Beckmann Sample, normalization factor

Time bar (total: 15.1s)

analyze39.0ms (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 28 computations (33.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-<: 5.0ms (18.9% of total)
ival-div: 4.0ms (15.1% of total)
ival-mult: 3.0ms (11.4% of total)
...c/correct-round.rkt:121:19: 3.0ms (11.4% of total)
ival-sqrt: 3.0ms (11.4% of total)
ival-add: 2.0ms (7.6% of total)
ival-exp: 2.0ms (7.6% of total)
ival-sub: 2.0ms (7.6% of total)
ival-pi: 1.0ms (3.8% of total)
ival-and: 1.0ms (3.8% of total)
ival-neg: 1.0ms (3.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample3.0s (20%)

Results
2.5s8256×0valid
10.0ms62×0invalid
Precisions
Click to see histograms. Total time spent on operations: 2.2s
ival-sqrt: 422.0ms (19.4% of total)
...c/correct-round.rkt:121:19: 420.0ms (19.3% of total)
ival-sub: 350.0ms (16.1% of total)
ival-div: 324.0ms (14.9% of total)
ival-mult: 177.0ms (8.1% of total)
ival-<: 158.0ms (7.3% of total)
ival-add: 117.0ms (5.4% of total)
ival-exp: 79.0ms (3.6% of total)
ival-pi: 47.0ms (2.2% of total)
ival-neg: 41.0ms (1.9% of total)
ival-and: 26.0ms (1.2% of total)
const: 14.0ms (0.6% of total)
backward-pass: 2.0ms (0.1% of total)
Bogosity

preprocess313.0ms (2.1%)

Algorithm
1×egg-herbie
Rules
1240×div-sub
966×distribute-lft-neg-in
738×fma-define
730×distribute-rgt-neg-in
714×sub-neg
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)))))))

explain244.0ms (1.6%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(sqrt.f32 (PI.f32))
00-0-(PI.f32)
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-(*.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) c)
00-0-cosTheta
00-0-(/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))
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-c
00-0-(sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) 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-(-.f32 #s(literal 1 binary32) cosTheta)
00-0-(-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)
00-0-#s(literal 1 binary32)
00-0-(/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)
00-0-(exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))
00-0-(neg.f32 cosTheta)
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Results
90.0ms512×0valid
Compiler

Compiled 312 to 74 computations (76.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 51.0ms
ival-mult: 11.0ms (21.6% of total)
ival-div: 11.0ms (21.6% of total)
ival-sqrt: 8.0ms (15.7% of total)
ival-add: 6.0ms (11.8% of total)
ival-sub: 5.0ms (9.8% of total)
ival-exp: 4.0ms (7.9% of total)
ival-neg: 3.0ms (5.9% of total)
ival-pi: 2.0ms (3.9% of total)
const: 1.0ms (2% of total)
backward-pass: 0.0ms (0% of total)

eval1.0ms (0%)

Compiler

Compiled 92 to 40 computations (56.5% saved)

prune2.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.5%
(/.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)))
▶97.9%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
▶98.5%
(/.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)))
Compiler

Compiled 75 to 52 computations (30.7% saved)

simplify525.0ms (3.5%)

Algorithm
1×egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))
✓cost-diff0
(PI.f32)
✓cost-diff0
(sqrt.f32 (PI.f32))
✓cost-diff0
(*.f32 cosTheta #s(literal -2 binary32))
✓cost-diff0
(PI.f32)
✓cost-diff0
(sqrt.f32 (PI.f32))
✓cost-diff0
(/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))
✓cost-diff0
(+.f32 #s(literal 1 binary32) c)
✓cost-diff0
(sqrt.f32 (PI.f32))
✓cost-diff0
(*.f32 (sqrt.f32 (PI.f32)) cosTheta)
✓cost-diff0
(*.f32 cosTheta #s(literal -2 binary32))
✓cost-diff32
(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)
Rules
2484×fma-define
1160×fma-neg
978×div-sub
714×associate-/r*
626×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0421191
1831112
21671096
33321096
44901096
59211096
622851096
735791096
845011096
953211096
1058581096
1160671096
1261271096
1362731096
1469511096
1569591096
1669631096
1769631096
1869631096
Stop Event
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)))
#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))
(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) (*.f32 cosTheta #s(literal -2 binary32)))
(*.f32 cosTheta #s(literal -2 binary32))
cosTheta
#s(literal -2 binary32)
(*.f32 (sqrt.f32 (PI.f32)) cosTheta)
(sqrt.f32 (PI.f32))
(PI.f32)
(pow.f32 (exp.f32 (neg.f32 cosTheta)) cosTheta)
(exp.f32 (neg.f32 cosTheta))
(neg.f32 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)))))
#s(literal 1 binary32)
(+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))
(+.f32 #s(literal 1 binary32) c)
c
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))
(sqrt.f32 (PI.f32))
(PI.f32)
(/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)
(sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))
(-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)
(-.f32 #s(literal 1 binary32) cosTheta)
cosTheta
(exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))
(*.f32 (neg.f32 cosTheta) cosTheta)
(neg.f32 cosTheta)
(/.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)))
#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 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) cosTheta) (sqrt.f32 (PI.f32)))
(/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) cosTheta)
(sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))))
(+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))
(*.f32 cosTheta #s(literal -2 binary32))
cosTheta
#s(literal -2 binary32)
(sqrt.f32 (PI.f32))
(PI.f32)
(pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))
(exp.f32 cosTheta)
(neg.f32 cosTheta)
(+.f32 #s(literal 1 binary32) c)
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 #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)))) (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 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (pow.f32 (exp.f32 cosTheta) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (/.f32 (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) cosTheta) (sqrt.f32 (PI.f32))) c)))
(/.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (/.f32 (pow.f32 (exp.f32 (neg.f32 cosTheta)) cosTheta) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (+.f32 #s(literal 1 binary32) c)))
#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 (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) (fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (pow.f32 (exp.f32 (neg.f32 cosTheta)) cosTheta) c))
(+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (pow.f32 (exp.f32 cosTheta) cosTheta)))
(+.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (/.f32 (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) cosTheta) (sqrt.f32 (PI.f32))) c))
(fma.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (/.f32 (pow.f32 (exp.f32 (neg.f32 cosTheta)) cosTheta) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (+.f32 #s(literal 1 binary32) c))
(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)
(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)
(fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (pow.f32 (exp.f32 (neg.f32 cosTheta)) cosTheta) c)
(+.f32 c (/.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (pow.f32 (exp.f32 cosTheta) cosTheta)))
(fma.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (/.f32 (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) cosTheta) (sqrt.f32 (PI.f32))) c)
(+.f32 c (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 cosTheta (*.f32 (sqrt.f32 (PI.f32)) (pow.f32 (exp.f32 cosTheta) cosTheta)))))
(/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))
(/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 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))))
(sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))))
(sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))
(fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))
(*.f32 cosTheta #s(literal -2 binary32))
cosTheta
#s(literal -2 binary32)
(*.f32 (sqrt.f32 (PI.f32)) cosTheta)
(*.f32 cosTheta (sqrt.f32 (PI.f32)))
(sqrt.f32 (PI.f32))
(PI.f32)
(pow.f32 (exp.f32 (neg.f32 cosTheta)) cosTheta)
(pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))
(exp.f32 (neg.f32 cosTheta))
(neg.f32 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) (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 #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)))) (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 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (pow.f32 (exp.f32 cosTheta) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (/.f32 (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) cosTheta) (sqrt.f32 (PI.f32))) c)))
(/.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (/.f32 (pow.f32 (exp.f32 (neg.f32 cosTheta)) cosTheta) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (+.f32 #s(literal 1 binary32) c)))
#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) (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) (fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (pow.f32 (exp.f32 (neg.f32 cosTheta)) cosTheta) c))
(+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (pow.f32 (exp.f32 cosTheta) cosTheta)))
(+.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (/.f32 (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) cosTheta) (sqrt.f32 (PI.f32))) c))
(fma.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (/.f32 (pow.f32 (exp.f32 (neg.f32 cosTheta)) cosTheta) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (+.f32 #s(literal 1 binary32) c))
(+.f32 #s(literal 1 binary32) c)
c
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))
(*.f32 (pow.f32 (exp.f32 (neg.f32 cosTheta)) cosTheta) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)))
(*.f32 (pow.f32 (exp.f32 (neg.f32 cosTheta)) cosTheta) (/.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) cosTheta) (sqrt.f32 (PI.f32))))
(/.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (pow.f32 (exp.f32 cosTheta) cosTheta))
(/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 (pow.f32 (exp.f32 cosTheta) cosTheta) (*.f32 cosTheta (sqrt.f32 (PI.f32)))))
(/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 cosTheta (*.f32 (sqrt.f32 (PI.f32)) (pow.f32 (exp.f32 cosTheta) cosTheta))))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta))
(/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 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 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))
(sqrt.f32 (PI.f32))
(PI.f32)
(/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)
(/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) cosTheta)
(/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta)
(sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))
(sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))))
(sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)))
(-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)
(+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))
(fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))
(-.f32 #s(literal 1 binary32) cosTheta)
cosTheta
(exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))
(pow.f32 (exp.f32 (neg.f32 cosTheta)) cosTheta)
(pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))
(*.f32 (neg.f32 cosTheta) cosTheta)
(*.f32 cosTheta (neg.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 cosTheta (sqrt.f32 (PI.f32)))) (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 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 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (pow.f32 (exp.f32 cosTheta) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (/.f32 (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) cosTheta) (sqrt.f32 (PI.f32))) c)))
(/.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (/.f32 (pow.f32 (exp.f32 (neg.f32 cosTheta)) cosTheta) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (+.f32 #s(literal 1 binary32) c)))
#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) (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) (fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (pow.f32 (exp.f32 (neg.f32 cosTheta)) cosTheta) c))
(+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (pow.f32 (exp.f32 cosTheta) cosTheta)))
(+.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (/.f32 (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) cosTheta) (sqrt.f32 (PI.f32))) c))
(fma.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (/.f32 (pow.f32 (exp.f32 (neg.f32 cosTheta)) cosTheta) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (+.f32 #s(literal 1 binary32) c))
(/.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) cosTheta) (sqrt.f32 (PI.f32)))
(/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 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 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) cosTheta)
(/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)
(/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) cosTheta)
(/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta)
(sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))))
(sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))
(fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))
(*.f32 cosTheta #s(literal -2 binary32))
cosTheta
#s(literal -2 binary32)
(sqrt.f32 (PI.f32))
(PI.f32)
(pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))
(pow.f32 (exp.f32 (neg.f32 cosTheta)) cosTheta)
(exp.f32 cosTheta)
(neg.f32 cosTheta)
(+.f32 #s(literal 1 binary32) c)
c

localize232.0ms (1.5%)

Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) cosTheta)
✓accuracy99.8%
(sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))))
✓accuracy99.2%
(/.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)))
✓accuracy98.8%
(/.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) cosTheta) (sqrt.f32 (PI.f32)))
✓accuracy99.6%
(-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)
✓accuracy99.2%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
✓accuracy98.1%
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta))
✓accuracy96.9%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))
✓accuracy99.8%
(sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))))
✓accuracy99.2%
(/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))
✓accuracy99.2%
(/.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)))
✓accuracy98.9%
(*.f32 (sqrt.f32 (PI.f32)) cosTheta)
Results
165.0ms256×0valid
Compiler

Compiled 329 to 36 computations (89.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 106.0ms
ival-sub: 30.0ms (28.4% of total)
ival-div: 21.0ms (19.8% of total)
ival-pow: 18.0ms (17% of total)
ival-mult: 9.0ms (8.5% of total)
ival-exp: 7.0ms (6.6% of total)
ival-add: 6.0ms (5.7% of total)
ival-fma: 6.0ms (5.7% of total)
ival-sqrt: 6.0ms (5.7% of total)
ival-pi: 1.0ms (0.9% of total)
const: 1.0ms (0.9% of total)
ival-neg: 1.0ms (0.9% of total)
backward-pass: 0.0ms (0% of total)

series185.0ms (1.2%)

Counts
17 → 213
Calls
Call 1
Inputs
#<alt (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 cosTheta #s(literal -2 binary32))>
#<alt (*.f32 (sqrt.f32 (PI.f32)) cosTheta)>
#<alt (sqrt.f32 (PI.f32))>
#<alt (+.f32 #s(literal 1 binary32) c)>
#<alt (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))>
#<alt (PI.f32)>
#<alt (pow.f32 (exp.f32 cosTheta) (neg.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 (/.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 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) cosTheta)>
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 cosTheta (+.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 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 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 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 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 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 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 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 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 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 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 (/.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 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 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 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 (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 c (+.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))))))>
#<alt (*.f32 c (+.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))))))>
#<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))))) #s(literal 1 binary32))))>
#<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))))) #s(literal 1 binary32))))>
#<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))))) #s(literal 1 binary32))))>
#<alt (*.f32 #s(literal -2 binary32) cosTheta)>
#<alt (*.f32 #s(literal -2 binary32) cosTheta)>
#<alt (*.f32 #s(literal -2 binary32) cosTheta)>
#<alt (*.f32 #s(literal -2 binary32) cosTheta)>
#<alt (*.f32 #s(literal -2 binary32) cosTheta)>
#<alt (*.f32 #s(literal -2 binary32) cosTheta)>
#<alt (*.f32 #s(literal -2 binary32) cosTheta)>
#<alt (*.f32 #s(literal -2 binary32) cosTheta)>
#<alt (*.f32 #s(literal -2 binary32) cosTheta)>
#<alt (*.f32 #s(literal -2 binary32) cosTheta)>
#<alt (*.f32 #s(literal -2 binary32) cosTheta)>
#<alt (*.f32 #s(literal -2 binary32) cosTheta)>
#<alt (*.f32 cosTheta (sqrt.f32 (PI.f32)))>
#<alt (*.f32 cosTheta (sqrt.f32 (PI.f32)))>
#<alt (*.f32 cosTheta (sqrt.f32 (PI.f32)))>
#<alt (*.f32 cosTheta (sqrt.f32 (PI.f32)))>
#<alt (*.f32 cosTheta (sqrt.f32 (PI.f32)))>
#<alt (*.f32 cosTheta (sqrt.f32 (PI.f32)))>
#<alt (*.f32 cosTheta (sqrt.f32 (PI.f32)))>
#<alt (*.f32 cosTheta (sqrt.f32 (PI.f32)))>
#<alt (*.f32 cosTheta (sqrt.f32 (PI.f32)))>
#<alt (*.f32 cosTheta (sqrt.f32 (PI.f32)))>
#<alt (*.f32 cosTheta (sqrt.f32 (PI.f32)))>
#<alt (*.f32 cosTheta (sqrt.f32 (PI.f32)))>
#<alt #s(literal 1 binary32)>
#<alt c>
#<alt (*.f32 c (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) c)))>
#<alt (*.f32 c (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) c)))>
#<alt (*.f32 c (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) c)))>
#<alt c>
#<alt (*.f32 c (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) c)))>
#<alt (*.f32 c (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) c)))>
#<alt (*.f32 c (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) c)))>
#<alt #s(literal 1 binary32)>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/2 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) #s(literal 1 binary32))))>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/6 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))) #s(literal 1 binary32))))>
#<alt (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))>
#<alt (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))>
#<alt (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))>
#<alt (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))>
#<alt (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))>
#<alt (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))>
#<alt (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))>
#<alt (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 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 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 #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 (*.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)>
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#<alt (*.f32 (sqrt.f32 cosTheta) (sqrt.f32 #s(literal -2 binary32)))>
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#<alt (*.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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#<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 #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)))))))>
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#<alt (/.f32 #s(literal 1 binary32) c)>
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#<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)))))))))))>
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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))))))))))>
#<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)))))))>
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#<alt #s(literal 1 binary32)>
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#<alt (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32)))>
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#<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)))))))>
#<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 (/.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 (*.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)))))))>
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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) cosTheta)>
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#<alt (*.f32 #s(literal -1 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) (*.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 -1/2 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))))))>
#<alt (+.f32 (*.f32 #s(literal -1 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 -1/2 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 #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)))))))>
#<alt (+.f32 (*.f32 #s(literal -1 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 -1/2 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 (*.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 #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))))))))>
Calls

54 calls:

TimeVariablePointExpression
102.0ms
cosTheta
@0
(/ 1 (+ 1 (+ (* (/ (sqrt (+ 1 (* cosTheta -2))) (* (sqrt (PI)) cosTheta)) (pow (exp (neg cosTheta)) cosTheta)) c)))
11.0ms
c
@0
(+ (* (/ (sqrt (+ 1 (* cosTheta -2))) (* (sqrt (PI)) cosTheta)) (pow (exp (neg cosTheta)) cosTheta)) c)
5.0ms
cosTheta
@-inf
(/ 1 (+ 1 (+ (* (/ (sqrt (+ 1 (* cosTheta -2))) (* (sqrt (PI)) cosTheta)) (pow (exp (neg cosTheta)) cosTheta)) c)))
4.0ms
cosTheta
@inf
(/ 1 (+ 1 (+ (* (/ (sqrt (+ 1 (* cosTheta -2))) (* (sqrt (PI)) cosTheta)) (pow (exp (neg cosTheta)) cosTheta)) c)))
3.0ms
cosTheta
@-inf
(+ (* (/ (sqrt (+ 1 (* cosTheta -2))) (* (sqrt (PI)) cosTheta)) (pow (exp (neg cosTheta)) cosTheta)) c)

rewrite322.0ms (2.1%)

Algorithm
1×batch-egg-rewrite
Rules
362×frac-times
329×log1p-expm1-u
329×expm1-log1p-u
324×add-exp-log
323×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
042605
1788514
Stop Event
1×node limit
Counts
17 → 371
Calls
Call 1
Inputs
(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 cosTheta #s(literal -2 binary32))
(*.f32 (sqrt.f32 (PI.f32)) cosTheta)
(sqrt.f32 (PI.f32))
(+.f32 #s(literal 1 binary32) c)
(/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))
(PI.f32)
(pow.f32 (exp.f32 cosTheta) (neg.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 (/.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)))
(/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) cosTheta)
Outputs
(+.f32 (*.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) c)
(-.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) c)) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) c))
(*.f32 (cbrt.f32 (pow.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) c) #s(literal 2 binary32))) (cbrt.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) c)))
(*.f32 (sqrt.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) c)) (sqrt.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) c)))
(pow.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) c) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) c)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) c) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) c)) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) c) #s(literal 2 binary32)))
(log.f32 (exp.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) c)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) c))))
(cbrt.f32 (pow.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) c) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) c)))
(log1p.f32 (expm1.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) c)))
(exp.f32 (log.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) c)))
(exp.f32 (*.f32 (log.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) c)) #s(literal 1 binary32)))
(-.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) #s(literal 1 binary32))
(pow.f32 (*.f32 cosTheta #s(literal -2 binary32)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 3 binary32))
(pow.f32 (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) #s(literal -8 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (*.f32 cosTheta #s(literal -2 binary32)) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 cosTheta) #s(literal -2 binary32)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 cosTheta #s(literal -2 binary32)))))
(cbrt.f32 (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) #s(literal -8 binary32)))
(expm1.f32 (log1p.f32 (*.f32 cosTheta #s(literal -2 binary32))))
(log1p.f32 (expm1.f32 (*.f32 cosTheta #s(literal -2 binary32))))
(exp.f32 (log.f32 (*.f32 cosTheta #s(literal -2 binary32))))
(exp.f32 (*.f32 (log.f32 (*.f32 cosTheta #s(literal -2 binary32))) #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))
(sqrt.f32 (pow.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 (sqrt.f32 (PI.f32)))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))
(*.f32 (cbrt.f32 (PI.f32)) (cbrt.f32 (sqrt.f32 (PI.f32))))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (pow.f32 (PI.f32) #s(literal 1/4 binary32)))
(*.f32 (pow.f32 #s(literal 1 binary32) #s(literal 1/2 binary32)) (sqrt.f32 (PI.f32)))
(*.f32 (pow.f32 (cbrt.f32 (pow.f32 (PI.f32) #s(literal 2 binary32))) #s(literal 1/2 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 1/2 binary32)))
(*.f32 (sqrt.f32 (cbrt.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 (cbrt.f32 (PI.f32))))
(pow.f32 (PI.f32) #s(literal 1/2 binary32))
(pow.f32 (sqrt.f32 (PI.f32)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (sqrt.f32 (PI.f32))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) #s(literal 1/3 binary32))
(pow.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) #s(literal 2 binary32))
(fabs.f32 (sqrt.f32 (PI.f32)))
(log.f32 (exp.f32 (sqrt.f32 (PI.f32))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (sqrt.f32 (PI.f32)))))
(cbrt.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)))
(expm1.f32 (log1p.f32 (sqrt.f32 (PI.f32))))
(log1p.f32 (expm1.f32 (sqrt.f32 (PI.f32))))
(exp.f32 (log.f32 (sqrt.f32 (PI.f32))))
(exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 1/2 binary32)))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (PI.f32))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (+.f32 #s(literal 1 binary32) c))) #s(literal 1 binary32))
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) c)) (/.f32 (pow.f32 c #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) c)))
(*.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c))
(*.f32 (cbrt.f32 (pow.f32 (+.f32 #s(literal 1 binary32) c) #s(literal 2 binary32))) (cbrt.f32 (+.f32 #s(literal 1 binary32) c)))
(*.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) c)) (sqrt.f32 (+.f32 #s(literal 1 binary32) c)))
(/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 c #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 c #s(literal 2 binary32)) c)))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 c #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) c))
(/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (pow.f32 c #s(literal 3 binary32)))) (neg.f32 (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 c #s(literal 2 binary32)) c))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 c #s(literal 2 binary32)))) (neg.f32 (-.f32 #s(literal 1 binary32) c)))
(pow.f32 (+.f32 #s(literal 1 binary32) c) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (+.f32 #s(literal 1 binary32) c)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) c) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) c)) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (+.f32 #s(literal 1 binary32) c) #s(literal 2 binary32)))
(log.f32 (exp.f32 (+.f32 #s(literal 1 binary32) c)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (+.f32 #s(literal 1 binary32) c))))
(cbrt.f32 (pow.f32 (+.f32 #s(literal 1 binary32) c) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (+.f32 #s(literal 1 binary32) c)))
(log1p.f32 (expm1.f32 (+.f32 #s(literal 1 binary32) c)))
(exp.f32 (log1p.f32 c))
(exp.f32 (*.f32 (log1p.f32 c) #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) c #s(literal 1 binary32))
(fma.f32 (pow.f32 (cbrt.f32 c) #s(literal 2 binary32)) (cbrt.f32 c) #s(literal 1 binary32))
(fma.f32 (sqrt.f32 c) (sqrt.f32 c) #s(literal 1 binary32))
(-.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 (/.f32 #s(literal 1 binary32) (PI.f32))) (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))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))
(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 (PI.f32))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (PI.f32))
(*.f32 (sqrt.f32 (PI.f32)) (sqrt.f32 (PI.f32)))
(*.f32 (cbrt.f32 (pow.f32 (PI.f32) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))
(pow.f32 (PI.f32) #s(literal 1 binary32))
(pow.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32))
(pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) #s(literal 1/2 binary32))
(pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(sqrt.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)))
(log.f32 (exp.f32 (PI.f32)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (PI.f32))))
(cbrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) (pow.f32 (PI.f32) #s(literal 3/2 binary32))))
(expm1.f32 (log1p.f32 (PI.f32)))
(log1p.f32 (expm1.f32 (PI.f32)))
(exp.f32 (log.f32 (PI.f32)))
(exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))
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(exp.f32 (log.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta)))
(exp.f32 (*.f32 (log.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta)) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (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 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.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 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.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 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c)))))
(*.f32 (pow.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.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 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c)) #s(literal -1/2 binary32)))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.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 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.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 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.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 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.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 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.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 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.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 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.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 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.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 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.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 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32)) #s(literal -1 binary32))
(sqrt.f32 (pow.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c)) #s(literal -2 binary32)))
(log.f32 (exp.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (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 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.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 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.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 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.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 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c)))))
(exp.f32 (neg.f32 (log.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c)))))
(exp.f32 (*.f32 (log.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.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 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c)))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta))
(*.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) cosTheta))
(*.f32 (cbrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)))) (cbrt.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta)))
(*.f32 (sqrt.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta)) (sqrt.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta)))
(pow.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta)) #s(literal 2 binary32))
(pow.f32 (/.f32 cosTheta (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)))) #s(literal -1 binary32))
(sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32))))
(log.f32 (exp.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta))))
(cbrt.f32 (pow.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta) #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 cosTheta #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta)))
(log1p.f32 (expm1.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta)))
(exp.f32 (log.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta)))
(exp.f32 (*.f32 (log.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta)) #s(literal 1 binary32)))

simplify485.0ms (3.2%)

