Trowbridge-Reitz Sample, sample surface normal, cosTheta

Time bar (total: 1.7min)

analyze1.2s (1.2%)

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)

sample8.3s (8.2%)

Results
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4.0ms256valid
1.0ms256valid
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1.0ms256valid
4.0ms256valid
1.0ms256valid
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1.0ms256valid
1.0ms256valid
40.0ms256valid
1.0ms256valid
1.0ms256valid
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1.0ms256valid
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Bogosity

preprocess4.9s (4.9%)

Algorithm
egg-herbie
Rules
772×unsub-neg
516×associate-/r*
420×fma-define
407×div-sub
387×times-frac
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1993(4.423851951429469e-9 0.00019722850993275642 0.03953815624117851 0.09325964003801346)11(8.90093815542059e-7 0.0017951811896637082 0.00013395467249210924 0.0003884107281919569)(tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32))))
1971(0.15552134811878204 0.02070659026503563 0.003657130990177393 0.0791136845946312)6(1.2467157830542419e-5 0.08698456734418869 0.0025395038537681103 0.10897774994373322)(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: 3 (0.0ms)

IterNodesCost
02155376
15165176
211184912
334724656
469264656
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 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (*.f32 2 (PI.f32)) u1 (*.f32 (PI.f32) 1/2)))))) (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (*.f32 2 (PI.f32)) u1 (*.f32 (PI.f32) 1/2)))))) (*.f32 alphax 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 (/.f32 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 u0)))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (/.f32 u0 (fma.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 (*.f32 2 u1) 1/2))) alphax)))) (/.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 (*.f32 2 u1) 1/2))) alphax)))) (*.f32 alphax alphax)) (*.f32 (sin.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 (*.f32 2 u1) 1/2))) alphax)))) (/.f32 (sin.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 (*.f32 2 u1) 1/2))) alphax)))) (*.f32 alphay alphay))))) (-.f32 1 u0)))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (/.f32 u0 (fma.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax)))) (/.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax)))) (*.f32 alphax alphax)) (*.f32 (sin.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax)))) (/.f32 (sin.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax)))) (*.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 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (*.f32 2 (PI.f32)) u1 (*.f32 (PI.f32) 1/2)))))) (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (*.f32 2 (PI.f32)) u1 (*.f32 (PI.f32) 1/2)))))) (*.f32 alphax 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))))))
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(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (/.f32 u0 (fma.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 (*.f32 2 u1) 1/2))) alphax)))) (/.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 (*.f32 2 u1) 1/2))) alphax)))) (*.f32 alphax alphax)) (*.f32 (sin.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 (*.f32 2 u1) 1/2))) alphax)))) (/.f32 (sin.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 (*.f32 2 u1) 1/2))) alphax)))) (*.f32 alphay alphay))))) (-.f32 1 u0)))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (/.f32 u0 (fma.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax)))) (/.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax)))) (*.f32 alphax alphax)) (*.f32 (sin.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax)))) (/.f32 (sin.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax)))) (*.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)))) (neg.f32 u0)) (-.f32 1 (neg.f32 u0))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (*.f32 (/.f32 1 (+.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (*.f32 2 (PI.f32)) u1 (*.f32 (PI.f32) 1/2)))))) (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (*.f32 2 (PI.f32)) u1 (*.f32 (PI.f32) 1/2)))))) (*.f32 alphax 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)))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (neg.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)))))))))
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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 (fma.f32 alphax (*.f32 2 (PI.f32)) (*.f32 (PI.f32) 1/2))) u1)))) (/.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 alphax (*.f32 2 (PI.f32)) (*.f32 (PI.f32) 1/2))) u1)))) (*.f32 u1 u1)) (*.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 alphax (*.f32 2 (PI.f32)) (*.f32 (PI.f32) 1/2))) u1)))) alphay) (/.f32 (sin.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 alphax (*.f32 2 (PI.f32)) (*.f32 (PI.f32) 1/2))) u1)))) alphay))))))))
(/.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 (/.f32 (sin.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 alphax 2)))) u1)))) alphay) (/.f32 (sin.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 alphax 2)))) u1)))) alphay))))))))
(/.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) (fma.f32 alphax 2 1/2))) u1)))) (/.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 alphax 2 1/2))) u1)))) (*.f32 u1 u1)) (*.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 alphax 2 1/2))) u1)))) alphay) (/.f32 (sin.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 alphax 2 1/2))) u1)))) 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 (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 u1 alphax) (tan.f32 (fma.f32 (*.f32 2 (PI.f32)) alphay (*.f32 (PI.f32) 1/2)))))) alphax) (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 u1 alphax) (tan.f32 (fma.f32 (*.f32 2 (PI.f32)) alphay (*.f32 (PI.f32) 1/2)))))) 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 (/.f32 (cos.f32 (atan.f32 (*.f32 u1 (/.f32 (tan.f32 (fma.f32 alphay (*.f32 2 (PI.f32)) (*.f32 (PI.f32) 1/2))) alphax)))) alphax) (/.f32 (cos.f32 (atan.f32 (*.f32 u1 (/.f32 (tan.f32 (fma.f32 alphay (*.f32 2 (PI.f32)) (*.f32 (PI.f32) 1/2))) alphax)))) alphax))))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (*.f32 (-.f32 1 u0) (fma.f32 (sin.f32 (atan.f32 (*.f32 u1 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 (*.f32 alphay 2) 1/2))) alphax)))) (/.f32 (sin.f32 (atan.f32 (*.f32 u1 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 (*.f32 alphay 2) 1/2))) alphax)))) (*.f32 u1 u1)) (*.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 u1 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 (*.f32 alphay 2) 1/2))) alphax)))) alphax) (/.f32 (cos.f32 (atan.f32 (*.f32 u1 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 (*.f32 alphay 2) 1/2))) alphax)))) alphax))))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (*.f32 (-.f32 1 u0) (fma.f32 (sin.f32 (atan.f32 (*.f32 u1 (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 alphay 2 1/2))) alphax)))) (/.f32 (sin.f32 (atan.f32 (*.f32 u1 (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 alphay 2 1/2))) alphax)))) (*.f32 u1 u1)) (*.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 u1 (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 alphay 2 1/2))) alphax)))) alphax) (/.f32 (cos.f32 (atan.f32 (*.f32 u1 (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 alphay 2 1/2))) alphax)))) alphax))))))))
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(/.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))))))))
(/.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) (fma.f32 2 u1 1/2))) alphay)))) (/.f32 (cos.f32 (atan.f32 (*.f32 alphax (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphay)))) (*.f32 alphay alphay)) (*.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 alphax (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphay)))) alphax) (/.f32 (sin.f32 (atan.f32 (*.f32 alphax (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphay)))) alphax))))))))
Compiler

Compiled 1750 to 1090 computations (37.7% saved)

eval5.0ms (0%)

Compiler

Compiled 319 to 212 computations (33.5% saved)

prune2.0ms (0%)

Alt Table
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StatusAccuracyProgram
99.5%
(/.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)

localize1.9s (1.9%)

Localize:

Found 4 expressions with local error:

NewAccuracyProgram
98.8%
(*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32)))))
98.5%
(*.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))))))))
60.4%
(tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32))))
58.8%
(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)

series49.0ms (0%)

Counts
4 → 120
Calls

30 calls:

TimeVariablePointExpression
5.0ms
alphay
@0
(*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32)))))
4.0ms
alphax
@0
(*.f32 (/.f32 alphay alphax) (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
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
alphay
@-inf
(*.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))))))))

rewrite280.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
1082×log1p-expm1-u
967×expm1-log1p-u
153×add-exp-log
153×add-log-exp
153×add-cube-cbrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023204
1327204
24635204
Stop Event
node limit
Counts
4 → 116
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 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32)))))
Outputs
(-.f32 (exp.f32 (log1p.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2)))))))) 1)
(*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2)))))) 1)
(*.f32 1 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2)))))))
(*.f32 (cbrt.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))))))) (pow.f32 (cbrt.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))))))) 2))
(*.f32 (pow.f32 (cbrt.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))))))) 2) (cbrt.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))))))))
(*.f32 (sqrt.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))))))) (sqrt.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))))))))
(*.f32 (sqrt.f32 (cbrt.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2)))))) 4))) (sqrt.f32 (pow.f32 (cbrt.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))))))) 2)))
(/.f32 1 (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))))))
(/.f32 1 (/.f32 (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))))) 1))
(/.f32 -1 (neg.f32 (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2)))))))
(/.f32 (sqrt.f32 (+.f32 (cos.f32 (*.f32 2 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))))))) (cos.f32 0))) (sqrt.f32 2))
(pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2)))))) 1)
(pow.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2)))))) 2) 1/2)
(pow.f32 (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))))) -1)
(pow.f32 (cbrt.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))))))) 3)
(pow.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2)))))) 3) 1/3)
(pow.f32 (sqrt.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))))))) 2)
(sqrt.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2)))))) 2))
(fabs.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2)))))))
(log.f32 (exp.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))))))))
(log.f32 (+.f32 1 (expm1.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2)))))))))
(cbrt.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2)))))) 3))
(expm1.f32 (log1p.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))))))))
(log1p.f32 (expm1.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))))))))
(exp.f32 (log.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))))))))
(exp.f32 (*.f32 (log.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))))))) 1))
(-.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 (*.f32 u1 2) (PI.f32))) (tan.f32 (*.f32 (PI.f32) 1/2))) (/.f32 1 (-.f32 1 (*.f32 (tan.f32 (*.f32 (*.f32 u1 2) (PI.f32))) (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 (*.f32 u1 2) (PI.f32))) (tan.f32 (*.f32 (PI.f32) 1/2)))) (+.f32 (tan.f32 (*.f32 (*.f32 u1 2) (PI.f32))) (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 (*.f32 u1 2) (PI.f32))) (tan.f32 (*.f32 (PI.f32) 1/2))) (-.f32 1 (*.f32 (tan.f32 (*.f32 (*.f32 u1 2) (PI.f32))) (tan.f32 (*.f32 (PI.f32) 1/2)))))
(/.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 (*.f32 u1 2) (PI.f32))) (tan.f32 (*.f32 (PI.f32) 1/2)))) (neg.f32 (-.f32 1 (*.f32 (tan.f32 (*.f32 (*.f32 u1 2) (PI.f32))) (tan.f32 (*.f32 (PI.f32) 1/2))))))
(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))
(+.f32 1/2 (*.f32 1/2 (cos.f32 (*.f32 2 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2)))))))))
(+.f32 1/2 (*.f32 (*.f32 1/2 (cos.f32 (*.f32 2 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2)))))))) 1))
(+.f32 (*.f32 1/2 (cos.f32 (*.f32 2 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2)))))))) 1/2)
(-.f32 (exp.f32 (log1p.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2)))))) 2))) 1)
(/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2)))))) (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))))))
(/.f32 1 (+.f32 1 (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2)))) 2)))
(/.f32 1 (/.f32 2 (+.f32 (cos.f32 (*.f32 2 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))))))) (cos.f32 0))))
(/.f32 (+.f32 (cos.f32 (*.f32 2 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))))))) (cos.f32 0)) 2)
(/.f32 (neg.f32 (+.f32 (cos.f32 (*.f32 2 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))))))) (cos.f32 0))) -2)
(/.f32 (+.f32 1/8 (pow.f32 (*.f32 1/2 (cos.f32 (*.f32 2 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2)))))))) 3)) (+.f32 1/4 (-.f32 (*.f32 (*.f32 1/2 (cos.f32 (*.f32 2 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2)))))))) (*.f32 1/2 (cos.f32 (*.f32 2 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))))))))) (*.f32 1/2 (*.f32 1/2 (cos.f32 (*.f32 2 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))))))))))))
(/.f32 (-.f32 1/4 (*.f32 (*.f32 1/2 (cos.f32 (*.f32 2 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2)))))))) (*.f32 1/2 (cos.f32 (*.f32 2 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2)))))))))) (-.f32 1/2 (*.f32 1/2 (cos.f32 (*.f32 2 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))))))))))
(pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2)))))) 2)
(pow.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2)))))) 2) 1)
(pow.f32 (pow.f32 (cbrt.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))))))) 2) 3)
(pow.f32 (pow.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2)))))) 2) 3) 1/3)
(sqrt.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2)))))) 4))
(log.f32 (exp.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2)))))) 2)))
(log.f32 (+.f32 1 (expm1.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2)))))) 2))))
(cbrt.f32 (pow.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2)))))) 2) 3))
(expm1.f32 (log1p.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2)))))) 2)))
(log1p.f32 (expm1.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2)))))) 2)))
(exp.f32 (*.f32 2 (log.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2)))))))))
(exp.f32 (*.f32 (log.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))))))) 2))
(exp.f32 (*.f32 (*.f32 2 (log.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2)))))))) 1))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (/.f32 alphay alphax) (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))) (/.f32 alphax alphay))
(/.f32 1 (/.f32 alphax (*.f32 alphay (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 (/.f32 alphax alphay) (cos.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2)))))
(/.f32 (+.f32 (tan.f32 (*.f32 (*.f32 u1 2) (PI.f32))) (tan.f32 (*.f32 (PI.f32) 1/2))) (*.f32 (/.f32 alphax alphay) (-.f32 1 (*.f32 (tan.f32 (*.f32 (*.f32 u1 2) (PI.f32))) (tan.f32 (*.f32 (PI.f32) 1/2))))))
(/.f32 (*.f32 alphay (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2)))) alphax)
(/.f32 (*.f32 alphay (sin.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2)))) (*.f32 alphax (cos.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2)))))
(/.f32 (*.f32 alphay (+.f32 (tan.f32 (*.f32 (*.f32 u1 2) (PI.f32))) (tan.f32 (*.f32 (PI.f32) 1/2)))) (*.f32 alphax (-.f32 1 (*.f32 (tan.f32 (*.f32 (*.f32 u1 2) (PI.f32))) (tan.f32 (*.f32 (PI.f32) 1/2))))))
(/.f32 (*.f32 (neg.f32 alphay) (sin.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2)))) (*.f32 (neg.f32 alphax) (cos.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2)))))
(/.f32 (*.f32 (neg.f32 alphay) (+.f32 (tan.f32 (*.f32 (*.f32 u1 2) (PI.f32))) (tan.f32 (*.f32 (PI.f32) 1/2)))) (*.f32 (neg.f32 alphax) (-.f32 1 (*.f32 (tan.f32 (*.f32 (*.f32 u1 2) (PI.f32))) (tan.f32 (*.f32 (PI.f32) 1/2))))))
(/.f32 (*.f32 (sin.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphay) (*.f32 (cos.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) alphax))
(/.f32 (*.f32 (sin.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) 1) (*.f32 (cos.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) (/.f32 alphax alphay)))
(/.f32 (*.f32 (sin.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) (neg.f32 alphay)) (*.f32 (cos.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) (neg.f32 alphax)))
(/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 (*.f32 u1 2) (PI.f32))) (tan.f32 (*.f32 (PI.f32) 1/2))) alphay) (*.f32 (-.f32 1 (*.f32 (tan.f32 (*.f32 (*.f32 u1 2) (PI.f32))) (tan.f32 (*.f32 (PI.f32) 1/2)))) alphax))
(/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 (*.f32 u1 2) (PI.f32))) (tan.f32 (*.f32 (PI.f32) 1/2))) 1) (*.f32 (-.f32 1 (*.f32 (tan.f32 (*.f32 (*.f32 u1 2) (PI.f32))) (tan.f32 (*.f32 (PI.f32) 1/2)))) (/.f32 alphax alphay)))
(/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 (*.f32 u1 2) (PI.f32))) (tan.f32 (*.f32 (PI.f32) 1/2))) (neg.f32 alphay)) (*.f32 (-.f32 1 (*.f32 (tan.f32 (*.f32 (*.f32 u1 2) (PI.f32))) (tan.f32 (*.f32 (PI.f32) 1/2)))) (neg.f32 alphax)))
(/.f32 (neg.f32 (*.f32 alphay (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))))) (neg.f32 alphax))
(/.f32 (*.f32 (/.f32 alphay alphax) (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 (/.f32 alphay alphax) (+.f32 (tan.f32 (*.f32 (*.f32 u1 2) (PI.f32))) (tan.f32 (*.f32 (PI.f32) 1/2)))) (-.f32 1 (*.f32 (tan.f32 (*.f32 (*.f32 u1 2) (PI.f32))) (tan.f32 (*.f32 (PI.f32) 1/2)))))
(/.f32 (*.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) (neg.f32 alphay)) (neg.f32 alphax))
(/.f32 (*.f32 (neg.f32 alphay) (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2)))) (neg.f32 alphax))
(/.f32 (*.f32 (sin.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) (/.f32 alphay alphax)) (cos.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))))
(/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 (*.f32 u1 2) (PI.f32))) (tan.f32 (*.f32 (PI.f32) 1/2))) (/.f32 alphay alphax)) (-.f32 1 (*.f32 (tan.f32 (*.f32 (*.f32 u1 2) (PI.f32))) (tan.f32 (*.f32 (PI.f32) 1/2)))))
(/.f32 (/.f32 (*.f32 alphay (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2)))) 1) alphax)
(/.f32 (/.f32 (*.f32 alphay (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2)))) (cbrt.f32 (pow.f32 alphax 2))) (cbrt.f32 alphax))
(/.f32 (/.f32 (*.f32 alphay (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2)))) (sqrt.f32 alphax)) (sqrt.f32 alphax))
(pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2)))) 1)
(pow.f32 (cbrt.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))))) 3)
(pow.f32 (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2)))) 3) 1/3)
(pow.f32 (sqrt.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))))) 2)
(sqrt.f32 (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2)))) 2))
(log.f32 (exp.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))))))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2)))))))
(cbrt.f32 (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2)))) 3))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 alphay alphax) 3) (pow.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) 3)))
(cbrt.f32 (*.f32 (pow.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) 3) (pow.f32 (/.f32 alphay alphax) 3)))
(expm1.f32 (log1p.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))))))
(log1p.f32 (expm1.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))))))
(exp.f32 (log.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))))))
(exp.f32 (*.f32 (log.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))))) 1))

