Trowbridge-Reitz Sample, sample surface normal, cosTheta

Time bar (total: 2.5min)

analyze1.4s (0.9%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%0%100%0%0%0%0
0%0%0%100%0%0%0%1
0%0%0%100%0%0%0%2
25%0%0%100%0%0%0%3
25%0%0%100%0%0%0%4
25%0%0%100%0%0%0%5
37.5%0%0%100%0%0%0%6
56.3%0%0%100%0%0%0%7
56.3%0%0%100%0%0%0%8
56.3%0%0%100%0%0%0%9
65.6%0%0%100%0%0%0%10
76.6%0%0%100%0%0%0%11
76.6%0%0%100%0%0%0%12
Compiler

Compiled 123 to 87 computations (29.3% saved)

sample8.4s (5.6%)

Results
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1.0ms256valid
1.0ms256valid
1.0ms256valid
1.0ms256valid
1.0ms256valid
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2.0ms256valid
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1.0ms256valid
1.0ms256valid
1.0ms256valid
3.0ms256valid
1.0ms256valid
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1.0ms256valid
1.0ms256valid
1.0ms256valid
1.0ms256valid
1.0ms256valid
1.0ms256valid
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1.0ms256valid
1.0ms256valid
3.0ms256valid
1.0ms256valid
1.0ms256valid
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1.0ms256valid
1.0ms256valid
1.0ms256valid
1.0ms256valid
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1.0ms256valid
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1.0ms256valid
1.0ms256valid
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1.0ms256valid
1.0ms256valid
1.0ms256valid
1.0ms256valid
1.0ms256valid
1.0ms256valid
11.0ms256valid
1.0ms256valid
1.0ms256valid
1.0ms256valid
1.0ms256valid
1.0ms256valid
1.0ms256valid
1.0ms256valid
1.0ms256valid
1.0ms256valid
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1.0ms256valid
1.0ms256valid
1.0ms256valid
1.0ms256valid
1.0ms256valid
1.0ms256valid
1.0ms256valid
1.0ms256valid
4.0ms256valid
1.0ms256valid
1.0ms256valid
1.0ms256valid
1.0ms256valid
1.0ms256valid
1.0ms256valid
1.0ms256valid
1.0ms256valid
1.0ms256valid
1.0ms256valid
1.0ms256valid
1.0ms256valid
1.0ms256valid
1.0ms256valid
1.0ms256valid
2.0ms256valid
Bogosity

preprocess4.7s (3.2%)

Algorithm
egg-herbie
Rules
735×add0
514×associate-/r*
387×times-frac
349×distribute-rgt-in
296×distribute-frac-neg2
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1901(3.0423190764850006e-5 0.0006758543313480914 0.0004070407594554126 0.11979052424430847)5(0.0008133503724820912 0.00547257624566555 0.14946098625659943 0.0003813253133557737)(tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32))))
1875(5.125346433487721e-6 3.1460738227906404e-6 0.0477343387901783 0.0004692893417086452)5(4.1107964254827323e-10 0.00030401803087443113 0.27260589599609375 0.025692932307720184)(cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32)))))))
00-0-(/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32)))))))) (*.f32 alphax alphax))
00-0-(*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32))))))))
00-0-alphay
00-0-(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (*.f32 (/.f32 1 (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 1 u0)))))
00-0-(*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32))))))))
00-0-(*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32)))))
00-0-(/.f32 (*.f32 (/.f32 1 (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 1 u0))
00-0-(/.f32 1 (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32)))))))) (*.f32 alphay alphay))))
00-0-(*.f32 alphay alphay)
00-0-(+.f32 1 (/.f32 (*.f32 (/.f32 1 (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 1 u0)))
00-0-(sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32)))))))
00-0-(*.f32 2 (PI.f32))
00-0-(sqrt.f32 (+.f32 1 (/.f32 (*.f32 (/.f32 1 (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 1 u0))))
00-0-(+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32)))))))) (*.f32 alphay alphay)))
00-0-(*.f32 (*.f32 2 (PI.f32)) u1)
00-0-(*.f32 1/2 (PI.f32))
00-0-u0
00-0-alphax
00-0-u1
00-0-1/2
00-0-(atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32))))))
00-0-(+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32)))
00-0-(/.f32 alphay alphax)
00-0-2
00-0-(PI.f32)
00-0-(-.f32 1 u0)
00-0-1
00-0-(*.f32 (/.f32 1 (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32)))))))) (*.f32 alphay alphay)))) u0)
00-0-(*.f32 alphax alphax)
00-0-(/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32)))))))) (*.f32 alphay alphay))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02155376
17185176
220954912
352474912
Stop Event
node limit
Calls
Call 1
Inputs
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (*.f32 (/.f32 1 (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 1 u0)))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (*.f32 (/.f32 1 (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 1 u0)))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (*.f32 (/.f32 1 (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32)))))))) (*.f32 alphay alphay)))) (neg.f32 u0)) (-.f32 1 (neg.f32 u0))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (*.f32 (/.f32 1 (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) (neg.f32 u1)) (*.f32 1/2 (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) (neg.f32 u1)) (*.f32 1/2 (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) (neg.f32 u1)) (*.f32 1/2 (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) (neg.f32 u1)) (*.f32 1/2 (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 1 u0)))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (*.f32 (/.f32 1 (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay (neg.f32 alphax)) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay (neg.f32 alphax)) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32)))))))) (*.f32 (neg.f32 alphax) (neg.f32 alphax))) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay (neg.f32 alphax)) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay (neg.f32 alphax)) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 1 u0)))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (*.f32 (/.f32 1 (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 (neg.f32 alphay) alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 (neg.f32 alphay) alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 (neg.f32 alphay) alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 (neg.f32 alphay) alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32)))))))) (*.f32 (neg.f32 alphay) (neg.f32 alphay))))) u0) (-.f32 1 u0)))))
(neg.f32 (/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (*.f32 (/.f32 1 (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32)))))))) (*.f32 alphay alphay)))) (neg.f32 u0)) (-.f32 1 (neg.f32 u0)))))))
(neg.f32 (/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (*.f32 (/.f32 1 (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) (neg.f32 u1)) (*.f32 1/2 (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) (neg.f32 u1)) (*.f32 1/2 (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) (neg.f32 u1)) (*.f32 1/2 (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) (neg.f32 u1)) (*.f32 1/2 (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 1 u0))))))
(neg.f32 (/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (*.f32 (/.f32 1 (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay (neg.f32 alphax)) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay (neg.f32 alphax)) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32)))))))) (*.f32 (neg.f32 alphax) (neg.f32 alphax))) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay (neg.f32 alphax)) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay (neg.f32 alphax)) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 1 u0))))))
(neg.f32 (/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (*.f32 (/.f32 1 (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 (neg.f32 alphay) alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 (neg.f32 alphay) alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 (neg.f32 alphay) alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 (neg.f32 alphay) alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32)))))))) (*.f32 (neg.f32 alphay) (neg.f32 alphay))))) u0) (-.f32 1 u0))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (*.f32 (/.f32 1 (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u0) (*.f32 1/2 (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u0) (*.f32 1/2 (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u0) (*.f32 1/2 (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u0) (*.f32 1/2 (PI.f32)))))))) (*.f32 alphay alphay)))) u1) (-.f32 1 u1)))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (*.f32 (/.f32 1 (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay u0) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay u0) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32)))))))) (*.f32 u0 u0)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay u0) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay u0) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32)))))))) (*.f32 alphay alphay)))) alphax) (-.f32 1 alphax)))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (*.f32 (/.f32 1 (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 u0 alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 u0 alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 u0 alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 u0 alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32)))))))) (*.f32 u0 u0)))) alphay) (-.f32 1 alphay)))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (*.f32 (/.f32 1 (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay u1) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) alphax) (*.f32 1/2 (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay u1) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) alphax) (*.f32 1/2 (PI.f32)))))))) (*.f32 u1 u1)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay u1) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) alphax) (*.f32 1/2 (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay u1) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) alphax) (*.f32 1/2 (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 1 u0)))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (*.f32 (/.f32 1 (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 u1 alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) alphay) (*.f32 1/2 (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 u1 alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) alphay) (*.f32 1/2 (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 u1 alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) alphay) (*.f32 1/2 (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 u1 alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) alphay) (*.f32 1/2 (PI.f32)))))))) (*.f32 u1 u1)))) u0) (-.f32 1 u0)))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (*.f32 (/.f32 1 (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphax alphay) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphax alphay) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32)))))))) (*.f32 alphay alphay)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphax alphay) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphax alphay) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32)))))))) (*.f32 alphax alphax)))) u0) (-.f32 1 u0)))))
Outputs
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (*.f32 (/.f32 1 (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 1 u0)))))
(/.f32 1 (sqrt.f32 (+.f32 1 (*.f32 (/.f32 1 (+.f32 (*.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (*.f32 2 (PI.f32)) u1 (*.f32 (PI.f32) 1/2)))))) alphax) (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (*.f32 2 (PI.f32)) u1 (*.f32 (PI.f32) 1/2)))))) alphax)) (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (*.f32 2 (PI.f32)) u1 (*.f32 (PI.f32) 1/2)))))) (/.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (*.f32 2 (PI.f32)) u1 (*.f32 (PI.f32) 1/2)))))) (*.f32 alphay alphay))))) (/.f32 u0 (-.f32 1 u0))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (*.f32 (-.f32 1 u0) (fma.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphax)))) (/.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphax)))) (*.f32 alphax alphax)) (*.f32 (sin.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphax)))) (/.f32 (sin.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphax)))) (*.f32 alphay alphay)))))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (*.f32 (fma.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 (*.f32 2 u1) 1/2)))))) (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 (*.f32 2 u1) 1/2)))))) (*.f32 alphax alphax)) (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 (*.f32 2 u1) 1/2)))))) (/.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 (*.f32 2 u1) 1/2)))))) (*.f32 alphay alphay)))) (-.f32 1 u0))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (*.f32 (/.f32 1 (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 1 u0)))))
(/.f32 1 (sqrt.f32 (+.f32 1 (*.f32 (/.f32 1 (+.f32 (*.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (*.f32 2 (PI.f32)) u1 (*.f32 (PI.f32) 1/2)))))) alphax) (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (*.f32 2 (PI.f32)) u1 (*.f32 (PI.f32) 1/2)))))) alphax)) (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (*.f32 2 (PI.f32)) u1 (*.f32 (PI.f32) 1/2)))))) (/.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (*.f32 2 (PI.f32)) u1 (*.f32 (PI.f32) 1/2)))))) (*.f32 alphay alphay))))) (/.f32 u0 (-.f32 1 u0))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (*.f32 (-.f32 1 u0) (fma.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphax)))) (/.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphax)))) (*.f32 alphax alphax)) (*.f32 (sin.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphax)))) (/.f32 (sin.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphax)))) (*.f32 alphay alphay)))))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (*.f32 (fma.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 (*.f32 2 u1) 1/2)))))) (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 (*.f32 2 u1) 1/2)))))) (*.f32 alphax alphax)) (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 (*.f32 2 u1) 1/2)))))) (/.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 (*.f32 2 u1) 1/2)))))) (*.f32 alphay alphay)))) (-.f32 1 u0))))))
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(/.f32 1 (sqrt.f32 (+.f32 1 (*.f32 (/.f32 1 (+.f32 (*.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (*.f32 2 (PI.f32)) u1 (*.f32 (PI.f32) 1/2)))))) alphax) (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (*.f32 2 (PI.f32)) u1 (*.f32 (PI.f32) 1/2)))))) alphax)) (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (*.f32 2 (PI.f32)) u1 (*.f32 (PI.f32) 1/2)))))) (/.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (*.f32 2 (PI.f32)) u1 (*.f32 (PI.f32) 1/2)))))) (*.f32 alphay alphay))))) (/.f32 (neg.f32 u0) (-.f32 1 (neg.f32 u0)))))))
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(/.f32 1 (sqrt.f32 (-.f32 1 (/.f32 u0 (*.f32 (fma.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 (*.f32 2 u1) 1/2)))))) (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 (*.f32 2 u1) 1/2)))))) (*.f32 alphax alphax)) (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 (*.f32 2 u1) 1/2)))))) (/.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 (*.f32 2 u1) 1/2)))))) (*.f32 alphay alphay)))) (+.f32 1 u0))))))
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(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (*.f32 (-.f32 1 u0) (fma.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 alphax 2)))) u1)))) (/.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 alphax 2)))) u1)))) (*.f32 u1 u1)) (*.f32 (sin.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 alphax 2)))) u1)))) (/.f32 (sin.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 alphax 2)))) u1)))) (*.f32 alphay alphay)))))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (*.f32 (/.f32 1 (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 u1 alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) alphay) (*.f32 1/2 (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 u1 alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) alphay) (*.f32 1/2 (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 u1 alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) alphay) (*.f32 1/2 (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 u1 alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) alphay) (*.f32 1/2 (PI.f32)))))))) (*.f32 u1 u1)))) u0) (-.f32 1 u0)))))
(/.f32 1 (sqrt.f32 (+.f32 1 (*.f32 (/.f32 1 (+.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 u1 alphax) (tan.f32 (fma.f32 (*.f32 2 (PI.f32)) alphay (*.f32 (PI.f32) 1/2)))))) (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 u1 alphax) (tan.f32 (fma.f32 (*.f32 2 (PI.f32)) alphay (*.f32 (PI.f32) 1/2)))))) (*.f32 alphax alphax))) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 u1 alphax) (tan.f32 (fma.f32 (*.f32 2 (PI.f32)) alphay (*.f32 (PI.f32) 1/2)))))) (sin.f32 (atan.f32 (*.f32 (/.f32 u1 alphax) (tan.f32 (fma.f32 (*.f32 2 (PI.f32)) alphay (*.f32 (PI.f32) 1/2))))))) (*.f32 u1 u1)))) (/.f32 u0 (-.f32 1 u0))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (*.f32 (-.f32 1 u0) (fma.f32 (sin.f32 (atan.f32 (*.f32 u1 (/.f32 (tan.f32 (fma.f32 alphay (*.f32 2 (PI.f32)) (*.f32 (PI.f32) 1/2))) alphax)))) (/.f32 (sin.f32 (atan.f32 (*.f32 u1 (/.f32 (tan.f32 (fma.f32 alphay (*.f32 2 (PI.f32)) (*.f32 (PI.f32) 1/2))) alphax)))) (*.f32 u1 u1)) (*.f32 (cos.f32 (atan.f32 (*.f32 u1 (/.f32 (tan.f32 (fma.f32 alphay (*.f32 2 (PI.f32)) (*.f32 (PI.f32) 1/2))) alphax)))) (/.f32 (cos.f32 (atan.f32 (*.f32 u1 (/.f32 (tan.f32 (fma.f32 alphay (*.f32 2 (PI.f32)) (*.f32 (PI.f32) 1/2))) alphax)))) (*.f32 alphax alphax)))))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (*.f32 (-.f32 1 u0) (fma.f32 (cos.f32 (atan.f32 (*.f32 u1 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 alphay 2)))) alphax)))) (/.f32 (cos.f32 (atan.f32 (*.f32 u1 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 alphay 2)))) alphax)))) (*.f32 alphax alphax)) (*.f32 (sin.f32 (atan.f32 (*.f32 u1 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 alphay 2)))) alphax)))) (/.f32 (sin.f32 (atan.f32 (*.f32 u1 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 alphay 2)))) alphax)))) (*.f32 u1 u1)))))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (*.f32 (/.f32 1 (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphax alphay) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphax alphay) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32)))))))) (*.f32 alphay alphay)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphax alphay) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphax alphay) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32)))))))) (*.f32 alphax alphax)))) u0) (-.f32 1 u0)))))
(/.f32 1 (sqrt.f32 (+.f32 1 (*.f32 (/.f32 1 (+.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 (*.f32 2 (PI.f32)) u1 (*.f32 (PI.f32) 1/2))) (/.f32 alphax alphay)))) (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 (*.f32 2 (PI.f32)) u1 (*.f32 (PI.f32) 1/2))) (/.f32 alphax alphay)))) (*.f32 alphay alphay))) (*.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 (*.f32 2 (PI.f32)) u1 (*.f32 (PI.f32) 1/2))) (/.f32 alphax alphay)))) alphax) (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 (*.f32 2 (PI.f32)) u1 (*.f32 (PI.f32) 1/2))) (/.f32 alphax alphay)))) alphax)))) (/.f32 u0 (-.f32 1 u0))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (*.f32 (-.f32 1 u0) (fma.f32 (cos.f32 (atan.f32 (*.f32 alphax (/.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphay)))) (/.f32 (cos.f32 (atan.f32 (*.f32 alphax (/.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphay)))) (*.f32 alphay alphay)) (*.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 alphax (/.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphay)))) alphax) (/.f32 (sin.f32 (atan.f32 (*.f32 alphax (/.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphay)))) alphax))))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (*.f32 (-.f32 1 u0) (fma.f32 (cos.f32 (atan.f32 (*.f32 alphax (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 (*.f32 2 u1) 1/2))) alphay)))) (/.f32 (cos.f32 (atan.f32 (*.f32 alphax (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 (*.f32 2 u1) 1/2))) alphay)))) (*.f32 alphay alphay)) (*.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 alphax (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 (*.f32 2 u1) 1/2))) alphay)))) alphax) (/.f32 (sin.f32 (atan.f32 (*.f32 alphax (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 (*.f32 2 u1) 1/2))) alphay)))) alphax))))))))
Compiler

