Beckmann Sample, normalization factor

Time bar (total: 14.5s)

analyze38.0ms (0.3%)

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

Compiled 42 to 32 computations (23.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-div: 4.0ms (17.4% of total)
ival-add: 4.0ms (17.4% of total)
ival-mult: 3.0ms (13.1% of total)
ival-sqrt: 3.0ms (13.1% of total)
ival-exp: 2.0ms (8.7% of total)
ival-sub: 2.0ms (8.7% of total)
ival-<: 2.0ms (8.7% of total)
ival-pi: 1.0ms (4.4% of total)
ival-and: 1.0ms (4.4% of total)
const: 1.0ms (4.4% of total)
ival-neg: 1.0ms (4.4% of total)

sample2.4s (16.5%)

Results
1.8s8256×0valid
9.0ms59×0invalid
Precisions
Click to see histograms. Total time spent on operations: 1.3s
ival-sqrt: 268.0ms (20.1% of total)
ival-div: 241.0ms (18% of total)
ival-<: 198.0ms (14.8% of total)
ival-mult: 197.0ms (14.7% of total)
ival-add: 112.0ms (8.4% of total)
ival-sub: 94.0ms (7% of total)
ival-exp: 77.0ms (5.8% of total)
ival-neg: 44.0ms (3.3% of total)
ival-pi: 41.0ms (3.1% of total)
const: 34.0ms (2.5% of total)
ival-and: 26.0ms (1.9% of total)
backward-pass: 4.0ms (0.3% of total)
Bogosity

preprocess146.0ms (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) (fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta) (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (sqrt.f32 (PI.f32))) 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 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta) (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (sqrt.f32 (PI.f32))) 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 c (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal 2 binary32) #s(literal 1 binary32))) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) (sqrt.f32 (PI.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 (fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta) (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (sqrt.f32 (PI.f32))) #s(literal 1 binary32)) 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 #s(literal -1 binary32) (-.f32 (/.f32 (/.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal 2 binary32) #s(literal 1 binary32))) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta)) (sqrt.f32 (PI.f32))) 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 c (fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta) (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (sqrt.f32 (PI.f32))) #s(literal 1 binary32))))
(/.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 cosTheta (fma.f32 (/.f32 (sqrt.f32 (fma.f32 c #s(literal -2 binary32) #s(literal 1 binary32))) (sqrt.f32 (PI.f32))) (/.f32 (pow.f32 (exp.f32 (neg.f32 c)) c) c) #s(literal 1 binary32))))

explain342.0ms (2.4%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
10-0-(/.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-(neg.f32 cosTheta)
00-0-(exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))
00-0-(/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)
00-0-#s(literal 1 binary32)
00-0-(-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)
00-0-(-.f32 #s(literal 1 binary32) cosTheta)
00-0-(sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))
00-0-c
00-0-(+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))
00-0-(/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))
00-0-cosTheta
00-0-(+.f32 #s(literal 1 binary32) c)
00-0-(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))
00-0-(*.f32 (neg.f32 cosTheta) cosTheta)
00-0-(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta))
00-0-(PI.f32)
00-0-(sqrt.f32 (PI.f32))
Results
244.0ms512×256valid
Compiler

Compiled 285 to 161 computations (43.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 180.0ms
ival-sub: 45.0ms (25% of total)
ival-div: 42.0ms (23.3% of total)
ival-sqrt: 34.0ms (18.9% of total)
ival-mult: 28.0ms (15.5% of total)
ival-add: 15.0ms (8.3% of total)
ival-exp: 8.0ms (4.4% of total)
const: 5.0ms (2.8% of total)
ival-pi: 2.0ms (1.1% of total)
ival-neg: 2.0ms (1.1% of total)

eval1.0ms (0%)

Compiler

Compiled 23 to 18 computations (21.7% saved)

prune5.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶97.6%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
▶97.6%
(/.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))) cosTheta) (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (sqrt.f32 (PI.f32))) c)))
Compiler

Compiled 50 to 39 computations (22% saved)

localize281.0ms (1.9%)

Localize:

Found 8 expressions with local error:

NewAccuracyProgram
✓99.6%
(-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)
✓99.0%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
✓98.2%
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta))
✓96.9%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))
✓99.8%
(sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)))
✓99.0%
(/.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))) cosTheta) (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (sqrt.f32 (PI.f32))) c)))
✓98.2%
(fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta) (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (sqrt.f32 (PI.f32))) c)
✓97.2%
(/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (sqrt.f32 (PI.f32)))
Results
205.0ms256×256valid
Compiler

Compiled 226 to 111 computations (50.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 191.0ms
ival-mult: 34.0ms (17.8% of total)
ival-div: 32.0ms (16.8% of total)
composed: 32.0ms (16.8% of total)
ival-sqrt: 27.0ms (14.1% of total)
ival-add: 20.0ms (10.5% of total)
ival-pow: 17.0ms (8.9% of total)
ival-sub: 16.0ms (8.4% of total)
ival-exp: 7.0ms (3.7% of total)
const: 4.0ms (2.1% of total)
ival-pi: 1.0ms (0.5% of total)
ival-neg: 1.0ms (0.5% of total)

series71.0ms (0.5%)

Counts
8 → 120
Calls
Call 1
Inputs
#<alt (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (sqrt.f32 (PI.f32)))>
#<alt (fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta) (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (sqrt.f32 (PI.f32))) c)>
#<alt (/.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))) cosTheta) (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (sqrt.f32 (PI.f32))) c)))>
#<alt (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)))>
#<alt (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))>
#<alt (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta))>
#<alt (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))>
#<alt (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)>
Outputs
#<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 (pow.f32 cosTheta #s(literal 2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))>
#<alt (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 #s(literal 1/2 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))>
#<alt (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.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 -1/6 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 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)))))))))>
#<alt (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))>
#<alt (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))>
#<alt (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))>
#<alt (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))>
#<alt (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))>
#<alt (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))>
#<alt (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))>
#<alt (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))>
#<alt (*.f32 (/.f32 #s(literal 1 binary32) 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 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)))))))>
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#<alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))))))))>
#<alt (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))))))) #s(literal 2 binary32)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))))))))>
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#<alt (/.f32 #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 #s(literal 1 binary32)>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) cosTheta))>
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#<alt (*.f32 (sqrt.f32 cosTheta) (sqrt.f32 #s(literal -2 binary32)))>
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#<alt (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 5 binary32)))) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32))))) (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -2 binary32))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 #s(literal -2 binary32))))))>
#<alt (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 5 binary32)))) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32))))) (+.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 7 binary32)))) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32))))) (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -2 binary32))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 #s(literal -2 binary32)))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 cosTheta) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 3 binary32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) cosTheta)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 5 binary32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32))))) (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 3 binary32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) cosTheta)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))))))>
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#<alt (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))>
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#<alt (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32)))>
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#<alt (+.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32))))) (+.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 7 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32))))) (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -2 binary32))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))))>
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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))))))))>
#<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)>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))) (/.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32)) c))>
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#<alt (*.f32 cosTheta (sqrt.f32 (PI.f32)))>
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#<alt (*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) #s(literal 2 binary32)))) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))))>
#<alt (*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (-.f32 (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) #s(literal 2 binary32)))) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))) (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))) (*.f32 (PI.f32) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))) (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) #s(literal 2 binary32)))) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))))>
#<alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))))>
#<alt (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))) #s(literal 2 binary32)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32))))))))>
#<alt (-.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1/4 binary32) (/.f32 (*.f32 cosTheta (pow.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32))) (*.f32 (PI.f32) (*.f32 (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))) #s(literal 3 binary32)))))) (*.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32))) (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))) #s(literal 2 binary32))))))) (pow.f32 cosTheta #s(literal 4 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))))) (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))) #s(literal 2 binary32)))))))>
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#<alt (/.f32 #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 #s(literal 2 binary32)) #s(literal 4 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)))))) (*.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 (sqrt.f32 #s(literal -1 binary32)) (+.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 (sqrt.f32 (/.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32))) (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (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))))))))) (*.f32 (sqrt.f32 #s(literal 2 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)))))))))))))) (pow.f32 cosTheta #s(literal 6 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.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 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 1/8 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 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 (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))))))))))>
#<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))))>
Calls

30 calls:

TimeVariablePointExpression
11.0ms
cosTheta
@inf
(+ (* (/ (sqrt (+ (* cosTheta -2) 1)) cosTheta) (/ (pow (exp cosTheta) (neg cosTheta)) (sqrt (PI)))) c)
8.0ms
c
@0
(+ (* (/ (sqrt (+ (* cosTheta -2) 1)) cosTheta) (/ (pow (exp cosTheta) (neg cosTheta)) (sqrt (PI)))) c)
7.0ms
cosTheta
@-inf
(/ 1 (+ 1 (+ (* (/ (sqrt (+ (* cosTheta -2) 1)) cosTheta) (/ (pow (exp cosTheta) (neg cosTheta)) (sqrt (PI)))) c)))
5.0ms
cosTheta
@inf
(/ 1 (+ 1 (+ (* (/ (sqrt (+ (* cosTheta -2) 1)) cosTheta) (/ (pow (exp cosTheta) (neg cosTheta)) (sqrt (PI)))) c)))
3.0ms
cosTheta
@-inf
(+ (* (/ (sqrt (+ (* cosTheta -2) 1)) cosTheta) (/ (pow (exp cosTheta) (neg cosTheta)) (sqrt (PI)))) c)

rewrite280.0ms (1.9%)

Algorithm
1×batch-egg-rewrite
Rules
432×associate-*r*
272×log1p-expm1-u
272×expm1-log1p-u
268×add-exp-log
267×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
035364
1629319
Stop Event
1×node limit
Counts
8 → 278
Calls
Call 1
Inputs
(/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (sqrt.f32 (PI.f32)))
(fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta) (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (sqrt.f32 (PI.f32))) 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))) cosTheta) (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (sqrt.f32 (PI.f32))) c)))
(sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)
Outputs
(-.f32 (exp.f32 (log1p.f32 (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))))) #s(literal 1 binary32))
(*.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (pow.f32 (PI.f32) #s(literal -1/2 binary32)))
(*.f32 #s(literal 1 binary32) (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))))
(*.f32 (cbrt.f32 (/.f32 (pow.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) #s(literal 2 binary32)) (PI.f32))) (cbrt.f32 (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32)))))
(*.f32 (pow.f32 (sqrt.f32 (PI.f32)) #s(literal -1/2 binary32)) (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (pow.f32 (PI.f32) #s(literal 1/4 binary32))))
(*.f32 (sqrt.f32 (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32)))))
(*.f32 (neg.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (PI.f32)))))
(*.f32 (*.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) #s(literal 1 binary32)) (pow.f32 (PI.f32) #s(literal -1/2 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 (PI.f32))) (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (cbrt.f32 (sqrt.f32 (PI.f32)))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)) #s(literal 1 binary32)) (/.f32 (cbrt.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (PI.f32))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)) (cbrt.f32 (PI.f32))) (cbrt.f32 (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32)))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 1/4 binary32))) (/.f32 (cbrt.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (pow.f32 (PI.f32) #s(literal 1/4 binary32))))
(*.f32 (/.f32 (sqrt.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (PI.f32))))
(*.f32 (/.f32 (sqrt.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (cbrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (cbrt.f32 (sqrt.f32 (PI.f32)))))
(*.f32 (*.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (cbrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (cbrt.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32))))
(*.f32 (*.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (pow.f32 (sqrt.f32 (PI.f32)) #s(literal -1/2 binary32))) (pow.f32 (sqrt.f32 (PI.f32)) #s(literal -1/2 binary32)))
(/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32)))
(/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (sqrt.f32 (PI.f32)) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 1 binary32)))
(/.f32 #s(literal -1 binary32) (*.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (neg.f32 (sqrt.f32 (PI.f32)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 (sqrt.f32 (PI.f32)) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))
(/.f32 (neg.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (neg.f32 (sqrt.f32 (PI.f32))))
(/.f32 (neg.f32 (neg.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))) (neg.f32 (neg.f32 (sqrt.f32 (PI.f32)))))
(pow.f32 (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32)))) #s(literal 2 binary32))
(pow.f32 (*.f32 (sqrt.f32 (PI.f32)) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal -1 binary32))
(neg.f32 (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (neg.f32 (sqrt.f32 (PI.f32)))))
(neg.f32 (/.f32 (neg.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (PI.f32))))
(sqrt.f32 (/.f32 (pow.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) #s(literal 2 binary32)) (PI.f32)))
(log.f32 (exp.f32 (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))))))
(cbrt.f32 (pow.f32 (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) #s(literal 3 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) #s(literal 3 binary32))))
(cbrt.f32 (/.f32 (pow.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3/2 binary32))))
(expm1.f32 (log1p.f32 (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32)))))
(log1p.f32 (expm1.f32 (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32)))))
(exp.f32 (-.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (log.f32 (sqrt.f32 (PI.f32)))))
(exp.f32 (*.f32 (-.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (log.f32 (sqrt.f32 (PI.f32)))) #s(literal 1 binary32)))
(+.f32 (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (*.f32 (/.f32 cosTheta (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)))) (sqrt.f32 (PI.f32)))) c)
(+.f32 (*.f32 (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (*.f32 (/.f32 cosTheta (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)))) (sqrt.f32 (PI.f32)))) #s(literal 1 binary32)) (*.f32 c #s(literal 1 binary32)))
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(log.f32 (exp.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (+.f32 #s(literal 1 binary32) c)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (+.f32 #s(literal 1 binary32) c))))))
(cbrt.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (+.f32 #s(literal 1 binary32) c))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (+.f32 #s(literal 1 binary32) c)))))
(log1p.f32 (expm1.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (+.f32 #s(literal 1 binary32) c)))))
(exp.f32 (neg.f32 (log1p.f32 (+.f32 c (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)))))))
(exp.f32 (*.f32 (log1p.f32 (+.f32 c (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))))) #s(literal -1 binary32)))
(exp.f32 (*.f32 (neg.f32 (log1p.f32 (+.f32 c (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)))))) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))
(+.f32 #s(literal 1 binary32) (neg.f32 (*.f32 cosTheta #s(literal 2 binary32))))
(+.f32 #s(literal 1 binary32) (-.f32 cosTheta cosTheta))
(+.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta)
(+.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (fma.f32 (neg.f32 (sqrt.f32 cosTheta)) (sqrt.f32 cosTheta) cosTheta))
(+.f32 (fma.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) cosTheta) (neg.f32 (*.f32 cosTheta #s(literal 1 binary32)))) (fma.f32 cosTheta #s(literal 1 binary32) (*.f32 cosTheta #s(literal 1 binary32))))
(+.f32 (fma.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) cosTheta) (neg.f32 (*.f32 (cbrt.f32 cosTheta) (pow.f32 (cbrt.f32 cosTheta) #s(literal 2 binary32))))) (fma.f32 (neg.f32 (cbrt.f32 cosTheta)) (pow.f32 (cbrt.f32 cosTheta) #s(literal 2 binary32)) (*.f32 (cbrt.f32 cosTheta) (pow.f32 (cbrt.f32 cosTheta) #s(literal 2 binary32)))))
(+.f32 (fma.f32 (pow.f32 (cbrt.f32 (+.f32 #s(literal 1 binary32) cosTheta)) #s(literal 2 binary32)) (cbrt.f32 (+.f32 #s(literal 1 binary32) cosTheta)) (neg.f32 (*.f32 cosTheta #s(literal 1 binary32)))) (fma.f32 cosTheta #s(literal 1 binary32) (*.f32 cosTheta #s(literal 1 binary32))))
(+.f32 (fma.f32 (pow.f32 (cbrt.f32 (+.f32 #s(literal 1 binary32) cosTheta)) #s(literal 2 binary32)) (cbrt.f32 (+.f32 #s(literal 1 binary32) cosTheta)) (neg.f32 (*.f32 (cbrt.f32 cosTheta) (pow.f32 (cbrt.f32 cosTheta) #s(literal 2 binary32))))) (fma.f32 (neg.f32 (cbrt.f32 cosTheta)) (pow.f32 (cbrt.f32 cosTheta) #s(literal 2 binary32)) (*.f32 (cbrt.f32 cosTheta) (pow.f32 (cbrt.f32 cosTheta) #s(literal 2 binary32)))))
(+.f32 (fma.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 (+.f32 #s(literal 1 binary32) cosTheta)) (neg.f32 (*.f32 cosTheta #s(literal 1 binary32)))) (fma.f32 cosTheta #s(literal 1 binary32) (*.f32 cosTheta #s(literal 1 binary32))))
(+.f32 (fma.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 (+.f32 #s(literal 1 binary32) cosTheta)) (neg.f32 (*.f32 (cbrt.f32 cosTheta) (pow.f32 (cbrt.f32 cosTheta) #s(literal 2 binary32))))) (fma.f32 (neg.f32 (cbrt.f32 cosTheta)) (pow.f32 (cbrt.f32 cosTheta) #s(literal 2 binary32)) (*.f32 (cbrt.f32 cosTheta) (pow.f32 (cbrt.f32 cosTheta) #s(literal 2 binary32)))))
(+.f32 (*.f32 (+.f32 #s(literal 1 binary32) cosTheta) #s(literal 1 binary32)) (*.f32 cosTheta #s(literal 1 binary32)))
(-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))
(-.f32 #s(literal 1 binary32) (-.f32 cosTheta cosTheta))
(-.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta)
(-.f32 (exp.f32 (log1p.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))) #s(literal 1 binary32))
(-.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) cosTheta) #s(literal 3 binary32)) (+.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) #s(literal 2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (/.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (+.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) #s(literal 2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta))))
(-.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) cosTheta) #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))))
(-.f32 (+.f32 (+.f32 #s(literal 1 binary32) cosTheta) #s(literal 0 binary32)) cosTheta)
(*.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))
(*.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))))
(*.f32 (pow.f32 (cbrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)) (cbrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))))
(*.f32 (+.f32 (pow.f32 (+.f32 #s(literal 1 binary32) cosTheta) #s(literal 3 binary32)) (pow.f32 cosTheta #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) #s(literal 2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta))))
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))))
(*.f32 (*.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) #s(literal 1/4 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) #s(literal 1/4 binary32)))
(*.f32 (*.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) #s(literal 1 binary32)) (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))))
(*.f32 (+.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 cosTheta)) (-.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 cosTheta)))
(*.f32 (*.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) (cbrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))) (cbrt.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) #s(literal 2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (+.f32 (pow.f32 (+.f32 #s(literal 1 binary32) cosTheta) #s(literal 3 binary32)) (pow.f32 cosTheta #s(literal 3 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) #s(literal 2 binary32))))
(/.f32 (+.f32 (pow.f32 (+.f32 #s(literal 1 binary32) cosTheta) #s(literal 3 binary32)) (pow.f32 cosTheta #s(literal 3 binary32))) (+.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) #s(literal 2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta)))
(/.f32 (+.f32 (pow.f32 (+.f32 #s(literal 1 binary32) cosTheta) #s(literal 3 binary32)) (pow.f32 cosTheta #s(literal 3 binary32))) (+.f32 (pow.f32 (+.f32 #s(literal 1 binary32) cosTheta) #s(literal 2 binary32)) (-.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta))))
(/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))
(/.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) (*.f32 cosTheta #s(literal 2 binary32))) #s(literal 2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta))))
(/.f32 (neg.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) #s(literal 2 binary32))) (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 cosTheta #s(literal 2 binary32)) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 (*.f32 cosTheta #s(literal 2 binary32)) (*.f32 cosTheta #s(literal 2 binary32))) (*.f32 cosTheta #s(literal 2 binary32)))))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta #s(literal 2 binary32)) (*.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))
(pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) #s(literal 1 binary32))
(pow.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32))
(pow.f32 (cbrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) #s(literal 2 binary32)) #s(literal 1/2 binary32))
(sqrt.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) #s(literal 2 binary32)))
(log.f32 (exp.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))))
(cbrt.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))))
(log1p.f32 (expm1.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))))
(exp.f32 (log.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))))
(exp.f32 (*.f32 (log.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) cosTheta) cosTheta)
(fma.f32 (pow.f32 (cbrt.f32 (+.f32 #s(literal 1 binary32) cosTheta)) #s(literal 2 binary32)) (cbrt.f32 (+.f32 #s(literal 1 binary32) cosTheta)) cosTheta)
(fma.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 (+.f32 #s(literal 1 binary32) cosTheta)) cosTheta)

