Trowbridge-Reitz Sample, sample surface normal, cosTheta

Time bar (total: 2.3min)

analyze1.6s (1.1%)

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 (6%)

Results
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Bogosity

preprocess4.5s (3.3%)

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
1901(0.1225358247756958 0.0005784471286460757 0.013601577840745449 0.1405893713235855)13(0.5605916976928711 0.0025263698771595955 0.25336888432502747 0.055497780442237854)(tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32))))
1852(0.11355051398277283 0.0009708754369057715 0.29635876417160034 0.3160253167152405)8(0.011892283335328102 1.3820789718010928e-5 0.02091323956847191 0.00015846335736569017)(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 (/.f32 1 (+.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay u1) (tan.f32 (fma.f32 (*.f32 2 (PI.f32)) alphax (*.f32 (PI.f32) 1/2)))))) (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay u1) (tan.f32 (fma.f32 (*.f32 2 (PI.f32)) alphax (*.f32 (PI.f32) 1/2)))))) (*.f32 u1 u1))) (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay u1) (tan.f32 (fma.f32 (*.f32 2 (PI.f32)) alphax (*.f32 (PI.f32) 1/2)))))) (/.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay u1) (tan.f32 (fma.f32 (*.f32 2 (PI.f32)) alphax (*.f32 (PI.f32) 1/2)))))) (*.f32 alphay alphay))))) (/.f32 u0 (-.f32 1 u0))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (*.f32 (-.f32 1 u0) (fma.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (fma.f32 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)

eval6.0ms (0%)

Compiler

Compiled 319 to 212 computations (33.5% saved)

prune4.0ms (0%)

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

Compiled 173 to 124 computations (28.3% saved)

localize3.6s (2.6%)

Localize:

Found 8 expressions with local error:

NewAccuracyProgram
98.8%
(/.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 (*.f32 2 u1) 1/2))) alphax)))) (*.f32 alphax alphax))
98.7%
(*.f32 (PI.f32) (+.f32 (*.f32 2 u1) 1/2))
63.6%
(tan.f32 (*.f32 (PI.f32) (+.f32 (*.f32 2 u1) 1/2)))
61.2%
(cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 (*.f32 2 u1) 1/2))) alphax))))
98.9%
(*.f32 (*.f32 2 (PI.f32)) u1)
98.7%
(*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32))))))))
63.6%
(tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32))))
61.2%
(cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32)))))))
Compiler

Compiled 1433 to 914 computations (36.2% saved)

series70.0ms (0.1%)

Counts
8 → 192
Calls

48 calls:

TimeVariablePointExpression
5.0ms
u1
@-inf
(/.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 (*.f32 2 u1) 1/2))) alphax)))) (*.f32 alphax alphax))
3.0ms
u1
@0
(tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32))))
3.0ms
u1
@-inf
(*.f32 (PI.f32) (+.f32 (*.f32 2 u1) 1/2))
3.0ms
u1
@0
(*.f32 (*.f32 2 (PI.f32)) u1)
2.0ms
u1
@inf
(cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32)))))))

rewrite216.0ms (0.2%)