Compiled 1750 to 1090 computations (37.7% saved)

eval4.0ms (0%)

Compiler

Compiled 246 to 160 computations (35% saved)

prune3.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
99.4%
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (*.f32 (/.f32 1 (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 1 u0)))))
Compiler

Compiled 92 to 64 computations (30.4% saved)

localize2.3s (1.5%)

Localize:

Found 4 expressions with local error:

NewAccuracyProgram
99.0%
(*.f32 (*.f32 2 (PI.f32)) u1)
98.2%
(*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32))))))))
63.3%
(tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32))))
61.7%
(cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32)))))))
Compiler

Compiled 829 to 513 computations (38.1% saved)

series40.0ms (0%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
6.0ms
alphay
@inf
(cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32)))))))
3.0ms
u1
@-inf
(tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32))))
3.0ms
u1
@0
(tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32))))
3.0ms
u1
@inf
(*.f32 (*.f32 2 (PI.f32)) u1)
3.0ms
u1
@0
(*.f32 (*.f32 2 (PI.f32)) u1)

rewrite320.0ms (0.2%)

Algorithm
batch-egg-rewrite
Rules
1144×log1p-expm1-u
629×expm1-log1p-u
165×add0
153×add-exp-log
153×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023172
1342172
25191172
Stop Event
node limit
Counts
4 → 128
Calls
Call 1
Inputs
(cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32)))))))
(tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32))))
(*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32))))))))
(*.f32 (*.f32 2 (PI.f32)) u1)
Outputs
(+.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphax)))) 0)
(+.f32 0 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphax)))))
(-.f32 (exp.f32 (log1p.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphax)))))) 1)
(-.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphax)))) (cos.f32 0)) (*.f32 (sin.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphax)))) (sin.f32 0)))
(*.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphax)))) 1)
(*.f32 1 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphax)))))
(*.f32 (cbrt.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphax))))) (pow.f32 (cbrt.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphax))))) 2))
(*.f32 (pow.f32 (cbrt.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphax))))) 2) (cbrt.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphax))))))
(*.f32 (sqrt.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphax))))) (sqrt.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphax))))))
(*.f32 (sqrt.f32 (cbrt.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphax)))) 4))) (sqrt.f32 (pow.f32 (cbrt.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphax))))) 2)))
(/.f32 1 (hypot.f32 1 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphax))))
(/.f32 1 (/.f32 (hypot.f32 1 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphax))) 1))
(/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphax)))) 3) (+.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphax)))) 2) (-.f32 0 (*.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphax)))) 0))))
(/.f32 -1 (neg.f32 (hypot.f32 1 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphax)))))
(/.f32 (sqrt.f32 (+.f32 (cos.f32 (*.f32 2 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphax))))) (cos.f32 0))) (sqrt.f32 2))
(/.f32 (-.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphax)))) 2) 0) (-.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphax)))) 0))
(pow.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphax)))) 1)
(pow.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphax)))) 2) 1/2)
(pow.f32 (hypot.f32 1 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphax))) -1)
(pow.f32 (cbrt.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphax))))) 3)
(pow.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphax)))) 3) 1/3)
(pow.f32 (sqrt.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphax))))) 2)
(sqrt.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphax)))) 2))
(fabs.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphax)))))
(log.f32 (exp.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphax))))))
(log.f32 (+.f32 1 (expm1.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphax)))))))
(cbrt.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphax)))) 3))
(expm1.f32 (log1p.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphax))))))
(log1p.f32 (expm1.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphax))))))
(exp.f32 (log.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphax))))))
(exp.f32 (*.f32 (log.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphax))))) 1))
(fma.f32 1 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphax)))) 0)
(fma.f32 (pow.f32 (cbrt.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphax))))) 2) (cbrt.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphax))))) 0)
(fma.f32 (sqrt.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphax))))) (sqrt.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphax))))) 0)
(+.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) 0)
(+.f32 0 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))))
(-.f32 (exp.f32 (log1p.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))))) 1)
(*.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) 1)
(*.f32 1 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))))
(*.f32 (sin.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) (/.f32 1 (cos.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2)))))
(*.f32 (+.f32 (tan.f32 (*.f32 2 (*.f32 (PI.f32) u1))) (tan.f32 (*.f32 (PI.f32) 1/2))) (/.f32 1 (-.f32 1 (*.f32 (tan.f32 (*.f32 2 (*.f32 (PI.f32) u1))) (tan.f32 (*.f32 (PI.f32) 1/2))))))
(*.f32 (cbrt.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2)))) (pow.f32 (cbrt.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2)))) 2))
(*.f32 (pow.f32 (cbrt.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2)))) 2) (cbrt.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2)))))
(*.f32 (sqrt.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2)))) (sqrt.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2)))))
(/.f32 1 (/.f32 (cos.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) (sin.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2)))))
(/.f32 1 (/.f32 (-.f32 1 (*.f32 (tan.f32 (*.f32 2 (*.f32 (PI.f32) u1))) (tan.f32 (*.f32 (PI.f32) 1/2)))) (+.f32 (tan.f32 (*.f32 2 (*.f32 (PI.f32) u1))) (tan.f32 (*.f32 (PI.f32) 1/2)))))
(/.f32 (sin.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) (cos.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))))
(/.f32 (+.f32 (tan.f32 (*.f32 2 (*.f32 (PI.f32) u1))) (tan.f32 (*.f32 (PI.f32) 1/2))) (-.f32 1 (*.f32 (tan.f32 (*.f32 2 (*.f32 (PI.f32) u1))) (tan.f32 (*.f32 (PI.f32) 1/2)))))
(/.f32 (pow.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) 3) (+.f32 (pow.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) 2) (-.f32 0 (*.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) 0))))
(/.f32 (+.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) (tan.f32 0)) (-.f32 1 (*.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) (tan.f32 0))))
(/.f32 (neg.f32 (sin.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2)))) (neg.f32 (cos.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2)))))
(/.f32 (neg.f32 (+.f32 (tan.f32 (*.f32 2 (*.f32 (PI.f32) u1))) (tan.f32 (*.f32 (PI.f32) 1/2)))) (neg.f32 (-.f32 1 (*.f32 (tan.f32 (*.f32 2 (*.f32 (PI.f32) u1))) (tan.f32 (*.f32 (PI.f32) 1/2))))))
(/.f32 (-.f32 (pow.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) 2) 0) (-.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) 0))
(pow.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) 1)
(pow.f32 (cbrt.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2)))) 3)
(pow.f32 (pow.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) 3) 1/3)
(pow.f32 (sqrt.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2)))) 2)
(sqrt.f32 (pow.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) 2))
(log.f32 (exp.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2)))))
(log.f32 (+.f32 1 (expm1.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))))))
(cbrt.f32 (pow.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) 3))
(expm1.f32 (log1p.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2)))))
(log1p.f32 (expm1.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2)))))
(exp.f32 (log.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2)))))
(exp.f32 (*.f32 (log.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2)))) 1))
(fma.f32 1 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) 0)
(fma.f32 (pow.f32 (cbrt.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2)))) 2) (cbrt.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2)))) 0)
(fma.f32 (sqrt.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2)))) (sqrt.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2)))) 0)
(+.f32 1/2 (*.f32 1/2 (cos.f32 (*.f32 2 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphax)))))))
(+.f32 1/2 (*.f32 (*.f32 1/2 (cos.f32 (*.f32 2 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphax)))))) 1))
(+.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphax)))) 2) 0)
(+.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphax)))) 2) (*.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphax)))) 0))
(+.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphax)))) 2) (*.f32 0 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphax))))))
(+.f32 (*.f32 1/2 (cos.f32 (*.f32 2 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphax)))))) 1/2)
(+.f32 0 (pow.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphax)))) 2))
(-.f32 (exp.f32 (log1p.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphax)))) 2))) 1)
(/.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphax)))) (hypot.f32 1 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphax))))
(/.f32 1 (+.f32 1 (pow.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphax)) 2)))
(/.f32 1 (/.f32 2 (+.f32 (cos.f32 (*.f32 2 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphax))))) (cos.f32 0))))
(/.f32 (+.f32 (cos.f32 (*.f32 2 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphax))))) (cos.f32 0)) 2)
(/.f32 (pow.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphax)))) 2) 3) (+.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphax)))) 4) (-.f32 0 (*.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphax)))) 2) 0))))
(/.f32 (neg.f32 (+.f32 (cos.f32 (*.f32 2 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphax))))) (cos.f32 0))) -2)
(/.f32 (+.f32 1/8 (pow.f32 (*.f32 1/2 (cos.f32 (*.f32 2 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphax)))))) 3)) (+.f32 1/4 (-.f32 (*.f32 (*.f32 1/2 (cos.f32 (*.f32 2 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphax)))))) (*.f32 1/2 (cos.f32 (*.f32 2 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphax))))))) (*.f32 1/2 (*.f32 1/2 (cos.f32 (*.f32 2 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphax))))))))))
(/.f32 (-.f32 1/4 (*.f32 (*.f32 1/2 (cos.f32 (*.f32 2 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphax)))))) (*.f32 1/2 (cos.f32 (*.f32 2 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphax)))))))) (-.f32 1/2 (*.f32 1/2 (cos.f32 (*.f32 2 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphax))))))))
(/.f32 (-.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphax)))) 4) 0) (-.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphax)))) 2) 0))
(pow.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphax)))) 2)
(pow.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphax)))) 2) 1)
(pow.f32 (pow.f32 (cbrt.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphax))))) 2) 3)
(pow.f32 (pow.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphax)))) 2) 3) 1/3)
(sqrt.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphax)))) 4))
(log.f32 (exp.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphax)))) 2)))
(log.f32 (+.f32 1 (expm1.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphax)))) 2))))
(cbrt.f32 (pow.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphax)))) 2) 3))
(expm1.f32 (log1p.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphax)))) 2)))
(log1p.f32 (expm1.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphax)))) 2)))
(exp.f32 (*.f32 2 (log.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphax)))))))
(exp.f32 (*.f32 (log.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphax))))) 2))
(exp.f32 (*.f32 (*.f32 2 (log.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphax)))))) 1))
(fma.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphax)))) (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphax)))) 0)
(fma.f32 1 (pow.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphax)))) 2) 0)
(fma.f32 (cbrt.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphax)))) 4)) (pow.f32 (cbrt.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphax))))) 2) 0)
(+.f32 (*.f32 2 (*.f32 (PI.f32) u1)) 0)
(+.f32 (*.f32 2 (*.f32 (PI.f32) u1)) (*.f32 (*.f32 2 (PI.f32)) 0))
(+.f32 (*.f32 2 (*.f32 (PI.f32) u1)) (*.f32 u1 0))
(+.f32 (*.f32 2 (*.f32 (PI.f32) u1)) (*.f32 0 (*.f32 2 (PI.f32))))
(+.f32 (*.f32 2 (*.f32 (PI.f32) u1)) (*.f32 0 u1))
(+.f32 0 (*.f32 2 (*.f32 (PI.f32) u1)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 2 (*.f32 (PI.f32) u1)))) 1)
(/.f32 (pow.f32 (*.f32 2 (*.f32 (PI.f32) u1)) 3) (+.f32 (pow.f32 (*.f32 2 (*.f32 (PI.f32) u1)) 2) (-.f32 0 (*.f32 (*.f32 2 (*.f32 (PI.f32) u1)) 0))))
(/.f32 (-.f32 (pow.f32 (*.f32 2 (*.f32 (PI.f32) u1)) 2) 0) (-.f32 (*.f32 2 (*.f32 (PI.f32) u1)) 0))
(pow.f32 (*.f32 2 (*.f32 (PI.f32) u1)) 1)
(pow.f32 (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) u1))) 3)
(pow.f32 (pow.f32 (*.f32 2 (*.f32 (PI.f32) u1)) 3) 1/3)
(pow.f32 (sqrt.f32 (*.f32 2 (*.f32 (PI.f32) u1))) 2)
(sqrt.f32 (pow.f32 (*.f32 2 (*.f32 (PI.f32) u1)) 2))
(log.f32 (pow.f32 (pow.f32 (exp.f32 2) (PI.f32)) u1))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 2 (*.f32 (PI.f32) u1)))))
(cbrt.f32 (pow.f32 (*.f32 2 (*.f32 (PI.f32) u1)) 3))
(expm1.f32 (log1p.f32 (*.f32 2 (*.f32 (PI.f32) u1))))
(log1p.f32 (expm1.f32 (*.f32 2 (*.f32 (PI.f32) u1))))
(exp.f32 (log.f32 (*.f32 2 (*.f32 (PI.f32) u1))))
(exp.f32 (*.f32 (log.f32 (*.f32 2 (*.f32 (PI.f32) u1))) 1))
(fma.f32 2 (*.f32 (PI.f32) u1) 0)
(fma.f32 (*.f32 2 (PI.f32)) u1 0)
(fma.f32 u1 (*.f32 2 (PI.f32)) 0)
(fma.f32 1 (*.f32 2 (*.f32 (PI.f32) u1)) 0)
(fma.f32 (cbrt.f32 (pow.f32 (*.f32 2 (*.f32 (PI.f32) u1)) 2)) (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) u1))) 0)
(fma.f32 (sqrt.f32 (*.f32 2 (*.f32 (PI.f32) u1))) (sqrt.f32 (*.f32 2 (*.f32 (PI.f32) u1))) 0)

simplify220.0ms (0.1%)