simplify179.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
1432×associate-*r*
1110×fma-define
930×times-frac
628×*-commutative
550×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0112432933
1301731180
Stop Event
1×node limit
Counts
398 → 486
Calls
Call 1
Inputs
(sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))
(+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))
(+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 #s(literal 1/2 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))
(+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.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 -1/6 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 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 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))
(*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (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)))))))
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c
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#s(literal 1 binary32)
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(exp.f32 (*.f32 (log.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (+.f32 #s(literal 1 binary32) c))))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (+.f32 #s(literal 1 binary32) c))))
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (+.f32 #s(literal 1 binary32) c)))))
(*.f32 (cbrt.f32 (pow.f32 (fma.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (+.f32 #s(literal 1 binary32) c)) #s(literal -2 binary32))) (cbrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (+.f32 #s(literal 1 binary32) c)))))
(*.f32 (pow.f32 (fma.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (+.f32 #s(literal 1 binary32) c)) #s(literal -1/2 binary32)) (pow.f32 (fma.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (+.f32 #s(literal 1 binary32) c)) #s(literal -1/2 binary32)))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (fma.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (+.f32 #s(literal 1 binary32) c))) #s(literal 2 binary32)) #s(literal -1 binary32)) (pow.f32 (cbrt.f32 (fma.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (+.f32 #s(literal 1 binary32) c))) #s(literal -1 binary32)))
(*.f32 (pow.f32 (sqrt.f32 (fma.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (+.f32 #s(literal 1 binary32) c))) #s(literal -1 binary32)) (pow.f32 (sqrt.f32 (fma.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (+.f32 #s(literal 1 binary32) c))) #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (+.f32 #s(literal 1 binary32) c)))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (fma.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (+.f32 #s(literal 1 binary32) c)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (fma.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (+.f32 #s(literal 1 binary32) c))))
(pow.f32 (fma.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (+.f32 #s(literal 1 binary32) c)) #s(literal -1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (+.f32 #s(literal 1 binary32) c))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (+.f32 #s(literal 1 binary32) c)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (+.f32 #s(literal 1 binary32) c))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (pow.f32 (fma.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (+.f32 #s(literal 1 binary32) c)) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(neg.f32 (/.f32 #s(literal -1 binary32) (fma.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (+.f32 #s(literal 1 binary32) c))))
(sqrt.f32 (pow.f32 (fma.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (+.f32 #s(literal 1 binary32) c)) #s(literal -2 binary32)))
(log.f32 (exp.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (+.f32 #s(literal 1 binary32) c)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (+.f32 #s(literal 1 binary32) c))))))
(cbrt.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (+.f32 #s(literal 1 binary32) c))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (+.f32 #s(literal 1 binary32) c)))))
(log1p.f32 (expm1.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (+.f32 #s(literal 1 binary32) c)))))
(exp.f32 (neg.f32 (log1p.f32 (+.f32 c (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)))))))
(exp.f32 (*.f32 (log1p.f32 (+.f32 c (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))))) #s(literal -1 binary32)))
(exp.f32 (*.f32 (neg.f32 (log1p.f32 (+.f32 c (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)))))) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))
(+.f32 #s(literal 1 binary32) (neg.f32 (*.f32 cosTheta #s(literal 2 binary32))))
(+.f32 #s(literal 1 binary32) (-.f32 cosTheta cosTheta))
(+.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta)
(+.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (fma.f32 (neg.f32 (sqrt.f32 cosTheta)) (sqrt.f32 cosTheta) cosTheta))
(+.f32 (fma.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) cosTheta) (neg.f32 (*.f32 cosTheta #s(literal 1 binary32)))) (fma.f32 cosTheta #s(literal 1 binary32) (*.f32 cosTheta #s(literal 1 binary32))))
(+.f32 (fma.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) cosTheta) (neg.f32 (*.f32 (cbrt.f32 cosTheta) (pow.f32 (cbrt.f32 cosTheta) #s(literal 2 binary32))))) (fma.f32 (neg.f32 (cbrt.f32 cosTheta)) (pow.f32 (cbrt.f32 cosTheta) #s(literal 2 binary32)) (*.f32 (cbrt.f32 cosTheta) (pow.f32 (cbrt.f32 cosTheta) #s(literal 2 binary32)))))
(+.f32 (fma.f32 (pow.f32 (cbrt.f32 (+.f32 #s(literal 1 binary32) cosTheta)) #s(literal 2 binary32)) (cbrt.f32 (+.f32 #s(literal 1 binary32) cosTheta)) (neg.f32 (*.f32 cosTheta #s(literal 1 binary32)))) (fma.f32 cosTheta #s(literal 1 binary32) (*.f32 cosTheta #s(literal 1 binary32))))
(+.f32 (fma.f32 (pow.f32 (cbrt.f32 (+.f32 #s(literal 1 binary32) cosTheta)) #s(literal 2 binary32)) (cbrt.f32 (+.f32 #s(literal 1 binary32) cosTheta)) (neg.f32 (*.f32 (cbrt.f32 cosTheta) (pow.f32 (cbrt.f32 cosTheta) #s(literal 2 binary32))))) (fma.f32 (neg.f32 (cbrt.f32 cosTheta)) (pow.f32 (cbrt.f32 cosTheta) #s(literal 2 binary32)) (*.f32 (cbrt.f32 cosTheta) (pow.f32 (cbrt.f32 cosTheta) #s(literal 2 binary32)))))
(+.f32 (fma.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 (+.f32 #s(literal 1 binary32) cosTheta)) (neg.f32 (*.f32 cosTheta #s(literal 1 binary32)))) (fma.f32 cosTheta #s(literal 1 binary32) (*.f32 cosTheta #s(literal 1 binary32))))
(+.f32 (fma.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 (+.f32 #s(literal 1 binary32) cosTheta)) (neg.f32 (*.f32 (cbrt.f32 cosTheta) (pow.f32 (cbrt.f32 cosTheta) #s(literal 2 binary32))))) (fma.f32 (neg.f32 (cbrt.f32 cosTheta)) (pow.f32 (cbrt.f32 cosTheta) #s(literal 2 binary32)) (*.f32 (cbrt.f32 cosTheta) (pow.f32 (cbrt.f32 cosTheta) #s(literal 2 binary32)))))
(+.f32 (*.f32 (+.f32 #s(literal 1 binary32) cosTheta) #s(literal 1 binary32)) (*.f32 cosTheta #s(literal 1 binary32)))
(-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))
(-.f32 #s(literal 1 binary32) (-.f32 cosTheta cosTheta))
(-.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta)
(-.f32 (exp.f32 (log1p.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))) #s(literal 1 binary32))
(-.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) cosTheta) #s(literal 3 binary32)) (+.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) #s(literal 2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (/.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (+.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) #s(literal 2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta))))
(-.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) cosTheta) #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))))
(-.f32 (+.f32 (+.f32 #s(literal 1 binary32) cosTheta) #s(literal 0 binary32)) cosTheta)
(*.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))
(*.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))))
(*.f32 (pow.f32 (cbrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)) (cbrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))))
(*.f32 (+.f32 (pow.f32 (+.f32 #s(literal 1 binary32) cosTheta) #s(literal 3 binary32)) (pow.f32 cosTheta #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) #s(literal 2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta))))
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))))
(*.f32 (*.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) #s(literal 1/4 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) #s(literal 1/4 binary32)))
(*.f32 (*.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) #s(literal 1 binary32)) (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))))
(*.f32 (+.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 cosTheta)) (-.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 cosTheta)))
(*.f32 (*.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) (cbrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))) (cbrt.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) #s(literal 2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (+.f32 (pow.f32 (+.f32 #s(literal 1 binary32) cosTheta) #s(literal 3 binary32)) (pow.f32 cosTheta #s(literal 3 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) #s(literal 2 binary32))))
(/.f32 (+.f32 (pow.f32 (+.f32 #s(literal 1 binary32) cosTheta) #s(literal 3 binary32)) (pow.f32 cosTheta #s(literal 3 binary32))) (+.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) #s(literal 2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta)))
(/.f32 (+.f32 (pow.f32 (+.f32 #s(literal 1 binary32) cosTheta) #s(literal 3 binary32)) (pow.f32 cosTheta #s(literal 3 binary32))) (+.f32 (pow.f32 (+.f32 #s(literal 1 binary32) cosTheta) #s(literal 2 binary32)) (-.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta))))
(/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))
(/.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) (*.f32 cosTheta #s(literal 2 binary32))) #s(literal 2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta))))
(/.f32 (neg.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) #s(literal 2 binary32))) (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 cosTheta #s(literal 2 binary32)) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 (*.f32 cosTheta #s(literal 2 binary32)) (*.f32 cosTheta #s(literal 2 binary32))) (*.f32 cosTheta #s(literal 2 binary32)))))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta #s(literal 2 binary32)) (*.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))
(pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) #s(literal 1 binary32))
(pow.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32))
(pow.f32 (cbrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) #s(literal 2 binary32)) #s(literal 1/2 binary32))
(sqrt.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) #s(literal 2 binary32)))
(log.f32 (exp.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))))
(cbrt.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))))
(log1p.f32 (expm1.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))))
(exp.f32 (log.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))))
(exp.f32 (*.f32 (log.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) cosTheta) cosTheta)
(fma.f32 (pow.f32 (cbrt.f32 (+.f32 #s(literal 1 binary32) cosTheta)) #s(literal 2 binary32)) (cbrt.f32 (+.f32 #s(literal 1 binary32) cosTheta)) cosTheta)
(fma.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 (+.f32 #s(literal 1 binary32) cosTheta)) cosTheta)
Outputs
(sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))
(+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))
(*.f32 (+.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))
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(fma.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 #s(literal -1 binary32) (*.f32 #s(literal 1/2 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))
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#s(literal 1 binary32)
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(exp.f32 (*.f32 (neg.f32 (log1p.f32 (+.f32 c (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)))))) #s(literal 1 binary32)))
(exp.f32 (neg.f32 (log1p.f32 (+.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 cosTheta (sqrt.f32 (PI.f32)))))))))
(+.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) (neg.f32 (*.f32 cosTheta #s(literal 2 binary32))))
(fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (-.f32 cosTheta cosTheta))
#s(literal 1 binary32)
(+.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta)
(fma.f32 cosTheta #s(literal 2 binary32) #s(literal 1 binary32))
(+.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (fma.f32 (neg.f32 (sqrt.f32 cosTheta)) (sqrt.f32 cosTheta) cosTheta))
(+.f32 (fma.f32 cosTheta #s(literal 2 binary32) #s(literal 1 binary32)) (fma.f32 (neg.f32 (sqrt.f32 cosTheta)) (sqrt.f32 cosTheta) cosTheta))
(+.f32 (fma.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) cosTheta) (neg.f32 (*.f32 cosTheta #s(literal 1 binary32)))) (fma.f32 cosTheta #s(literal 1 binary32) (*.f32 cosTheta #s(literal 1 binary32))))
(fma.f32 cosTheta #s(literal 2 binary32) #s(literal 1 binary32))
(+.f32 (fma.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) cosTheta) (neg.f32 (*.f32 (cbrt.f32 cosTheta) (pow.f32 (cbrt.f32 cosTheta) #s(literal 2 binary32))))) (fma.f32 (neg.f32 (cbrt.f32 cosTheta)) (pow.f32 (cbrt.f32 cosTheta) #s(literal 2 binary32)) (*.f32 (cbrt.f32 cosTheta) (pow.f32 (cbrt.f32 cosTheta) #s(literal 2 binary32)))))
#s(literal 1 binary32)
(+.f32 (fma.f32 (pow.f32 (cbrt.f32 (+.f32 #s(literal 1 binary32) cosTheta)) #s(literal 2 binary32)) (cbrt.f32 (+.f32 #s(literal 1 binary32) cosTheta)) (neg.f32 (*.f32 cosTheta #s(literal 1 binary32)))) (fma.f32 cosTheta #s(literal 1 binary32) (*.f32 cosTheta #s(literal 1 binary32))))
(fma.f32 cosTheta #s(literal 2 binary32) #s(literal 1 binary32))
(+.f32 (fma.f32 (pow.f32 (cbrt.f32 (+.f32 #s(literal 1 binary32) cosTheta)) #s(literal 2 binary32)) (cbrt.f32 (+.f32 #s(literal 1 binary32) cosTheta)) (neg.f32 (*.f32 (cbrt.f32 cosTheta) (pow.f32 (cbrt.f32 cosTheta) #s(literal 2 binary32))))) (fma.f32 (neg.f32 (cbrt.f32 cosTheta)) (pow.f32 (cbrt.f32 cosTheta) #s(literal 2 binary32)) (*.f32 (cbrt.f32 cosTheta) (pow.f32 (cbrt.f32 cosTheta) #s(literal 2 binary32)))))
#s(literal 1 binary32)
(+.f32 (fma.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 (+.f32 #s(literal 1 binary32) cosTheta)) (neg.f32 (*.f32 cosTheta #s(literal 1 binary32)))) (fma.f32 cosTheta #s(literal 1 binary32) (*.f32 cosTheta #s(literal 1 binary32))))
(fma.f32 cosTheta #s(literal 2 binary32) #s(literal 1 binary32))
(+.f32 (fma.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 (+.f32 #s(literal 1 binary32) cosTheta)) (neg.f32 (*.f32 (cbrt.f32 cosTheta) (pow.f32 (cbrt.f32 cosTheta) #s(literal 2 binary32))))) (fma.f32 (neg.f32 (cbrt.f32 cosTheta)) (pow.f32 (cbrt.f32 cosTheta) #s(literal 2 binary32)) (*.f32 (cbrt.f32 cosTheta) (pow.f32 (cbrt.f32 cosTheta) #s(literal 2 binary32)))))
#s(literal 1 binary32)
(+.f32 (*.f32 (+.f32 #s(literal 1 binary32) cosTheta) #s(literal 1 binary32)) (*.f32 cosTheta #s(literal 1 binary32)))
(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 #s(literal 1 binary32) (-.f32 cosTheta cosTheta))
#s(literal 1 binary32)
(-.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta)
#s(literal 1 binary32)
(-.f32 (exp.f32 (log1p.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))) #s(literal 1 binary32))
(expm1.f32 (log1p.f32 (fma.f32 cosTheta #s(literal 2 binary32) #s(literal 1 binary32))))
(-.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) cosTheta) #s(literal 3 binary32)) (+.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) #s(literal 2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (/.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (+.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) #s(literal 2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta))))
(-.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) cosTheta) #s(literal 3 binary32)) (fma.f32 cosTheta (+.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (fma.f32 cosTheta #s(literal 2 binary32) #s(literal 1 binary32)) #s(literal 2 binary32)))) (/.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (fma.f32 cosTheta (+.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (fma.f32 cosTheta #s(literal 2 binary32) #s(literal 1 binary32)) #s(literal 2 binary32)))))
(-.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) cosTheta) #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))))
(-.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) cosTheta) #s(literal 2 binary32)) (fma.f32 cosTheta #s(literal 2 binary32) #s(literal 1 binary32))) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (fma.f32 cosTheta #s(literal 2 binary32) #s(literal 1 binary32))))
(-.f32 (+.f32 (+.f32 #s(literal 1 binary32) cosTheta) #s(literal 0 binary32)) cosTheta)
#s(literal 1 binary32)
(*.f32 #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 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))))
(fma.f32 cosTheta #s(literal 2 binary32) #s(literal 1 binary32))
(*.f32 (pow.f32 (cbrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)) (cbrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))))
(fma.f32 cosTheta #s(literal 2 binary32) #s(literal 1 binary32))
(*.f32 (+.f32 (pow.f32 (+.f32 #s(literal 1 binary32) cosTheta) #s(literal 3 binary32)) (pow.f32 cosTheta #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) #s(literal 2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta))))
(/.f32 (+.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) cosTheta) #s(literal 3 binary32))) (fma.f32 cosTheta (+.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (fma.f32 cosTheta #s(literal 2 binary32) #s(literal 1 binary32)) #s(literal 2 binary32))))
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))))
(/.f32 (pow.f32 (fma.f32 cosTheta #s(literal 2 binary32) #s(literal 1 binary32)) #s(literal 2 binary32)) (fma.f32 cosTheta #s(literal 2 binary32) #s(literal 1 binary32)))
(*.f32 (*.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) #s(literal 1/4 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) #s(literal 1/4 binary32)))
(*.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal 2 binary32) #s(literal 1 binary32))) (pow.f32 (fma.f32 cosTheta #s(literal 2 binary32) #s(literal 1 binary32)) #s(literal 1/2 binary32)))
(*.f32 (*.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) #s(literal 1 binary32)) (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))))
(fma.f32 cosTheta #s(literal 2 binary32) #s(literal 1 binary32))
(*.f32 (+.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 cosTheta)) (-.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 cosTheta)))
(*.f32 (+.f32 (sqrt.f32 cosTheta) (sqrt.f32 (+.f32 #s(literal 1 binary32) cosTheta))) (-.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 cosTheta)))
(*.f32 (*.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) (cbrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))) (cbrt.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))))
(*.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal 2 binary32) #s(literal 1 binary32))) (*.f32 (cbrt.f32 (fma.f32 cosTheta #s(literal 2 binary32) #s(literal 1 binary32))) (cbrt.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal 2 binary32) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) #s(literal 2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (+.f32 (pow.f32 (+.f32 #s(literal 1 binary32) cosTheta) #s(literal 3 binary32)) (pow.f32 cosTheta #s(literal 3 binary32)))))
(/.f32 (+.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) cosTheta) #s(literal 3 binary32))) (fma.f32 cosTheta (+.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (fma.f32 cosTheta #s(literal 2 binary32) #s(literal 1 binary32)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) #s(literal 2 binary32))))
(/.f32 (pow.f32 (fma.f32 cosTheta #s(literal 2 binary32) #s(literal 1 binary32)) #s(literal 2 binary32)) (fma.f32 cosTheta #s(literal 2 binary32) #s(literal 1 binary32)))
(/.f32 (+.f32 (pow.f32 (+.f32 #s(literal 1 binary32) cosTheta) #s(literal 3 binary32)) (pow.f32 cosTheta #s(literal 3 binary32))) (+.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) #s(literal 2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta)))
(/.f32 (+.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) cosTheta) #s(literal 3 binary32))) (fma.f32 cosTheta (+.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (fma.f32 cosTheta #s(literal 2 binary32) #s(literal 1 binary32)) #s(literal 2 binary32))))
(/.f32 (+.f32 (pow.f32 (+.f32 #s(literal 1 binary32) cosTheta) #s(literal 3 binary32)) (pow.f32 cosTheta #s(literal 3 binary32))) (+.f32 (pow.f32 (+.f32 #s(literal 1 binary32) cosTheta) #s(literal 2 binary32)) (-.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta))))
(/.f32 (+.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) cosTheta) #s(literal 3 binary32))) (+.f32 (pow.f32 (+.f32 #s(literal 1 binary32) cosTheta) #s(literal 2 binary32)) (*.f32 cosTheta (-.f32 cosTheta (+.f32 #s(literal 1 binary32) cosTheta)))))
(/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))
(/.f32 (pow.f32 (fma.f32 cosTheta #s(literal 2 binary32) #s(literal 1 binary32)) #s(literal 2 binary32)) (fma.f32 cosTheta #s(literal 2 binary32) #s(literal 1 binary32)))
(/.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) (*.f32 cosTheta #s(literal 2 binary32))) #s(literal 2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) cosTheta) cosTheta))))
(/.f32 (-.f32 (neg.f32 (pow.f32 (+.f32 #s(literal 1 binary32) cosTheta) #s(literal 3 binary32))) (pow.f32 cosTheta #s(literal 3 binary32))) (neg.f32 (fma.f32 cosTheta (+.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (fma.f32 cosTheta #s(literal 2 binary32) #s(literal 1 binary32)) #s(literal 2 binary32)))))
(/.f32 (neg.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) #s(literal 2 binary32))) (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))))
(*.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (fma.f32 cosTheta #s(literal 2 binary32) #s(literal 1 binary32)) #s(literal 2 binary32)) (fma.f32 cosTheta #s(literal 2 binary32) #s(literal 1 binary32))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 cosTheta #s(literal 2 binary32)) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 (*.f32 cosTheta #s(literal 2 binary32)) (*.f32 cosTheta #s(literal 2 binary32))) (*.f32 cosTheta #s(literal 2 binary32)))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 cosTheta #s(literal 2 binary32)) #s(literal 3 binary32))) (fma.f32 (fma.f32 cosTheta #s(literal 2 binary32) #s(literal 1 binary32)) (*.f32 cosTheta #s(literal 2 binary32)) #s(literal 1 binary32)))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta #s(literal 2 binary32)) (*.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) #s(literal -4 binary32))) (fma.f32 cosTheta #s(literal 2 binary32) #s(literal 1 binary32)))
(pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) #s(literal 1 binary32))
(fma.f32 cosTheta #s(literal 2 binary32) #s(literal 1 binary32))
(pow.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32))
(fma.f32 cosTheta #s(literal 2 binary32) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) #s(literal 3 binary32))
(fma.f32 cosTheta #s(literal 2 binary32) #s(literal 1 binary32))
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(fma.f32 cosTheta #s(literal 2 binary32) #s(literal 1 binary32))
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) #s(literal 2 binary32)) #s(literal 1/2 binary32))
(fabs.f32 (fma.f32 cosTheta #s(literal 2 binary32) #s(literal 1 binary32)))
(sqrt.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) #s(literal 2 binary32)))
(fabs.f32 (fma.f32 cosTheta #s(literal 2 binary32) #s(literal 1 binary32)))
(log.f32 (exp.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))))
(fma.f32 cosTheta #s(literal 2 binary32) #s(literal 1 binary32))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))))
(fma.f32 cosTheta #s(literal 2 binary32) #s(literal 1 binary32))
(cbrt.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) #s(literal 3 binary32)))
(fma.f32 cosTheta #s(literal 2 binary32) #s(literal 1 binary32))
(expm1.f32 (log1p.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))))
(expm1.f32 (log1p.f32 (fma.f32 cosTheta #s(literal 2 binary32) #s(literal 1 binary32))))
(log1p.f32 (expm1.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))))
(fma.f32 cosTheta #s(literal 2 binary32) #s(literal 1 binary32))
(exp.f32 (log.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))))
(fma.f32 cosTheta #s(literal 2 binary32) #s(literal 1 binary32))
(exp.f32 (*.f32 (log.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) #s(literal 1 binary32)))
(fma.f32 cosTheta #s(literal 2 binary32) #s(literal 1 binary32))
(fma.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) cosTheta) cosTheta)
(fma.f32 cosTheta #s(literal 2 binary32) #s(literal 1 binary32))
(fma.f32 (pow.f32 (cbrt.f32 (+.f32 #s(literal 1 binary32) cosTheta)) #s(literal 2 binary32)) (cbrt.f32 (+.f32 #s(literal 1 binary32) cosTheta)) cosTheta)
(fma.f32 cosTheta #s(literal 2 binary32) #s(literal 1 binary32))
(fma.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 (+.f32 #s(literal 1 binary32) cosTheta)) cosTheta)
(fma.f32 cosTheta #s(literal 2 binary32) #s(literal 1 binary32))

eval328.0ms (2.3%)

