: 14.0ms, 4.0% of total-time
Operation ival-neg, time spent: 10.0ms, 3.0% of total-time
Operation composed, time spent: 8.0ms, 2.0% of total-time
Operation ival-pi, time spent: 1.0ms, 0.0% of total-time

series79.0ms (0.4%)

Counts
15 → 225
Calls
Call 1
Inputs
#<alt (/.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) cosTheta) (sqrt.f32 (PI.f32)))>
#<alt (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) cosTheta) (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))>
#<alt (*.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) cosTheta) (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))>
#<alt (*.f32 cosTheta (sqrt.f32 (PI.f32)))>
#<alt (+.f32 #s(literal 1 binary32) (+.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) c))>
#<alt (/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (+.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) c)))) cosTheta)>
#<alt (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (+.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) c)))) cosTheta))>
#<alt (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))>
#<alt (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))>
#<alt (/.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)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))))>
#<alt (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))>
#<alt (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1 binary32)))) cosTheta) (sqrt.f32 (PI.f32)))>
#<alt (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1 binary32)))) cosTheta) (sqrt.f32 (PI.f32))) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (+.f32 #s(literal 1 binary32) c)))>
#<alt (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1 binary32)))>
#<alt (fma.f32 (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1 binary32)))) cosTheta) (sqrt.f32 (PI.f32))) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (+.f32 #s(literal 1 binary32) c))>
Outputs
#<alt (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))>
#<alt (/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) cosTheta)>
#<alt (/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))) cosTheta)>
#<alt (/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))) cosTheta)>
#<alt (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32)))>
#<alt (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -2 binary32))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32))))>
#<alt (+.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32))))) (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -2 binary32))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32)))))>
#<alt (+.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32))))) (+.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 7 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32))))) (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -2 binary32))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))) (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))) (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))) (*.f32 #s(literal 1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32)))))))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))) (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))) (+.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 7 binary32)) (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 5 binary32))))) (*.f32 #s(literal 1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32))))))))>
#<alt (/.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)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))))>
#<alt (+.f32 (*.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)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (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)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))))))>
#<alt (+.f32 (*.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)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (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)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (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)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))))))>
#<alt (+.f32 (*.f32 c (-.f32 (*.f32 c (+.f32 (*.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)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (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)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (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)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (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)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))))))>
#<alt (/.f32 #s(literal 1 binary32) c)>
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#<alt (/.f32 #s(literal 1 binary32) c)>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))) (/.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32)) c))>
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#<alt (*.f32 cosTheta (sqrt.f32 (PI.f32)))>
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#<alt (*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) #s(literal 2 binary32)))) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))))>
#<alt (*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (-.f32 (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) #s(literal 2 binary32)))) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))) (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))) (*.f32 (PI.f32) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))) (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) #s(literal 2 binary32)))) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))))>
#<alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))))>
#<alt (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))) #s(literal 2 binary32)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32))))))))>
#<alt (-.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1/4 binary32) (/.f32 (*.f32 cosTheta (pow.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32))) (*.f32 (PI.f32) (*.f32 (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))) #s(literal 3 binary32)))))) (*.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32))) (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))) #s(literal 2 binary32))))))) (pow.f32 cosTheta #s(literal 4 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))))) (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))) #s(literal 2 binary32)))))))>
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#<alt (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))>
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#<alt (/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (+.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))))) cosTheta)>
#<alt (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32))))>
#<alt (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))>
#<alt (+.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32))))) (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32))))))>
#<alt (+.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32))))) (+.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 7 binary32)) (PI.f32)))) (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32))))) (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))))) (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 2 binary32))))))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))))) (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 2 binary32))))) (*.f32 #s(literal 1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32)))))))>
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#<alt (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))>
#<alt (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))>
#<alt (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))>
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#<alt c>
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#<alt (*.f32 c (-.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) c)) (*.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))>
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#<alt c>
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#<alt (*.f32 #s(literal -1 binary32) (*.f32 c (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) c)) #s(literal 1 binary32))))>
#<alt (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))>
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#<alt (/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) cosTheta)>
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#<alt (-.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))>
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#<alt c>
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#<alt (*.f32 c (-.f32 (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 #s(literal 1 binary32) c))) (*.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))>
#<alt (*.f32 c (-.f32 (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 #s(literal 1 binary32) c))) (*.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))>
#<alt c>
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#<alt (*.f32 cosTheta (sqrt.f32 (PI.f32)))>
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#<alt (*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (-.f32 (*.f32 (*.f32 cosTheta (pow.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal 2 binary32))) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)))) (*.f32 (PI.f32) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))>
#<alt (*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (-.f32 (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (*.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (pow.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal 3 binary32))))) (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (pow.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal 2 binary32)))))) (*.f32 (PI.f32) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))>
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#<alt (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))>
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#<alt (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (pow.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (pow.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal 3 binary32))))) (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (pow.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal 4 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32)))))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal 3 binary32))))) cosTheta)) (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal 2 binary32)))))) cosTheta)) (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))>
#<alt (/.f32 cosTheta (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 c (pow.f32 cosTheta #s(literal 2 binary32))) (pow.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) #s(literal 2 binary32)))) (/.f32 cosTheta (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))>
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#<alt (/.f32 #s(literal 1 binary32) c)>
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#<alt (/.f32 #s(literal 1 binary32) c)>
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#<alt (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (-.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))) (*.f32 c cosTheta)))) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) c)) #s(literal 1 binary32)) c))>
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#<alt (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))>
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#<alt (*.f32 cosTheta (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -2 binary32))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32)))))>
#<alt (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32))))) (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -2 binary32))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32))))))>
#<alt (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32))))) (+.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 7 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32))))) (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -2 binary32))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32)))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 cosTheta (PI.f32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32))))) (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32))))) (+.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 7 binary32)) (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 5 binary32))))) (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))))))))>
#<alt (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))>
#<alt (/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) cosTheta)>
#<alt (/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))) cosTheta)>
#<alt (/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (+.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))))) cosTheta)>
#<alt (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32))))>
#<alt (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))>
#<alt (+.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32))))) (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32))))))>
#<alt (+.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32))))) (+.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 7 binary32)) (PI.f32)))) (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32))))) (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))))) (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 2 binary32))))))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))))) (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 2 binary32))))) (*.f32 #s(literal 1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32)))))))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))))) (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 2 binary32))))) (+.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 7 binary32)) (PI.f32)))) (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 5 binary32))))) (*.f32 #s(literal 1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32))))))))>
#<alt (*.f32 cosTheta (sqrt.f32 (PI.f32)))>
#<alt (*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))))>
#<alt (*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal 2 binary32)))) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))))>
#<alt (*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (-.f32 (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal 2 binary32)))) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))) (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))) (*.f32 (PI.f32) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))) (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal 2 binary32)))) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))))>
#<alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32))))))>
#<alt (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32))))) #s(literal 2 binary32)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))))>
#<alt (-.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1/4 binary32) (/.f32 (*.f32 cosTheta (pow.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32))) (*.f32 (PI.f32) (*.f32 (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32))))) #s(literal 3 binary32)))))) (*.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32))) (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32))))) #s(literal 2 binary32))))))) (pow.f32 cosTheta #s(literal 4 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32))))))) (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32))))) #s(literal 2 binary32)))))))>
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#<alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))))))>
#<alt (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))))) #s(literal 2 binary32)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))))))))>
#<alt (-.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 (sqrt.f32 (/.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32))) (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))))) #s(literal 2 binary32)))))) (*.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 cosTheta (pow.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32))) (*.f32 (PI.f32) (*.f32 (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))))) #s(literal 3 binary32))))))) (pow.f32 cosTheta #s(literal 4 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))))))) (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))))) #s(literal 2 binary32)))))))>
#<alt (-.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 (sqrt.f32 (/.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32))) (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 5 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))))) #s(literal 2 binary32)))))) (+.f32 (*.f32 #s(literal 1/16 binary32) (/.f32 (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (pow.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32))) (*.f32 (PI.f32) (*.f32 (pow.f32 (sqrt.f32 #s(literal 2 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#<alt (/.f32 #s(literal 1 binary32) (PI.f32))>
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#<alt (*.f32 #s(literal -2 binary32) (/.f32 cosTheta (PI.f32)))>
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#<alt (*.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (PI.f32)))))>
#<alt (*.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (PI.f32)))))>
#<alt (*.f32 #s(literal -2 binary32) (/.f32 cosTheta (PI.f32)))>
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#<alt (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))))))>
#<alt (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))>
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#<alt (/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))) cosTheta)>
#<alt (/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))) cosTheta)>
#<alt (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))>
#<alt (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))>
#<alt (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (+.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))>
#<alt (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (+.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))>
#<alt (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (+.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta)) (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta)) (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))>
#<alt (*.f32 cosTheta (sqrt.f32 (PI.f32)))>
#<alt (*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))))>
#<alt (*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32))) (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) #s(literal 2 binary32))))))) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))))>
#<alt (*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (-.f32 (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (+.f32 (*.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32))) (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) #s(literal 2 binary32)))))))) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))))) (+.f32 (*.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32))) (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) #s(literal 2 binary32))))))) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))))>
#<alt (*.f32 #s(literal -2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))) (sqrt.f32 (PI.f32))))>
#<alt (/.f32 (+.f32 (*.f32 #s(literal -4 binary32) (/.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))))) (*.f32 cosTheta (pow.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32))))) (*.f32 #s(literal -2 binary32) (*.f32 (sqrt.f32 (PI.f32)) (/.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) cosTheta)>
#<alt (/.f32 (-.f32 (+.f32 (*.f32 #s(literal -2 binary32) (*.f32 (sqrt.f32 (PI.f32)) (/.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal 4 binary32) (*.f32 (sqrt.f32 (PI.f32)) (/.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))) (*.f32 #s(literal 8 binary32) (*.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) #s(literal 2 binary32)) (pow.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 3 binary32)))))) (pow.f32 cosTheta #s(literal 2 binary32))))) (*.f32 #s(literal 4 binary32) (/.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))))) (*.f32 cosTheta (pow.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)))))) cosTheta)>
#<alt (/.f32 (-.f32 (+.f32 (*.f32 #s(literal -2 binary32) (*.f32 (sqrt.f32 (PI.f32)) (/.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal 2 binary32) (*.f32 (sqrt.f32 (PI.f32)) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) (+.f32 (*.f32 #s(literal 4 binary32) (*.f32 (sqrt.f32 (PI.f32)) (/.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))) (*.f32 #s(literal 8 binary32) (*.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) #s(literal 2 binary32)) (pow.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 3 binary32))))))) (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))) (*.f32 #s(literal 8 binary32) (/.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))))) (pow.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32))))) (pow.f32 cosTheta #s(literal 3 binary32))))) (+.f32 (*.f32 #s(literal 4 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))) (sqrt.f32 (PI.f32)))) (+.f32 (*.f32 #s(literal 4 binary32) (/.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))))) (*.f32 cosTheta (pow.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32))))) (*.f32 #s(literal 8 binary32) (*.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (pow.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 3 binary32)))) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)))))))) cosTheta)>
#<alt (*.f32 #s(literal -2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))) (sqrt.f32 (PI.f32))))>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal 2 binary32) (*.f32 (sqrt.f32 (PI.f32)) (/.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))) (*.f32 #s(literal 4 binary32) (/.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))))) (*.f32 cosTheta (pow.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)))))) cosTheta))>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 (*.f32 #s(literal -8 binary32) (*.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) #s(literal 2 binary32)) (*.f32 cosTheta (pow.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 3 binary32)))) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))))) (*.f32 #s(literal -4 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))) (sqrt.f32 (PI.f32))))) (*.f32 #s(literal 4 binary32) (/.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))))) (pow.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32))))) cosTheta)) (*.f32 #s(literal 2 binary32) (*.f32 (sqrt.f32 (PI.f32)) (/.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) cosTheta))>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 (*.f32 #s(literal -2 binary32) (*.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) (+.f32 (*.f32 #s(literal -8 binary32) (*.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) #s(literal 2 binary32)) (pow.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 3 binary32))))) (*.f32 #s(literal -4 binary32) (*.f32 (sqrt.f32 (PI.f32)) (/.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))))) (*.f32 cosTheta (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))) (sqrt.f32 (PI.f32)))) (*.f32 #s(literal 8 binary32) (/.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))))) (*.f32 cosTheta (pow.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)))))) (+.f32 (*.f32 #s(literal -8 binary32) (*.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) #s(literal 2 binary32)) (pow.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 3 binary32))))) (*.f32 #s(literal -4 binary32) (*.f32 (sqrt.f32 (PI.f32)) (/.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))))) cosTheta)) (*.f32 #s(literal 4 binary32) (/.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))))) (pow.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32))))) cosTheta)) (*.f32 #s(literal 2 binary32) (*.f32 (sqrt.f32 (PI.f32)) (/.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) cosTheta))>
#<alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1 binary32))))) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 c (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1 binary32))))) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1 binary32))))) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))>
#<alt (+.f32 (*.f32 c (-.f32 (/.f32 c (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1 binary32))))) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1 binary32))))) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal 2 binary32))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1 binary32))))) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))>
#<alt (+.f32 (*.f32 c (-.f32 (*.f32 c (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 c (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1 binary32))))) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal 4 binary32)))) (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1 binary32))))) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal 3 binary32))))) (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1 binary32))))) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal 2 binary32))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1 binary32))))) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))>
#<alt (/.f32 #s(literal 1 binary32) c)>
#<alt (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1 binary32))))) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) c))) c)>
#<alt (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1 binary32))))) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal 2 binary32)) (pow.f32 c #s(literal 2 binary32)))) (+.f32 (*.f32 (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1 binary32))))) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 #s(literal 1 binary32) c))) c)>
#<alt (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1 binary32))))) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal 3 binary32)) (pow.f32 c #s(literal 3 binary32))))) (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1 binary32))))) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal 2 binary32)) (pow.f32 c #s(literal 2 binary32)))) (+.f32 (*.f32 (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1 binary32))))) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 #s(literal 1 binary32) c)))) c)>
#<alt (/.f32 #s(literal 1 binary32) c)>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 (*.f32 (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1 binary32))))) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32)) c))>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1 binary32))))) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal 2 binary32)) c) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1 binary32))))) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) c)) #s(literal 1 binary32)) c))>
#<alt (*.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 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1 binary32))))) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal 3 binary32)) c) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1 binary32))))) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal 2 binary32))) c)) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1 binary32))))) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) c)) #s(literal 1 binary32)) c))>
#<alt (*.f32 #s(literal -1 binary32) cosTheta)>
#<alt (*.f32 #s(literal -1/2 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) cosTheta))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) cosTheta))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) cosTheta))))>
#<alt (*.f32 #s(literal -1/2 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) cosTheta))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) cosTheta))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) cosTheta))))>
#<alt (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))>
#<alt (/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))) cosTheta)>
#<alt (/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (+.f32 c (+.f32 (*.f32 #s(literal -3/2 binary32) (*.f32 cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))) cosTheta)>
#<alt (/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (+.f32 c (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -3/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))))) cosTheta)>
#<alt (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 cosTheta (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))>
#<alt (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) (/.f32 c cosTheta)))))>
#<alt (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))) (+.f32 (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) (/.f32 c cosTheta))))))>
#<alt (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))) (+.f32 (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) (/.f32 c cosTheta))))))>
#<alt (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 cosTheta (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) cosTheta)) (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))) cosTheta)) (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))) cosTheta)) (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))))>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1 binary32))))) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))>
#<alt (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1 binary32))))) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))>
#<alt (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1 binary32))))) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))>
#<alt (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1 binary32))))) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))>
#<alt c>
#<alt (*.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1 binary32))))) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 #s(literal 1 binary32) c))))>
#<alt (*.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1 binary32))))) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 #s(literal 1 binary32) c))))>
#<alt (*.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1 binary32))))) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 #s(literal 1 binary32) c))))>
#<alt c>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 c (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1 binary32))))) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) c)) #s(literal 1 binary32))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 c (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1 binary32))))) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) c)) #s(literal 1 binary32))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 c (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1 binary32))))) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) c)) #s(literal 1 binary32))))>
Calls