Algorithm
batch-egg-rewrite
Rules
266×log1p-expm1-u
266×expm1-log1p-u
262×add-exp-log
262×add-log-exp
262×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
033347
1562305
Stop Event
node limit
Counts
8 → 225
Calls
Call 1
Inputs
(cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32)))))))
(tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32))))
(*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32))))))))
(*.f32 (*.f32 2 (PI.f32)) u1)
(cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 (*.f32 2 u1) 1/2))) alphax))))
(tan.f32 (*.f32 (PI.f32) (+.f32 (*.f32 2 u1) 1/2)))
(*.f32 (PI.f32) (+.f32 (*.f32 2 u1) 1/2))
(/.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 (*.f32 2 u1) 1/2))) alphax)))) (*.f32 alphax alphax))
Outputs
(-.f32 (exp.f32 (log1p.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))))) 1)
(*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) 1)
(*.f32 1 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))))
(*.f32 (cbrt.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) (pow.f32 (cbrt.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) 2))
(*.f32 (pow.f32 (cbrt.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) 2) (cbrt.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))))))
(*.f32 (sqrt.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) (sqrt.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))))))
(*.f32 (sqrt.f32 (cbrt.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) 4))) (sqrt.f32 (pow.f32 (cbrt.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) 2)))
(/.f32 1 (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))))
(/.f32 1 (/.f32 (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))) 1))
(/.f32 -1 (neg.f32 (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))))
(/.f32 (sqrt.f32 (+.f32 (cos.f32 (*.f32 2 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) (cos.f32 0))) (sqrt.f32 2))
(pow.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) 2) 1/2)
(pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) 1)
(pow.f32 (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))) -1)
(pow.f32 (cbrt.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) 3)
(pow.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) 3) 1/3)
(pow.f32 (sqrt.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) 2)
(sqrt.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) 2))
(fabs.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))))
(log.f32 (exp.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))))))
(log.f32 (+.f32 1 (expm1.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))))))
(cbrt.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) 3))
(expm1.f32 (log1p.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))))))
(log1p.f32 (expm1.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))))))
(exp.f32 (log.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))))))
(exp.f32 (*.f32 (log.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) 1))
(-.f32 (exp.f32 (log1p.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))) 1)
(*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) 1)
(*.f32 1 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))
(*.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 1 (cos.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))
(*.f32 (+.f32 (tan.f32 (*.f32 (PI.f32) (*.f32 2 u1))) (tan.f32 (*.f32 (PI.f32) 1/2))) (/.f32 1 (-.f32 1 (*.f32 (tan.f32 (*.f32 (PI.f32) (*.f32 2 u1))) (tan.f32 (*.f32 (PI.f32) 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 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 1 (/.f32 (-.f32 1 (*.f32 (tan.f32 (*.f32 (PI.f32) (*.f32 2 u1))) (tan.f32 (*.f32 (PI.f32) 1/2)))) (+.f32 (tan.f32 (*.f32 (PI.f32) (*.f32 2 u1))) (tan.f32 (*.f32 (PI.f32) 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 (+.f32 (tan.f32 (*.f32 (PI.f32) (*.f32 2 u1))) (tan.f32 (*.f32 (PI.f32) 1/2))) (-.f32 1 (*.f32 (tan.f32 (*.f32 (PI.f32) (*.f32 2 u1))) (tan.f32 (*.f32 (PI.f32) 1/2)))))
(/.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))) (neg.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))
(/.f32 (neg.f32 (+.f32 (tan.f32 (*.f32 (PI.f32) (*.f32 2 u1))) (tan.f32 (*.f32 (PI.f32) 1/2)))) (neg.f32 (-.f32 1 (*.f32 (tan.f32 (*.f32 (PI.f32) (*.f32 2 u1))) (tan.f32 (*.f32 (PI.f32) 1/2))))))
(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 1/2 (*.f32 1/2 (cos.f32 (*.f32 2 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))))))
(+.f32 1/2 (*.f32 (*.f32 1/2 (cos.f32 (*.f32 2 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))))) 1))
(+.f32 (*.f32 1/2 (cos.f32 (*.f32 2 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))))) 1/2)
(-.f32 (exp.f32 (log1p.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) 2))) 1)
(/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))))
(/.f32 1 (+.f32 1 (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))) 2)))
(/.f32 1 (/.f32 2 (+.f32 (cos.f32 (*.f32 2 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) (cos.f32 0))))
(/.f32 (+.f32 (cos.f32 (*.f32 2 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) (cos.f32 0)) 2)