Compiler

Compiled 17868 to 12628 computations (29.3% saved)

prune186.0ms (1.3%)

Pruning

40 alts after pruning (40 fresh and 0 done)

PrunedKeptTotal
New44640486
Fresh000
Picked202
Done000
Total44840488
Accuracy
99.9%
Counts
488 → 40
Alt Table
Click to see full alt table
StatusAccuracyProgram
90.9%
(pow.f32 (pow.f32 (fma.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (+.f32 #s(literal 1 binary32) c)) #s(literal -1/2 binary32)) #s(literal 2 binary32))
▶94.7%
(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))) cosTheta) (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))) c)) #s(literal -1/2 binary32)) #s(literal 2 binary32))
45.0%
(pow.f32 (pow.f32 (exp.f32 (neg.f32 (log1p.f32 (fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta) (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))) c)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
90.2%
(pow.f32 (cbrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (+.f32 #s(literal 1 binary32) c)))) #s(literal 3 binary32))
90.4%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (pow.f32 (sqrt.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))) #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 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))) #s(literal 3 binary32)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
89.8%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal 2 binary32) #s(literal 1 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) cosTheta)) (pow.f32 (PI.f32) #s(literal 1/4 binary32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
91.2%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
95.3%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
▶91.5%
(/.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 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
91.2%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
97.6%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
90.3%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (sqrt.f32 cosTheta)) (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
91.3%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) (cbrt.f32 (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (cbrt.f32 (sqrt.f32 (PI.f32))))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
97.6%
(/.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)))))
▶97.8%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (*.f32 (cbrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (cbrt.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
54.1%
(/.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)) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 2 binary32))))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
53.8%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (sqrt.f32 (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (pow.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
96.3%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1 binary32)))) cosTheta) (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (sqrt.f32 (PI.f32))) c)))
95.0%
(/.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))) cosTheta) (/.f32 (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (cbrt.f32 (sqrt.f32 (PI.f32)))) (cbrt.f32 (PI.f32))) c)))
96.2%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (log.f32 (exp.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))))) cosTheta) (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (sqrt.f32 (PI.f32))) c)))
96.4%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 cosTheta (+.f32 c (-.f32 (*.f32 cosTheta (*.f32 (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)))
37.6%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 c #s(literal 3 binary32)) (pow.f32 (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (*.f32 (sqrt.f32 (PI.f32)) (/.f32 cosTheta (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)))))) #s(literal 3 binary32))) (fma.f32 (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (*.f32 (sqrt.f32 (PI.f32)) (/.f32 cosTheta (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)) (/.f32 cosTheta (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)))))) (*.f32 c (-.f32 c (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (*.f32 (sqrt.f32 (PI.f32)) (/.f32 cosTheta (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))))))))))))
95.0%
(/.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 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))) cosTheta)))
91.4%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))
▶95.5%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (*.f32 (/.f32 cosTheta (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)))) (sqrt.f32 (PI.f32)))) c)))
97.7%
(/.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)))))))
97.4%
(/.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 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))))
91.3%
(/.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))))))
57.9%
(/.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))))))))
11.1%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c))
▶5.0%
(/.f32 #s(literal 1 binary32) c)
97.6%
(+.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)))))))
90.5%
(*.f32 (pow.f32 (sqrt.f32 (fma.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (+.f32 #s(literal 1 binary32) c))) #s(literal -1 binary32)) (pow.f32 (sqrt.f32 (fma.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (+.f32 #s(literal 1 binary32) c))) #s(literal -1 binary32)))
93.8%
(*.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (cbrt.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta) (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))) c))) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (cbrt.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta) (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))) c)))))
58.0%
(*.f32 (cbrt.f32 (pow.f32 (fma.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (+.f32 #s(literal 1 binary32) c)) #s(literal -2 binary32))) (cbrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (+.f32 #s(literal 1 binary32) c)))))
97.5%
(*.f32 cosTheta (fma.f32 cosTheta (fma.f32 cosTheta (fma.f32 (neg.f32 cosTheta) (-.f32 (fma.f32 (PI.f32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal 1/2 binary32)) (*.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (neg.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32)) (+.f32 #s(literal 1 binary32) (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))) (*.f32 (*.f32 (sqrt.f32 (PI.f32)) (+.f32 #s(literal 1 binary32) (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (-.f32 (*.f32 (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 (-.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 (+.f32 #s(literal 1 binary32) (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (neg.f32 (PI.f32)))) (sqrt.f32 (PI.f32))))
95.9%
(*.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)))))))))))
92.6%
(*.f32 cosTheta (sqrt.f32 (PI.f32)))
58.0%
(sqrt.f32 (pow.f32 (fma.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (+.f32 #s(literal 1 binary32) c)) #s(literal -2 binary32)))
Compiler

Compiled 2378 to 1902 computations (20% saved)

localize959.0ms (6.6%)

Localize:

Found 16 expressions with local error:

NewAccuracyProgram
✓99.3%
(pow.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta) (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))) c)) #s(literal -1/2 binary32))
✓98.4%
(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))) cosTheta) (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))) c)) #s(literal -1/2 binary32)) #s(literal 2 binary32))
✓98.3%
(fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta) (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))) c)
✓97.0%
(/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32)))
99.8%
(sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)))
✓99.3%
(/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (*.f32 (/.f32 cosTheta (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)))) (sqrt.f32 (PI.f32))))
✓99.1%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (*.f32 (/.f32 cosTheta (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)))) (sqrt.f32 (PI.f32)))) c)))
✓98.9%
(*.f32 (/.f32 cosTheta (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)))) (sqrt.f32 (PI.f32)))
✓99.8%
(sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))
✓99.1%
(/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))
✓99.0%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
✓98.9%
(*.f32 (sqrt.f32 (PI.f32)) cosTheta)
✓99.0%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (*.f32 (cbrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (cbrt.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
✓98.2%
(*.f32 (*.f32 (cbrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (cbrt.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta))
✓96.9%
(pow.f32 (PI.f32) #s(literal -1/2 binary32))
✓96.9%
(cbrt.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)))
Results
746.0ms256×256valid
Compiler

Compiled 511 to 312 computations (38.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 637.0ms
ival-mult: 153.0ms (24% of total)
ival-pow: 119.0ms (18.7% of total)
ival-add: 76.0ms (11.9% of total)
composed: 75.0ms (11.8% of total)
ival-div: 73.0ms (11.5% of total)
ival-sqrt: 49.0ms (7.7% of total)
ival-exp: 32.0ms (5% of total)
ival-cbrt: 25.0ms (3.9% of total)
ival-sub: 20.0ms (3.1% of total)
const: 13.0ms (2% of total)
ival-pi: 1.0ms (0.2% of total)
ival-neg: 1.0ms (0.2% of total)

series227.0ms (1.6%)

Counts
15 → 228
Calls
Call 1
Inputs
#<alt (cbrt.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)))>
#<alt (pow.f32 (PI.f32) #s(literal -1/2 binary32))>
#<alt (*.f32 (*.f32 (cbrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (cbrt.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta))>
#<alt (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (*.f32 (cbrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (cbrt.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))>
#<alt (*.f32 (sqrt.f32 (PI.f32)) cosTheta)>
#<alt (/.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 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))>
#<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 cosTheta (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)))) (sqrt.f32 (PI.f32)))>
#<alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (*.f32 (/.f32 cosTheta (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)))) (sqrt.f32 (PI.f32)))) c)))>
#<alt (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (*.f32 (/.f32 cosTheta (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)))) (sqrt.f32 (PI.f32))))>
#<alt (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32)))>
#<alt (fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta) (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))) c)>
#<alt (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))) cosTheta) (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))) c)) #s(literal -1/2 binary32)) #s(literal 2 binary32))>
#<alt (pow.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta) (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))) c)) #s(literal -1/2 binary32))>
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)))>
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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))))))>
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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 (*.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))))))>
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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)>
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#<alt (/.f32 #s(literal 1 binary32) c)>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))) (/.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32)) c))>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))) #s(literal 2 binary32)) c) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))))) c)) #s(literal 1 binary32)) c))>
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#<alt (*.f32 cosTheta (sqrt.f32 (PI.f32)))>
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#<alt (*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) #s(literal 2 binary32)))) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))))>
#<alt (*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (-.f32 (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) #s(literal 2 binary32)))) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))) (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))) (*.f32 (PI.f32) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))) (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) #s(literal 2 binary32)))) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))))>
#<alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))))>
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#<alt (/.f32 #s(literal 1 binary32) c)>
#<alt (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))) c))) c)>
#<alt (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))) #s(literal 2 binary32)) (pow.f32 c #s(literal 2 binary32)))) (+.f32 (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))) (/.f32 #s(literal 1 binary32) c))) c)>
#<alt (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))) #s(literal 3 binary32)) (pow.f32 c #s(literal 3 binary32))))) (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))) #s(literal 2 binary32)) (pow.f32 c #s(literal 2 binary32)))) (+.f32 (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))) (/.f32 #s(literal 1 binary32) c)))) c)>
#<alt (/.f32 #s(literal 1 binary32) c)>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))) (/.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32)) c))>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))) #s(literal 2 binary32)) c) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))))) c)) #s(literal 1 binary32)) c))>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))) #s(literal 3 binary32)) c) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))) #s(literal 2 binary32))) c)) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))))) c)) #s(literal 1 binary32)) c))>
#<alt (*.f32 cosTheta (sqrt.f32 (PI.f32)))>
#<alt (*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (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 (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 (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 (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 (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 (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 (*.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 (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 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))))>
#<alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal 2 binary32)))))))>
#<alt (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal 2 binary32)))))) #s(literal 2 binary32)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal 2 binary32))))))))>
#<alt (-.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1/4 binary32) (/.f32 (*.f32 cosTheta (pow.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32))) (*.f32 (PI.f32) (*.f32 (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal 2 binary32)))))) #s(literal 3 binary32)))))) (*.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32))) (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal 2 binary32)))))) #s(literal 2 binary32))))))) (pow.f32 cosTheta #s(literal 4 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal 2 binary32)))))))) (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal 2 binary32)))))) #s(literal 2 binary32)))))))>
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#<alt (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))>
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#<alt (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal 2 binary32)))>
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#<alt (+.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32))))) (+.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 7 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 5 binary32))))) (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal 2 binary32))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal 2 binary32))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 #s(literal -1 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 -2 binary32)) (sqrt.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 (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 -2 binary32)) (sqrt.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 (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 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))))))>
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#<alt (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (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 -2 binary32)) (sqrt.f32 #s(literal -1 binary32)))))))>
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#<alt (*.f32 cosTheta (sqrt.f32 (PI.f32)))>
#<alt (*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))))>
#<alt (*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 cosTheta (+.f32 (PI.f32) (*.f32 #s(literal -4 binary32) (PI.f32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))>
#<alt (*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (PI.f32) (*.f32 #s(literal -4 binary32) (PI.f32))))) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 cosTheta (+.f32 (*.f32 #s(literal -8 binary32) (PI.f32)) (*.f32 #s(literal -1 binary32) (+.f32 (PI.f32) (*.f32 #s(literal -4 binary32) (PI.f32)))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))))>
#<alt (*.f32 (sqrt.f32 (*.f32 cosTheta (PI.f32))) (sqrt.f32 #s(literal -1/2 binary32)))>
#<alt (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (pow.f32 cosTheta #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1/2 binary32))))) (*.f32 (sqrt.f32 (/.f32 (PI.f32) cosTheta)) (sqrt.f32 #s(literal -1/2 binary32)))))>
#<alt (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (pow.f32 cosTheta #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1/2 binary32))))) (+.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1/2 binary32))))) (*.f32 (sqrt.f32 (/.f32 (PI.f32) cosTheta)) (sqrt.f32 #s(literal -1/2 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 7 binary32)) (PI.f32)))) (/.f32 (+.f32 (*.f32 #s(literal 1/64 binary32) (/.f32 (*.f32 cosTheta (PI.f32)) (pow.f32 (sqrt.f32 #s(literal -1/2 binary32)) #s(literal 2 binary32)))) (*.f32 #s(literal 1/16 binary32) (PI.f32))) (sqrt.f32 #s(literal -1/2 binary32))))) (+.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (pow.f32 cosTheta #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1/2 binary32))))) (+.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1/2 binary32))))) (*.f32 (sqrt.f32 (/.f32 (PI.f32) cosTheta)) (sqrt.f32 #s(literal -1/2 binary32)))))))>
#<alt (*.f32 (sqrt.f32 (*.f32 cosTheta (PI.f32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 1/2 binary32))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) cosTheta)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 1/2 binary32))))) (*.f32 #s(literal 1/8 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (pow.f32 cosTheta #s(literal 3 binary32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 1/2 binary32))))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) cosTheta)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 1/2 binary32))))) (+.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 1/2 binary32))))) (*.f32 #s(literal 1/8 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (pow.f32 cosTheta #s(literal 3 binary32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 1/2 binary32)))))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) cosTheta)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 1/2 binary32))))) (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (+.f32 (*.f32 #s(literal -1/64 binary32) (/.f32 (*.f32 cosTheta (PI.f32)) (pow.f32 (sqrt.f32 #s(literal 1/2 binary32)) #s(literal 2 binary32)))) (*.f32 #s(literal 1/16 binary32) (PI.f32)))) (sqrt.f32 #s(literal 1/2 binary32))))) (*.f32 #s(literal -1/16 binary32) (*.f32 (sqrt.f32 (*.f32 cosTheta (PI.f32))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 1/2 binary32)))))) (pow.f32 cosTheta #s(literal 3 binary32)))) (*.f32 #s(literal 1/8 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (pow.f32 cosTheta #s(literal 3 binary32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 1/2 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 (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)))))))>
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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 (pow.f32 cosTheta #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))))))))>
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#<alt (-.f32 (+.f32 (*.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 #s(literal 1 binary32) (+.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))))))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 c (pow.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))))) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (+.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)))))))>
#<alt (+.f32 (*.f32 c (-.f32 (/.f32 c (pow.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))))) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (pow.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))))) #s(literal 2 binary32))))) (/.f32 #s(literal 1 binary32) (+.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)))))))>
#<alt (+.f32 (*.f32 c (-.f32 (*.f32 c (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 c (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (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 (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 (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 (pow.f32 cosTheta #s(literal 2 binary32))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))))))>
#<alt (/.f32 #s(literal 1 binary32) c)>
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#<alt (/.f32 #s(literal 1 binary32) c)>
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#<alt (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))>
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#<alt (*.f32 (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))))>
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#<alt (+.f32 (*.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 (*.f32 #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))) (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 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32))) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32)))))))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (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 (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 (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 (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 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))>
#<alt (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))>
#<alt (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 #s(literal 1/2 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))>
#<alt (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 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)))))))))>
#<alt (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))>
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#<alt (+.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 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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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))) (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 (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 (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 (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 (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 (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 (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 (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 (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 c (*.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)))))>
#<alt (+.f32 c (*.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)))))>
#<alt c>
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#<alt (*.f32 c (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.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))))))>
#<alt (*.f32 c (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.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))))))>
#<alt c>
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#<alt (*.f32 #s(literal -1 binary32) (*.f32 c (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 (exp.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))))) #s(literal 1 binary32))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 c (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 (exp.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))))) #s(literal 1 binary32))))>
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#<alt (*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) #s(literal 2 binary32)))) (*.f32 (PI.f32) (+.f32 (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)))))))))))>
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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 (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 #s(literal 1 binary32) (+.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))))))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 c (pow.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))))) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (+.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)))))))>
#<alt (+.f32 (*.f32 c (-.f32 (/.f32 c (pow.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))))) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (pow.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))))) #s(literal 2 binary32))))) (/.f32 #s(literal 1 binary32) (+.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)))))))>
#<alt (+.f32 (*.f32 c (-.f32 (*.f32 c (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 c (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (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 (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 (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 (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 (sqrt.f32 (/.f32 #s(literal 1 binary32) c)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)))>
#<alt (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 c #s(literal 3 binary32)))) (+.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))))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) c)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32))))>
#<alt (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 c #s(literal 3 binary32)))) (+.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))))))) (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 c #s(literal 5 binary32)))) (pow.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))))) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) c)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)))))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 c) (pow.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))))) #s(literal 2 binary32)))) (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) c)) (+.f32 (*.f32 #s(literal -1/4 binary32) (/.f32 (*.f32 c (pow.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))))) #s(literal 2 binary32))) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)))) (pow.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))))) #s(literal 3 binary32)))))) (pow.f32 c #s(literal 3 binary32)))) (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 c #s(literal 3 binary32)))) (+.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))))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) c)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)))))>
Calls

57 calls:

TimeVariablePointExpression
51.0ms
cosTheta
@0
(* (* (cbrt (/ 1 (PI))) (cbrt (pow (PI) -1/2))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta))
15.0ms
c
@0
(/ 1 (+ (+ 1 c) (* (* (* (cbrt (/ 1 (PI))) (cbrt (pow (PI) -1/2))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))))
6.0ms
cosTheta
@-inf
(pow (+ 1 (+ (* (/ (sqrt (+ (* cosTheta -2) 1)) cosTheta) (/ (exp (pow cosTheta 2)) (sqrt (PI)))) c)) -1/2)
5.0ms
cosTheta
@-inf
(/ 1 (+ 1 (+ (/ (exp (pow cosTheta 2)) (* (/ cosTheta (sqrt (+ (* cosTheta -2) 1))) (sqrt (PI)))) c)))
5.0ms
cosTheta
@inf
(pow (+ 1 (+ (* (/ (sqrt (+ (* cosTheta -2) 1)) cosTheta) (/ (exp (pow cosTheta 2)) (sqrt (PI)))) c)) -1/2)

rewrite225.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
487×log1p-expm1-u
487×expm1-log1p-u
477×add-exp-log
474×add-log-exp
470×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
056759
11072693
Stop Event
1×node limit
Counts
15 → 330
Calls
Call 1
Inputs
(cbrt.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)))
(pow.f32 (PI.f32) #s(literal -1/2 binary32))
(*.f32 (*.f32 (cbrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (cbrt.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (*.f32 (cbrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (cbrt.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(*.f32 (sqrt.f32 (PI.f32)) cosTheta)
(/.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 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.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 cosTheta (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)))) (sqrt.f32 (PI.f32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (*.f32 (/.f32 cosTheta (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)))) (sqrt.f32 (PI.f32)))) c)))
(/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (*.f32 (/.f32 cosTheta (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)))) (sqrt.f32 (PI.f32))))
(/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32)))
(fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta) (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))) c)
(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))) cosTheta) (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))) c)) #s(literal -1/2 binary32)) #s(literal 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))) cosTheta) (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))) c)) #s(literal -1/2 binary32))
Outputs
(-.f32 (exp.f32 (log1p.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (pow.f32 (PI.f32) #s(literal -1/6 binary32)))
(*.f32 (cbrt.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 (PI.f32)))) (cbrt.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32))))
(*.f32 (cbrt.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32))) (cbrt.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 (PI.f32)))))
(*.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32))) (sqrt.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32))))
(*.f32 (pow.f32 #s(literal 1 binary32) #s(literal 1/3 binary32)) (pow.f32 (PI.f32) #s(literal -1/6 binary32)))
(*.f32 (pow.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32))) #s(literal 1/3 binary32)) (pow.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32))) #s(literal 1/3 binary32)))
(*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal -1/4 binary32)) #s(literal 1/3 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal -1/4 binary32)) #s(literal 1/3 binary32)))
(*.f32 (cbrt.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)))) (cbrt.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)))))
(*.f32 (cbrt.f32 (pow.f32 (PI.f32) #s(literal -1/4 binary32))) (cbrt.f32 (pow.f32 (PI.f32) #s(literal -1/4 binary32))))
(pow.f32 (PI.f32) #s(literal -1/6 binary32))
(pow.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) #s(literal 1/3 binary32))
(pow.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32))) #s(literal 3 binary32))
(pow.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32))) #s(literal 2 binary32))
(log.f32 (exp.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)))))
(cbrt.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)))
(expm1.f32 (log1p.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32))))
(log1p.f32 (expm1.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32))))
(exp.f32 (log.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32))))
(exp.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (log.f32 (PI.f32))) #s(literal 1/3 binary32)))
(exp.f32 (*.f32 (log.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)))) #s(literal 1 binary32))
(*.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (/.f32 #s(literal 1 binary32) (cbrt.f32 (PI.f32))))
(*.f32 #s(literal 1 binary32) (pow.f32 (PI.f32) #s(literal -1/2 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 (PI.f32))) (pow.f32 (PI.f32) #s(literal -1/6 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 (sqrt.f32 (PI.f32)) #s(literal -1/2 binary32)) (pow.f32 (sqrt.f32 (PI.f32)) #s(literal -1/2 binary32)))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) #s(literal -1/2 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal -1/2 binary32)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))
(pow.f32 (PI.f32) #s(literal -1/2 binary32))
(pow.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) #s(literal 1 binary32))
(pow.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) #s(literal 3 binary32))
(pow.f32 (sqrt.f32 (PI.f32)) #s(literal -1 binary32))
(pow.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/4 binary32))
(pow.f32 (pow.f32 (PI.f32) #s(literal -3/2 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 (pow.f32 (PI.f32) #s(literal -1/4 binary32)) #s(literal 2 binary32))
(pow.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal 1/3 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 (PI.f32) #s(literal -3/2 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 #s(literal 1 binary32) (PI.f32))))
(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 (*.f32 #s(literal -1/2 binary32) (log.f32 (PI.f32))))
(exp.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (log.f32 (PI.f32))) #s(literal 1 binary32)))
(exp.f32 (neg.f32 (log.f32 (sqrt.f32 (PI.f32)))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta)))) #s(literal 1 binary32))
(*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta))
(*.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta)))
(*.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 (PI.f32))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta)))
(*.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (pow.f32 (PI.f32) #s(literal -1/2 binary32)))
(*.f32 (pow.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (cbrt.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta))) #s(literal 2 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (cbrt.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta))))
(*.f32 (sqrt.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta))) (sqrt.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta))))
(/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))) cosTheta)
(pow.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta)) #s(literal 1 binary32))
(pow.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (cbrt.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta))) #s(literal 2 binary32))
(log.f32 (pow.f32 (exp.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32))) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta)))))
(cbrt.f32 (pow.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta)) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -3/2 binary32)) (pow.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta) #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal -3/2 binary32))))
(expm1.f32 (log1p.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta))))
(log1p.f32 (expm1.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta))))
(exp.f32 (log.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta))))
(exp.f32 (*.f32 (log.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))) (+.f32 #s(literal 1 binary32) c))))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))) (+.f32 #s(literal 1 binary32) c))))
(*.f32 (cbrt.f32 (pow.f32 (fma.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))) (+.f32 #s(literal 1 binary32) c)) #s(literal -2 binary32))) (/.f32 #s(literal 1 binary32) (cbrt.f32 (fma.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))) (+.f32 #s(literal 1 binary32) c)))))
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(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta) (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))) c)) #s(literal -1/4 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta) (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))) c)) #s(literal -1/4 binary32)))
(*.f32 (pow.f32 #s(literal 1 binary32) #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))) cosTheta) (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))) c)) #s(literal -1/2 binary32)))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta) (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))) c))) #s(literal 2 binary32)) #s(literal -1/2 binary32)) (pow.f32 (cbrt.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta) (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))) c))) #s(literal -1/2 binary32)))
(*.f32 (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))) cosTheta) (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))) c))) #s(literal -1/2 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))) cosTheta) (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))) 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))) cosTheta) (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))) c)) #s(literal -1/2 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))) cosTheta) (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))) c)) #s(literal -1/2 binary32)) #s(literal 1 binary32))
(pow.f32 (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))) cosTheta) (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))) 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))) cosTheta) (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))) c)) #s(literal -3/2 binary32)) #s(literal 1/3 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))) cosTheta) (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))) c)) #s(literal 2 binary32)) #s(literal -1/4 binary32))
(pow.f32 (sqrt.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta) (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))) c)) #s(literal -1/2 binary32))) #s(literal 2 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))) cosTheta) (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))) c)) #s(literal -1/4 binary32)) #s(literal 2 binary32))
(log.f32 (exp.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta) (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))) c)) #s(literal -1/2 binary32))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta) (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))) c)) #s(literal -1/2 binary32)))))
(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))) cosTheta) (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))) c)) #s(literal -3/2 binary32)))
(expm1.f32 (log1p.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta) (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))) c)) #s(literal -1/2 binary32))))
(log1p.f32 (expm1.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta) (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))) c)) #s(literal -1/2 binary32))))
(exp.f32 (*.f32 #s(literal -1/2 binary32) (log1p.f32 (fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta) (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))) c))))
(exp.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (log1p.f32 (fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta) (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))) c))) #s(literal 1 binary32)))

simplify321.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
1276×times-frac
1202×*-commutative
568×+-commutative
376×sub-neg
370×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0179364192
1503662806
Stop Event
1×node limit
Counts
558 → 682
Calls
Call 1
Inputs
(*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))
(/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) cosTheta)
(/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))) cosTheta)
(/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))) cosTheta)
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32)))
(+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -2 binary32))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32))))
(+.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32))))) (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -2 binary32))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32)))))
(+.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32))))) (+.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 7 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32))))) (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -2 binary32))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32))))))
(*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))))
(+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))) (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))))
(+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))) (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))) (*.f32 #s(literal 1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32)))))))
(+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))) (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))) (+.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 7 binary32)) (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 5 binary32))))) (*.f32 #s(literal 1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32))))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))))
(+.f32 (*.f32 #s(literal -1 binary32) (/.f32 c (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))))))
(+.f32 (*.f32 c (-.f32 (/.f32 c (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))) #s(literal 2 binary32))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))))))
(+.f32 (*.f32 c (-.f32 (*.f32 c (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 c (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))) #s(literal 4 binary32)))) (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))) #s(literal 3 binary32))))) (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))) #s(literal 2 binary32))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))))))
(/.f32 #s(literal 1 binary32) c)
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))) c))) c)
(/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))) #s(literal 2 binary32)) (pow.f32 c #s(literal 2 binary32)))) (+.f32 (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))) (/.f32 #s(literal 1 binary32) c))) c)
(/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))) #s(literal 3 binary32)) (pow.f32 c #s(literal 3 binary32))))) (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))) #s(literal 2 binary32)) (pow.f32 c #s(literal 2 binary32)))) (+.f32 (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))) (/.f32 #s(literal 1 binary32) c)))) c)
(/.f32 #s(literal 1 binary32) c)
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#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) cosTheta)
(+.f32 #s(literal 1 binary32) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/2 binary32) cosTheta))))
(+.f32 #s(literal 1 binary32) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal 1/2 binary32) cosTheta) #s(literal 1/2 binary32))))))
(*.f32 (sqrt.f32 cosTheta) (sqrt.f32 #s(literal 2 binary32)))
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(*.f32 cosTheta (sqrt.f32 (PI.f32)))
(*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))))
(*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 cosTheta (+.f32 (PI.f32) (*.f32 #s(literal -4 binary32) (PI.f32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))
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(*.f32 (sqrt.f32 (*.f32 cosTheta (PI.f32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 1/2 binary32))))
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(*.f32 cosTheta (sqrt.f32 (PI.f32)))
(*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 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)))))))))))
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c
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(pow.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta) (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))) c)) #s(literal -1 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))) cosTheta) (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))) c)) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(pow.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))) cosTheta) (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))) c))) #s(literal 1 binary32))
(pow.f32 (cbrt.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))) cosTheta) (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))) c)))) #s(literal 3 binary32))
(pow.f32 (pow.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))) cosTheta) (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))) c))) #s(literal 3 binary32)) #s(literal 1/3 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))) cosTheta) (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))) c)) #s(literal 2 binary32)) #s(literal -1/2 binary32))
(pow.f32 (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))) cosTheta) (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))) c)))) #s(literal 2 binary32))
(log.f32 (exp.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))) cosTheta) (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))) c)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.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))) cosTheta) (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))) c))))))
(cbrt.f32 (pow.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))) cosTheta) (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))) 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))) cosTheta) (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))) 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))) cosTheta) (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))) c)) #s(literal -3/2 binary32))))
(expm1.f32 (log1p.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))) cosTheta) (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))) c)))))
(log1p.f32 (expm1.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))) cosTheta) (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))) c)))))
(exp.f32 (*.f32 #s(literal -1 binary32) (log1p.f32 (fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta) (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))) c))))
(exp.f32 (*.f32 (log1p.f32 (fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta) (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))) c)) #s(literal -1 binary32)))
(exp.f32 (*.f32 (*.f32 #s(literal -1 binary32) (log1p.f32 (fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta) (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))) c))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta) (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))) c)) #s(literal -1/2 binary32)))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta) (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))) c)) #s(literal -1/2 binary32)))
(*.f32 (cbrt.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))) cosTheta) (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))) 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))) cosTheta) (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))) c)) #s(literal -1/2 binary32))))
(*.f32 (sqrt.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta) (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))) c)) #s(literal -1/2 binary32))) (sqrt.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta) (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))) c)) #s(literal -1/2 binary32))))
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta) (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))) c)) #s(literal -1/4 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta) (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))) c)) #s(literal -1/4 binary32)))
(*.f32 (pow.f32 #s(literal 1 binary32) #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))) cosTheta) (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))) c)) #s(literal -1/2 binary32)))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta) (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))) c))) #s(literal 2 binary32)) #s(literal -1/2 binary32)) (pow.f32 (cbrt.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta) (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))) c))) #s(literal -1/2 binary32)))
(*.f32 (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))) cosTheta) (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))) c))) #s(literal -1/2 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))) cosTheta) (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))) 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))) cosTheta) (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))) c)) #s(literal -1/2 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))) cosTheta) (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))) c)) #s(literal -1/2 binary32)) #s(literal 1 binary32))
(pow.f32 (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))) cosTheta) (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))) 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))) cosTheta) (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))) c)) #s(literal -3/2 binary32)) #s(literal 1/3 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))) cosTheta) (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))) c)) #s(literal 2 binary32)) #s(literal -1/4 binary32))
(pow.f32 (sqrt.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta) (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))) c)) #s(literal -1/2 binary32))) #s(literal 2 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))) cosTheta) (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))) c)) #s(literal -1/4 binary32)) #s(literal 2 binary32))
(log.f32 (exp.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta) (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))) c)) #s(literal -1/2 binary32))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta) (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))) c)) #s(literal -1/2 binary32)))))
(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))) cosTheta) (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))) c)) #s(literal -3/2 binary32)))
(expm1.f32 (log1p.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta) (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))) c)) #s(literal -1/2 binary32))))
(log1p.f32 (expm1.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta) (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))) c)) #s(literal -1/2 binary32))))
(exp.f32 (*.f32 #s(literal -1/2 binary32) (log1p.f32 (fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta) (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))) c))))
(exp.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (log1p.f32 (fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta) (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))) c))) #s(literal 1 binary32)))
Outputs
(*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)
(/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) cosTheta)
(/.f32 (-.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 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 (*.f32 cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.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 -1/2 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 (-.f32 (*.f32 cosTheta (*.f32 #s(literal -1/2 binary32) (*.f32 (+.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) 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))))) (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 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (sqrt.f32 #s(literal -2 binary32))) #s(literal -1/2 binary32)) (fma.f32 #s(literal 1/2 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 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (sqrt.f32 #s(literal -2 binary32))) #s(literal -1/2 binary32)) (fma.f32 #s(literal 1/16 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 7 binary32))))) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32))) (fma.f32 #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)))))
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(fma.f32 #s(literal -1/8 binary32) (*.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (sqrt.f32 #s(literal 2 binary32))) #s(literal 1/2 binary32)) (fma.f32 #s(literal 1/2 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)))))
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(fma.f32 #s(literal -1/8 binary32) (*.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (sqrt.f32 #s(literal 2 binary32))) #s(literal 1/2 binary32)) (fma.f32 #s(literal 1/16 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 7 binary32))))) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 5 binary32))) (fma.f32 #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 -2 binary32)) (sqrt.f32 #s(literal -1 binary32)))))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (neg.f32 (*.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 #s(literal -1 binary32)))))
(+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 #s(literal -1 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 (*.f32 #s(literal -1/2 binary32) (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 -2 binary32)) (sqrt.f32 #s(literal -1 binary32)))))
(+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.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 (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 (fma.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 3 binary32))))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal -2 binary32)))) (*.f32 (*.f32 #s(literal 1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32)))))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 #s(literal -2 binary32) (sqrt.f32 #s(literal -2 binary32)))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 #s(literal -1 binary32)))))
(+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.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 (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 (fma.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 3 binary32))))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal -2 binary32)))) (fma.f32 #s(literal -1/16 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 7 binary32))))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32)))) (*.f32 (*.f32 #s(literal 1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32)))))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 #s(literal -2 binary32) (sqrt.f32 #s(literal -2 binary32))))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 #s(literal -1 binary32)))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) cosTheta)
(+.f32 #s(literal 1 binary32) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/2 binary32) cosTheta))))
(+.f32 #s(literal 1 binary32) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -1/2 binary32)))))
(+.f32 #s(literal 1 binary32) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal 1/2 binary32) cosTheta) #s(literal 1/2 binary32))))))
(+.f32 #s(literal 1 binary32) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (fma.f32 cosTheta #s(literal 1/2 binary32) #s(literal -1/2 binary32))))))
(*.f32 (sqrt.f32 cosTheta) (sqrt.f32 #s(literal 2 binary32)))
(*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 cosTheta))
(*.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 (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 1/2 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 (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))))))
(*.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 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 -2 binary32)) (sqrt.f32 #s(literal -1 binary32)))))
(*.f32 (sqrt.f32 cosTheta) (neg.f32 (*.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 #s(literal -1 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 -2 binary32)) (sqrt.f32 #s(literal -1 binary32)))))))
(*.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 -2 binary32)) (sqrt.f32 #s(literal -1 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 1/2 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 -2 binary32)) (sqrt.f32 #s(literal -1 binary32))))))))
(*.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 -2 binary32)) (sqrt.f32 #s(literal -1 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 -2 binary32)) (sqrt.f32 #s(literal -1 binary32)))))))))
(*.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 -2 binary32)) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) cosTheta)))))) (neg.f32 cosTheta))
(*.f32 cosTheta (sqrt.f32 (PI.f32)))
(*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))))
(*.f32 cosTheta (*.f32 (+.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))))
(*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 cosTheta (+.f32 (PI.f32) (*.f32 #s(literal -4 binary32) (PI.f32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))
(*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 #s(literal -3 binary32) (PI.f32)))))))))
(*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (PI.f32) (*.f32 #s(literal -4 binary32) (PI.f32))))) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 cosTheta (+.f32 (*.f32 #s(literal -8 binary32) (PI.f32)) (*.f32 #s(literal -1 binary32) (+.f32 (PI.f32) (*.f32 #s(literal -4 binary32) (PI.f32)))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))))
(*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (*.f32 #s(literal -1/2 binary32) (+.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 #s(literal -3 binary32) (PI.f32))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (fma.f32 #s(literal -8 binary32) (PI.f32) (*.f32 #s(literal 3 binary32) (PI.f32))))))))))))
(*.f32 (sqrt.f32 (*.f32 cosTheta (PI.f32))) (sqrt.f32 #s(literal -1/2 binary32)))
(*.f32 cosTheta (+.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (pow.f32 cosTheta #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1/2 binary32))))) (*.f32 (sqrt.f32 (/.f32 (PI.f32) cosTheta)) (sqrt.f32 #s(literal -1/2 binary32)))))
(*.f32 cosTheta (fma.f32 #s(literal -1/8 binary32) (/.f32 (sqrt.f32 (/.f32 (PI.f32) (pow.f32 cosTheta #s(literal 3 binary32)))) (sqrt.f32 #s(literal -1/2 binary32))) (*.f32 (sqrt.f32 #s(literal -1/2 binary32)) (sqrt.f32 (/.f32 (PI.f32) cosTheta)))))
(*.f32 cosTheta (+.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (pow.f32 cosTheta #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1/2 binary32))))) (+.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1/2 binary32))))) (*.f32 (sqrt.f32 (/.f32 (PI.f32) cosTheta)) (sqrt.f32 #s(literal -1/2 binary32))))))
(*.f32 cosTheta (fma.f32 #s(literal -1/8 binary32) (/.f32 (sqrt.f32 (/.f32 (PI.f32) (pow.f32 cosTheta #s(literal 3 binary32)))) (sqrt.f32 #s(literal -1/2 binary32))) (fma.f32 #s(literal -1/16 binary32) (/.f32 (sqrt.f32 (/.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32)))) (sqrt.f32 #s(literal -1/2 binary32))) (*.f32 (sqrt.f32 #s(literal -1/2 binary32)) (sqrt.f32 (/.f32 (PI.f32) cosTheta))))))
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(*.f32 (sqrt.f32 (*.f32 cosTheta (PI.f32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 1/2 binary32))))
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(*.f32 cosTheta (sqrt.f32 (PI.f32)))
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(*.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)))))))
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(+.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))))))))
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c
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c
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(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))) cosTheta) (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))) c)) #s(literal -3/2 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))) cosTheta) (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))) c)) #s(literal 2 binary32)) #s(literal -1/4 binary32))
(pow.f32 (sqrt.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta) (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))) c)) #s(literal -1/2 binary32))) #s(literal 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))) cosTheta) (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))) c)) #s(literal -1/2 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))) cosTheta) (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))) c)) #s(literal -1/4 binary32)) #s(literal 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))) cosTheta) (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))) c)) #s(literal -1/2 binary32))
(log.f32 (exp.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta) (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))) 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))) cosTheta) (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))) c)) #s(literal -1/2 binary32))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta) (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))) 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))) cosTheta) (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))) c)) #s(literal -1/2 binary32))
(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))) cosTheta) (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))) c)) #s(literal -3/2 binary32)))
(expm1.f32 (log1p.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta) (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))) c)) #s(literal -1/2 binary32))))
(log1p.f32 (expm1.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta) (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))) 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))) cosTheta) (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))) c)) #s(literal -1/2 binary32))
(exp.f32 (*.f32 #s(literal -1/2 binary32) (log1p.f32 (fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta) (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))) c))))
(pow.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta) (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))) c)) #s(literal -1/2 binary32))
(exp.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (log1p.f32 (fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta) (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))) c))) #s(literal 1 binary32)))
(pow.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta) (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))) c)) #s(literal -1/2 binary32))

eval716.0ms (4.9%)

Compiler

Compiled 36955 to 27989 computations (24.3% saved)

prune211.0ms (1.5%)

Pruning

39 alts after pruning (38 fresh and 1 done)