60 calls:

TimeVariablePointExpression
5.0ms
cosTheta
@inf
(/ 1 (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))
5.0ms
cosTheta
@-inf
(/ 1 (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))
4.0ms
cosTheta
@inf
(/ 1 (+ (* (/ (/ (+ 1 (* cosTheta (- (* -1/2 cosTheta) 1))) cosTheta) (sqrt (PI))) (pow (exp cosTheta) (neg cosTheta))) (+ 1 c)))
4.0ms
cosTheta
@0
(/ 1 (+ (+ 1 c) (* (/ (/ (sqrt (- 1 (+ cosTheta cosTheta))) cosTheta) (sqrt (PI))) (exp (* (neg cosTheta) cosTheta)))))
2.0ms
cosTheta
@-inf
(/ 1 (+ (* (/ (/ (+ 1 (* cosTheta (- (* -1/2 cosTheta) 1))) cosTheta) (sqrt (PI))) (pow (exp cosTheta) (neg cosTheta))) (+ 1 c)))

rewrite150.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
479×log1p-expm1-u
479×expm1-log1p-u
470×add-exp-log
467×add-log-exp
460×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
058803
11163749
Stop Event
1×node limit
Counts
15 → 275
Calls
Call 1
Inputs
(/.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) cosTheta) (sqrt.f32 (PI.f32)))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) cosTheta) (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(*.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) cosTheta) (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))
(*.f32 cosTheta (sqrt.f32 (PI.f32)))
(+.f32 #s(literal 1 binary32) (+.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) c))
(/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (+.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) c)))) cosTheta)
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (+.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) c)))) cosTheta))
(sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))
(*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))
(/.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)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))
(/.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1 binary32)))) cosTheta) (sqrt.f32 (PI.f32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1 binary32)))) cosTheta) (sqrt.f32 (PI.f32))) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (+.f32 #s(literal 1 binary32) c)))
(*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1 binary32)))
(fma.f32 (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1 binary32)))) cosTheta) (sqrt.f32 (PI.f32))) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (+.f32 #s(literal 1 binary32) c))
Outputs
(-.f32 (exp.f32 (log1p.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))))
(*.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta))) cosTheta) (pow.f32 (PI.f32) #s(literal -1/2 binary32)))
(*.f32 (cbrt.f32 (pow.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) #s(literal 2 binary32))) (cbrt.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))))
(*.f32 (sqrt.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))) (sqrt.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))))
(pow.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 (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 (pow.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 (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 (/.f32 (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta))) cosTheta)) #s(literal -1 binary32))
(log.f32 (exp.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))))))
(cbrt.f32 (pow.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta))) cosTheta) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 3/2 binary32))))
(cbrt.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) #s(literal 3/2 binary32)) (pow.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32))) #s(literal 3 binary32))))
(cbrt.f32 (/.f32 (pow.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta))) cosTheta) #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3/2 binary32))))
(expm1.f32 (log1p.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))))
(log1p.f32 (expm1.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))))
(exp.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 #s(literal -2 binary32) cosTheta))) (log.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32))))))
(exp.f32 (*.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 #s(literal -2 binary32) cosTheta))) (log.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32))))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))))
(*.f32 (cbrt.f32 (pow.f32 (fma.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c)) #s(literal -2 binary32))) (/.f32 #s(literal 1 binary32) (cbrt.f32 (fma.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c)))))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c)))))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (fma.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))) #s(literal 2 binary32)) #s(literal -1 binary32)) (pow.f32 (cbrt.f32 (fma.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))) #s(literal -1 binary32)))
(*.f32 (pow.f32 (sqrt.f32 (fma.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))) #s(literal -1 binary32)) (pow.f32 (sqrt.f32 (fma.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))) #s(literal -1 binary32)))
(pow.f32 (fma.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c)) #s(literal -1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))) #s(literal 1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 (fma.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c)))) #s(literal 2 binary32))
(pow.f32 (/.f32 (fma.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32)) #s(literal -1 binary32))
(log.f32 (exp.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))))))
(cbrt.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c)))))
(log1p.f32 (expm1.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c)))))
(exp.f32 (neg.f32 (log1p.f32 (+.f32 c (*.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))))))
(exp.f32 (*.f32 (log1p.f32 (+.f32 c (*.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))) #s(literal -1 binary32)))
(exp.f32 (*.f32 (neg.f32 (log1p.f32 (+.f32 c (*.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))) #s(literal 1 binary32))
(/.f32 (*.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta))) cosTheta) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))) (sqrt.f32 (PI.f32)))
(pow.f32 (*.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))) #s(literal 2 binary32))
(log.f32 (pow.f32 (exp.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))) (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))))
(cbrt.f32 (pow.f32 (*.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (*.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))))
(log1p.f32 (expm1.f32 (*.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))))
(exp.f32 (+.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (-.f32 (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 #s(literal -2 binary32) cosTheta))) (log.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32)))))))
(exp.f32 (*.f32 (+.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (-.f32 (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 #s(literal -2 binary32) cosTheta))) (log.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32)))))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32))))) #s(literal 1 binary32))
(pow.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32)))) #s(literal 2 binary32))
(log.f32 (pow.f32 (exp.f32 cosTheta) (sqrt.f32 (PI.f32))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32))))))
(cbrt.f32 (pow.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32))) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3/2 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) (pow.f32 cosTheta #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32)))))
(log1p.f32 (expm1.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32)))))
(exp.f32 (log.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32)))))
(exp.f32 (*.f32 (log.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32)))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (+.f32 #s(literal 1 binary32) (fma.f32 #s(literal -1 binary32) (pow.f32 (PI.f32) #s(literal -1/2 binary32)) c)))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 #s(literal -1 binary32) (pow.f32 (PI.f32) #s(literal -1/2 binary32)) c)))
(*.f32 (pow.f32 (cbrt.f32 (+.f32 #s(literal 1 binary32) (fma.f32 #s(literal -1 binary32) (pow.f32 (PI.f32) #s(literal -1/2 binary32)) c))) #s(literal 2 binary32)) (cbrt.f32 (+.f32 #s(literal 1 binary32) (fma.f32 #s(literal -1 binary32) (pow.f32 (PI.f32) #s(literal -1/2 binary32)) c))))
(*.f32 (hypot.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 #s(literal -1 binary32) (pow.f32 (PI.f32) #s(literal -1/2 binary32)) c))) (hypot.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 #s(literal -1 binary32) (pow.f32 (PI.f32) #s(literal -1/2 binary32)) c))))
(/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 #s(literal -1 binary32) (pow.f32 (PI.f32) #s(literal -1/2 binary32)) c) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (fma.f32 #s(literal -1 binary32) (pow.f32 (PI.f32) #s(literal -1/2 binary32)) c) #s(literal 2 binary32)) (fma.f32 #s(literal -1 binary32) (pow.f32 (PI.f32) #s(literal -1/2 binary32)) c))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 #s(literal -1 binary32) (pow.f32 (PI.f32) #s(literal -1/2 binary32)) c) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (fma.f32 #s(literal -1 binary32) (pow.f32 (PI.f32) #s(literal -1/2 binary32)) c)))
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(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c)))))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (fma.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))) #s(literal 2 binary32)) #s(literal -1 binary32)) (pow.f32 (cbrt.f32 (fma.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))) #s(literal -1 binary32)))
(*.f32 (pow.f32 (sqrt.f32 (fma.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))) #s(literal -1 binary32)) (pow.f32 (sqrt.f32 (fma.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))) #s(literal -1 binary32)))
(pow.f32 (fma.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c)) #s(literal -1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))) #s(literal 1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 (fma.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c)))) #s(literal 2 binary32))
(pow.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32)) #s(literal -1 binary32))
(log.f32 (exp.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))))))
(cbrt.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c)))))
(log1p.f32 (expm1.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c)))))
(exp.f32 (neg.f32 (log.f32 (fma.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c)))))
(exp.f32 (*.f32 (log.f32 (fma.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))) #s(literal -1 binary32)))
(exp.f32 (*.f32 (neg.f32 (log.f32 (fma.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c)))) #s(literal 1 binary32)))
(-.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32))
(pow.f32 (*.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32)))) #s(literal 2 binary32))
(log.f32 (pow.f32 (exp.f32 cosTheta) (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32))))))
(cbrt.f32 (pow.f32 (*.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (*.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32)))))
(log1p.f32 (expm1.f32 (*.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32)))))
(exp.f32 (log.f32 (*.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32)))))
(exp.f32 (*.f32 (log.f32 (*.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32)))) #s(literal 1 binary32)))
(+.f32 (*.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))) (+.f32 #s(literal 1 binary32) c))
(-.f32 (exp.f32 (log1p.f32 (fma.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c)))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c)))
(*.f32 (pow.f32 (cbrt.f32 (fma.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))) #s(literal 2 binary32)) (cbrt.f32 (fma.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))))
(*.f32 (sqrt.f32 (fma.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))) (sqrt.f32 (fma.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))))
(pow.f32 (fma.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (fma.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (fma.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (fma.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))) #s(literal 2 binary32))
(log.f32 (exp.f32 (fma.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (fma.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c)))))
(cbrt.f32 (pow.f32 (fma.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (fma.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))))
(log1p.f32 (expm1.f32 (fma.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))))
(exp.f32 (log.f32 (fma.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))))
(exp.f32 (*.f32 (log.f32 (fma.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))) #s(literal 1 binary32)))

simplify390.0ms (1.8%)