(/.f32 (neg.f32 (+.f32 (cos.f32 (*.f32 2 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 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 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))))) 3)) (+.f32 1/4 (-.f32 (*.f32 (*.f32 1/2 (cos.f32 (*.f32 2 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))))) (*.f32 1/2 (cos.f32 (*.f32 2 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))))))) (*.f32 1/2 (*.f32 1/2 (cos.f32 (*.f32 2 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))))))))))
(/.f32 (-.f32 1/4 (*.f32 (*.f32 1/2 (cos.f32 (*.f32 2 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))))) (*.f32 1/2 (cos.f32 (*.f32 2 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))))))) (-.f32 1/2 (*.f32 1/2 (cos.f32 (*.f32 2 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))))))))
(pow.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) 2) 1)
(pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) 2)
(pow.f32 (pow.f32 (cbrt.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) 2) 3)
(pow.f32 (pow.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) 2) 3) 1/3)
(sqrt.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) 4))
(log.f32 (exp.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) 2)))
(log.f32 (+.f32 1 (expm1.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) 2))))
(cbrt.f32 (pow.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) 2) 3))
(expm1.f32 (log1p.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) 2)))
(log1p.f32 (expm1.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) 2)))
(exp.f32 (*.f32 2 (log.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))))))
(exp.f32 (*.f32 (log.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) 2))
(exp.f32 (*.f32 (*.f32 2 (log.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))))) 1))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 2 u1)))) 1)
(pow.f32 (*.f32 (PI.f32) (*.f32 2 u1)) 1)
(pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 2 u1))) 3)
(pow.f32 (*.f32 8 (pow.f32 (*.f32 (PI.f32) u1) 3)) 1/3)
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(*.f32 (sqrt.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) (*.f32 (sqrt.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) (pow.f32 alphax -2)))
(*.f32 (/.f32 (sqrt.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) alphax) (/.f32 (sqrt.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) alphax))
(*.f32 (/.f32 -1 (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) (/.f32 1 (neg.f32 (pow.f32 alphax 2))))
(*.f32 (pow.f32 alphax -2) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))))
(*.f32 (/.f32 1 alphax) (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax))
(*.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax) (/.f32 1 alphax))
(*.f32 (/.f32 1 (cbrt.f32 (pow.f32 alphax 4))) (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) (pow.f32 (cbrt.f32 alphax) 2)))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) 2) alphax) (/.f32 (cbrt.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) alphax))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) 2) 1) (/.f32 (cbrt.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) (pow.f32 alphax 2)))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) 2) (cbrt.f32 (pow.f32 alphax 4))) (cbrt.f32 (/.f32 (pow.f32 alphax -2) (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))))))
(*.f32 (/.f32 (sqrt.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) 1) (/.f32 (sqrt.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) (pow.f32 alphax 2)))
(*.f32 (/.f32 (sqrt.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) (cbrt.f32 (pow.f32 alphax 4))) (/.f32 (sqrt.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) (pow.f32 (cbrt.f32 alphax) 2)))
(pow.f32 (/.f32 (pow.f32 alphax -2) (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) 1)
(pow.f32 (cbrt.f32 (/.f32 (pow.f32 alphax -2) (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) 3)
(pow.f32 (pow.f32 (/.f32 (pow.f32 alphax -2) (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) 3) 1/3)
(pow.f32 (/.f32 (sqrt.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) alphax) 2)
(pow.f32 (/.f32 (pow.f32 alphax 2) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) -1)
(neg.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) (neg.f32 (pow.f32 alphax 2))))
(neg.f32 (/.f32 (/.f32 -1 (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) (pow.f32 alphax 2)))
(sqrt.f32 (pow.f32 (/.f32 (pow.f32 alphax -2) (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) 2))
(log.f32 (exp.f32 (/.f32 (pow.f32 alphax -2) (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))))))
(log.f32 (+.f32 1 (expm1.f32 (/.f32 (pow.f32 alphax -2) (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))))))
(cbrt.f32 (pow.f32 (/.f32 (pow.f32 alphax -2) (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) 3))
(cbrt.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) 3) (pow.f32 (pow.f32 alphax 2) 3)))
(expm1.f32 (log1p.f32 (/.f32 (pow.f32 alphax -2) (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))))))
(log1p.f32 (expm1.f32 (/.f32 (pow.f32 alphax -2) (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))))))
(exp.f32 (log.f32 (/.f32 (pow.f32 alphax -2) (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))))))
(exp.f32 (*.f32 (log.f32 (/.f32 (pow.f32 alphax -2) (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) 1))