simplify181.0ms (0.2%)

Algorithm
egg-herbie
Rules
639×fma-define
252×log-prod
236×distribute-rgt-in
229×distribute-lft-in
206×distribute-lft-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
035017741
187616512
2307915101
Stop Event
node limit
Counts
236 → 211
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))))))
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(/.f32 (*.f32 alphay (sin.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) (*.f32 alphax (cos.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))))
(/.f32 (*.f32 alphay (sin.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) (*.f32 alphax (cos.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))))
(/.f32 (*.f32 alphay (sin.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) (*.f32 alphax (cos.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))))
(/.f32 (*.f32 alphay (sin.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) (*.f32 alphax (cos.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))))
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(/.f32 (*.f32 alphay (sin.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) (*.f32 alphax (cos.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))))
(/.f32 (*.f32 alphay (sin.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) (*.f32 alphax (cos.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))))
(/.f32 (*.f32 alphay (sin.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) (*.f32 alphax (cos.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))))
(/.f32 (*.f32 alphay (sin.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) (*.f32 alphax (cos.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))))
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(/.f32 (*.f32 alphay (sin.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) (*.f32 alphax (cos.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))))
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(/.f32 (*.f32 alphay (sin.f32 (*.f32 1/2 (PI.f32)))) (*.f32 alphax (cos.f32 (*.f32 1/2 (PI.f32)))))
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(/.f32 (*.f32 alphay (sin.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) (*.f32 alphax (cos.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))))
(/.f32 (*.f32 alphay (sin.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) (*.f32 alphax (cos.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))))
(/.f32 (*.f32 alphay (sin.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) (*.f32 alphax (cos.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))))
(/.f32 (*.f32 alphay (sin.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) (*.f32 alphax (cos.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))))
(/.f32 (*.f32 alphay (sin.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) (*.f32 alphax (cos.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))))
(/.f32 (*.f32 alphay (sin.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) (*.f32 alphax (cos.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))))
(/.f32 (*.f32 alphay (sin.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) (*.f32 alphax (cos.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))))
(/.f32 (*.f32 alphay (sin.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) (*.f32 alphax (cos.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))))
(-.f32 (exp.f32 (log1p.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2)))))))) 1)
(*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2)))))) 1)
(*.f32 1 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2)))))))
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(/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 (*.f32 u1 2) (PI.f32))) (tan.f32 (*.f32 (PI.f32) 1/2))) alphay) (*.f32 (-.f32 1 (*.f32 (tan.f32 (*.f32 (*.f32 u1 2) (PI.f32))) (tan.f32 (*.f32 (PI.f32) 1/2)))) alphax))
(/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 (*.f32 u1 2) (PI.f32))) (tan.f32 (*.f32 (PI.f32) 1/2))) 1) (*.f32 (-.f32 1 (*.f32 (tan.f32 (*.f32 (*.f32 u1 2) (PI.f32))) (tan.f32 (*.f32 (PI.f32) 1/2)))) (/.f32 alphax alphay)))
(/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 (*.f32 u1 2) (PI.f32))) (tan.f32 (*.f32 (PI.f32) 1/2))) (neg.f32 alphay)) (*.f32 (-.f32 1 (*.f32 (tan.f32 (*.f32 (*.f32 u1 2) (PI.f32))) (tan.f32 (*.f32 (PI.f32) 1/2)))) (neg.f32 alphax)))
(/.f32 (neg.f32 (*.f32 alphay (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))))) (neg.f32 alphax))
(/.f32 (*.f32 (/.f32 alphay alphax) (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 (/.f32 alphay alphax) (+.f32 (tan.f32 (*.f32 (*.f32 u1 2) (PI.f32))) (tan.f32 (*.f32 (PI.f32) 1/2)))) (-.f32 1 (*.f32 (tan.f32 (*.f32 (*.f32 u1 2) (PI.f32))) (tan.f32 (*.f32 (PI.f32) 1/2)))))
(/.f32 (*.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) (neg.f32 alphay)) (neg.f32 alphax))
(/.f32 (*.f32 (neg.f32 alphay) (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2)))) (neg.f32 alphax))
(/.f32 (*.f32 (sin.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) (/.f32 alphay alphax)) (cos.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))))
(/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 (*.f32 u1 2) (PI.f32))) (tan.f32 (*.f32 (PI.f32) 1/2))) (/.f32 alphay alphax)) (-.f32 1 (*.f32 (tan.f32 (*.f32 (*.f32 u1 2) (PI.f32))) (tan.f32 (*.f32 (PI.f32) 1/2)))))
(/.f32 (/.f32 (*.f32 alphay (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2)))) 1) alphax)
(/.f32 (/.f32 (*.f32 alphay (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2)))) (cbrt.f32 (pow.f32 alphax 2))) (cbrt.f32 alphax))
(/.f32 (/.f32 (*.f32 alphay (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2)))) (sqrt.f32 alphax)) (sqrt.f32 alphax))
(pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2)))) 1)
(pow.f32 (cbrt.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))))) 3)
(pow.f32 (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2)))) 3) 1/3)
(pow.f32 (sqrt.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))))) 2)
(sqrt.f32 (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2)))) 2))
(log.f32 (exp.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))))))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2)))))))
(cbrt.f32 (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2)))) 3))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 alphay alphax) 3) (pow.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) 3)))
(cbrt.f32 (*.f32 (pow.f32 (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))) 3) (pow.f32 (/.f32 alphay alphax) 3)))
(expm1.f32 (log1p.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))))))
(log1p.f32 (expm1.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))))))
(exp.f32 (log.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))))))
(exp.f32 (*.f32 (log.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))))) 1))
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 (PI.f32) (*.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 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) 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 (PI.f32) (*.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 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) 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 (PI.f32) (*.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 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) 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 (PI.f32) (*.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 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) 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 (PI.f32) (*.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 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) 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 (PI.f32) (*.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 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) 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 (PI.f32) (*.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 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) 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 (PI.f32) (*.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 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) 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 (PI.f32) (*.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 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) 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 (PI.f32) (*.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 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) 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 (PI.f32) (*.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 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) 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 (PI.f32) (*.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 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) 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 (PI.f32) (*.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 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) 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 (PI.f32) (*.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 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) 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 (PI.f32) (*.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 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) 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 (PI.f32) (*.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 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) 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 (PI.f32) (*.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 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) 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 (PI.f32) (*.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 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) 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 (PI.f32) (*.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 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) 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 (PI.f32) (*.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 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) 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 (PI.f32) (*.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 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) 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 (PI.f32) (*.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 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) 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 (PI.f32) (*.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 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) 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 (PI.f32) (*.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 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) 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 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))) (cos.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))
(/.f32 (*.f32 alphay (sin.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) (*.f32 alphax (cos.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))))
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(/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))) (cos.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))
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(/.f32 (*.f32 alphay (sin.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) (*.f32 alphax (cos.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))))
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(/.f32 (*.f32 alphay (sin.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) (*.f32 alphax (cos.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))))
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(/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))) (cos.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))
(/.f32 (*.f32 alphay (sin.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) (*.f32 alphax (cos.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))))
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(/.f32 (*.f32 alphay (sin.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) (*.f32 alphax (cos.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))))
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(/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))) (cos.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))
(/.f32 (*.f32 alphay (sin.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) (*.f32 alphax (cos.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))))
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(/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))) (cos.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))
(/.f32 (*.f32 alphay (sin.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) (*.f32 alphax (cos.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))))
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(*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) (cos.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1))))))
(/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))) (cos.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))
(/.f32 (*.f32 alphay (sin.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) (*.f32 alphax (cos.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))))
(*.f32 alphay (/.f32 (sin.f32 (fma.f32 1/2 (PI.f32) (*.f32 (PI.f32) (*.f32 2 u1)))) (*.f32 alphax (cos.f32 (fma.f32 1/2 (PI.f32) (*.f32 (PI.f32) (*.f32 2 u1)))))))
(*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) (cos.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1))))))
(/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))) (cos.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))
(/.f32 (*.f32 alphay (sin.f32 (*.f32 1/2 (PI.f32)))) (*.f32 alphax (cos.f32 (*.f32 1/2 (PI.f32)))))
(*.f32 alphay (/.f32 (sin.f32 (*.f32 1/2 (PI.f32))) (*.f32 alphax (cos.f32 (*.f32 1/2 (PI.f32))))))
(*.f32 alphay (/.f32 (/.f32 (sin.f32 (*.f32 1/2 (PI.f32))) alphax) (cos.f32 (*.f32 1/2 (PI.f32)))))
(+.f32 (/.f32 (*.f32 alphay (sin.f32 (*.f32 1/2 (PI.f32)))) (*.f32 alphax (cos.f32 (*.f32 1/2 (PI.f32))))) (/.f32 (*.f32 alphay (*.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)))))) alphax))
(+.f32 (*.f32 alphay (/.f32 (sin.f32 (*.f32 1/2 (PI.f32))) (*.f32 alphax (cos.f32 (*.f32 1/2 (PI.f32)))))) (/.f32 (*.f32 (*.f32 alphay u1) (-.f32 (*.f32 (PI.f32) 2) (/.f32 (*.f32 -2 (*.f32 (PI.f32) (pow.f32 (sin.f32 (*.f32 1/2 (PI.f32))) 2))) (pow.f32 (cos.f32 (*.f32 1/2 (PI.f32))) 2)))) alphax))
(*.f32 alphay (+.f32 (/.f32 (sin.f32 (*.f32 1/2 (PI.f32))) (*.f32 alphax (cos.f32 (*.f32 1/2 (PI.f32))))) (*.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))))) (/.f32 u1 alphax))))
(*.f32 (/.f32 alphay alphax) (fma.f32 u1 (*.f32 (PI.f32) (-.f32 2 (*.f32 (/.f32 (pow.f32 (sin.f32 (*.f32 1/2 (PI.f32))) 2) (pow.f32 (cos.f32 (*.f32 1/2 (PI.f32))) 2)) -2))) (/.f32 (sin.f32 (*.f32 1/2 (PI.f32))) (cos.f32 (*.f32 1/2 (PI.f32))))))
(+.f32 (*.f32 2 (/.f32 (*.f32 alphay (*.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)))))))) (*.f32 alphax (cos.f32 (*.f32 1/2 (PI.f32)))))) (+.f32 (/.f32 (*.f32 alphay (sin.f32 (*.f32 1/2 (PI.f32)))) (*.f32 alphax (cos.f32 (*.f32 1/2 (PI.f32))))) (/.f32 (*.f32 alphay (*.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)))))) alphax)))
(fma.f32 2 (/.f32 (*.f32 (*.f32 alphay (pow.f32 u1 2)) (*.f32 (*.f32 (PI.f32) (sin.f32 (*.f32 1/2 (PI.f32)))) (-.f32 (*.f32 (PI.f32) 2) (/.f32 (*.f32 -2 (*.f32 (PI.f32) (pow.f32 (sin.f32 (*.f32 1/2 (PI.f32))) 2))) (pow.f32 (cos.f32 (*.f32 1/2 (PI.f32))) 2))))) (*.f32 alphax (cos.f32 (*.f32 1/2 (PI.f32))))) (+.f32 (*.f32 alphay (/.f32 (sin.f32 (*.f32 1/2 (PI.f32))) (*.f32 alphax (cos.f32 (*.f32 1/2 (PI.f32)))))) (/.f32 (*.f32 (*.f32 alphay u1) (-.f32 (*.f32 (PI.f32) 2) (/.f32 (*.f32 -2 (*.f32 (PI.f32) (pow.f32 (sin.f32 (*.f32 1/2 (PI.f32))) 2))) (pow.f32 (cos.f32 (*.f32 1/2 (PI.f32))) 2)))) alphax)))
(fma.f32 2 (*.f32 (/.f32 (*.f32 alphay (pow.f32 u1 2)) alphax) (*.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)))))) (/.f32 (PI.f32) (cos.f32 (*.f32 1/2 (PI.f32)))))) (*.f32 alphay (+.f32 (/.f32 (sin.f32 (*.f32 1/2 (PI.f32))) (*.f32 alphax (cos.f32 (*.f32 1/2 (PI.f32))))) (*.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))))) (/.f32 u1 alphax)))))
(fma.f32 2 (*.f32 alphay (*.f32 (*.f32 (*.f32 (PI.f32) (-.f32 2 (*.f32 (/.f32 (pow.f32 (sin.f32 (*.f32 1/2 (PI.f32))) 2) (pow.f32 (cos.f32 (*.f32 1/2 (PI.f32))) 2)) -2))) (*.f32 (PI.f32) (sin.f32 (*.f32 1/2 (PI.f32))))) (/.f32 (pow.f32 u1 2) (*.f32 alphax (cos.f32 (*.f32 1/2 (PI.f32))))))) (*.f32 (/.f32 alphay alphax) (fma.f32 u1 (*.f32 (PI.f32) (-.f32 2 (*.f32 (/.f32 (pow.f32 (sin.f32 (*.f32 1/2 (PI.f32))) 2) (pow.f32 (cos.f32 (*.f32 1/2 (PI.f32))) 2)) -2))) (/.f32 (sin.f32 (*.f32 1/2 (PI.f32))) (cos.f32 (*.f32 1/2 (PI.f32)))))))
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(fma.f32 2 (/.f32 (*.f32 (*.f32 alphay (pow.f32 u1 2)) (*.f32 (*.f32 (PI.f32) (sin.f32 (*.f32 1/2 (PI.f32)))) (-.f32 (*.f32 (PI.f32) 2) (/.f32 (*.f32 -2 (*.f32 (PI.f32) (pow.f32 (sin.f32 (*.f32 1/2 (PI.f32))) 2))) (pow.f32 (cos.f32 (*.f32 1/2 (PI.f32))) 2))))) (*.f32 alphax (cos.f32 (*.f32 1/2 (PI.f32))))) (+.f32 (+.f32 (*.f32 alphay (/.f32 (sin.f32 (*.f32 1/2 (PI.f32))) (*.f32 alphax (cos.f32 (*.f32 1/2 (PI.f32)))))) (/.f32 (*.f32 (*.f32 alphay u1) (-.f32 (*.f32 (PI.f32) 2) (/.f32 (*.f32 -2 (*.f32 (PI.f32) (pow.f32 (sin.f32 (*.f32 1/2 (PI.f32))) 2))) (pow.f32 (cos.f32 (*.f32 1/2 (PI.f32))) 2)))) alphax)) (/.f32 (*.f32 (*.f32 alphay (pow.f32 u1 3)) (-.f32 (*.f32 -4/3 (pow.f32 (PI.f32) 3)) (fma.f32 -4 (*.f32 (pow.f32 (PI.f32) 2) (/.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 1/2 (PI.f32))) 2) (-.f32 (*.f32 (PI.f32) 2) (/.f32 (*.f32 -2 (*.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))) (fma.f32 -2 (*.f32 (-.f32 (*.f32 (PI.f32) 2) (/.f32 (*.f32 -2 (*.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 (PI.f32) 2)) (*.f32 4/3 (/.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 1/2 (PI.f32))) 2) (pow.f32 (PI.f32) 3)) (pow.f32 (cos.f32 (*.f32 1/2 (PI.f32))) 2))))))) alphax)))
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(*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax))
(expm1.f32 (log1p.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))))))
(expm1.f32 (log1p.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 1/2 (PI.f32) (*.f32 (PI.f32) (*.f32 2 u1)))) alphax))))
(expm1.f32 (log1p.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) alphax))))
(*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax))
(log1p.f32 (expm1.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))))))
(expm1.f32 (log1p.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 1/2 (PI.f32) (*.f32 (PI.f32) (*.f32 2 u1)))) alphax))))
(expm1.f32 (log1p.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) alphax))))
(*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax))
(exp.f32 (log.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))))))
(expm1.f32 (log1p.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 1/2 (PI.f32) (*.f32 (PI.f32) (*.f32 2 u1)))) alphax))))
(expm1.f32 (log1p.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) alphax))))
(*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax))
(exp.f32 (*.f32 (log.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (*.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2))))) 1))
(expm1.f32 (log1p.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 1/2 (PI.f32) (*.f32 (PI.f32) (*.f32 2 u1)))) alphax))))
(expm1.f32 (log1p.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) alphax))))
(*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax))