PrunedKeptTotal
New75319772
Fresh161935
Picked415
Done000
Total77339812
Accuracy
100.0%
Counts
812 → 39
Alt Table
Click to see full alt table
StatusAccuracyProgram
95.0%
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) cosTheta)) #s(literal -1/2 binary32)) #s(literal 2 binary32))
44.9%
(pow.f32 (pow.f32 (exp.f32 (neg.f32 (log1p.f32 (+.f32 c (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (/.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32))) (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))))))))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
94.2%
(pow.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta) (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))) c)))) #s(literal 2 binary32))
96.3%
(pow.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 (fma.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))) (+.f32 #s(literal 1 binary32) c)))) #s(literal 3 binary32))
▶90.8%
(pow.f32 (*.f32 (sqrt.f32 cosTheta) (pow.f32 (PI.f32) #s(literal 1/4 binary32))) #s(literal 2 binary32))
97.3%
(pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))) (+.f32 #s(literal 1 binary32) c)))) #s(literal 2 binary32))
90.2%
(pow.f32 (cbrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (+.f32 #s(literal 1 binary32) c)))) #s(literal 3 binary32))
91.2%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
▶97.7%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
95.3%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
91.2%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
92.1%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
97.6%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
97.8%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (cbrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
97.6%
(/.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)))))
▶98.3%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 (PI.f32))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
97.8%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (*.f32 (cbrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (pow.f32 (PI.f32) #s(literal -1/6 binary32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
54.1%
(/.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)) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 2 binary32))))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
53.8%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (sqrt.f32 (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (pow.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
96.3%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1 binary32)))) cosTheta) (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (sqrt.f32 (PI.f32))) c)))
95.0%
(/.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 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))) cosTheta)))
91.4%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))
95.5%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (*.f32 (/.f32 cosTheta (-.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 (PI.f32)))) c)))
95.4%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (*.f32 cosTheta (*.f32 (+.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))))) c)))
97.7%
(/.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)))))))
94.8%
(/.f32 #s(literal 1 binary32) (+.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))))))
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 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))))
91.3%
(/.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))))))
57.9%
(/.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))))))))
▶11.1%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c))
✓5.0%
(/.f32 #s(literal 1 binary32) c)
94.1%
(*.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (cbrt.f32 (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)))))) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (cbrt.f32 (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))))))))
64.6%
(*.f32 (cbrt.f32 (pow.f32 (fma.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))) (+.f32 #s(literal 1 binary32) c)) #s(literal -2 binary32))) (/.f32 #s(literal 1 binary32) (cbrt.f32 (fma.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))) (+.f32 #s(literal 1 binary32) c)))))
58.0%
(*.f32 (cbrt.f32 (pow.f32 (fma.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (+.f32 #s(literal 1 binary32) c)) #s(literal -2 binary32))) (cbrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (+.f32 #s(literal 1 binary32) c)))))
95.9%
(*.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)))))))
91.5%
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (+.f32 (PI.f32) (*.f32 (PI.f32) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c))))))
92.6%
(*.f32 cosTheta (sqrt.f32 (PI.f32)))
58.0%
(sqrt.f32 (pow.f32 (fma.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (+.f32 #s(literal 1 binary32) c)) #s(literal -2 binary32)))
▶90.6%
(exp.f32 (neg.f32 (log1p.f32 (+.f32 c (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))))))
Compiler

Compiled 1899 to 1544 computations (18.7% saved)

localize1.9s (13%)

Localize:

Found 16 expressions with local error:

NewAccuracyProgram
✓99.6%
(log1p.f32 (+.f32 c (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))))
✓98.2%
(*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))
96.9%
(pow.f32 (PI.f32) #s(literal -1/2 binary32))
✓90.9%
(exp.f32 (neg.f32 (log1p.f32 (+.f32 c (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))))))
✓99.5%
(*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))))
✓99.0%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
✓98.1%
(/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))) cosTheta)
96.9%
(pow.f32 (PI.f32) #s(literal -1/2 binary32))
✓98.5%
(pow.f32 (*.f32 (sqrt.f32 cosTheta) (pow.f32 (PI.f32) #s(literal 1/4 binary32))) #s(literal 2 binary32))
✓98.4%
(*.f32 (sqrt.f32 cosTheta) (pow.f32 (PI.f32) #s(literal 1/4 binary32)))
✓96.9%
(pow.f32 (PI.f32) #s(literal 1/4 binary32))
✓99.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c))
✓99.8%
(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))
✓99.0%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 (PI.f32))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
✓99.0%
(*.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta))
✓99.0%
(*.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 (PI.f32))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta)))
Results
681.0ms256×256valid
Compiler

Compiled 479 to 317 computations (33.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 601.0ms
ival-pow: 198.0ms (32.9% of total)
ival-mult: 138.0ms (23% of total)
ival-sqrt: 61.0ms (10.2% of total)
ival-div: 46.0ms (7.7% of total)
ival-sub: 33.0ms (5.5% of total)
ival-exp: 32.0ms (5.3% of total)
ival-add: 27.0ms (4.5% of total)
composed: 19.0ms (3.2% of total)
ival-neg: 16.0ms (2.7% of total)
const: 14.0ms (2.3% of total)
ival-log: 13.0ms (2.2% of total)
ival-cbrt: 2.0ms (0.3% of total)
ival-pi: 1.0ms (0.2% of total)

series142.0ms (1%)

Counts
14 → 204
Calls
Call 1
Inputs
#<alt (*.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 (PI.f32))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta)))>
#<alt (*.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta))>
#<alt (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 (PI.f32))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))>
#<alt (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))>
#<alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c))>
#<alt (pow.f32 (PI.f32) #s(literal 1/4 binary32))>
#<alt (*.f32 (sqrt.f32 cosTheta) (pow.f32 (PI.f32) #s(literal 1/4 binary32)))>
#<alt (pow.f32 (*.f32 (sqrt.f32 cosTheta) (pow.f32 (PI.f32) #s(literal 1/4 binary32))) #s(literal 2 binary32))>
#<alt (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))) cosTheta)>
#<alt (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))>
#<alt (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))))>
#<alt (exp.f32 (neg.f32 (log1p.f32 (+.f32 c (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))))))>
#<alt (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))>
#<alt (log1p.f32 (+.f32 c (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))))>
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 (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)) (/.f32 #s(literal 1 binary32) cosTheta))>
#<alt (/.f32 (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)) cosTheta)) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32))) cosTheta)>
#<alt (/.f32 (+.f32 (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1 binary32) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32))) (*.f32 #s(literal -1/2 binary32) (*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)) cosTheta)))) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32))) cosTheta)>
#<alt (/.f32 (+.f32 (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1 binary32) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32))) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)) cosTheta)) (*.f32 #s(literal -1/2 binary32) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32))))))) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32))) cosTheta)>
#<alt (*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 #s(literal -2 binary32))))>
#<alt (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 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 (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 #s(literal -2 binary32)))))>
#<alt (+.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 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 (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 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 (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 #s(literal -2 binary32))))))>
#<alt (+.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 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 (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 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 (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 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 (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 #s(literal -2 binary32)))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 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 (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 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 (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 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 (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 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 (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 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 (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 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 (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 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 (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 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 (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 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 (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 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 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 c (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))))))>
#<alt (+.f32 (*.f32 c (-.f32 (/.f32 c (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))) #s(literal 2 binary32))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))))))>
#<alt (+.f32 (*.f32 c (-.f32 (*.f32 c (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 c (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))) #s(literal 4 binary32)))) (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))) #s(literal 3 binary32))))) (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))) #s(literal 2 binary32))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))))))>
#<alt (/.f32 #s(literal 1 binary32) c)>
#<alt (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))) c))) c)>
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#<alt (/.f32 #s(literal 1 binary32) c)>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))) (/.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32)) c))>
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#<alt (*.f32 cosTheta (sqrt.f32 (PI.f32)))>
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#<alt (*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) #s(literal 2 binary32)))) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))))>
#<alt (*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (-.f32 (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) #s(literal 2 binary32)))) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))) (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))) (*.f32 (PI.f32) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))) (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) #s(literal 2 binary32)))) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))))>
#<alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))))>
#<alt (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))) #s(literal 2 binary32)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32))))))))>
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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)))>
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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)))))>
#<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)))))))>
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#<alt #s(literal 1 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 #s(literal 1 binary32) c) #s(literal 1 binary32)) c)) #s(literal 1 binary32)) c)) #s(literal 1 binary32)) c))>
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#<alt (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (*.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/4 binary32)) (*.f32 (sqrt.f32 cosTheta) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (*.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/4 binary32)) (*.f32 (sqrt.f32 cosTheta) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)))))>
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#<alt (*.f32 #s(literal -1 binary32) (*.f32 (*.f32 cosTheta (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32))) (sqrt.f32 (PI.f32))))>
#<alt (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))>
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#<alt (+.f32 (*.f32 #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 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))) (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))) (+.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 7 binary32)) (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 5 binary32))))) (*.f32 #s(literal 1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32))))))))>
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#<alt (/.f32 #s(literal 1 binary32) c)>
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#<alt (/.f32 #s(literal 1 binary32) c)>
#<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)))>
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#<alt (*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) #s(literal 2 binary32)))) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))))>
#<alt (*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (-.f32 (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) #s(literal 2 binary32)))) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))) (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))) (*.f32 (PI.f32) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))) (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) #s(literal 2 binary32)))) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))))>
#<alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))))>
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#<alt (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))>
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#<alt (+.f32 (log.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))))))) (+.f32 (*.f32 #s(literal 1/24 binary32) (/.f32 (+.f32 (*.f32 #s(literal -3 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)) (+.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 -3 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 2 binary32))))))) (pow.f32 cosTheta #s(literal 4 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)) (+.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 (log.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))))))) (+.f32 (*.f32 #s(literal 1/720 binary32) (/.f32 (+.f32 (*.f32 #s(literal 30 binary32) (*.f32 (sqrt.f32 (/.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (/.f32 (pow.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 3 binary32)) (*.f32 (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))) #s(literal 3 binary32)))))) (+.f32 (*.f32 #s(literal 45 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)) (+.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 45 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 2 binary32)))))))) (pow.f32 cosTheta #s(literal 6 binary32)))) (+.f32 (*.f32 #s(literal 1/24 binary32) (/.f32 (+.f32 (*.f32 #s(literal -3 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)) (+.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 -3 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 2 binary32))))))) (pow.f32 cosTheta #s(literal 4 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)) (+.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 (log.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)))))))))>
#<alt (+.f32 (log.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))))))))) (*.f32 #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)) (+.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 (log.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))))))))) (+.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)) (+.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 1/24 binary32) (/.f32 (+.f32 (*.f32 #s(literal 3 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)) (+.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 3 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 2 binary32))))))) (pow.f32 cosTheta #s(literal 4 binary32))))))>
#<alt (+.f32 (log.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))))))))) (+.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)) (+.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 1/720 binary32) (/.f32 (+.f32 (*.f32 #s(literal -45 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)) (+.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 -30 binary32) (*.f32 (sqrt.f32 (/.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (/.f32 (*.f32 (pow.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 3 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 3 binary32)))))) (*.f32 #s(literal 45 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 #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)))))))) (pow.f32 cosTheta #s(literal 6 binary32)))) (*.f32 #s(literal 1/24 binary32) (/.f32 (+.f32 (*.f32 #s(literal 3 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)) (+.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 3 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 2 binary32))))))) (pow.f32 cosTheta #s(literal 4 binary32)))))))>
Calls

51 calls:

TimeVariablePointExpression
33.0ms
cosTheta
@0
(* (sqrt cosTheta) (pow (PI) 1/4))
18.0ms
cosTheta
@-inf
(exp (neg (log (+ 1 (+ c (* (pow (PI) -1/2) (* (/ (sqrt (- 1 (* cosTheta 2))) cosTheta) (exp (neg (pow cosTheta 2))))))))))
9.0ms
cosTheta
@inf
(* (pow (PI) -1/6) (/ (sqrt (- 1 (* cosTheta 2))) cosTheta))
8.0ms
cosTheta
@inf
(exp (neg (log (+ 1 (+ c (* (pow (PI) -1/2) (* (/ (sqrt (- 1 (* cosTheta 2))) cosTheta) (exp (neg (pow cosTheta 2))))))))))
6.0ms
cosTheta
@-inf
(/ 1 (+ (+ 1 c) (* (/ (* (pow (PI) -1/2) (sqrt (- 1 (* cosTheta 2)))) cosTheta) (exp (* (neg cosTheta) cosTheta)))))

rewrite109.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
367×log1p-expm1-u
367×expm1-log1p-u
360×add-exp-log
359×add-cube-cbrt
356×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
050688
1920646
Stop Event
1×node limit
Counts
14 → 307
Calls
Call 1
Inputs
(*.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 (PI.f32))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta)))
(*.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 (PI.f32))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c))
(pow.f32 (PI.f32) #s(literal 1/4 binary32))
(*.f32 (sqrt.f32 cosTheta) (pow.f32 (PI.f32) #s(literal 1/4 binary32)))
(pow.f32 (*.f32 (sqrt.f32 cosTheta) (pow.f32 (PI.f32) #s(literal 1/4 binary32))) #s(literal 2 binary32))
(/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))) cosTheta)
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))))
(exp.f32 (neg.f32 (log1p.f32 (+.f32 c (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))))))
(*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))
(log1p.f32 (+.f32 c (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))))
Outputs
(-.f32 (exp.f32 (log1p.f32 (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) #s(literal 3 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta)))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) #s(literal 3 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta)))
(*.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 (PI.f32))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta)))
(*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta)) (/.f32 #s(literal 1 binary32) (cbrt.f32 (PI.f32))))
(*.f32 (pow.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (cbrt.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta))) #s(literal 2 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (cbrt.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta))))
(*.f32 (sqrt.f32 (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) #s(literal 3 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta))) (sqrt.f32 (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) #s(literal 3 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta))))
(*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) #s(literal 3 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta))
(/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta)) (cbrt.f32 (PI.f32)))
(pow.f32 (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) #s(literal 3 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta)) #s(literal 1 binary32))
(pow.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (cbrt.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) #s(literal 3 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) #s(literal 3 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta))) #s(literal 2 binary32))
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(exp.f32 (*.f32 (log1p.f32 (fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta)) c)) #s(literal -1 binary32)))
(exp.f32 (*.f32 (neg.f32 (log1p.f32 (fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta)) c))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.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)))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta))))
(*.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta)))
(*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))
(*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta)) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))
(*.f32 (*.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))) (pow.f32 (PI.f32) #s(literal -1/2 binary32)))
(*.f32 (cbrt.f32 (pow.f32 (*.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.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)))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta)))))
(*.f32 (*.f32 (sqrt.f32 (*.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))) (pow.f32 (PI.f32) #s(literal -1/4 binary32))) (*.f32 (sqrt.f32 (*.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))) (pow.f32 (PI.f32) #s(literal -1/4 binary32))))
(/.f32 (*.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) (pow.f32 (PI.f32) #s(literal -1/2 binary32))) (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)))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.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)))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.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)))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (*.f32 (sqrt.f32 (*.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))) (pow.f32 (PI.f32) #s(literal -1/4 binary32))) #s(literal 2 binary32))
(log.f32 (pow.f32 (exp.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32))) (*.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta))))))
(cbrt.f32 (pow.f32 (*.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (*.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta)))))
(log1p.f32 (expm1.f32 (*.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta)))))
(exp.f32 (+.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (log.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta)))))
(exp.f32 (*.f32 (+.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (log.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta)))) #s(literal 1 binary32)))
(+.f32 #s(literal 0 binary32) (log1p.f32 (fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta)) c)))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta)) c))) #s(literal 2 binary32))) (log.f32 (cbrt.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta)) c)))))
(+.f32 (log.f32 (hypot.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta)) c)))) (log.f32 (hypot.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta)) c)))))
(-.f32 (exp.f32 (log1p.f32 (log1p.f32 (fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta)) c)))) #s(literal 1 binary32))
(-.f32 (log.f32 (-.f32 (pow.f32 (+.f32 #s(literal 1 binary32) c) #s(literal 2 binary32)) (pow.f32 (*.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta))) #s(literal 2 binary32)))) (log.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta))))))
(-.f32 (log.f32 (+.f32 (pow.f32 (+.f32 #s(literal 1 binary32) c) #s(literal 3 binary32)) (pow.f32 (*.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta))) #s(literal 3 binary32)))) (log.f32 (+.f32 (pow.f32 (+.f32 #s(literal 1 binary32) c) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta))) #s(literal 2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta))))))))
(*.f32 #s(literal 1 binary32) (log1p.f32 (fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta)) c)))
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 (fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta)) c))) #s(literal 2 binary32)) (cbrt.f32 (log1p.f32 (fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta)) c))))
(*.f32 (sqrt.f32 (log1p.f32 (fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta)) c))) (sqrt.f32 (log1p.f32 (fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta)) c))))
(pow.f32 (log1p.f32 (fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta)) c)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (log1p.f32 (fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta)) c))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (log1p.f32 (fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta)) c)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (log1p.f32 (fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta)) c))) #s(literal 2 binary32))
(log.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta)) c)))
(cbrt.f32 (pow.f32 (log1p.f32 (fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta)) c)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (log1p.f32 (fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta)) c))))
(log1p.f32 (fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta)) c))
(exp.f32 (log.f32 (log1p.f32 (fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta)) c))))
(exp.f32 (*.f32 (log.f32 (log1p.f32 (fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta)) c))) #s(literal 1 binary32)))

simplify284.0ms (2%)