Algorithm
egg-herbie
Rules
621×add0
493×log-prod
383×fma-neg
285×+-commutative
204×fma-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
033512906
1103812034
2358912004
3791612004
Stop Event
node limit
Counts
224 → 191
Calls
Call 1
Inputs
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax)))
(/.f32 (sin.f32 (*.f32 1/2 (PI.f32))) (cos.f32 (*.f32 1/2 (PI.f32))))
(+.f32 (*.f32 u1 (-.f32 (*.f32 2 (PI.f32)) (*.f32 -2 (/.f32 (*.f32 (PI.f32) (pow.f32 (sin.f32 (*.f32 1/2 (PI.f32))) 2)) (pow.f32 (cos.f32 (*.f32 1/2 (PI.f32))) 2))))) (/.f32 (sin.f32 (*.f32 1/2 (PI.f32))) (cos.f32 (*.f32 1/2 (PI.f32)))))
(+.f32 (*.f32 2 (/.f32 (*.f32 (pow.f32 u1 2) (*.f32 (PI.f32) (*.f32 (sin.f32 (*.f32 1/2 (PI.f32))) (-.f32 (*.f32 2 (PI.f32)) (*.f32 -2 (/.f32 (*.f32 (PI.f32) (pow.f32 (sin.f32 (*.f32 1/2 (PI.f32))) 2)) (pow.f32 (cos.f32 (*.f32 1/2 (PI.f32))) 2))))))) (cos.f32 (*.f32 1/2 (PI.f32))))) (+.f32 (*.f32 u1 (-.f32 (*.f32 2 (PI.f32)) (*.f32 -2 (/.f32 (*.f32 (PI.f32) (pow.f32 (sin.f32 (*.f32 1/2 (PI.f32))) 2)) (pow.f32 (cos.f32 (*.f32 1/2 (PI.f32))) 2))))) (/.f32 (sin.f32 (*.f32 1/2 (PI.f32))) (cos.f32 (*.f32 1/2 (PI.f32))))))
(+.f32 (*.f32 2 (/.f32 (*.f32 (pow.f32 u1 2) (*.f32 (PI.f32) (*.f32 (sin.f32 (*.f32 1/2 (PI.f32))) (-.f32 (*.f32 2 (PI.f32)) (*.f32 -2 (/.f32 (*.f32 (PI.f32) (pow.f32 (sin.f32 (*.f32 1/2 (PI.f32))) 2)) (pow.f32 (cos.f32 (*.f32 1/2 (PI.f32))) 2))))))) (cos.f32 (*.f32 1/2 (PI.f32))))) (+.f32 (*.f32 u1 (-.f32 (*.f32 2 (PI.f32)) (*.f32 -2 (/.f32 (*.f32 (PI.f32) (pow.f32 (sin.f32 (*.f32 1/2 (PI.f32))) 2)) (pow.f32 (cos.f32 (*.f32 1/2 (PI.f32))) 2))))) (+.f32 (*.f32 (pow.f32 u1 3) (-.f32 (*.f32 -4/3 (pow.f32 (PI.f32) 3)) (+.f32 (*.f32 -4 (/.f32 (*.f32 (pow.f32 (PI.f32) 2) (*.f32 (pow.f32 (sin.f32 (*.f32 1/2 (PI.f32))) 2) (-.f32 (*.f32 2 (PI.f32)) (*.f32 -2 (/.f32 (*.f32 (PI.f32) (pow.f32 (sin.f32 (*.f32 1/2 (PI.f32))) 2)) (pow.f32 (cos.f32 (*.f32 1/2 (PI.f32))) 2)))))) (pow.f32 (cos.f32 (*.f32 1/2 (PI.f32))) 2))) (+.f32 (*.f32 -2 (*.f32 (pow.f32 (PI.f32) 2) (-.f32 (*.f32 2 (PI.f32)) (*.f32 -2 (/.f32 (*.f32 (PI.f32) (pow.f32 (sin.f32 (*.f32 1/2 (PI.f32))) 2)) (pow.f32 (cos.f32 (*.f32 1/2 (PI.f32))) 2)))))) (*.f32 4/3 (/.f32 (*.f32 (pow.f32 (PI.f32) 3) (pow.f32 (sin.f32 (*.f32 1/2 (PI.f32))) 2)) (pow.f32 (cos.f32 (*.f32 1/2 (PI.f32))) 2))))))) (/.f32 (sin.f32 (*.f32 1/2 (PI.f32))) (cos.f32 (*.f32 1/2 (PI.f32)))))))
(/.f32 (sin.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32))))) (cos.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32))))))
(/.f32 (sin.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32))))) (cos.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32))))))
(/.f32 (sin.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32))))) (cos.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32))))))
(/.f32 (sin.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32))))) (cos.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32))))))
(/.f32 (sin.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32))))) (cos.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32))))))
(/.f32 (sin.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32))))) (cos.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32))))))
(/.f32 (sin.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32))))) (cos.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32))))))
(/.f32 (sin.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32))))) (cos.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32))))))
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax))) 2)
(*.f32 2 (*.f32 u1 (PI.f32)))
(*.f32 2 (*.f32 u1 (PI.f32)))
(*.f32 2 (*.f32 u1 (PI.f32)))
(*.f32 2 (*.f32 u1 (PI.f32)))
(*.f32 2 (*.f32 u1 (PI.f32)))
(*.f32 2 (*.f32 u1 (PI.f32)))
(*.f32 2 (*.f32 u1 (PI.f32)))
(*.f32 2 (*.f32 u1 (PI.f32)))
(*.f32 2 (*.f32 u1 (PI.f32)))
(*.f32 2 (*.f32 u1 (PI.f32)))
(*.f32 2 (*.f32 u1 (PI.f32)))
(*.f32 2 (*.f32 u1 (PI.f32)))
(+.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphax)))) 0)
(+.f32 0 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphax)))))
(-.f32 (exp.f32 (log1p.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphax)))))) 1)
(-.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphax)))) (cos.f32 0)) (*.f32 (sin.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphax)))) (sin.f32 0)))
(*.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphax)))) 1)
(*.f32 1 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphax)))))
(*.f32 (cbrt.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphax))))) (pow.f32 (cbrt.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphax))))) 2))
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(sqrt.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphax)))) 4))
(log.f32 (exp.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphax)))) 2)))
(log.f32 (+.f32 1 (expm1.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphax)))) 2))))
(cbrt.f32 (pow.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphax)))) 2) 3))
(expm1.f32 (log1p.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphax)))) 2)))
(log1p.f32 (expm1.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphax)))) 2)))
(exp.f32 (*.f32 2 (log.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphax)))))))
(exp.f32 (*.f32 (log.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphax))))) 2))
(exp.f32 (*.f32 (*.f32 2 (log.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphax)))))) 1))
(fma.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphax)))) (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphax)))) 0)
(fma.f32 1 (pow.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphax)))) 2) 0)
(fma.f32 (cbrt.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphax)))) 4)) (pow.f32 (cbrt.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphax))))) 2) 0)
(+.f32 (*.f32 2 (*.f32 (PI.f32) u1)) 0)
(+.f32 (*.f32 2 (*.f32 (PI.f32) u1)) (*.f32 (*.f32 2 (PI.f32)) 0))
(+.f32 (*.f32 2 (*.f32 (PI.f32) u1)) (*.f32 u1 0))
(+.f32 (*.f32 2 (*.f32 (PI.f32) u1)) (*.f32 0 (*.f32 2 (PI.f32))))
(+.f32 (*.f32 2 (*.f32 (PI.f32) u1)) (*.f32 0 u1))
(+.f32 0 (*.f32 2 (*.f32 (PI.f32) u1)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 2 (*.f32 (PI.f32) u1)))) 1)
(/.f32 (pow.f32 (*.f32 2 (*.f32 (PI.f32) u1)) 3) (+.f32 (pow.f32 (*.f32 2 (*.f32 (PI.f32) u1)) 2) (-.f32 0 (*.f32 (*.f32 2 (*.f32 (PI.f32) u1)) 0))))
(/.f32 (-.f32 (pow.f32 (*.f32 2 (*.f32 (PI.f32) u1)) 2) 0) (-.f32 (*.f32 2 (*.f32 (PI.f32) u1)) 0))
(pow.f32 (*.f32 2 (*.f32 (PI.f32) u1)) 1)
(pow.f32 (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) u1))) 3)
(pow.f32 (pow.f32 (*.f32 2 (*.f32 (PI.f32) u1)) 3) 1/3)
(pow.f32 (sqrt.f32 (*.f32 2 (*.f32 (PI.f32) u1))) 2)
(sqrt.f32 (pow.f32 (*.f32 2 (*.f32 (PI.f32) u1)) 2))
(log.f32 (pow.f32 (pow.f32 (exp.f32 2) (PI.f32)) u1))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 2 (*.f32 (PI.f32) u1)))))
(cbrt.f32 (pow.f32 (*.f32 2 (*.f32 (PI.f32) u1)) 3))
(expm1.f32 (log1p.f32 (*.f32 2 (*.f32 (PI.f32) u1))))
(log1p.f32 (expm1.f32 (*.f32 2 (*.f32 (PI.f32) u1))))
(exp.f32 (log.f32 (*.f32 2 (*.f32 (PI.f32) u1))))
(exp.f32 (*.f32 (log.f32 (*.f32 2 (*.f32 (PI.f32) u1))) 1))
(fma.f32 2 (*.f32 (PI.f32) u1) 0)
(fma.f32 (*.f32 2 (PI.f32)) u1 0)
(fma.f32 u1 (*.f32 2 (PI.f32)) 0)
(fma.f32 1 (*.f32 2 (*.f32 (PI.f32) u1)) 0)
(fma.f32 (cbrt.f32 (pow.f32 (*.f32 2 (*.f32 (PI.f32) u1)) 2)) (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) u1))) 0)
(fma.f32 (sqrt.f32 (*.f32 2 (*.f32 (PI.f32) u1))) (sqrt.f32 (*.f32 2 (*.f32 (PI.f32) u1))) 0)
Outputs
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 1/2 (PI.f32) (*.f32 (*.f32 (PI.f32) 2) u1))) alphax))))
(cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) alphax))))
(cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) (/.f32 alphay alphax))))
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 1/2 (PI.f32) (*.f32 (*.f32 (PI.f32) 2) u1))) alphax))))
(cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) alphax))))
(cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) (/.f32 alphay alphax))))
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 1/2 (PI.f32) (*.f32 (*.f32 (PI.f32) 2) u1))) alphax))))
(cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) alphax))))
(cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) (/.f32 alphay alphax))))
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 1/2 (PI.f32) (*.f32 (*.f32 (PI.f32) 2) u1))) alphax))))
(cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) alphax))))
(cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) (/.f32 alphay alphax))))
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 1/2 (PI.f32) (*.f32 (*.f32 (PI.f32) 2) u1))) alphax))))
(cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) alphax))))
(cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) (/.f32 alphay alphax))))
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 1/2 (PI.f32) (*.f32 (*.f32 (PI.f32) 2) u1))) alphax))))
(cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) alphax))))
(cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) (/.f32 alphay alphax))))
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 1/2 (PI.f32) (*.f32 (*.f32 (PI.f32) 2) u1))) alphax))))
(cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) alphax))))
(cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) (/.f32 alphay alphax))))
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 1/2 (PI.f32) (*.f32 (*.f32 (PI.f32) 2) u1))) alphax))))
(cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) alphax))))
(cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) (/.f32 alphay alphax))))
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 1/2 (PI.f32) (*.f32 (*.f32 (PI.f32) 2) u1))) alphax))))
(cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) alphax))))
(cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) (/.f32 alphay alphax))))
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 1/2 (PI.f32) (*.f32 (*.f32 (PI.f32) 2) u1))) alphax))))
(cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) alphax))))
(cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) (/.f32 alphay alphax))))
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 1/2 (PI.f32) (*.f32 (*.f32 (PI.f32) 2) u1))) alphax))))
(cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) alphax))))
(cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) (/.f32 alphay alphax))))
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 1/2 (PI.f32) (*.f32 (*.f32 (PI.f32) 2) u1))) alphax))))
(cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) alphax))))
(cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) (/.f32 alphay alphax))))
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 1/2 (PI.f32) (*.f32 (*.f32 (PI.f32) 2) u1))) alphax))))
(cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) alphax))))
(cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) (/.f32 alphay alphax))))
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 1/2 (PI.f32) (*.f32 (*.f32 (PI.f32) 2) u1))) alphax))))
(cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) alphax))))
(cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) (/.f32 alphay alphax))))
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 1/2 (PI.f32) (*.f32 (*.f32 (PI.f32) 2) u1))) alphax))))
(cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) alphax))))
(cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) (/.f32 alphay alphax))))
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 1/2 (PI.f32) (*.f32 (*.f32 (PI.f32) 2) u1))) alphax))))
(cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) alphax))))
(cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) (/.f32 alphay alphax))))
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 1/2 (PI.f32) (*.f32 (*.f32 (PI.f32) 2) u1))) alphax))))
(cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) alphax))))
(cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) (/.f32 alphay alphax))))
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 1/2 (PI.f32) (*.f32 (*.f32 (PI.f32) 2) u1))) alphax))))
(cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) alphax))))
(cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) (/.f32 alphay alphax))))
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 1/2 (PI.f32) (*.f32 (*.f32 (PI.f32) 2) u1))) alphax))))
(cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) alphax))))
(cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) (/.f32 alphay alphax))))
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 1/2 (PI.f32) (*.f32 (*.f32 (PI.f32) 2) u1))) alphax))))
(cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) alphax))))
(cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) (/.f32 alphay alphax))))
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 1/2 (PI.f32) (*.f32 (*.f32 (PI.f32) 2) u1))) alphax))))
(cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) alphax))))
(cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) (/.f32 alphay alphax))))
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 1/2 (PI.f32) (*.f32 (*.f32 (PI.f32) 2) u1))) alphax))))
(cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) alphax))))
(cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) (/.f32 alphay alphax))))
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 1/2 (PI.f32) (*.f32 (*.f32 (PI.f32) 2) u1))) alphax))))
(cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) alphax))))
(cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) (/.f32 alphay alphax))))
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 1/2 (PI.f32) (*.f32 (*.f32 (PI.f32) 2) u1))) alphax))))
(cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) alphax))))
(cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) (/.f32 alphay alphax))))
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax)))
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(+.f32 (*.f32 2 (*.f32 (PI.f32) u1)) 0)
(*.f32 (*.f32 (PI.f32) 2) u1)
(*.f32 (PI.f32) (*.f32 2 u1))
(+.f32 (*.f32 2 (*.f32 (PI.f32) u1)) (*.f32 (*.f32 2 (PI.f32)) 0))
(*.f32 (*.f32 (PI.f32) 2) u1)
(*.f32 (PI.f32) (*.f32 2 u1))
(+.f32 (*.f32 2 (*.f32 (PI.f32) u1)) (*.f32 u1 0))
(*.f32 (*.f32 (PI.f32) 2) u1)
(*.f32 (PI.f32) (*.f32 2 u1))
(+.f32 (*.f32 2 (*.f32 (PI.f32) u1)) (*.f32 0 (*.f32 2 (PI.f32))))
(*.f32 (*.f32 (PI.f32) 2) u1)
(*.f32 (PI.f32) (*.f32 2 u1))
(+.f32 (*.f32 2 (*.f32 (PI.f32) u1)) (*.f32 0 u1))
(*.f32 (*.f32 (PI.f32) 2) u1)
(*.f32 (PI.f32) (*.f32 2 u1))
(+.f32 0 (*.f32 2 (*.f32 (PI.f32) u1)))
(*.f32 (*.f32 (PI.f32) 2) u1)
(*.f32 (PI.f32) (*.f32 2 u1))
(-.f32 (exp.f32 (log1p.f32 (*.f32 2 (*.f32 (PI.f32) u1)))) 1)
(*.f32 (*.f32 (PI.f32) 2) u1)
(*.f32 (PI.f32) (*.f32 2 u1))
(/.f32 (pow.f32 (*.f32 2 (*.f32 (PI.f32) u1)) 3) (+.f32 (pow.f32 (*.f32 2 (*.f32 (PI.f32) u1)) 2) (-.f32 0 (*.f32 (*.f32 2 (*.f32 (PI.f32) u1)) 0))))
(*.f32 (*.f32 (PI.f32) 2) u1)
(*.f32 (PI.f32) (*.f32 2 u1))
(/.f32 (-.f32 (pow.f32 (*.f32 2 (*.f32 (PI.f32) u1)) 2) 0) (-.f32 (*.f32 2 (*.f32 (PI.f32) u1)) 0))
(*.f32 (*.f32 (PI.f32) 2) u1)
(*.f32 (PI.f32) (*.f32 2 u1))
(pow.f32 (*.f32 2 (*.f32 (PI.f32) u1)) 1)
(*.f32 (*.f32 (PI.f32) 2) u1)
(*.f32 (PI.f32) (*.f32 2 u1))
(pow.f32 (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) u1))) 3)
(*.f32 (*.f32 (PI.f32) 2) u1)
(*.f32 (PI.f32) (*.f32 2 u1))
(pow.f32 (pow.f32 (*.f32 2 (*.f32 (PI.f32) u1)) 3) 1/3)
(*.f32 (*.f32 (PI.f32) 2) u1)
(*.f32 (PI.f32) (*.f32 2 u1))
(pow.f32 (sqrt.f32 (*.f32 2 (*.f32 (PI.f32) u1))) 2)
(*.f32 (*.f32 (PI.f32) 2) u1)
(*.f32 (PI.f32) (*.f32 2 u1))
(sqrt.f32 (pow.f32 (*.f32 2 (*.f32 (PI.f32) u1)) 2))
(*.f32 (*.f32 (PI.f32) 2) u1)
(*.f32 (PI.f32) (*.f32 2 u1))
(log.f32 (pow.f32 (pow.f32 (exp.f32 2) (PI.f32)) u1))
(*.f32 (*.f32 (PI.f32) 2) u1)
(*.f32 (PI.f32) (*.f32 2 u1))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 2 (*.f32 (PI.f32) u1)))))
(*.f32 (*.f32 (PI.f32) 2) u1)
(*.f32 (PI.f32) (*.f32 2 u1))
(cbrt.f32 (pow.f32 (*.f32 2 (*.f32 (PI.f32) u1)) 3))
(*.f32 (*.f32 (PI.f32) 2) u1)
(*.f32 (PI.f32) (*.f32 2 u1))
(expm1.f32 (log1p.f32 (*.f32 2 (*.f32 (PI.f32) u1))))
(*.f32 (*.f32 (PI.f32) 2) u1)
(*.f32 (PI.f32) (*.f32 2 u1))
(log1p.f32 (expm1.f32 (*.f32 2 (*.f32 (PI.f32) u1))))
(*.f32 (*.f32 (PI.f32) 2) u1)
(*.f32 (PI.f32) (*.f32 2 u1))
(exp.f32 (log.f32 (*.f32 2 (*.f32 (PI.f32) u1))))
(*.f32 (*.f32 (PI.f32) 2) u1)
(*.f32 (PI.f32) (*.f32 2 u1))
(exp.f32 (*.f32 (log.f32 (*.f32 2 (*.f32 (PI.f32) u1))) 1))
(*.f32 (*.f32 (PI.f32) 2) u1)
(*.f32 (PI.f32) (*.f32 2 u1))
(fma.f32 2 (*.f32 (PI.f32) u1) 0)
(*.f32 (*.f32 (PI.f32) 2) u1)
(*.f32 (PI.f32) (*.f32 2 u1))
(fma.f32 (*.f32 2 (PI.f32)) u1 0)
(*.f32 (*.f32 (PI.f32) 2) u1)
(*.f32 (PI.f32) (*.f32 2 u1))
(fma.f32 u1 (*.f32 2 (PI.f32)) 0)
(*.f32 (*.f32 (PI.f32) 2) u1)
(*.f32 (PI.f32) (*.f32 2 u1))
(fma.f32 1 (*.f32 2 (*.f32 (PI.f32) u1)) 0)
(*.f32 (*.f32 (PI.f32) 2) u1)
(*.f32 (PI.f32) (*.f32 2 u1))
(fma.f32 (cbrt.f32 (pow.f32 (*.f32 2 (*.f32 (PI.f32) u1)) 2)) (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) u1))) 0)
(fma.f32 (cbrt.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) 2) u1) 2)) (cbrt.f32 (*.f32 (*.f32 (PI.f32) 2) u1)) 0)
(*.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 2 u1))) (cbrt.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 2 u1)) 2)))
(fma.f32 (sqrt.f32 (*.f32 2 (*.f32 (PI.f32) u1))) (sqrt.f32 (*.f32 2 (*.f32 (PI.f32) u1))) 0)
(*.f32 (*.f32 (PI.f32) 2) u1)
(*.f32 (PI.f32) (*.f32 2 u1))