eval1.3s (1.3%)

Compiler

Compiled 64210 to 42502 computations (33.8% saved)

prune234.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New6121613
Fresh000
Picked101
Done000
Total6131614
Accuracy
99.5%
Counts
614 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (*.f32 (/.f32 1 (+.f32 (/.f32 (/.f32 1 (+.f32 1 (pow.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) 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)))))
Compiler

Compiled 77 to 57 computations (26% saved)

localize1.7s (1.7%)

Localize:

Found 4 expressions with local error:

NewAccuracyProgram
98.6%
(*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))
98.4%
(pow.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) alphax)) 2)
60.4%
(tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32))))
60.4%
(tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1))))
Compiler

Compiled 753 to 494 computations (34.4% saved)

series67.0ms (0.1%)

Counts
3 → 60
Calls

15 calls:

TimeVariablePointExpression
34.0ms
u1
@0
(*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))
8.0ms
alphay
@0
(pow.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) alphax)) 2)
5.0ms
u1
@inf
(tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1))))
4.0ms
u1
@0
(pow.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) alphax)) 2)
3.0ms
alphax
@0
(pow.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) alphax)) 2)

rewrite137.0ms (0.1%)

Algorithm
batch-egg-rewrite
Rules
777×log1p-expm1-u
777×expm1-log1p-u
681×log-prod
331×prod-diff
220×expm1-undefine
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
020104
126192
2354492
Stop Event
node limit
Counts
3 → 115
Calls
Call 1
Inputs
(tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1))))
(pow.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) alphax)) 2)
(*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))
Outputs
(+.f32 0 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))
(+.f32 (log.f32 (*.f32 (cbrt.f32 (exp.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))) (cbrt.f32 (exp.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) (log.f32 (cbrt.f32 (exp.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) (log.f32 (sqrt.f32 (exp.f32 (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 (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 1 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))
(*.f32 (cbrt.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))) (pow.f32 (cbrt.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))) 2))
(*.f32 (pow.f32 (cbrt.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 (sin.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (cos.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 (+.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 (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 (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 (+.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) 1/2) 1)) (tan.f32 (*.f32 (*.f32 (PI.f32) (*.f32 2 u1)) 1))) (-.f32 1 (*.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) 1/2) 1)) (tan.f32 (*.f32 (*.f32 (PI.f32) (*.f32 2 u1)) 1)))))
(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)))))
(log.f32 (+.f32 1 (expm1.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))
(+.f32 0 (pow.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax)) 2))
(+.f32 (log.f32 (*.f32 (cbrt.f32 (exp.f32 (pow.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax)) 2))) (cbrt.f32 (exp.f32 (pow.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax)) 2))))) (log.f32 (cbrt.f32 (exp.f32 (pow.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax)) 2)))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (pow.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax)) 2)))) (log.f32 (sqrt.f32 (exp.f32 (pow.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax)) 2)))))
(-.f32 (exp.f32 (log1p.f32 (pow.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax)) 2))) 1)
(*.f32 alphay (*.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax) (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax))))
(*.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax) (*.f32 alphay (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax))))
(*.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax)) (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax)))
(*.f32 (pow.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax)) 2) 1)
(*.f32 (pow.f32 alphay 2) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax) 2))
(*.f32 (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax) 2) (pow.f32 alphay 2))
(*.f32 1 (pow.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax)) 2))
(*.f32 (pow.f32 (cbrt.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax))) 2) (cbrt.f32 (pow.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax)) 4)))
(*.f32 (pow.f32 (cbrt.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax))) 2) (*.f32 (cbrt.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax))) (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax))))
(*.f32 (cbrt.f32 (pow.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax)) 4)) (pow.f32 (cbrt.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax))) 2))
(*.f32 (sqrt.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax))) (*.f32 (sqrt.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax))) (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax))))
(*.f32 (*.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax)) (sqrt.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax)))) (sqrt.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax))))
(*.f32 (*.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax)) alphay) (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax))
(*.f32 (*.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax)) (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax)) alphay)
(*.f32 (*.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax)) (pow.f32 (cbrt.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax))) 2)) (cbrt.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) 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))) alphay)) (pow.f32 alphax 2))
(/.f32 (*.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) 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 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax))) alphax)
(sqrt.f32 (pow.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax)) 4))
(log.f32 (exp.f32 (pow.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax)) 2)))
(log.f32 (+.f32 1 (expm1.f32 (pow.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax)) 2))))
(cbrt.f32 (pow.f32 (pow.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax)) 2) 3))
(expm1.f32 (log1p.f32 (pow.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax)) 2)))
(log1p.f32 (expm1.f32 (pow.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax)) 2)))
(exp.f32 (*.f32 2 (log.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax)))))
(exp.f32 (*.f32 (*.f32 2 (log.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax)))) 1))
(+.f32 (*.f32 (PI.f32) 1/2) (*.f32 (PI.f32) (*.f32 2 u1)))
(+.f32 (*.f32 (PI.f32) (*.f32 2 u1)) (*.f32 (PI.f32) 1/2))
(+.f32 0 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))
(+.f32 (*.f32 (*.f32 (PI.f32) 1/2) 1) (*.f32 (*.f32 (PI.f32) (*.f32 2 u1)) 1))
(+.f32 (log.f32 (*.f32 (cbrt.f32 (pow.f32 (exp.f32 (PI.f32)) (fma.f32 2 u1 1/2))) (cbrt.f32 (pow.f32 (exp.f32 (PI.f32)) (fma.f32 2 u1 1/2))))) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (PI.f32)) (fma.f32 2 u1 1/2)))))
(+.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (PI.f32)) (fma.f32 2 u1 1/2)))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (PI.f32)) (fma.f32 2 u1 1/2)))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))) 1)
(/.f32 (+.f32 (pow.f32 (*.f32 (PI.f32) 1/2) 3) (pow.f32 (*.f32 (PI.f32) (*.f32 2 u1)) 3)) (fma.f32 (*.f32 (PI.f32) 1/2) (*.f32 (PI.f32) 1/2) (-.f32 (*.f32 (*.f32 (PI.f32) (*.f32 2 u1)) (*.f32 (PI.f32) (*.f32 2 u1))) (*.f32 (*.f32 (PI.f32) 1/2) (*.f32 (PI.f32) (*.f32 2 u1))))))
(/.f32 (-.f32 (*.f32 (*.f32 (PI.f32) 1/2) (*.f32 (PI.f32) 1/2)) (*.f32 (*.f32 (PI.f32) (*.f32 2 u1)) (*.f32 (PI.f32) (*.f32 2 u1)))) (-.f32 (*.f32 (PI.f32) 1/2) (*.f32 (PI.f32) (*.f32 2 u1))))
(/.f32 (*.f32 (PI.f32) (fma.f32 (pow.f32 u1 3) 8 1/8)) (fma.f32 (*.f32 2 u1) (fma.f32 2 u1 -1/2) 1/4))
(/.f32 (*.f32 (PI.f32) (-.f32 1/4 (*.f32 (pow.f32 u1 2) 4))) (-.f32 1/2 (*.f32 2 u1)))
(/.f32 (*.f32 (fma.f32 (pow.f32 u1 3) 8 1/8) (PI.f32)) (fma.f32 (*.f32 2 u1) (fma.f32 2 u1 -1/2) 1/4))
(/.f32 (*.f32 (-.f32 1/4 (*.f32 (pow.f32 u1 2) 4)) (PI.f32)) (-.f32 1/2 (*.f32 2 u1)))
(pow.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)) 1)
(pow.f32 (cbrt.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) 3)
(pow.f32 (pow.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)) 3) 1/3)
(pow.f32 (sqrt.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) 2)
(sqrt.f32 (pow.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)) 2))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (fma.f32 2 u1 1/2)))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))
(log.f32 (*.f32 (exp.f32 (*.f32 (PI.f32) (*.f32 2 u1))) (exp.f32 (*.f32 (PI.f32) 1/2))))
(cbrt.f32 (pow.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)) 3))
(cbrt.f32 (*.f32 (pow.f32 (PI.f32) 3) (pow.f32 (fma.f32 2 u1 1/2) 3)))
(cbrt.f32 (*.f32 (pow.f32 (fma.f32 2 u1 1/2) 3) (pow.f32 (PI.f32) 3)))
(expm1.f32 (log1p.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))
(log1p.f32 (expm1.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))
(exp.f32 (log.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))
(exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) 1))
(fma.f32 (PI.f32) 1/2 (*.f32 (PI.f32) (*.f32 2 u1)))
(fma.f32 (PI.f32) (*.f32 2 u1) (*.f32 (PI.f32) 1/2))
(fma.f32 1/2 (PI.f32) (*.f32 (PI.f32) (*.f32 2 u1)))
(fma.f32 2 (*.f32 u1 (PI.f32)) (*.f32 (PI.f32) 1/2))
(fma.f32 u1 (*.f32 2 (PI.f32)) (*.f32 (PI.f32) 1/2))
(fma.f32 (*.f32 2 u1) (PI.f32) (*.f32 (PI.f32) 1/2))
(fma.f32 1 (*.f32 (PI.f32) 1/2) (*.f32 (PI.f32) (*.f32 2 u1)))
(fma.f32 1 (*.f32 (PI.f32) (*.f32 2 u1)) (*.f32 (PI.f32) 1/2))
(fma.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (*.f32 (cbrt.f32 (PI.f32)) 1/2) (*.f32 (PI.f32) (*.f32 2 u1)))
(fma.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 2 u1)) (*.f32 (PI.f32) 1/2))
(fma.f32 (pow.f32 (cbrt.f32 (*.f32 2 u1)) 2) (*.f32 (cbrt.f32 (*.f32 2 u1)) (PI.f32)) (*.f32 (PI.f32) 1/2))
(fma.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) 1/2) (*.f32 (PI.f32) (*.f32 2 u1)))
(fma.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 2 u1)) (*.f32 (PI.f32) 1/2))
(fma.f32 (sqrt.f32 (*.f32 2 u1)) (*.f32 (sqrt.f32 (*.f32 2 u1)) (PI.f32)) (*.f32 (PI.f32) 1/2))
(fma.f32 (*.f32 (PI.f32) 1/2) 1 (*.f32 (*.f32 (PI.f32) (*.f32 2 u1)) 1))
(fma.f32 (*.f32 (cbrt.f32 (*.f32 (PI.f32) 1/2)) (cbrt.f32 (*.f32 (PI.f32) 1/2))) (cbrt.f32 (*.f32 (PI.f32) 1/2)) (*.f32 (PI.f32) (*.f32 2 u1)))
(fma.f32 (*.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 2 u1))) (cbrt.f32 (*.f32 (PI.f32) (*.f32 2 u1)))) (cbrt.f32 (*.f32 (PI.f32) (*.f32 2 u1))) (*.f32 (PI.f32) 1/2))
(fma.f32 (sqrt.f32 (*.f32 (PI.f32) 1/2)) (sqrt.f32 (*.f32 (PI.f32) 1/2)) (*.f32 (PI.f32) (*.f32 2 u1)))
(fma.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 2 u1))) (sqrt.f32 (*.f32 (PI.f32) (*.f32 2 u1))) (*.f32 (PI.f32) 1/2))
(fma.f32 (*.f32 (sqrt.f32 (*.f32 2 u1)) (sqrt.f32 (PI.f32))) (*.f32 (sqrt.f32 (*.f32 2 u1)) (sqrt.f32 (PI.f32))) (*.f32 (PI.f32) 1/2))
(fma.f32 (*.f32 (sqrt.f32 (PI.f32)) (sqrt.f32 (*.f32 2 u1))) (*.f32 (sqrt.f32 (PI.f32)) (sqrt.f32 (*.f32 2 u1))) (*.f32 (PI.f32) 1/2))
(fma.f32 (*.f32 1/2 (pow.f32 (cbrt.f32 (PI.f32)) 2)) (cbrt.f32 (PI.f32)) (*.f32 (PI.f32) (*.f32 2 u1)))
(fma.f32 (*.f32 1/2 (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)) (*.f32 (PI.f32) (*.f32 2 u1)))
(fma.f32 (*.f32 (*.f32 2 u1) (pow.f32 (cbrt.f32 (PI.f32)) 2)) (cbrt.f32 (PI.f32)) (*.f32 (PI.f32) 1/2))
(fma.f32 (*.f32 (*.f32 2 u1) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)) (*.f32 (PI.f32) 1/2))
(fma.f32 (*.f32 (PI.f32) 2) u1 (*.f32 (PI.f32) 1/2))
(fma.f32 (*.f32 (PI.f32) u1) 2 (*.f32 (PI.f32) 1/2))
(fma.f32 (*.f32 (PI.f32) (pow.f32 (cbrt.f32 (*.f32 2 u1)) 2)) (cbrt.f32 (*.f32 2 u1)) (*.f32 (PI.f32) 1/2))
(fma.f32 (*.f32 (PI.f32) (sqrt.f32 (*.f32 2 u1))) (sqrt.f32 (*.f32 2 u1)) (*.f32 (PI.f32) 1/2))

simplify223.0ms (0.2%)