Algorithm
1×egg-herbie
Rules
1088×distribute-lft-in
1064×distribute-rgt-in
932×*-commutative
736×times-frac
474×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0145358207
1425556725
Stop Event
1×node limit
Counts
511 → 585
Calls
Call 1
Inputs
(*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))
(/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) cosTheta)
(/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))) cosTheta)
(/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))) cosTheta)
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32)))
(+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -2 binary32))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32))))
(+.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32))))) (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -2 binary32))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32)))))
(+.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32))))) (+.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 7 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32))))) (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -2 binary32))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32))))))
(*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))))
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#s(literal 1 binary32)
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#s(literal 1 binary32)
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(/.f32 #s(literal 1 binary32) c)
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(/.f32 #s(literal 1 binary32) c)
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(*.f32 cosTheta (sqrt.f32 (PI.f32)))
(*.f32 cosTheta (sqrt.f32 (PI.f32)))
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(*.f32 cosTheta (sqrt.f32 (PI.f32)))
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(exp.f32 (neg.f32 (log1p.f32 (fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta)) c))))
(exp.f32 (*.f32 (log1p.f32 (fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta)) c)) #s(literal -1 binary32)))
(exp.f32 (*.f32 (neg.f32 (log1p.f32 (fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta)) c))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.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)))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta))))
(*.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta)))
(*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))
(*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta)) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))
(*.f32 (*.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))) (pow.f32 (PI.f32) #s(literal -1/2 binary32)))
(*.f32 (cbrt.f32 (pow.f32 (*.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.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)))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta)))))
(*.f32 (*.f32 (sqrt.f32 (*.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))) (pow.f32 (PI.f32) #s(literal -1/4 binary32))) (*.f32 (sqrt.f32 (*.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))) (pow.f32 (PI.f32) #s(literal -1/4 binary32))))
(/.f32 (*.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) (pow.f32 (PI.f32) #s(literal -1/2 binary32))) (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)))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.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)))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.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)))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (*.f32 (sqrt.f32 (*.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))) (pow.f32 (PI.f32) #s(literal -1/4 binary32))) #s(literal 2 binary32))
(log.f32 (pow.f32 (exp.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32))) (*.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta))))))
(cbrt.f32 (pow.f32 (*.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (*.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta)))))
(log1p.f32 (expm1.f32 (*.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta)))))
(exp.f32 (+.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (log.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta)))))
(exp.f32 (*.f32 (+.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (log.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta)))) #s(literal 1 binary32)))
(+.f32 #s(literal 0 binary32) (log1p.f32 (fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta)) c)))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta)) c))) #s(literal 2 binary32))) (log.f32 (cbrt.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta)) c)))))
(+.f32 (log.f32 (hypot.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta)) c)))) (log.f32 (hypot.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta)) c)))))
(-.f32 (exp.f32 (log1p.f32 (log1p.f32 (fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta)) c)))) #s(literal 1 binary32))
(-.f32 (log.f32 (-.f32 (pow.f32 (+.f32 #s(literal 1 binary32) c) #s(literal 2 binary32)) (pow.f32 (*.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta))) #s(literal 2 binary32)))) (log.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta))))))
(-.f32 (log.f32 (+.f32 (pow.f32 (+.f32 #s(literal 1 binary32) c) #s(literal 3 binary32)) (pow.f32 (*.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta))) #s(literal 3 binary32)))) (log.f32 (+.f32 (pow.f32 (+.f32 #s(literal 1 binary32) c) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta))) #s(literal 2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta))))))))
(*.f32 #s(literal 1 binary32) (log1p.f32 (fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta)) c)))
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 (fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta)) c))) #s(literal 2 binary32)) (cbrt.f32 (log1p.f32 (fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta)) c))))
(*.f32 (sqrt.f32 (log1p.f32 (fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta)) c))) (sqrt.f32 (log1p.f32 (fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta)) c))))
(pow.f32 (log1p.f32 (fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta)) c)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (log1p.f32 (fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta)) c))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (log1p.f32 (fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta)) c)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (log1p.f32 (fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta)) c))) #s(literal 2 binary32))
(log.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta)) c)))
(cbrt.f32 (pow.f32 (log1p.f32 (fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta)) c)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (log1p.f32 (fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta)) c))))
(log1p.f32 (fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta)) c))
(exp.f32 (log.f32 (log1p.f32 (fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta)) c))))
(exp.f32 (*.f32 (log.f32 (log1p.f32 (fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta)) c))) #s(literal 1 binary32)))
Outputs
(*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)
(/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) cosTheta)
(/.f32 (-.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 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 (*.f32 cosTheta #s(literal -1/2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) cosTheta)
(/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))) cosTheta)
(/.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))))) (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)))))
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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 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 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 #s(literal -1 binary32) (*.f32 (sqrt.f32 cosTheta) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))))
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#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) 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))))
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(/.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)
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(/.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 (+.f32 (/.f32 #s(literal -1 binary32) c) #s(literal 1 binary32)) c)
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(*.f32 #s(literal 2 binary32) (log.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) cosTheta)) c)))))
(-.f32 (exp.f32 (log1p.f32 (log1p.f32 (fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta)) c)))) #s(literal 1 binary32))
(expm1.f32 (log1p.f32 (log1p.f32 (fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) cosTheta)) c))))
(-.f32 (log.f32 (-.f32 (pow.f32 (+.f32 #s(literal 1 binary32) c) #s(literal 2 binary32)) (pow.f32 (*.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta))) #s(literal 2 binary32)))) (log.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta))))))
(-.f32 (log.f32 (-.f32 (pow.f32 (+.f32 #s(literal 1 binary32) c) #s(literal 2 binary32)) (pow.f32 (*.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) cosTheta))) #s(literal 2 binary32)))) (log1p.f32 (-.f32 c (*.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) cosTheta))))))
(-.f32 (log.f32 (+.f32 (pow.f32 (+.f32 #s(literal 1 binary32) c) #s(literal 3 binary32)) (pow.f32 (*.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta))) #s(literal 3 binary32)))) (log.f32 (+.f32 (pow.f32 (+.f32 #s(literal 1 binary32) c) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta))) #s(literal 2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta))))))))
(-.f32 (log.f32 (+.f32 (pow.f32 (*.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) cosTheta))) #s(literal 3 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) c) #s(literal 3 binary32)))) (log.f32 (+.f32 (pow.f32 (+.f32 #s(literal 1 binary32) c) #s(literal 2 binary32)) (+.f32 (pow.f32 (*.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) cosTheta))) #s(literal 2 binary32)) (*.f32 (-.f32 #s(literal -1 binary32) c) (*.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) cosTheta))))))))
(*.f32 #s(literal 1 binary32) (log1p.f32 (fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta)) c)))
(log1p.f32 (fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) cosTheta)) c))
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 (fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta)) c))) #s(literal 2 binary32)) (cbrt.f32 (log1p.f32 (fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta)) c))))
(log1p.f32 (fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) cosTheta)) c))
(*.f32 (sqrt.f32 (log1p.f32 (fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta)) c))) (sqrt.f32 (log1p.f32 (fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta)) c))))
(log1p.f32 (fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) cosTheta)) c))
(pow.f32 (log1p.f32 (fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta)) c)) #s(literal 1 binary32))
(log1p.f32 (fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) cosTheta)) c))
(pow.f32 (cbrt.f32 (log1p.f32 (fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta)) c))) #s(literal 3 binary32))
(log1p.f32 (fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) cosTheta)) c))
(pow.f32 (pow.f32 (log1p.f32 (fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta)) c)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(log1p.f32 (fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) cosTheta)) c))
(pow.f32 (sqrt.f32 (log1p.f32 (fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta)) c))) #s(literal 2 binary32))
(log1p.f32 (fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) cosTheta)) c))
(log.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta)) c)))
(log1p.f32 (fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) cosTheta)) c))
(cbrt.f32 (pow.f32 (log1p.f32 (fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta)) c)) #s(literal 3 binary32)))
(log1p.f32 (fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) cosTheta)) c))
(expm1.f32 (log1p.f32 (log1p.f32 (fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta)) c))))
(expm1.f32 (log1p.f32 (log1p.f32 (fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) cosTheta)) c))))
(log1p.f32 (fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta)) c))
(log1p.f32 (fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) cosTheta)) c))
(exp.f32 (log.f32 (log1p.f32 (fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta)) c))))
(log1p.f32 (fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) cosTheta)) c))
(exp.f32 (*.f32 (log.f32 (log1p.f32 (fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta)) c))) #s(literal 1 binary32)))
(log1p.f32 (fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) cosTheta)) c))

eval655.0ms (4.5%)

Compiler

Compiled 34152 to 25883 computations (24.2% saved)

prune197.0ms (1.4%)

Pruning

41 alts after pruning (40 fresh and 1 done)

PrunedKeptTotal
New78318801
Fresh112233
Picked415
Done101
Total79941840
Accuracy
100.0%
Counts
840 → 41
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.5%
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta)) c)) #s(literal -1/2 binary32)) #s(literal 2 binary32))
95.0%
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) cosTheta)) #s(literal -1/2 binary32)) #s(literal 2 binary32))
42.0%
(pow.f32 (pow.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
44.9%
(pow.f32 (pow.f32 (exp.f32 (neg.f32 (log1p.f32 (+.f32 c (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (/.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32))) (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))))))))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
96.3%
(pow.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 (fma.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))) (+.f32 #s(literal 1 binary32) c)))) #s(literal 3 binary32))
91.3%
(pow.f32 (*.f32 (sqrt.f32 cosTheta) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/8 binary32)) #s(literal 2 binary32))) #s(literal 2 binary32))
96.9%
(pow.f32 (sqrt.f32 (fma.f32 (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) #s(literal 3 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta)) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))) #s(literal -2 binary32))
92.0%
(pow.f32 (sqrt.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32)))) #s(literal 2 binary32))
91.4%
(pow.f32 (cbrt.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32)))) #s(literal 3 binary32))
▶98.5%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))) cosTheta) (cbrt.f32 (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
91.2%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
95.3%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
▶96.7%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1/2 binary32))) #s(literal 1 binary32))))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
96.3%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1 binary32))))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
97.7%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (*.f32 (/.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (cbrt.f32 (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
97.5%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 cosTheta (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) (pow.f32 (PI.f32) #s(literal -1/2 binary32))))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
92.1%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
92.1%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 (PI.f32))) (/.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
▶91.9%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 (PI.f32))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (/.f32 #s(literal 1 binary32) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
54.1%
(/.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)) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 2 binary32))))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
53.8%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (sqrt.f32 (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (pow.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
96.3%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1 binary32)))) cosTheta) (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (sqrt.f32 (PI.f32))) c)))
95.0%
(/.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 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))) cosTheta)))
91.4%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))
95.5%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (*.f32 (/.f32 cosTheta (-.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 (PI.f32)))) c)))
95.4%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (*.f32 cosTheta (*.f32 (+.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))))) c)))
94.8%
(/.f32 #s(literal 1 binary32) (+.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))))))
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 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))))
91.3%
(/.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))))))
57.9%
(/.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))))))))
✓11.1%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c))
▶11.1%
(-.f32 #s(literal 1 binary32) c)
91.3%
(*.f32 (pow.f32 (cbrt.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32)))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32)))))
94.1%
(*.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (cbrt.f32 (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)))))) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (cbrt.f32 (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))))))))
92.6%
(*.f32 (sqrt.f32 (PI.f32)) cosTheta)
64.6%
(*.f32 (cbrt.f32 (pow.f32 (fma.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))) (+.f32 #s(literal 1 binary32) c)) #s(literal -2 binary32))) (/.f32 #s(literal 1 binary32) (cbrt.f32 (fma.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))) (+.f32 #s(literal 1 binary32) c)))))
58.0%
(*.f32 (cbrt.f32 (pow.f32 (fma.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (+.f32 #s(literal 1 binary32) c)) #s(literal -2 binary32))) (cbrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (+.f32 #s(literal 1 binary32) c)))))
95.9%
(*.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)))))))
91.5%
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (+.f32 (PI.f32) (*.f32 (PI.f32) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c))))))
58.0%
(sqrt.f32 (pow.f32 (fma.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (+.f32 #s(literal 1 binary32) c)) #s(literal -2 binary32)))
▶90.4%
(exp.f32 (neg.f32 (log1p.f32 (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)))))
Compiler

Compiled 1883 to 1530 computations (18.7% saved)

localize866.0ms (6%)

Localize:

Found 16 expressions with local error:

NewAccuracyProgram
✓99.6%
(log1p.f32 (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)))
✓98.4%
(*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta))
✓97.7%
(sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32)))
✓90.9%
(exp.f32 (neg.f32 (log1p.f32 (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)))))
✓99.9%
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 (PI.f32))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (/.f32 #s(literal 1 binary32) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))
✓99.0%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 (PI.f32))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (/.f32 #s(literal 1 binary32) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
✓99.0%
(*.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (/.f32 #s(literal 1 binary32) cosTheta))
✓98.8%
(*.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 (PI.f32))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (/.f32 #s(literal 1 binary32) cosTheta)))
✓99.5%
(*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1/2 binary32))) #s(literal 1 binary32)))))
✓99.0%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1/2 binary32))) #s(literal 1 binary32))))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
✓98.1%
(/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1/2 binary32))) #s(literal 1 binary32))))) cosTheta)
96.9%
(pow.f32 (PI.f32) #s(literal -1/2 binary32))
99.8%
(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))
✓99.4%
(/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))) cosTheta)
✓99.1%
(/.f32 (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))) cosTheta) (cbrt.f32 (PI.f32)))
✓99.0%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))) cosTheta) (cbrt.f32 (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
Results
656.0ms256×256valid
Compiler

Compiled 579 to 365 computations (37% saved)

Precisions
Click to see histograms. Total time spent on operations: 574.0ms
ival-pow: 162.0ms (28.2% of total)
ival-mult: 141.0ms (24.5% of total)
ival-div: 70.0ms (12.2% of total)
ival-sub: 43.0ms (7.5% of total)
ival-exp: 37.0ms (6.4% of total)
ival-add: 35.0ms (6.1% of total)
ival-sqrt: 23.0ms (4% of total)
composed: 20.0ms (3.5% of total)
const: 17.0ms (3% of total)
ival-log: 13.0ms (2.3% of total)
ival-neg: 12.0ms (2.1% of total)
ival-cbrt: 2.0ms (0.3% of total)
ival-pi: 1.0ms (0.2% of total)

series115.0ms (0.8%)

Counts
14 → 204
Calls
Call 1
Inputs
#<alt (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))) cosTheta) (cbrt.f32 (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))>
#<alt (/.f32 (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))) cosTheta) (cbrt.f32 (PI.f32)))>
#<alt (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))) cosTheta)>
#<alt (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1/2 binary32))) #s(literal 1 binary32))))) cosTheta)>
#<alt (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1/2 binary32))) #s(literal 1 binary32))))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))>
#<alt (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1/2 binary32))) #s(literal 1 binary32)))))>
#<alt (*.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 (PI.f32))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (/.f32 #s(literal 1 binary32) cosTheta)))>
#<alt (*.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (/.f32 #s(literal 1 binary32) cosTheta))>
#<alt (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 (PI.f32))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (/.f32 #s(literal 1 binary32) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))>
#<alt (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 (PI.f32))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (/.f32 #s(literal 1 binary32) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))>
#<alt (exp.f32 (neg.f32 (log1p.f32 (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)))))>
#<alt (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32)))>
#<alt (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta))>
#<alt (log1p.f32 (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)))>
Outputs
#<alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 c (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))))))>
#<alt (+.f32 (*.f32 c (-.f32 (/.f32 c (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))) #s(literal 2 binary32))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))))))>
#<alt (+.f32 (*.f32 c (-.f32 (*.f32 c (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 c (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))) #s(literal 4 binary32)))) (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))) #s(literal 3 binary32))))) (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))) #s(literal 2 binary32))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))))))>
#<alt (/.f32 #s(literal 1 binary32) c)>
#<alt (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))) c))) c)>
#<alt (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))) #s(literal 2 binary32)) (pow.f32 c #s(literal 2 binary32)))) (+.f32 (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))) (/.f32 #s(literal 1 binary32) c))) c)>
#<alt (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))) #s(literal 3 binary32)) (pow.f32 c #s(literal 3 binary32))))) (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))) #s(literal 2 binary32)) (pow.f32 c #s(literal 2 binary32)))) (+.f32 (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))) (/.f32 #s(literal 1 binary32) c)))) c)>
#<alt (/.f32 #s(literal 1 binary32) c)>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))) (/.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32)) c))>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))) #s(literal 2 binary32)) c) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))))) c)) #s(literal 1 binary32)) c))>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))) #s(literal 3 binary32)) c) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))) #s(literal 2 binary32))) c)) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))))) c)) #s(literal 1 binary32)) c))>
#<alt (*.f32 cosTheta (sqrt.f32 (PI.f32)))>
#<alt (*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))))>
#<alt (*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) #s(literal 2 binary32)))) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))))>
#<alt (*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (-.f32 (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) #s(literal 2 binary32)))) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))) (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))) (*.f32 (PI.f32) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))) (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) #s(literal 2 binary32)))) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))))>
#<alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))))>
#<alt (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))) #s(literal 2 binary32)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32))))))))>
#<alt (-.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1/4 binary32) (/.f32 (*.f32 cosTheta (pow.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32))) (*.f32 (PI.f32) (*.f32 (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))) #s(literal 3 binary32)))))) (*.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32))) (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))) #s(literal 2 binary32))))))) (pow.f32 cosTheta #s(literal 4 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))))) (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))) #s(literal 2 binary32)))))))>
#<alt (-.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 cosTheta (PI.f32))) (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 (*.f32 #s(literal -1/4 binary32) (/.f32 (*.f32 cosTheta (pow.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32))) (*.f32 (PI.f32) (*.f32 (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))) #s(literal 3 binary32)))))) (*.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32))) (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))) #s(literal 2 binary32)))))))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))))))) (+.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 (sqrt.f32 (/.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32))) (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))) #s(literal 2 binary32)))))) (*.f32 #s(literal 1/16 binary32) (/.f32 (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (pow.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32))) (*.f32 (PI.f32) (*.f32 (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 4 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))) #s(literal 3 binary32)))))))) (pow.f32 cosTheta #s(literal 6 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))))) (+.f32 (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (*.f32 (PI.f32) (*.f32 (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))) #s(literal 3 binary32))))))) (+.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 3 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))) #s(literal 2 binary32)))))) (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -2 binary32)))))) #s(literal 2 binary32)))))))))>
#<alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))))))))>
#<alt (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))))))) #s(literal 2 binary32)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))))))))>
#<alt (-.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 (sqrt.f32 (/.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32))) (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))))))) #s(literal 2 binary32)))))) (*.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 cosTheta (pow.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32))) (*.f32 (PI.f32) (*.f32 (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))))))) #s(literal 3 binary32))))))) (pow.f32 cosTheta #s(literal 4 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))))))))) (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))))))) #s(literal 2 binary32)))))))>
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#<alt (*.f32 cosTheta (sqrt.f32 (PI.f32)))>
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#<alt (*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (PI.f32))) (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) c) #s(literal 2 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 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (PI.f32))) (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) c) #s(literal 2 binary32)))))))) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) c))))) (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (PI.f32))) (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) 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))>
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#<alt (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c)) (/.f32 (pow.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (pow.f32 (+.f32 #s(literal 1 binary32) c) #s(literal 3 binary32)))))) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 cosTheta (pow.f32 (+.f32 #s(literal 1 binary32) c) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))>
#<alt (-.f32 (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 (pow.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 3 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) 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 #s(literal 1 binary32) c))) (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (pow.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 2 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (PI.f32) (pow.f32 (+.f32 #s(literal 1 binary32) c) #s(literal 3 binary32)))))) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 cosTheta (pow.f32 (+.f32 #s(literal 1 binary32) 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))>
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#<alt (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))>
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#<alt (+.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 #s(literal -1 binary32) (log.f32 cosTheta)))>
#<alt (+.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (+.f32 (*.f32 #s(literal -1 binary32) (log.f32 cosTheta)) (*.f32 (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (sqrt.f32 (PI.f32)))))>
#<alt (+.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (+.f32 (*.f32 #s(literal -1 binary32) (log.f32 cosTheta)) (*.f32 cosTheta (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (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 #s(literal 2 binary32) (*.f32 (sqrt.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 (sqrt.f32 (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))))>
#<alt (+.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (+.f32 (*.f32 #s(literal -1 binary32) (log.f32 cosTheta)) (*.f32 cosTheta (+.f32 (*.f32 cosTheta (+.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -6 binary32) (*.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) (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 2 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 3 binary32)))) (*.f32 #s(literal 6 binary32) (*.f32 (sqrt.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 #s(literal 1/2 binary32) (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (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 #s(literal 2 binary32) (*.f32 (sqrt.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 (sqrt.f32 (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))))>
#<alt (log.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))))))>
#<alt (+.f32 (log.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)))))) (*.f32 #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)) (+.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 (log.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)))))) (+.f32 (*.f32 #s(literal 1/24 binary32) (/.f32 (+.f32 (*.f32 #s(literal -3 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)) (+.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 -3 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 2 binary32))))))) (pow.f32 cosTheta #s(literal 4 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)) (+.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 (log.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)))))) (+.f32 (*.f32 #s(literal 1/720 binary32) (/.f32 (+.f32 (*.f32 #s(literal 30 binary32) (*.f32 (sqrt.f32 (/.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (/.f32 (pow.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 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)))) (sqrt.f32 #s(literal -2 binary32))))) #s(literal 3 binary32)))))) (+.f32 (*.f32 #s(literal 45 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)) (+.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 45 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 2 binary32)))))))) (pow.f32 cosTheta #s(literal 6 binary32)))) (+.f32 (*.f32 #s(literal 1/24 binary32) (/.f32 (+.f32 (*.f32 #s(literal -3 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)) (+.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 -3 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 2 binary32))))))) (pow.f32 cosTheta #s(literal 4 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)) (+.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 (log.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 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))))))>
#<alt (+.f32 (log.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 (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)) (+.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 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))))))))))>
#<alt (+.f32 (log.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 (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)) (+.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 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))))))))) (*.f32 #s(literal 1/24 binary32) (/.f32 (+.f32 (*.f32 #s(literal 3 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)) (+.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 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))))))))) (*.f32 #s(literal 3 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 #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))))))) (pow.f32 cosTheta #s(literal 4 binary32))))))>
#<alt (+.f32 (log.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 (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)) (+.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 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))))))))) (+.f32 (*.f32 #s(literal 1/720 binary32) (/.f32 (+.f32 (*.f32 #s(literal -45 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)) (+.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 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))))))))) (+.f32 (*.f32 #s(literal -30 binary32) (*.f32 (sqrt.f32 (/.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (/.f32 (*.f32 (pow.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) #s(literal 3 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 (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)))))) (*.f32 #s(literal 45 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 #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)))))))) (pow.f32 cosTheta #s(literal 6 binary32)))) (*.f32 #s(literal 1/24 binary32) (/.f32 (+.f32 (*.f32 #s(literal 3 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)) (+.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 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))))))))) (*.f32 #s(literal 3 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 #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))))))) (pow.f32 cosTheta #s(literal 4 binary32)))))))>
Calls

51 calls:

TimeVariablePointExpression
18.0ms
cosTheta
@0
(* (pow (PI) -1/6) (/ 1 cosTheta))
9.0ms
cosTheta
@-inf
(/ (/ (* (pow (PI) -1/6) (sqrt (- 1 (* cosTheta 2)))) cosTheta) (cbrt (PI)))
7.0ms
cosTheta
@-inf
(exp (neg (log (+ 1 (* (sqrt (/ (- 1 (* cosTheta 2)) (PI))) (/ (exp (neg (pow cosTheta 2))) cosTheta))))))
6.0ms
cosTheta
@inf
(exp (neg (log (+ 1 (* (sqrt (/ (- 1 (* cosTheta 2)) (PI))) (/ (exp (neg (pow cosTheta 2))) cosTheta))))))
5.0ms
cosTheta
@inf
(* (pow (PI) -1/6) (/ 1 cosTheta))

rewrite119.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
493×log1p-expm1-u
493×expm1-log1p-u
481×add-exp-log
480×add-log-exp
474×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
058814
11129790
Stop Event
1×node limit
Counts
14 → 303
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))) cosTheta) (cbrt.f32 (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))) cosTheta) (cbrt.f32 (PI.f32)))
(/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))) cosTheta)
(/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1/2 binary32))) #s(literal 1 binary32))))) cosTheta)
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1/2 binary32))) #s(literal 1 binary32))))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1/2 binary32))) #s(literal 1 binary32)))))
(*.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 (PI.f32))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (/.f32 #s(literal 1 binary32) cosTheta)))
(*.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (/.f32 #s(literal 1 binary32) cosTheta))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 (PI.f32))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (/.f32 #s(literal 1 binary32) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 (PI.f32))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (/.f32 #s(literal 1 binary32) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))
(exp.f32 (neg.f32 (log1p.f32 (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.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 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta))
(log1p.f32 (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)))
Outputs
(-.f32 (exp.f32 (log1p.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))) (*.f32 (cbrt.f32 (PI.f32)) cosTheta)) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))) (*.f32 (cbrt.f32 (PI.f32)) cosTheta)) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))))
(*.f32 (cbrt.f32 (pow.f32 (fma.f32 (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))) (*.f32 (cbrt.f32 (PI.f32)) cosTheta)) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c)) #s(literal -2 binary32))) (/.f32 #s(literal 1 binary32) (cbrt.f32 (fma.f32 (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))) (*.f32 (cbrt.f32 (PI.f32)) cosTheta)) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c)))))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))) (*.f32 (cbrt.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 (*.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))) (*.f32 (cbrt.f32 (PI.f32)) cosTheta)) (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 (*.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))) (*.f32 (cbrt.f32 (PI.f32)) cosTheta)) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))) #s(literal 2 binary32)) #s(literal -1 binary32)) (pow.f32 (cbrt.f32 (fma.f32 (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))) (*.f32 (cbrt.f32 (PI.f32)) cosTheta)) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))) #s(literal -1 binary32)))
(*.f32 (pow.f32 (sqrt.f32 (fma.f32 (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))) (*.f32 (cbrt.f32 (PI.f32)) cosTheta)) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))) #s(literal -1 binary32)) (pow.f32 (sqrt.f32 (fma.f32 (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))) (*.f32 (cbrt.f32 (PI.f32)) cosTheta)) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))) #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))) (*.f32 (cbrt.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 (fma.f32 (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))) (*.f32 (cbrt.f32 (PI.f32)) cosTheta)) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32)))
(/.f32 #s(literal -1 binary32) (neg.f32 (fma.f32 (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))) (*.f32 (cbrt.f32 (PI.f32)) cosTheta)) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))))
(pow.f32 (fma.f32 (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))) (*.f32 (cbrt.f32 (PI.f32)) cosTheta)) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c)) #s(literal -1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))) (*.f32 (cbrt.f32 (PI.f32)) cosTheta)) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))) #s(literal 1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 (fma.f32 (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))) (*.f32 (cbrt.f32 (PI.f32)) cosTheta)) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))) (*.f32 (cbrt.f32 (PI.f32)) cosTheta)) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))) (*.f32 (cbrt.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 (/.f32 (fma.f32 (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))) (*.f32 (cbrt.f32 (PI.f32)) cosTheta)) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32)) #s(literal -1 binary32))
(log.f32 (exp.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))) (*.f32 (cbrt.f32 (PI.f32)) cosTheta)) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))) (*.f32 (cbrt.f32 (PI.f32)) cosTheta)) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))))))
(cbrt.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))) (*.f32 (cbrt.f32 (PI.f32)) cosTheta)) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))) (*.f32 (cbrt.f32 (PI.f32)) cosTheta)) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c)))))
(log1p.f32 (expm1.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))) (*.f32 (cbrt.f32 (PI.f32)) cosTheta)) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c)))))
(exp.f32 (neg.f32 (log1p.f32 (+.f32 c (*.f32 (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))) (*.f32 (cbrt.f32 (PI.f32)) cosTheta)) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))))))
(exp.f32 (*.f32 (log1p.f32 (+.f32 c (*.f32 (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))) (*.f32 (cbrt.f32 (PI.f32)) cosTheta)) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))) #s(literal -1 binary32)))
(exp.f32 (*.f32 (neg.f32 (log1p.f32 (+.f32 c (*.f32 (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))) (*.f32 (cbrt.f32 (PI.f32)) cosTheta)) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))) (*.f32 (cbrt.f32 (PI.f32)) cosTheta)))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))) (*.f32 (cbrt.f32 (PI.f32)) cosTheta)))
(*.f32 (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))) cosTheta) (/.f32 #s(literal 1 binary32) (cbrt.f32 (PI.f32))))
(*.f32 (pow.f32 (cbrt.f32 (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))) (*.f32 (cbrt.f32 (PI.f32)) cosTheta))) #s(literal 2 binary32)) (cbrt.f32 (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))) (*.f32 (cbrt.f32 (PI.f32)) cosTheta))))
(*.f32 (sqrt.f32 (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))) (*.f32 (cbrt.f32 (PI.f32)) cosTheta))) (sqrt.f32 (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))) (*.f32 (cbrt.f32 (PI.f32)) cosTheta))))
(/.f32 #s(literal 1 binary32) (/.f32 (cbrt.f32 (PI.f32)) (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))) cosTheta)))
(/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))) (*.f32 (cbrt.f32 (PI.f32)) cosTheta))
(/.f32 (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))) cosTheta) (cbrt.f32 (PI.f32)))
(/.f32 (neg.f32 (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))) cosTheta)) (neg.f32 (cbrt.f32 (PI.f32))))
(pow.f32 (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))) (*.f32 (cbrt.f32 (PI.f32)) cosTheta)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))) (*.f32 (cbrt.f32 (PI.f32)) cosTheta))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))) (*.f32 (cbrt.f32 (PI.f32)) cosTheta)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))) (*.f32 (cbrt.f32 (PI.f32)) cosTheta))) #s(literal 2 binary32))
(pow.f32 (/.f32 (cbrt.f32 (PI.f32)) (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))) cosTheta)) #s(literal -1 binary32))
(log.f32 (exp.f32 (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))) (*.f32 (cbrt.f32 (PI.f32)) cosTheta))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))) (*.f32 (cbrt.f32 (PI.f32)) cosTheta)))))
(cbrt.f32 (pow.f32 (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))) (*.f32 (cbrt.f32 (PI.f32)) cosTheta)) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))) cosTheta) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 (PI.f32))) #s(literal 3 binary32))))
(cbrt.f32 (/.f32 (pow.f32 (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))) cosTheta) #s(literal 3 binary32)) (PI.f32)))
(expm1.f32 (log1p.f32 (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))) (*.f32 (cbrt.f32 (PI.f32)) cosTheta))))
(log1p.f32 (expm1.f32 (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))) (*.f32 (cbrt.f32 (PI.f32)) cosTheta))))
(exp.f32 (log.f32 (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))) (*.f32 (cbrt.f32 (PI.f32)) cosTheta))))
(exp.f32 (*.f32 (log.f32 (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))) (*.f32 (cbrt.f32 (PI.f32)) cosTheta))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))) cosTheta))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))) cosTheta))
(*.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta))
(*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))) (/.f32 #s(literal 1 binary32) cosTheta))
(*.f32 (pow.f32 (cbrt.f32 (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))) cosTheta)) #s(literal 2 binary32)) (cbrt.f32 (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))) cosTheta)))
(*.f32 (sqrt.f32 (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))) cosTheta)) (sqrt.f32 (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))) cosTheta)))
(/.f32 #s(literal 1 binary32) (/.f32 cosTheta (*.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))))))
(/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))) cosTheta)
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(*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta))
(*.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 (pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta))))
(*.f32 (sqrt.f32 (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta))) (sqrt.f32 (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta))))
(/.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)
(pow.f32 (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.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 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta))) #s(literal 2 binary32))
(log.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32)))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)))))
(cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32)) #s(literal 3/2 binary32)) (pow.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) #s(literal 3 binary32)) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32)) #s(literal 3/2 binary32))))
(expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta))))
(log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta))))
(exp.f32 (+.f32 (log.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32)))) (-.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (log.f32 cosTheta))))
(exp.f32 (*.f32 (+.f32 (log.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32)))) (-.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (log.f32 cosTheta))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (log1p.f32 (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 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) (log1p.f32 (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta))))
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)))) #s(literal 2 binary32)) (cbrt.f32 (log1p.f32 (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)))))
(*.f32 (sqrt.f32 (log1p.f32 (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)))) (sqrt.f32 (log1p.f32 (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)))))
(pow.f32 (log1p.f32 (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (log1p.f32 (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (log1p.f32 (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.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 (log1p.f32 (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)))) #s(literal 2 binary32))
(log.f32 (+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta))))
(cbrt.f32 (pow.f32 (log1p.f32 (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (log1p.f32 (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)))))
(log1p.f32 (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)))
(exp.f32 (log.f32 (log1p.f32 (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)))))
(exp.f32 (*.f32 (log.f32 (log1p.f32 (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)))) #s(literal 1 binary32)))

simplify376.0ms (2.6%)

Algorithm
1×egg-herbie
Rules
1374×distribute-lft-in
1084×*-commutative
890×times-frac
498×+-commutative
394×sub-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0163354593
1489453035
Stop Event
1×node limit
Counts
507 → 639
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))))
(+.f32 (*.f32 #s(literal -1 binary32) (/.f32 c (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))))))
(+.f32 (*.f32 c (-.f32 (/.f32 c (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))) #s(literal 2 binary32))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))))))
(+.f32 (*.f32 c (-.f32 (*.f32 c (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 c (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))) #s(literal 4 binary32)))) (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))) #s(literal 3 binary32))))) (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))) #s(literal 2 binary32))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))))))
(/.f32 #s(literal 1 binary32) c)
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))) c))) c)
(/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))) #s(literal 2 binary32)) (pow.f32 c #s(literal 2 binary32)))) (+.f32 (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))) (/.f32 #s(literal 1 binary32) c))) c)
(/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))) #s(literal 3 binary32)) (pow.f32 c #s(literal 3 binary32))))) (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))) #s(literal 2 binary32)) (pow.f32 c #s(literal 2 binary32)))) (+.f32 (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))) (/.f32 #s(literal 1 binary32) c)))) c)
(/.f32 #s(literal 1 binary32) c)
(*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))) (/.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32)) c))
(*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))) #s(literal 2 binary32)) c) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))))) c)) #s(literal 1 binary32)) c))
(*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))) #s(literal 3 binary32)) c) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))) #s(literal 2 binary32))) c)) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))))) c)) #s(literal 1 binary32)) c))
(*.f32 cosTheta (sqrt.f32 (PI.f32)))
(*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))))
(*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) #s(literal 2 binary32)))) (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))))
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(cbrt.f32 (pow.f32 (log1p.f32 (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (log1p.f32 (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)))))
(log1p.f32 (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)))
(exp.f32 (log.f32 (log1p.f32 (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)))))
(exp.f32 (*.f32 (log.f32 (log1p.f32 (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)))) #s(literal 1 binary32)))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))))
(exp.f32 (neg.f32 (log1p.f32 (*.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)))))
(+.f32 (*.f32 #s(literal -1 binary32) (/.f32 c (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))))))
(-.f32 (exp.f32 (neg.f32 (log1p.f32 (*.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta))))) (/.f32 c (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta))) #s(literal 2 binary32))))
(+.f32 (*.f32 c (-.f32 (/.f32 c (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))) #s(literal 2 binary32))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))))))
(fma.f32 c (+.f32 (/.f32 c (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta))) #s(literal 3 binary32))) (/.f32 #s(literal -1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta))) #s(literal 2 binary32)))) (exp.f32 (neg.f32 (log1p.f32 (*.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta))))))
(+.f32 (*.f32 c (-.f32 (*.f32 c (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 c (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))) #s(literal 4 binary32)))) (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))) #s(literal 3 binary32))))) (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))) #s(literal 2 binary32))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))))))
(fma.f32 c (fma.f32 c (-.f32 (pow.f32 (exp.f32 (neg.f32 (log1p.f32 (*.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta))))) #s(literal 3 binary32)) (/.f32 c (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta))) #s(literal 4 binary32)))) (/.f32 #s(literal -1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta))) #s(literal 2 binary32)))) (exp.f32 (neg.f32 (log1p.f32 (*.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta))))))
(/.f32 #s(literal 1 binary32) c)
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))) c))) c)
(/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta))) c)) c)
(/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))) #s(literal 2 binary32)) (pow.f32 c #s(literal 2 binary32)))) (+.f32 (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))) (/.f32 #s(literal 1 binary32) c))) c)
(/.f32 (+.f32 #s(literal 1 binary32) (-.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta))) #s(literal 2 binary32)) (pow.f32 c #s(literal 2 binary32))) (fma.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 cosTheta c)) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (/.f32 #s(literal 1 binary32) c)))) c)
(/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))) #s(literal 3 binary32)) (pow.f32 c #s(literal 3 binary32))))) (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))) #s(literal 2 binary32)) (pow.f32 c #s(literal 2 binary32)))) (+.f32 (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))) (/.f32 #s(literal 1 binary32) c)))) c)
(/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta))) #s(literal 3 binary32)) (pow.f32 c #s(literal 3 binary32)))) (-.f32 (fma.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 cosTheta c)) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (/.f32 #s(literal 1 binary32) c)) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta))) #s(literal 2 binary32)) (pow.f32 c #s(literal 2 binary32))))) c)
(/.f32 #s(literal 1 binary32) c)
(*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 c cosTheta)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))) (/.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32)) c))
(/.f32 (+.f32 (fma.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 cosTheta c)) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (/.f32 #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 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))) #s(literal 2 binary32)) c) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))))) c)) #s(literal 1 binary32)) c))
(/.f32 (+.f32 (/.f32 (-.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta))) #s(literal 2 binary32)) c) (+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)))) (neg.f32 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 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))) #s(literal 3 binary32)) c) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))) #s(literal 2 binary32))) c)) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))))) c)) #s(literal 1 binary32)) c))
(/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta))) #s(literal 3 binary32)) c) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta))) #s(literal 2 binary32))) (neg.f32 c)) (+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)))) c) #s(literal -1 binary32)) (neg.f32 c))
(*.f32 cosTheta (sqrt.f32 (PI.f32)))
(*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))))
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (+.f32 (PI.f32) (*.f32 (PI.f32) (-.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 (-.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 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal 2 binary32)))) (neg.f32 cosTheta)) (+.f32 (PI.f32) (*.f32 (PI.f32) (-.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)))))))))))
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(cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)) #s(literal 3 binary32)))
(*.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32)) #s(literal 3/2 binary32)) (pow.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 3/2 binary32)) (pow.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) #s(literal 3 binary32)) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32)) #s(literal 3/2 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 3/2 binary32)) (pow.f32 (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta))))
(expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta))))
(log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta))))
(*.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta))
(exp.f32 (+.f32 (log.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32)))) (-.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (log.f32 cosTheta))))
(*.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (exp.f32 (-.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (log.f32 cosTheta))))
(exp.f32 (*.f32 (+.f32 (log.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32)))) (-.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (log.f32 cosTheta))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (exp.f32 (-.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (log.f32 cosTheta))))
(-.f32 (exp.f32 (log1p.f32 (log1p.f32 (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta))))) #s(literal 1 binary32))
(expm1.f32 (log1p.f32 (log1p.f32 (*.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)))))
(*.f32 #s(literal 1 binary32) (log1p.f32 (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta))))
(log1p.f32 (*.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)))
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)))) #s(literal 2 binary32)) (cbrt.f32 (log1p.f32 (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)))))
(log1p.f32 (*.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)))
(*.f32 (sqrt.f32 (log1p.f32 (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)))) (sqrt.f32 (log1p.f32 (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)))))
(log1p.f32 (*.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)))
(pow.f32 (log1p.f32 (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta))) #s(literal 1 binary32))
(log1p.f32 (*.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)))
(pow.f32 (cbrt.f32 (log1p.f32 (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)))) #s(literal 3 binary32))
(log1p.f32 (*.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)))
(pow.f32 (pow.f32 (log1p.f32 (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(log1p.f32 (*.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)))
(pow.f32 (sqrt.f32 (log1p.f32 (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)))) #s(literal 2 binary32))
(log1p.f32 (*.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)))
(log.f32 (+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta))))
(log1p.f32 (*.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)))
(cbrt.f32 (pow.f32 (log1p.f32 (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta))) #s(literal 3 binary32)))
(log1p.f32 (*.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)))
(expm1.f32 (log1p.f32 (log1p.f32 (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)))))
(expm1.f32 (log1p.f32 (log1p.f32 (*.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)))))
(log1p.f32 (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)))
(log1p.f32 (*.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)))
(exp.f32 (log.f32 (log1p.f32 (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)))))
(log1p.f32 (*.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)))
(exp.f32 (*.f32 (log.f32 (log1p.f32 (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)))) #s(literal 1 binary32)))
(log1p.f32 (*.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)))

eval771.0ms (5.3%)

Compiler

Compiled 33394 to 25076 computations (24.9% saved)

prune231.0ms (1.6%)

Pruning

40 alts after pruning (34 fresh and 6 done)

PrunedKeptTotal
New70710717
Fresh112435
Picked055
Done011
Total71840758
Accuracy
100.0%
Counts
758 → 40
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.5%
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta)) c)) #s(literal -1/2 binary32)) #s(literal 2 binary32))
95.0%
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) cosTheta)) #s(literal -1/2 binary32)) #s(literal 2 binary32))
42.0%
(pow.f32 (pow.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
90.6%
(pow.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 (fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (/.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) cosTheta) (cbrt.f32 (PI.f32))) (+.f32 #s(literal 1 binary32) c)))) #s(literal 3 binary32))
91.3%
(pow.f32 (*.f32 (sqrt.f32 cosTheta) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/8 binary32)) #s(literal 2 binary32))) #s(literal 2 binary32))
92.0%
(pow.f32 (sqrt.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32)))) #s(literal 2 binary32))
91.4%
(pow.f32 (cbrt.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32)))) #s(literal 3 binary32))
90.3%
(pow.f32 (cbrt.f32 (exp.f32 (neg.f32 (log1p.f32 (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)))))) #s(literal 3 binary32))
58.8%
(/.f32 (cbrt.f32 (pow.f32 (fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 cosTheta (cbrt.f32 (PI.f32)))) (+.f32 #s(literal 1 binary32) c)) #s(literal -2 binary32))) (cbrt.f32 (fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 cosTheta (cbrt.f32 (PI.f32)))) (+.f32 #s(literal 1 binary32) c))))
92.0%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 cosTheta (cbrt.f32 (PI.f32)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
92.1%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (/.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) cosTheta) (cbrt.f32 (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
97.1%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1 binary32))))) cosTheta) (cbrt.f32 (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
✓98.5%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))) cosTheta) (cbrt.f32 (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
95.3%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
✓96.7%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1/2 binary32))) #s(literal 1 binary32))))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
96.3%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1 binary32))))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
96.6%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (*.f32 (/.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (cbrt.f32 (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1/2 binary32))) #s(literal 1 binary32))))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
97.5%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 cosTheta (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) (pow.f32 (PI.f32) #s(literal -1/2 binary32))))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
92.1%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
✓91.9%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 (PI.f32))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (/.f32 #s(literal 1 binary32) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
53.8%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (sqrt.f32 (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (pow.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
95.0%
(/.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 (*.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))) cosTheta)))
91.4%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))
95.5%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (*.f32 (/.f32 cosTheta (-.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 (PI.f32)))) c)))
95.4%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (*.f32 cosTheta (*.f32 (+.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))))) c)))
94.8%
(/.f32 #s(literal 1 binary32) (+.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))))))
91.3%
(/.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 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta))))
57.9%
(/.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))))))))
✓11.1%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c))
✓11.1%
(-.f32 #s(literal 1 binary32) c)
91.3%
(*.f32 (pow.f32 (cbrt.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32)))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32)))))
94.1%
(*.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (cbrt.f32 (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)))))) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (cbrt.f32 (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))))))))
92.6%
(*.f32 (sqrt.f32 (PI.f32)) cosTheta)
95.9%
(*.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)))))))
91.5%
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (+.f32 (PI.f32) (*.f32 (PI.f32) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c))))))
92.3%
(*.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) c)))))
58.0%
(sqrt.f32 (pow.f32 (fma.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (+.f32 #s(literal 1 binary32) c)) #s(literal -2 binary32)))
✓90.4%
(exp.f32 (neg.f32 (log1p.f32 (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)))))
90.4%
(exp.f32 (neg.f32 (log1p.f32 (*.f32 (log1p.f32 (expm1.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)))))
Compiler