Algorithm
1×egg-herbie
Rules
1506×associate-*r*
1118×fma-define
1084×times-frac
578×*-commutative
544×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0124645253
1309742842
Stop Event
1×node limit
Counts
584 → 694
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 cosTheta (+.f32 c (*.f32 #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 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)
(/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (+.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)
(+.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 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))))))
(+.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)))))))
(+.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))))))))
(+.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 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)))))))
(+.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))))))))
(+.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)))))))))
(*.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 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 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 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)))))
c
(*.f32 c (+.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 c (+.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 c (+.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
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#s(literal 1 binary32)
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(/.f32 (neg.f32 (-.f32 (pow.f32 (+.f32 #s(literal 1 binary32) cosTheta) #s(literal 3 binary32)) (pow.f32 cosTheta #s(literal 3 binary32)))) (neg.f32 (+.f32 (pow.f32 (+.f32 #s(literal 1 binary32) cosTheta) #s(literal 2 binary32)) (fma.f32 cosTheta cosTheta (*.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta)))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (+.f32 #s(literal 1 binary32) cosTheta) #s(literal 2 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)))) (neg.f32 (+.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta)))
(pow.f32 (+.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 1 binary32))
(pow.f32 (sqrt.f32 (+.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta)) #s(literal 2 binary32))
(pow.f32 (cbrt.f32 (+.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (+.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 2 binary32)) #s(literal 1/2 binary32))
(pow.f32 (pow.f32 (+.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(sqrt.f32 (pow.f32 (+.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 2 binary32)))
(log.f32 (exp.f32 (+.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (+.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta))))
(cbrt.f32 (pow.f32 (+.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (+.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 3/2 binary32)) (pow.f32 (+.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 3/2 binary32))))
(expm1.f32 (log1p.f32 (+.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta)))
(log1p.f32 (expm1.f32 (+.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta)))
(exp.f32 (log.f32 (+.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta)))
(exp.f32 (*.f32 (log.f32 (+.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta)) #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) cosTheta) cosTheta)
(fma.f32 (cbrt.f32 (pow.f32 (+.f32 #s(literal 1 binary32) cosTheta) #s(literal 2 binary32))) (cbrt.f32 (+.f32 #s(literal 1 binary32) cosTheta)) cosTheta)
(fma.f32 (hypot.f32 #s(literal 1 binary32) (sqrt.f32 cosTheta)) (hypot.f32 #s(literal 1 binary32) (sqrt.f32 cosTheta)) cosTheta)
(-.f32 (exp.f32 (log1p.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta))
(*.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32)))))
(*.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta) (pow.f32 (PI.f32) #s(literal -1/2 binary32)))
(*.f32 (cbrt.f32 (/.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (cbrt.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta)))
(*.f32 (sqrt.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta)) (sqrt.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta)))
(pow.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta)) #s(literal 2 binary32))
(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 (/.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32))) (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)))) #s(literal -1 binary32))
(sqrt.f32 (/.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32))) (PI.f32)))
(log.f32 (exp.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta))))
(cbrt.f32 (pow.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) 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 (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))))
(cbrt.f32 (/.f32 (pow.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta) #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3/2 binary32))))
(expm1.f32 (log1p.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta)))
(log1p.f32 (expm1.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta)))
(exp.f32 (log.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta)))
(exp.f32 (*.f32 (log.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta)) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (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 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.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 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.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 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c)))))
(*.f32 (pow.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.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 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c)) #s(literal -1/2 binary32)))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.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 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.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 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.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 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.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 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.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 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.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 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.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 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.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 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.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 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32)) #s(literal -1 binary32))
(sqrt.f32 (pow.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c)) #s(literal -2 binary32)))
(log.f32 (exp.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (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 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.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 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.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 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.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 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c)))))
(exp.f32 (neg.f32 (log.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c)))))
(exp.f32 (*.f32 (log.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.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 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c)))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta))
(*.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) cosTheta))
(*.f32 (cbrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)))) (cbrt.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta)))
(*.f32 (sqrt.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta)) (sqrt.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta)))
(pow.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta)) #s(literal 2 binary32))
(pow.f32 (/.f32 cosTheta (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)))) #s(literal -1 binary32))
(sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32))))
(log.f32 (exp.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta))))
(cbrt.f32 (pow.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta) #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 cosTheta #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta)))
(log1p.f32 (expm1.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta)))
(exp.f32 (log.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta)))
(exp.f32 (*.f32 (log.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta)) #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 cosTheta (+.f32 c (*.f32 #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 c (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))) cosTheta)
(/.f32 (fma.f32 cosTheta (-.f32 c (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 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)
(/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (+.f32 c (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 (+.f32 c (-.f32 (*.f32 (*.f32 cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal -3/2 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 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)
(/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (+.f32 c (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 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))))) cosTheta)
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(+.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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#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) cosTheta))
(+.f32 #s(literal 1 binary32) (neg.f32 cosTheta))
(-.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 (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))
(+.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))))
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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 (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 1/2 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 (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 (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)))))
(neg.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))) (sqrt.f32 cosTheta)))
(*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))) (neg.f32 (sqrt.f32 cosTheta)))
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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 cosTheta (neg.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 (*.f32 #s(literal 1/2 binary32) (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 #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 (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 cosTheta (neg.f32 (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 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) cosTheta)) (*.f32 (*.f32 #s(literal 1/2 binary32) (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 #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 (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 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) cosTheta)) (*.f32 (*.f32 #s(literal 1/2 binary32) (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 (/.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)
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#s(literal 1 binary32)
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(*.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) cosTheta))
(/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta)
(*.f32 (cbrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)))) (cbrt.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta)))
(*.f32 (sqrt.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta)) (sqrt.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta)))
(/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta)
(pow.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta) #s(literal 1 binary32))
(/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta)
(pow.f32 (cbrt.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta)) #s(literal 3 binary32))
(/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta)
(pow.f32 (pow.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta)
(pow.f32 (sqrt.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta)) #s(literal 2 binary32))
(/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta)
(pow.f32 (/.f32 cosTheta (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)))) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 cosTheta (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)))))
(sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32))))
(log.f32 (exp.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta)))
(/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta)
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta))))
(/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta)
(cbrt.f32 (pow.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta) #s(literal 3 binary32)))
(/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta)
(cbrt.f32 (/.f32 (pow.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) #s(literal 3/2 binary32)) (pow.f32 cosTheta #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta)))
(log1p.f32 (expm1.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta)))
(/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta)
(exp.f32 (log.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta)))
(/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta)
(exp.f32 (*.f32 (log.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta)) #s(literal 1 binary32)))
(/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta)

eval158.0ms (1%)

Compiler

Compiled 30972 to 4653 computations (85% saved)

prune242.0ms (1.6%)

Pruning

26 alts after pruning (26 fresh and 0 done)

PrunedKeptTotal
New86526891
Fresh000
Picked303
Done000
Total86826894
Accuracy
100.0%
Counts
894 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
94.7%
(pow.f32 (pow.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c)) #s(literal -1/2 binary32)) #s(literal 2 binary32))
93.8%
(pow.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c)))) #s(literal 3 binary32))
▶94.6%
(pow.f32 (sqrt.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c))) #s(literal -2 binary32))
60.7%
(/.f32 (cbrt.f32 (pow.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.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 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c))))
90.8%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (pow.f32 (sqrt.f32 (/.f32 (sqrt.f32 (+.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 cosTheta (sqrt.f32 (PI.f32))))) #s(literal 2 binary32)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
90.5%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (pow.f32 (cbrt.f32 (/.f32 (sqrt.f32 (+.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 cosTheta (sqrt.f32 (PI.f32))))) #s(literal 3 binary32)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
91.4%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (/.f32 (sqrt.f32 (+.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
▶98.0%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
97.9%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (*.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 2 binary32)))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
52.6%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (sqrt.f32 (/.f32 (/.f32 (+.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta) (pow.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
52.6%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 2 binary32))))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
95.7%
(/.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)))
94.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (+.f32 c (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))) cosTheta)))
91.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))
98.0%
(/.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)))))))
▶97.5%
(/.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))))))
91.5%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))
97.4%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.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)))))
▶60.2%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 c (+.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))))))))
11.0%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c))
▶5.3%
(/.f32 #s(literal 1 binary32) c)
98.0%
(+.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)))))))
94.1%
(*.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c)))) (/.f32 #s(literal 1 binary32) (pow.f32 (cbrt.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c))) #s(literal 2 binary32))))
95.5%
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))
96.5%
(*.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 c (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) #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 c (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))))
60.6%
(sqrt.f32 (pow.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c)) #s(literal -2 binary32)))
Compiler

Compiled 1444 to 878 computations (39.2% saved)

simplify98.0ms (0.6%)

Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c))
✓cost-diff0
(sqrt.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c)))
✓cost-diff0
(pow.f32 (sqrt.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c))) #s(literal -2 binary32))
✓cost-diff3136
(fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))
✓cost-diff0
(pow.f32 cosTheta #s(literal 2 binary32))
✓cost-diff32
(*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))
✓cost-diff32
(exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))
✓cost-diff32
(/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 c cosTheta))
✓cost-diff0
(pow.f32 cosTheta #s(literal 2 binary32))
✓cost-diff32
(*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))
✓cost-diff32
(exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))
✓cost-diff32
(/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)
✓cost-diff0
(/.f32 #s(literal 1 binary32) c)
✓cost-diff3360
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta))
✓cost-diff6432
(pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32))
✓cost-diff6432
(sqrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)))
✓cost-diff6432
(/.f32 #s(literal 1 binary32) (sqrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32))))
Rules
1414×fma-neg
1360×fma-define
826×associate-/r*
822×distribute-rgt-neg-in
808×neg-mul-1
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0621755
11351621
22881617
37181572
416051572
527311572
655071572
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 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
#s(literal 1 binary32)
(+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 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) c)
c
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32))))
(sqrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)))
(pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32))
(cbrt.f32 (PI.f32))
(PI.f32)
#s(literal 3 binary32)
(/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)
(sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))
(-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)
(-.f32 #s(literal 1 binary32) cosTheta)
cosTheta
(exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))
(*.f32 (neg.f32 cosTheta) cosTheta)
(neg.f32 cosTheta)
(/.f32 #s(literal 1 binary32) c)
#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)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.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 (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 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)
(exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))
(*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))
#s(literal -1 binary32)
(pow.f32 cosTheta #s(literal 2 binary32))
cosTheta
#s(literal 2 binary32)
(sqrt.f32 (/.f32 (-.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 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))
(*.f32 #s(literal 2 binary32) cosTheta)
(PI.f32)
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 c (+.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))))))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 c (+.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 c (+.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
(+.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 (/.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 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 c cosTheta))
(exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))
(*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))
#s(literal -1 binary32)
(pow.f32 cosTheta #s(literal 2 binary32))
cosTheta
#s(literal 2 binary32)
(*.f32 c 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 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta))
(*.f32 #s(literal -2 binary32) cosTheta)
#s(literal -2 binary32)
(PI.f32)
(pow.f32 (sqrt.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c))) #s(literal -2 binary32))
(sqrt.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c)))
(fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c))
(/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta)
(sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))
(/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))
(fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))
cosTheta
#s(literal -2 binary32)
#s(literal 1 binary32)
(PI.f32)
(exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))
(pow.f32 cosTheta #s(literal 2 binary32))
#s(literal 2 binary32)
(+.f32 #s(literal 1 binary32) c)
c
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) cosTheta) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) 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) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)))))
(/.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 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))))))
#s(literal 1 binary32)
(+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))
(+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) cosTheta) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))))
(fma.f32 (/.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta) (sqrt.f32 (PI.f32))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))
(+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))
(+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))))
(+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)))))
(+.f32 #s(literal 1 binary32) c)
c
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) cosTheta) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))
(*.f32 (/.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta) (sqrt.f32 (PI.f32))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))
(/.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))
(/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) cosTheta))
(/.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta) (sqrt.f32 (PI.f32)))
(/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))
(sqrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)))
(sqrt.f32 (PI.f32))
(pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32))
(PI.f32)
(cbrt.f32 (PI.f32))
(PI.f32)
#s(literal 3 binary32)
(/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)
(/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) cosTheta)
(/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta)
(sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))
(sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)))
(sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)))
(-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)
(-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))
(fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))
(-.f32 #s(literal 1 binary32) cosTheta)
cosTheta
(exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))
(exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))
(*.f32 (neg.f32 cosTheta) cosTheta)
(neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))
(neg.f32 cosTheta)
(/.f32 #s(literal 1 binary32) c)
#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)))) 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 #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)))
(/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))))
#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 (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 (/.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))
(fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 cosTheta (exp.f32 (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 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.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))))
(*.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta))
(/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))
(/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)
(/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)
(exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))
(exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))
(*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))
(neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))
#s(literal -1 binary32)
(pow.f32 cosTheta #s(literal 2 binary32))
cosTheta
#s(literal 2 binary32)
(sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))
(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 2 binary32) cosTheta)) (PI.f32))
(/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))
(-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))
(-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))
(fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))
(*.f32 #s(literal 2 binary32) cosTheta)
(*.f32 cosTheta #s(literal 2 binary32))
(PI.f32)
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 c (+.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) (*.f32 c (+.f32 #s(literal 1 binary32) (*.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)))) (*.f32 c cosTheta)))))))
(/.f32 #s(literal 1 binary32) (fma.f32 c (fma.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)))) (*.f32 c cosTheta)) #s(literal 1 binary32)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 c (fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 c cosTheta)) #s(literal 1 binary32)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))))
(/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (+.f32 #s(literal 1 binary32) c)))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 c (+.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 c (+.f32 #s(literal 1 binary32) (*.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)))) (*.f32 c cosTheta))))))
(fma.f32 c (fma.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)))) (*.f32 c cosTheta)) #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 c (fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 c cosTheta)) #s(literal 1 binary32)) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))))
(+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))
(fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (+.f32 #s(literal 1 binary32) c))
(*.f32 c (+.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 c (+.f32 #s(literal 1 binary32) (*.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)))) (*.f32 c cosTheta)))))
(*.f32 c (fma.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)))) (*.f32 c cosTheta)) #s(literal 1 binary32)))
(*.f32 c (fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 c cosTheta)) #s(literal 1 binary32)))
(+.f32 c (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))
(fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) c)
c
(+.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 (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)))) (*.f32 c cosTheta))))
(fma.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)))) (*.f32 c cosTheta)) #s(literal 1 binary32))
(fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 c cosTheta)) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 c (*.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 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 (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)))) (*.f32 c cosTheta)))
(*.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 c cosTheta)))
(/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 c (*.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))
(/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 c cosTheta))
(/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 c cosTheta))
(exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))
(exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))
(*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))
(neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))
#s(literal -1 binary32)
(pow.f32 cosTheta #s(literal 2 binary32))
cosTheta
#s(literal 2 binary32)
(*.f32 c cosTheta)
(sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))
(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 -2 binary32) cosTheta)) (PI.f32))
(/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta))
(-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))
(fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))
(*.f32 #s(literal -2 binary32) cosTheta)
(*.f32 cosTheta #s(literal -2 binary32))
#s(literal -2 binary32)
(PI.f32)
(pow.f32 (sqrt.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c))) #s(literal -2 binary32))
(pow.f32 (sqrt.f32 (+.f32 c (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) #s(literal 1 binary32)))) #s(literal -2 binary32))
(pow.f32 (sqrt.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) cosTheta) (+.f32 #s(literal 1 binary32) c))) #s(literal -2 binary32))
(sqrt.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c)))
(sqrt.f32 (+.f32 c (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) #s(literal 1 binary32))))
(sqrt.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) cosTheta) (+.f32 #s(literal 1 binary32) c)))
(fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c))
(+.f32 c (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) #s(literal 1 binary32)))
(fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) cosTheta) (+.f32 #s(literal 1 binary32) c))
(/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta)
(sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))
(/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))
(fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))
(-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))
cosTheta
#s(literal -2 binary32)
#s(literal 1 binary32)
(PI.f32)
(exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))
(pow.f32 cosTheta #s(literal 2 binary32))
#s(literal 2 binary32)
(+.f32 #s(literal 1 binary32) c)
c

localize259.0ms (1.7%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy99.6%
(sqrt.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c)))
✓accuracy98.3%
(pow.f32 (sqrt.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c))) #s(literal -2 binary32))
✓accuracy98.2%
(/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta)
✓accuracy97.7%
(sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))
✓accuracy99.2%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 c (+.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))))))))
✓accuracy98.8%
(*.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))))
✓accuracy97.7%
(sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))
✓accuracy61.0%
(*.f32 c (+.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))))))
✓accuracy99.7%
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))
✓accuracy99.2%
(/.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))))))
✓accuracy98.3%
(*.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))))
✓accuracy97.7%
(sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))
✓accuracy100.0%
(/.f32 #s(literal 1 binary32) c)
✓accuracy99.2%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
✓accuracy98.1%
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta))
✓accuracy96.9%
(pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32))
✓accuracy96.9%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32))))
Results
174.0ms256×0valid
Compiler

Compiled 535 to 56 computations (89.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 106.0ms
ival-div: 24.0ms (22.7% of total)
ival-mult: 22.0ms (20.8% of total)
ival-sqrt: 15.0ms (14.2% of total)
ival-pow: 14.0ms (13.3% of total)
ival-add: 11.0ms (10.4% of total)
ival-exp: 6.0ms (5.7% of total)
ival-fma: 6.0ms (5.7% of total)
ival-sub: 4.0ms (3.8% of total)
ival-cbrt: 2.0ms (1.9% of total)
ival-pi: 1.0ms (0.9% of total)
const: 1.0ms (0.9% of total)
ival-neg: 1.0ms (0.9% of total)
backward-pass: 0.0ms (0% of total)

series356.0ms (2.4%)

Counts
25 → 273
Calls
Call 1
Inputs
#<alt (/.f32 #s(literal 1 binary32) (sqrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32))))>
#<alt (sqrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)))>
#<alt (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32))>
#<alt (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta))>
#<alt (/.f32 #s(literal 1 binary32) c)>
#<alt (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)>
#<alt (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))>
#<alt (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))>
#<alt (pow.f32 cosTheta #s(literal 2 binary32))>
#<alt (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 c cosTheta))>
#<alt (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))>
#<alt (pow.f32 (sqrt.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c))) #s(literal -2 binary32))>
#<alt (sqrt.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c)))>
#<alt (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c))>
#<alt (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) 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 c (+.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))))))>
#<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 #s(literal 1 binary32) (*.f32 c (+.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))))))))>
#<alt (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))>
#<alt (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta)>
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) cosTheta)>
#<alt (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)>
#<alt (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/2 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) #s(literal 1 binary32)))) cosTheta)>
#<alt (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/6 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))) #s(literal 1 binary32)))) cosTheta)>
#<alt #s(literal 1 binary32)>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/2 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) #s(literal 1 binary32))))>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/6 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))) #s(literal 1 binary32))))>
#<alt (/.f32 #s(literal 1 binary32) (*.f32 c cosTheta))>
#<alt (/.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c)) (/.f32 #s(literal 1 binary32) c)) cosTheta)>
#<alt (/.f32 (+.f32 (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c)) (/.f32 #s(literal 1 binary32) c))) (/.f32 #s(literal 1 binary32) c)) cosTheta)>
#<alt (/.f32 (+.f32 (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c)) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) c)))) (/.f32 #s(literal 1 binary32) c))) (/.f32 #s(literal 1 binary32) c)) cosTheta)>
#<alt #s(literal 1 binary32)>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta))>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta))>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta))>
#<alt (*.f32 #s(literal -2 binary32) cosTheta)>
#<alt (*.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 2 binary32)))>
#<alt (*.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 2 binary32)))>
#<alt (*.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 2 binary32)))>
#<alt (*.f32 #s(literal -2 binary32) cosTheta)>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) cosTheta))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) cosTheta))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) cosTheta))))>
#<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 (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 (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 (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 (*.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))) (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 (*.f32 #s(literal -1/4 binary32) (/.f32 (*.f32 cosTheta (pow.f32 (exp.f32 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (pow.f32 cosTheta #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))))))) #s(literal 2 binary32)))))))>
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#<alt (*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/4 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) cosTheta)))>
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#<alt (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (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 (sqrt.f32 c)>
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#<alt (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 c) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32))))>
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#<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)))))))>
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#<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))))))))>
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#<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))))))>
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#<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)))))))>
#<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 (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)))))))) (*.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 (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 (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 (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 (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 (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 (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 (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 #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) (*.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 (/.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)))))>
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#<alt (+.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 c (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))))) (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 c (sqrt.f32 #s(literal -2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.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)))))))>
#<alt (+.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 c (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))))) (+.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 c (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 7 binary32)) (PI.f32)))))) (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 c (sqrt.f32 #s(literal -2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.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))))))))>
#<alt (*.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))))))>
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#<alt (+.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 (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 c (sqrt.f32 #s(literal 2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))))) (*.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 c (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 5 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)))))))>
#<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)))))))>
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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)>
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#<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)))>
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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) (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))) #s(literal 2 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 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (*.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 #s(literal 1 binary32) (+.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)))) (sqrt.f32 #s(literal -2 binary32))) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))))))))>
#<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 #s(literal 1 binary32) (*.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)))))))) #s(literal 2 binary32)))))) (/.f32 #s(literal 1 binary32) (+.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)))) (sqrt.f32 #s(literal -2 binary32))) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))))))))))>
#<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 #s(literal 1 binary32) (*.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)))))))) #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 #s(literal 1 binary32) (*.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)))))))) #s(literal 2 binary32))))))) (pow.f32 cosTheta #s(literal 4 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.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 1/2 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 #s(literal 1 binary32) (*.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)))))))) #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 #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))))))))))>
#<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 #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))))))))) #s(literal 2 binary32)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 c (+.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 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))))))))))>
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#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 #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))))))))) #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))) (*.f32 (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 3 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(sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))))))))) #s(literal 3 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 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)))>
#<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)))))))>
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#<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))))>
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#<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)))))>
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#<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