Algorithm
egg-herbie
Rules
604×unswap-sqr
579×distribute-lft-in
359×associate-*r*
330×associate-*l*
205×cancel-sign-sub-inv
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
039510878
1102910639
2381410635
Stop Event
node limit
Counts
175 → 189
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 (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)))))
(/.f32 (sin.f32 (*.f32 (PI.f32) (-.f32 1/2 (*.f32 -2 u1)))) (cos.f32 (*.f32 (PI.f32) (-.f32 1/2 (*.f32 -2 u1)))))
(/.f32 (*.f32 (pow.f32 alphay 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) 2)) (*.f32 (pow.f32 alphax 2) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) 2)))
(/.f32 (*.f32 (pow.f32 alphay 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) 2)) (*.f32 (pow.f32 alphax 2) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) 2)))
(/.f32 (*.f32 (pow.f32 alphay 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) 2)) (*.f32 (pow.f32 alphax 2) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) 2)))
(/.f32 (*.f32 (pow.f32 alphay 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) 2)) (*.f32 (pow.f32 alphax 2) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) 2)))
(/.f32 (*.f32 (pow.f32 alphay 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) 2)) (*.f32 (pow.f32 alphax 2) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) 2)))
(/.f32 (*.f32 (pow.f32 alphay 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) 2)) (*.f32 (pow.f32 alphax 2) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) 2)))
(/.f32 (*.f32 (pow.f32 alphay 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) 2)) (*.f32 (pow.f32 alphax 2) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) 2)))
(/.f32 (*.f32 (pow.f32 alphay 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) 2)) (*.f32 (pow.f32 alphax 2) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) 2)))
(/.f32 (*.f32 (pow.f32 alphay 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) 2)) (*.f32 (pow.f32 alphax 2) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) 2)))
(/.f32 (*.f32 (pow.f32 alphay 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) 2)) (*.f32 (pow.f32 alphax 2) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) 2)))
(/.f32 (*.f32 (pow.f32 alphay 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) 2)) (*.f32 (pow.f32 alphax 2) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) 2)))
(/.f32 (*.f32 (pow.f32 alphay 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) 2)) (*.f32 (pow.f32 alphax 2) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) 2)))
(/.f32 (*.f32 (pow.f32 alphay 2) (pow.f32 (sin.f32 (*.f32 1/2 (PI.f32))) 2)) (*.f32 (pow.f32 alphax 2) (pow.f32 (cos.f32 (*.f32 1/2 (PI.f32))) 2)))
(+.f32 (*.f32 2 (/.f32 (*.f32 (pow.f32 alphay 2) (*.f32 u1 (*.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))))))) (*.f32 (pow.f32 alphax 2) (cos.f32 (*.f32 1/2 (PI.f32)))))) (/.f32 (*.f32 (pow.f32 alphay 2) (pow.f32 (sin.f32 (*.f32 1/2 (PI.f32))) 2)) (*.f32 (pow.f32 alphax 2) (pow.f32 (cos.f32 (*.f32 1/2 (PI.f32))) 2))))
(+.f32 (*.f32 2 (/.f32 (*.f32 (pow.f32 alphay 2) (*.f32 u1 (*.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))))))) (*.f32 (pow.f32 alphax 2) (cos.f32 (*.f32 1/2 (PI.f32)))))) (+.f32 (*.f32 (pow.f32 u1 2) (+.f32 (*.f32 4 (/.f32 (*.f32 (pow.f32 alphay 2) (*.f32 (PI.f32) (*.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))))))) (*.f32 (pow.f32 alphax 2) (pow.f32 (cos.f32 (*.f32 1/2 (PI.f32))) 2)))) (/.f32 (*.f32 (pow.f32 alphay 2) (pow.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)))) 2)) (pow.f32 alphax 2)))) (/.f32 (*.f32 (pow.f32 alphay 2) (pow.f32 (sin.f32 (*.f32 1/2 (PI.f32))) 2)) (*.f32 (pow.f32 alphax 2) (pow.f32 (cos.f32 (*.f32 1/2 (PI.f32))) 2)))))
(+.f32 (*.f32 2 (/.f32 (*.f32 (pow.f32 alphay 2) (*.f32 u1 (*.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))))))) (*.f32 (pow.f32 alphax 2) (cos.f32 (*.f32 1/2 (PI.f32)))))) (+.f32 (*.f32 (pow.f32 u1 2) (+.f32 (*.f32 4 (/.f32 (*.f32 (pow.f32 alphay 2) (*.f32 (PI.f32) (*.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))))))) (*.f32 (pow.f32 alphax 2) (pow.f32 (cos.f32 (*.f32 1/2 (PI.f32))) 2)))) (/.f32 (*.f32 (pow.f32 alphay 2) (pow.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)))) 2)) (pow.f32 alphax 2)))) (+.f32 (*.f32 (pow.f32 u1 3) (+.f32 (*.f32 2 (/.f32 (*.f32 (pow.f32 alphay 2) (*.f32 (sin.f32 (*.f32 1/2 (PI.f32))) (-.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 (pow.f32 alphax 2) (cos.f32 (*.f32 1/2 (PI.f32)))))) (*.f32 4 (/.f32 (*.f32 (pow.f32 alphay 2) (*.f32 (PI.f32) (*.f32 (sin.f32 (*.f32 1/2 (PI.f32))) (pow.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)))) 2)))) (*.f32 (pow.f32 alphax 2) (cos.f32 (*.f32 1/2 (PI.f32)))))))) (/.f32 (*.f32 (pow.f32 alphay 2) (pow.f32 (sin.f32 (*.f32 1/2 (PI.f32))) 2)) (*.f32 (pow.f32 alphax 2) (pow.f32 (cos.f32 (*.f32 1/2 (PI.f32))) 2))))))
(/.f32 (*.f32 (pow.f32 alphay 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) 2)) (*.f32 (pow.f32 alphax 2) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) 2)))
(/.f32 (*.f32 (pow.f32 alphay 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) 2)) (*.f32 (pow.f32 alphax 2) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) 2)))
(/.f32 (*.f32 (pow.f32 alphay 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) 2)) (*.f32 (pow.f32 alphax 2) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) 2)))
(/.f32 (*.f32 (pow.f32 alphay 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) 2)) (*.f32 (pow.f32 alphax 2) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) 2)))
(/.f32 (*.f32 (pow.f32 alphay 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) (-.f32 1/2 (*.f32 -2 u1)))) 2)) (*.f32 (pow.f32 alphax 2) (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 1/2 (*.f32 -2 u1)))) 2)))
(/.f32 (*.f32 (pow.f32 alphay 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) (-.f32 1/2 (*.f32 -2 u1)))) 2)) (*.f32 (pow.f32 alphax 2) (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 1/2 (*.f32 -2 u1)))) 2)))
(/.f32 (*.f32 (pow.f32 alphay 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) (-.f32 1/2 (*.f32 -2 u1)))) 2)) (*.f32 (pow.f32 alphax 2) (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 1/2 (*.f32 -2 u1)))) 2)))
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(exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) 1))
(fma.f32 (PI.f32) 1/2 (*.f32 (PI.f32) (*.f32 2 u1)))
(fma.f32 (PI.f32) (*.f32 2 u1) (*.f32 (PI.f32) 1/2))
(fma.f32 1/2 (PI.f32) (*.f32 (PI.f32) (*.f32 2 u1)))
(fma.f32 2 (*.f32 u1 (PI.f32)) (*.f32 (PI.f32) 1/2))
(fma.f32 u1 (*.f32 2 (PI.f32)) (*.f32 (PI.f32) 1/2))
(fma.f32 (*.f32 2 u1) (PI.f32) (*.f32 (PI.f32) 1/2))
(fma.f32 1 (*.f32 (PI.f32) 1/2) (*.f32 (PI.f32) (*.f32 2 u1)))
(fma.f32 1 (*.f32 (PI.f32) (*.f32 2 u1)) (*.f32 (PI.f32) 1/2))
(fma.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (*.f32 (cbrt.f32 (PI.f32)) 1/2) (*.f32 (PI.f32) (*.f32 2 u1)))
(fma.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 2 u1)) (*.f32 (PI.f32) 1/2))
(fma.f32 (pow.f32 (cbrt.f32 (*.f32 2 u1)) 2) (*.f32 (cbrt.f32 (*.f32 2 u1)) (PI.f32)) (*.f32 (PI.f32) 1/2))
(fma.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) 1/2) (*.f32 (PI.f32) (*.f32 2 u1)))
(fma.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 2 u1)) (*.f32 (PI.f32) 1/2))
(fma.f32 (sqrt.f32 (*.f32 2 u1)) (*.f32 (sqrt.f32 (*.f32 2 u1)) (PI.f32)) (*.f32 (PI.f32) 1/2))
(fma.f32 (*.f32 (PI.f32) 1/2) 1 (*.f32 (*.f32 (PI.f32) (*.f32 2 u1)) 1))
(fma.f32 (*.f32 (cbrt.f32 (*.f32 (PI.f32) 1/2)) (cbrt.f32 (*.f32 (PI.f32) 1/2))) (cbrt.f32 (*.f32 (PI.f32) 1/2)) (*.f32 (PI.f32) (*.f32 2 u1)))
(fma.f32 (*.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 2 u1))) (cbrt.f32 (*.f32 (PI.f32) (*.f32 2 u1)))) (cbrt.f32 (*.f32 (PI.f32) (*.f32 2 u1))) (*.f32 (PI.f32) 1/2))
(fma.f32 (sqrt.f32 (*.f32 (PI.f32) 1/2)) (sqrt.f32 (*.f32 (PI.f32) 1/2)) (*.f32 (PI.f32) (*.f32 2 u1)))
(fma.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 2 u1))) (sqrt.f32 (*.f32 (PI.f32) (*.f32 2 u1))) (*.f32 (PI.f32) 1/2))
(fma.f32 (*.f32 (sqrt.f32 (*.f32 2 u1)) (sqrt.f32 (PI.f32))) (*.f32 (sqrt.f32 (*.f32 2 u1)) (sqrt.f32 (PI.f32))) (*.f32 (PI.f32) 1/2))
(fma.f32 (*.f32 (sqrt.f32 (PI.f32)) (sqrt.f32 (*.f32 2 u1))) (*.f32 (sqrt.f32 (PI.f32)) (sqrt.f32 (*.f32 2 u1))) (*.f32 (PI.f32) 1/2))
(fma.f32 (*.f32 1/2 (pow.f32 (cbrt.f32 (PI.f32)) 2)) (cbrt.f32 (PI.f32)) (*.f32 (PI.f32) (*.f32 2 u1)))
(fma.f32 (*.f32 1/2 (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)) (*.f32 (PI.f32) (*.f32 2 u1)))
(fma.f32 (*.f32 (*.f32 2 u1) (pow.f32 (cbrt.f32 (PI.f32)) 2)) (cbrt.f32 (PI.f32)) (*.f32 (PI.f32) 1/2))
(fma.f32 (*.f32 (*.f32 2 u1) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)) (*.f32 (PI.f32) 1/2))
(fma.f32 (*.f32 (PI.f32) 2) u1 (*.f32 (PI.f32) 1/2))
(fma.f32 (*.f32 (PI.f32) u1) 2 (*.f32 (PI.f32) 1/2))
(fma.f32 (*.f32 (PI.f32) (pow.f32 (cbrt.f32 (*.f32 2 u1)) 2)) (cbrt.f32 (*.f32 2 u1)) (*.f32 (PI.f32) 1/2))
(fma.f32 (*.f32 (PI.f32) (sqrt.f32 (*.f32 2 u1))) (sqrt.f32 (*.f32 2 u1)) (*.f32 (PI.f32) 1/2))
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 (*.f32 -2 (*.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 2 (+.f32 (PI.f32) (/.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))))))
(fma.f32 2 (*.f32 (pow.f32 u1 2) (/.f32 (*.f32 (*.f32 (PI.f32) (sin.f32 (*.f32 1/2 (PI.f32)))) (-.f32 (*.f32 (PI.f32) 2) (/.f32 (*.f32 -2 (*.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))))) (fma.f32 u1 (-.f32 (*.f32 (PI.f32) 2) (/.f32 (*.f32 -2 (*.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 (sin.f32 (*.f32 1/2 (PI.f32))) (*.f32 2 (+.f32 (PI.f32) (/.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 (PI.f32) (cos.f32 (*.f32 1/2 (PI.f32)))))) (fma.f32 u1 (*.f32 2 (+.f32 (PI.f32) (/.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 (*.f32 (sin.f32 (*.f32 1/2 (PI.f32))) (*.f32 (*.f32 2 (+.f32 (PI.f32) (/.f32 (*.f32 (PI.f32) (pow.f32 (sin.f32 (*.f32 1/2 (PI.f32))) 2)) (pow.f32 (cos.f32 (*.f32 1/2 (PI.f32))) 2)))) (PI.f32))) (/.f32 (pow.f32 u1 2) (cos.f32 (*.f32 1/2 (PI.f32))))) (fma.f32 u1 (*.f32 2 (+.f32 (PI.f32) (/.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)))))))
(fma.f32 2 (*.f32 (pow.f32 u1 2) (/.f32 (*.f32 (*.f32 (PI.f32) (sin.f32 (*.f32 1/2 (PI.f32)))) (-.f32 (*.f32 (PI.f32) 2) (/.f32 (*.f32 -2 (*.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))))) (fma.f32 u1 (-.f32 (*.f32 (PI.f32) 2) (/.f32 (*.f32 -2 (*.f32 (PI.f32) (pow.f32 (sin.f32 (*.f32 1/2 (PI.f32))) 2))) (pow.f32 (cos.f32 (*.f32 1/2 (PI.f32))) 2))) (fma.f32 (pow.f32 u1 3) (-.f32 (*.f32 -4/3 (pow.f32 (PI.f32) 3)) (fma.f32 -4 (/.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) 2) (pow.f32 (sin.f32 (*.f32 1/2 (PI.f32))) 2)) (-.f32 (*.f32 (PI.f32) 2) (/.f32 (*.f32 -2 (*.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)) (fma.f32 -2 (*.f32 (-.f32 (*.f32 (PI.f32) 2) (/.f32 (*.f32 -2 (*.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 (PI.f32) 2)) (*.f32 4/3 (/.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 1/2 (PI.f32))) 2) (pow.f32 (PI.f32) 3)) (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 (sin.f32 (*.f32 1/2 (PI.f32))) (*.f32 2 (+.f32 (PI.f32) (/.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 (PI.f32) (cos.f32 (*.f32 1/2 (PI.f32)))))) (fma.f32 u1 (*.f32 2 (+.f32 (PI.f32) (/.f32 (*.f32 (PI.f32) (pow.f32 (sin.f32 (*.f32 1/2 (PI.f32))) 2)) (pow.f32 (cos.f32 (*.f32 1/2 (PI.f32))) 2)))) (fma.f32 (pow.f32 u1 3) (-.f32 (*.f32 -4/3 (pow.f32 (PI.f32) 3)) (fma.f32 -4 (*.f32 (pow.f32 (PI.f32) 2) (*.f32 (*.f32 2 (+.f32 (PI.f32) (/.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 (pow.f32 (sin.f32 (*.f32 1/2 (PI.f32))) 2) (pow.f32 (cos.f32 (*.f32 1/2 (PI.f32))) 2)))) (fma.f32 4/3 (/.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 1/2 (PI.f32))) 2) (pow.f32 (PI.f32) 3)) (pow.f32 (cos.f32 (*.f32 1/2 (PI.f32))) 2)) (*.f32 (*.f32 2 (+.f32 (PI.f32) (/.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 -2 (pow.f32 (PI.f32) 2)))))) (/.f32 (sin.f32 (*.f32 1/2 (PI.f32))) (cos.f32 (*.f32 1/2 (PI.f32)))))))
(fma.f32 2 (*.f32 (*.f32 (sin.f32 (*.f32 1/2 (PI.f32))) (*.f32 (*.f32 2 (+.f32 (PI.f32) (/.f32 (*.f32 (PI.f32) (pow.f32 (sin.f32 (*.f32 1/2 (PI.f32))) 2)) (pow.f32 (cos.f32 (*.f32 1/2 (PI.f32))) 2)))) (PI.f32))) (/.f32 (pow.f32 u1 2) (cos.f32 (*.f32 1/2 (PI.f32))))) (fma.f32 u1 (*.f32 2 (+.f32 (PI.f32) (/.f32 (*.f32 (PI.f32) (pow.f32 (sin.f32 (*.f32 1/2 (PI.f32))) 2)) (pow.f32 (cos.f32 (*.f32 1/2 (PI.f32))) 2)))) (fma.f32 (pow.f32 u1 3) (-.f32 (*.f32 -4/3 (pow.f32 (PI.f32) 3)) (fma.f32 -4 (*.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 1/2 (PI.f32))) 2) (*.f32 2 (+.f32 (PI.f32) (/.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 (pow.f32 (PI.f32) 2) (pow.f32 (cos.f32 (*.f32 1/2 (PI.f32))) 2))) (fma.f32 4/3 (*.f32 (pow.f32 (sin.f32 (*.f32 1/2 (PI.f32))) 2) (/.f32 (pow.f32 (PI.f32) 3) (pow.f32 (cos.f32 (*.f32 1/2 (PI.f32))) 2))) (*.f32 (*.f32 2 (+.f32 (PI.f32) (/.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 -2 (pow.f32 (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) (fma.f32 2 u1 1/2))) (cos.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))
(/.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 u1 2 1/2))) (cos.f32 (*.f32 (PI.f32) (fma.f32 u1 2 1/2))))
(/.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) (fma.f32 2 u1 1/2))) (cos.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))
(/.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 u1 2 1/2))) (cos.f32 (*.f32 (PI.f32) (fma.f32 u1 2 1/2))))
(/.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) (fma.f32 2 u1 1/2))) (cos.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))
(/.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 u1 2 1/2))) (cos.f32 (*.f32 (PI.f32) (fma.f32 u1 2 1/2))))
(/.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) (fma.f32 2 u1 1/2))) (cos.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))
(/.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 u1 2 1/2))) (cos.f32 (*.f32 (PI.f32) (fma.f32 u1 2 1/2))))
(/.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) (fma.f32 2 u1 1/2))) (cos.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))
(/.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 u1 2 1/2))) (cos.f32 (*.f32 (PI.f32) (fma.f32 u1 2 1/2))))
(/.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) (fma.f32 2 u1 1/2))) (cos.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))
(/.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 u1 2 1/2))) (cos.f32 (*.f32 (PI.f32) (fma.f32 u1 2 1/2))))
(/.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) (fma.f32 2 u1 1/2))) (cos.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))
(/.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 u1 2 1/2))) (cos.f32 (*.f32 (PI.f32) (fma.f32 u1 2 1/2))))
(/.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) (fma.f32 2 u1 1/2))) (cos.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))
(/.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 u1 2 1/2))) (cos.f32 (*.f32 (PI.f32) (fma.f32 u1 2 1/2))))
(/.f32 (*.f32 (pow.f32 alphay 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) 2)) (*.f32 (pow.f32 alphax 2) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) 2)))
(*.f32 (/.f32 (pow.f32 alphay 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) 2) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) 2)))
(*.f32 (/.f32 (pow.f32 alphay 2) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 u1 2 1/2))) 2)) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 u1 2 1/2))) 2) (pow.f32 alphax 2)))
(/.f32 (*.f32 (pow.f32 alphay 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) 2)) (*.f32 (pow.f32 alphax 2) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) 2)))
(*.f32 (/.f32 (pow.f32 alphay 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) 2) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) 2)))
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(*.f32 (PI.f32) (fma.f32 u1 2 1/2))
(fma.f32 (*.f32 (*.f32 2 u1) (pow.f32 (cbrt.f32 (PI.f32)) 2)) (cbrt.f32 (PI.f32)) (*.f32 (PI.f32) 1/2))
(*.f32 (PI.f32) (fma.f32 2 u1 1/2))
(*.f32 (PI.f32) (fma.f32 u1 2 1/2))
(fma.f32 (*.f32 (*.f32 2 u1) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)) (*.f32 (PI.f32) 1/2))
(*.f32 (PI.f32) (fma.f32 2 u1 1/2))
(*.f32 (PI.f32) (fma.f32 u1 2 1/2))
(fma.f32 (*.f32 (PI.f32) 2) u1 (*.f32 (PI.f32) 1/2))
(*.f32 (PI.f32) (fma.f32 2 u1 1/2))
(*.f32 (PI.f32) (fma.f32 u1 2 1/2))
(fma.f32 (*.f32 (PI.f32) u1) 2 (*.f32 (PI.f32) 1/2))
(*.f32 (PI.f32) (fma.f32 2 u1 1/2))
(*.f32 (PI.f32) (fma.f32 u1 2 1/2))
(fma.f32 (*.f32 (PI.f32) (pow.f32 (cbrt.f32 (*.f32 2 u1)) 2)) (cbrt.f32 (*.f32 2 u1)) (*.f32 (PI.f32) 1/2))
(*.f32 (PI.f32) (fma.f32 2 u1 1/2))
(*.f32 (PI.f32) (fma.f32 u1 2 1/2))
(fma.f32 (*.f32 (PI.f32) (sqrt.f32 (*.f32 2 u1))) (sqrt.f32 (*.f32 2 u1)) (*.f32 (PI.f32) 1/2))
(*.f32 (PI.f32) (fma.f32 2 u1 1/2))
(*.f32 (PI.f32) (fma.f32 u1 2 1/2))