Algorithm
1×egg-herbie
Rules
1254×distribute-lft-in
974×*-commutative
820×times-frac
466×sub-neg
438×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0152047953
1442546656
Stop Event
1×node limit
Counts
500 → 724
Calls
Call 1
Inputs
(*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))
(/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) cosTheta)
(/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))) cosTheta)
(/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))) cosTheta)
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32)))
(+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -2 binary32))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32))))
(+.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32))))) (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -2 binary32))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32)))))
(+.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32))))) (+.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 7 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32))))) (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -2 binary32))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32))))))
(*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))))
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c
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c
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c
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(*.f32 cosTheta (sqrt.f32 (PI.f32)))
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(*.f32 cosTheta (sqrt.f32 (PI.f32)))
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c
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(log.f32 (exp.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta (sqrt.f32 (PI.f32))))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))))))
(cbrt.f32 (pow.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) cosTheta) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 3/2 binary32))))
(cbrt.f32 (/.f32 (pow.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32))) #s(literal 3 binary32))))
(cbrt.f32 (/.f32 (pow.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) cosTheta) #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3/2 binary32))))
(expm1.f32 (log1p.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta (sqrt.f32 (PI.f32))))))
(log1p.f32 (expm1.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta (sqrt.f32 (PI.f32))))))
(exp.f32 (log.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta (sqrt.f32 (PI.f32))))))
(exp.f32 (*.f32 (log.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta (sqrt.f32 (PI.f32))))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))))
(*.f32 (cbrt.f32 (pow.f32 (fma.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c)) #s(literal -2 binary32))) (/.f32 #s(literal 1 binary32) (cbrt.f32 (fma.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c)))))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c)))))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (fma.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))) #s(literal 2 binary32)) #s(literal -1 binary32)) (pow.f32 (cbrt.f32 (fma.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))) #s(literal -1 binary32)))
(*.f32 (pow.f32 (sqrt.f32 (fma.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))) #s(literal -1 binary32)) (pow.f32 (sqrt.f32 (fma.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))) #s(literal -1 binary32)))
(pow.f32 (fma.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c)) #s(literal -1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))) #s(literal 1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 (fma.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c)))) #s(literal 2 binary32))
(pow.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32)) #s(literal -1 binary32))
(log.f32 (exp.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))))))
(cbrt.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c)))))
(log1p.f32 (expm1.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c)))))
(exp.f32 (neg.f32 (log.f32 (fma.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c)))))
(exp.f32 (*.f32 (log.f32 (fma.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))) #s(literal -1 binary32)))
(exp.f32 (*.f32 (neg.f32 (log.f32 (fma.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c)))) #s(literal 1 binary32)))
(-.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32))
(pow.f32 (*.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32)))) #s(literal 2 binary32))
(log.f32 (pow.f32 (exp.f32 cosTheta) (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32))))))
(cbrt.f32 (pow.f32 (*.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (*.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32)))))
(log1p.f32 (expm1.f32 (*.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32)))))
(exp.f32 (log.f32 (*.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32)))))
(exp.f32 (*.f32 (log.f32 (*.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32)))) #s(literal 1 binary32)))
(+.f32 (*.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))) (+.f32 #s(literal 1 binary32) c))
(-.f32 (exp.f32 (log1p.f32 (fma.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c)))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c)))
(*.f32 (pow.f32 (cbrt.f32 (fma.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))) #s(literal 2 binary32)) (cbrt.f32 (fma.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))))
(*.f32 (sqrt.f32 (fma.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))) (sqrt.f32 (fma.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))))
(pow.f32 (fma.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (fma.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (fma.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (fma.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))) #s(literal 2 binary32))
(log.f32 (exp.f32 (fma.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (fma.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c)))))
(cbrt.f32 (pow.f32 (fma.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (fma.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))))
(log1p.f32 (expm1.f32 (fma.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))))
(exp.f32 (log.f32 (fma.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))))
(exp.f32 (*.f32 (log.f32 (fma.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))) #s(literal 1 binary32)))
Outputs
(*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)
(/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) cosTheta)
(/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 (neg.f32 cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta)
(/.f32 (-.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta)
(/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))) cosTheta)
(/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 (*.f32 cosTheta #s(literal -1/2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))) cosTheta)
(/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (-.f32 (*.f32 (*.f32 cosTheta #s(literal -1/2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) cosTheta)
(/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))) cosTheta)
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(*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)
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(/.f32 (-.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta)
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(fma.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 #s(literal -2 binary32) (sqrt.f32 #s(literal -2 binary32))))) (fma.f32 #s(literal 1/16 binary32) (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 7 binary32))) (PI.f32))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32)))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 3 binary32))) (PI.f32))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))) (sqrt.f32 #s(literal -2 binary32))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))))))
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(*.f32 cosTheta (sqrt.f32 (PI.f32)))
(*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))))
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(*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (-.f32 (*.f32 (neg.f32 cosTheta) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (neg.f32 (*.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal 2 binary32)))))) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))))
(*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (-.f32 (*.f32 (-.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal -3/2 binary32)) (*.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal 2 binary32)))) (neg.f32 cosTheta)) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))))
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(*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (fma.f32 cosTheta (-.f32 (*.f32 (neg.f32 cosTheta) (+.f32 (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -1 binary32) (*.f32 (*.f32 (sqrt.f32 (PI.f32)) (+.f32 #s(literal 1 binary32) (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (neg.f32 (*.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal 2 binary32)))))) (*.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) #s(literal 3/2 binary32))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (neg.f32 (*.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal 2 binary32)))))) (neg.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))))
(*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (fma.f32 cosTheta (+.f32 (+.f32 (*.f32 cosTheta (neg.f32 (+.f32 (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 (sqrt.f32 (PI.f32)) (+.f32 #s(literal 1 binary32) (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (-.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal -3/2 binary32)) (*.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal 2 binary32)))))) (*.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) #s(literal 3/2 binary32))))) (*.f32 #s(literal 3/2 binary32) (sqrt.f32 (PI.f32)))) (*.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal 2 binary32)))) (*.f32 (PI.f32) (neg.f32 (+.f32 #s(literal 1 binary32) (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))))
(*.f32 #s(literal -2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))) (sqrt.f32 (PI.f32))))
(*.f32 #s(literal -2 binary32) (/.f32 (*.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 cosTheta (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))))
(*.f32 #s(literal -2 binary32) (*.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (/.f32 (sqrt.f32 (PI.f32)) cosTheta)))
(/.f32 (+.f32 (*.f32 #s(literal -4 binary32) (/.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))))) (*.f32 cosTheta (pow.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32))))) (*.f32 #s(literal -2 binary32) (*.f32 (sqrt.f32 (PI.f32)) (/.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) cosTheta)
(/.f32 (fma.f32 #s(literal -4 binary32) (*.f32 (/.f32 (PI.f32) cosTheta) (/.f32 (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))) (pow.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)))) (*.f32 (*.f32 #s(literal -2 binary32) (sqrt.f32 (PI.f32))) (exp.f32 (neg.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))) cosTheta)
(/.f32 (fma.f32 #s(literal -4 binary32) (*.f32 (/.f32 (PI.f32) cosTheta) (/.f32 (+.f32 #s(literal 1 binary32) (-.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))) (pow.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)))) (*.f32 (*.f32 #s(literal -2 binary32) (sqrt.f32 (PI.f32))) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))) cosTheta)
(/.f32 (-.f32 (+.f32 (*.f32 #s(literal -2 binary32) (*.f32 (sqrt.f32 (PI.f32)) (/.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal 4 binary32) (*.f32 (sqrt.f32 (PI.f32)) (/.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))) (*.f32 #s(literal 8 binary32) (*.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) #s(literal 2 binary32)) (pow.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 3 binary32)))))) (pow.f32 cosTheta #s(literal 2 binary32))))) (*.f32 #s(literal 4 binary32) (/.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))))) (*.f32 cosTheta (pow.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)))))) cosTheta)
(/.f32 (+.f32 (fma.f32 #s(literal -2 binary32) (*.f32 (sqrt.f32 (PI.f32)) (exp.f32 (neg.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))) (neg.f32 (/.f32 (fma.f32 #s(literal 4 binary32) (*.f32 (sqrt.f32 (PI.f32)) (exp.f32 (neg.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))) (*.f32 (*.f32 #s(literal 8 binary32) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)))) (/.f32 (pow.f32 (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))) #s(literal 2 binary32)) (pow.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 3 binary32))))) (pow.f32 cosTheta #s(literal 2 binary32))))) (*.f32 #s(literal -4 binary32) (*.f32 (/.f32 (PI.f32) cosTheta) (/.f32 (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))) (pow.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)))))) cosTheta)
(/.f32 (+.f32 (-.f32 (*.f32 (*.f32 #s(literal -2 binary32) (sqrt.f32 (PI.f32))) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (fma.f32 #s(literal 4 binary32) (*.f32 (sqrt.f32 (PI.f32)) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (*.f32 #s(literal 8 binary32) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)))) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (-.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))) #s(literal 2 binary32)) (pow.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 3 binary32))))) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 #s(literal -4 binary32) (*.f32 (/.f32 (PI.f32) cosTheta) (/.f32 (+.f32 #s(literal 1 binary32) (-.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))) (pow.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)))))) cosTheta)
(/.f32 (-.f32 (+.f32 (*.f32 #s(literal -2 binary32) (*.f32 (sqrt.f32 (PI.f32)) (/.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal 2 binary32) (*.f32 (sqrt.f32 (PI.f32)) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) (+.f32 (*.f32 #s(literal 4 binary32) (*.f32 (sqrt.f32 (PI.f32)) (/.f32 #s(literal 1 binary32) (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))) (*.f32 #s(literal 8 binary32) (*.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) #s(literal 2 binary32)) (pow.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 3 binary32))))))) (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))) (*.f32 #s(literal 8 binary32) (/.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))))) (pow.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32))))) (pow.f32 cosTheta #s(literal 3 binary32))))) (+.f32 (*.f32 #s(literal 4 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))) (sqrt.f32 (PI.f32)))) (+.f32 (*.f32 #s(literal 4 binary32) (/.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))))) (*.f32 cosTheta (pow.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32))))) (*.f32 #s(literal 8 binary32) (*.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))) #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (pow.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 3 binary32)))) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)))))))) cosTheta)
(/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) (*.f32 (sqrt.f32 (PI.f32)) (exp.f32 (neg.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))) (neg.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))) (/.f32 (fma.f32 #s(literal 4 binary32) (*.f32 (sqrt.f32 (PI.f32)) (exp.f32 (neg.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))) (*.f32 (*.f32 #s(literal 8 binary32) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)))) (/.f32 (pow.f32 (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))) #s(literal 2 binary32)) (pow.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 3 binary32))))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))) (*.f32 #s(literal 8 binary32) (*.f32 (PI.f32) (/.f32 (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))) (pow.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)))))) (pow.f32 cosTheta #s(literal 3 binary32))))) (fma.f32 #s(literal 4 binary32) (*.f32 (sqrt.f32 (PI.f32)) (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))) (fma.f32 #s(literal 4 binary32) (*.f32 (/.f32 (PI.f32) cosTheta) (/.f32 (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))) (pow.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)))) (*.f32 #s(literal 8 binary32) (*.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (/.f32 (pow.f32 (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))) #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (pow.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 3 binary32))))))))) cosTheta)
(/.f32 (-.f32 (-.f32 (*.f32 (*.f32 #s(literal -2 binary32) (sqrt.f32 (PI.f32))) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (-.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))) (/.f32 (fma.f32 #s(literal 4 binary32) (*.f32 (sqrt.f32 (PI.f32)) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (*.f32 #s(literal 8 binary32) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)))) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (-.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))) #s(literal 2 binary32)) (pow.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 3 binary32))))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))) (*.f32 #s(literal 8 binary32) (*.f32 (PI.f32) (/.f32 (+.f32 #s(literal 1 binary32) (-.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))) (pow.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)))))) (pow.f32 cosTheta #s(literal 3 binary32)))) (fma.f32 #s(literal 4 binary32) (*.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (/.f32 (sqrt.f32 (PI.f32)) (pow.f32 cosTheta #s(literal 2 binary32)))) (fma.f32 #s(literal 4 binary32) (*.f32 (/.f32 (PI.f32) cosTheta) (/.f32 (+.f32 #s(literal 1 binary32) (-.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))) (pow.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)))) (*.f32 #s(literal 8 binary32) (*.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (-.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))) #s(literal 2 binary32)) (pow.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 3 binary32))) (/.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (pow.f32 cosTheta #s(literal 2 binary32)))))))) cosTheta)
(*.f32 #s(literal -2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))) (sqrt.f32 (PI.f32))))
(*.f32 #s(literal -2 binary32) (/.f32 (*.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 cosTheta (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))))
(*.f32 #s(literal -2 binary32) (*.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (/.f32 (sqrt.f32 (PI.f32)) cosTheta)))
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(+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) cosTheta))))
(+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1 binary32))))) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))
(+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) cosTheta))))
c
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(fma.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))
(pow.f32 (pow.f32 (fma.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(fma.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))
(pow.f32 (sqrt.f32 (fma.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))) #s(literal 2 binary32))
(fma.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))
(log.f32 (exp.f32 (fma.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))))
(fma.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (fma.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c)))))
(fma.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))
(cbrt.f32 (pow.f32 (fma.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c)) #s(literal 3 binary32)))
(fma.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))
(expm1.f32 (log1p.f32 (fma.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))))
(log1p.f32 (expm1.f32 (fma.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))))
(fma.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))
(exp.f32 (log.f32 (fma.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))))
(fma.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))
(exp.f32 (*.f32 (log.f32 (fma.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))) #s(literal 1 binary32)))
(fma.f32 (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))

eval789.0ms (3.7%)