90 calls:

TimeVariablePointExpression
112.0ms
cosTheta
@-inf
(pow (sqrt (+ (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (pow cosTheta 2))) (+ 1 c))) -2)
7.0ms
cosTheta
@-inf
(sqrt (+ (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (pow cosTheta 2))) (+ 1 c)))
6.0ms
cosTheta
@-inf
(/ 1 (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))
5.0ms
cosTheta
@-inf
(/ 1 (+ 1 (* c (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))))))
5.0ms
cosTheta
@0
(/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta))

rewrite378.0ms (2.5%)

Algorithm
1×batch-egg-rewrite
Rules
461×log1p-expm1-u
461×expm1-log1p-u
451×add-exp-log
449×add-log-exp
443×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
062967
11206929
Stop Event
1×node limit
Counts
25 → 493
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (sqrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32))))
(sqrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)))
(pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta))
(/.f32 #s(literal 1 binary32) c)
(/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)
(exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))
(*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))
(pow.f32 cosTheta #s(literal 2 binary32))
(/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 c cosTheta))
(fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))
(pow.f32 (sqrt.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c))) #s(literal -2 binary32))
(sqrt.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c)))
(fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) 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 c (+.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))))))
(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 #s(literal 1 binary32) (*.f32 c (+.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))))))))
(sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))
(/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta)
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 (/.f32 #s(literal 1 binary32) (PI.f32))) (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 (sqrt.f32 (sqrt.f32 (PI.f32))) #s(literal -1 binary32)) (pow.f32 (sqrt.f32 (sqrt.f32 (PI.f32))) #s(literal -1 binary32)))
(pow.f32 (PI.f32) #s(literal -1/2 binary32))
(pow.f32 (cbrt.f32 (PI.f32)) #s(literal -3/2 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 (sqrt.f32 (PI.f32)))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))
(*.f32 (cbrt.f32 (PI.f32)) (cbrt.f32 (sqrt.f32 (PI.f32))))
(*.f32 (sqrt.f32 (sqrt.f32 (PI.f32))) (sqrt.f32 (sqrt.f32 (PI.f32))))
(*.f32 (sqrt.f32 (cbrt.f32 (PI.f32))) (pow.f32 (cbrt.f32 (pow.f32 (PI.f32) #s(literal 2 binary32))) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 #s(literal 1 binary32) #s(literal 1/2 binary32)) (sqrt.f32 (PI.f32)))
(*.f32 (pow.f32 (cbrt.f32 (pow.f32 (PI.f32) #s(literal 2 binary32))) #s(literal 1/2 binary32)) (sqrt.f32 (cbrt.f32 (PI.f32))))
(*.f32 (pow.f32 #s(literal 1 binary32) #s(literal 3/2 binary32)) (sqrt.f32 (PI.f32)))
(*.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 3/2 binary32)) (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) #s(literal 3/2 binary32)))
(*.f32 (pow.f32 (sqrt.f32 (cbrt.f32 (PI.f32))) #s(literal 3/2 binary32)) (pow.f32 (sqrt.f32 (cbrt.f32 (PI.f32))) #s(literal 3/2 binary32)))
(pow.f32 (PI.f32) #s(literal 1/2 binary32))
(pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3/2 binary32))
(pow.f32 (sqrt.f32 (PI.f32)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (sqrt.f32 (PI.f32))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (sqrt.f32 (PI.f32))) #s(literal 2 binary32))
(log.f32 (exp.f32 (sqrt.f32 (PI.f32))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (sqrt.f32 (PI.f32)))))
(cbrt.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)))
(expm1.f32 (log1p.f32 (sqrt.f32 (PI.f32))))
(log1p.f32 (expm1.f32 (sqrt.f32 (PI.f32))))
(exp.f32 (log.f32 (sqrt.f32 (PI.f32))))
(exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 1/2 binary32)))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (PI.f32))) #s(literal 3/2 binary32)))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (PI.f32))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (PI.f32))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (PI.f32))
(*.f32 (cbrt.f32 (PI.f32)) (cbrt.f32 (pow.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 (sqrt.f32 (PI.f32)) (sqrt.f32 (PI.f32)))
(*.f32 (cbrt.f32 (pow.f32 (PI.f32) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))
(*.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 3 binary32)) (cbrt.f32 (PI.f32)))
(*.f32 (pow.f32 (sqrt.f32 (cbrt.f32 (PI.f32))) #s(literal 3 binary32)) (pow.f32 (sqrt.f32 (cbrt.f32 (PI.f32))) #s(literal 3 binary32)))
(log.f32 (exp.f32 (PI.f32)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (PI.f32))))
(cbrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) (pow.f32 (PI.f32) #s(literal 3/2 binary32))))
(PI.f32)
(expm1.f32 (log1p.f32 (PI.f32)))
(log1p.f32 (expm1.f32 (PI.f32)))
(exp.f32 (log.f32 (PI.f32)))
(exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)))) #s(literal 1 binary32))
(/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))
(/.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta) (sqrt.f32 (PI.f32)))
(/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)))) cosTheta)
(pow.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))) #s(literal 2 binary32))
(log.f32 (exp.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)))))
(cbrt.f32 (pow.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.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 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) 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 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta) #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3/2 binary32))))
(expm1.f32 (log1p.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))))
(log1p.f32 (expm1.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))))
(exp.f32 (log.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))))
(exp.f32 (*.f32 (log.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (/.f32 #s(literal 1 binary32) c))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) c))
(*.f32 (cbrt.f32 (pow.f32 c #s(literal -2 binary32))) (/.f32 #s(literal 1 binary32) (cbrt.f32 c)))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) c)) (sqrt.f32 (/.f32 #s(literal 1 binary32) c)))
(*.f32 (pow.f32 (cbrt.f32 (pow.f32 c #s(literal 2 binary32))) #s(literal -1 binary32)) (pow.f32 (cbrt.f32 c) #s(literal -1 binary32)))
(*.f32 (pow.f32 (sqrt.f32 c) #s(literal -1 binary32)) (pow.f32 (sqrt.f32 c) #s(literal -1 binary32)))
(pow.f32 c #s(literal -1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) c) #s(literal 1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 c)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 #s(literal 1 binary32) c) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) c)) #s(literal 2 binary32))
(pow.f32 (/.f32 c #s(literal 1 binary32)) #s(literal -1 binary32))
(log.f32 (exp.f32 (/.f32 #s(literal 1 binary32) c)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 #s(literal 1 binary32) c))))
(cbrt.f32 (pow.f32 (/.f32 #s(literal 1 binary32) c) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (/.f32 #s(literal 1 binary32) c)))
(log1p.f32 (expm1.f32 (/.f32 #s(literal 1 binary32) c)))
(exp.f32 (neg.f32 (log.f32 c)))
(exp.f32 (*.f32 (log.f32 c) #s(literal -1 binary32)))
(exp.f32 (*.f32 (neg.f32 (log.f32 c)) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta))
(*.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) cosTheta))
(*.f32 (pow.f32 (cbrt.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)) #s(literal 2 binary32)) (cbrt.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)))
(*.f32 (sqrt.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)) (sqrt.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)))
(pow.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)) #s(literal 2 binary32))
(pow.f32 (/.f32 cosTheta (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))) #s(literal -1 binary32))
(log.f32 (exp.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta))))
(cbrt.f32 (pow.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) #s(literal 3 binary32)))
(cbrt.f32 (/.f32 (pow.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 3 binary32)) (pow.f32 cosTheta #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)))
(log1p.f32 (expm1.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)))
(exp.f32 (-.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (log.f32 cosTheta)))
(exp.f32 (*.f32 (-.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (log.f32 cosTheta)) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))
(*.f32 (pow.f32 (cbrt.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))) #s(literal 2 binary32)) (cbrt.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))
(*.f32 (sqrt.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))) (sqrt.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))
(/.f32 #s(literal 1 binary32) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))
(pow.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 1 binary32))
(pow.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) #s(literal -1 binary32))
(pow.f32 (exp.f32 (neg.f32 cosTheta)) cosTheta)
(pow.f32 (exp.f32 (neg.f32 cosTheta)) (*.f32 cosTheta #s(literal 1 binary32)))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (pow.f32 cosTheta #s(literal 2 binary32)))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))
(pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))
(pow.f32 (cbrt.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))) #s(literal 3 binary32))
(pow.f32 (pow.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 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))) #s(literal 2 binary32))
(pow.f32 (pow.f32 (exp.f32 (neg.f32 cosTheta)) (pow.f32 (cbrt.f32 cosTheta) #s(literal 2 binary32))) (cbrt.f32 cosTheta))
(pow.f32 (pow.f32 (exp.f32 (neg.f32 cosTheta)) (sqrt.f32 cosTheta)) (sqrt.f32 cosTheta))
(pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (cbrt.f32 (pow.f32 cosTheta #s(literal 4 binary32)))) (pow.f32 (cbrt.f32 cosTheta) #s(literal 2 binary32)))
(pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (sqrt.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (pow.f32 cosTheta #s(literal 2 binary32))))
(pow.f32 (exp.f32 #s(literal 1 binary32)) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))
(pow.f32 (exp.f32 (cbrt.f32 (pow.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))) #s(literal 2 binary32)))) (cbrt.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))
(pow.f32 (exp.f32 (sqrt.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))) (sqrt.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))
(log.f32 (exp.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))))
(cbrt.f32 (pow.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))
(log1p.f32 (expm1.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))
(+.f32 #s(literal 0 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))) #s(literal 2 binary32))) (log.f32 (cbrt.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))) (log.f32 (sqrt.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))))
(-.f32 (exp.f32 (log1p.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))) #s(literal 1 binary32))
(pow.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 3 binary32))
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(pow.f32 (sqrt.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32))
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(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta))))
(cbrt.f32 (pow.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) #s(literal 3 binary32)))
(cbrt.f32 (/.f32 (pow.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)) #s(literal 3/2 binary32)) (pow.f32 cosTheta #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta)))
(log1p.f32 (expm1.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta)))
(exp.f32 (log.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta)))
(exp.f32 (*.f32 (log.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta)) #s(literal 1 binary32)))

simplify772.0ms (5.1%)

Algorithm
1×egg-herbie
Rules
1398×*-commutative
678×+-commutative
474×sub-neg
416×associate-*r*
400×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0220170190
1617768470
Stop Event
1×node limit
Counts
766 → 1020
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) cosTheta)
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/2 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) #s(literal 1 binary32)))) cosTheta)
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/6 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))) #s(literal 1 binary32)))) cosTheta)
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/2 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) #s(literal 1 binary32))))
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/6 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 c cosTheta))
(/.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c)) (/.f32 #s(literal 1 binary32) c)) cosTheta)
(/.f32 (+.f32 (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c)) (/.f32 #s(literal 1 binary32) c))) (/.f32 #s(literal 1 binary32) c)) cosTheta)
(/.f32 (+.f32 (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c)) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) c)))) (/.f32 #s(literal 1 binary32) c))) (/.f32 #s(literal 1 binary32) c)) cosTheta)
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta))
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta))
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta))
(*.f32 #s(literal -2 binary32) cosTheta)
(*.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 2 binary32)))
(*.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 2 binary32)))
(*.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 2 binary32)))
(*.f32 #s(literal -2 binary32) cosTheta)
(*.f32 #s(literal -1 binary32) (*.f32 cosTheta (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) cosTheta))))
(*.f32 #s(literal -1 binary32) (*.f32 cosTheta (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) cosTheta))))
(*.f32 #s(literal -1 binary32) (*.f32 cosTheta (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) cosTheta))))
(*.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 (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 (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 (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 (*.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))) (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 #s(literal -2 binary32)))))) #s(literal 2 binary32)))))))
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c
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(*.f32 cosTheta (sqrt.f32 (PI.f32)))
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(*.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)))))))
(*.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)))))
(*.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)))))))
(*.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))))))))
(*.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)))))))))
(*.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)))))))
(+.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))))))))
(*.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))))))))))
(*.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))))))))))
(*.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))))))))))
(/.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))))))
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c
c
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(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 #s(literal 1 binary32) (fma.f32 c (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))) #s(literal 1 binary32)) #s(literal 1 binary32))))))
(cbrt.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 c (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))) #s(literal 1 binary32)) #s(literal 1 binary32))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (/.f32 #s(literal 1 binary32) (fma.f32 c (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))) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(log1p.f32 (expm1.f32 (/.f32 #s(literal 1 binary32) (fma.f32 c (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))) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(exp.f32 (neg.f32 (log1p.f32 (*.f32 c (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))) #s(literal 1 binary32))))))
(exp.f32 (*.f32 (log1p.f32 (*.f32 c (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))) #s(literal 1 binary32)))) #s(literal -1 binary32)))
(exp.f32 (*.f32 (neg.f32 (log1p.f32 (*.f32 c (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))) #s(literal 1 binary32))))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))))
(*.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/2 binary32)))
(*.f32 (cbrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (cbrt.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))))
(*.f32 (sqrt.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))) (sqrt.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))))
(*.f32 (pow.f32 #s(literal 1 binary32) #s(literal 1/2 binary32)) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))))
(*.f32 (pow.f32 (cbrt.f32 (pow.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)) #s(literal 2 binary32))) #s(literal 1/2 binary32)) (pow.f32 (cbrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) #s(literal 1/2 binary32)))
(/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (sqrt.f32 (PI.f32)))
(pow.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) #s(literal 1 binary32))
(pow.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)) #s(literal 1/2 binary32))
(pow.f32 (cbrt.f32 (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 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)) #s(literal 3/2 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))) #s(literal 2 binary32))
(log.f32 (exp.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))))))
(cbrt.f32 (pow.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)) #s(literal 3/2 binary32)))
(expm1.f32 (log1p.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))))
(log1p.f32 (expm1.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))))
(exp.f32 (log.f32 (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)))) #s(literal 1 binary32)))
(exp.f32 (*.f32 (log.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) #s(literal 1/2 binary32)))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta))
(*.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 #s(literal 1 binary32) cosTheta))
(*.f32 (cbrt.f32 (pow.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) #s(literal 2 binary32))) (cbrt.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta)))
(*.f32 (sqrt.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta)) (sqrt.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta)))
(pow.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta)) #s(literal 2 binary32))
(pow.f32 (/.f32 cosTheta (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))) #s(literal -1 binary32))
(log.f32 (exp.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta))))
(cbrt.f32 (pow.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) #s(literal 3 binary32)))
(cbrt.f32 (/.f32 (pow.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)) #s(literal 3/2 binary32)) (pow.f32 cosTheta #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta)))
(log1p.f32 (expm1.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta)))
(exp.f32 (log.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta)))
(exp.f32 (*.f32 (log.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta)) #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 #s(literal -1/2 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 (*.f32 #s(literal -1/2 binary32) cosTheta) (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)
(/.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 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (-.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))))))) (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))))
(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 1/2 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 3 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)))))
(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 #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 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 5 binary32))) (PI.f32))) (*.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))))) (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))))))
(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 #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 (/.f32 #s(literal 1 binary32) (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)))) (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 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 5 binary32))) (PI.f32))) (*.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))) (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))))) (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)))))
(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 (neg.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))))
(+.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 #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 (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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(/.f32 #s(literal 1 binary32) cosTheta)
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)
(/.f32 (+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) cosTheta)
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(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (fma.f32 #s(literal 1/2 binary32) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal -1 binary32)))) cosTheta)
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/6 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))) #s(literal 1 binary32)))) cosTheta)
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (fma.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal -1/6 binary32))) #s(literal -1 binary32)))) cosTheta)
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))
(+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))
(-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/2 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) #s(literal 1 binary32))))
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (fma.f32 #s(literal 1/2 binary32) (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal -1 binary32))))
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/6 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))) #s(literal 1 binary32))))
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(/.f32 #s(literal 1 binary32) (*.f32 c cosTheta))
(/.f32 #s(literal 1 binary32) (*.f32 cosTheta c))
(/.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c)) (/.f32 #s(literal 1 binary32) c)) cosTheta)
(/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c) (/.f32 #s(literal 1 binary32) c)) cosTheta)
(/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c)) cosTheta)
(/.f32 (+.f32 (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c)) (/.f32 #s(literal 1 binary32) c))) (/.f32 #s(literal 1 binary32) c)) cosTheta)
(/.f32 (fma.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c)) (/.f32 #s(literal 1 binary32) c)) (/.f32 #s(literal 1 binary32) c)) cosTheta)
(/.f32 (+.f32 (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c)) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) c)))) (/.f32 #s(literal 1 binary32) c))) (/.f32 #s(literal 1 binary32) c)) cosTheta)
(/.f32 (fma.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (fma.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c) (/.f32 #s(literal 1/2 binary32) c)) (neg.f32 (/.f32 #s(literal 1 binary32) c))) (/.f32 #s(literal 1 binary32) c)) cosTheta)
#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))
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta))
(fma.f32 cosTheta #s(literal -2 binary32) #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))
(*.f32 #s(literal -2 binary32) cosTheta)
(*.f32 cosTheta #s(literal -2 binary32))
(*.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 2 binary32)))
(*.f32 cosTheta (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -2 binary32)))
(*.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 2 binary32)))
(*.f32 cosTheta (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -2 binary32)))
(*.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 2 binary32)))
(*.f32 cosTheta (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -2 binary32)))
(*.f32 #s(literal -2 binary32) cosTheta)
(*.f32 cosTheta #s(literal -2 binary32))
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(*.f32 cosTheta (sqrt.f32 (PI.f32)))
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c
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c
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c
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(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c))
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(sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))
(*.f32 (pow.f32 #s(literal 1 binary32) #s(literal 1/2 binary32)) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))))
(sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))
(*.f32 (pow.f32 (cbrt.f32 (pow.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)) #s(literal 2 binary32))) #s(literal 1/2 binary32)) (pow.f32 (cbrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) #s(literal 1/2 binary32)))
(*.f32 (sqrt.f32 (cbrt.f32 (pow.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)) #s(literal 2 binary32)))) (sqrt.f32 (cbrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))))
(/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (sqrt.f32 (PI.f32)))
(pow.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) #s(literal 1 binary32))
(sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))
(pow.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)) #s(literal 1/2 binary32))
(sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))
(pow.f32 (cbrt.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))) #s(literal 3 binary32))
(sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))
(pow.f32 (pow.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)) #s(literal 3/2 binary32)) #s(literal 1/3 binary32))
(cbrt.f32 (pow.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)) #s(literal 3/2 binary32)))
(pow.f32 (sqrt.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))) #s(literal 2 binary32))
(sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))
(log.f32 (exp.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))))
(sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))))))
(sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))
(cbrt.f32 (pow.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)) #s(literal 3/2 binary32)))
(expm1.f32 (log1p.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))))
(log1p.f32 (expm1.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))))
(sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))
(exp.f32 (log.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))))
(sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))) #s(literal 1 binary32)))
(sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))
(exp.f32 (*.f32 (log.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) #s(literal 1/2 binary32)))
(sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta))) #s(literal 1 binary32))
(expm1.f32 (log1p.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta)))
(*.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta))
(/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta)
(*.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 #s(literal 1 binary32) cosTheta))
(/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta)
(*.f32 (cbrt.f32 (pow.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) #s(literal 2 binary32))) (cbrt.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta)))
(*.f32 (sqrt.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta)) (sqrt.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta)))
(/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta)
(pow.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) #s(literal 1 binary32))
(/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta)
(pow.f32 (cbrt.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta)) #s(literal 3 binary32))
(/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta)
(pow.f32 (pow.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta)
(pow.f32 (sqrt.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta)) #s(literal 2 binary32))
(/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta)
(pow.f32 (/.f32 cosTheta (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 cosTheta (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))))
(log.f32 (exp.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta)))
(/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta)
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta))))
(/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta)
(cbrt.f32 (pow.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) #s(literal 3 binary32)))
(/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta)
(cbrt.f32 (/.f32 (pow.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)) #s(literal 3/2 binary32)) (pow.f32 cosTheta #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta)))
(log1p.f32 (expm1.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta)))
(/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta)
(exp.f32 (log.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta)))
(/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta)
(exp.f32 (*.f32 (log.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta)) #s(literal 1 binary32)))
(/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta)

eval279.0ms (1.8%)

Compiler

Compiled 53300 to 6680 computations (87.5% saved)

prune507.0ms (3.4%)

Pruning

37 alts after pruning (36 fresh and 1 done)