eval558.0ms (0.6%)

Compiler

Compiled 27772 to 19387 computations (30.2% saved)

prune221.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New2912293
Fresh000
Picked101
Done000
Total2922294
Accuracy
99.5%
Counts
294 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (*.f32 (/.f32 1 (+.f32 (/.f32 (/.f32 1 (+.f32 1 (pow.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) 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)))))
98.2%
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (*.f32 (/.f32 1 (+.f32 (/.f32 (/.f32 1 (+.f32 1 (pow.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 1/2 (PI.f32))) 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)))))
Compiler

Compiled 148 to 110 computations (25.7% saved)

localize1.3min (75.7%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
6.3%
(PI.f32)
6.3%
(PI.f32)
Compiler

Compiled 1451 to 939 computations (35.3% saved)

series0.0ms (0%)

Counts
2 → 0

rewrite145.0ms (0.1%)

Algorithm
batch-egg-rewrite
Rules
737×log1p-expm1-u
737×expm1-log1p-u
647×prod-diff
460×log-prod
276×fma-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036
1246
22356
324226
Stop Event
node limit
Counts
2 → 126
Calls
Call 1
Inputs
(PI.f32)
(PI.f32)
Outputs
(+.f32 (PI.f32) 0)
(+.f32 (+.f32 (PI.f32) 1) -1)
(+.f32 0 (PI.f32))
(+.f32 (*.f32 2 (*.f32 1/3 (PI.f32))) (*.f32 1/3 (PI.f32)))
(+.f32 (*.f32 1/3 (PI.f32)) (*.f32 2 (*.f32 1/3 (PI.f32))))
(+.f32 (*.f32 1/2 (PI.f32)) (*.f32 1/2 (PI.f32)))
(-.f32 (+.f32 (PI.f32) 1) 1)
(-.f32 (+.f32 (PI.f32) 1) (log.f32 (E.f32)))
(-.f32 (log1p.f32 (pow.f32 (expm1.f32 (PI.f32)) 3)) (log.f32 (+.f32 1 (-.f32 (pow.f32 (expm1.f32 (PI.f32)) 2) (expm1.f32 (PI.f32))))))
(-.f32 (log.f32 (pow.f32 (E.f32) (+.f32 (PI.f32) 1))) (log.f32 (E.f32)))
(-.f32 (log.f32 (-.f32 1 (pow.f32 (expm1.f32 (PI.f32)) 2))) (log.f32 (-.f32 1 (expm1.f32 (PI.f32)))))
(*.f32 (PI.f32) 1)
(*.f32 (PI.f32) (log.f32 (E.f32)))
(*.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 2 (*.f32 1/2 (PI.f32)))
(*.f32 1/3 (*.f32 3 (PI.f32)))
(*.f32 3 (*.f32 1/3 (PI.f32)))
(*.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) 2) (*.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) (pow.f32 (cbrt.f32 (PI.f32)) 2)))
(*.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) (log.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2)) (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) 2))))
(*.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) 4)) (*.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) 2) (cbrt.f32 (PI.f32))))
(*.f32 (pow.f32 (PI.f32) 1/6) (*.f32 (pow.f32 (PI.f32) 1/6) (pow.f32 (cbrt.f32 (PI.f32)) 2)))
(*.f32 (pow.f32 (PI.f32) 1/6) (log.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2)) (pow.f32 (PI.f32) 1/6))))
(*.f32 (pow.f32 (PI.f32) 1/6) (log.f32 (pow.f32 (exp.f32 (sqrt.f32 (PI.f32))) (cbrt.f32 (PI.f32)))))
(*.f32 (pow.f32 (PI.f32) 1/4) (sqrt.f32 (pow.f32 (PI.f32) 3/2)))
(*.f32 (pow.f32 (PI.f32) 1/4) (*.f32 (pow.f32 (PI.f32) 1/4) (sqrt.f32 (PI.f32))))
(*.f32 (pow.f32 (PI.f32) 1/4) (log.f32 (pow.f32 (exp.f32 (sqrt.f32 (PI.f32))) (pow.f32 (PI.f32) 1/4))))
(*.f32 (log.f32 (E.f32)) (PI.f32))
(*.f32 (pow.f32 1 1/3) (PI.f32))
(*.f32 (pow.f32 (pow.f32 (pow.f32 (cbrt.f32 (PI.f32)) 4) 2) 1/3) (cbrt.f32 (cbrt.f32 (PI.f32))))
(*.f32 (pow.f32 (pow.f32 (PI.f32) 5/2) 1/3) (pow.f32 (PI.f32) 1/6))
(*.f32 (*.f32 (sqrt.f32 (PI.f32)) (cbrt.f32 (PI.f32))) (pow.f32 (PI.f32) 1/6))
(*.f32 (cbrt.f32 (pow.f32 (pow.f32 (cbrt.f32 (PI.f32)) 4) 2)) (cbrt.f32 (cbrt.f32 (PI.f32))))
(*.f32 (cbrt.f32 (pow.f32 (PI.f32) 5/2)) (pow.f32 (PI.f32) 1/6))
(*.f32 (*.f32 (sqrt.f32 (PI.f32)) (pow.f32 (PI.f32) 1/4)) (pow.f32 (PI.f32) 1/4))
(*.f32 (sqrt.f32 (pow.f32 (PI.f32) 3/2)) (pow.f32 (PI.f32) 1/4))
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) 5)) (pow.f32 (PI.f32) 1/6))
(*.f32 (*.f32 (cbrt.f32 (PI.f32)) (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) 4))) (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) 2))
(*.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) 2)) (cbrt.f32 (cbrt.f32 (PI.f32))))
(*.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (pow.f32 (PI.f32) 1/6)) (pow.f32 (PI.f32) 1/6))
(/.f32 (-.f32 (pow.f32 (+.f32 (PI.f32) 1) 3) 1) (fma.f32 (+.f32 (PI.f32) 1) (+.f32 (PI.f32) 1) (+.f32 1 (+.f32 (PI.f32) 1))))
(/.f32 (fma.f32 (+.f32 (PI.f32) 1) (+.f32 (PI.f32) 1) -1) (+.f32 (+.f32 (PI.f32) 1) 1))
(pow.f32 (PI.f32) 1)
(pow.f32 (cbrt.f32 (PI.f32)) 3)
(pow.f32 (pow.f32 (PI.f32) 2) 1/2)
(pow.f32 (pow.f32 (PI.f32) 3) 1/3)
(pow.f32 (sqrt.f32 (PI.f32)) 2)
(pow.f32 (E.f32) (log.f32 (PI.f32)))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (PI.f32))) 2)) (cbrt.f32 (log.f32 (PI.f32))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (PI.f32)))) (sqrt.f32 (log.f32 (PI.f32))))
(sqrt.f32 (pow.f32 (PI.f32) 2))
(fabs.f32 (PI.f32))
(log.f32 (exp.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)))
(fma.f32 1 (+.f32 (PI.f32) 1) -1)
(fma.f32 (+.f32 (PI.f32) 1) 1 -1)
(fma.f32 (*.f32 (cbrt.f32 (+.f32 (PI.f32) 1)) (cbrt.f32 (+.f32 (PI.f32) 1))) (cbrt.f32 (+.f32 (PI.f32) 1)) -1)
(fma.f32 (sqrt.f32 (+.f32 (PI.f32) 1)) (sqrt.f32 (+.f32 (PI.f32) 1)) -1)
(+.f32 (PI.f32) 0)
(+.f32 (+.f32 (PI.f32) 1) -1)
(+.f32 0 (PI.f32))
(+.f32 (*.f32 2 (*.f32 1/3 (PI.f32))) (*.f32 1/3 (PI.f32)))
(+.f32 (*.f32 1/3 (PI.f32)) (*.f32 2 (*.f32 1/3 (PI.f32))))
(+.f32 (*.f32 1/2 (PI.f32)) (*.f32 1/2 (PI.f32)))
(-.f32 (+.f32 (PI.f32) 1) 1)
(-.f32 (+.f32 (PI.f32) 1) (log.f32 (E.f32)))
(-.f32 (log1p.f32 (pow.f32 (expm1.f32 (PI.f32)) 3)) (log.f32 (+.f32 1 (-.f32 (pow.f32 (expm1.f32 (PI.f32)) 2) (expm1.f32 (PI.f32))))))
(-.f32 (log.f32 (pow.f32 (E.f32) (+.f32 (PI.f32) 1))) (log.f32 (E.f32)))
(-.f32 (log.f32 (-.f32 1 (pow.f32 (expm1.f32 (PI.f32)) 2))) (log.f32 (-.f32 1 (expm1.f32 (PI.f32)))))
(*.f32 (PI.f32) 1)
(*.f32 (PI.f32) (log.f32 (E.f32)))
(*.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 2 (*.f32 1/2 (PI.f32)))
(*.f32 1/3 (*.f32 3 (PI.f32)))
(*.f32 3 (*.f32 1/3 (PI.f32)))
(*.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) 2) (*.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) (pow.f32 (cbrt.f32 (PI.f32)) 2)))
(*.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) (log.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2)) (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) 2))))
(*.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) 4)) (*.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) 2) (cbrt.f32 (PI.f32))))
(*.f32 (pow.f32 (PI.f32) 1/6) (*.f32 (pow.f32 (PI.f32) 1/6) (pow.f32 (cbrt.f32 (PI.f32)) 2)))
(*.f32 (pow.f32 (PI.f32) 1/6) (log.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2)) (pow.f32 (PI.f32) 1/6))))
(*.f32 (pow.f32 (PI.f32) 1/6) (log.f32 (pow.f32 (exp.f32 (sqrt.f32 (PI.f32))) (cbrt.f32 (PI.f32)))))
(*.f32 (pow.f32 (PI.f32) 1/4) (sqrt.f32 (pow.f32 (PI.f32) 3/2)))
(*.f32 (pow.f32 (PI.f32) 1/4) (*.f32 (pow.f32 (PI.f32) 1/4) (sqrt.f32 (PI.f32))))
(*.f32 (pow.f32 (PI.f32) 1/4) (log.f32 (pow.f32 (exp.f32 (sqrt.f32 (PI.f32))) (pow.f32 (PI.f32) 1/4))))
(*.f32 (log.f32 (E.f32)) (PI.f32))
(*.f32 (pow.f32 1 1/3) (PI.f32))
(*.f32 (pow.f32 (pow.f32 (pow.f32 (cbrt.f32 (PI.f32)) 4) 2) 1/3) (cbrt.f32 (cbrt.f32 (PI.f32))))
(*.f32 (pow.f32 (pow.f32 (PI.f32) 5/2) 1/3) (pow.f32 (PI.f32) 1/6))
(*.f32 (*.f32 (sqrt.f32 (PI.f32)) (cbrt.f32 (PI.f32))) (pow.f32 (PI.f32) 1/6))
(*.f32 (cbrt.f32 (pow.f32 (pow.f32 (cbrt.f32 (PI.f32)) 4) 2)) (cbrt.f32 (cbrt.f32 (PI.f32))))
(*.f32 (cbrt.f32 (pow.f32 (PI.f32) 5/2)) (pow.f32 (PI.f32) 1/6))
(*.f32 (*.f32 (sqrt.f32 (PI.f32)) (pow.f32 (PI.f32) 1/4)) (pow.f32 (PI.f32) 1/4))
(*.f32 (sqrt.f32 (pow.f32 (PI.f32) 3/2)) (pow.f32 (PI.f32) 1/4))
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) 5)) (pow.f32 (PI.f32) 1/6))
(*.f32 (*.f32 (cbrt.f32 (PI.f32)) (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) 4))) (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) 2))
(*.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) 2)) (cbrt.f32 (cbrt.f32 (PI.f32))))
(*.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (pow.f32 (PI.f32) 1/6)) (pow.f32 (PI.f32) 1/6))
(/.f32 (-.f32 (pow.f32 (+.f32 (PI.f32) 1) 3) 1) (fma.f32 (+.f32 (PI.f32) 1) (+.f32 (PI.f32) 1) (+.f32 1 (+.f32 (PI.f32) 1))))
(/.f32 (fma.f32 (+.f32 (PI.f32) 1) (+.f32 (PI.f32) 1) -1) (+.f32 (+.f32 (PI.f32) 1) 1))
(pow.f32 (PI.f32) 1)
(pow.f32 (cbrt.f32 (PI.f32)) 3)
(pow.f32 (pow.f32 (PI.f32) 2) 1/2)
(pow.f32 (pow.f32 (PI.f32) 3) 1/3)
(pow.f32 (sqrt.f32 (PI.f32)) 2)
(pow.f32 (E.f32) (log.f32 (PI.f32)))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (PI.f32))) 2)) (cbrt.f32 (log.f32 (PI.f32))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (PI.f32)))) (sqrt.f32 (log.f32 (PI.f32))))
(sqrt.f32 (pow.f32 (PI.f32) 2))
(fabs.f32 (PI.f32))
(log.f32 (exp.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)))
(fma.f32 1 (+.f32 (PI.f32) 1) -1)
(fma.f32 (+.f32 (PI.f32) 1) 1 -1)
(fma.f32 (*.f32 (cbrt.f32 (+.f32 (PI.f32) 1)) (cbrt.f32 (+.f32 (PI.f32) 1))) (cbrt.f32 (+.f32 (PI.f32) 1)) -1)
(fma.f32 (sqrt.f32 (+.f32 (PI.f32) 1)) (sqrt.f32 (+.f32 (PI.f32) 1)) -1)