eval873.0ms (0.6%)

Compiler

Compiled 49678 to 32574 computations (34.4% saved)

prune198.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New4942496
Fresh000
Picked101
Done000
Total4952497
Accuracy
99.4%
Counts
497 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.4%
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (*.f32 (/.f32 1 (+.f32 (/.f32 (/.f32 1 (+.f32 1 (pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) (/.f32 alphay alphax)) 2))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 1 u0)))))
99.4%
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (*.f32 (/.f32 1 (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (log1p.f32 (expm1.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))))))))) (*.f32 alphay alphay)))) u0) (-.f32 1 u0)))))
Compiler

Compiled 170 to 121 computations (28.8% saved)

localize1.5min (60.5%)

Localize:

Found 8 expressions with local error:

NewAccuracyProgram
99.2%
(pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) (/.f32 alphay alphax)) 2)
93.6%
(tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32))))
93.6%
(tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1))))
50.2%
(PI.f32)
93.6%
(tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32))))
92.8%
(cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32)))))))
75.0%
(log1p.f32 (expm1.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2)))))
50.2%
(PI.f32)
Compiler

Compiled 1668 to 1030 computations (38.2% saved)

series42.0ms (0%)

Counts
5 → 60
Calls

15 calls:

TimeVariablePointExpression
9.0ms
u1
@0
(tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1))))
7.0ms
alphay
@inf
(pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) (/.f32 alphay alphax)) 2)
4.0ms
alphay
@0
(pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) (/.f32 alphay alphax)) 2)
4.0ms
u1
@0
(pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) (/.f32 alphay alphax)) 2)
3.0ms
alphax
@0
(pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) (/.f32 alphay alphax)) 2)

rewrite169.0ms (0.1%)