Compiler

Compiled 35647 to 27125 computations (23.9% saved)

prune235.0ms (1.1%)

Pruning

42 alts after pruning (38 fresh and 4 done)

PrunedKeptTotal
New80920829
Fresh131831
Picked325
Done022
Total82542867
Accuracy
100.0%
Counts
867 → 42
Alt Table
Click to see full alt table
StatusAccuracyProgram
93.8%
(pow.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta (+.f32 #s(literal 1 binary32) (fma.f32 #s(literal -1 binary32) (pow.f32 (PI.f32) #s(literal -1/2 binary32)) c)) (pow.f32 (PI.f32) #s(literal -1/2 binary32))) cosTheta)) #s(literal -2 binary32))
90.6%
(pow.f32 (sqrt.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32)))) #s(literal 2 binary32))
90.4%
(pow.f32 (cbrt.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32)))) #s(literal 3 binary32))
57.6%
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 cosTheta c)) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 #s(literal 1 binary32) c)))) c)
93.7%
(/.f32 cosTheta (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))
▶93.9%
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (+.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) c)))) cosTheta))
93.8%
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 (cbrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (cbrt.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (+.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) c)))) cosTheta))
▶90.6%
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c)) cosTheta))
93.9%
(/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))
90.2%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (pow.f32 (sqrt.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) #s(literal 2 binary32)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
94.7%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
96.5%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (/.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) (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
95.8%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1 binary32)))) cosTheta) (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
✓98.4%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) cosTheta) (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
98.1%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (sqrt.f32 (PI.f32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
90.7%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
94.9%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
▶96.7%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.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)))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
96.0%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1 binary32)))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
94.3%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal -1/2 binary32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
90.8%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
98.0%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
94.3%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
94.3%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
87.1%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (expm1.f32 (log1p.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) cosTheta)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
93.9%
(/.f32 #s(literal 1 binary32) (+.f32 c (+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) cosTheta))))))
▶98.1%
(/.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)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))))))
▶97.0%
(/.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)))) cosTheta) (sqrt.f32 (*.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))) (/.f32 #s(literal 2 binary32) (PI.f32))))))))
89.4%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (exp.f32 (-.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (log.f32 cosTheta))))))
97.0%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) cosTheta))))
53.8%
(/.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (-.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 cosTheta c))) cosTheta) (/.f32 #s(literal 1 binary32) c)))))
53.7%
(/.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 cosTheta c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (*.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta) (/.f32 #s(literal 1 binary32) c)))))
50.9%
(/.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c)) (/.f32 #s(literal 1 binary32) c)))))
✓57.6%
(/.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))) (/.f32 #s(literal 1 binary32) c)))))
50.8%
(/.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 #s(literal 1 binary32) c)))))
✓5.4%
(/.f32 #s(literal 1 binary32) c)
94.3%
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 cosTheta (+.f32 #s(literal 1 binary32) (fma.f32 #s(literal -1 binary32) (pow.f32 (PI.f32) #s(literal -1/2 binary32)) c)) (pow.f32 (PI.f32) #s(literal -1/2 binary32)))) (pow.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32)))
94.3%
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))
✓91.2%
(*.f32 cosTheta (sqrt.f32 (PI.f32)))
57.7%
(*.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 #s(literal 1 binary32) c)))))
89.7%
(exp.f32 (neg.f32 (log1p.f32 (*.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)))))
83.5%
(exp.f32 (log.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32)))))
Compiler

Compiled 1777 to 1433 computations (19.4% saved)

localize2.5s (11.7%)

Localize:

Found 20 expressions with local error:

NewAccuracyProgram
✓99.0%
(*.f32 cosTheta (PI.f32))
✓98.9%
(*.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))) (/.f32 #s(literal 2 binary32) (PI.f32))))
✓98.1%
(*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (*.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))) (/.f32 #s(literal 2 binary32) (PI.f32))))))
✓97.6%
(sqrt.f32 (*.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))) (/.f32 #s(literal 2 binary32) (PI.f32)))))
✓99.8%
(*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1/2 binary32)))
✓99.2%
(/.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)))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))
✓99.0%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.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)))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
98.9%
(*.f32 (sqrt.f32 (PI.f32)) cosTheta)
✓98.2%
(/.f32 (+.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (+.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) c)))) cosTheta)
97.2%
(+.f32 #s(literal 1 binary32) (+.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) c))
✓96.9%
(pow.f32 (PI.f32) #s(literal -1/2 binary32))
96.9%
(sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))
✓99.9%
(+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c))
✓99.1%
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c)) cosTheta))
✓98.1%
(/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c)) cosTheta)
96.9%
(sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))
✓99.7%
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))
✓99.0%
(/.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)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))))))
✓98.1%
(*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))
97.6%
(sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))
Compiler

Compiled 590 to 388 computations (34.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.5s
Operation ival-div, time spent: 1.1s, 72.0% of total-time
Operation ival-mult, time spent: 136.0ms, 9.0% of total-time
Operation ival-pow, time spent: 80.0ms, 5.0% of total-time
Operation ival-add, time spent: 60.0ms, 4.0% of total-time
Operation ival-sqrt, time spent: 48.0ms, 3.0% of total-time
Operation ival-exp, time spent: 47.0ms, 3.0% of total-time
Operation ival-sub, time spent: 30.0ms, 2.0% of total-time
Operation const, time spent: 20.0ms, 1.0% of total-time
Operation ival-neg, time spent: 17.0ms, 1.0% of total-time
Operation ival-pi, time spent: 1.0ms, 0.0% of total-time

series77.0ms (0.4%)

Counts
15 → 225
Calls
Call 1
Inputs
#<alt (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))>
#<alt (/.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)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))))))>
#<alt (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))>
#<alt (/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c)) cosTheta)>
#<alt (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c)) cosTheta))>
#<alt (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c))>
#<alt (pow.f32 (PI.f32) #s(literal -1/2 binary32))>
#<alt (/.f32 (+.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (+.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) c)))) cosTheta)>
#<alt (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.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)))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))>
#<alt (/.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)))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))>
#<alt (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1/2 binary32)))>
#<alt (sqrt.f32 (*.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))) (/.f32 #s(literal 2 binary32) (PI.f32)))))>
#<alt (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (*.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))) (/.f32 #s(literal 2 binary32) (PI.f32))))))>
#<alt (*.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))) (/.f32 #s(literal 2 binary32) (PI.f32))))>
#<alt (*.f32 cosTheta (PI.f32))>
Outputs
#<alt (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))>
#<alt (/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) cosTheta)>
#<alt (/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))) cosTheta)>
#<alt (/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (+.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))))) cosTheta)>
#<alt (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32))))>
#<alt (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))>
#<alt (+.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32))))) (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32))))))>
#<alt (+.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32))))) (+.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 7 binary32)) (PI.f32)))) (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32))))) (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))))) (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 2 binary32))))))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))))) (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 2 binary32))))) (*.f32 #s(literal 1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32)))))))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))))) (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 2 binary32))))) (+.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 7 binary32)) (PI.f32)))) (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 5 binary32))))) (*.f32 #s(literal 1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32))))))))>
#<alt (/.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)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))))>
#<alt (+.f32 (*.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)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (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)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))))))>
#<alt (+.f32 (*.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)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (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)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (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)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))))))>
#<alt (+.f32 (*.f32 c (-.f32 (*.f32 c (+.f32 (*.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)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (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)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (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)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (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)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))))))>
#<alt (/.f32 #s(literal 1 binary32) c)>
#<alt (/.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)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))) c))) c)>
#<alt (/.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)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))) #s(literal 2 binary32)) (pow.f32 c #s(literal 2 binary32)))) (+.f32 (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))) (/.f32 #s(literal 1 binary32) c))) c)>
#<alt (/.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)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))) #s(literal 3 binary32)) (pow.f32 c #s(literal 3 binary32))))) (+.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)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))) #s(literal 2 binary32)) (pow.f32 c #s(literal 2 binary32)))) (+.f32 (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))) (/.f32 #s(literal 1 binary32) c)))) c)>
#<alt (/.f32 #s(literal 1 binary32) c)>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))) (/.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32)) c))>
#<alt (*.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)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (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)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))))) c)) #s(literal 1 binary32)) c))>
#<alt (*.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)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (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)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (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)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))))) c)) #s(literal 1 binary32)) c))>
#<alt (*.f32 cosTheta (sqrt.f32 (PI.f32)))>
#<alt (*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))))>
#<alt (*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) #s(literal 2 binary32)))) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))))>
#<alt (*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (-.f32 (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) #s(literal 2 binary32)))) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))) (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))) (*.f32 (PI.f32) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))) (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) #s(literal 2 binary32)))) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))))>
#<alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))))>
#<alt (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))) #s(literal 2 binary32)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32))))))))>
#<alt (-.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1/4 binary32) (/.f32 (*.f32 cosTheta (pow.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32))) (*.f32 (PI.f32) (*.f32 (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))) #s(literal 3 binary32)))))) (*.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32))) (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))) #s(literal 2 binary32))))))) (pow.f32 cosTheta #s(literal 4 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))))) (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))) #s(literal 2 binary32)))))))>
#<alt (-.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 cosTheta (PI.f32))) (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 (*.f32 #s(literal -1/4 binary32) (/.f32 (*.f32 cosTheta (pow.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32))) (*.f32 (PI.f32) (*.f32 (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))) #s(literal 3 binary32)))))) (*.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32))) (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))) #s(literal 2 binary32)))))))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))))))) (+.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 (sqrt.f32 (/.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32))) (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))) #s(literal 2 binary32)))))) (*.f32 #s(literal 1/16 binary32) (/.f32 (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (pow.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32))) (*.f32 (PI.f32) (*.f32 (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 4 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))) #s(literal 3 binary32)))))))) (pow.f32 cosTheta #s(literal 6 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))))) (+.f32 (*.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 cosTheta #s(literal 3 binary32)) (*.f32 (PI.f32) (*.f32 (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))) #s(literal 3 binary32))))))) (+.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))) #s(literal 2 binary32)))))) (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))) #s(literal 2 binary32)))))))))>
#<alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))))))))>
#<alt (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 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 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))))))))>
#<alt (-.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 (sqrt.f32 (/.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32))) (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))))))) #s(literal 2 binary32)))))) (*.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 cosTheta (pow.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32))) (*.f32 (PI.f32) (*.f32 (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))))))) #s(literal 3 binary32))))))) (pow.f32 cosTheta #s(literal 4 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))))))))) (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))))))) #s(literal 2 binary32)))))))>
#<alt (-.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 (sqrt.f32 (/.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32))) (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 5 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))))))) #s(literal 2 binary32)))))) (+.f32 (*.f32 #s(literal 1/16 binary32) (/.f32 (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (pow.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32))) (*.f32 (PI.f32) (*.f32 (pow.f32 (sqrt.f32 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#<alt (-.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))>
#<alt (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))>
#<alt (-.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))>
#<alt (-.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))>
#<alt (-.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))>
#<alt (/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) cosTheta)>
#<alt (+.f32 c (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))>
#<alt (+.f32 c (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))>
#<alt (+.f32 c (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))>
#<alt c>
#<alt (*.f32 c (-.f32 (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 #s(literal 1 binary32) c))) (*.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))>
#<alt (*.f32 c (-.f32 (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 #s(literal 1 binary32) c))) (*.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))>
#<alt (*.f32 c (-.f32 (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 #s(literal 1 binary32) c))) (*.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))>
#<alt c>
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#<alt (*.f32 #s(literal -1 binary32) (*.f32 c (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) c)) #s(literal 1 binary32))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 c (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) c)) #s(literal 1 binary32))))>
#<alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (+.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) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 c (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (+.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) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (+.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) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))>
#<alt (+.f32 (*.f32 c (-.f32 (/.f32 c (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (+.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) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (+.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) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal 2 binary32))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (+.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) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))>
#<alt (+.f32 (*.f32 c (-.f32 (*.f32 c (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 c (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (+.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) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal 4 binary32)))) (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (+.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) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal 3 binary32))))) (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (+.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) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal 2 binary32))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (+.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) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))>
#<alt (/.f32 #s(literal 1 binary32) c)>
#<alt (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (+.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) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) c))) c)>
#<alt (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (+.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) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal 2 binary32)) (pow.f32 c #s(literal 2 binary32)))) (+.f32 (*.f32 (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (+.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))))) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 #s(literal 1 binary32) c))) c)>
#<alt (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (+.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) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal 3 binary32)) (pow.f32 c #s(literal 3 binary32))))) (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (+.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) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal 2 binary32)) (pow.f32 c #s(literal 2 binary32)))) (+.f32 (*.f32 (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (+.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))))) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 #s(literal 1 binary32) c)))) c)>
#<alt (/.f32 #s(literal 1 binary32) c)>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 (*.f32 (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (+.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))))) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32)) c))>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (+.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) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal 2 binary32)) c) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (+.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) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) c)) #s(literal 1 binary32)) c))>
#<alt (*.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 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (+.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) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal 3 binary32)) c) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (+.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) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal 2 binary32))) c)) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (+.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) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) c)) #s(literal 1 binary32)) c))>
#<alt (*.f32 cosTheta (sqrt.f32 (PI.f32)))>
#<alt (*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))))>
#<alt (*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32))) (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) #s(literal 2 binary32))))))) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))))>
#<alt (*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (-.f32 (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (+.f32 (*.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32))) (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) #s(literal 2 binary32)))))))) (+.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32))) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))))) (+.f32 (*.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32))) (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) #s(literal 2 binary32))))))) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))))>
#<alt (*.f32 #s(literal -2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))) (sqrt.f32 (PI.f32))))>
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#<alt (*.f32 #s(literal -2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))) (sqrt.f32 (PI.f32))))>
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#<alt (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))>
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#<alt (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))>
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#<alt (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (+.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (*.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 3 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))>
#<alt (*.f32 #s(literal -1/2 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))>
#<alt (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))>
#<alt (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta)) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))>
#<alt (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta)) (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta)) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))>
#<alt (*.f32 #s(literal -1/2 binary32) cosTheta)>
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#<alt (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) cosTheta)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) cosTheta)))))>
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#<alt (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)) (sqrt.f32 #s(literal -2 binary32))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)) (sqrt.f32 #s(literal -2 binary32))))) (+.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32))))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)) (sqrt.f32 #s(literal -2 binary32))))) (+.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32))))) (+.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 7 binary32)) (PI.f32)))) (/.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)))))))))>
#<alt (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))>
#<alt (/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) cosTheta)>
#<alt (/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))) cosTheta)>
#<alt (/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (+.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))))) cosTheta)>
#<alt (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32))))>
#<alt (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))>
#<alt (+.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32))))) (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32))))))>
#<alt (+.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32))))) (+.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 7 binary32)) (PI.f32)))) (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32))))) (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32))))))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)))))) (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32))) (sqrt.f32 #s(literal -2 binary32))))))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)))))) (+.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32))) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32))))) (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32))) (sqrt.f32 #s(literal -2 binary32)))))))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)))))) (+.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 7 binary32)) (PI.f32)))) (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32))) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32))))) (+.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32))) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32))))) (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32))) (sqrt.f32 #s(literal -2 binary32))))))))>
#<alt (/.f32 #s(literal 1 binary32) (PI.f32))>
#<alt (+.f32 (*.f32 #s(literal -2 binary32) (/.f32 cosTheta (PI.f32))) (/.f32 #s(literal 1 binary32) (PI.f32)))>
#<alt (+.f32 (*.f32 #s(literal -2 binary32) (/.f32 cosTheta (PI.f32))) (/.f32 #s(literal 1 binary32) (PI.f32)))>
#<alt (+.f32 (*.f32 #s(literal -2 binary32) (/.f32 cosTheta (PI.f32))) (/.f32 #s(literal 1 binary32) (PI.f32)))>
#<alt (*.f32 #s(literal -2 binary32) (/.f32 cosTheta (PI.f32)))>
#<alt (*.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (PI.f32)))))>
#<alt (*.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (PI.f32)))))>
#<alt (*.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (PI.f32)))))>
#<alt (*.f32 #s(literal -2 binary32) (/.f32 cosTheta (PI.f32)))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))))))>
Calls