PrunedKeptTotal
New1091261117
Fresh111021
Picked415
Done000
Total1106371143
Accuracy
100.0%
Counts
1143 → 37
Alt Table
Click to see full alt table
StatusAccuracyProgram
94.7%
(pow.f32 (pow.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c)) #s(literal -1/2 binary32)) #s(literal 2 binary32))
96.4%
(pow.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 (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)))) #s(literal 3 binary32))
91.1%
(pow.f32 (*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/4 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) cosTheta))) #s(literal -2 binary32))
97.1%
(pow.f32 (sqrt.f32 (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))) #s(literal -2 binary32))
94.7%
(pow.f32 (sqrt.f32 (/.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)) #s(literal -2 binary32))
97.8%
(pow.f32 (sqrt.f32 (/.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)))) #s(literal 2 binary32))
63.3%
(/.f32 (cbrt.f32 (pow.f32 (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)) #s(literal -2 binary32))) (cbrt.f32 (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))))
60.2%
(/.f32 #s(literal 1 binary32) (fma.f32 c (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))) #s(literal 1 binary32)) #s(literal 1 binary32)))
91.4%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (/.f32 (sqrt.f32 (+.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (sqrt.f32 (PI.f32))) (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 (cbrt.f32 (PI.f32)) #s(literal -3/2 binary32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
52.6%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 2 binary32))))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
95.7%
(/.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)))
94.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (+.f32 c (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))) cosTheta)))
91.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))
▶97.2%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (sqrt.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)) #s(literal 2 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))))
97.5%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))))
96.5%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.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))))))
97.4%
(/.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))))))))
97.5%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))))
94.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))))
91.5%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))
57.3%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (/.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)))))
54.1%
(/.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))) (*.f32 cosTheta c))))))
▶59.0%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c)) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))))))
59.0%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (*.f32 (/.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))))))))
60.2%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta))) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))))))
57.1%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta c)) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))))))
53.8%
(/.f32 #s(literal 1 binary32) (+.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))))))))
▶11.0%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c))
✓5.3%
(/.f32 #s(literal 1 binary32) c)
94.1%
(*.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (cbrt.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.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 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c)))))
58.6%
(*.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 (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)))) (/.f32 #s(literal 1 binary32) (cbrt.f32 (pow.f32 (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)) #s(literal 2 binary32)))))
95.5%
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))
▶95.3%
(*.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)))))))
92.5%
(*.f32 cosTheta (sqrt.f32 (PI.f32)))
60.6%
(sqrt.f32 (pow.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c)) #s(literal -2 binary32)))
97.5%
(log1p.f32 (expm1.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))) #s(literal 1 binary32)))))
Compiler

Compiled 1675 to 1106 computations (34% saved)

simplify94.0ms (0.6%)

Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff3328
(*.f32 (pow.f32 (sqrt.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)) #s(literal 2 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))
✓cost-diff3328
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (sqrt.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)) #s(literal 2 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))))
✓cost-diff3328
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (sqrt.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)) #s(literal 2 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))))
✓cost-diff6432
(pow.f32 (sqrt.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)) #s(literal 2 binary32))
cost-diff0
(/.f32 #s(literal 1 binary32) c)
✓cost-diff0
(-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c))
✓cost-diff96
(*.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c)) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))
✓cost-diff3232
(/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c)) cosTheta)
✓cost-diff0
(*.f32 cosTheta (PI.f32))
✓cost-diff0
(*.f32 (*.f32 cosTheta (PI.f32)) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))
cost-diff0
(PI.f32)
cost-diff0
(sqrt.f32 (PI.f32))
cost-diff0
(+.f32 #s(literal 1 binary32) c)
✓cost-diff0
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c))
cost-diff0
(PI.f32)
✓cost-diff0
(cbrt.f32 (PI.f32))
✓cost-diff0
(pow.f32 (cbrt.f32 (PI.f32)) #s(literal -3/2 binary32))
cost-diff0
(+.f32 #s(literal 1 binary32) c)
Rules
1628×fma-neg
1404×times-frac
674×distribute-lft-in
610×associate-*r/
588×distribute-rgt-in
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
0621837
11351636
23151624
38801576
424011524
557911512
Stop Event
1×node limit
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal -3/2 binary32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
#s(literal 1 binary32)
(+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal -3/2 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) c)
c
(*.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal -3/2 binary32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal -3/2 binary32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta))
(pow.f32 (cbrt.f32 (PI.f32)) #s(literal -3/2 binary32))
(cbrt.f32 (PI.f32))
(PI.f32)
#s(literal -3/2 binary32)
(/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)
(sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))
(-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)
(-.f32 #s(literal 1 binary32) cosTheta)
cosTheta
(exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))
(*.f32 (neg.f32 cosTheta) cosTheta)
(neg.f32 cosTheta)
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) c)
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)))))))
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))))))
(sqrt.f32 (PI.f32))
(PI.f32)
(*.f32 (*.f32 cosTheta (PI.f32)) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))
(*.f32 cosTheta (PI.f32))
(-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))
#s(literal 1 binary32)
(sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.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 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c)) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c)) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))))))
(*.f32 c (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c)) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))))
c
(+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c)) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))))
(*.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c)) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))
(/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c)) cosTheta)
(-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c))
(/.f32 #s(literal 1 binary32) c)
(/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c)
(pow.f32 cosTheta #s(literal 2 binary32))
cosTheta
#s(literal 2 binary32)
(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 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta))
(*.f32 #s(literal -2 binary32) cosTheta)
#s(literal -2 binary32)
(PI.f32)
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (sqrt.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)) #s(literal 2 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (sqrt.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)) #s(literal 2 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))))
(*.f32 (pow.f32 (sqrt.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)) #s(literal 2 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))
(pow.f32 (sqrt.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)) #s(literal 2 binary32))
(sqrt.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta))
(/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)
(exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))
(neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))
(pow.f32 cosTheta #s(literal 2 binary32))
cosTheta
#s(literal 2 binary32)
(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 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))
(*.f32 #s(literal 2 binary32) cosTheta)
(PI.f32)
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal -3/2 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 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal -3/2 binary32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))))
(/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal -3/2 binary32)) (*.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))) (+.f32 #s(literal 1 binary32) c)))
(/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal -3/2 binary32)) (/.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal -3/2 binary32)) (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))) c)))
#s(literal 1 binary32)
(+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal -3/2 binary32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))
(+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal -3/2 binary32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))
(fma.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal -3/2 binary32)) (*.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))) (+.f32 #s(literal 1 binary32) c))
(fma.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal -3/2 binary32)) (/.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))
(+.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal -3/2 binary32)) (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))) c))
(+.f32 #s(literal 1 binary32) c)
c
(*.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal -3/2 binary32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))
(*.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal -3/2 binary32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))
(*.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta) (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal -3/2 binary32)) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))
(/.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal -3/2 binary32)) (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta)) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))
(*.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal -3/2 binary32)) cosTheta))
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal -3/2 binary32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta))
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal -3/2 binary32)) (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta))
(*.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (/.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal -3/2 binary32)) cosTheta))
(pow.f32 (cbrt.f32 (PI.f32)) #s(literal -3/2 binary32))
(cbrt.f32 (PI.f32))
(PI.f32)
#s(literal -3/2 binary32)
(/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)
(/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta)
(sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))
(sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)))
(-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)
(fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))
(-.f32 #s(literal 1 binary32) cosTheta)
cosTheta
(exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))
(exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))
(*.f32 (neg.f32 cosTheta) cosTheta)
(neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))
(neg.f32 cosTheta)
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) c)
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 cosTheta (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (PI.f32) (*.f32 cosTheta (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))
(*.f32 cosTheta (fma.f32 (PI.f32) (*.f32 cosTheta (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -1 binary32))) (sqrt.f32 (PI.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 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))
(-.f32 (sqrt.f32 (PI.f32)) (*.f32 (PI.f32) (*.f32 cosTheta (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))
(fma.f32 (PI.f32) (*.f32 cosTheta (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -1 binary32))) (sqrt.f32 (PI.f32)))
(sqrt.f32 (PI.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 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))
(*.f32 (PI.f32) (*.f32 cosTheta (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))
(*.f32 (*.f32 (PI.f32) cosTheta) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))
(*.f32 cosTheta (PI.f32))
(*.f32 (PI.f32) cosTheta)
(-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))
#s(literal 1 binary32)
(sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.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 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) 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) (*.f32 c (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c)) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))))))))
(/.f32 #s(literal 1 binary32) (fma.f32 c (fma.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c)) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) #s(literal 1 binary32)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 c (fma.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c)) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) #s(literal 1 binary32)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 c (fma.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) c) cosTheta) (/.f32 cosTheta c)) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) #s(literal 1 binary32)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (+.f32 (neg.f32 cosTheta) (/.f32 #s(literal 1 binary32) cosTheta)) (+.f32 #s(literal 1 binary32) c)))
(/.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) cosTheta) (+.f32 #s(literal 1 binary32) c)))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) 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 (/.f32 #s(literal 1 binary32) c) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c)) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)))))))
(fma.f32 c (fma.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c)) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 c (fma.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c)) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 c (fma.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) c) cosTheta) (/.f32 cosTheta c)) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (+.f32 (neg.f32 cosTheta) (/.f32 #s(literal 1 binary32) cosTheta)) (+.f32 #s(literal 1 binary32) c))
(fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) cosTheta) (+.f32 #s(literal 1 binary32) c))
(*.f32 c (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c)) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))))
(*.f32 c (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c)) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))))))
(*.f32 c (fma.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c)) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) #s(literal 1 binary32)))
(*.f32 c (fma.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c)) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) #s(literal 1 binary32)))
(*.f32 c (fma.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) c) cosTheta) (/.f32 cosTheta c)) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) #s(literal 1 binary32)))
(fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (+.f32 (neg.f32 cosTheta) (/.f32 #s(literal 1 binary32) cosTheta)) c)
(fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) cosTheta) c)
c
(+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c)) 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) c) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c)) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)))))
(fma.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c)) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) #s(literal 1 binary32))
(fma.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c)) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) #s(literal 1 binary32))
(fma.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) c) cosTheta) (/.f32 cosTheta c)) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) #s(literal 1 binary32))
(*.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c)) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))
(*.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c)) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c)) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta))
(*.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) c) cosTheta) (/.f32 cosTheta c)) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))))
(/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c)) cosTheta)
(-.f32 (/.f32 (/.f32 #s(literal 1 binary32) c) cosTheta) (/.f32 cosTheta c))
(-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c))
(/.f32 #s(literal 1 binary32) c)
(/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c)
(pow.f32 cosTheta #s(literal 2 binary32))
cosTheta
#s(literal 2 binary32)
(sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))
(sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)))
(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 -2 binary32) cosTheta)) (PI.f32))
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))
(/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta))
(-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)
(fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))
(*.f32 #s(literal -2 binary32) cosTheta)
(*.f32 cosTheta #s(literal -2 binary32))
#s(literal -2 binary32)
(PI.f32)
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (sqrt.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)) #s(literal 2 binary32)) (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 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (pow.f32 (sqrt.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) (fma.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) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (sqrt.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)) #s(literal 2 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))))
(+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (pow.f32 (sqrt.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)) #s(literal 2 binary32))))
(fma.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) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))
(*.f32 (pow.f32 (sqrt.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)) #s(literal 2 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))
(*.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (pow.f32 (sqrt.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)) #s(literal 2 binary32)))
(*.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))
(/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))
(pow.f32 (sqrt.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)) #s(literal 2 binary32))
(/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)
(sqrt.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta))
(/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)
(pow.f32 (sqrt.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)) #s(literal 2 binary32))
(exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))
(neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))
(pow.f32 cosTheta #s(literal 2 binary32))
cosTheta
#s(literal 2 binary32)
(sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))
(sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)))
(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 2 binary32) cosTheta)) (PI.f32))
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))
(/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))
(-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))
(-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)
(fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))
(*.f32 #s(literal 2 binary32) cosTheta)
(*.f32 cosTheta #s(literal 2 binary32))
(PI.f32)

localize469.0ms (3.1%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy99.2%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (sqrt.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)) #s(literal 2 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))))
✓accuracy98.4%
(pow.f32 (sqrt.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)) #s(literal 2 binary32))
✓accuracy98.3%
(*.f32 (pow.f32 (sqrt.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)) #s(literal 2 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))
accuracy97.7%
(sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))
✓accuracy98.8%
(*.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c)) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))
✓accuracy97.7%
(sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))
✓accuracy82.2%
(/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c)
✓accuracy61.0%
(*.f32 c (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c)) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))))
✓accuracy99.0%
(*.f32 cosTheta (PI.f32))
✓accuracy98.9%
(*.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)))))))
✓accuracy96.9%
(-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))
✓accuracy96.9%
(sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))
accuracy100.0%
(+.f32 #s(literal 1 binary32) c)
✓accuracy99.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c))
✓accuracy99.8%
(sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))
accuracy99.6%
(-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)
✓accuracy99.2%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal -3/2 binary32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
✓accuracy98.1%
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal -3/2 binary32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta))
Results
328.0ms256×0valid
Compiler

Compiled 506 to 57 computations (88.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 272.0ms
ival-div: 185.0ms (68.1% of total)
ival-mult: 19.0ms (7% of total)
ival-pow: 18.0ms (6.6% of total)
ival-sub: 17.0ms (6.3% of total)
ival-sqrt: 11.0ms (4% of total)
ival-add: 10.0ms (3.7% of total)
ival-exp: 4.0ms (1.5% of total)
ival-neg: 3.0ms (1.1% of total)
ival-cbrt: 2.0ms (0.7% of total)
ival-pi: 1.0ms (0.4% of total)
const: 1.0ms (0.4% of total)
backward-pass: 0.0ms (0% of total)

series91.0ms (0.6%)

Counts
21 → 240
Calls
Call 1
Inputs
#<alt (pow.f32 (cbrt.f32 (PI.f32)) #s(literal -3/2 binary32))>
#<alt (cbrt.f32 (PI.f32))>
#<alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c))>
#<alt (*.f32 (*.f32 cosTheta (PI.f32)) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))>
#<alt (*.f32 cosTheta (PI.f32))>
#<alt (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c)) cosTheta)>
#<alt (*.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c)) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))>
#<alt (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c))>
#<alt (pow.f32 (sqrt.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)) #s(literal 2 binary32))>
#<alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (sqrt.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)) #s(literal 2 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))))>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (sqrt.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)) #s(literal 2 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))))>
#<alt (*.f32 (pow.f32 (sqrt.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)) #s(literal 2 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))>
#<alt (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal -3/2 binary32)) (/.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 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal -3/2 binary32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))>
#<alt (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))>
#<alt (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))>
#<alt (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))>
#<alt (*.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)))))))>
#<alt (*.f32 c (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c)) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))))>
#<alt (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c)>
#<alt (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))>
Outputs
#<alt #s(literal 1 binary32)>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) c))>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 c (-.f32 c #s(literal 1 binary32))))>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 c (-.f32 (*.f32 c (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) c))) #s(literal 1 binary32))))>
#<alt (/.f32 #s(literal 1 binary32) c)>
#<alt (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) c)) c)>
#<alt (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 c #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) c)) c)>
#<alt (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 c #s(literal 2 binary32)))) (+.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (pow.f32 c #s(literal 3 binary32))))) c)>
#<alt (/.f32 #s(literal 1 binary32) c)>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) #s(literal 1 binary32)) c))>
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#<alt (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 c (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) c)))>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c))>
#<alt (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 c (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) c)))>
#<alt (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 c (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) c)))>
#<alt (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 c (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) c)))>
#<alt (/.f32 #s(literal 1 binary32) cosTheta)>
#<alt (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)>
#<alt (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/2 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) #s(literal 1 binary32)))) cosTheta)>
#<alt (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/6 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))) #s(literal 1 binary32)))) cosTheta)>
#<alt (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)>
#<alt (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)>
#<alt (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)>
#<alt (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32))) cosTheta))>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32))) cosTheta))>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32))) cosTheta))>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32))) cosTheta))>
#<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 (neg.f32 (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 (neg.f32 (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 (neg.f32 (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 (neg.f32 (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 (neg.f32 (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 (neg.f32 (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 (neg.f32 (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 (neg.f32 (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 (neg.f32 (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 (neg.f32 (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 (neg.f32 (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 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 (*.f32 #s(literal -1/4 binary32) (/.f32 (*.f32 cosTheta (pow.f32 (exp.f32 (neg.f32 (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 (neg.f32 (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 (neg.f32 (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 (neg.f32 (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 (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 1/16 binary32) (*.f32 (sqrt.f32 (/.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32))) (/.f32 (exp.f32 (neg.f32 (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 (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))))) #s(literal 2 binary32)))))) (*.f32 #s(literal 1/16 binary32) (/.f32 (*.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 (PI.f32) (*.f32 (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 4 binary32)) (pow.f32 (+.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)))) (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 (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 -1/4 binary32) (/.f32 (pow.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 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 (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))))) #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 (neg.f32 (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 (neg.f32 (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 (neg.f32 (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 (neg.f32 (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 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (neg.f32 (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 (neg.f32 (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 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (neg.f32 (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 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (neg.f32 (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 (neg.f32 (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 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (neg.f32 (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 (neg.f32 (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 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (neg.f32 (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 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (neg.f32 (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 (neg.f32 (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 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (neg.f32 (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 (neg.f32 (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 (neg.f32 (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 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (neg.f32 (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 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binary32)) (pow.f32 (+.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 (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 (neg.f32 (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 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (neg.f32 (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 (neg.f32 (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 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (neg.f32 (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 cosTheta (+.f32 #s(literal 1 binary32) (*.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 (*.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 (*.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 (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)))))>
#<alt (+.f32 #s(literal 1 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 (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))))))>
#<alt (+.f32 #s(literal 1 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 (neg.f32 (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 (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)))))))>
#<alt (+.f32 #s(literal 1 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 (neg.f32 (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 (neg.f32 (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 (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))))))))>
#<alt (+.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 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32)) (sqrt.f32 #s(literal 2 binary32))))))>
#<alt (+.f32 #s(literal 1 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 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3 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 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32)) (sqrt.f32 #s(literal 2 binary32)))))))>
#<alt (+.f32 #s(literal 1 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 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3 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 (*.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3 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 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32)) (sqrt.f32 #s(literal 2 binary32))))))))>
#<alt (+.f32 #s(literal 1 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 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3 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 (*.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3 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 (*.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3 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 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3 binary32)) (sqrt.f32 #s(literal 2 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) (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 (neg.f32 (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 (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)))))>
#<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 (neg.f32 (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 (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))))))>
#<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 (neg.f32 (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 (neg.f32 (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 (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)))))))>
#<alt (*.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 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3 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 (*.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3 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 (*.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3 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 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3 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 1/2 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))))))>
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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 cosTheta (sqrt.f32 (PI.f32)))>
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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))))))))))>
#<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)))))))>
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#<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 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) (sqrt.f32 (/.f32 #s(literal 1 binary32) (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) (sqrt.f32 (/.f32 #s(literal 1 binary32) (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) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (-.f32 #s(literal 1 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 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32)))))>
#<alt (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32)))))>
#<alt (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (-.f32 #s(literal 1 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 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32)))))>
#<alt (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32)))))>
#<alt (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32)))))>
#<alt (*.f32 (/.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 c (*.f32 (/.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 c (*.f32 (/.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 c (*.f32 (/.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 #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 c (+.f32 #s(literal 1 binary32) (*.f32 (/.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 c (+.f32 #s(literal 1 binary32) (*.f32 (/.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 c>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 c (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (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))))) #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 #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))))) #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 #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))))) #s(literal 1 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 c (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (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 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 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (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 c (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))) (*.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 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32))) (sqrt.f32 #s(literal -2 binary32))))>
#<alt (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32)))) (/.f32 (*.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 c (sqrt.f32 #s(literal -2 binary32)))) (sqrt.f32 (/.f32 cosTheta (PI.f32))))) (*.f32 (/.f32 (sqrt.f32 #s(literal -2 binary32)) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))))))) (pow.f32 cosTheta #s(literal 2 binary32)))))>
#<alt (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32)))) (+.f32 (/.f32 (*.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 c (sqrt.f32 #s(literal -2 binary32)))) (sqrt.f32 (/.f32 cosTheta (PI.f32))))) (*.f32 (/.f32 (sqrt.f32 #s(literal -2 binary32)) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))))))) (pow.f32 cosTheta #s(literal 2 binary32))) (/.f32 (*.f32 c (+.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 c (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32)))) (sqrt.f32 (/.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32))))) (*.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 c (sqrt.f32 #s(literal -2 binary32)))) (sqrt.f32 (/.f32 cosTheta (PI.f32))))))) (pow.f32 cosTheta #s(literal 4 binary32))))))>
#<alt (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32)))) (+.f32 (/.f32 (*.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 c (sqrt.f32 #s(literal -2 binary32)))) (sqrt.f32 (/.f32 cosTheta (PI.f32))))) (*.f32 (/.f32 (sqrt.f32 #s(literal -2 binary32)) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))))))) (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 (/.f32 (*.f32 c (+.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 c (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32)))) (sqrt.f32 (/.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32))))) (*.f32 #s(literal -1/16 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 c (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32)))) (sqrt.f32 (/.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32))))))) (pow.f32 cosTheta #s(literal 6 binary32))) (/.f32 (*.f32 c (+.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 c (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32)))) (sqrt.f32 (/.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32))))) (*.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 c (sqrt.f32 #s(literal -2 binary32)))) (sqrt.f32 (/.f32 cosTheta (PI.f32))))))) (pow.f32 cosTheta #s(literal 4 binary32)))))))>
#<alt (*.f32 (sqrt.f32 (/.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 (pow.f32 cosTheta #s(literal 2 binary32)) (+.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 (*.f32 c (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 c (sqrt.f32 #s(literal 2 binary32)))) (sqrt.f32 (/.f32 cosTheta (PI.f32))))) (*.f32 (/.f32 (*.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))))))))) (pow.f32 cosTheta #s(literal 2 binary32)))))>
#<alt (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 c (+.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 c (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32)))) (sqrt.f32 (/.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32))))) (*.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 c (sqrt.f32 #s(literal 2 binary32)))) (sqrt.f32 (/.f32 cosTheta (PI.f32))))))) (pow.f32 cosTheta #s(literal 4 binary32)))) (+.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 (*.f32 c (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 c (sqrt.f32 #s(literal 2 binary32)))) (sqrt.f32 (/.f32 cosTheta (PI.f32))))) (*.f32 (/.f32 (*.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))))))))) (pow.f32 cosTheta #s(literal 2 binary32))))))>
#<alt (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 c (+.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 c (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32)))) (sqrt.f32 (/.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32))))) (*.f32 #s(literal -1/16 binary32) (*.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 c (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 5 binary32)))) (sqrt.f32 (/.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32))))))) (pow.f32 cosTheta #s(literal 6 binary32)))) (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 c (+.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 c (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32)))) (sqrt.f32 (/.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32))))) (*.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 c (sqrt.f32 #s(literal 2 binary32)))) (sqrt.f32 (/.f32 cosTheta (PI.f32))))))) (pow.f32 cosTheta #s(literal 4 binary32)))) (+.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 (*.f32 c (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 c (sqrt.f32 #s(literal 2 binary32)))) (sqrt.f32 (/.f32 cosTheta (PI.f32))))) (*.f32 (/.f32 (*.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))))))))) (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 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)))>
#<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)))))))))>
Calls