Algorithm
batch-egg-rewrite
Rules
806×log1p-expm1-u
719×prod-diff
173×add0
164×expm1-log1p-u
161×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
027122
1380102
25469102
Stop Event
node limit
Counts
5 → 149
Calls
Call 1
Inputs
(PI.f32)
(log1p.f32 (expm1.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2)))))
(PI.f32)
(tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1))))
(pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) (/.f32 alphay alphax)) 2)
Outputs
(+.f32 (PI.f32) 0)
(+.f32 0 (PI.f32))
(-.f32 (exp.f32 (log1p.f32 (PI.f32))) 1)
(*.f32 (PI.f32) 1)
(*.f32 1 (PI.f32))
(*.f32 (cbrt.f32 (PI.f32)) (pow.f32 (cbrt.f32 (PI.f32)) 2))
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (cbrt.f32 (PI.f32)))
(*.f32 (sqrt.f32 (PI.f32)) (sqrt.f32 (PI.f32)))
(/.f32 (pow.f32 (PI.f32) 3) (+.f32 (pow.f32 (PI.f32) 2) (-.f32 0 (*.f32 (PI.f32) 0))))
(/.f32 (-.f32 (pow.f32 (PI.f32) 2) 0) (-.f32 (PI.f32) 0))
(pow.f32 (PI.f32) 1)
(pow.f32 (cbrt.f32 (PI.f32)) 3)
(pow.f32 (pow.f32 (PI.f32) 3) 1/3)
(pow.f32 (sqrt.f32 (PI.f32)) 2)
(sqrt.f32 (pow.f32 (PI.f32) 2))
(log.f32 (exp.f32 (PI.f32)))
(log.f32 (+.f32 1 (expm1.f32 (PI.f32))))
(cbrt.f32 (pow.f32 (PI.f32) 3))
(expm1.f32 (log1p.f32 (PI.f32)))
(log1p.f32 (expm1.f32 (PI.f32)))
(exp.f32 (log.f32 (PI.f32)))
(exp.f32 (*.f32 (log.f32 (PI.f32)) 1))
(fma.f32 1 (PI.f32) 0)
(fma.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (cbrt.f32 (PI.f32)) 0)
(fma.f32 (sqrt.f32 (PI.f32)) (sqrt.f32 (PI.f32)) 0)
(+.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) 0)
(+.f32 0 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))
(-.f32 (exp.f32 (log1p.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))) 1)
(*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) 1)
(*.f32 1 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))
(*.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 1 (cos.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))
(*.f32 (cbrt.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))) (cbrt.f32 (pow.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) 2)))
(*.f32 (cbrt.f32 (pow.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) 2)) (cbrt.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))
(*.f32 (sqrt.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))) (sqrt.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))
(/.f32 1 (/.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (sin.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))
(/.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (cos.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))
(/.f32 (pow.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) 3) (+.f32 (pow.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) 2) (-.f32 0 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) 0))))
(/.f32 (+.f32 (tan.f32 (*.f32 (PI.f32) 1/2)) (tan.f32 (*.f32 (PI.f32) (*.f32 2 u1)))) (-.f32 1 (*.f32 (tan.f32 (*.f32 (PI.f32) 1/2)) (tan.f32 (*.f32 (PI.f32) (*.f32 2 u1))))))
(/.f32 (+.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (tan.f32 0)) (-.f32 1 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (tan.f32 0))))
(/.f32 (+.f32 (tan.f32 (*.f32 (PI.f32) (*.f32 2 u1))) (tan.f32 (*.f32 (PI.f32) 1/2))) (-.f32 1 (*.f32 (tan.f32 (*.f32 (PI.f32) (*.f32 2 u1))) (tan.f32 (*.f32 (PI.f32) 1/2)))))
(/.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))) (neg.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))
(/.f32 (-.f32 (pow.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) 2) 0) (-.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) 0))
(pow.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) 1)
(pow.f32 (cbrt.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))) 3)
(pow.f32 (pow.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) 3) 1/3)
(pow.f32 (sqrt.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))) 2)
(sqrt.f32 (pow.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) 2))
(log.f32 (exp.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))
(cbrt.f32 (pow.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) 3))
(expm1.f32 (log1p.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))
(exp.f32 (log.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))
(exp.f32 (*.f32 (log.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))) 1))
(tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))
(fma.f32 1 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) 0)
(fma.f32 (cbrt.f32 (pow.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) 2)) (cbrt.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))) 0)
(fma.f32 (sqrt.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))) (sqrt.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))) 0)
(+.f32 (PI.f32) 0)
(+.f32 0 (PI.f32))
(-.f32 (exp.f32 (log1p.f32 (PI.f32))) 1)
(*.f32 (PI.f32) 1)
(*.f32 1 (PI.f32))
(*.f32 (cbrt.f32 (PI.f32)) (pow.f32 (cbrt.f32 (PI.f32)) 2))
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (cbrt.f32 (PI.f32)))
(*.f32 (sqrt.f32 (PI.f32)) (sqrt.f32 (PI.f32)))
(/.f32 (pow.f32 (PI.f32) 3) (+.f32 (pow.f32 (PI.f32) 2) (-.f32 0 (*.f32 (PI.f32) 0))))
(/.f32 (-.f32 (pow.f32 (PI.f32) 2) 0) (-.f32 (PI.f32) 0))
(pow.f32 (PI.f32) 1)
(pow.f32 (cbrt.f32 (PI.f32)) 3)
(pow.f32 (pow.f32 (PI.f32) 3) 1/3)
(pow.f32 (sqrt.f32 (PI.f32)) 2)
(sqrt.f32 (pow.f32 (PI.f32) 2))
(log.f32 (exp.f32 (PI.f32)))
(log.f32 (+.f32 1 (expm1.f32 (PI.f32))))
(cbrt.f32 (pow.f32 (PI.f32) 3))
(expm1.f32 (log1p.f32 (PI.f32)))
(log1p.f32 (expm1.f32 (PI.f32)))
(exp.f32 (log.f32 (PI.f32)))
(exp.f32 (*.f32 (log.f32 (PI.f32)) 1))
(fma.f32 1 (PI.f32) 0)
(fma.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (cbrt.f32 (PI.f32)) 0)
(fma.f32 (sqrt.f32 (PI.f32)) (sqrt.f32 (PI.f32)) 0)
(+.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) 0)
(+.f32 0 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))
(-.f32 (exp.f32 (log1p.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))) 1)
(*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) 1)
(*.f32 1 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))
(*.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 1 (cos.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))
(*.f32 (cbrt.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))) (cbrt.f32 (pow.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) 2)))
(*.f32 (cbrt.f32 (pow.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) 2)) (cbrt.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))
(*.f32 (sqrt.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))) (sqrt.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))
(/.f32 1 (/.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (sin.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))
(/.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (cos.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))
(/.f32 (pow.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) 3) (+.f32 (pow.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) 2) (-.f32 0 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) 0))))
(/.f32 (+.f32 (tan.f32 (*.f32 (PI.f32) 1/2)) (tan.f32 (*.f32 (PI.f32) (*.f32 2 u1)))) (-.f32 1 (*.f32 (tan.f32 (*.f32 (PI.f32) 1/2)) (tan.f32 (*.f32 (PI.f32) (*.f32 2 u1))))))
(/.f32 (+.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (tan.f32 0)) (-.f32 1 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (tan.f32 0))))
(/.f32 (+.f32 (tan.f32 (*.f32 (PI.f32) (*.f32 2 u1))) (tan.f32 (*.f32 (PI.f32) 1/2))) (-.f32 1 (*.f32 (tan.f32 (*.f32 (PI.f32) (*.f32 2 u1))) (tan.f32 (*.f32 (PI.f32) 1/2)))))
(/.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))) (neg.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))
(/.f32 (-.f32 (pow.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) 2) 0) (-.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) 0))
(pow.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) 1)
(pow.f32 (cbrt.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))) 3)
(pow.f32 (pow.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) 3) 1/3)
(pow.f32 (sqrt.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))) 2)
(sqrt.f32 (pow.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) 2))
(log.f32 (exp.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))
(cbrt.f32 (pow.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) 3))
(expm1.f32 (log1p.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))
(log1p.f32 (expm1.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))
(exp.f32 (log.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))
(exp.f32 (*.f32 (log.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))) 1))
(fma.f32 1 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) 0)
(fma.f32 (cbrt.f32 (pow.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) 2)) (cbrt.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))) 0)
(fma.f32 (sqrt.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))) (sqrt.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))) 0)
(+.f32 (pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2) 0)
(+.f32 (pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2) (*.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 0))
(+.f32 (pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2) (*.f32 0 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax))))
(+.f32 0 (pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2))
(-.f32 (exp.f32 (log1p.f32 (pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2))) 1)
(*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (*.f32 (/.f32 alphay alphax) (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax))))
(*.f32 (/.f32 alphay alphax) (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax))))
(*.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)))
(*.f32 (pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2) 1)
(*.f32 1 (pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2))
(*.f32 (pow.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) 2) (pow.f32 (/.f32 alphay alphax) 2))
(*.f32 (pow.f32 (/.f32 alphay alphax) 2) (pow.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) 2))
(*.f32 (pow.f32 (cbrt.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax))) 2) (cbrt.f32 (pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 4)))
(*.f32 (pow.f32 (cbrt.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax))) 2) (*.f32 (cbrt.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax))) (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax))))
(*.f32 (cbrt.f32 (pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 4)) (pow.f32 (cbrt.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax))) 2))
(*.f32 (sqrt.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax))) (*.f32 (sqrt.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax))) (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax))))
(*.f32 (*.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) (sqrt.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)))) (sqrt.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax))))
(*.f32 (*.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))) (/.f32 alphay alphax))
(*.f32 (*.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) (/.f32 alphay alphax)) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))
(*.f32 (*.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) (pow.f32 (cbrt.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax))) 2)) (cbrt.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax))))
(/.f32 (pow.f32 (pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2) 3) (+.f32 (pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 4) (-.f32 0 (*.f32 (pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2) 0))))
(/.f32 (*.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphay) (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphay)) (pow.f32 alphax 2))
(/.f32 (-.f32 (pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 4) 0) (-.f32 (pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2) 0))
(/.f32 (*.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphay)) alphax)
(/.f32 (*.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphay) (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax))) alphax)
(sqrt.f32 (pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 4))
(log.f32 (exp.f32 (pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2)))
(log.f32 (+.f32 1 (expm1.f32 (pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2))))
(cbrt.f32 (pow.f32 (pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2) 3))
(expm1.f32 (log1p.f32 (pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2)))
(log1p.f32 (expm1.f32 (pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2)))
(exp.f32 (*.f32 2 (log.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)))))
(exp.f32 (*.f32 (*.f32 2 (log.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)))) 1))
(fma.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 0)
(fma.f32 1 (pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2) 0)
(fma.f32 (pow.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) 2) (pow.f32 (/.f32 alphay alphax) 2) 0)
(fma.f32 (cbrt.f32 (pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 4)) (pow.f32 (cbrt.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax))) 2) 0)

simplify234.0ms (0.2%)