simplify253.0ms (0.2%)

Algorithm
egg-herbie
Rules
766×fma-define
401×cancel-sign-sub-inv
362×distribute-lft-neg-in
342×distribute-rgt-neg-in
284×fma-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
047422568
1111322288
2376622212
Stop Event
node limit
Counts
417 → 254
Calls
Call 1
Inputs
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax)))
(/.f32 (sin.f32 (*.f32 1/2 (PI.f32))) (cos.f32 (*.f32 1/2 (PI.f32))))
(+.f32 (*.f32 u1 (-.f32 (*.f32 2 (PI.f32)) (*.f32 -2 (/.f32 (*.f32 (PI.f32) (pow.f32 (sin.f32 (*.f32 1/2 (PI.f32))) 2)) (pow.f32 (cos.f32 (*.f32 1/2 (PI.f32))) 2))))) (/.f32 (sin.f32 (*.f32 1/2 (PI.f32))) (cos.f32 (*.f32 1/2 (PI.f32)))))
(+.f32 (*.f32 2 (/.f32 (*.f32 (pow.f32 u1 2) (*.f32 (PI.f32) (*.f32 (sin.f32 (*.f32 1/2 (PI.f32))) (-.f32 (*.f32 2 (PI.f32)) (*.f32 -2 (/.f32 (*.f32 (PI.f32) (pow.f32 (sin.f32 (*.f32 1/2 (PI.f32))) 2)) (pow.f32 (cos.f32 (*.f32 1/2 (PI.f32))) 2))))))) (cos.f32 (*.f32 1/2 (PI.f32))))) (+.f32 (*.f32 u1 (-.f32 (*.f32 2 (PI.f32)) (*.f32 -2 (/.f32 (*.f32 (PI.f32) (pow.f32 (sin.f32 (*.f32 1/2 (PI.f32))) 2)) (pow.f32 (cos.f32 (*.f32 1/2 (PI.f32))) 2))))) (/.f32 (sin.f32 (*.f32 1/2 (PI.f32))) (cos.f32 (*.f32 1/2 (PI.f32))))))
(+.f32 (*.f32 2 (/.f32 (*.f32 (pow.f32 u1 2) (*.f32 (PI.f32) (*.f32 (sin.f32 (*.f32 1/2 (PI.f32))) (-.f32 (*.f32 2 (PI.f32)) (*.f32 -2 (/.f32 (*.f32 (PI.f32) (pow.f32 (sin.f32 (*.f32 1/2 (PI.f32))) 2)) (pow.f32 (cos.f32 (*.f32 1/2 (PI.f32))) 2))))))) (cos.f32 (*.f32 1/2 (PI.f32))))) (+.f32 (*.f32 u1 (-.f32 (*.f32 2 (PI.f32)) (*.f32 -2 (/.f32 (*.f32 (PI.f32) (pow.f32 (sin.f32 (*.f32 1/2 (PI.f32))) 2)) (pow.f32 (cos.f32 (*.f32 1/2 (PI.f32))) 2))))) (+.f32 (*.f32 (pow.f32 u1 3) (-.f32 (*.f32 -4/3 (pow.f32 (PI.f32) 3)) (+.f32 (*.f32 -4 (/.f32 (*.f32 (pow.f32 (PI.f32) 2) (*.f32 (pow.f32 (sin.f32 (*.f32 1/2 (PI.f32))) 2) (-.f32 (*.f32 2 (PI.f32)) (*.f32 -2 (/.f32 (*.f32 (PI.f32) (pow.f32 (sin.f32 (*.f32 1/2 (PI.f32))) 2)) (pow.f32 (cos.f32 (*.f32 1/2 (PI.f32))) 2)))))) (pow.f32 (cos.f32 (*.f32 1/2 (PI.f32))) 2))) (+.f32 (*.f32 -2 (*.f32 (pow.f32 (PI.f32) 2) (-.f32 (*.f32 2 (PI.f32)) (*.f32 -2 (/.f32 (*.f32 (PI.f32) (pow.f32 (sin.f32 (*.f32 1/2 (PI.f32))) 2)) (pow.f32 (cos.f32 (*.f32 1/2 (PI.f32))) 2)))))) (*.f32 4/3 (/.f32 (*.f32 (pow.f32 (PI.f32) 3) (pow.f32 (sin.f32 (*.f32 1/2 (PI.f32))) 2)) (pow.f32 (cos.f32 (*.f32 1/2 (PI.f32))) 2))))))) (/.f32 (sin.f32 (*.f32 1/2 (PI.f32))) (cos.f32 (*.f32 1/2 (PI.f32)))))))
(/.f32 (sin.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32))))) (cos.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32))))))
(/.f32 (sin.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32))))) (cos.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32))))))
(/.f32 (sin.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32))))) (cos.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32))))))
(/.f32 (sin.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32))))) (cos.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32))))))
(/.f32 (sin.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32))))) (cos.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32))))))
(/.f32 (sin.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32))))) (cos.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32))))))
(/.f32 (sin.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32))))) (cos.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32))))))
(/.f32 (sin.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32))))) (cos.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32))))))
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (+.f32 (*.f32 1/2 (PI.f32)) (*.f32 2 (*.f32 u1 (PI.f32)))))) alphax))) 2)
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(*.f32 (/.f32 (sqrt.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) (cbrt.f32 (pow.f32 alphax 4))) (/.f32 (sqrt.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) (pow.f32 (cbrt.f32 alphax) 2)))
(pow.f32 (/.f32 (pow.f32 alphax -2) (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) 1)
(pow.f32 (cbrt.f32 (/.f32 (pow.f32 alphax -2) (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) 3)
(pow.f32 (pow.f32 (/.f32 (pow.f32 alphax -2) (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) 3) 1/3)
(pow.f32 (/.f32 (sqrt.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) alphax) 2)
(pow.f32 (/.f32 (pow.f32 alphax 2) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) -1)
(neg.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) (neg.f32 (pow.f32 alphax 2))))
(neg.f32 (/.f32 (/.f32 -1 (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) (pow.f32 alphax 2)))
(sqrt.f32 (pow.f32 (/.f32 (pow.f32 alphax -2) (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) 2))
(log.f32 (exp.f32 (/.f32 (pow.f32 alphax -2) (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))))))
(log.f32 (+.f32 1 (expm1.f32 (/.f32 (pow.f32 alphax -2) (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))))))