60 calls:

TimeVariablePointExpression
13.0ms
cosTheta
@-inf
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta c)) cosTheta)
10.0ms
cosTheta
@-inf
(* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (* cosTheta (- (/ 1 (* cosTheta (PI))) (/ 2 (PI))))))
2.0ms
cosTheta
@inf
(/ 1 (+ (+ 1 c) (* (/ (+ 1 (* cosTheta (- (* cosTheta (- (* -1/2 cosTheta) 1/2)) 1))) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))))
2.0ms
cosTheta
@-inf
(/ 1 (+ (+ 1 c) (* (/ (+ 1 (* cosTheta (- (* cosTheta (- (* -1/2 cosTheta) 1/2)) 1))) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))))
2.0ms
cosTheta
@-inf
(/ 1 (+ 1 (+ c (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))))))

rewrite152.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
564×log1p-expm1-u
564×expm1-log1p-u
544×add-exp-log
533×pow1
410×unpow-prod-down
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
063713
11255651
Stop Event
1×node limit
Counts
15 → 260
Calls
Call 1
Inputs
(*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))
(/.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)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))))))
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))
(/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c)) cosTheta)
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c)) cosTheta))
(+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c))
(pow.f32 (PI.f32) #s(literal -1/2 binary32))
(/.f32 (+.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (+.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) c)))) cosTheta)
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.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)))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 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)))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))
(*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1/2 binary32)))
(sqrt.f32 (*.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))) (/.f32 #s(literal 2 binary32) (PI.f32)))))
(*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (*.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))) (/.f32 #s(literal 2 binary32) (PI.f32))))))
(*.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))) (/.f32 #s(literal 2 binary32) (PI.f32))))
(*.f32 cosTheta (PI.f32))
Outputs
(-.f32 (exp.f32 (log1p.f32 (*.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))))) #s(literal 1 binary32))
(/.f32 (*.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))) cosTheta)
(pow.f32 (*.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))))) #s(literal 2 binary32))
(log.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))))))
(cbrt.f32 (pow.f32 (*.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (*.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))))))
(log1p.f32 (expm1.f32 (*.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))))))
(exp.f32 (+.f32 (log.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))) (-.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (log.f32 cosTheta))))
(exp.f32 (*.f32 (+.f32 (log.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))) (-.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (log.f32 cosTheta))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) c))))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) c))))
(*.f32 (pow.f32 (cbrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) c)))) #s(literal 2 binary32)) (cbrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) c)))))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) c)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) c)))))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) c))) #s(literal 2 binary32)) #s(literal -1 binary32)) (pow.f32 (cbrt.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) c))) #s(literal -1 binary32)))
(*.f32 (pow.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) c))) #s(literal -1 binary32)) (pow.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) c))) #s(literal -1 binary32)))
(pow.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) c)) #s(literal -1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) c))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) c)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) c))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
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(exp.f32 (log.f32 (*.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1/2 binary32)))))
(exp.f32 (*.f32 (log.f32 (*.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1/2 binary32)))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (*.f32 cosTheta (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 #s(literal 2 binary32) (PI.f32))))))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (sqrt.f32 (*.f32 cosTheta (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 #s(literal 2 binary32) (PI.f32))))))
(*.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (*.f32 cosTheta (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 #s(literal 2 binary32) (PI.f32)))))) #s(literal 2 binary32)) (cbrt.f32 (sqrt.f32 (*.f32 cosTheta (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 #s(literal 2 binary32) (PI.f32)))))))
(*.f32 (sqrt.f32 cosTheta) (sqrt.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 #s(literal 2 binary32) (PI.f32)))))
(*.f32 (sqrt.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 #s(literal 2 binary32) (PI.f32)))) (sqrt.f32 cosTheta))
(*.f32 (sqrt.f32 (sqrt.f32 (*.f32 cosTheta (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 #s(literal 2 binary32) (PI.f32)))))) (sqrt.f32 (sqrt.f32 (*.f32 cosTheta (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 #s(literal 2 binary32) (PI.f32)))))))
(*.f32 (pow.f32 #s(literal 1 binary32) #s(literal 1/2 binary32)) (sqrt.f32 (*.f32 cosTheta (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 #s(literal 2 binary32) (PI.f32))))))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (*.f32 cosTheta (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 #s(literal 2 binary32) (PI.f32))))) #s(literal 2 binary32)) #s(literal 1/2 binary32)) (pow.f32 (cbrt.f32 (*.f32 cosTheta (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 #s(literal 2 binary32) (PI.f32))))) #s(literal 1/2 binary32)))
(pow.f32 (*.f32 cosTheta (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 #s(literal 2 binary32) (PI.f32)))) #s(literal 1/2 binary32))
(pow.f32 (sqrt.f32 (*.f32 cosTheta (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 #s(literal 2 binary32) (PI.f32))))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (sqrt.f32 (*.f32 cosTheta (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 #s(literal 2 binary32) (PI.f32)))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 cosTheta (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 #s(literal 2 binary32) (PI.f32)))) #s(literal 3/2 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (sqrt.f32 (*.f32 cosTheta (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 #s(literal 2 binary32) (PI.f32)))))) #s(literal 2 binary32))
(log.f32 (exp.f32 (sqrt.f32 (*.f32 cosTheta (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 #s(literal 2 binary32) (PI.f32)))))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (sqrt.f32 (*.f32 cosTheta (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 #s(literal 2 binary32) (PI.f32))))))))
(cbrt.f32 (pow.f32 (*.f32 cosTheta (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 #s(literal 2 binary32) (PI.f32)))) #s(literal 3/2 binary32)))
(expm1.f32 (log1p.f32 (sqrt.f32 (*.f32 cosTheta (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 #s(literal 2 binary32) (PI.f32)))))))
(log1p.f32 (expm1.f32 (sqrt.f32 (*.f32 cosTheta (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 #s(literal 2 binary32) (PI.f32)))))))
(exp.f32 (log.f32 (sqrt.f32 (*.f32 cosTheta (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 #s(literal 2 binary32) (PI.f32)))))))
(exp.f32 (*.f32 (log.f32 (*.f32 cosTheta (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 #s(literal 2 binary32) (PI.f32))))) #s(literal 1/2 binary32)))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (*.f32 cosTheta (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 #s(literal 2 binary32) (PI.f32)))))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (*.f32 cosTheta (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 #s(literal 2 binary32) (PI.f32)))))))) #s(literal 1 binary32))
(/.f32 (*.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (*.f32 cosTheta (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 #s(literal 2 binary32) (PI.f32)))))) cosTheta)
(pow.f32 (*.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (*.f32 cosTheta (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 #s(literal 2 binary32) (PI.f32)))))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (*.f32 cosTheta (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 #s(literal 2 binary32) (PI.f32))))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (*.f32 cosTheta (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 #s(literal 2 binary32) (PI.f32)))))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (*.f32 cosTheta (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 #s(literal 2 binary32) (PI.f32))))))) #s(literal 2 binary32))
(log.f32 (pow.f32 (exp.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)) (sqrt.f32 (*.f32 cosTheta (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 #s(literal 2 binary32) (PI.f32)))))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (*.f32 cosTheta (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 #s(literal 2 binary32) (PI.f32)))))))))
(cbrt.f32 (pow.f32 (*.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (*.f32 cosTheta (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 #s(literal 2 binary32) (PI.f32)))))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (*.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (*.f32 cosTheta (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 #s(literal 2 binary32) (PI.f32))))))))
(log1p.f32 (expm1.f32 (*.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (*.f32 cosTheta (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 #s(literal 2 binary32) (PI.f32))))))))
(exp.f32 (log.f32 (*.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (*.f32 cosTheta (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 #s(literal 2 binary32) (PI.f32))))))))
(exp.f32 (*.f32 (log.f32 (*.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (*.f32 cosTheta (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 #s(literal 2 binary32) (PI.f32))))))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 cosTheta (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 #s(literal 2 binary32) (PI.f32)))))) #s(literal 1 binary32))
(pow.f32 (*.f32 cosTheta (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 #s(literal 2 binary32) (PI.f32)))) #s(literal 1 binary32))
(pow.f32 (sqrt.f32 (*.f32 cosTheta (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 #s(literal 2 binary32) (PI.f32))))) #s(literal 2 binary32))
(pow.f32 (cbrt.f32 (*.f32 cosTheta (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 #s(literal 2 binary32) (PI.f32))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 cosTheta (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 #s(literal 2 binary32) (PI.f32)))) #s(literal 2 binary32)) #s(literal 1/2 binary32))
(pow.f32 (pow.f32 (*.f32 cosTheta (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 #s(literal 2 binary32) (PI.f32)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(log.f32 (pow.f32 (exp.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 #s(literal 2 binary32) (PI.f32)))) cosTheta))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 cosTheta (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 #s(literal 2 binary32) (PI.f32)))))))
(cbrt.f32 (pow.f32 (*.f32 cosTheta (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 #s(literal 2 binary32) (PI.f32)))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (*.f32 cosTheta (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 #s(literal 2 binary32) (PI.f32))))))
(log1p.f32 (expm1.f32 (*.f32 cosTheta (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 #s(literal 2 binary32) (PI.f32))))))
(exp.f32 (log.f32 (*.f32 cosTheta (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 #s(literal 2 binary32) (PI.f32))))))
(exp.f32 (*.f32 (log.f32 (*.f32 cosTheta (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 #s(literal 2 binary32) (PI.f32))))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 cosTheta (PI.f32)))) #s(literal 1 binary32))
(pow.f32 (*.f32 cosTheta (PI.f32)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 cosTheta (PI.f32))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 cosTheta (PI.f32)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 cosTheta (PI.f32))) #s(literal 2 binary32))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) cosTheta))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 cosTheta (PI.f32)))))
(cbrt.f32 (pow.f32 (*.f32 cosTheta (PI.f32)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (*.f32 cosTheta (PI.f32))))
(log1p.f32 (expm1.f32 (*.f32 cosTheta (PI.f32))))
(exp.f32 (log.f32 (*.f32 cosTheta (PI.f32))))
(exp.f32 (*.f32 (log.f32 (*.f32 cosTheta (PI.f32))) #s(literal 1 binary32)))