Algorithm
egg-herbie
Rules
684×add0
345×associate-*r*
330×associate-*l*
279×fma-define
259×fma-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031112153
1103811739
2481011739
Stop Event
node limit
Counts
209 → 143
Calls
Call 1
Inputs
(/.f32 (sin.f32 (*.f32 1/2 (PI.f32))) (cos.f32 (*.f32 1/2 (PI.f32))))
(+.f32 (*.f32 u1 (-.f32 (*.f32 2 (PI.f32)) (*.f32 -2 (/.f32 (*.f32 (PI.f32) (pow.f32 (sin.f32 (*.f32 1/2 (PI.f32))) 2)) (pow.f32 (cos.f32 (*.f32 1/2 (PI.f32))) 2))))) (/.f32 (sin.f32 (*.f32 1/2 (PI.f32))) (cos.f32 (*.f32 1/2 (PI.f32)))))
(+.f32 (*.f32 2 (/.f32 (*.f32 (pow.f32 u1 2) (*.f32 (PI.f32) (*.f32 (sin.f32 (*.f32 1/2 (PI.f32))) (-.f32 (*.f32 2 (PI.f32)) (*.f32 -2 (/.f32 (*.f32 (PI.f32) (pow.f32 (sin.f32 (*.f32 1/2 (PI.f32))) 2)) (pow.f32 (cos.f32 (*.f32 1/2 (PI.f32))) 2))))))) (cos.f32 (*.f32 1/2 (PI.f32))))) (+.f32 (*.f32 u1 (-.f32 (*.f32 2 (PI.f32)) (*.f32 -2 (/.f32 (*.f32 (PI.f32) (pow.f32 (sin.f32 (*.f32 1/2 (PI.f32))) 2)) (pow.f32 (cos.f32 (*.f32 1/2 (PI.f32))) 2))))) (/.f32 (sin.f32 (*.f32 1/2 (PI.f32))) (cos.f32 (*.f32 1/2 (PI.f32))))))
(+.f32 (*.f32 2 (/.f32 (*.f32 (pow.f32 u1 2) (*.f32 (PI.f32) (*.f32 (sin.f32 (*.f32 1/2 (PI.f32))) (-.f32 (*.f32 2 (PI.f32)) (*.f32 -2 (/.f32 (*.f32 (PI.f32) (pow.f32 (sin.f32 (*.f32 1/2 (PI.f32))) 2)) (pow.f32 (cos.f32 (*.f32 1/2 (PI.f32))) 2))))))) (cos.f32 (*.f32 1/2 (PI.f32))))) (+.f32 (*.f32 u1 (-.f32 (*.f32 2 (PI.f32)) (*.f32 -2 (/.f32 (*.f32 (PI.f32) (pow.f32 (sin.f32 (*.f32 1/2 (PI.f32))) 2)) (pow.f32 (cos.f32 (*.f32 1/2 (PI.f32))) 2))))) (+.f32 (*.f32 (pow.f32 u1 3) (-.f32 (*.f32 -4/3 (pow.f32 (PI.f32) 3)) (+.f32 (*.f32 -4 (/.f32 (*.f32 (pow.f32 (PI.f32) 2) (*.f32 (pow.f32 (sin.f32 (*.f32 1/2 (PI.f32))) 2) (-.f32 (*.f32 2 (PI.f32)) (*.f32 -2 (/.f32 (*.f32 (PI.f32) (pow.f32 (sin.f32 (*.f32 1/2 (PI.f32))) 2)) (pow.f32 (cos.f32 (*.f32 1/2 (PI.f32))) 2)))))) (pow.f32 (cos.f32 (*.f32 1/2 (PI.f32))) 2))) (+.f32 (*.f32 -2 (*.f32 (pow.f32 (PI.f32) 2) (-.f32 (*.f32 2 (PI.f32)) (*.f32 -2 (/.f32 (*.f32 (PI.f32) (pow.f32 (sin.f32 (*.f32 1/2 (PI.f32))) 2)) (pow.f32 (cos.f32 (*.f32 1/2 (PI.f32))) 2)))))) (*.f32 4/3 (/.f32 (*.f32 (pow.f32 (PI.f32) 3) (pow.f32 (sin.f32 (*.f32 1/2 (PI.f32))) 2)) (pow.f32 (cos.f32 (*.f32 1/2 (PI.f32))) 2))))))) (/.f32 (sin.f32 (*.f32 1/2 (PI.f32))) (cos.f32 (*.f32 1/2 (PI.f32)))))))
(/.f32 (sin.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32))))) (cos.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32))))))
(/.f32 (sin.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32))))) (cos.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32))))))
(/.f32 (sin.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32))))) (cos.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32))))))
(/.f32 (sin.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32))))) (cos.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32))))))
(/.f32 (sin.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32))))) (cos.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32))))))
(/.f32 (sin.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32))))) (cos.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32))))))
(/.f32 (sin.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32))))) (cos.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32))))))
(/.f32 (sin.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32))))) (cos.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32))))))
(/.f32 (sin.f32 (*.f32 1/2 (PI.f32))) (cos.f32 (*.f32 1/2 (PI.f32))))
(+.f32 (*.f32 u1 (-.f32 (*.f32 2 (PI.f32)) (*.f32 -2 (/.f32 (*.f32 (PI.f32) (pow.f32 (sin.f32 (*.f32 1/2 (PI.f32))) 2)) (pow.f32 (cos.f32 (*.f32 1/2 (PI.f32))) 2))))) (/.f32 (sin.f32 (*.f32 1/2 (PI.f32))) (cos.f32 (*.f32 1/2 (PI.f32)))))
(+.f32 (*.f32 2 (/.f32 (*.f32 (pow.f32 u1 2) (*.f32 (PI.f32) (*.f32 (sin.f32 (*.f32 1/2 (PI.f32))) (-.f32 (*.f32 2 (PI.f32)) (*.f32 -2 (/.f32 (*.f32 (PI.f32) (pow.f32 (sin.f32 (*.f32 1/2 (PI.f32))) 2)) (pow.f32 (cos.f32 (*.f32 1/2 (PI.f32))) 2))))))) (cos.f32 (*.f32 1/2 (PI.f32))))) (+.f32 (*.f32 u1 (-.f32 (*.f32 2 (PI.f32)) (*.f32 -2 (/.f32 (*.f32 (PI.f32) (pow.f32 (sin.f32 (*.f32 1/2 (PI.f32))) 2)) (pow.f32 (cos.f32 (*.f32 1/2 (PI.f32))) 2))))) (/.f32 (sin.f32 (*.f32 1/2 (PI.f32))) (cos.f32 (*.f32 1/2 (PI.f32))))))
(+.f32 (*.f32 2 (/.f32 (*.f32 (pow.f32 u1 2) (*.f32 (PI.f32) (*.f32 (sin.f32 (*.f32 1/2 (PI.f32))) (-.f32 (*.f32 2 (PI.f32)) (*.f32 -2 (/.f32 (*.f32 (PI.f32) (pow.f32 (sin.f32 (*.f32 1/2 (PI.f32))) 2)) (pow.f32 (cos.f32 (*.f32 1/2 (PI.f32))) 2))))))) (cos.f32 (*.f32 1/2 (PI.f32))))) (+.f32 (*.f32 u1 (-.f32 (*.f32 2 (PI.f32)) (*.f32 -2 (/.f32 (*.f32 (PI.f32) (pow.f32 (sin.f32 (*.f32 1/2 (PI.f32))) 2)) (pow.f32 (cos.f32 (*.f32 1/2 (PI.f32))) 2))))) (+.f32 (*.f32 (pow.f32 u1 3) (-.f32 (*.f32 -4/3 (pow.f32 (PI.f32) 3)) (+.f32 (*.f32 -4 (/.f32 (*.f32 (pow.f32 (PI.f32) 2) (*.f32 (pow.f32 (sin.f32 (*.f32 1/2 (PI.f32))) 2) (-.f32 (*.f32 2 (PI.f32)) (*.f32 -2 (/.f32 (*.f32 (PI.f32) (pow.f32 (sin.f32 (*.f32 1/2 (PI.f32))) 2)) (pow.f32 (cos.f32 (*.f32 1/2 (PI.f32))) 2)))))) (pow.f32 (cos.f32 (*.f32 1/2 (PI.f32))) 2))) (+.f32 (*.f32 -2 (*.f32 (pow.f32 (PI.f32) 2) (-.f32 (*.f32 2 (PI.f32)) (*.f32 -2 (/.f32 (*.f32 (PI.f32) (pow.f32 (sin.f32 (*.f32 1/2 (PI.f32))) 2)) (pow.f32 (cos.f32 (*.f32 1/2 (PI.f32))) 2)))))) (*.f32 4/3 (/.f32 (*.f32 (pow.f32 (PI.f32) 3) (pow.f32 (sin.f32 (*.f32 1/2 (PI.f32))) 2)) (pow.f32 (cos.f32 (*.f32 1/2 (PI.f32))) 2))))))) (/.f32 (sin.f32 (*.f32 1/2 (PI.f32))) (cos.f32 (*.f32 1/2 (PI.f32)))))))
(/.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) (cos.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))))
(/.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) (cos.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))))
(/.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) (cos.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))))
(/.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) (cos.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))))
(/.f32 (sin.f32 (*.f32 (PI.f32) (-.f32 1/2 (*.f32 -2 u1)))) (cos.f32 (*.f32 (PI.f32) (-.f32 1/2 (*.f32 -2 u1)))))
(/.f32 (sin.f32 (*.f32 (PI.f32) (-.f32 1/2 (*.f32 -2 u1)))) (cos.f32 (*.f32 (PI.f32) (-.f32 1/2 (*.f32 -2 u1)))))
(/.f32 (sin.f32 (*.f32 (PI.f32) (-.f32 1/2 (*.f32 -2 u1)))) (cos.f32 (*.f32 (PI.f32) (-.f32 1/2 (*.f32 -2 u1)))))
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(tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))
(fma.f32 1 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) 0)
(fma.f32 (cbrt.f32 (pow.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) 2)) (cbrt.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))) 0)
(fma.f32 (sqrt.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))) (sqrt.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))) 0)
(+.f32 (PI.f32) 0)
(+.f32 0 (PI.f32))
(-.f32 (exp.f32 (log1p.f32 (PI.f32))) 1)
(*.f32 (PI.f32) 1)
(*.f32 1 (PI.f32))
(*.f32 (cbrt.f32 (PI.f32)) (pow.f32 (cbrt.f32 (PI.f32)) 2))
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (cbrt.f32 (PI.f32)))
(*.f32 (sqrt.f32 (PI.f32)) (sqrt.f32 (PI.f32)))
(/.f32 (pow.f32 (PI.f32) 3) (+.f32 (pow.f32 (PI.f32) 2) (-.f32 0 (*.f32 (PI.f32) 0))))
(/.f32 (-.f32 (pow.f32 (PI.f32) 2) 0) (-.f32 (PI.f32) 0))
(pow.f32 (PI.f32) 1)
(pow.f32 (cbrt.f32 (PI.f32)) 3)
(pow.f32 (pow.f32 (PI.f32) 3) 1/3)
(pow.f32 (sqrt.f32 (PI.f32)) 2)
(sqrt.f32 (pow.f32 (PI.f32) 2))
(log.f32 (exp.f32 (PI.f32)))
(log.f32 (+.f32 1 (expm1.f32 (PI.f32))))
(cbrt.f32 (pow.f32 (PI.f32) 3))
(expm1.f32 (log1p.f32 (PI.f32)))
(log1p.f32 (expm1.f32 (PI.f32)))
(exp.f32 (log.f32 (PI.f32)))
(exp.f32 (*.f32 (log.f32 (PI.f32)) 1))
(fma.f32 1 (PI.f32) 0)
(fma.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (cbrt.f32 (PI.f32)) 0)
(fma.f32 (sqrt.f32 (PI.f32)) (sqrt.f32 (PI.f32)) 0)
(+.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) 0)
(+.f32 0 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))
(-.f32 (exp.f32 (log1p.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))) 1)
(*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) 1)
(*.f32 1 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))
(*.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 1 (cos.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))
(*.f32 (cbrt.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))) (cbrt.f32 (pow.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) 2)))
(*.f32 (cbrt.f32 (pow.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) 2)) (cbrt.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))
(*.f32 (sqrt.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))) (sqrt.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))
(/.f32 1 (/.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (sin.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))
(/.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (cos.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))
(/.f32 (pow.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) 3) (+.f32 (pow.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) 2) (-.f32 0 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) 0))))
(/.f32 (+.f32 (tan.f32 (*.f32 (PI.f32) 1/2)) (tan.f32 (*.f32 (PI.f32) (*.f32 2 u1)))) (-.f32 1 (*.f32 (tan.f32 (*.f32 (PI.f32) 1/2)) (tan.f32 (*.f32 (PI.f32) (*.f32 2 u1))))))
(/.f32 (+.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (tan.f32 0)) (-.f32 1 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (tan.f32 0))))
(/.f32 (+.f32 (tan.f32 (*.f32 (PI.f32) (*.f32 2 u1))) (tan.f32 (*.f32 (PI.f32) 1/2))) (-.f32 1 (*.f32 (tan.f32 (*.f32 (PI.f32) (*.f32 2 u1))) (tan.f32 (*.f32 (PI.f32) 1/2)))))
(/.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))) (neg.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))
(/.f32 (-.f32 (pow.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) 2) 0) (-.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) 0))
(pow.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) 1)
(pow.f32 (cbrt.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))) 3)
(pow.f32 (pow.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) 3) 1/3)
(pow.f32 (sqrt.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))) 2)
(sqrt.f32 (pow.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) 2))
(log.f32 (exp.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))
(cbrt.f32 (pow.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) 3))
(expm1.f32 (log1p.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))
(log1p.f32 (expm1.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))
(exp.f32 (log.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))
(exp.f32 (*.f32 (log.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))) 1))
(fma.f32 1 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) 0)
(fma.f32 (cbrt.f32 (pow.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) 2)) (cbrt.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))) 0)
(fma.f32 (sqrt.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))) (sqrt.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))) 0)
(+.f32 (pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2) 0)
(+.f32 (pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2) (*.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 0))
(+.f32 (pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2) (*.f32 0 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax))))
(+.f32 0 (pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2))
(-.f32 (exp.f32 (log1p.f32 (pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2))) 1)
(*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (*.f32 (/.f32 alphay alphax) (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax))))
(*.f32 (/.f32 alphay alphax) (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax))))
(*.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)))
(*.f32 (pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2) 1)
(*.f32 1 (pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2))
(*.f32 (pow.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) 2) (pow.f32 (/.f32 alphay alphax) 2))
(*.f32 (pow.f32 (/.f32 alphay alphax) 2) (pow.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) 2))
(*.f32 (pow.f32 (cbrt.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax))) 2) (cbrt.f32 (pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 4)))