(cbrt.f32 (pow.f32 (/.f32 (pow.f32 alphax -2) (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) 3))
(cbrt.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) 3) (pow.f32 (pow.f32 alphax 2) 3)))
(expm1.f32 (log1p.f32 (/.f32 (pow.f32 alphax -2) (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))))))
(log1p.f32 (expm1.f32 (/.f32 (pow.f32 alphax -2) (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))))))
(exp.f32 (log.f32 (/.f32 (pow.f32 alphax -2) (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))))))
(exp.f32 (*.f32 (log.f32 (/.f32 (pow.f32 alphax -2) (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 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 (*.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 (*.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 (*.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 (*.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 (*.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 (*.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 (*.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 (*.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 (*.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 (*.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 (*.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 (*.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 (*.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 (*.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 (*.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 (*.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 (*.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 (*.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 (*.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 (*.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 (*.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 (*.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 (*.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 (*.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 (*.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 (*.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 (*.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 (*.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 (*.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 (*.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 (*.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 (*.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 (*.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 (*.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 (*.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 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) 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)))))
(fma.f32 u1 (+.f32 (*.f32 (PI.f32) 2) (*.f32 2 (*.f32 (PI.f32) (/.f32 (pow.f32 (sin.f32 (*.f32 1/2 (PI.f32))) 2) (pow.f32 (cos.f32 (*.f32 1/2 (PI.f32))) 2))))) (/.f32 (sin.f32 (*.f32 1/2 (PI.f32))) (cos.f32 (*.f32 1/2 (PI.f32)))))
(fma.f32 u1 (*.f32 2 (+.f32 (PI.f32) (/.f32 (*.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 (PI.f32) (/.f32 (pow.f32 (sin.f32 (*.f32 1/2 (PI.f32))) 2) (pow.f32 (cos.f32 (*.f32 1/2 (PI.f32))) 2))))) (/.f32 (sin.f32 (*.f32 1/2 (PI.f32))) (cos.f32 (*.f32 1/2 (PI.f32)))))
(+.f32 (*.f32 2 (/.f32 (*.f32 (pow.f32 u1 2) (*.f32 (PI.f32) (*.f32 (sin.f32 (*.f32 1/2 (PI.f32))) (-.f32 (*.f32 2 (PI.f32)) (*.f32 -2 (/.f32 (*.f32 (PI.f32) (pow.f32 (sin.f32 (*.f32 1/2 (PI.f32))) 2)) (pow.f32 (cos.f32 (*.f32 1/2 (PI.f32))) 2))))))) (cos.f32 (*.f32 1/2 (PI.f32))))) (+.f32 (*.f32 u1 (-.f32 (*.f32 2 (PI.f32)) (*.f32 -2 (/.f32 (*.f32 (PI.f32) (pow.f32 (sin.f32 (*.f32 1/2 (PI.f32))) 2)) (pow.f32 (cos.f32 (*.f32 1/2 (PI.f32))) 2))))) (/.f32 (sin.f32 (*.f32 1/2 (PI.f32))) (cos.f32 (*.f32 1/2 (PI.f32))))))
(fma.f32 2 (*.f32 (pow.f32 u1 2) (/.f32 (*.f32 (*.f32 (PI.f32) (sin.f32 (*.f32 1/2 (PI.f32)))) (+.f32 (*.f32 (PI.f32) 2) (*.f32 2 (*.f32 (PI.f32) (/.f32 (pow.f32 (sin.f32 (*.f32 1/2 (PI.f32))) 2) (pow.f32 (cos.f32 (*.f32 1/2 (PI.f32))) 2)))))) (cos.f32 (*.f32 1/2 (PI.f32))))) (fma.f32 u1 (+.f32 (*.f32 (PI.f32) 2) (*.f32 2 (*.f32 (PI.f32) (/.f32 (pow.f32 (sin.f32 (*.f32 1/2 (PI.f32))) 2) (pow.f32 (cos.f32 (*.f32 1/2 (PI.f32))) 2))))) (/.f32 (sin.f32 (*.f32 1/2 (PI.f32))) (cos.f32 (*.f32 1/2 (PI.f32))))))
(fma.f32 2 (*.f32 (pow.f32 u1 2) (*.f32 (*.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 (PI.f32) (/.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 (PI.f32) (/.f32 (pow.f32 (sin.f32 (*.f32 1/2 (PI.f32))) 2) (pow.f32 (cos.f32 (*.f32 1/2 (PI.f32))) 2))))) (/.f32 (sin.f32 (*.f32 1/2 (PI.f32))) (cos.f32 (*.f32 1/2 (PI.f32))))))
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(/.f32 (pow.f32 alphax -2) (hypot.f32 1 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax))))
(*.f32 1 (/.f32 (pow.f32 alphax -2) (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))))