simplify306.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
1486×fma-define
808×distribute-lft-in
802×distribute-rgt-in
774×*-commutative
488×times-frac
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0129636048
1358234118
Stop Event
1×node limit
Counts
485 → 653
Calls
Call 1
Inputs
(*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))
(/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) cosTheta)
(/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))) cosTheta)
(/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (+.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))))) cosTheta)
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32))))
(+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))
(+.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32))))) (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32))))))
(+.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32))))) (+.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 7 binary32)) (PI.f32)))) (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32))))) (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))))
(*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))))
(+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))))) (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 2 binary32))))))
(+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))))) (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 2 binary32))))) (*.f32 #s(literal 1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32)))))))
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(/.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)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))))
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(/.f32 #s(literal 1 binary32) (PI.f32))
(+.f32 (*.f32 #s(literal -2 binary32) (/.f32 cosTheta (PI.f32))) (/.f32 #s(literal 1 binary32) (PI.f32)))
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(*.f32 #s(literal -2 binary32) (/.f32 cosTheta (PI.f32)))
(*.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (PI.f32)))))
(*.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (PI.f32)))))
(*.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (PI.f32)))))
(*.f32 #s(literal -2 binary32) (/.f32 cosTheta (PI.f32)))
(*.f32 #s(literal -1 binary32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))))))
(*.f32 #s(literal -1 binary32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))))))
(*.f32 #s(literal -1 binary32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))))))
(*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))
(/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 c cosTheta)) cosTheta)
(/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 c cosTheta)) cosTheta)
(/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 c cosTheta)) cosTheta)
c
(+.f32 c (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))
(+.f32 c (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))
(+.f32 c (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))
c
(+.f32 c (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))
(+.f32 c (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))
(+.f32 c (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))
(*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))
(+.f32 c (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))
(+.f32 c (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))
(+.f32 c (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))
c
(*.f32 c (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))
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c
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(*.f32 cosTheta (sqrt.f32 (PI.f32)))
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(/.f32 #s(literal 1 binary32) c)
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(/.f32 #s(literal 1 binary32) c)
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(*.f32 cosTheta (sqrt.f32 (PI.f32)))
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(/.f32 #s(literal 1 binary32) c)
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(/.f32 #s(literal 1 binary32) c)
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(sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))
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(*.f32 c cosTheta)
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(sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))
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(*.f32 c cosTheta)
(*.f32 c (+.f32 cosTheta (*.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))
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(*.f32 c cosTheta)
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(*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))
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(-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))
(-.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))
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(-.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))
(-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))
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c
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c
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(exp.f32 (log.f32 (*.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (*.f32 cosTheta (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 #s(literal 2 binary32) (PI.f32))))))))
(exp.f32 (*.f32 (log.f32 (*.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (*.f32 cosTheta (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 #s(literal 2 binary32) (PI.f32))))))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 cosTheta (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 #s(literal 2 binary32) (PI.f32)))))) #s(literal 1 binary32))
(pow.f32 (*.f32 cosTheta (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 #s(literal 2 binary32) (PI.f32)))) #s(literal 1 binary32))
(pow.f32 (sqrt.f32 (*.f32 cosTheta (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 #s(literal 2 binary32) (PI.f32))))) #s(literal 2 binary32))
(pow.f32 (cbrt.f32 (*.f32 cosTheta (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 #s(literal 2 binary32) (PI.f32))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 cosTheta (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 #s(literal 2 binary32) (PI.f32)))) #s(literal 2 binary32)) #s(literal 1/2 binary32))
(pow.f32 (pow.f32 (*.f32 cosTheta (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 #s(literal 2 binary32) (PI.f32)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(log.f32 (pow.f32 (exp.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 #s(literal 2 binary32) (PI.f32)))) cosTheta))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 cosTheta (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 #s(literal 2 binary32) (PI.f32)))))))
(cbrt.f32 (pow.f32 (*.f32 cosTheta (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 #s(literal 2 binary32) (PI.f32)))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (*.f32 cosTheta (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 #s(literal 2 binary32) (PI.f32))))))
(log1p.f32 (expm1.f32 (*.f32 cosTheta (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 #s(literal 2 binary32) (PI.f32))))))
(exp.f32 (log.f32 (*.f32 cosTheta (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 #s(literal 2 binary32) (PI.f32))))))
(exp.f32 (*.f32 (log.f32 (*.f32 cosTheta (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 #s(literal 2 binary32) (PI.f32))))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 cosTheta (PI.f32)))) #s(literal 1 binary32))
(pow.f32 (*.f32 cosTheta (PI.f32)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 cosTheta (PI.f32))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 cosTheta (PI.f32)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 cosTheta (PI.f32))) #s(literal 2 binary32))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) cosTheta))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 cosTheta (PI.f32)))))
(cbrt.f32 (pow.f32 (*.f32 cosTheta (PI.f32)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (*.f32 cosTheta (PI.f32))))
(log1p.f32 (expm1.f32 (*.f32 cosTheta (PI.f32))))
(exp.f32 (log.f32 (*.f32 cosTheta (PI.f32))))
(exp.f32 (*.f32 (log.f32 (*.f32 cosTheta (PI.f32))) #s(literal 1 binary32)))
Outputs
(*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)
(/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) cosTheta)
(/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 (neg.f32 cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta)
(/.f32 (*.f32 (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)
(/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))) cosTheta)
(/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32)))))) cosTheta)
(/.f32 (fma.f32 cosTheta (fma.f32 cosTheta (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32)) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)
(/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (+.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))))) cosTheta)
(/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (+.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32)) (*.f32 cosTheta (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal 1/2 binary32)))))))) cosTheta)
(/.f32 (fma.f32 cosTheta (fma.f32 cosTheta (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32) (*.f32 cosTheta (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal 1/2 binary32)))) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32))))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32))))
(+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))
(fma.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 3 binary32))))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))
(+.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32))))) (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32))))))
(fma.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32)))) (fma.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 3 binary32))))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32))))))
(fma.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 5 binary32))) (PI.f32))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 #s(literal -2 binary32) (sqrt.f32 #s(literal -2 binary32))))) (fma.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 3 binary32))))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32))))))
(+.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32))))) (+.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 7 binary32)) (PI.f32)))) (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32))))) (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))))
(fma.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32)))) (fma.f32 #s(literal 1/16 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 7 binary32))))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32)))) (fma.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 3 binary32))))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))))
(fma.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 5 binary32))) (PI.f32))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 #s(literal -2 binary32) (sqrt.f32 #s(literal -2 binary32))))) (fma.f32 #s(literal 1/16 binary32) (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 7 binary32))) (PI.f32))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32)))) (fma.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 3 binary32))))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))))
(*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))))
(neg.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (neg.f32 (*.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))))
(+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))))) (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 2 binary32))))))
(fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))) (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 3 binary32))))) (*.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))))))
(fma.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 3 binary32))))) (*.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (neg.f32 (*.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))))))
(+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))))) (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 2 binary32))))) (*.f32 #s(literal 1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32)))))))
(fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))) (fma.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 3 binary32))))) (*.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))) (*.f32 #s(literal 1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (*.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32))))))))
(-.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 3 binary32))))) (*.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))) (*.f32 #s(literal 1/8 binary32) (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 5 binary32))) (PI.f32))) (*.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 #s(literal 2 binary32) (sqrt.f32 #s(literal 2 binary32)))))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))))
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(*.f32 c (+.f32 cosTheta (*.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))
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(*.f32 c (+.f32 cosTheta (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c)))
(*.f32 c cosTheta)
(*.f32 cosTheta c)
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(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)
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(+.f32 #s(literal 1 binary32) (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))
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(-.f32 (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))
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c
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c
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(/.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (fma.f32 cosTheta (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1/2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)) cosTheta)) #s(literal 1 binary32)))
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eval748.0ms (3.5%)

Compiler

Compiled 30127 to 22623 computations (24.9% saved)

prune384.0ms (1.8%)

Pruning

44 alts after pruning (38 fresh and 6 done)

PrunedKeptTotal
New83517852
Fresh122133
Picked325
Done044
Total85044894
Accuracy
100.0%
Counts
894 → 44
Alt Table
Click to see full alt table
StatusAccuracyProgram
90.6%
(pow.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta c (pow.f32 (PI.f32) #s(literal -1/2 binary32))) cosTheta)) #s(literal -2 binary32))
90.6%
(pow.f32 (sqrt.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32)))) #s(literal 2 binary32))
90.4%
(pow.f32 (cbrt.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32)))) #s(literal 3 binary32))
57.6%
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 cosTheta c)) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 #s(literal 1 binary32) c)))) c)
93.7%
(/.f32 cosTheta (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))
90.7%
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (pow.f32 (*.f32 cosTheta c) #s(literal 2 binary32))) (-.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 cosTheta c))) cosTheta))
93.9%
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 cosTheta (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) cosTheta))
90.4%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 cosTheta (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) c)) cosTheta))
5.2%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 cosTheta c) cosTheta))
90.6%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 c (+.f32 cosTheta (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c))) cosTheta))
90.4%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 c (+.f32 cosTheta (*.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) cosTheta))
90.6%
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))
90.6%
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 cosTheta (fma.f32 cosTheta c (pow.f32 (PI.f32) #s(literal -1/2 binary32))))))
93.9%
(/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))
94.7%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
96.5%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (/.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) (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
95.8%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1 binary32)))) cosTheta) (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
✓98.4%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) cosTheta) (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
98.1%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (sqrt.f32 (PI.f32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
90.7%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
94.9%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
96.0%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.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)))) (pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) #s(literal 2 binary32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
✓96.7%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.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)))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
96.0%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 cosTheta #s(literal -1/2 binary32)) #s(literal 1 binary32)))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
94.3%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal -1/2 binary32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
98.0%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
94.3%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
94.3%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
90.5%
(/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) c))
93.9%
(/.f32 #s(literal 1 binary32) (+.f32 c (+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) cosTheta))))))
93.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (*.f32 (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta))))
90.3%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))))
✓98.1%
(/.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)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))))))
97.0%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) cosTheta))))
51.2%
(/.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c)))))
✓57.6%
(/.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))) (/.f32 #s(literal 1 binary32) c)))))
51.0%
(/.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))
✓5.4%
(/.f32 #s(literal 1 binary32) c)
94.3%
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 cosTheta (+.f32 #s(literal 1 binary32) (fma.f32 #s(literal -1 binary32) (pow.f32 (PI.f32) #s(literal -1/2 binary32)) c)) (pow.f32 (PI.f32) #s(literal -1/2 binary32)))) (pow.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32)))
94.3%
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))
91.2%
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta c) (PI.f32))))
✓91.2%
(*.f32 cosTheta (sqrt.f32 (PI.f32)))
57.7%
(*.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 #s(literal 1 binary32) c)))))
89.7%
(exp.f32 (neg.f32 (log1p.f32 (*.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)))))
Compiler

Compiled 2816 to 1936 computations (31.3% saved)

regimes257.0ms (1.2%)