(*.f32 (pow.f32 (cbrt.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax))) 2) (*.f32 (cbrt.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax))) (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax))))
(*.f32 (cbrt.f32 (pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 4)) (pow.f32 (cbrt.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax))) 2))
(*.f32 (sqrt.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax))) (*.f32 (sqrt.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax))) (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax))))
(*.f32 (*.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) (sqrt.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)))) (sqrt.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax))))
(*.f32 (*.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))) (/.f32 alphay alphax))
(*.f32 (*.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) (/.f32 alphay alphax)) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))
(*.f32 (*.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) (pow.f32 (cbrt.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax))) 2)) (cbrt.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax))))
(/.f32 (pow.f32 (pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2) 3) (+.f32 (pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 4) (-.f32 0 (*.f32 (pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2) 0))))
(/.f32 (*.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphay) (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphay)) (pow.f32 alphax 2))
(/.f32 (-.f32 (pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 4) 0) (-.f32 (pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2) 0))
(/.f32 (*.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphay)) alphax)
(/.f32 (*.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphay) (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax))) alphax)
(sqrt.f32 (pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 4))
(log.f32 (exp.f32 (pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2)))
(log.f32 (+.f32 1 (expm1.f32 (pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2))))
(cbrt.f32 (pow.f32 (pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2) 3))
(expm1.f32 (log1p.f32 (pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2)))
(log1p.f32 (expm1.f32 (pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2)))
(exp.f32 (*.f32 2 (log.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)))))
(exp.f32 (*.f32 (*.f32 2 (log.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)))) 1))
(fma.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 0)
(fma.f32 1 (pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2) 0)
(fma.f32 (pow.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) 2) (pow.f32 (/.f32 alphay alphax) 2) 0)
(fma.f32 (cbrt.f32 (pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 4)) (pow.f32 (cbrt.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax))) 2) 0)
Outputs
(/.f32 (sin.f32 (*.f32 1/2 (PI.f32))) (cos.f32 (*.f32 1/2 (PI.f32))))
(+.f32 (*.f32 u1 (-.f32 (*.f32 2 (PI.f32)) (*.f32 -2 (/.f32 (*.f32 (PI.f32) (pow.f32 (sin.f32 (*.f32 1/2 (PI.f32))) 2)) (pow.f32 (cos.f32 (*.f32 1/2 (PI.f32))) 2))))) (/.f32 (sin.f32 (*.f32 1/2 (PI.f32))) (cos.f32 (*.f32 1/2 (PI.f32)))))
(fma.f32 u1 (+.f32 (*.f32 (PI.f32) 2) (*.f32 2 (*.f32 (PI.f32) (/.f32 (pow.f32 (sin.f32 (*.f32 1/2 (PI.f32))) 2) (pow.f32 (cos.f32 (*.f32 1/2 (PI.f32))) 2))))) (/.f32 (sin.f32 (*.f32 1/2 (PI.f32))) (cos.f32 (*.f32 1/2 (PI.f32)))))
(fma.f32 u1 (*.f32 2 (+.f32 (PI.f32) (*.f32 (pow.f32 (sin.f32 (*.f32 1/2 (PI.f32))) 2) (/.f32 (PI.f32) (pow.f32 (cos.f32 (*.f32 1/2 (PI.f32))) 2))))) (/.f32 (sin.f32 (*.f32 1/2 (PI.f32))) (cos.f32 (*.f32 1/2 (PI.f32)))))
(fma.f32 u1 (*.f32 2 (+.f32 (PI.f32) (*.f32 (PI.f32) (/.f32 (pow.f32 (sin.f32 (*.f32 1/2 (PI.f32))) 2) (pow.f32 (cos.f32 (*.f32 1/2 (PI.f32))) 2))))) (/.f32 (sin.f32 (*.f32 1/2 (PI.f32))) (cos.f32 (*.f32 1/2 (PI.f32)))))
(+.f32 (*.f32 2 (/.f32 (*.f32 (pow.f32 u1 2) (*.f32 (PI.f32) (*.f32 (sin.f32 (*.f32 1/2 (PI.f32))) (-.f32 (*.f32 2 (PI.f32)) (*.f32 -2 (/.f32 (*.f32 (PI.f32) (pow.f32 (sin.f32 (*.f32 1/2 (PI.f32))) 2)) (pow.f32 (cos.f32 (*.f32 1/2 (PI.f32))) 2))))))) (cos.f32 (*.f32 1/2 (PI.f32))))) (+.f32 (*.f32 u1 (-.f32 (*.f32 2 (PI.f32)) (*.f32 -2 (/.f32 (*.f32 (PI.f32) (pow.f32 (sin.f32 (*.f32 1/2 (PI.f32))) 2)) (pow.f32 (cos.f32 (*.f32 1/2 (PI.f32))) 2))))) (/.f32 (sin.f32 (*.f32 1/2 (PI.f32))) (cos.f32 (*.f32 1/2 (PI.f32))))))
(fma.f32 2 (*.f32 (pow.f32 u1 2) (/.f32 (*.f32 (PI.f32) (*.f32 (sin.f32 (*.f32 1/2 (PI.f32))) (+.f32 (*.f32 (PI.f32) 2) (*.f32 2 (*.f32 (PI.f32) (/.f32 (pow.f32 (sin.f32 (*.f32 1/2 (PI.f32))) 2) (pow.f32 (cos.f32 (*.f32 1/2 (PI.f32))) 2))))))) (cos.f32 (*.f32 1/2 (PI.f32))))) (fma.f32 u1 (+.f32 (*.f32 (PI.f32) 2) (*.f32 2 (*.f32 (PI.f32) (/.f32 (pow.f32 (sin.f32 (*.f32 1/2 (PI.f32))) 2) (pow.f32 (cos.f32 (*.f32 1/2 (PI.f32))) 2))))) (/.f32 (sin.f32 (*.f32 1/2 (PI.f32))) (cos.f32 (*.f32 1/2 (PI.f32))))))
(fma.f32 2 (*.f32 (pow.f32 u1 2) (*.f32 (PI.f32) (/.f32 (*.f32 (sin.f32 (*.f32 1/2 (PI.f32))) (*.f32 2 (+.f32 (PI.f32) (*.f32 (pow.f32 (sin.f32 (*.f32 1/2 (PI.f32))) 2) (/.f32 (PI.f32) (pow.f32 (cos.f32 (*.f32 1/2 (PI.f32))) 2)))))) (cos.f32 (*.f32 1/2 (PI.f32)))))) (fma.f32 u1 (*.f32 2 (+.f32 (PI.f32) (*.f32 (pow.f32 (sin.f32 (*.f32 1/2 (PI.f32))) 2) (/.f32 (PI.f32) (pow.f32 (cos.f32 (*.f32 1/2 (PI.f32))) 2))))) (/.f32 (sin.f32 (*.f32 1/2 (PI.f32))) (cos.f32 (*.f32 1/2 (PI.f32))))))
(fma.f32 2 (*.f32 (*.f32 (*.f32 2 (+.f32 (PI.f32) (*.f32 (PI.f32) (/.f32 (pow.f32 (sin.f32 (*.f32 1/2 (PI.f32))) 2) (pow.f32 (cos.f32 (*.f32 1/2 (PI.f32))) 2))))) (*.f32 (PI.f32) (sin.f32 (*.f32 1/2 (PI.f32))))) (/.f32 (pow.f32 u1 2) (cos.f32 (*.f32 1/2 (PI.f32))))) (fma.f32 u1 (*.f32 2 (+.f32 (PI.f32) (*.f32 (PI.f32) (/.f32 (pow.f32 (sin.f32 (*.f32 1/2 (PI.f32))) 2) (pow.f32 (cos.f32 (*.f32 1/2 (PI.f32))) 2))))) (/.f32 (sin.f32 (*.f32 1/2 (PI.f32))) (cos.f32 (*.f32 1/2 (PI.f32))))))
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(pow.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 u1 2 1/2))) alphax)) 2)
(/.f32 (*.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphay)) alphax)
(pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2)
(pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 u1 2 1/2))) (/.f32 alphay alphax)) 2)
(pow.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 u1 2 1/2))) alphax)) 2)
(/.f32 (*.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphay) (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax))) alphax)
(pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2)
(pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 u1 2 1/2))) (/.f32 alphay alphax)) 2)
(pow.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 u1 2 1/2))) alphax)) 2)
(sqrt.f32 (pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 4))
(pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2)
(pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 u1 2 1/2))) (/.f32 alphay alphax)) 2)
(pow.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 u1 2 1/2))) alphax)) 2)
(log.f32 (exp.f32 (pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2)))
(pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2)
(pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 u1 2 1/2))) (/.f32 alphay alphax)) 2)
(pow.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 u1 2 1/2))) alphax)) 2)
(log.f32 (+.f32 1 (expm1.f32 (pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2))))
(pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2)
(pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 u1 2 1/2))) (/.f32 alphay alphax)) 2)
(pow.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 u1 2 1/2))) alphax)) 2)
(cbrt.f32 (pow.f32 (pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2) 3))
(pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2)
(pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 u1 2 1/2))) (/.f32 alphay alphax)) 2)
(pow.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 u1 2 1/2))) alphax)) 2)
(expm1.f32 (log1p.f32 (pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2)))
(expm1.f32 (log1p.f32 (pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 u1 2 1/2))) (/.f32 alphay alphax)) 2)))
(expm1.f32 (log1p.f32 (pow.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 u1 2 1/2))) alphax)) 2)))
(log1p.f32 (expm1.f32 (pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2)))
(pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2)
(pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 u1 2 1/2))) (/.f32 alphay alphax)) 2)
(pow.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 u1 2 1/2))) alphax)) 2)
(exp.f32 (*.f32 2 (log.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)))))
(pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2)
(pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 u1 2 1/2))) (/.f32 alphay alphax)) 2)
(pow.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 u1 2 1/2))) alphax)) 2)
(exp.f32 (*.f32 (*.f32 2 (log.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)))) 1))
(pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2)
(pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 u1 2 1/2))) (/.f32 alphay alphax)) 2)
(pow.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 u1 2 1/2))) alphax)) 2)
(fma.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 0)
(pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2)
(pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 u1 2 1/2))) (/.f32 alphay alphax)) 2)
(pow.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 u1 2 1/2))) alphax)) 2)
(fma.f32 1 (pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2) 0)
(pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2)
(pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 u1 2 1/2))) (/.f32 alphay alphax)) 2)
(pow.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 u1 2 1/2))) alphax)) 2)
(fma.f32 (pow.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) 2) (pow.f32 (/.f32 alphay alphax) 2) 0)
(pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2)
(pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 u1 2 1/2))) (/.f32 alphay alphax)) 2)
(pow.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 u1 2 1/2))) alphax)) 2)
(fma.f32 (cbrt.f32 (pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 4)) (pow.f32 (cbrt.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax))) 2) 0)
(*.f32 (pow.f32 (cbrt.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax))) 2) (cbrt.f32 (pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 4)))
(*.f32 (pow.f32 (cbrt.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 u1 2 1/2))) (/.f32 alphay alphax))) 2) (cbrt.f32 (pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 u1 2 1/2))) (/.f32 alphay alphax)) 4)))
(*.f32 (pow.f32 (cbrt.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 u1 2 1/2))) alphax))) 2) (cbrt.f32 (pow.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 u1 2 1/2))) alphax)) 4)))

eval3.1s (2.1%)

Compiler

Compiled 108133 to 71487 computations (33.9% saved)

prune435.0ms (0.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New108721089
Fresh000
Picked202
Done000
Total108921091
Accuracy
99.4%
Counts
1091 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.4%
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (*.f32 (/.f32 1 (+.f32 (/.f32 (/.f32 1 (+.f32 1 (pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) (/.f32 alphay alphax)) 2))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))))))) (*.f32 alphay alphay)))) u0) (-.f32 1 u0)))))
99.4%
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (*.f32 (/.f32 1 (+.f32 (/.f32 (/.f32 1 (+.f32 1 (pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) (/.f32 alphay alphax)) 2))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (log1p.f32 (expm1.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))))))))) (*.f32 alphay alphay)))) u0) (-.f32 1 u0)))))
Compiler

Compiled 153 to 112 computations (26.8% saved)

localize36.8s (24.6%)

Results
Compiler

Compiled 1603 to 1007 computations (37.2% saved)

Profiling

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