(/.f32 (pow.f32 alphax -2) (hypot.f32 1 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax))))
(*.f32 (cbrt.f32 (/.f32 (pow.f32 alphax -2) (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) (pow.f32 (cbrt.f32 (/.f32 (pow.f32 alphax -2) (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) 2))
(/.f32 (pow.f32 alphax -2) (hypot.f32 1 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax))))
(*.f32 (pow.f32 (cbrt.f32 (/.f32 (pow.f32 alphax -2) (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) 2) (cbrt.f32 (/.f32 (pow.f32 alphax -2) (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))))))
(/.f32 (pow.f32 alphax -2) (hypot.f32 1 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax))))
(*.f32 (pow.f32 (cbrt.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) 2) (/.f32 (cbrt.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) (pow.f32 alphax 2)))
(/.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax)))) (pow.f32 alphax 2))
(*.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax)))) (pow.f32 alphax -2))
(*.f32 (pow.f32 (cbrt.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) 2) (*.f32 (cbrt.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) (pow.f32 alphax -2)))
(/.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax)))) (pow.f32 alphax 2))
(*.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax)))) (pow.f32 alphax -2))
(*.f32 (sqrt.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) (/.f32 (sqrt.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) (pow.f32 alphax 2)))
(/.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax)))) (pow.f32 alphax 2))
(*.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax)))) (pow.f32 alphax -2))
(*.f32 (sqrt.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) (*.f32 (sqrt.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) (pow.f32 alphax -2)))
(/.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax)))) (pow.f32 alphax 2))
(*.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax)))) (pow.f32 alphax -2))
(*.f32 (/.f32 (sqrt.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) alphax) (/.f32 (sqrt.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (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)))) (pow.f32 alphax 2))
(*.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax)))) (pow.f32 alphax -2))
(*.f32 (/.f32 -1 (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) (/.f32 1 (neg.f32 (pow.f32 alphax 2))))
(/.f32 (*.f32 -1 (/.f32 1 (neg.f32 (pow.f32 alphax 2)))) (hypot.f32 1 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax))))
(/.f32 1 (*.f32 (pow.f32 alphax 2) (hypot.f32 1 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax)))))
(/.f32 (/.f32 1 (pow.f32 alphax 2)) (hypot.f32 1 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax))))
(*.f32 (pow.f32 alphax -2) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))))
(/.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax)))) (pow.f32 alphax 2))
(*.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax)))) (pow.f32 alphax -2))
(*.f32 (/.f32 1 alphax) (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (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)))) (pow.f32 alphax 2))
(*.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax)))) (pow.f32 alphax -2))
(*.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax) (/.f32 1 alphax))
(/.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax)))) (pow.f32 alphax 2))
(*.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax)))) (pow.f32 alphax -2))
(*.f32 (/.f32 1 (cbrt.f32 (pow.f32 alphax 4))) (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) (pow.f32 (cbrt.f32 alphax) 2)))
(*.f32 (/.f32 1 (cbrt.f32 (pow.f32 alphax 4))) (/.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax)))) (pow.f32 (cbrt.f32 alphax) 2)))
(/.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax)))) (pow.f32 (cbrt.f32 alphax) 2)) (cbrt.f32 (pow.f32 alphax 4)))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) 2) alphax) (/.f32 (cbrt.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (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)))) (pow.f32 alphax 2))
(*.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax)))) (pow.f32 alphax -2))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) 2) 1) (/.f32 (cbrt.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) (pow.f32 alphax 2)))
(/.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax)))) (pow.f32 alphax 2))
(*.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax)))) (pow.f32 alphax -2))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) 2) (cbrt.f32 (pow.f32 alphax 4))) (cbrt.f32 (/.f32 (pow.f32 alphax -2) (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))))))
(*.f32 (cbrt.f32 (/.f32 (pow.f32 alphax -2) (hypot.f32 1 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax))))) (/.f32 (pow.f32 (cbrt.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax))))) 2) (cbrt.f32 (pow.f32 alphax 4))))