Counts
94 → 1
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) c)
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 cosTheta c) cosTheta))
(*.f32 cosTheta (sqrt.f32 (PI.f32)))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta c) (PI.f32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) c))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c)) cosTheta))
(/.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 c (+.f32 cosTheta (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c))) cosTheta))
(/.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 c (+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) cosTheta))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 c (+.f32 cosTheta (*.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) cosTheta))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 cosTheta (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) c)) cosTheta))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (*.f32 (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta))))
(/.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c)) (/.f32 #s(literal 1 binary32) c)))))
(/.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 #s(literal 1 binary32) c)))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 cosTheta (fma.f32 cosTheta c (pow.f32 (PI.f32) #s(literal -1/2 binary32))))))
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))
(/.f32 cosTheta (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) (+.f32 #s(literal 1 binary32) (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))
(/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 cosTheta (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) cosTheta))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (+.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) c)))) cosTheta))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (+.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) c)))) cosTheta))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal -1/2 binary32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (pow.f32 (*.f32 cosTheta c) #s(literal 2 binary32))) (-.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 cosTheta c))) cosTheta))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1 binary32)))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 cosTheta #s(literal -1/2 binary32)) #s(literal 1 binary32)))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1 binary32)))) cosTheta) (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (-.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 cosTheta c))) cosTheta) (/.f32 #s(literal 1 binary32) c)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1/2 binary32))) #s(literal 1 binary32)))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (/.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) (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 cosTheta c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (*.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta) (/.f32 #s(literal 1 binary32) c)))))
(exp.f32 (log.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32)))))
(pow.f32 (cbrt.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32)))) #s(literal 3 binary32))
(pow.f32 (sqrt.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32)))) #s(literal 2 binary32))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) 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)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))))
(/.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)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (sqrt.f32 (PI.f32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) cosTheta) (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)))) cosTheta) (exp.f32 (*.f32 (neg.f32 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)))) cosTheta) (sqrt.f32 (*.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))) (/.f32 #s(literal 2 binary32) (PI.f32))))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))) (/.f32 #s(literal 1 binary32) c)))))
(pow.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta c (pow.f32 (PI.f32) #s(literal -1/2 binary32))) cosTheta)) #s(literal -2 binary32))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (pow.f32 (exp.f32 (neg.f32 cosTheta)) cosTheta) c)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (exp.f32 (-.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (log.f32 cosTheta))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (pow.f32 (sqrt.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) #s(literal 2 binary32)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (expm1.f32 (log1p.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) cosTheta)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (pow.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal 2 binary32)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (pow.f32 (cbrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) cosTheta))) #s(literal 3 binary32)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 (cbrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (cbrt.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (+.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) c)))) cosTheta))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1 binary32)))) cosTheta) (sqrt.f32 (PI.f32))) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (+.f32 #s(literal 1 binary32) c)))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 (cbrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (cbrt.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32))))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1/2 binary32))) #s(literal 1 binary32)))) (pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) #s(literal 2 binary32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) #s(literal 1 binary32)))
(exp.f32 (neg.f32 (log1p.f32 (*.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)))))
(exp.f32 (neg.f32 (log1p.f32 (+.f32 c (*.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) cosTheta)))))))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 cosTheta (+.f32 #s(literal 1 binary32) (fma.f32 #s(literal -1 binary32) (pow.f32 (PI.f32) #s(literal -1/2 binary32)) c)) (pow.f32 (PI.f32) #s(literal -1/2 binary32)))) (pow.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (pow.f32 (exp.f32 (neg.f32 cosTheta)) cosTheta) c)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) cosTheta) (sqrt.f32 (PI.f32))) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (+.f32 #s(literal 1 binary32) c)))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (expm1.f32 (log1p.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) #s(literal 3 binary32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (pow.f32 (cbrt.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))) #s(literal 3 binary32)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (pow.f32 (sqrt.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))) #s(literal 2 binary32)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 cosTheta c)) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 #s(literal 1 binary32) c)))) c)
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (cbrt.f32 (/.f32 (pow.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) cosTheta) #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3/2 binary32)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(*.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 #s(literal 1 binary32) c)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (*.f32 (cbrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (cbrt.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(pow.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta (+.f32 #s(literal 1 binary32) (fma.f32 #s(literal -1 binary32) (pow.f32 (PI.f32) #s(literal -1/2 binary32)) c)) (pow.f32 (PI.f32) #s(literal -1/2 binary32))) cosTheta)) #s(literal -2 binary32))
(pow.f32 (sqrt.f32 (fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) cosTheta)) (+.f32 #s(literal 1 binary32) c))) #s(literal -2 binary32))
(pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) cosTheta)) (+.f32 #s(literal 1 binary32) c)))) #s(literal 2 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 (fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) cosTheta)) (+.f32 #s(literal 1 binary32) c)))) #s(literal 3 binary32))
(exp.f32 (neg.f32 (log1p.f32 (fma.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) c))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (/.f32 (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta)) #s(literal -1 binary32)) (pow.f32 (exp.f32 (neg.f32 cosTheta)) cosTheta) c)))
(pow.f32 (pow.f32 (fma.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c)) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 (fma.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c)))) #s(literal 3 binary32))
(pow.f32 (cbrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 #s(literal 1 binary32) c))))) #s(literal 3 binary32))
(pow.f32 (sqrt.f32 (fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))) #s(literal -2 binary32))
(*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (-.f32 (*.f32 (neg.f32 cosTheta) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) c)) #s(literal 2 binary32))) (*.f32 (PI.f32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32))))) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) c)))))))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (pow.f32 (exp.f32 (neg.f32 cosTheta)) cosTheta) c)))
Calls

6 calls:

75.0ms
(+.f32 #s(literal 1 binary32) c)
36.0ms
(+.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))))
35.0ms
(*.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)))
34.0ms
(/.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)))))
33.0ms
c
Results
AccuracySegmentsBranch
98.6%1cosTheta
98.6%1c
98.6%1(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
98.6%1(+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))
98.6%1(+.f32 #s(literal 1 binary32) c)
98.6%1(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))
Compiler

Compiled 84 to 64 computations (23.8% saved)

regimes152.0ms (0.7%)

Counts
73 → 1
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) c)
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 cosTheta c) cosTheta))
(*.f32 cosTheta (sqrt.f32 (PI.f32)))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta c) (PI.f32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) c))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c)) cosTheta))
(/.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 c (+.f32 cosTheta (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c))) cosTheta))
(/.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 c (+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) cosTheta))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 c (+.f32 cosTheta (*.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) cosTheta))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 cosTheta (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) c)) cosTheta))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (*.f32 (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta))))
(/.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c)) (/.f32 #s(literal 1 binary32) c)))))
(/.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 #s(literal 1 binary32) c)))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 cosTheta (fma.f32 cosTheta c (pow.f32 (PI.f32) #s(literal -1/2 binary32))))))
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))
(/.f32 cosTheta (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) (+.f32 #s(literal 1 binary32) (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))
(/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 cosTheta (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) cosTheta))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (+.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) c)))) cosTheta))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (+.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) c)))) cosTheta))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal -1/2 binary32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (pow.f32 (*.f32 cosTheta c) #s(literal 2 binary32))) (-.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 cosTheta c))) cosTheta))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1 binary32)))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 cosTheta #s(literal -1/2 binary32)) #s(literal 1 binary32)))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1 binary32)))) cosTheta) (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (-.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 cosTheta c))) cosTheta) (/.f32 #s(literal 1 binary32) c)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1/2 binary32))) #s(literal 1 binary32)))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (/.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) (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 cosTheta c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (*.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta) (/.f32 #s(literal 1 binary32) c)))))
(exp.f32 (log.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32)))))
(pow.f32 (cbrt.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32)))) #s(literal 3 binary32))
(pow.f32 (sqrt.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32)))) #s(literal 2 binary32))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) 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)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))))
(/.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)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (sqrt.f32 (PI.f32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) cosTheta) (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)))) cosTheta) (exp.f32 (*.f32 (neg.f32 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)))) cosTheta) (sqrt.f32 (*.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))) (/.f32 #s(literal 2 binary32) (PI.f32))))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))) (/.f32 #s(literal 1 binary32) c)))))
(pow.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta c (pow.f32 (PI.f32) #s(literal -1/2 binary32))) cosTheta)) #s(literal -2 binary32))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (pow.f32 (exp.f32 (neg.f32 cosTheta)) cosTheta) c)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (exp.f32 (-.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (log.f32 cosTheta))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (pow.f32 (sqrt.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) #s(literal 2 binary32)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (expm1.f32 (log1p.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) cosTheta)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (pow.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal 2 binary32)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (pow.f32 (cbrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) cosTheta))) #s(literal 3 binary32)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 (cbrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (cbrt.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (+.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) c)))) cosTheta))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1 binary32)))) cosTheta) (sqrt.f32 (PI.f32))) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (+.f32 #s(literal 1 binary32) c)))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 (cbrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (cbrt.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32))))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1/2 binary32))) #s(literal 1 binary32)))) (pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) #s(literal 2 binary32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) #s(literal 1 binary32)))
(exp.f32 (neg.f32 (log1p.f32 (*.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)))))
(exp.f32 (neg.f32 (log1p.f32 (+.f32 c (*.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) cosTheta)))))))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 cosTheta (+.f32 #s(literal 1 binary32) (fma.f32 #s(literal -1 binary32) (pow.f32 (PI.f32) #s(literal -1/2 binary32)) c)) (pow.f32 (PI.f32) #s(literal -1/2 binary32)))) (pow.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32)))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
Calls

6 calls:

30.0ms
(/.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)))))
29.0ms
c
27.0ms
(*.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)))
26.0ms
(+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))
25.0ms
cosTheta
Results
AccuracySegmentsBranch
98.6%1cosTheta
98.6%1c
98.6%1(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
98.6%1(+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))
98.6%1(+.f32 #s(literal 1 binary32) c)
98.6%1(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))
Compiler

Compiled 84 to 64 computations (23.8% saved)

regimes48.0ms (0.2%)

Counts
49 → 1
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) c)
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 cosTheta c) cosTheta))
(*.f32 cosTheta (sqrt.f32 (PI.f32)))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta c) (PI.f32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) c))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c)) cosTheta))
(/.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 c (+.f32 cosTheta (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c))) cosTheta))
(/.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 c (+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) cosTheta))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 c (+.f32 cosTheta (*.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) cosTheta))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 cosTheta (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) c)) cosTheta))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (*.f32 (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta))))
(/.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c)) (/.f32 #s(literal 1 binary32) c)))))
(/.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 #s(literal 1 binary32) c)))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 cosTheta (fma.f32 cosTheta c (pow.f32 (PI.f32) #s(literal -1/2 binary32))))))
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))
(/.f32 cosTheta (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) (+.f32 #s(literal 1 binary32) (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))
(/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 cosTheta (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) cosTheta))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (+.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) c)))) cosTheta))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (+.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) c)))) cosTheta))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal -1/2 binary32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (pow.f32 (*.f32 cosTheta c) #s(literal 2 binary32))) (-.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 cosTheta c))) cosTheta))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1 binary32)))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 cosTheta #s(literal -1/2 binary32)) #s(literal 1 binary32)))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1 binary32)))) cosTheta) (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (-.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 cosTheta c))) cosTheta) (/.f32 #s(literal 1 binary32) c)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1/2 binary32))) #s(literal 1 binary32)))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (/.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) (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 cosTheta c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (*.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta) (/.f32 #s(literal 1 binary32) c)))))
(exp.f32 (log.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32)))))
(pow.f32 (cbrt.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32)))) #s(literal 3 binary32))
(pow.f32 (sqrt.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32)))) #s(literal 2 binary32))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) 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)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))))
(/.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)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))))))
Outputs
(/.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)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))))))
Calls

3 calls:

19.0ms
c
18.0ms
cosTheta
6.0ms
(+.f32 #s(literal 1 binary32) c)
Results
AccuracySegmentsBranch
98.1%1cosTheta
98.1%1c
98.1%1(+.f32 #s(literal 1 binary32) c)
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes122.0ms (0.6%)

Counts
48 → 1
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) c)
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 cosTheta c) cosTheta))
(*.f32 cosTheta (sqrt.f32 (PI.f32)))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta c) (PI.f32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) c))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c)) cosTheta))
(/.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 c (+.f32 cosTheta (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c))) cosTheta))
(/.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 c (+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) cosTheta))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 c (+.f32 cosTheta (*.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) cosTheta))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 cosTheta (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) c)) cosTheta))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (*.f32 (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta))))
(/.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c)) (/.f32 #s(literal 1 binary32) c)))))
(/.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 #s(literal 1 binary32) c)))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 cosTheta (fma.f32 cosTheta c (pow.f32 (PI.f32) #s(literal -1/2 binary32))))))
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))
(/.f32 cosTheta (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) (+.f32 #s(literal 1 binary32) (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))
(/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 cosTheta (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) cosTheta))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (+.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) c)))) cosTheta))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (+.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) c)))) cosTheta))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal -1/2 binary32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (pow.f32 (*.f32 cosTheta c) #s(literal 2 binary32))) (-.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 cosTheta c))) cosTheta))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1 binary32)))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 cosTheta #s(literal -1/2 binary32)) #s(literal 1 binary32)))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1 binary32)))) cosTheta) (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (-.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 cosTheta c))) cosTheta) (/.f32 #s(literal 1 binary32) c)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1/2 binary32))) #s(literal 1 binary32)))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (/.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) (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 cosTheta c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (*.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta) (/.f32 #s(literal 1 binary32) c)))))
(exp.f32 (log.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32)))))
(pow.f32 (cbrt.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32)))) #s(literal 3 binary32))
(pow.f32 (sqrt.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32)))) #s(literal 2 binary32))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) 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)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) cosTheta))))
Calls