Compiled 3060 to 2168 computations (29.2% saved)

regimes143.0ms (1%)

Counts
89 → 1
Calls
Call 1
Inputs
(-.f32 #s(literal 1 binary32) c)
(/.f32 #s(literal 1 binary32) c)
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c))
(*.f32 cosTheta (sqrt.f32 (PI.f32)))
(*.f32 (sqrt.f32 (PI.f32)) cosTheta)
(/.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 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (+.f32 (PI.f32) (*.f32 (PI.f32) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) 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 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(*.f32 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 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.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 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1 binary32))))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1/2 binary32))) #s(literal 1 binary32))))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(pow.f32 (cbrt.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32)))) #s(literal 3 binary32))
(pow.f32 (sqrt.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32)))) #s(literal 2 binary32))
(pow.f32 (*.f32 (sqrt.f32 cosTheta) (pow.f32 (PI.f32) #s(literal 1/4 binary32))) #s(literal 2 binary32))
(pow.f32 (pow.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(/.f32 #s(literal 1 binary32) (+.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))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (*.f32 cosTheta (*.f32 (+.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))))) c)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (*.f32 (/.f32 cosTheta (-.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 (PI.f32)))) c)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (/.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) cosTheta) (cbrt.f32 (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 cosTheta (cbrt.f32 (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 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) 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 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (pow.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 (PI.f32))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (/.f32 #s(literal 1 binary32) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 (PI.f32))) (/.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (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 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) 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) (/.f32 cosTheta (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) (pow.f32 (PI.f32) #s(literal -1/2 binary32))))) (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)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1 binary32))))) cosTheta) (cbrt.f32 (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (*.f32 (/.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (cbrt.f32 (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1/2 binary32))) #s(literal 1 binary32))))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(pow.f32 (*.f32 (sqrt.f32 cosTheta) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/8 binary32)) #s(literal 2 binary32))) #s(literal 2 binary32))
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) cosTheta)) #s(literal -1/2 binary32)) #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)) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 2 binary32))))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1 binary32)))) cosTheta) (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (sqrt.f32 (PI.f32))) c)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 cosTheta (+.f32 c (-.f32 (*.f32 cosTheta (*.f32 (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 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (*.f32 (/.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (cbrt.f32 (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))) cosTheta) (cbrt.f32 (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (*.f32 (cbrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (pow.f32 (PI.f32) #s(literal -1/6 binary32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 (PI.f32))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(*.f32 (pow.f32 (cbrt.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32)))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32)))))
(exp.f32 (neg.f32 (log1p.f32 (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (/.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 (pow.f32 cosTheta #s(literal 2 binary32))) (*.f32 (/.f32 cosTheta (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)))) (sqrt.f32 (PI.f32)))) c)))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (cbrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (pow.f32 (cbrt.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))) #s(literal 3 binary32)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (pow.f32 (sqrt.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))) #s(literal 2 binary32)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal 2 binary32) #s(literal 1 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) cosTheta)) (pow.f32 (PI.f32) #s(literal 1/4 binary32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (sqrt.f32 cosTheta)) (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) (cbrt.f32 (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (cbrt.f32 (sqrt.f32 (PI.f32))))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (*.f32 (cbrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (cbrt.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.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))) cosTheta) (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (sqrt.f32 (PI.f32))) c)))
(exp.f32 (neg.f32 (log1p.f32 (+.f32 c (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))))))
(exp.f32 (neg.f32 (log1p.f32 (*.f32 (log1p.f32 (expm1.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)))))
(sqrt.f32 (pow.f32 (fma.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (+.f32 #s(literal 1 binary32) c)) #s(literal -2 binary32)))
(pow.f32 (cbrt.f32 (exp.f32 (neg.f32 (log1p.f32 (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)))))) #s(literal 3 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 (fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (/.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) cosTheta) (cbrt.f32 (PI.f32))) (+.f32 #s(literal 1 binary32) c)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (fma.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (+.f32 #s(literal 1 binary32) c)) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (cbrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (+.f32 #s(literal 1 binary32) c)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta)) c)) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (exp.f32 (neg.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 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))) (+.f32 #s(literal 1 binary32) c)))) #s(literal 3 binary32))
(+.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)))))))
(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))) cosTheta) (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))) c)) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (log.f32 (exp.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))))) cosTheta) (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (sqrt.f32 (PI.f32))) c)))
(pow.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta) (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))) c)))) #s(literal 2 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))) cosTheta) (/.f32 (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (cbrt.f32 (sqrt.f32 (PI.f32)))) (cbrt.f32 (PI.f32))) c)))
(pow.f32 (sqrt.f32 (fma.f32 (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) #s(literal 3 binary32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta)) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) c))) #s(literal -2 binary32))
(pow.f32 (pow.f32 (exp.f32 (neg.f32 (log1p.f32 (+.f32 c (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (/.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32))) (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))))))))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (pow.f32 (exp.f32 (neg.f32 (log1p.f32 (fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta) (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))) c)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(/.f32 (cbrt.f32 (pow.f32 (fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 cosTheta (cbrt.f32 (PI.f32)))) (+.f32 #s(literal 1 binary32) c)) #s(literal -2 binary32))) (cbrt.f32 (fma.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 cosTheta (cbrt.f32 (PI.f32)))) (+.f32 #s(literal 1 binary32) c))))
(*.f32 (cbrt.f32 (pow.f32 (fma.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (+.f32 #s(literal 1 binary32) c)) #s(literal -2 binary32))) (cbrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (+.f32 #s(literal 1 binary32) c)))))
(*.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (cbrt.f32 (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)))))) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (cbrt.f32 (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))))))))
(*.f32 (cbrt.f32 (pow.f32 (fma.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))) (+.f32 #s(literal 1 binary32) c)) #s(literal -2 binary32))) (/.f32 #s(literal 1 binary32) (cbrt.f32 (fma.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (*.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32))))) (+.f32 #s(literal 1 binary32) c)))))
(*.f32 (pow.f32 (sqrt.f32 (fma.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (+.f32 #s(literal 1 binary32) c))) #s(literal -1 binary32)) (pow.f32 (sqrt.f32 (fma.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (+.f32 #s(literal 1 binary32) c))) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (cbrt.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta) (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))) c))) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (cbrt.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta) (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))) c)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 c #s(literal 3 binary32)) (pow.f32 (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (*.f32 (sqrt.f32 (PI.f32)) (/.f32 cosTheta (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)))))) #s(literal 3 binary32))) (fma.f32 (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (*.f32 (sqrt.f32 (PI.f32)) (/.f32 cosTheta (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)) (/.f32 cosTheta (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)))))) (*.f32 c (-.f32 c (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (*.f32 (sqrt.f32 (PI.f32)) (/.f32 cosTheta (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))))))))))))
(*.f32 cosTheta (fma.f32 cosTheta (fma.f32 cosTheta (fma.f32 (neg.f32 cosTheta) (-.f32 (fma.f32 (PI.f32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal 1/2 binary32)) (*.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) (neg.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32)) (+.f32 #s(literal 1 binary32) (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))) (*.f32 (*.f32 (sqrt.f32 (PI.f32)) (+.f32 #s(literal 1 binary32) (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (-.f32 (*.f32 (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 (-.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 (+.f32 #s(literal 1 binary32) (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (neg.f32 (PI.f32)))) (sqrt.f32 (PI.f32))))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))) cosTheta) (cbrt.f32 (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
Calls

6 calls:

26.0ms
(+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))
25.0ms
(*.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)))
23.0ms
(/.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)))))
22.0ms
c
22.0ms
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 64 computations (23.8% saved)

regimes79.0ms (0.5%)

Counts
49 → 1
Calls
Call 1
Inputs
(-.f32 #s(literal 1 binary32) c)
(/.f32 #s(literal 1 binary32) c)
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c))
(*.f32 cosTheta (sqrt.f32 (PI.f32)))
(*.f32 (sqrt.f32 (PI.f32)) cosTheta)
(/.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 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (+.f32 (PI.f32) (*.f32 (PI.f32) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) 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 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(*.f32 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 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.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 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1 binary32))))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1/2 binary32))) #s(literal 1 binary32))))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(pow.f32 (cbrt.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32)))) #s(literal 3 binary32))
(pow.f32 (sqrt.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32)))) #s(literal 2 binary32))
(pow.f32 (*.f32 (sqrt.f32 cosTheta) (pow.f32 (PI.f32) #s(literal 1/4 binary32))) #s(literal 2 binary32))
(pow.f32 (pow.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(/.f32 #s(literal 1 binary32) (+.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))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (*.f32 cosTheta (*.f32 (+.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))))) c)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (*.f32 (/.f32 cosTheta (-.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 (PI.f32)))) c)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (/.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) cosTheta) (cbrt.f32 (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 cosTheta (cbrt.f32 (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 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) 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 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (pow.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 (PI.f32))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (/.f32 #s(literal 1 binary32) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 (PI.f32))) (/.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (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 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) 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) (/.f32 cosTheta (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) (pow.f32 (PI.f32) #s(literal -1/2 binary32))))) (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)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1 binary32))))) cosTheta) (cbrt.f32 (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (*.f32 (/.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (cbrt.f32 (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1/2 binary32))) #s(literal 1 binary32))))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(pow.f32 (*.f32 (sqrt.f32 cosTheta) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/8 binary32)) #s(literal 2 binary32))) #s(literal 2 binary32))
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) cosTheta)) #s(literal -1/2 binary32)) #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)) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 2 binary32))))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1 binary32)))) cosTheta) (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (sqrt.f32 (PI.f32))) c)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 cosTheta (+.f32 c (-.f32 (*.f32 cosTheta (*.f32 (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 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (*.f32 (/.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (cbrt.f32 (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (*.f32 (/.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (cbrt.f32 (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
Calls

6 calls:

14.0ms
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
(+.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))))
13.0ms
(/.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)))))
13.0ms
cosTheta
Results
AccuracySegmentsBranch
97.7%1cosTheta
97.7%1c
97.7%1(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
97.7%1(+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))
97.7%1(+.f32 #s(literal 1 binary32) c)
97.7%1(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))
Compiler

Compiled 84 to 64 computations (23.8% saved)

regimes107.0ms (0.7%)

Counts
48 → 1
Calls
Call 1
Inputs
(-.f32 #s(literal 1 binary32) c)
(/.f32 #s(literal 1 binary32) c)
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c))
(*.f32 cosTheta (sqrt.f32 (PI.f32)))
(*.f32 (sqrt.f32 (PI.f32)) cosTheta)
(/.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 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (+.f32 (PI.f32) (*.f32 (PI.f32) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) 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 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(*.f32 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 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.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 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1 binary32))))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1/2 binary32))) #s(literal 1 binary32))))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(pow.f32 (cbrt.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32)))) #s(literal 3 binary32))
(pow.f32 (sqrt.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32)))) #s(literal 2 binary32))
(pow.f32 (*.f32 (sqrt.f32 cosTheta) (pow.f32 (PI.f32) #s(literal 1/4 binary32))) #s(literal 2 binary32))
(pow.f32 (pow.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(/.f32 #s(literal 1 binary32) (+.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))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (*.f32 cosTheta (*.f32 (+.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))))) c)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (*.f32 (/.f32 cosTheta (-.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 (PI.f32)))) c)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (/.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) cosTheta) (cbrt.f32 (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 cosTheta (cbrt.f32 (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 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) 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 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (pow.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 (PI.f32))) (*.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (/.f32 #s(literal 1 binary32) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 (PI.f32))) (/.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (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 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) 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) (/.f32 cosTheta (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) (pow.f32 (PI.f32) #s(literal -1/2 binary32))))) (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)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1 binary32))))) cosTheta) (cbrt.f32 (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (*.f32 (/.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (cbrt.f32 (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1/2 binary32))) #s(literal 1 binary32))))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(pow.f32 (*.f32 (sqrt.f32 cosTheta) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/8 binary32)) #s(literal 2 binary32))) #s(literal 2 binary32))
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) cosTheta)) #s(literal -1/2 binary32)) #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)) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 2 binary32))))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1 binary32)))) cosTheta) (/.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (sqrt.f32 (PI.f32))) c)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 cosTheta (+.f32 c (-.f32 (*.f32 cosTheta (*.f32 (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)))
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:

43.0ms
cosTheta
14.0ms
(+.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))))
14.0ms
c
13.0ms
(*.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)))
13.0ms
(/.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)))))
Results
AccuracySegmentsBranch
97.7%1cosTheta
97.7%1c
97.7%1(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
97.7%1(+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))
97.7%1(+.f32 #s(literal 1 binary32) c)
97.7%1(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))
Compiler

Compiled 84 to 64 computations (23.8% saved)

regimes21.0ms (0.1%)

Counts
28 → 1
Calls
Call 1
Inputs
(-.f32 #s(literal 1 binary32) c)
(/.f32 #s(literal 1 binary32) c)
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c))
(*.f32 cosTheta (sqrt.f32 (PI.f32)))
(*.f32 (sqrt.f32 (PI.f32)) cosTheta)
(/.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 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (+.f32 (PI.f32) (*.f32 (PI.f32) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) 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 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(*.f32 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 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.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 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1 binary32))))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1/2 binary32))) #s(literal 1 binary32))))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(pow.f32 (cbrt.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32)))) #s(literal 3 binary32))
(pow.f32 (sqrt.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32)))) #s(literal 2 binary32))
(pow.f32 (*.f32 (sqrt.f32 cosTheta) (pow.f32 (PI.f32) #s(literal 1/4 binary32))) #s(literal 2 binary32))
(pow.f32 (pow.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(/.f32 #s(literal 1 binary32) (+.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))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (*.f32 cosTheta (*.f32 (+.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))))) c)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (*.f32 (/.f32 cosTheta (-.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 (PI.f32)))) c)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (/.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) cosTheta) (cbrt.f32 (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 cosTheta (cbrt.f32 (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 (-.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 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta))))
Calls

3 calls:

9.0ms
c
7.0ms
cosTheta
3.0ms
(+.f32 #s(literal 1 binary32) c)
Results
AccuracySegmentsBranch
97.4%1cosTheta
97.4%1c
97.4%1(+.f32 #s(literal 1 binary32) c)
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes19.0ms (0.1%)

Counts
24 → 1
Calls
Call 1
Inputs
(-.f32 #s(literal 1 binary32) c)
(/.f32 #s(literal 1 binary32) c)
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c))
(*.f32 cosTheta (sqrt.f32 (PI.f32)))
(*.f32 (sqrt.f32 (PI.f32)) cosTheta)
(/.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 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (+.f32 (PI.f32) (*.f32 (PI.f32) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) 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 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(*.f32 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 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.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 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1 binary32))))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1/2 binary32))) #s(literal 1 binary32))))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(pow.f32 (cbrt.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32)))) #s(literal 3 binary32))
(pow.f32 (sqrt.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32)))) #s(literal 2 binary32))
(pow.f32 (*.f32 (sqrt.f32 cosTheta) (pow.f32 (PI.f32) #s(literal 1/4 binary32))) #s(literal 2 binary32))
(pow.f32 (pow.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(/.f32 #s(literal 1 binary32) (+.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))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (*.f32 cosTheta (*.f32 (+.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))))) c)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (*.f32 (/.f32 cosTheta (-.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 (PI.f32)))) c)))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1/2 binary32))) #s(literal 1 binary32))))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
Calls

3 calls:

7.0ms
c
7.0ms
cosTheta
3.0ms
(+.f32 #s(literal 1 binary32) c)
Results
AccuracySegmentsBranch
96.7%1(+.f32 #s(literal 1 binary32) c)
96.7%1cosTheta
96.7%1c
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes15.0ms (0.1%)

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

3 calls:

7.0ms
cosTheta
4.0ms
c
2.0ms
(+.f32 #s(literal 1 binary32) c)
Results
AccuracySegmentsBranch
96.3%1cosTheta
96.3%1c
96.3%1(+.f32 #s(literal 1 binary32) c)
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes12.0ms (0.1%)

Counts
15 → 1
Calls
Call 1
Inputs
(-.f32 #s(literal 1 binary32) c)
(/.f32 #s(literal 1 binary32) c)
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c))
(*.f32 cosTheta (sqrt.f32 (PI.f32)))
(*.f32 (sqrt.f32 (PI.f32)) cosTheta)
(/.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 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (+.f32 (PI.f32) (*.f32 (PI.f32) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) 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 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(*.f32 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 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.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 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
Outputs
(*.f32 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:

5.0ms
cosTheta
4.0ms
c
2.0ms
(+.f32 #s(literal 1 binary32) c)
Results
AccuracySegmentsBranch
95.9%1cosTheta
95.9%1c
95.9%1(+.f32 #s(literal 1 binary32) c)
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes9.0ms (0.1%)

Counts
9 → 1
Calls
Call 1
Inputs
(-.f32 #s(literal 1 binary32) c)
(/.f32 #s(literal 1 binary32) c)
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c))
(*.f32 cosTheta (sqrt.f32 (PI.f32)))
(*.f32 (sqrt.f32 (PI.f32)) cosTheta)
(/.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 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (+.f32 (PI.f32) (*.f32 (PI.f32) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c))))))
Outputs
(*.f32 cosTheta (sqrt.f32 (PI.f32)))
Calls

3 calls:

4.0ms
cosTheta
3.0ms
c
1.0ms
(+.f32 #s(literal 1 binary32) c)
Results
AccuracySegmentsBranch
92.6%1cosTheta
92.6%1c
92.6%1(+.f32 #s(literal 1 binary32) c)
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes4.0ms (0%)

Accuracy

Total -2.0b remaining (-6.9%)

Threshold costs -2b (-6.9%)

Counts
3 → 1
Calls
Call 1
Inputs
(-.f32 #s(literal 1 binary32) c)
(/.f32 #s(literal 1 binary32) c)
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c))
Outputs
(-.f32 #s(literal 1 binary32) c)
Calls

3 calls:

2.0ms
c
1.0ms
cosTheta
1.0ms
(+.f32 #s(literal 1 binary32) c)
Results
AccuracySegmentsBranch
11.1%1cosTheta
11.1%1c
11.1%1(+.f32 #s(literal 1 binary32) c)
Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify11.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
140×unsub-neg
88×neg-mul-1
72×*-commutative
68×+-commutative
50×distribute-neg-out
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
087666
1150666
2191666
3224666
4254666
5280666
6294666
7357666
8432666
9435666
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))) cosTheta) (cbrt.f32 (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (*.f32 (/.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (cbrt.f32 (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))) 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 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))) (PI.f32))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1/2 binary32))) #s(literal 1 binary32))))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1 binary32))))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) 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 (sqrt.f32 (PI.f32)))
(-.f32 #s(literal 1 binary32) c)
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))) cosTheta) (cbrt.f32 (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))) cosTheta) (cbrt.f32 (PI.f32))) (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (*.f32 (/.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (cbrt.f32 (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32))))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (/.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 2 binary32)))) (/.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (cbrt.f32 (PI.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 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (/.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta)))))
(/.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 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1/2 binary32))) #s(literal 1 binary32))))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (+.f32 #s(literal -1 binary32) (*.f32 cosTheta (-.f32 (*.f32 cosTheta #s(literal -1/2 binary32)) #s(literal 1/2 binary32))))))) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1 binary32))))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (exp.f32 (*.f32 cosTheta (neg.f32 cosTheta))) (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (+.f32 #s(literal -1 binary32) (*.f32 cosTheta #s(literal -1/2 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 (PI.f32) cosTheta) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal -1 binary32) c)))))
(*.f32 cosTheta (sqrt.f32 (PI.f32)))
(-.f32 #s(literal 1 binary32) c)

soundness1.3s (9%)

Rules
1276×times-frac
1240×div-sub
1202×*-commutative
1088×distribute-lft-in
1064×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
052687
1149596
2435592
31471560
44275560
55930560
67669560
0179364192
1503662806
058814
11129790
056759
11072693
050688
1920646
0145358207
1425556725
035364
1629319
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
Compiler

Compiled 2355 to 1551 computations (34.1% saved)

preprocess110.0ms (0.8%)

Compiler

Compiled 414 to 288 computations (30.4% saved)

end0.0ms (0%)

Profiling

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