69 calls:

TimeVariablePointExpression
17.0ms
cosTheta
@inf
(/ 1 (+ 1 (* (pow (sqrt (/ (exp (neg (pow cosTheta 2))) cosTheta)) 2) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))
5.0ms
cosTheta
@-inf
(/ 1 (+ 1 (* (pow (sqrt (/ (exp (neg (pow cosTheta 2))) cosTheta)) 2) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))
4.0ms
cosTheta
@-inf
(pow (sqrt (/ (exp (neg (pow cosTheta 2))) cosTheta)) 2)
3.0ms
c
@0
(/ (- (/ 1 c) (/ (pow cosTheta 2) c)) cosTheta)
2.0ms
cosTheta
@-inf
(* (/ (- (/ 1 c) (/ (pow cosTheta 2) c)) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))

rewrite250.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
503×log1p-expm1-u
503×expm1-log1p-u
485×add-exp-log
482×add-log-exp
476×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
060820
11217731
Stop Event
1×node limit
Counts
21 → 392
Calls
Call 1
Inputs
(pow.f32 (cbrt.f32 (PI.f32)) #s(literal -3/2 binary32))
(cbrt.f32 (PI.f32))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c))
(*.f32 (*.f32 cosTheta (PI.f32)) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))
(*.f32 cosTheta (PI.f32))
(/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c)) cosTheta)
(*.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c)) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))
(-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c))
(pow.f32 (sqrt.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)) #s(literal 2 binary32))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (sqrt.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)) #s(literal 2 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))))
(+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (sqrt.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)) #s(literal 2 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))))
(*.f32 (pow.f32 (sqrt.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)) #s(literal 2 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal -3/2 binary32)) (/.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 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal -3/2 binary32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) 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 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 c (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c)) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))))
(/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c)
(sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))
Outputs
(-.f32 (+.f32 #s(literal 1 binary32) (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 (/.f32 #s(literal 1 binary32) (cbrt.f32 (PI.f32))) (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 (PI.f32) #s(literal -1/4 binary32)) (pow.f32 (PI.f32) #s(literal -1/4 binary32)))
(*.f32 (pow.f32 #s(literal 1 binary32) #s(literal 1/2 binary32)) (pow.f32 (PI.f32) #s(literal -1/2 binary32)))
(*.f32 (pow.f32 #s(literal 1 binary32) #s(literal -3/2 binary32)) (pow.f32 (PI.f32) #s(literal -1/2 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal -3/2 binary32)) (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) #s(literal -3/2 binary32)))
(*.f32 (pow.f32 (sqrt.f32 (cbrt.f32 (PI.f32))) #s(literal -3/2 binary32)) (pow.f32 (sqrt.f32 (cbrt.f32 (PI.f32))) #s(literal -3/2 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (pow.f32 (PI.f32) #s(literal -2 binary32))) #s(literal 1/2 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 (PI.f32))) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))
(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 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 3/2 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 (neg.f32 (log.f32 (PI.f32))) #s(literal 1/2 binary32)))
(exp.f32 (*.f32 (log.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (cbrt.f32 (PI.f32)))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (cbrt.f32 (PI.f32)))
(*.f32 (cbrt.f32 (sqrt.f32 (PI.f32))) (cbrt.f32 (sqrt.f32 (PI.f32))))
(*.f32 (cbrt.f32 (cbrt.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)))) (cbrt.f32 (cbrt.f32 (PI.f32))))
(*.f32 (sqrt.f32 (cbrt.f32 (PI.f32))) (sqrt.f32 (cbrt.f32 (PI.f32))))
(*.f32 (pow.f32 #s(literal 1 binary32) #s(literal 1/3 binary32)) (cbrt.f32 (PI.f32)))
(*.f32 (pow.f32 (cbrt.f32 (pow.f32 (PI.f32) #s(literal 2 binary32))) #s(literal 1/3 binary32)) (cbrt.f32 (cbrt.f32 (PI.f32))))
(pow.f32 (PI.f32) #s(literal 1/3 binary32))
(pow.f32 (cbrt.f32 (PI.f32)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (sqrt.f32 (PI.f32))) #s(literal 2 binary32))
(pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) #s(literal 3 binary32))
(pow.f32 (sqrt.f32 (cbrt.f32 (PI.f32))) #s(literal 2 binary32))
(log.f32 (exp.f32 (cbrt.f32 (PI.f32))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (cbrt.f32 (PI.f32)))))
(expm1.f32 (log1p.f32 (cbrt.f32 (PI.f32))))
(log1p.f32 (expm1.f32 (cbrt.f32 (PI.f32))))
(exp.f32 (log.f32 (cbrt.f32 (PI.f32))))
(exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 1/3 binary32)))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (PI.f32))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c)))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c)))
(*.f32 (cbrt.f32 (pow.f32 (+.f32 #s(literal 1 binary32) c) #s(literal -2 binary32))) (/.f32 #s(literal 1 binary32) (cbrt.f32 (+.f32 #s(literal 1 binary32) c))))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c))))
(*.f32 (pow.f32 (cbrt.f32 (pow.f32 (+.f32 #s(literal 1 binary32) c) #s(literal 2 binary32))) #s(literal -1 binary32)) (pow.f32 (cbrt.f32 (+.f32 #s(literal 1 binary32) c)) #s(literal -1 binary32)))
(*.f32 (pow.f32 (hypot.f32 #s(literal 1 binary32) (sqrt.f32 c)) #s(literal -1 binary32)) (pow.f32 (hypot.f32 #s(literal 1 binary32) (sqrt.f32 c)) #s(literal -1 binary32)))
(pow.f32 (+.f32 #s(literal 1 binary32) c) #s(literal -1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 (+.f32 #s(literal 1 binary32) c))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 #s(literal 1 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) (+.f32 #s(literal 1 binary32) c))) #s(literal 2 binary32))
(pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) c) #s(literal 1 binary32)) #s(literal -1 binary32))
(log.f32 (exp.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c)))))
(cbrt.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c))))
(log1p.f32 (expm1.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c))))
(exp.f32 (neg.f32 (log1p.f32 c)))
(exp.f32 (*.f32 (log1p.f32 c) #s(literal -1 binary32)))
(exp.f32 (*.f32 (neg.f32 (log1p.f32 c)) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (*.f32 (PI.f32) cosTheta) (-.f32 #s(literal 1 binary32) (pow.f32 (PI.f32) #s(literal -1/2 binary32)))))) #s(literal 1 binary32))
(pow.f32 (*.f32 (*.f32 (PI.f32) cosTheta) (-.f32 #s(literal 1 binary32) (pow.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 (*.f32 (PI.f32) cosTheta) (-.f32 #s(literal 1 binary32) (pow.f32 (PI.f32) #s(literal -1/2 binary32))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) cosTheta) (-.f32 #s(literal 1 binary32) (pow.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 (*.f32 (PI.f32) cosTheta) (-.f32 #s(literal 1 binary32) (pow.f32 (PI.f32) #s(literal -1/2 binary32))))) #s(literal 2 binary32))
(log.f32 (pow.f32 (exp.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (PI.f32) #s(literal -1/2 binary32)))) (*.f32 (PI.f32) cosTheta)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (*.f32 (PI.f32) cosTheta) (-.f32 #s(literal 1 binary32) (pow.f32 (PI.f32) #s(literal -1/2 binary32)))))))
(cbrt.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) cosTheta) (-.f32 #s(literal 1 binary32) (pow.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (*.f32 (*.f32 (PI.f32) cosTheta) (-.f32 #s(literal 1 binary32) (pow.f32 (PI.f32) #s(literal -1/2 binary32))))))
(log1p.f32 (expm1.f32 (*.f32 (*.f32 (PI.f32) cosTheta) (-.f32 #s(literal 1 binary32) (pow.f32 (PI.f32) #s(literal -1/2 binary32))))))
(exp.f32 (log.f32 (*.f32 (*.f32 (PI.f32) cosTheta) (-.f32 #s(literal 1 binary32) (pow.f32 (PI.f32) #s(literal -1/2 binary32))))))
(exp.f32 (*.f32 (log.f32 (*.f32 (*.f32 (PI.f32) cosTheta) (-.f32 #s(literal 1 binary32) (pow.f32 (PI.f32) #s(literal -1/2 binary32))))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) cosTheta))) #s(literal 1 binary32))
(pow.f32 (*.f32 (PI.f32) cosTheta) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 (PI.f32) cosTheta)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 (PI.f32) cosTheta) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 (PI.f32) cosTheta)) #s(literal 2 binary32))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) cosTheta))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (PI.f32) cosTheta))))
(cbrt.f32 (pow.f32 (*.f32 (PI.f32) cosTheta) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.f32 cosTheta #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 (PI.f32) cosTheta)))
(log1p.f32 (expm1.f32 (*.f32 (PI.f32) cosTheta)))
(exp.f32 (log.f32 (*.f32 (PI.f32) cosTheta)))
(exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) cosTheta)) #s(literal 1 binary32)))
(-.f32 (/.f32 (/.f32 #s(literal 1 binary32) c) cosTheta) (/.f32 (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c) cosTheta))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) c) cosTheta))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) c) cosTheta))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) c) (/.f32 #s(literal 1 binary32) cosTheta))
(*.f32 (cbrt.f32 (pow.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) c) cosTheta) #s(literal 2 binary32))) (cbrt.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) c) cosTheta)))
(*.f32 (sqrt.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) c) cosTheta)) (sqrt.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) c) cosTheta)))
(pow.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) c) cosTheta) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) c) cosTheta)) #s(literal 3 binary32))
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(log1p.f32 (expm1.f32 (*.f32 c (fma.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) c) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) #s(literal 1 binary32)))))
(exp.f32 (log.f32 (*.f32 c (fma.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) c) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) #s(literal 1 binary32)))))
(exp.f32 (*.f32 (log.f32 (*.f32 c (fma.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) c) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) #s(literal 1 binary32)))) #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) c (*.f32 (/.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) c) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))) cosTheta) c))
(fma.f32 c #s(literal 1 binary32) (*.f32 c (/.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) c) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))) cosTheta)))
(fma.f32 (pow.f32 (cbrt.f32 c) #s(literal 2 binary32)) (cbrt.f32 c) (*.f32 (/.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) c) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))) cosTheta) c))
(fma.f32 (sqrt.f32 c) (sqrt.f32 c) (*.f32 (/.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) c) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))) cosTheta) c))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c))
(*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) c))
(*.f32 (pow.f32 (cbrt.f32 (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c)) #s(literal 2 binary32)) (cbrt.f32 (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c)))
(*.f32 (sqrt.f32 (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c)) (sqrt.f32 (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c)))
(pow.f32 (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c)) #s(literal 2 binary32))
(pow.f32 (/.f32 c (pow.f32 cosTheta #s(literal 2 binary32))) #s(literal -1 binary32))
(log.f32 (exp.f32 (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c))))
(cbrt.f32 (pow.f32 (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c)))
(log1p.f32 (expm1.f32 (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c)))
(exp.f32 (log.f32 (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c)))
(exp.f32 (*.f32 (log.f32 (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c)) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))))
(*.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (pow.f32 (PI.f32) #s(literal -1/2 binary32)))
(*.f32 (cbrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (cbrt.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))))
(*.f32 (sqrt.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))) (sqrt.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))))
(*.f32 (pow.f32 #s(literal 1 binary32) #s(literal 1/2 binary32)) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) #s(literal 2 binary32)) #s(literal 1/2 binary32)) (pow.f32 (cbrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) #s(literal 1/2 binary32)))
(/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (sqrt.f32 (PI.f32)))
(pow.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) #s(literal 1 binary32))
(pow.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)) #s(literal 1/2 binary32))
(pow.f32 (cbrt.f32 (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 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)) #s(literal 3/2 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))) #s(literal 2 binary32))
(log.f32 (exp.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))))))
(cbrt.f32 (pow.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)) #s(literal 3/2 binary32)))
(expm1.f32 (log1p.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))))
(log1p.f32 (expm1.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))))
(exp.f32 (log.f32 (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)))) #s(literal 1 binary32)))
(exp.f32 (*.f32 (log.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) #s(literal 1/2 binary32)))

simplify454.0ms (3%)

Algorithm
1×egg-herbie
Rules
1130×distribute-lft-in
966×*-commutative
940×times-frac
456×+-commutative
334×sub-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0161844852
1448143774
Stop Event
1×node limit
Counts
632 → 818
Calls
Call 1
Inputs
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) c))
(+.f32 #s(literal 1 binary32) (*.f32 c (-.f32 c #s(literal 1 binary32))))
(+.f32 #s(literal 1 binary32) (*.f32 c (-.f32 (*.f32 c (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) c))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) c)
(/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) c)) c)
(/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 c #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) c)) c)
(/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 c #s(literal 2 binary32)))) (+.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (pow.f32 c #s(literal 3 binary32))))) c)
(/.f32 #s(literal 1 binary32) c)
(*.f32 #s(literal -1 binary32) (/.f32 (-.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 #s(literal 1 binary32) c) #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 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) #s(literal 1 binary32)) c)) #s(literal 1 binary32)) c)) #s(literal 1 binary32)) c))
(*.f32 cosTheta (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))
(*.f32 cosTheta (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))
(*.f32 cosTheta (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))
(*.f32 cosTheta (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))
(*.f32 cosTheta (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))
(*.f32 cosTheta (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))
(*.f32 cosTheta (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))
(*.f32 cosTheta (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))
(*.f32 cosTheta (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))
(*.f32 cosTheta (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))
(*.f32 cosTheta (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))
(*.f32 cosTheta (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) (*.f32 c cosTheta))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) (*.f32 c cosTheta))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) (*.f32 c cosTheta))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) (*.f32 c cosTheta))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) (*.f32 c cosTheta))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) (*.f32 c cosTheta))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) (*.f32 c cosTheta))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) (*.f32 c cosTheta))
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 c cosTheta))
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 c cosTheta))
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 c cosTheta))
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 c cosTheta))
(/.f32 #s(literal 1 binary32) (*.f32 c cosTheta))
(/.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c)) (/.f32 #s(literal 1 binary32) c)) cosTheta)
(/.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c)) (/.f32 #s(literal 1 binary32) c)) cosTheta)
(/.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c)) (/.f32 #s(literal 1 binary32) c)) cosTheta)
(*.f32 #s(literal -1 binary32) (/.f32 cosTheta c))
(*.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 c (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) c)))
(*.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 c (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) c)))
(*.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 c (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) c)))
(*.f32 #s(literal -1 binary32) (/.f32 cosTheta c))
(*.f32 #s(literal -1 binary32) (*.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (*.f32 c (pow.f32 cosTheta #s(literal 2 binary32)))))))
(*.f32 #s(literal -1 binary32) (*.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (*.f32 c (pow.f32 cosTheta #s(literal 2 binary32)))))))
(*.f32 #s(literal -1 binary32) (*.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (*.f32 c (pow.f32 cosTheta #s(literal 2 binary32)))))))
(*.f32 (/.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 (/.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 (/.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 (/.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 (/.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 (/.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 (/.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 (/.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 (/.f32 (+.f32 #s(literal 1 binary32) (*.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 (/.f32 (+.f32 #s(literal 1 binary32) (*.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 (/.f32 (+.f32 #s(literal 1 binary32) (*.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 (/.f32 (+.f32 #s(literal 1 binary32) (*.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 (/.f32 #s(literal 1 binary32) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.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 (+.f32 (*.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 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 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta)
(/.f32 (+.f32 (*.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 cosTheta (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (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 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 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta)
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(sqrt.f32 #s(literal 2 binary32)))))))) #s(literal 2 binary32)))))) (*.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 #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))))))))))
#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 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) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))
(*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))
(*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))
(*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))
(*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32)))))
(*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32)))))
(*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32)))))
(*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))
(*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32)))))
(*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32)))))
(*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32)))))
(*.f32 (/.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 c (*.f32 (/.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 c (*.f32 (/.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 c (*.f32 (/.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
(*.f32 c (+.f32 #s(literal 1 binary32) (*.f32 (/.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 c (+.f32 #s(literal 1 binary32) (*.f32 (/.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 c (+.f32 #s(literal 1 binary32) (*.f32 (/.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
(*.f32 #s(literal -1 binary32) (*.f32 c (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (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))))) #s(literal 1 binary32))))
(*.f32 #s(literal -1 binary32) (*.f32 c (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (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))))) #s(literal 1 binary32))))
(*.f32 #s(literal -1 binary32) (*.f32 c (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (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))))) #s(literal 1 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 c (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))) cosTheta)
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(cbrt.f32 (*.f32 (pow.f32 (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 (PI.f32) cosTheta) (-.f32 #s(literal 1 binary32) (pow.f32 (PI.f32) #s(literal -1/2 binary32))))) #s(literal 3 binary32)) (pow.f32 cosTheta #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 (PI.f32) cosTheta) (-.f32 #s(literal 1 binary32) (pow.f32 (PI.f32) #s(literal -1/2 binary32))))))))
(log1p.f32 (expm1.f32 (*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 (PI.f32) cosTheta) (-.f32 #s(literal 1 binary32) (pow.f32 (PI.f32) #s(literal -1/2 binary32))))))))
(exp.f32 (log.f32 (*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 (PI.f32) cosTheta) (-.f32 #s(literal 1 binary32) (pow.f32 (PI.f32) #s(literal -1/2 binary32))))))))
(exp.f32 (*.f32 (log.f32 (*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 (PI.f32) cosTheta) (-.f32 #s(literal 1 binary32) (pow.f32 (PI.f32) #s(literal -1/2 binary32))))))) #s(literal 1 binary32)))
(+.f32 c (*.f32 (/.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) c) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))) cosTheta) c))
(+.f32 (*.f32 c #s(literal 1 binary32)) (*.f32 c (/.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) c) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))) cosTheta)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 c (fma.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) c) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) #s(literal 1 binary32))))) #s(literal 1 binary32))
(pow.f32 (*.f32 c (fma.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) c) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) #s(literal 1 binary32))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 c (fma.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) c) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) #s(literal 1 binary32)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 c (fma.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) c) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) #s(literal 1 binary32))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 c (fma.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) c) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) #s(literal 1 binary32)))) #s(literal 2 binary32))
(log.f32 (pow.f32 (exp.f32 c) (fma.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) c) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) #s(literal 1 binary32))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 c (fma.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) c) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) #s(literal 1 binary32))))))
(cbrt.f32 (pow.f32 (*.f32 c (fma.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) c) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) #s(literal 1 binary32))) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 c #s(literal 3 binary32)) (pow.f32 (fma.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) c) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) #s(literal 1 binary32)) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (fma.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) c) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 c #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 c (fma.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) c) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) #s(literal 1 binary32)))))
(log1p.f32 (expm1.f32 (*.f32 c (fma.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) c) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) #s(literal 1 binary32)))))
(exp.f32 (log.f32 (*.f32 c (fma.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) c) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) #s(literal 1 binary32)))))
(exp.f32 (*.f32 (log.f32 (*.f32 c (fma.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) c) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) #s(literal 1 binary32)))) #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) c (*.f32 (/.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) c) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))) cosTheta) c))
(fma.f32 c #s(literal 1 binary32) (*.f32 c (/.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) c) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))) cosTheta)))
(fma.f32 (pow.f32 (cbrt.f32 c) #s(literal 2 binary32)) (cbrt.f32 c) (*.f32 (/.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) c) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))) cosTheta) c))
(fma.f32 (sqrt.f32 c) (sqrt.f32 c) (*.f32 (/.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) c) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))) cosTheta) c))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c))
(*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) c))
(*.f32 (pow.f32 (cbrt.f32 (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c)) #s(literal 2 binary32)) (cbrt.f32 (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c)))
(*.f32 (sqrt.f32 (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c)) (sqrt.f32 (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c)))
(pow.f32 (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c)) #s(literal 2 binary32))
(pow.f32 (/.f32 c (pow.f32 cosTheta #s(literal 2 binary32))) #s(literal -1 binary32))
(log.f32 (exp.f32 (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c))))
(cbrt.f32 (pow.f32 (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c)))
(log1p.f32 (expm1.f32 (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c)))
(exp.f32 (log.f32 (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c)))
(exp.f32 (*.f32 (log.f32 (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c)) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))))
(*.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (pow.f32 (PI.f32) #s(literal -1/2 binary32)))
(*.f32 (cbrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (cbrt.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))))
(*.f32 (sqrt.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))) (sqrt.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))))
(*.f32 (pow.f32 #s(literal 1 binary32) #s(literal 1/2 binary32)) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) #s(literal 2 binary32)) #s(literal 1/2 binary32)) (pow.f32 (cbrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) #s(literal 1/2 binary32)))
(/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (sqrt.f32 (PI.f32)))
(pow.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) #s(literal 1 binary32))
(pow.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)) #s(literal 1/2 binary32))
(pow.f32 (cbrt.f32 (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 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)) #s(literal 3/2 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))) #s(literal 2 binary32))
(log.f32 (exp.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))))))
(cbrt.f32 (pow.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)) #s(literal 3/2 binary32)))
(expm1.f32 (log1p.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))))
(log1p.f32 (expm1.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))))
(exp.f32 (log.f32 (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)))) #s(literal 1 binary32)))
(exp.f32 (*.f32 (log.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) #s(literal 1/2 binary32)))
Outputs
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) c))
(+.f32 #s(literal 1 binary32) (neg.f32 c))
(-.f32 #s(literal 1 binary32) c)
(+.f32 #s(literal 1 binary32) (*.f32 c (-.f32 c #s(literal 1 binary32))))
(+.f32 #s(literal 1 binary32) (*.f32 c (+.f32 c #s(literal -1 binary32))))
(+.f32 #s(literal 1 binary32) (*.f32 c (-.f32 (*.f32 c (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) c))) #s(literal 1 binary32))))
(+.f32 #s(literal 1 binary32) (*.f32 c (fma.f32 c (+.f32 #s(literal 1 binary32) (neg.f32 c)) #s(literal -1 binary32))))
(+.f32 #s(literal 1 binary32) (*.f32 c (fma.f32 c (-.f32 #s(literal 1 binary32) c) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) c)
(/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) c)) c)
(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) c)) c)
(/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 c #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) c)) c)
(/.f32 (+.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) (pow.f32 c #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) c))) c)
(/.f32 (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (pow.f32 c #s(literal 2 binary32))) (/.f32 #s(literal -1 binary32) c))) c)
(/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 c #s(literal 2 binary32)))) (+.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (pow.f32 c #s(literal 3 binary32))))) c)
(/.f32 (+.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) (pow.f32 c #s(literal 2 binary32))) (+.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (pow.f32 c #s(literal 3 binary32)))))) c)
(/.f32 #s(literal 1 binary32) c)
(*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) #s(literal 1 binary32)) c))
(neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) c) #s(literal -1 binary32)) c))
(/.f32 (+.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 #s(literal 1 binary32) c) #s(literal 1 binary32)) c)) #s(literal 1 binary32)) c))
(neg.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) c) #s(literal -1 binary32)) c) #s(literal -1 binary32)) c))
(/.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal -1 binary32) c) #s(literal 1 binary32)) c) #s(literal -1 binary32)) (neg.f32 c))
(*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) #s(literal 1 binary32)) c)) #s(literal 1 binary32)) c)) #s(literal 1 binary32)) c))
(neg.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) c) #s(literal -1 binary32)) c) #s(literal -1 binary32)) c) #s(literal -1 binary32)) c))
(/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal -1 binary32) c) #s(literal 1 binary32)) c) #s(literal -1 binary32)) c) #s(literal -1 binary32)) (neg.f32 c))
(*.f32 cosTheta (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))
(*.f32 cosTheta (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))
(*.f32 cosTheta (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))
(*.f32 cosTheta (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))
(*.f32 cosTheta (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))
(*.f32 cosTheta (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))
(*.f32 cosTheta (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))
(*.f32 cosTheta (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))
(*.f32 cosTheta (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))
(*.f32 cosTheta (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))
(*.f32 cosTheta (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))
(*.f32 cosTheta (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) (*.f32 c cosTheta))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) (*.f32 c cosTheta))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) (*.f32 c cosTheta))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) (*.f32 c cosTheta))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) (*.f32 c cosTheta))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) (*.f32 c cosTheta))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) (*.f32 c cosTheta))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) (*.f32 c cosTheta))
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 c cosTheta))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) (*.f32 c cosTheta))
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 c cosTheta))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) (*.f32 c cosTheta))
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 c cosTheta))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) (*.f32 c cosTheta))
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 c cosTheta))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) (*.f32 c cosTheta))
(/.f32 #s(literal 1 binary32) (*.f32 c cosTheta))
(/.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c)) (/.f32 #s(literal 1 binary32) c)) cosTheta)
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) (*.f32 c cosTheta))
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(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) (*.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 (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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#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) cosTheta))
(-.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 (fma.f32 #s(literal -1/2 binary32) cosTheta #s(literal -1 binary32))))
(+.f32 #s(literal 1 binary32) (*.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1 binary32))))
(+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1/2 binary32))) #s(literal 1 binary32))))
(+.f32 #s(literal 1 binary32) (*.f32 cosTheta (fma.f32 cosTheta (fma.f32 #s(literal -1/2 binary32) cosTheta #s(literal -1/2 binary32)) #s(literal -1 binary32))))
(+.f32 #s(literal 1 binary32) (*.f32 cosTheta (fma.f32 cosTheta (fma.f32 cosTheta #s(literal -1/2 binary32) #s(literal -1/2 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 1/2 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 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)))))))
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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)))))
(neg.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))) (sqrt.f32 cosTheta)))
(*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))) (neg.f32 (sqrt.f32 cosTheta)))
(*.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 (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 cosTheta (neg.f32 (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 #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 (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)) (*.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 1/2 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))))) (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 cosTheta (neg.f32 (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))))))))
(*.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) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))
(*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 (neg.f32 cosTheta) (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))
(*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))
(*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 (neg.f32 cosTheta) (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))
(*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))
(*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 (neg.f32 cosTheta) (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))
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c
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c
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(*.f32 c (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (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))) #s(literal 1 binary32)))
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(*.f32 c (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (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))) #s(literal 1 binary32)))
(fma.f32 c #s(literal 1 binary32) (*.f32 c (/.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) c) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))) cosTheta)))
(*.f32 c (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (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))) #s(literal 1 binary32)))
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(*.f32 c (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (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))) #s(literal 1 binary32)))
(fma.f32 (sqrt.f32 c) (sqrt.f32 c) (*.f32 (/.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) c) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))) cosTheta) c))
(*.f32 c (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (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))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c))) #s(literal 1 binary32))
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(*.f32 #s(literal 1 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c))
(/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c)
(*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) c))
(/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c)
(*.f32 (pow.f32 (cbrt.f32 (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c)) #s(literal 2 binary32)) (cbrt.f32 (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c)))
(/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c)
(*.f32 (sqrt.f32 (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c)) (sqrt.f32 (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c)))
(/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c)
(pow.f32 (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c) #s(literal 1 binary32))
(/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c)
(pow.f32 (cbrt.f32 (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c)) #s(literal 3 binary32))
(/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c)
(pow.f32 (pow.f32 (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c)
(pow.f32 (sqrt.f32 (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c)) #s(literal 2 binary32))
(/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c)
(pow.f32 (/.f32 c (pow.f32 cosTheta #s(literal 2 binary32))) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 c (pow.f32 cosTheta #s(literal 2 binary32))))
(log.f32 (exp.f32 (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c)))
(/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c)
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c))))
(/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c)
(cbrt.f32 (pow.f32 (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c) #s(literal 3 binary32)))
(/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c)
(expm1.f32 (log1p.f32 (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c)))
(log1p.f32 (expm1.f32 (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c)))
(/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c)
(exp.f32 (log.f32 (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c)))
(/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c)
(exp.f32 (*.f32 (log.f32 (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c)) #s(literal 1 binary32)))
(/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c)
(-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))))) #s(literal 1 binary32))
(expm1.f32 (log1p.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))))
(*.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))))
(sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))
(*.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (pow.f32 (PI.f32) #s(literal -1/2 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))))
(*.f32 (cbrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (cbrt.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))))
(*.f32 (sqrt.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))) (sqrt.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))))
(sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))
(*.f32 (pow.f32 #s(literal 1 binary32) #s(literal 1/2 binary32)) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))))
(sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) #s(literal 2 binary32)) #s(literal 1/2 binary32)) (pow.f32 (cbrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) #s(literal 1/2 binary32)))
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) #s(literal 2 binary32))) (sqrt.f32 (cbrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))))
(*.f32 (fabs.f32 (cbrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))) (sqrt.f32 (cbrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))))
(/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (sqrt.f32 (PI.f32)))
(pow.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) #s(literal 1 binary32))
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(pow.f32 (cbrt.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))) #s(literal 3 binary32))
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(pow.f32 (sqrt.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))) #s(literal 2 binary32))
(sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))
(log.f32 (exp.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))))
(sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))))))
(sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))
(cbrt.f32 (pow.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)) #s(literal 3/2 binary32)))
(expm1.f32 (log1p.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))))
(log1p.f32 (expm1.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))))
(sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))
(exp.f32 (log.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))))
(sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))) #s(literal 1 binary32)))
(sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))
(exp.f32 (*.f32 (log.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) #s(literal 1/2 binary32)))
(sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))