simplify118.0ms (0.1%)

Algorithm
egg-herbie
Rules
835×log-prod
512×associate-+l+
489×associate-+r+
257×unswap-sqr
231×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01601602
13681522
214361490
370301490
Stop Event
node limit
Counts
126 → 83
Calls
Call 1
Inputs
(+.f32 (PI.f32) 0)
(+.f32 (+.f32 (PI.f32) 1) -1)
(+.f32 0 (PI.f32))
(+.f32 (*.f32 2 (*.f32 1/3 (PI.f32))) (*.f32 1/3 (PI.f32)))
(+.f32 (*.f32 1/3 (PI.f32)) (*.f32 2 (*.f32 1/3 (PI.f32))))
(+.f32 (*.f32 1/2 (PI.f32)) (*.f32 1/2 (PI.f32)))
(-.f32 (+.f32 (PI.f32) 1) 1)
(-.f32 (+.f32 (PI.f32) 1) (log.f32 (E.f32)))
(-.f32 (log1p.f32 (pow.f32 (expm1.f32 (PI.f32)) 3)) (log.f32 (+.f32 1 (-.f32 (pow.f32 (expm1.f32 (PI.f32)) 2) (expm1.f32 (PI.f32))))))
(-.f32 (log.f32 (pow.f32 (E.f32) (+.f32 (PI.f32) 1))) (log.f32 (E.f32)))
(-.f32 (log.f32 (-.f32 1 (pow.f32 (expm1.f32 (PI.f32)) 2))) (log.f32 (-.f32 1 (expm1.f32 (PI.f32)))))
(*.f32 (PI.f32) 1)
(*.f32 (PI.f32) (log.f32 (E.f32)))
(*.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 2 (*.f32 1/2 (PI.f32)))
(*.f32 1/3 (*.f32 3 (PI.f32)))
(*.f32 3 (*.f32 1/3 (PI.f32)))
(*.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) 2) (*.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) (pow.f32 (cbrt.f32 (PI.f32)) 2)))
(*.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) (log.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2)) (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) 2))))
(*.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) 4)) (*.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) 2) (cbrt.f32 (PI.f32))))
(*.f32 (pow.f32 (PI.f32) 1/6) (*.f32 (pow.f32 (PI.f32) 1/6) (pow.f32 (cbrt.f32 (PI.f32)) 2)))
(*.f32 (pow.f32 (PI.f32) 1/6) (log.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2)) (pow.f32 (PI.f32) 1/6))))
(*.f32 (pow.f32 (PI.f32) 1/6) (log.f32 (pow.f32 (exp.f32 (sqrt.f32 (PI.f32))) (cbrt.f32 (PI.f32)))))
(*.f32 (pow.f32 (PI.f32) 1/4) (sqrt.f32 (pow.f32 (PI.f32) 3/2)))
(*.f32 (pow.f32 (PI.f32) 1/4) (*.f32 (pow.f32 (PI.f32) 1/4) (sqrt.f32 (PI.f32))))
(*.f32 (pow.f32 (PI.f32) 1/4) (log.f32 (pow.f32 (exp.f32 (sqrt.f32 (PI.f32))) (pow.f32 (PI.f32) 1/4))))
(*.f32 (log.f32 (E.f32)) (PI.f32))
(*.f32 (pow.f32 1 1/3) (PI.f32))
(*.f32 (pow.f32 (pow.f32 (pow.f32 (cbrt.f32 (PI.f32)) 4) 2) 1/3) (cbrt.f32 (cbrt.f32 (PI.f32))))
(*.f32 (pow.f32 (pow.f32 (PI.f32) 5/2) 1/3) (pow.f32 (PI.f32) 1/6))
(*.f32 (*.f32 (sqrt.f32 (PI.f32)) (cbrt.f32 (PI.f32))) (pow.f32 (PI.f32) 1/6))
(*.f32 (cbrt.f32 (pow.f32 (pow.f32 (cbrt.f32 (PI.f32)) 4) 2)) (cbrt.f32 (cbrt.f32 (PI.f32))))
(*.f32 (cbrt.f32 (pow.f32 (PI.f32) 5/2)) (pow.f32 (PI.f32) 1/6))
(*.f32 (*.f32 (sqrt.f32 (PI.f32)) (pow.f32 (PI.f32) 1/4)) (pow.f32 (PI.f32) 1/4))
(*.f32 (sqrt.f32 (pow.f32 (PI.f32) 3/2)) (pow.f32 (PI.f32) 1/4))
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) 5)) (pow.f32 (PI.f32) 1/6))
(*.f32 (*.f32 (cbrt.f32 (PI.f32)) (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) 4))) (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) 2))
(*.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) 2)) (cbrt.f32 (cbrt.f32 (PI.f32))))
(*.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (pow.f32 (PI.f32) 1/6)) (pow.f32 (PI.f32) 1/6))
(/.f32 (-.f32 (pow.f32 (+.f32 (PI.f32) 1) 3) 1) (fma.f32 (+.f32 (PI.f32) 1) (+.f32 (PI.f32) 1) (+.f32 1 (+.f32 (PI.f32) 1))))
(/.f32 (fma.f32 (+.f32 (PI.f32) 1) (+.f32 (PI.f32) 1) -1) (+.f32 (+.f32 (PI.f32) 1) 1))
(pow.f32 (PI.f32) 1)
(pow.f32 (cbrt.f32 (PI.f32)) 3)
(pow.f32 (pow.f32 (PI.f32) 2) 1/2)
(pow.f32 (pow.f32 (PI.f32) 3) 1/3)
(pow.f32 (sqrt.f32 (PI.f32)) 2)
(pow.f32 (E.f32) (log.f32 (PI.f32)))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (PI.f32))) 2)) (cbrt.f32 (log.f32 (PI.f32))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (PI.f32)))) (sqrt.f32 (log.f32 (PI.f32))))
(sqrt.f32 (pow.f32 (PI.f32) 2))
(fabs.f32 (PI.f32))
(log.f32 (exp.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)))
(fma.f32 1 (+.f32 (PI.f32) 1) -1)
(fma.f32 (+.f32 (PI.f32) 1) 1 -1)
(fma.f32 (*.f32 (cbrt.f32 (+.f32 (PI.f32) 1)) (cbrt.f32 (+.f32 (PI.f32) 1))) (cbrt.f32 (+.f32 (PI.f32) 1)) -1)
(fma.f32 (sqrt.f32 (+.f32 (PI.f32) 1)) (sqrt.f32 (+.f32 (PI.f32) 1)) -1)
(+.f32 (PI.f32) 0)
(+.f32 (+.f32 (PI.f32) 1) -1)
(+.f32 0 (PI.f32))
(+.f32 (*.f32 2 (*.f32 1/3 (PI.f32))) (*.f32 1/3 (PI.f32)))
(+.f32 (*.f32 1/3 (PI.f32)) (*.f32 2 (*.f32 1/3 (PI.f32))))
(+.f32 (*.f32 1/2 (PI.f32)) (*.f32 1/2 (PI.f32)))
(-.f32 (+.f32 (PI.f32) 1) 1)
(-.f32 (+.f32 (PI.f32) 1) (log.f32 (E.f32)))
(-.f32 (log1p.f32 (pow.f32 (expm1.f32 (PI.f32)) 3)) (log.f32 (+.f32 1 (-.f32 (pow.f32 (expm1.f32 (PI.f32)) 2) (expm1.f32 (PI.f32))))))
(-.f32 (log.f32 (pow.f32 (E.f32) (+.f32 (PI.f32) 1))) (log.f32 (E.f32)))
(-.f32 (log.f32 (-.f32 1 (pow.f32 (expm1.f32 (PI.f32)) 2))) (log.f32 (-.f32 1 (expm1.f32 (PI.f32)))))
(*.f32 (PI.f32) 1)
(*.f32 (PI.f32) (log.f32 (E.f32)))
(*.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 2 (*.f32 1/2 (PI.f32)))
(*.f32 1/3 (*.f32 3 (PI.f32)))
(*.f32 3 (*.f32 1/3 (PI.f32)))
(*.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) 2) (*.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) (pow.f32 (cbrt.f32 (PI.f32)) 2)))
(*.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) (log.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2)) (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) 2))))
(*.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) 4)) (*.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) 2) (cbrt.f32 (PI.f32))))
(*.f32 (pow.f32 (PI.f32) 1/6) (*.f32 (pow.f32 (PI.f32) 1/6) (pow.f32 (cbrt.f32 (PI.f32)) 2)))
(*.f32 (pow.f32 (PI.f32) 1/6) (log.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2)) (pow.f32 (PI.f32) 1/6))))
(*.f32 (pow.f32 (PI.f32) 1/6) (log.f32 (pow.f32 (exp.f32 (sqrt.f32 (PI.f32))) (cbrt.f32 (PI.f32)))))
(*.f32 (pow.f32 (PI.f32) 1/4) (sqrt.f32 (pow.f32 (PI.f32) 3/2)))
(*.f32 (pow.f32 (PI.f32) 1/4) (*.f32 (pow.f32 (PI.f32) 1/4) (sqrt.f32 (PI.f32))))
(*.f32 (pow.f32 (PI.f32) 1/4) (log.f32 (pow.f32 (exp.f32 (sqrt.f32 (PI.f32))) (pow.f32 (PI.f32) 1/4))))
(*.f32 (log.f32 (E.f32)) (PI.f32))
(*.f32 (pow.f32 1 1/3) (PI.f32))
(*.f32 (pow.f32 (pow.f32 (pow.f32 (cbrt.f32 (PI.f32)) 4) 2) 1/3) (cbrt.f32 (cbrt.f32 (PI.f32))))
(*.f32 (pow.f32 (pow.f32 (PI.f32) 5/2) 1/3) (pow.f32 (PI.f32) 1/6))
(*.f32 (*.f32 (sqrt.f32 (PI.f32)) (cbrt.f32 (PI.f32))) (pow.f32 (PI.f32) 1/6))
(*.f32 (cbrt.f32 (pow.f32 (pow.f32 (cbrt.f32 (PI.f32)) 4) 2)) (cbrt.f32 (cbrt.f32 (PI.f32))))
(*.f32 (cbrt.f32 (pow.f32 (PI.f32) 5/2)) (pow.f32 (PI.f32) 1/6))
(*.f32 (*.f32 (sqrt.f32 (PI.f32)) (pow.f32 (PI.f32) 1/4)) (pow.f32 (PI.f32) 1/4))
(*.f32 (sqrt.f32 (pow.f32 (PI.f32) 3/2)) (pow.f32 (PI.f32) 1/4))
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) 5)) (pow.f32 (PI.f32) 1/6))
(*.f32 (*.f32 (cbrt.f32 (PI.f32)) (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) 4))) (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) 2))
(*.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) 2)) (cbrt.f32 (cbrt.f32 (PI.f32))))
(*.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (pow.f32 (PI.f32) 1/6)) (pow.f32 (PI.f32) 1/6))
(/.f32 (-.f32 (pow.f32 (+.f32 (PI.f32) 1) 3) 1) (fma.f32 (+.f32 (PI.f32) 1) (+.f32 (PI.f32) 1) (+.f32 1 (+.f32 (PI.f32) 1))))
(/.f32 (fma.f32 (+.f32 (PI.f32) 1) (+.f32 (PI.f32) 1) -1) (+.f32 (+.f32 (PI.f32) 1) 1))
(pow.f32 (PI.f32) 1)
(pow.f32 (cbrt.f32 (PI.f32)) 3)
(pow.f32 (pow.f32 (PI.f32) 2) 1/2)
(pow.f32 (pow.f32 (PI.f32) 3) 1/3)
(pow.f32 (sqrt.f32 (PI.f32)) 2)
(pow.f32 (E.f32) (log.f32 (PI.f32)))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (PI.f32))) 2)) (cbrt.f32 (log.f32 (PI.f32))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (PI.f32)))) (sqrt.f32 (log.f32 (PI.f32))))
(sqrt.f32 (pow.f32 (PI.f32) 2))
(fabs.f32 (PI.f32))
(log.f32 (exp.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)))
(fma.f32 1 (+.f32 (PI.f32) 1) -1)
(fma.f32 (+.f32 (PI.f32) 1) 1 -1)
(fma.f32 (*.f32 (cbrt.f32 (+.f32 (PI.f32) 1)) (cbrt.f32 (+.f32 (PI.f32) 1))) (cbrt.f32 (+.f32 (PI.f32) 1)) -1)
(fma.f32 (sqrt.f32 (+.f32 (PI.f32) 1)) (sqrt.f32 (+.f32 (PI.f32) 1)) -1)
Outputs
(+.f32 (PI.f32) 0)
(PI.f32)
(+.f32 (+.f32 (PI.f32) 1) -1)
(PI.f32)
(+.f32 0 (PI.f32))
(PI.f32)
(+.f32 (*.f32 2 (*.f32 1/3 (PI.f32))) (*.f32 1/3 (PI.f32)))
(PI.f32)
(+.f32 (*.f32 1/3 (PI.f32)) (*.f32 2 (*.f32 1/3 (PI.f32))))
(PI.f32)
(+.f32 (*.f32 1/2 (PI.f32)) (*.f32 1/2 (PI.f32)))
(PI.f32)
(-.f32 (+.f32 (PI.f32) 1) 1)
(PI.f32)
(-.f32 (+.f32 (PI.f32) 1) (log.f32 (E.f32)))
(PI.f32)
(-.f32 (log1p.f32 (pow.f32 (expm1.f32 (PI.f32)) 3)) (log.f32 (+.f32 1 (-.f32 (pow.f32 (expm1.f32 (PI.f32)) 2) (expm1.f32 (PI.f32))))))
(-.f32 (log1p.f32 (pow.f32 (expm1.f32 (PI.f32)) 3)) (log1p.f32 (-.f32 (pow.f32 (expm1.f32 (PI.f32)) 2) (expm1.f32 (PI.f32)))))
(-.f32 (log.f32 (pow.f32 (E.f32) (+.f32 (PI.f32) 1))) (log.f32 (E.f32)))
(PI.f32)
(-.f32 (log.f32 (-.f32 1 (pow.f32 (expm1.f32 (PI.f32)) 2))) (log.f32 (-.f32 1 (expm1.f32 (PI.f32)))))
(-.f32 (log1p.f32 (neg.f32 (pow.f32 (expm1.f32 (PI.f32)) 2))) (log1p.f32 (neg.f32 (expm1.f32 (PI.f32)))))
(*.f32 (PI.f32) 1)
(PI.f32)
(*.f32 (PI.f32) (log.f32 (E.f32)))
(PI.f32)
(*.f32 1 (PI.f32))
(PI.f32)
(*.f32 (cbrt.f32 (PI.f32)) (pow.f32 (cbrt.f32 (PI.f32)) 2))
(PI.f32)
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (cbrt.f32 (PI.f32)))
(PI.f32)
(*.f32 (sqrt.f32 (PI.f32)) (sqrt.f32 (PI.f32)))
(PI.f32)
(*.f32 2 (*.f32 1/2 (PI.f32)))
(PI.f32)
(*.f32 1/3 (*.f32 3 (PI.f32)))
(PI.f32)
(*.f32 3 (*.f32 1/3 (PI.f32)))
(PI.f32)
(*.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) 2) (*.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) (pow.f32 (cbrt.f32 (PI.f32)) 2)))
(PI.f32)
(*.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) (log.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2)) (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) 2))))
(PI.f32)
(*.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) 4)) (*.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) 2) (cbrt.f32 (PI.f32))))
(*.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) 4)) (*.f32 (cbrt.f32 (PI.f32)) (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) 2)))
(*.f32 (cbrt.f32 (PI.f32)) (*.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) 2) (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) 4))))
(*.f32 (pow.f32 (PI.f32) 1/6) (*.f32 (pow.f32 (PI.f32) 1/6) (pow.f32 (cbrt.f32 (PI.f32)) 2)))
(PI.f32)
(*.f32 (pow.f32 (PI.f32) 1/6) (log.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2)) (pow.f32 (PI.f32) 1/6))))
(PI.f32)
(*.f32 (pow.f32 (PI.f32) 1/6) (log.f32 (pow.f32 (exp.f32 (sqrt.f32 (PI.f32))) (cbrt.f32 (PI.f32)))))
(*.f32 (pow.f32 (PI.f32) 1/6) (*.f32 (cbrt.f32 (PI.f32)) (log.f32 (exp.f32 (sqrt.f32 (PI.f32))))))
(*.f32 (cbrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (pow.f32 (PI.f32) 1/6)))
(*.f32 (pow.f32 (PI.f32) 1/4) (sqrt.f32 (pow.f32 (PI.f32) 3/2)))
(*.f32 (pow.f32 (PI.f32) 1/4) (fabs.f32 (pow.f32 (PI.f32) 3/4)))
(*.f32 (pow.f32 (PI.f32) 1/4) (pow.f32 (PI.f32) 3/4))
(*.f32 (pow.f32 (PI.f32) 1/4) (*.f32 (pow.f32 (PI.f32) 1/4) (sqrt.f32 (PI.f32))))
(PI.f32)
(*.f32 (pow.f32 (PI.f32) 1/4) (log.f32 (pow.f32 (exp.f32 (sqrt.f32 (PI.f32))) (pow.f32 (PI.f32) 1/4))))
(PI.f32)
(*.f32 (log.f32 (E.f32)) (PI.f32))
(PI.f32)
(*.f32 (pow.f32 1 1/3) (PI.f32))
(PI.f32)
(*.f32 (pow.f32 (pow.f32 (pow.f32 (cbrt.f32 (PI.f32)) 4) 2) 1/3) (cbrt.f32 (cbrt.f32 (PI.f32))))