(*.f32 (pow.f32 (cbrt.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax))))) 2) (/.f32 (cbrt.f32 (/.f32 (pow.f32 alphax -2) (hypot.f32 1 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax))))) (cbrt.f32 (pow.f32 alphax 4))))
(*.f32 (/.f32 (sqrt.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) 1) (/.f32 (sqrt.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) (pow.f32 alphax 2)))
(/.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax)))) (pow.f32 alphax 2))
(*.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax)))) (pow.f32 alphax -2))
(*.f32 (/.f32 (sqrt.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) (cbrt.f32 (pow.f32 alphax 4))) (/.f32 (sqrt.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) (pow.f32 (cbrt.f32 alphax) 2)))
(*.f32 (/.f32 1 (cbrt.f32 (pow.f32 alphax 4))) (/.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax)))) (pow.f32 (cbrt.f32 alphax) 2)))
(/.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax)))) (pow.f32 (cbrt.f32 alphax) 2)) (cbrt.f32 (pow.f32 alphax 4)))
(pow.f32 (/.f32 (pow.f32 alphax -2) (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) 1)
(/.f32 (pow.f32 alphax -2) (hypot.f32 1 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax))))
(pow.f32 (cbrt.f32 (/.f32 (pow.f32 alphax -2) (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) 3)
(/.f32 (pow.f32 alphax -2) (hypot.f32 1 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax))))
(pow.f32 (pow.f32 (/.f32 (pow.f32 alphax -2) (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) 3) 1/3)
(/.f32 (pow.f32 alphax -2) (hypot.f32 1 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax))))
(pow.f32 (/.f32 (sqrt.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) alphax) 2)
(/.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax)))) (pow.f32 alphax 2))
(*.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax)))) (pow.f32 alphax -2))
(pow.f32 (/.f32 (pow.f32 alphax 2) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) -1)
(/.f32 1 (/.f32 (pow.f32 alphax 2) (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax))))))
(*.f32 (/.f32 1 (pow.f32 alphax 2)) (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax)))))
(neg.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) (neg.f32 (pow.f32 alphax 2))))
(/.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax)))) (pow.f32 alphax 2))
(*.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax)))) (pow.f32 alphax -2))
(neg.f32 (/.f32 (/.f32 -1 (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) (pow.f32 alphax 2)))
(/.f32 (*.f32 -1 (/.f32 1 (neg.f32 (pow.f32 alphax 2)))) (hypot.f32 1 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax))))
(/.f32 1 (*.f32 (pow.f32 alphax 2) (hypot.f32 1 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax)))))
(/.f32 (/.f32 1 (pow.f32 alphax 2)) (hypot.f32 1 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax))))
(sqrt.f32 (pow.f32 (/.f32 (pow.f32 alphax -2) (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) 2))
(/.f32 (pow.f32 alphax -2) (hypot.f32 1 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax))))
(log.f32 (exp.f32 (/.f32 (pow.f32 alphax -2) (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))))))
(/.f32 (pow.f32 alphax -2) (hypot.f32 1 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax))))
(log.f32 (+.f32 1 (expm1.f32 (/.f32 (pow.f32 alphax -2) (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))))))
(/.f32 (pow.f32 alphax -2) (hypot.f32 1 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax))))
(cbrt.f32 (pow.f32 (/.f32 (pow.f32 alphax -2) (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) 3))
(/.f32 (pow.f32 alphax -2) (hypot.f32 1 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax))))
(cbrt.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) 3) (pow.f32 (pow.f32 alphax 2) 3)))
(cbrt.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax)))) 3) (pow.f32 (pow.f32 alphax 2) 3)))
(cbrt.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax)))) 3) (pow.f32 alphax 6)))
(expm1.f32 (log1p.f32 (/.f32 (pow.f32 alphax -2) (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))))))
(expm1.f32 (log1p.f32 (/.f32 (pow.f32 alphax -2) (hypot.f32 1 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax))))))
(log1p.f32 (expm1.f32 (/.f32 (pow.f32 alphax -2) (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))))))
(/.f32 (pow.f32 alphax -2) (hypot.f32 1 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax))))
(exp.f32 (log.f32 (/.f32 (pow.f32 alphax -2) (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))))))
(/.f32 (pow.f32 alphax -2) (hypot.f32 1 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax))))
(exp.f32 (*.f32 (log.f32 (/.f32 (pow.f32 alphax -2) (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) 1))
(/.f32 (pow.f32 alphax -2) (hypot.f32 1 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax))))