eval348.0ms (2.3%)

Compiler

Compiled 44298 to 6680 computations (84.9% saved)

prune284.0ms (1.9%)

Pruning

37 alts after pruning (36 fresh and 1 done)

PrunedKeptTotal
New1158181176
Fresh131831
Picked415
Done101
Total1176371213
Accuracy
100.0%
Counts
1213 → 37
Alt Table
Click to see full alt table
StatusAccuracyProgram
91.1%
(pow.f32 (*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/4 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) cosTheta))) #s(literal -2 binary32))
97.1%
(pow.f32 (sqrt.f32 (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))) #s(literal -2 binary32))
▶97.8%
(pow.f32 (sqrt.f32 (/.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)))) #s(literal 2 binary32))
94.6%
(pow.f32 (sqrt.f32 (*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 (PI.f32) cosTheta) (-.f32 #s(literal 1 binary32) (pow.f32 (PI.f32) #s(literal -1/2 binary32))))))) #s(literal 2 binary32))
94.2%
(pow.f32 (cbrt.f32 (*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 (PI.f32) cosTheta) (-.f32 #s(literal 1 binary32) (pow.f32 (PI.f32) #s(literal -1/2 binary32))))))) #s(literal 3 binary32))
94.7%
(/.f32 #s(literal 1 binary32) (/.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))
91.9%
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))
11.0%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 2 binary32) c) #s(literal -1 binary32)))
91.4%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (/.f32 (sqrt.f32 (+.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
95.2%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal -3/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
91.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))
96.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (/.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)))))))
97.5%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))))
96.5%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.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))))))
▶97.5%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))))
94.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))))
91.5%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))
57.3%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (/.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)))))
▶54.1%
(/.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))) (*.f32 cosTheta c))))))
59.0%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) c) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))))))
53.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c)) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))
60.2%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta))) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))))))
59.0%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 cosTheta (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) c))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))))))
57.1%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta c)) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))))))
53.8%
(/.f32 #s(literal 1 binary32) (+.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))))))))
✓11.0%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c))
91.8%
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))
11.0%
(-.f32 #s(literal 1 binary32) c)
▶60.0%
(*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (/.f32 (sqrt.f32 (PI.f32)) cosTheta) (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))
60.0%
(*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32)))))
96.6%
(*.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 (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)))) (/.f32 #s(literal 1 binary32) (pow.f32 (cbrt.f32 (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))) #s(literal 2 binary32))))
95.1%
(*.f32 cosTheta (-.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32))) (*.f32 (*.f32 cosTheta (PI.f32)) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))
95.5%
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))
95.3%
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) (-.f32 #s(literal 1 binary32) (pow.f32 (PI.f32) #s(literal -1/2 binary32))))))
92.5%
(*.f32 cosTheta (sqrt.f32 (PI.f32)))
97.5%
(log1p.f32 (expm1.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))) #s(literal 1 binary32)))))
▶11.0%
#s(literal 1 binary32)
Compiler

Compiled 1431 to 995 computations (30.5% saved)

simplify104.0ms (0.7%)

Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f32 (PI.f32))
✓cost-diff0
(/.f32 (sqrt.f32 (PI.f32)) cosTheta)
cost-diff0
(pow.f32 cosTheta #s(literal 2 binary32))
✓cost-diff96
(*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (/.f32 (sqrt.f32 (PI.f32)) cosTheta) (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))
✓cost-diff-3136
(exp.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta)))
✓cost-diff-3136
(/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta))) cosTheta)
cost-diff0
(PI.f32)
✓cost-diff0
(*.f32 #s(literal 2 binary32) cosTheta)
✓cost-diff0
(+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c)))
✓cost-diff128
(*.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c))))
✓cost-diff128
(+.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)))))
✓cost-diff128
(/.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))) (*.f32 cosTheta c))))))
✓cost-diff3168
(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))
✓cost-diff3168
(/.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)))
✓cost-diff3168
(sqrt.f32 (/.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))))
✓cost-diff9600
(pow.f32 (sqrt.f32 (/.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)))) #s(literal 2 binary32))
Rules
1766×unsub-neg
956×fma-define
782×distribute-lft-in
700×fma-neg
664×distribute-rgt-in
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
0511324
11101268
22171263
35331219
413561219
534101213
660451213
Stop Event
1×node limit
Calls
Call 1
Inputs
(pow.f32 (sqrt.f32 (/.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)))) #s(literal 2 binary32))
(sqrt.f32 (/.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 #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)))
#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 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))
(sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)))
(fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))
cosTheta
#s(literal -2 binary32)
(*.f32 (sqrt.f32 (PI.f32)) cosTheta)
(sqrt.f32 (PI.f32))
(PI.f32)
(exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))
(neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))
(pow.f32 cosTheta #s(literal 2 binary32))
#s(literal 2 binary32)
(+.f32 #s(literal 1 binary32) c)
c
#s(literal 1 binary32)
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c))))))
#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))) (*.f32 cosTheta c)))))
(*.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c))))
c
(+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c)))
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))
(/.f32 #s(literal 1 binary32) (PI.f32))
(PI.f32)
(*.f32 cosTheta c)
cosTheta
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta))) 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) (*.f32 cosTheta cosTheta))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))
(/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta))) cosTheta)
(exp.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta)))
(*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta))
#s(literal -1 binary32)
(*.f32 cosTheta cosTheta)
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 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))
(*.f32 #s(literal 2 binary32) cosTheta)
#s(literal 2 binary32)
(PI.f32)
(*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (/.f32 (sqrt.f32 (PI.f32)) cosTheta) (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))
(pow.f32 cosTheta #s(literal 2 binary32))
cosTheta
#s(literal 2 binary32)
(-.f32 (/.f32 (sqrt.f32 (PI.f32)) cosTheta) (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))
(/.f32 (sqrt.f32 (PI.f32)) cosTheta)
(sqrt.f32 (PI.f32))
(PI.f32)
(*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))
(-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))
#s(literal 1 binary32)
(sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))
(/.f32 #s(literal 1 binary32) (PI.f32))
Outputs
(pow.f32 (sqrt.f32 (/.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)))) #s(literal 2 binary32))
(pow.f32 (sqrt.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)))) #s(literal 2 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)))
(/.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 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 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 cosTheta (*.f32 (sqrt.f32 (PI.f32)) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))))))
(sqrt.f32 (/.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))))
(sqrt.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))))
(sqrt.f32 (/.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 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) c))))
(sqrt.f32 (/.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 cosTheta (*.f32 (sqrt.f32 (PI.f32)) (exp.f32 (pow.f32 cosTheta #s(literal 2 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)))
(pow.f32 (sqrt.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)))) #s(literal 2 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)))
(/.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 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 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 cosTheta (*.f32 (sqrt.f32 (PI.f32)) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))))))
#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))
(+.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)))) c))
(+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 cosTheta (*.f32 (sqrt.f32 (PI.f32)) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))))
(/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))
(/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))
(sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)))
(fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))
cosTheta
#s(literal -2 binary32)
(*.f32 (sqrt.f32 (PI.f32)) cosTheta)
(*.f32 cosTheta (sqrt.f32 (PI.f32)))
(sqrt.f32 (PI.f32))
(PI.f32)
(exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))
(neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))
(pow.f32 cosTheta #s(literal 2 binary32))
#s(literal 2 binary32)
(+.f32 #s(literal 1 binary32) c)
c
#s(literal 1 binary32)
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c))))))
(/.f32 #s(literal 1 binary32) (fma.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c))) #s(literal 1 binary32)))
(/.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 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))
#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))) (*.f32 cosTheta c)))))
(fma.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c))) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))
(+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))
(*.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c))))
(fma.f32 c (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c)) c)
(+.f32 c (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))
c
(+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c)))
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))
(/.f32 #s(literal 1 binary32) (PI.f32))
(PI.f32)
(*.f32 cosTheta c)
cosTheta
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta))) 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 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.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))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))))
(+.f32 #s(literal 1 binary32) (*.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)))))
(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))
(fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))
(+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))
(*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))
(*.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 (/.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 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))
(/.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))
(/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta))) cosTheta)
(/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)
(exp.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta)))
(exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))
(*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta))
(neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))
#s(literal -1 binary32)
(*.f32 cosTheta cosTheta)
(pow.f32 cosTheta #s(literal 2 binary32))
cosTheta
(sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))
(sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32)))
(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 2 binary32) cosTheta)) (PI.f32))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))
(/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))
(-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))
(fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))
(*.f32 #s(literal 2 binary32) cosTheta)
(*.f32 cosTheta #s(literal 2 binary32))
#s(literal 2 binary32)
(PI.f32)
(*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (/.f32 (sqrt.f32 (PI.f32)) cosTheta) (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))
(*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (neg.f32 (PI.f32)) (/.f32 (sqrt.f32 (PI.f32)) cosTheta)))
(*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (fma.f32 (PI.f32) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -1 binary32)) (/.f32 (sqrt.f32 (PI.f32)) cosTheta)))
(*.f32 cosTheta (fma.f32 cosTheta (*.f32 (PI.f32) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -1 binary32))) (sqrt.f32 (PI.f32))))
(pow.f32 cosTheta #s(literal 2 binary32))
cosTheta
#s(literal 2 binary32)
(-.f32 (/.f32 (sqrt.f32 (PI.f32)) cosTheta) (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))
(fma.f32 (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (neg.f32 (PI.f32)) (/.f32 (sqrt.f32 (PI.f32)) cosTheta))
(fma.f32 (PI.f32) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -1 binary32)) (/.f32 (sqrt.f32 (PI.f32)) cosTheta))
(/.f32 (sqrt.f32 (PI.f32)) cosTheta)
(sqrt.f32 (PI.f32))
(PI.f32)
(*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))
(-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))
#s(literal 1 binary32)
(sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))
(/.f32 #s(literal 1 binary32) (PI.f32))

localize210.0ms (1.4%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy98.7%
(/.f32 (sqrt.f32 (PI.f32)) cosTheta)
accuracy96.9%
(-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))
accuracy96.9%
(sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))
✓accuracy63.8%
(*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (/.f32 (sqrt.f32 (PI.f32)) cosTheta) (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))
accuracy99.7%
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))
✓accuracy99.2%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))))
✓accuracy98.3%
(*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))
accuracy97.7%
(sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))
✓accuracy99.3%
(/.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))) (*.f32 cosTheta c))))))
✓accuracy98.9%
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c))
accuracy96.9%
(sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))
✓accuracy61.0%
(*.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c))))
✓accuracy99.2%
(/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))
✓accuracy99.2%
(/.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)))
accuracy98.9%
(*.f32 (sqrt.f32 (PI.f32)) cosTheta)
✓accuracy98.4%
(pow.f32 (sqrt.f32 (/.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)))) #s(literal 2 binary32))
Results
141.0ms256×0valid
Compiler

Compiled 381 to 45 computations (88.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 88.0ms
ival-mult: 28.0ms (31.8% of total)
ival-div: 17.0ms (19.3% of total)
ival-sqrt: 13.0ms (14.7% of total)
ival-fma: 9.0ms (10.2% of total)
ival-add: 6.0ms (6.8% of total)
ival-pow: 6.0ms (6.8% of total)
ival-exp: 4.0ms (4.5% of total)
ival-sub: 4.0ms (4.5% of total)
ival-pi: 1.0ms (1.1% of total)
const: 1.0ms (1.1% of total)
ival-neg: 1.0ms (1.1% of total)
backward-pass: 0.0ms (0% of total)

series101.0ms (0.7%)

Counts
17 → 300
Calls
Call 1
Inputs
#<alt (pow.f32 (sqrt.f32 (/.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)))) #s(literal 2 binary32))>
#<alt (sqrt.f32 (/.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))))>
#<alt (/.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)))>
#<alt (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))>
#<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))) (*.f32 cosTheta c))))))>
#<alt (+.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)))))>
#<alt (*.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c))))>
#<alt (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c)))>
#<alt (*.f32 #s(literal 2 binary32) cosTheta)>
#<alt (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta))) cosTheta)>
#<alt (exp.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta)))>
#<alt (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (/.f32 (sqrt.f32 (PI.f32)) cosTheta) (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))>
#<alt (/.f32 (sqrt.f32 (PI.f32)) cosTheta)>
#<alt (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))>
#<alt (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c))>
#<alt (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta))) 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) (*.f32 cosTheta cosTheta))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))))>
Outputs
#<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 (neg.f32 (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 (neg.f32 (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 (neg.f32 (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 (neg.f32 (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 (neg.f32 (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 (neg.f32 (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 (neg.f32 (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 (neg.f32 (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 (neg.f32 (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 (neg.f32 (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 (neg.f32 (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 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 (*.f32 #s(literal -1/4 binary32) (/.f32 (*.f32 cosTheta (pow.f32 (exp.f32 (neg.f32 (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 (neg.f32 (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 (neg.f32 (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 (neg.f32 (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 (neg.f32 (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 (neg.f32 (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 (neg.f32 (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 (neg.f32 (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 (neg.f32 (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 (neg.f32 (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 (neg.f32 (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 (neg.f32 (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 (neg.f32 (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 (neg.f32 (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 (neg.f32 (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 (neg.f32 (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 (neg.f32 (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 (neg.f32 (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 (neg.f32 (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 (neg.f32 (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 (neg.f32 (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 (neg.f32 (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 (neg.f32 (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 (neg.f32 (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 (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 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (*.f32 (exp.f32 (neg.f32 (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 (neg.f32 (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 (neg.f32 (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 (neg.f32 (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 (neg.f32 (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 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#<alt (/.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 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))))>
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#<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 (neg.f32 (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 (neg.f32 (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 (neg.f32 (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 (neg.f32 (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 (neg.f32 (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 (neg.f32 (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 (neg.f32 (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 (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 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (*.f32 (exp.f32 (neg.f32 (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 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 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 (/.f32 (exp.f32 (neg.f32 (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 (neg.f32 (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 (neg.f32 (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 (neg.f32 (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 (neg.f32 (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 (neg.f32 (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 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (neg.f32 (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 (neg.f32 (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 (neg.f32 (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 (neg.f32 (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 (neg.f32 (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 (neg.f32 (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 (neg.f32 (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 (neg.f32 (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 (neg.f32 (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 (neg.f32 (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 (neg.f32 (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 (/.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 #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 (neg.f32 (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 (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)))))))>
#<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 (neg.f32 (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 (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))))))))>
#<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 (neg.f32 (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 (neg.f32 (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 (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)))))))))>
#<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 (neg.f32 (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 (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 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (*.f32 (exp.f32 (neg.f32 (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 (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 -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (*.f32 (exp.f32 (neg.f32 (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 (neg.f32 (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 (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 -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (*.f32 (exp.f32 (neg.f32 (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 (neg.f32 (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 (neg.f32 (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 (neg.f32 (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 (neg.f32 (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 (neg.f32 (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 (neg.f32 (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>
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#<alt (*.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 (/.f32 (exp.f32 (neg.f32 (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 (neg.f32 (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>
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#<alt (*.f32 #s(literal -1 binary32) (*.f32 c (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) 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 (neg.f32 (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 #s(literal 1 binary32) (*.f32 (/.f32 #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 #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 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))>
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#<alt (+.f32 (*.f32 c (-.f32 (*.f32 c (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 c (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 #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 #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 #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 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))>
#<alt (/.f32 #s(literal 1 binary32) c)>
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#<alt (/.f32 #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) c))))))>
#<alt (*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (-.f32 (*.f32 (*.f32 cosTheta (pow.f32 (+.f32 #s(literal 1 binary32) c) #s(literal 2 binary32))) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)))) (*.f32 (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 (pow.f32 (PI.f32) #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) c) #s(literal 3 binary32))))) (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) c) #s(literal 2 binary32)))))) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) c))))))>
#<alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (pow.f32 (+.f32 #s(literal 1 binary32) c) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c)))>
#<alt (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (pow.f32 (+.f32 #s(literal 1 binary32) c) #s(literal 3 binary32))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c))) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (pow.f32 (+.f32 #s(literal 1 binary32) c) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))>
#<alt (-.f32 (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) c) #s(literal 4 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32)))))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (pow.f32 (+.f32 #s(literal 1 binary32) c) #s(literal 3 binary32))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c)))) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (pow.f32 (+.f32 #s(literal 1 binary32) c) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))>
#<alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (pow.f32 (+.f32 #s(literal 1 binary32) c) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c)))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (pow.f32 (+.f32 #s(literal 1 binary32) c) #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 #s(literal 1 binary32) c) #s(literal 3 binary32))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c))))>
#<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 #s(literal 1 binary32) c) #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 #s(literal 1 binary32) c) #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 #s(literal 1 binary32) c) #s(literal 2 binary32)))))) cosTheta)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c)))>
#<alt (+.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 c (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))>
#<alt (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))>
#<alt (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (/.f32 #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 #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 #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 #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 #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 #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 #s(literal 1 binary32) cosTheta) (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))))>
#<alt (/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) c))) cosTheta)>
#<alt (/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) c))) cosTheta)>
#<alt (/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) c))) cosTheta)>
#<alt (+.f32 #s(literal 1 binary32) c)>
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#<alt (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))>
#<alt (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))>
#<alt (+.f32 #s(literal 1 binary32) c)>
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#<alt (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))>
#<alt (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))>
#<alt (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))>
#<alt (+.f32 c (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))>
#<alt (+.f32 c (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))>
#<alt (+.f32 c (*.f32 (/.f32 #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 #s(literal 1 binary32) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))>
#<alt (*.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))))))>
#<alt (*.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))))))>
#<alt c>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 c (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #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 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #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 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal 1 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 c cosTheta)) cosTheta)>
#<alt (/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 c cosTheta)) cosTheta)>
#<alt (/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 c cosTheta)) cosTheta)>
#<alt c>
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#<alt (+.f32 c (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))>
#<alt c>
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#<alt (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))>
#<alt (/.f32 (+.f32 cosTheta (*.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta)>
#<alt (/.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 #s(literal 1 binary32)>
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#<alt (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))>
#<alt #s(literal 1 binary32)>
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#<alt (/.f32 (+.f32 c (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) c)>
#<alt (/.f32 (+.f32 c (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) c)>
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#<alt #s(literal 1 binary32)>
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#<alt #s(literal 1 binary32)>
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#<alt (/.f32 #s(literal 1 binary32) cosTheta)>
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#<alt (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/6 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))) #s(literal 1 binary32)))) cosTheta)>
#<alt (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)>
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#<alt (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)>
#<alt (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)>
#<alt #s(literal 1 binary32)>
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#<alt (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/2 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) #s(literal 1 binary32))))>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/6 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))) #s(literal 1 binary32))))>
#<alt (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))>
#<alt (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))>
#<alt (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))>
#<alt (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))>
#<alt (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))>
#<alt (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))>
#<alt (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))>
#<alt (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))>
#<alt (*.f32 cosTheta (sqrt.f32 (PI.f32)))>
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#<alt (*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (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) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (-.f32 #s(literal 1 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 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32)))))>
#<alt (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32)))))>
#<alt (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (-.f32 #s(literal 1 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 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32)))))>
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#<alt (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32)))))>
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#<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 #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)))))))>
#<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 (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)))))))) (*.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 (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 (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 (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 (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 (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 (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 (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 #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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(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))))))))) (*.f32 (sqrt.f32 #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)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))))))))))) (pow.f32 cosTheta #s(literal 6 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 (*.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 (*.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))) (*.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 (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 #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))))))))))>
Calls