(*.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) (cbrt.f32 (pow.f32 (pow.f32 (cbrt.f32 (PI.f32)) 4) 2)))
(*.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) 8)))
(*.f32 (pow.f32 (pow.f32 (PI.f32) 5/2) 1/3) (pow.f32 (PI.f32) 1/6))
(*.f32 (pow.f32 (PI.f32) 1/6) (cbrt.f32 (pow.f32 (PI.f32) 5/2)))
(*.f32 (*.f32 (sqrt.f32 (PI.f32)) (cbrt.f32 (PI.f32))) (pow.f32 (PI.f32) 1/6))
(*.f32 (pow.f32 (PI.f32) 1/6) (*.f32 (cbrt.f32 (PI.f32)) (log.f32 (exp.f32 (sqrt.f32 (PI.f32))))))
(*.f32 (cbrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (pow.f32 (PI.f32) 1/6)))
(*.f32 (cbrt.f32 (pow.f32 (pow.f32 (cbrt.f32 (PI.f32)) 4) 2)) (cbrt.f32 (cbrt.f32 (PI.f32))))
(*.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) (cbrt.f32 (pow.f32 (pow.f32 (cbrt.f32 (PI.f32)) 4) 2)))
(*.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) 8)))
(*.f32 (cbrt.f32 (pow.f32 (PI.f32) 5/2)) (pow.f32 (PI.f32) 1/6))
(*.f32 (pow.f32 (PI.f32) 1/6) (cbrt.f32 (pow.f32 (PI.f32) 5/2)))
(*.f32 (*.f32 (sqrt.f32 (PI.f32)) (pow.f32 (PI.f32) 1/4)) (pow.f32 (PI.f32) 1/4))
(PI.f32)
(*.f32 (sqrt.f32 (pow.f32 (PI.f32) 3/2)) (pow.f32 (PI.f32) 1/4))
(*.f32 (pow.f32 (PI.f32) 1/4) (sqrt.f32 (pow.f32 (PI.f32) 3/2)))
(*.f32 (pow.f32 (PI.f32) 1/4) (fabs.f32 (pow.f32 (PI.f32) 3/4)))
(*.f32 (pow.f32 (PI.f32) 1/4) (pow.f32 (PI.f32) 3/4))
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) 5)) (pow.f32 (PI.f32) 1/6))
(*.f32 (pow.f32 (PI.f32) 1/6) (sqrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) 5)))
(*.f32 (pow.f32 (PI.f32) 1/6) (pow.f32 (cbrt.f32 (PI.f32)) 5/2))
(*.f32 (*.f32 (cbrt.f32 (PI.f32)) (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) 4))) (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) 2))
(*.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) 4)) (*.f32 (cbrt.f32 (PI.f32)) (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) 2)))
(*.f32 (cbrt.f32 (PI.f32)) (*.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) 2) (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) 4))))
(*.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) 2)) (cbrt.f32 (cbrt.f32 (PI.f32))))
(PI.f32)
(*.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (pow.f32 (PI.f32) 1/6)) (pow.f32 (PI.f32) 1/6))
(PI.f32)
(/.f32 (-.f32 (pow.f32 (+.f32 (PI.f32) 1) 3) 1) (fma.f32 (+.f32 (PI.f32) 1) (+.f32 (PI.f32) 1) (+.f32 1 (+.f32 (PI.f32) 1))))
(/.f32 (+.f32 (pow.f32 (+.f32 (PI.f32) 1) 3) -1) (fma.f32 (+.f32 (PI.f32) 1) (+.f32 (PI.f32) 1) (+.f32 (PI.f32) 2)))
(/.f32 (+.f32 -1 (pow.f32 (+.f32 (PI.f32) 1) 3)) (fma.f32 (+.f32 (PI.f32) 1) (+.f32 (PI.f32) 1) (+.f32 (PI.f32) 2)))
(/.f32 (+.f32 -1 (pow.f32 (+.f32 (PI.f32) 1) 3)) (+.f32 1 (*.f32 (+.f32 (PI.f32) 1) (+.f32 (PI.f32) 2))))
(/.f32 (fma.f32 (+.f32 (PI.f32) 1) (+.f32 (PI.f32) 1) -1) (+.f32 (+.f32 (PI.f32) 1) 1))
(/.f32 (fma.f32 (+.f32 (PI.f32) 1) (+.f32 (PI.f32) 1) -1) (+.f32 (PI.f32) 2))
(/.f32 (*.f32 (+.f32 (PI.f32) 2) (PI.f32)) (+.f32 (PI.f32) 2))
(*.f32 (+.f32 (PI.f32) 2) (/.f32 (PI.f32) (+.f32 (PI.f32) 2)))
(pow.f32 (PI.f32) 1)
(PI.f32)
(pow.f32 (cbrt.f32 (PI.f32)) 3)
(PI.f32)
(pow.f32 (pow.f32 (PI.f32) 2) 1/2)
(PI.f32)
(pow.f32 (pow.f32 (PI.f32) 3) 1/3)
(PI.f32)
(pow.f32 (sqrt.f32 (PI.f32)) 2)
(PI.f32)
(pow.f32 (E.f32) (log.f32 (PI.f32)))
(PI.f32)
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (PI.f32))) 2)) (cbrt.f32 (log.f32 (PI.f32))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (PI.f32)))) (sqrt.f32 (log.f32 (PI.f32))))
(sqrt.f32 (pow.f32 (PI.f32) 2))
(PI.f32)
(fabs.f32 (PI.f32))
(PI.f32)
(log.f32 (exp.f32 (PI.f32)))
(PI.f32)
(cbrt.f32 (pow.f32 (PI.f32) 3))
(PI.f32)
(expm1.f32 (log1p.f32 (PI.f32)))
(PI.f32)
(log1p.f32 (expm1.f32 (PI.f32)))
(PI.f32)
(exp.f32 (log.f32 (PI.f32)))
(PI.f32)
(fma.f32 1 (+.f32 (PI.f32) 1) -1)
(PI.f32)
(fma.f32 (+.f32 (PI.f32) 1) 1 -1)
(PI.f32)
(fma.f32 (*.f32 (cbrt.f32 (+.f32 (PI.f32) 1)) (cbrt.f32 (+.f32 (PI.f32) 1))) (cbrt.f32 (+.f32 (PI.f32) 1)) -1)
(PI.f32)
(fma.f32 (sqrt.f32 (+.f32 (PI.f32) 1)) (sqrt.f32 (+.f32 (PI.f32) 1)) -1)
(PI.f32)
(+.f32 (PI.f32) 0)
(PI.f32)
(+.f32 (+.f32 (PI.f32) 1) -1)
(PI.f32)
(+.f32 0 (PI.f32))
(PI.f32)
(+.f32 (*.f32 2 (*.f32 1/3 (PI.f32))) (*.f32 1/3 (PI.f32)))
(PI.f32)
(+.f32 (*.f32 1/3 (PI.f32)) (*.f32 2 (*.f32 1/3 (PI.f32))))
(PI.f32)
(+.f32 (*.f32 1/2 (PI.f32)) (*.f32 1/2 (PI.f32)))
(PI.f32)
(-.f32 (+.f32 (PI.f32) 1) 1)
(PI.f32)
(-.f32 (+.f32 (PI.f32) 1) (log.f32 (E.f32)))
(PI.f32)
(-.f32 (log1p.f32 (pow.f32 (expm1.f32 (PI.f32)) 3)) (log.f32 (+.f32 1 (-.f32 (pow.f32 (expm1.f32 (PI.f32)) 2) (expm1.f32 (PI.f32))))))
(-.f32 (log1p.f32 (pow.f32 (expm1.f32 (PI.f32)) 3)) (log1p.f32 (-.f32 (pow.f32 (expm1.f32 (PI.f32)) 2) (expm1.f32 (PI.f32)))))
(-.f32 (log.f32 (pow.f32 (E.f32) (+.f32 (PI.f32) 1))) (log.f32 (E.f32)))
(PI.f32)
(-.f32 (log.f32 (-.f32 1 (pow.f32 (expm1.f32 (PI.f32)) 2))) (log.f32 (-.f32 1 (expm1.f32 (PI.f32)))))
(-.f32 (log1p.f32 (neg.f32 (pow.f32 (expm1.f32 (PI.f32)) 2))) (log1p.f32 (neg.f32 (expm1.f32 (PI.f32)))))
(*.f32 (PI.f32) 1)
(PI.f32)
(*.f32 (PI.f32) (log.f32 (E.f32)))
(PI.f32)
(*.f32 1 (PI.f32))
(PI.f32)
(*.f32 (cbrt.f32 (PI.f32)) (pow.f32 (cbrt.f32 (PI.f32)) 2))
(PI.f32)
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (cbrt.f32 (PI.f32)))
(PI.f32)
(*.f32 (sqrt.f32 (PI.f32)) (sqrt.f32 (PI.f32)))
(PI.f32)
(*.f32 2 (*.f32 1/2 (PI.f32)))
(PI.f32)
(*.f32 1/3 (*.f32 3 (PI.f32)))
(PI.f32)
(*.f32 3 (*.f32 1/3 (PI.f32)))
(PI.f32)
(*.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) 2) (*.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) (pow.f32 (cbrt.f32 (PI.f32)) 2)))
(PI.f32)
(*.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) (log.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2)) (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) 2))))
(PI.f32)
(*.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) 4)) (*.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) 2) (cbrt.f32 (PI.f32))))
(*.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) 4)) (*.f32 (cbrt.f32 (PI.f32)) (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) 2)))
(*.f32 (cbrt.f32 (PI.f32)) (*.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) 2) (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) 4))))
(*.f32 (pow.f32 (PI.f32) 1/6) (*.f32 (pow.f32 (PI.f32) 1/6) (pow.f32 (cbrt.f32 (PI.f32)) 2)))
(PI.f32)
(*.f32 (pow.f32 (PI.f32) 1/6) (log.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2)) (pow.f32 (PI.f32) 1/6))))
(PI.f32)
(*.f32 (pow.f32 (PI.f32) 1/6) (log.f32 (pow.f32 (exp.f32 (sqrt.f32 (PI.f32))) (cbrt.f32 (PI.f32)))))
(*.f32 (pow.f32 (PI.f32) 1/6) (*.f32 (cbrt.f32 (PI.f32)) (log.f32 (exp.f32 (sqrt.f32 (PI.f32))))))
(*.f32 (cbrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (pow.f32 (PI.f32) 1/6)))
(*.f32 (pow.f32 (PI.f32) 1/4) (sqrt.f32 (pow.f32 (PI.f32) 3/2)))
(*.f32 (pow.f32 (PI.f32) 1/4) (fabs.f32 (pow.f32 (PI.f32) 3/4)))
(*.f32 (pow.f32 (PI.f32) 1/4) (pow.f32 (PI.f32) 3/4))
(*.f32 (pow.f32 (PI.f32) 1/4) (*.f32 (pow.f32 (PI.f32) 1/4) (sqrt.f32 (PI.f32))))
(PI.f32)
(*.f32 (pow.f32 (PI.f32) 1/4) (log.f32 (pow.f32 (exp.f32 (sqrt.f32 (PI.f32))) (pow.f32 (PI.f32) 1/4))))
(PI.f32)
(*.f32 (log.f32 (E.f32)) (PI.f32))
(PI.f32)
(*.f32 (pow.f32 1 1/3) (PI.f32))
(PI.f32)
(*.f32 (pow.f32 (pow.f32 (pow.f32 (cbrt.f32 (PI.f32)) 4) 2) 1/3) (cbrt.f32 (cbrt.f32 (PI.f32))))
(*.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) (cbrt.f32 (pow.f32 (pow.f32 (cbrt.f32 (PI.f32)) 4) 2)))
(*.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) 8)))
(*.f32 (pow.f32 (pow.f32 (PI.f32) 5/2) 1/3) (pow.f32 (PI.f32) 1/6))
(*.f32 (pow.f32 (PI.f32) 1/6) (cbrt.f32 (pow.f32 (PI.f32) 5/2)))
(*.f32 (*.f32 (sqrt.f32 (PI.f32)) (cbrt.f32 (PI.f32))) (pow.f32 (PI.f32) 1/6))
(*.f32 (pow.f32 (PI.f32) 1/6) (*.f32 (cbrt.f32 (PI.f32)) (log.f32 (exp.f32 (sqrt.f32 (PI.f32))))))
(*.f32 (cbrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (pow.f32 (PI.f32) 1/6)))
(*.f32 (cbrt.f32 (pow.f32 (pow.f32 (cbrt.f32 (PI.f32)) 4) 2)) (cbrt.f32 (cbrt.f32 (PI.f32))))
(*.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) (cbrt.f32 (pow.f32 (pow.f32 (cbrt.f32 (PI.f32)) 4) 2)))
(*.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) 8)))
(*.f32 (cbrt.f32 (pow.f32 (PI.f32) 5/2)) (pow.f32 (PI.f32) 1/6))
(*.f32 (pow.f32 (PI.f32) 1/6) (cbrt.f32 (pow.f32 (PI.f32) 5/2)))
(*.f32 (*.f32 (sqrt.f32 (PI.f32)) (pow.f32 (PI.f32) 1/4)) (pow.f32 (PI.f32) 1/4))
(PI.f32)
(*.f32 (sqrt.f32 (pow.f32 (PI.f32) 3/2)) (pow.f32 (PI.f32) 1/4))
(*.f32 (pow.f32 (PI.f32) 1/4) (sqrt.f32 (pow.f32 (PI.f32) 3/2)))
(*.f32 (pow.f32 (PI.f32) 1/4) (fabs.f32 (pow.f32 (PI.f32) 3/4)))
(*.f32 (pow.f32 (PI.f32) 1/4) (pow.f32 (PI.f32) 3/4))
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) 5)) (pow.f32 (PI.f32) 1/6))
(*.f32 (pow.f32 (PI.f32) 1/6) (sqrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) 5)))
(*.f32 (pow.f32 (PI.f32) 1/6) (pow.f32 (cbrt.f32 (PI.f32)) 5/2))
(*.f32 (*.f32 (cbrt.f32 (PI.f32)) (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) 4))) (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) 2))
(*.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) 4)) (*.f32 (cbrt.f32 (PI.f32)) (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) 2)))
(*.f32 (cbrt.f32 (PI.f32)) (*.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) 2) (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) 4))))
(*.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) 2)) (cbrt.f32 (cbrt.f32 (PI.f32))))
(PI.f32)
(*.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (pow.f32 (PI.f32) 1/6)) (pow.f32 (PI.f32) 1/6))
(PI.f32)
(/.f32 (-.f32 (pow.f32 (+.f32 (PI.f32) 1) 3) 1) (fma.f32 (+.f32 (PI.f32) 1) (+.f32 (PI.f32) 1) (+.f32 1 (+.f32 (PI.f32) 1))))
(/.f32 (+.f32 (pow.f32 (+.f32 (PI.f32) 1) 3) -1) (fma.f32 (+.f32 (PI.f32) 1) (+.f32 (PI.f32) 1) (+.f32 (PI.f32) 2)))
(/.f32 (+.f32 -1 (pow.f32 (+.f32 (PI.f32) 1) 3)) (fma.f32 (+.f32 (PI.f32) 1) (+.f32 (PI.f32) 1) (+.f32 (PI.f32) 2)))
(/.f32 (+.f32 -1 (pow.f32 (+.f32 (PI.f32) 1) 3)) (+.f32 1 (*.f32 (+.f32 (PI.f32) 1) (+.f32 (PI.f32) 2))))
(/.f32 (fma.f32 (+.f32 (PI.f32) 1) (+.f32 (PI.f32) 1) -1) (+.f32 (+.f32 (PI.f32) 1) 1))
(/.f32 (fma.f32 (+.f32 (PI.f32) 1) (+.f32 (PI.f32) 1) -1) (+.f32 (PI.f32) 2))
(/.f32 (*.f32 (+.f32 (PI.f32) 2) (PI.f32)) (+.f32 (PI.f32) 2))
(*.f32 (+.f32 (PI.f32) 2) (/.f32 (PI.f32) (+.f32 (PI.f32) 2)))
(pow.f32 (PI.f32) 1)
(PI.f32)
(pow.f32 (cbrt.f32 (PI.f32)) 3)
(PI.f32)
(pow.f32 (pow.f32 (PI.f32) 2) 1/2)
(PI.f32)
(pow.f32 (pow.f32 (PI.f32) 3) 1/3)
(PI.f32)
(pow.f32 (sqrt.f32 (PI.f32)) 2)
(PI.f32)
(pow.f32 (E.f32) (log.f32 (PI.f32)))
(PI.f32)
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (PI.f32))) 2)) (cbrt.f32 (log.f32 (PI.f32))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (PI.f32)))) (sqrt.f32 (log.f32 (PI.f32))))
(sqrt.f32 (pow.f32 (PI.f32) 2))
(PI.f32)
(fabs.f32 (PI.f32))
(PI.f32)
(log.f32 (exp.f32 (PI.f32)))
(PI.f32)
(cbrt.f32 (pow.f32 (PI.f32) 3))
(PI.f32)
(expm1.f32 (log1p.f32 (PI.f32)))
(PI.f32)
(log1p.f32 (expm1.f32 (PI.f32)))
(PI.f32)
(exp.f32 (log.f32 (PI.f32)))
(PI.f32)
(fma.f32 1 (+.f32 (PI.f32) 1) -1)
(PI.f32)
(fma.f32 (+.f32 (PI.f32) 1) 1 -1)
(PI.f32)
(fma.f32 (*.f32 (cbrt.f32 (+.f32 (PI.f32) 1)) (cbrt.f32 (+.f32 (PI.f32) 1))) (cbrt.f32 (+.f32 (PI.f32) 1)) -1)
(PI.f32)
(fma.f32 (sqrt.f32 (+.f32 (PI.f32) 1)) (sqrt.f32 (+.f32 (PI.f32) 1)) -1)
(PI.f32)