3 calls:

92.0ms
c
18.0ms
cosTheta
7.0ms
(+.f32 #s(literal 1 binary32) c)
Results
AccuracySegmentsBranch
97.0%1cosTheta
97.0%1c
97.0%1(+.f32 #s(literal 1 binary32) c)
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes107.0ms (0.5%)

Counts
46 → 1
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) c)
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 cosTheta c) cosTheta))
(*.f32 cosTheta (sqrt.f32 (PI.f32)))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta c) (PI.f32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) c))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c)) cosTheta))
(/.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 c (+.f32 cosTheta (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c))) cosTheta))
(/.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 c (+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) cosTheta))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 c (+.f32 cosTheta (*.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) cosTheta))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 cosTheta (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) c)) cosTheta))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (*.f32 (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta))))
(/.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c)) (/.f32 #s(literal 1 binary32) c)))))
(/.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 #s(literal 1 binary32) c)))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 cosTheta (fma.f32 cosTheta c (pow.f32 (PI.f32) #s(literal -1/2 binary32))))))
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))
(/.f32 cosTheta (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) (+.f32 #s(literal 1 binary32) (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))
(/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 cosTheta (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) cosTheta))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (+.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) c)))) cosTheta))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (+.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) c)))) cosTheta))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal -1/2 binary32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (pow.f32 (*.f32 cosTheta c) #s(literal 2 binary32))) (-.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 cosTheta c))) cosTheta))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1 binary32)))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 cosTheta #s(literal -1/2 binary32)) #s(literal 1 binary32)))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1 binary32)))) cosTheta) (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (-.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 cosTheta c))) cosTheta) (/.f32 #s(literal 1 binary32) c)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1/2 binary32))) #s(literal 1 binary32)))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (/.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) (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 cosTheta c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (*.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta) (/.f32 #s(literal 1 binary32) c)))))
(exp.f32 (log.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32)))))
(pow.f32 (cbrt.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32)))) #s(literal 3 binary32))
(pow.f32 (sqrt.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32)))) #s(literal 2 binary32))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.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)))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
Calls

3 calls:

67.0ms
c
18.0ms
(+.f32 #s(literal 1 binary32) c)
18.0ms
cosTheta
Results
AccuracySegmentsBranch
96.7%1cosTheta
96.7%1c
96.7%1(+.f32 #s(literal 1 binary32) c)
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes39.0ms (0.2%)

Counts
40 → 1
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) c)
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 cosTheta c) cosTheta))
(*.f32 cosTheta (sqrt.f32 (PI.f32)))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta c) (PI.f32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) c))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c)) cosTheta))
(/.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 c (+.f32 cosTheta (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c))) cosTheta))
(/.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 c (+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) cosTheta))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 c (+.f32 cosTheta (*.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) cosTheta))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 cosTheta (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) c)) cosTheta))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (*.f32 (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta))))
(/.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c)) (/.f32 #s(literal 1 binary32) c)))))
(/.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 #s(literal 1 binary32) c)))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 cosTheta (fma.f32 cosTheta c (pow.f32 (PI.f32) #s(literal -1/2 binary32))))))
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))
(/.f32 cosTheta (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) (+.f32 #s(literal 1 binary32) (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))
(/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 cosTheta (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) cosTheta))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (+.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) c)))) cosTheta))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (+.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) c)))) cosTheta))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal -1/2 binary32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (pow.f32 (*.f32 cosTheta c) #s(literal 2 binary32))) (-.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 cosTheta c))) cosTheta))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1 binary32)))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 cosTheta #s(literal -1/2 binary32)) #s(literal 1 binary32)))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1 binary32)))) cosTheta) (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (-.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 cosTheta c))) cosTheta) (/.f32 #s(literal 1 binary32) c)))))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1 binary32)))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
Calls

3 calls:

16.0ms
c
14.0ms
cosTheta
5.0ms
(+.f32 #s(literal 1 binary32) c)
Results
AccuracySegmentsBranch
96.0%1cosTheta
96.0%1c
96.0%1(+.f32 #s(literal 1 binary32) c)
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes37.0ms (0.2%)

Counts
36 → 1
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) c)
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 cosTheta c) cosTheta))
(*.f32 cosTheta (sqrt.f32 (PI.f32)))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta c) (PI.f32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) c))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c)) cosTheta))
(/.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 c (+.f32 cosTheta (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c))) cosTheta))
(/.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 c (+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) cosTheta))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 c (+.f32 cosTheta (*.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) cosTheta))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 cosTheta (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) c)) cosTheta))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (*.f32 (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta))))
(/.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c)) (/.f32 #s(literal 1 binary32) c)))))
(/.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 #s(literal 1 binary32) c)))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 cosTheta (fma.f32 cosTheta c (pow.f32 (PI.f32) #s(literal -1/2 binary32))))))
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))
(/.f32 cosTheta (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) (+.f32 #s(literal 1 binary32) (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))
(/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 cosTheta (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) cosTheta))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (+.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) c)))) cosTheta))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (+.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) c)))) cosTheta))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal -1/2 binary32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (pow.f32 (*.f32 cosTheta c) #s(literal 2 binary32))) (-.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 cosTheta c))) cosTheta))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
Calls

3 calls:

14.0ms
c
13.0ms
cosTheta
6.0ms
(+.f32 #s(literal 1 binary32) c)
Results
AccuracySegmentsBranch
94.9%1cosTheta
94.9%1c
94.9%1(+.f32 #s(literal 1 binary32) c)
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes29.0ms (0.1%)

Counts
28 → 1
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) c)
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 cosTheta c) cosTheta))
(*.f32 cosTheta (sqrt.f32 (PI.f32)))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta c) (PI.f32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) c))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c)) cosTheta))
(/.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 c (+.f32 cosTheta (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c))) cosTheta))
(/.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 c (+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) cosTheta))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 c (+.f32 cosTheta (*.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) cosTheta))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 cosTheta (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) c)) cosTheta))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (*.f32 (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta))))
(/.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c)) (/.f32 #s(literal 1 binary32) c)))))
(/.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 #s(literal 1 binary32) c)))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 cosTheta (fma.f32 cosTheta c (pow.f32 (PI.f32) #s(literal -1/2 binary32))))))
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))
(/.f32 cosTheta (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) (+.f32 #s(literal 1 binary32) (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))
(/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 cosTheta (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) cosTheta))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (+.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) c)))) cosTheta))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
Outputs
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) (+.f32 #s(literal 1 binary32) (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))
Calls

3 calls:

11.0ms
cosTheta
11.0ms
c
4.0ms
(+.f32 #s(literal 1 binary32) c)
Results
AccuracySegmentsBranch
94.4%1cosTheta
94.4%1(+.f32 #s(literal 1 binary32) c)
94.4%1c
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes18.0ms (0.1%)

Counts
20 → 1
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) c)
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 cosTheta c) cosTheta))
(*.f32 cosTheta (sqrt.f32 (PI.f32)))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta c) (PI.f32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) c))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c)) cosTheta))
(/.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 c (+.f32 cosTheta (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c))) cosTheta))
(/.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 c (+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) cosTheta))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 c (+.f32 cosTheta (*.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) cosTheta))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 cosTheta (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) c)) cosTheta))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (*.f32 (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta))))
(/.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c)) (/.f32 #s(literal 1 binary32) c)))))
(/.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 #s(literal 1 binary32) c)))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 cosTheta (fma.f32 cosTheta c (pow.f32 (PI.f32) #s(literal -1/2 binary32))))))
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))
(/.f32 cosTheta (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))
Outputs
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))
Calls

2 calls:

9.0ms
c
8.0ms
cosTheta
Results
AccuracySegmentsBranch
94.3%1cosTheta
94.3%1c
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes15.0ms (0.1%)

Counts
18 → 1
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) c)
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 cosTheta c) cosTheta))
(*.f32 cosTheta (sqrt.f32 (PI.f32)))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta c) (PI.f32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) c))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c)) cosTheta))
(/.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 c (+.f32 cosTheta (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c))) cosTheta))
(/.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 c (+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) cosTheta))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 c (+.f32 cosTheta (*.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) cosTheta))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 cosTheta (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) c)) cosTheta))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (*.f32 (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta))))
(/.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c)) (/.f32 #s(literal 1 binary32) c)))))
(/.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 #s(literal 1 binary32) c)))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 cosTheta (fma.f32 cosTheta c (pow.f32 (PI.f32) #s(literal -1/2 binary32))))))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 c (+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) cosTheta))))))
Calls

2 calls:

8.0ms
c
6.0ms
cosTheta
Results
AccuracySegmentsBranch
93.9%1cosTheta
93.9%1c
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes12.0ms (0.1%)

Counts
11 → 1
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) c)
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 cosTheta c) cosTheta))
(*.f32 cosTheta (sqrt.f32 (PI.f32)))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta c) (PI.f32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) c))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c)) cosTheta))
(/.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 c (+.f32 cosTheta (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c))) cosTheta))
(/.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))
Outputs
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta c) (PI.f32))))
Calls

2 calls:

7.0ms
c
4.0ms
cosTheta
Results
AccuracySegmentsBranch
91.2%1cosTheta
91.2%1c
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0%)

Counts
4 → 1
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) c)
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 cosTheta c) cosTheta))
(*.f32 cosTheta (sqrt.f32 (PI.f32)))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))
Outputs
(*.f32 cosTheta (sqrt.f32 (PI.f32)))
Calls

2 calls:

3.0ms
cosTheta
2.0ms
c
Results
AccuracySegmentsBranch
91.2%1cosTheta
91.2%1c
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total -0.1b remaining (-0.2%)

Threshold costs -0.1b (-0.2%)

Counts
2 → 1
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) c)
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 cosTheta c) cosTheta))
Outputs
(/.f32 #s(literal 1 binary32) c)
Calls

2 calls:

2.0ms
cosTheta
2.0ms
c
Results
AccuracySegmentsBranch
5.4%1cosTheta
5.4%1c
Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify126.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
688×distribute-lft-neg-in
608×unsub-neg
414×neg-mul-1
298×neg-sub0
262×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0106865
1186865
2252865
3298865
4334865
5370865
6394865
7497865
8627865
9653865
10673865
11746865
12932865
131225865
141562865
151858865
162068865
172163865
182205865
192217865
202219865
212219865
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (pow.f32 (exp.f32 (neg.f32 cosTheta)) cosTheta) c)))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 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)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.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)))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1 binary32)))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) (+.f32 #s(literal 1 binary32) (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 c (+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) cosTheta))))))
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta c) (PI.f32))))
(*.f32 cosTheta (sqrt.f32 (PI.f32)))
(/.f32 #s(literal 1 binary32) c)
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (pow.f32 (exp.f32 (neg.f32 cosTheta)) cosTheta) c)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (pow.f32 (exp.f32 (neg.f32 cosTheta)) cosTheta) c)))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (*.f32 cosTheta (neg.f32 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)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.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)))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 cosTheta (-.f32 (*.f32 cosTheta #s(literal -1/2 binary32)) #s(literal 1/2 binary32))) #s(literal 1 binary32)))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (+.f32 #s(literal -1 binary32) (*.f32 cosTheta (-.f32 (*.f32 cosTheta #s(literal -1/2 binary32)) #s(literal 1/2 binary32)))))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1 binary32)))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 cosTheta #s(literal -1/2 binary32)) #s(literal 1 binary32)))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (+.f32 #s(literal -1 binary32) (*.f32 cosTheta #s(literal -1/2 binary32))))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 cosTheta (sqrt.f32 (PI.f32)))))))
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) (+.f32 #s(literal 1 binary32) (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))
(*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) (-.f32 #s(literal -1 binary32) (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))
(*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) (+.f32 #s(literal -1 binary32) (-.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c)))))
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))
(*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) (+.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 c (+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) cosTheta))))))
(/.f32 #s(literal 1 binary32) (+.f32 c (-.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 (/.f32 #s(literal -1 binary32) cosTheta) #s(literal -1 binary32))))))
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta c) (PI.f32))))
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (PI.f32) (*.f32 cosTheta c))))
(*.f32 cosTheta (sqrt.f32 (PI.f32)))
(/.f32 #s(literal 1 binary32) c)
Compiler

Compiled 254 to 201 computations (20.9% saved)

soundness2.0s (9.3%)

Rules
1486×fma-define
1414×times-frac
1254×distribute-lft-in
1240×div-sub
1178×distribute-lft-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
097054009
1255751081
0141754448
1426053038
046718
1897659
0152047953
1442546656
0129636048
1358234118
058803
11163749
052687
1149596
2435592
31471560
44275560
55930560
67669560
Stop Event
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 1632 to 1046 computations (35.9% saved)

end0.0ms (0%)

preprocess209.0ms (1%)

Compiler

Compiled 514 to 326 computations (36.6% saved)

Profiling

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