78 calls:

TimeVariablePointExpression
14.0ms
cosTheta
@inf
(pow (sqrt (/ 1 (+ (* (/ (sqrt (+ (* cosTheta -2) 1)) (* (sqrt (PI)) cosTheta)) (exp (neg (pow cosTheta 2)))) (+ 1 c)))) 2)
7.0ms
cosTheta
@inf
(sqrt (/ 1 (+ (* (/ (sqrt (+ (* cosTheta -2) 1)) (* (sqrt (PI)) cosTheta)) (exp (neg (pow cosTheta 2)))) (+ 1 c))))
5.0ms
cosTheta
@-inf
(pow (sqrt (/ 1 (+ (* (/ (sqrt (+ (* cosTheta -2) 1)) (* (sqrt (PI)) cosTheta)) (exp (neg (pow cosTheta 2)))) (+ 1 c)))) 2)
5.0ms
cosTheta
@-inf
(sqrt (/ 1 (+ (* (/ (sqrt (+ (* cosTheta -2) 1)) (* (sqrt (PI)) cosTheta)) (exp (neg (pow cosTheta 2)))) (+ 1 c))))
4.0ms
cosTheta
@inf
(+ (* (/ (sqrt (+ (* cosTheta -2) 1)) (* (sqrt (PI)) cosTheta)) (exp (neg (pow cosTheta 2)))) (+ 1 c))

rewrite319.0ms (2.1%)

Algorithm
1×batch-egg-rewrite
Rules
400×log1p-expm1-u
400×expm1-log1p-u
392×add-exp-log
392×add-cube-cbrt
390×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
051833
1941793
Stop Event
1×node limit
Counts
17 → 312
Calls
Call 1
Inputs
(pow.f32 (sqrt.f32 (/.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)))) #s(literal 2 binary32))
(sqrt.f32 (/.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 #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 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))
(/.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))) (*.f32 cosTheta c))))))
(+.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 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 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c)))
(*.f32 #s(literal 2 binary32) cosTheta)
(/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta))) cosTheta)
(exp.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta)))
(*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (/.f32 (sqrt.f32 (PI.f32)) cosTheta) (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))
(/.f32 (sqrt.f32 (PI.f32)) cosTheta)
(/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c))
(*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta))) 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) (*.f32 cosTheta cosTheta))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))))
Outputs
(-.f32 (exp.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))))) #s(literal 1 binary32))
(*.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 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 (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 -1/2 binary32)) (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 -1/2 binary32)))
(*.f32 (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 #s(literal 1 binary32) (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)))))
(*.f32 (pow.f32 (pow.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))) #s(literal 2 binary32)) #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 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 (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)))
(/.f32 #s(literal 1 binary32) (/.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 1 binary32)))
(/.f32 #s(literal -1 binary32) (neg.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))))
(log.f32 (exp.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)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.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))))))
(cbrt.f32 (pow.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))) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.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))) #s(literal 3/2 binary32)) (pow.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))) #s(literal 3/2 binary32))))
(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 (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 (log.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)))))
(exp.f32 (*.f32 (log.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 -1 binary32)))
(exp.f32 (*.f32 (neg.f32 (log.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 1 binary32)))
(-.f32 (exp.f32 (log1p.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 -1/2 binary32)))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (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 -1/2 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (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 -1/2 binary32))))
(*.f32 (sqrt.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 -1/2 binary32))) (sqrt.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 -1/2 binary32))))
(*.f32 (pow.f32 #s(literal 1 binary32) #s(literal 1/2 binary32)) (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 -1/2 binary32)))
(*.f32 (pow.f32 (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))) #s(literal 1/2 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (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)))) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) (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))))
(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 -1/2 binary32))
(pow.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))) #s(literal 1/2 binary32))
(pow.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 -1/2 binary32)) #s(literal 1 binary32))
(pow.f32 (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 -1/2 binary32))) #s(literal 3 binary32))
(pow.f32 (pow.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))) #s(literal 3/2 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 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 (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 -1/2 binary32))) #s(literal 2 binary32))
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(cbrt.f32 (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 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))) #s(literal 1 binary32))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (exp.f32 (neg.f32 (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)))))
(log1p.f32 (expm1.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (exp.f32 (neg.f32 (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)))))
(exp.f32 (neg.f32 (log1p.f32 (*.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))))))
(exp.f32 (*.f32 (log1p.f32 (*.f32 (/.f32 (exp.f32 (neg.f32 (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)))
(exp.f32 (*.f32 (neg.f32 (log1p.f32 (*.f32 (/.f32 (exp.f32 (neg.f32 (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)))

simplify594.0ms (3.9%)

Algorithm
1×egg-herbie
Rules
1072×distribute-lft-in
1036×distribute-rgt-in
1018×times-frac
894×*-commutative
470×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0148758618
1414856712
Stop Event
1×node limit
Counts
612 → 713
Calls
Call 1
Inputs
(*.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 (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 (neg.f32 (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 (neg.f32 (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 (neg.f32 (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 (neg.f32 (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 (neg.f32 (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 (neg.f32 (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 (neg.f32 (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 (neg.f32 (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 (neg.f32 (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 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))) #s(literal 2 binary32)))))))
(-.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 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 (*.f32 #s(literal -1/4 binary32) (/.f32 (*.f32 cosTheta (pow.f32 (exp.f32 (neg.f32 (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 (neg.f32 (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 (neg.f32 (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 (neg.f32 (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 (neg.f32 (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 (neg.f32 (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 (neg.f32 (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 (neg.f32 (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 (neg.f32 (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 (neg.f32 (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 (neg.f32 (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 (neg.f32 (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 (neg.f32 (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 (neg.f32 (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 (neg.f32 (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 (neg.f32 (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 #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 (*.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 (neg.f32 (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 (neg.f32 (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 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))))))))
(-.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 (neg.f32 (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 (neg.f32 (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 (neg.f32 (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 (neg.f32 (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 (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 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (*.f32 (exp.f32 (neg.f32 (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 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))))))) #s(literal 2 binary32)))))))
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c
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c
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c
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c
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c
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(exp.f32 (neg.f32 (log1p.f32 (*.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))))))
(exp.f32 (*.f32 (log1p.f32 (*.f32 (/.f32 (exp.f32 (neg.f32 (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)))
(exp.f32 (*.f32 (neg.f32 (log1p.f32 (*.f32 (/.f32 (exp.f32 (neg.f32 (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)))
Outputs
(*.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 (neg.f32 cosTheta) (*.f32 (PI.f32) (+.f32 (+.f32 #s(literal 1 binary32) c) (neg.f32 (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 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 (neg.f32 cosTheta) (fma.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) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #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 (+.f32 #s(literal 1 binary32) c) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))))
(*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (-.f32 (*.f32 (-.f32 (*.f32 (PI.f32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (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))))))))))
(*.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 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (fma.f32 cosTheta (-.f32 (*.f32 (neg.f32 cosTheta) (fma.f32 #s(literal -1 binary32) (*.f32 (*.f32 (sqrt.f32 (PI.f32)) (+.f32 (+.f32 #s(literal 1 binary32) c) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (fma.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) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal 2 binary32))) (*.f32 (PI.f32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32))))) (fma.f32 #s(literal -1 binary32) (*.f32 (*.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (+.f32 (+.f32 #s(literal 1 binary32) c) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32))) (*.f32 (PI.f32) (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))) (fma.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) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) #s(literal 2 binary32))) (*.f32 (PI.f32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32))))) (neg.f32 (*.f32 (PI.f32) (+.f32 (+.f32 #s(literal 1 binary32) c) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))))
(*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (fma.f32 cosTheta (-.f32 (*.f32 (-.f32 (-.f32 (*.f32 (PI.f32) (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (*.f32 (*.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32)))) (*.f32 (*.f32 (sqrt.f32 (PI.f32)) (+.f32 #s(literal 1 binary32) (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (-.f32 (*.f32 (PI.f32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (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 (*.f32 (PI.f32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (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 (PI.f32) (neg.f32 (+.f32 #s(literal 1 binary32) (-.f32 c (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 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.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 (neg.f32 (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 (neg.f32 (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 (neg.f32 (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 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32))) (pow.f32 (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))) (sqrt.f32 #s(literal -2 binary32)))) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (exp.f32 (neg.f32 (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 (neg.f32 (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 (neg.f32 (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 (neg.f32 (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 (neg.f32 (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 (neg.f32 (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 (neg.f32 (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 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))) #s(literal 2 binary32)))))))
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c
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c
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#s(literal 1 binary32)
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(*.f32 cosTheta (sqrt.f32 (PI.f32)))
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(*.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 (*.f32 #s(literal 1/2 binary32) (-.f32 (log1p.f32 (*.f32 #s(literal -2 binary32) cosTheta)) (log.f32 (PI.f32)))) (-.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (log.f32 cosTheta))))
(exp.f32 (fma.f32 #s(literal 1/2 binary32) (-.f32 (log1p.f32 (*.f32 cosTheta #s(literal -2 binary32))) (log.f32 (PI.f32))) (-.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (log.f32 cosTheta))))
(/.f32 (exp.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (log1p.f32 (*.f32 cosTheta #s(literal -2 binary32))) (log.f32 (PI.f32)))) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)
(exp.f32 (*.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (log1p.f32 (*.f32 #s(literal -2 binary32) cosTheta)) (log.f32 (PI.f32)))) (-.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (log.f32 cosTheta))) #s(literal 1 binary32)))
(exp.f32 (fma.f32 #s(literal 1/2 binary32) (-.f32 (log1p.f32 (*.f32 cosTheta #s(literal -2 binary32))) (log.f32 (PI.f32))) (-.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (log.f32 cosTheta))))
(/.f32 (exp.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (log1p.f32 (*.f32 cosTheta #s(literal -2 binary32))) (log.f32 (PI.f32)))) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)
(-.f32 (exp.f32 (log1p.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (exp.f32 (neg.f32 (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 1 binary32))
(expm1.f32 (log1p.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))) #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 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.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))) #s(literal 1 binary32)))
(*.f32 (cbrt.f32 (pow.f32 (fma.f32 (/.f32 (exp.f32 (neg.f32 (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))) (/.f32 #s(literal 1 binary32) (cbrt.f32 (fma.f32 (/.f32 (exp.f32 (neg.f32 (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 (cbrt.f32 (pow.f32 (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)) #s(literal -2 binary32))) (/.f32 #s(literal 1 binary32) (cbrt.f32 (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)))))
(/.f32 (cbrt.f32 (pow.f32 (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)) #s(literal -2 binary32))) (cbrt.f32 (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))))
(*.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 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))) #s(literal 1 binary32)))) (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 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.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))) #s(literal 1 binary32)))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (fma.f32 (/.f32 (exp.f32 (neg.f32 (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)) #s(literal -1 binary32)) (pow.f32 (cbrt.f32 (fma.f32 (/.f32 (exp.f32 (neg.f32 (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 -1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 (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)))) (/.f32 #s(literal 1 binary32) (pow.f32 (cbrt.f32 (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))) #s(literal 2 binary32))))
(*.f32 (pow.f32 (sqrt.f32 (fma.f32 (/.f32 (exp.f32 (neg.f32 (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 -1 binary32)) (pow.f32 (sqrt.f32 (fma.f32 (/.f32 (exp.f32 (neg.f32 (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 -1 binary32)))
(pow.f32 (sqrt.f32 (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))) #s(literal -2 binary32))
(pow.f32 (fma.f32 (/.f32 (exp.f32 (neg.f32 (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 -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))) #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 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))) #s(literal 1 binary32))) #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))) #s(literal 1 binary32)))
(pow.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 (fma.f32 (/.f32 (exp.f32 (neg.f32 (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 3 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))) #s(literal 1 binary32)))
(pow.f32 (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 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))) #s(literal 1 binary32))) #s(literal 3 binary32)) #s(literal 1/3 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))) #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 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))) #s(literal 1 binary32)))) #s(literal 2 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))) #s(literal 1 binary32)))
(pow.f32 (/.f32 (fma.f32 (/.f32 (exp.f32 (neg.f32 (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 1 binary32)) #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))) #s(literal 1 binary32)))
(log.f32 (exp.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (exp.f32 (neg.f32 (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 #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)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (exp.f32 (neg.f32 (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 #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)))
(cbrt.f32 (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 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))) #s(literal 1 binary32))) #s(literal 3 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))) #s(literal 1 binary32)))
(expm1.f32 (log1p.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (exp.f32 (neg.f32 (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)))))
(expm1.f32 (log1p.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))) #s(literal 1 binary32)))))
(log1p.f32 (expm1.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (exp.f32 (neg.f32 (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 #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 (/.f32 (exp.f32 (neg.f32 (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) (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 (*.f32 (log1p.f32 (*.f32 (/.f32 (exp.f32 (neg.f32 (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 #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 (*.f32 (neg.f32 (log1p.f32 (*.f32 (/.f32 (exp.f32 (neg.f32 (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 #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)))

eval223.0ms (1.5%)

Compiler

Compiled 42564 to 5483 computations (87.1% saved)

prune235.0ms (1.6%)

Pruning

43 alts after pruning (40 fresh and 3 done)

PrunedKeptTotal
New1046181064
Fresh92231
Picked325
Done011
Total1058431101
Accuracy
100.0%
Counts
1101 → 43
Alt Table
Click to see full alt table
StatusAccuracyProgram
91.1%
(pow.f32 (*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/4 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) cosTheta))) #s(literal -2 binary32))
90.9%
(pow.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (sqrt.f32 cosTheta)) #s(literal 2 binary32))
54.0%
(pow.f32 (sqrt.f32 (fma.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 cosTheta c))) #s(literal 1 binary32))) #s(literal -2 binary32))
91.6%
(pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))) #s(literal 2 binary32))
97.6%
(pow.f32 (sqrt.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 #s(literal -2 binary32) cosTheta)) (PI.f32)))))))) #s(literal 2 binary32))
59.9%
(pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 (/.f32 (exp.f32 (neg.f32 (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 2 binary32))
94.2%
(pow.f32 (cbrt.f32 (*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 (PI.f32) cosTheta) (-.f32 #s(literal 1 binary32) (pow.f32 (PI.f32) #s(literal -1/2 binary32))))))) #s(literal 3 binary32))
94.7%
(/.f32 #s(literal 1 binary32) (/.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))
91.9%
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))
11.0%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 2 binary32) c) #s(literal -1 binary32)))
91.4%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (/.f32 (sqrt.f32 (+.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
95.2%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal -3/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
97.6%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))) cosTheta)))
91.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))
96.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (/.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)))))))
96.5%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.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))))))
✓97.5%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))))
97.5%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta))) cosTheta) (sqrt.f32 (-.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (*.f32 cosTheta #s(literal 2 binary32)) (PI.f32)))))))
97.4%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta))) cosTheta) (sqrt.f32 (*.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))) (/.f32 #s(literal 2 binary32) (PI.f32))))))))
94.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))))
91.5%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))
54.2%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 c (/.f32 (+.f32 cosTheta (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c)) cosTheta))))
54.1%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 c (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c)))))
54.1%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal -3/2 binary32)) (*.f32 cosTheta c))))))
54.1%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (/.f32 c (pow.f32 (PI.f32) #s(literal -1/2 binary32)))))))))
59.0%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) c) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))))))
60.2%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta))) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))))))
57.1%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta c)) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))))))
53.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 c (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))
53.7%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) c) cosTheta)))))
✓11.0%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c))
91.8%
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))
11.0%
(-.f32 #s(literal 1 binary32) c)
60.0%
(*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))) (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))
96.6%
(*.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 (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)))) (/.f32 #s(literal 1 binary32) (pow.f32 (cbrt.f32 (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))) #s(literal 2 binary32))))
60.0%
(*.f32 (*.f32 cosTheta cosTheta) (-.f32 (/.f32 (sqrt.f32 (PI.f32)) cosTheta) (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))
95.1%
(*.f32 cosTheta (-.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32))) (*.f32 (*.f32 cosTheta (PI.f32)) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))
95.5%
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))
95.3%
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) (-.f32 #s(literal 1 binary32) (pow.f32 (PI.f32) #s(literal -1/2 binary32))))))
92.2%
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) c)))))
92.5%
(*.f32 cosTheta (sqrt.f32 (PI.f32)))
97.5%
(log1p.f32 (expm1.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (exp.f32 (neg.f32 (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)))))
✓11.0%
#s(literal 1 binary32)
Compiler

Compiled 2771 to 1031 computations (62.8% saved)

regimes281.0ms (1.9%)