eval1.1s (1.1%)

Compiler

Compiled 57926 to 38925 computations (32.8% saved)

prune677.0ms (0.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New7470747
Fresh000
Picked022
Done000
Total7472749
Accuracy
99.5%
Counts
749 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (*.f32 (/.f32 1 (+.f32 (/.f32 (/.f32 1 (+.f32 1 (pow.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) 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)))))
98.2%
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (*.f32 (/.f32 1 (+.f32 (/.f32 (/.f32 1 (+.f32 1 (pow.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 1/2 (PI.f32))) 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)))))
Compiler

Compiled 453 to 317 computations (30% saved)

regimes62.0ms (0.1%)

Counts
4 → 1
Calls
Call 1
Inputs
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (*.f32 (/.f32 1 (+.f32 (/.f32 (/.f32 1 (+.f32 1 (pow.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 1/2 (PI.f32))) 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)))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (*.f32 (/.f32 1 (+.f32 (/.f32 (/.f32 1 (+.f32 1 (pow.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) 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)))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (*.f32 (/.f32 1 (+.f32 (/.f32 (/.f32 1 (+.f32 1 (pow.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) 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)))))
(/.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)))))
Outputs
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (*.f32 (/.f32 1 (+.f32 (/.f32 (/.f32 1 (+.f32 1 (pow.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) 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)))))
Calls

13 calls:

7.0ms
(/.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))))
6.0ms
(+.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)))
6.0ms
(/.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))
5.0ms
(/.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)))))
5.0ms
(+.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)))
Results
AccuracySegmentsBranch
99.5%1u0
99.5%1u1
99.5%1alphax
99.5%1alphay
99.5%1(/.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)))))
99.5%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))))
99.5%1(+.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)))
99.5%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))
99.5%1(/.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))))
99.5%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)))
99.5%1(tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32))))
99.5%1(+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32)))
99.5%1(*.f32 (*.f32 2 (PI.f32)) u1)
Compiler

Compiled 574 to 401 computations (30.1% saved)

regimes19.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (*.f32 (/.f32 1 (+.f32 (/.f32 (/.f32 1 (+.f32 1 (pow.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 1/2 (PI.f32))) 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)))))
Outputs
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (*.f32 (/.f32 1 (+.f32 (/.f32 (/.f32 1 (+.f32 1 (pow.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 1/2 (PI.f32))) 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)))))
Calls

7 calls:

3.0ms
alphay
3.0ms
(*.f32 (*.f32 2 (PI.f32)) u1)
3.0ms
u1
3.0ms
u0
3.0ms
alphax
Results
AccuracySegmentsBranch
98.2%1u0
98.2%1u1
98.2%1alphax
98.2%1alphay
98.2%1(tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32))))
98.2%1(+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32)))
98.2%1(*.f32 (*.f32 2 (PI.f32)) u1)
Compiler

Compiled 56 to 47 computations (16.1% saved)

simplify11.0ms (0%)

Algorithm
egg-herbie
Rules
13×*-commutative
10×+-commutative
1-exp
sub-neg
neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066537
193537
297537
399537
4100537
Stop Event
done
saturated
Calls
Call 1
Inputs
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (*.f32 (/.f32 1 (+.f32 (/.f32 (/.f32 1 (+.f32 1 (pow.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) 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)))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (*.f32 (/.f32 1 (+.f32 (/.f32 (/.f32 1 (+.f32 1 (pow.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 1/2 (PI.f32))) 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)))))
Outputs
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (*.f32 (/.f32 1 (+.f32 (/.f32 (/.f32 1 (+.f32 1 (pow.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) 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)))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (*.f32 (/.f32 1 (+.f32 (/.f32 (/.f32 1 (+.f32 1 (pow.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) alphax)) 2))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 u1 (*.f32 (PI.f32) 2)) (*.f32 (PI.f32) 1/2)))))) (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) (/.f32 alphay alphax))))) (*.f32 alphay alphay)))) u0) (-.f32 1 u0)))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (*.f32 (/.f32 1 (+.f32 (/.f32 (/.f32 1 (+.f32 1 (pow.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 1/2 (PI.f32))) 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)))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (*.f32 u0 (/.f32 1 (+.f32 (/.f32 (/.f32 1 (+.f32 1 (pow.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) 1/2)) alphax)) 2))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 u1 (*.f32 (PI.f32) 2)) (*.f32 (PI.f32) 1/2)))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 u1 (*.f32 (PI.f32) 2)) (*.f32 (PI.f32) 1/2))))))) (*.f32 alphay alphay))))) (-.f32 1 u0)))))
Compiler

Compiled 148 to 110 computations (25.7% saved)

soundness884.0ms (0.9%)

Rules
1082×log1p-expm1-u
1082×log1p-expm1-u
967×expm1-log1p-u
967×expm1-log1p-u
639×fma-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023204
1327204
24635204
035017741
187616512
2307915101
023204
1327204
24635204
035017741
187616512
2307915101
Stop Event
node limit
node limit
node limit
node limit
Compiler

Compiled 2570 to 1717 computations (33.2% saved)

end0.0ms (0%)

preprocess142.0ms (0.1%)

Compiler

Compiled 472 to 332 computations (29.7% saved)

Profiling

Loading profile data...