Counts
91 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) c)
(/.f32 #s(literal 1 binary32) c)
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 2 binary32) c) #s(literal -1 binary32)))
(*.f32 cosTheta (sqrt.f32 (PI.f32)))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))
(/.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 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) c)))))
(/.f32 #s(literal 1 binary32) (+.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 binary32) (+.f32 #s(literal 1 binary32) (*.f32 c (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) c) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 c (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 c cosTheta)) (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))) (*.f32 cosTheta c))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 c (/.f32 (+.f32 cosTheta (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c)) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 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 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (/.f32 c (pow.f32 (PI.f32) #s(literal -1/2 binary32)))))))))
(/.f32 #s(literal 1 binary32) (+.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 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta c)) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))))))
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) (-.f32 #s(literal 1 binary32) (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 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal -3/2 binary32)) (*.f32 cosTheta c))))))
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))
(*.f32 (*.f32 cosTheta cosTheta) (-.f32 (/.f32 (sqrt.f32 (PI.f32)) cosTheta) (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (/.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))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.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 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (+.f32 c (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))) cosTheta)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta))) 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 (-.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) (*.f32 cosTheta cosTheta))) cosTheta) (sqrt.f32 (-.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (*.f32 cosTheta #s(literal 2 binary32)) (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c)) cosTheta) (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 (-.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) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta))) 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 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (*.f32 (/.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) (*.f32 c (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) 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) (*.f32 c (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta))) (*.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) (*.f32 c (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 cosTheta (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) c))) (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 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c)) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))))))
(pow.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (sqrt.f32 cosTheta)) #s(literal 2 binary32))
(pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))) #s(literal 2 binary32))
(pow.f32 (*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/4 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) cosTheta))) #s(literal -2 binary32))
(*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (/.f32 (sqrt.f32 (PI.f32)) cosTheta) (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))
(*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))) (*.f32 (PI.f32) (-.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 (*.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))) cosTheta)))
(*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (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 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (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 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal -3/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.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 (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 (/.f32 (sqrt.f32 (+.f32 (+.f32 #s(literal 1 binary32) 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 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (*.f32 (PI.f32) (pow.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 (sqrt.f32 (/.f32 (/.f32 (+.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta) (pow.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (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 #s(literal 1 binary32) (*.f32 c (+.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 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (*.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 2 binary32)))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(pow.f32 (sqrt.f32 (fma.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 cosTheta c))) #s(literal 1 binary32))) #s(literal -2 binary32))
(pow.f32 (cbrt.f32 (*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 (PI.f32) cosTheta) (-.f32 #s(literal 1 binary32) (pow.f32 (PI.f32) #s(literal -1/2 binary32))))))) #s(literal 3 binary32))
(pow.f32 (sqrt.f32 (*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 (PI.f32) cosTheta) (-.f32 #s(literal 1 binary32) (pow.f32 (PI.f32) #s(literal -1/2 binary32))))))) #s(literal 2 binary32))
(*.f32 cosTheta (-.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32))) (*.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 #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)))
(pow.f32 (sqrt.f32 (/.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)) #s(literal -2 binary32))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal -3/2 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 #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 #s(literal 1 binary32) (*.f32 (pow.f32 (sqrt.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)) #s(literal 2 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))))
(pow.f32 (sqrt.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 #s(literal -2 binary32) cosTheta)) (PI.f32)))))))) #s(literal 2 binary32))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (pow.f32 (cbrt.f32 (/.f32 (sqrt.f32 (+.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 cosTheta (sqrt.f32 (PI.f32))))) #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 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 cosTheta (sqrt.f32 (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 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 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 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 (/.f32 (exp.f32 (neg.f32 (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 2 binary32))
(log1p.f32 (expm1.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (exp.f32 (neg.f32 (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 #s(literal 1 binary32) (fma.f32 c (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))) #s(literal 1 binary32)) #s(literal 1 binary32)))
(pow.f32 (sqrt.f32 (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))) #s(literal -2 binary32))
(log1p.f32 (expm1.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))) #s(literal 1 binary32)))))
(sqrt.f32 (pow.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c)) #s(literal -2 binary32)))
(pow.f32 (sqrt.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c))) #s(literal -2 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 (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)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.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 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c)))) #s(literal 3 binary32))
(pow.f32 (sqrt.f32 (/.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)))) #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 c (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) #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 c (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))))
(/.f32 (cbrt.f32 (pow.f32 (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)) #s(literal -2 binary32))) (cbrt.f32 (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))))
(/.f32 (cbrt.f32 (pow.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.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 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c))))
(*.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 (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)))) (/.f32 #s(literal 1 binary32) (cbrt.f32 (pow.f32 (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)) #s(literal 2 binary32)))))
(*.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 (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)))) (/.f32 #s(literal 1 binary32) (pow.f32 (cbrt.f32 (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))) #s(literal 2 binary32))))
(*.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c)))) (/.f32 #s(literal 1 binary32) (pow.f32 (cbrt.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c))) #s(literal 2 binary32))))
(*.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (cbrt.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.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 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) c)))))
(+.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)))))))
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:

87.0ms
(+.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))))
49.0ms
(/.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)))))
26.0ms
c
25.0ms
(+.f32 #s(literal 1 binary32) c)
25.0ms
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))
Results
AccuracySegmentsBranch
98.5%1cosTheta
98.5%1c
98.5%1(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
98.5%1(+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))
98.5%1(+.f32 #s(literal 1 binary32) c)
98.5%1(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))
Compiler

Compiled 84 to 58 computations (31% saved)

regimes156.0ms (1%)

Counts
65 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) c)
(/.f32 #s(literal 1 binary32) c)
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 2 binary32) c) #s(literal -1 binary32)))
(*.f32 cosTheta (sqrt.f32 (PI.f32)))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))
(/.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 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) c)))))
(/.f32 #s(literal 1 binary32) (+.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 binary32) (+.f32 #s(literal 1 binary32) (*.f32 c (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) c) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 c (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 c cosTheta)) (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))) (*.f32 cosTheta c))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 c (/.f32 (+.f32 cosTheta (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c)) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 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 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (/.f32 c (pow.f32 (PI.f32) #s(literal -1/2 binary32)))))))))
(/.f32 #s(literal 1 binary32) (+.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 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta c)) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))))))
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) (-.f32 #s(literal 1 binary32) (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 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal -3/2 binary32)) (*.f32 cosTheta c))))))
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))
(*.f32 (*.f32 cosTheta cosTheta) (-.f32 (/.f32 (sqrt.f32 (PI.f32)) cosTheta) (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (/.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))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.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 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (+.f32 c (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))) cosTheta)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta))) 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 (-.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) (*.f32 cosTheta cosTheta))) cosTheta) (sqrt.f32 (-.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (*.f32 cosTheta #s(literal 2 binary32)) (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c)) cosTheta) (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 (-.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) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta))) 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 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (*.f32 (/.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) (*.f32 c (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) 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) (*.f32 c (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta))) (*.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) (*.f32 c (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 cosTheta (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) c))) (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 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c)) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))))))
(pow.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (sqrt.f32 cosTheta)) #s(literal 2 binary32))
(pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))) #s(literal 2 binary32))
(pow.f32 (*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/4 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) cosTheta))) #s(literal -2 binary32))
(*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (/.f32 (sqrt.f32 (PI.f32)) cosTheta) (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))
(*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))) (*.f32 (PI.f32) (-.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 (*.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))) cosTheta)))
(*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (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 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (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 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal -3/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.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 (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 (/.f32 (sqrt.f32 (+.f32 (+.f32 #s(literal 1 binary32) 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 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (*.f32 (PI.f32) (pow.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 (sqrt.f32 (/.f32 (/.f32 (+.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta) (pow.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (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 #s(literal 1 binary32) (*.f32 c (+.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 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (*.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 2 binary32)))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(pow.f32 (sqrt.f32 (fma.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 cosTheta c))) #s(literal 1 binary32))) #s(literal -2 binary32))
(pow.f32 (cbrt.f32 (*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 (PI.f32) cosTheta) (-.f32 #s(literal 1 binary32) (pow.f32 (PI.f32) #s(literal -1/2 binary32))))))) #s(literal 3 binary32))
(pow.f32 (sqrt.f32 (*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 (PI.f32) cosTheta) (-.f32 #s(literal 1 binary32) (pow.f32 (PI.f32) #s(literal -1/2 binary32))))))) #s(literal 2 binary32))
(*.f32 cosTheta (-.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32))) (*.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 #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)))
(pow.f32 (sqrt.f32 (/.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)) #s(literal -2 binary32))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal -3/2 binary32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal -3/2 binary32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
Calls

6 calls:

60.0ms
c
19.0ms
(*.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)))
19.0ms
(+.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))))
18.0ms
(/.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)))))
17.0ms
cosTheta
Results
AccuracySegmentsBranch
98.0%1cosTheta
98.0%1c
98.0%1(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
98.0%1(+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))
98.0%1(+.f32 #s(literal 1 binary32) c)
98.0%1(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))
Compiler

Compiled 84 to 58 computations (31% saved)

regimes157.0ms (1%)

Counts
64 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) c)
(/.f32 #s(literal 1 binary32) c)
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 2 binary32) c) #s(literal -1 binary32)))
(*.f32 cosTheta (sqrt.f32 (PI.f32)))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))
(/.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 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) c)))))
(/.f32 #s(literal 1 binary32) (+.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 binary32) (+.f32 #s(literal 1 binary32) (*.f32 c (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) c) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 c (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 c cosTheta)) (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))) (*.f32 cosTheta c))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 c (/.f32 (+.f32 cosTheta (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c)) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 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 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (/.f32 c (pow.f32 (PI.f32) #s(literal -1/2 binary32)))))))))
(/.f32 #s(literal 1 binary32) (+.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 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta c)) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))))))
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) (-.f32 #s(literal 1 binary32) (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 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal -3/2 binary32)) (*.f32 cosTheta c))))))
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))
(*.f32 (*.f32 cosTheta cosTheta) (-.f32 (/.f32 (sqrt.f32 (PI.f32)) cosTheta) (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (/.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))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.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 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (+.f32 c (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))) cosTheta)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta))) 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 (-.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) (*.f32 cosTheta cosTheta))) cosTheta) (sqrt.f32 (-.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (*.f32 cosTheta #s(literal 2 binary32)) (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c)) cosTheta) (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 (-.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) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta))) 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 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (*.f32 (/.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) (*.f32 c (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) 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) (*.f32 c (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta))) (*.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) (*.f32 c (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 cosTheta (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) c))) (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 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c)) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))))))
(pow.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (sqrt.f32 cosTheta)) #s(literal 2 binary32))
(pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))) #s(literal 2 binary32))
(pow.f32 (*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/4 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) cosTheta))) #s(literal -2 binary32))
(*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (/.f32 (sqrt.f32 (PI.f32)) cosTheta) (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))
(*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))) (*.f32 (PI.f32) (-.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 (*.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))) cosTheta)))
(*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (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 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (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 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal -3/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.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 (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 (/.f32 (sqrt.f32 (+.f32 (+.f32 #s(literal 1 binary32) 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 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (*.f32 (PI.f32) (pow.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 (sqrt.f32 (/.f32 (/.f32 (+.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta) (pow.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (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 #s(literal 1 binary32) (*.f32 c (+.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 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (*.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 2 binary32)))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(pow.f32 (sqrt.f32 (fma.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 cosTheta c))) #s(literal 1 binary32))) #s(literal -2 binary32))
(pow.f32 (cbrt.f32 (*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 (PI.f32) cosTheta) (-.f32 #s(literal 1 binary32) (pow.f32 (PI.f32) #s(literal -1/2 binary32))))))) #s(literal 3 binary32))
(pow.f32 (sqrt.f32 (*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 (PI.f32) cosTheta) (-.f32 #s(literal 1 binary32) (pow.f32 (PI.f32) #s(literal -1/2 binary32))))))) #s(literal 2 binary32))
(*.f32 cosTheta (-.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32))) (*.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 #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)))
(pow.f32 (sqrt.f32 (/.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)) #s(literal -2 binary32))
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

6 calls:

61.0ms
c
20.0ms
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))
19.0ms
(/.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)))))
18.0ms
cosTheta
17.0ms
(+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))
Results
AccuracySegmentsBranch
98.0%1c
98.0%1(+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))
98.0%1(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))
98.0%1cosTheta
98.0%1(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
98.0%1(+.f32 #s(literal 1 binary32) c)
Compiler

Compiled 84 to 58 computations (31% saved)

regimes68.0ms (0.5%)

Counts
50 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) c)
(/.f32 #s(literal 1 binary32) c)
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 2 binary32) c) #s(literal -1 binary32)))
(*.f32 cosTheta (sqrt.f32 (PI.f32)))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))
(/.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 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) c)))))
(/.f32 #s(literal 1 binary32) (+.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 binary32) (+.f32 #s(literal 1 binary32) (*.f32 c (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) c) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 c (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 c cosTheta)) (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))) (*.f32 cosTheta c))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 c (/.f32 (+.f32 cosTheta (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c)) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 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 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (/.f32 c (pow.f32 (PI.f32) #s(literal -1/2 binary32)))))))))
(/.f32 #s(literal 1 binary32) (+.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 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta c)) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))))))
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) (-.f32 #s(literal 1 binary32) (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 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal -3/2 binary32)) (*.f32 cosTheta c))))))
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))
(*.f32 (*.f32 cosTheta cosTheta) (-.f32 (/.f32 (sqrt.f32 (PI.f32)) cosTheta) (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (/.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))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.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 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (+.f32 c (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))) cosTheta)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta))) 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 (-.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) (*.f32 cosTheta cosTheta))) cosTheta) (sqrt.f32 (-.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (*.f32 cosTheta #s(literal 2 binary32)) (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c)) cosTheta) (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 (-.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) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta))) 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 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (*.f32 (/.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) (*.f32 c (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) 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) (*.f32 c (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta))) (*.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) (*.f32 c (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 cosTheta (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) c))) (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 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c)) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))))))
(pow.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (sqrt.f32 cosTheta)) #s(literal 2 binary32))
(pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))) #s(literal 2 binary32))
(pow.f32 (*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/4 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) cosTheta))) #s(literal -2 binary32))
(*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (/.f32 (sqrt.f32 (PI.f32)) cosTheta) (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))
(*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))) (*.f32 (PI.f32) (-.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 (*.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))) cosTheta)))
(*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (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 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (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 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal -3/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))) cosTheta)))
Calls

4 calls:

24.0ms
c
14.0ms
(*.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)))
14.0ms
cosTheta
12.0ms
(+.f32 #s(literal 1 binary32) c)
Results
AccuracySegmentsBranch
97.6%1cosTheta
97.6%1c
97.6%1(+.f32 #s(literal 1 binary32) c)
97.6%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 32 to 23 computations (28.1% saved)

regimes39.0ms (0.3%)

Counts
44 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) c)
(/.f32 #s(literal 1 binary32) c)
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 2 binary32) c) #s(literal -1 binary32)))
(*.f32 cosTheta (sqrt.f32 (PI.f32)))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))
(/.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 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) c)))))
(/.f32 #s(literal 1 binary32) (+.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 binary32) (+.f32 #s(literal 1 binary32) (*.f32 c (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) c) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 c (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 c cosTheta)) (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))) (*.f32 cosTheta c))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 c (/.f32 (+.f32 cosTheta (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c)) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 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 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (/.f32 c (pow.f32 (PI.f32) #s(literal -1/2 binary32)))))))))
(/.f32 #s(literal 1 binary32) (+.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 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta c)) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))))))
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) (-.f32 #s(literal 1 binary32) (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 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal -3/2 binary32)) (*.f32 cosTheta c))))))
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))
(*.f32 (*.f32 cosTheta cosTheta) (-.f32 (/.f32 (sqrt.f32 (PI.f32)) cosTheta) (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (/.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))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.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 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (+.f32 c (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))) cosTheta)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta))) 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 (-.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) (*.f32 cosTheta cosTheta))) cosTheta) (sqrt.f32 (-.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (*.f32 cosTheta #s(literal 2 binary32)) (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c)) cosTheta) (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 (-.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) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta))) 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 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (*.f32 (/.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) (*.f32 c (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) 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) (*.f32 c (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta))) (*.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) (*.f32 c (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 cosTheta (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) c))) (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 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) c)) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))))))
(pow.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (sqrt.f32 cosTheta)) #s(literal 2 binary32))
(pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))) #s(literal 2 binary32))
(pow.f32 (*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/4 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) cosTheta))) #s(literal -2 binary32))
(*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (/.f32 (sqrt.f32 (PI.f32)) cosTheta) (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))
(*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))) (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))))
Calls

3 calls:

13.0ms
c
13.0ms
cosTheta
10.0ms
(+.f32 #s(literal 1 binary32) c)
Results
AccuracySegmentsBranch
97.5%1cosTheta
97.5%1(+.f32 #s(literal 1 binary32) c)
97.5%1c
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes28.0ms (0.2%)

Counts
28 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) c)
(/.f32 #s(literal 1 binary32) c)
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 2 binary32) c) #s(literal -1 binary32)))
(*.f32 cosTheta (sqrt.f32 (PI.f32)))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))
(/.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 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) c)))))
(/.f32 #s(literal 1 binary32) (+.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 binary32) (+.f32 #s(literal 1 binary32) (*.f32 c (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) c) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 c (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 c cosTheta)) (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))) (*.f32 cosTheta c))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 c (/.f32 (+.f32 cosTheta (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c)) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 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 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (/.f32 c (pow.f32 (PI.f32) #s(literal -1/2 binary32)))))))))
(/.f32 #s(literal 1 binary32) (+.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 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta c)) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))))))
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) (-.f32 #s(literal 1 binary32) (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 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal -3/2 binary32)) (*.f32 cosTheta c))))))
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))
(*.f32 (*.f32 cosTheta cosTheta) (-.f32 (/.f32 (sqrt.f32 (PI.f32)) cosTheta) (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (/.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))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.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 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (+.f32 c (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))) cosTheta)))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.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:

8.0ms
c
8.0ms
cosTheta
8.0ms
(+.f32 #s(literal 1 binary32) c)
Results
AccuracySegmentsBranch
96.5%1cosTheta
96.5%1c
96.5%1(+.f32 #s(literal 1 binary32) c)
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes23.0ms (0.2%)

Counts
26 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) c)
(/.f32 #s(literal 1 binary32) c)
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 2 binary32) c) #s(literal -1 binary32)))
(*.f32 cosTheta (sqrt.f32 (PI.f32)))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))
(/.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 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) c)))))
(/.f32 #s(literal 1 binary32) (+.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 binary32) (+.f32 #s(literal 1 binary32) (*.f32 c (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) c) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 c (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 c cosTheta)) (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))) (*.f32 cosTheta c))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 c (/.f32 (+.f32 cosTheta (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c)) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 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 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (/.f32 c (pow.f32 (PI.f32) #s(literal -1/2 binary32)))))))))
(/.f32 #s(literal 1 binary32) (+.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 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta c)) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))))))
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) (-.f32 #s(literal 1 binary32) (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 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal -3/2 binary32)) (*.f32 cosTheta c))))))
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))
(*.f32 (*.f32 cosTheta cosTheta) (-.f32 (/.f32 (sqrt.f32 (PI.f32)) cosTheta) (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (/.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))
Outputs
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))
Calls

3 calls:

8.0ms
c
8.0ms
cosTheta
6.0ms
(+.f32 #s(literal 1 binary32) c)
Results
AccuracySegmentsBranch
95.5%1cosTheta
95.5%1c
95.5%1(+.f32 #s(literal 1 binary32) c)
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes22.0ms (0.1%)

Counts
23 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) c)
(/.f32 #s(literal 1 binary32) c)
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 2 binary32) c) #s(literal -1 binary32)))
(*.f32 cosTheta (sqrt.f32 (PI.f32)))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))
(/.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 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) c)))))
(/.f32 #s(literal 1 binary32) (+.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 binary32) (+.f32 #s(literal 1 binary32) (*.f32 c (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) c) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 c (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 c cosTheta)) (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))) (*.f32 cosTheta c))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 c (/.f32 (+.f32 cosTheta (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c)) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 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 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (/.f32 c (pow.f32 (PI.f32) #s(literal -1/2 binary32)))))))))
(/.f32 #s(literal 1 binary32) (+.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 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta c)) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))))))
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) (-.f32 #s(literal 1 binary32) (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 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal -3/2 binary32)) (*.f32 cosTheta c))))))
Outputs
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) (-.f32 #s(literal 1 binary32) (pow.f32 (PI.f32) #s(literal -1/2 binary32))))))
Calls

3 calls:

7.0ms
c
7.0ms
cosTheta
6.0ms
(+.f32 #s(literal 1 binary32) c)
Results
AccuracySegmentsBranch
95.3%1cosTheta
95.3%1c
95.3%1(+.f32 #s(literal 1 binary32) c)
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes120.0ms (0.8%)

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

3 calls:

107.0ms
c
6.0ms
cosTheta
5.0ms
(+.f32 #s(literal 1 binary32) c)
Results
AccuracySegmentsBranch
94.8%1(+.f32 #s(literal 1 binary32) c)
94.8%1cosTheta
94.8%1c
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes35.0ms (0.2%)

Counts
16 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) c)
(/.f32 #s(literal 1 binary32) c)
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 2 binary32) c) #s(literal -1 binary32)))
(*.f32 cosTheta (sqrt.f32 (PI.f32)))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))
(/.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 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) c)))))
(/.f32 #s(literal 1 binary32) (+.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 binary32) (+.f32 #s(literal 1 binary32) (*.f32 c (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) c) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 c (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 c cosTheta)) (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))) (*.f32 cosTheta c))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 c (/.f32 (+.f32 cosTheta (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c)) cosTheta))))
Outputs
(*.f32 cosTheta (sqrt.f32 (PI.f32)))
Calls

3 calls:

25.0ms
cosTheta
5.0ms
c
4.0ms
(+.f32 #s(literal 1 binary32) c)
Results
AccuracySegmentsBranch
92.5%1cosTheta
92.5%1c
92.5%1(+.f32 #s(literal 1 binary32) c)
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes7.0ms (0%)

Counts
5 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) c)
(/.f32 #s(literal 1 binary32) c)
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 2 binary32) c) #s(literal -1 binary32)))
Outputs
(-.f32 #s(literal 1 binary32) c)
Calls

3 calls:

2.0ms
cosTheta
2.0ms
c
2.0ms
(+.f32 #s(literal 1 binary32) c)
Results
AccuracySegmentsBranch
11.0%1cosTheta
11.0%1c
11.0%1(+.f32 #s(literal 1 binary32) c)
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
Outputs
#s(literal 1 binary32)
Calls

2 calls:

1.0ms
cosTheta
1.0ms
c
Results
AccuracySegmentsBranch
11.0%1c
11.0%1cosTheta
Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify105.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
174×unsub-neg
96×neg-mul-1
78×+-commutative
66×*-commutative
58×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
093680
1155680
2203680
3236680
4281680
5331680
6350680
7419680
8505680
9508680
Stop Event
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 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal -3/2 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 #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 (*.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))) cosTheta)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta))) 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 (-.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 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) (-.f32 (+.f32 #s(literal 1 binary32) 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) (pow.f32 (PI.f32) #s(literal -1/2 binary32))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))))
(*.f32 cosTheta (sqrt.f32 (PI.f32)))
(-.f32 #s(literal 1 binary32) c)
#s(literal 1 binary32)
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 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal -3/2 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 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal -3/2 binary32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (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 (*.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))) cosTheta)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))) cosTheta)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta))) 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 cosTheta (neg.f32 cosTheta))) 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 (/.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 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) cosTheta))))
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))
(*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) (-.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 #s(literal 1 binary32) c)))))
(*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal -1 binary32) c)))))
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) (-.f32 #s(literal 1 binary32) (pow.f32 (PI.f32) #s(literal -1/2 binary32))))))
(*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) (-.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) #s(literal 1 binary32)))))
(*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 cosTheta (PI.f32)) (+.f32 #s(literal -1 binary32) (pow.f32 (PI.f32) #s(literal -1/2 binary32))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 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 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (/.f32 #s(literal 1 binary32) cosTheta))))
(*.f32 cosTheta (sqrt.f32 (PI.f32)))
(-.f32 #s(literal 1 binary32) c)
#s(literal 1 binary32)

soundness1.8s (12%)

Rules
1506×associate-*r*
1398×*-commutative
1240×div-sub
1130×distribute-lft-in
1118×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
042605
1788514
052687
1149596
2435592
31471560
44275560
55930560
67669560
0124645253
1309742842
0161844852
1448143774
060820
11217731
051833
1941793
0220170190
1617768470
062967
11206929
Stop Event
1×fuel
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 1542 to 542 computations (64.9% saved)

preprocess68.0ms (0.4%)

Compiler

Compiled 426 to 194 computations (54.5% saved)

end0.0ms (0%)

Profiling

Loading profile data...