eval1.4s (1%)

Compiler

Compiled 62400 to 42419 computations (32% saved)

prune371.0ms (0.3%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New6641665
Fresh000
Picked202
Done000
Total6661667
Accuracy
99.4%
Counts
667 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.4%
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (*.f32 (/.f32 1 (+.f32 (/.f32 (/.f32 1 (+.f32 1 (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))) 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 76 to 55 computations (27.6% saved)

localize1.4s (1%)

Localize:

Found 4 expressions with local error:

NewAccuracyProgram
98.7%
(*.f32 (PI.f32) (fma.f32 2 u1 1/2))
98.4%
(pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))) 2)
63.6%
(tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32))))
63.6%
(tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))
Compiler

Compiled 725 to 458 computations (36.8% saved)

series29.0ms (0%)

Counts
3 → 60
Calls

15 calls:

TimeVariablePointExpression
4.0ms
u1
@0
(pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))) 2)
4.0ms
alphay
@0
(pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))) 2)
3.0ms
u1
@-inf
(pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))) 2)
3.0ms
alphax
@0
(pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))) 2)
2.0ms
alphay
@inf
(pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))) 2)

rewrite121.0ms (0.1%)

Algorithm
batch-egg-rewrite
Rules
1010×log1p-expm1-u
1010×expm1-log1p-u
570×log-prod
190×expm1-undefine
190×log1p-undefine
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02092
122392
2277492
Stop Event
node limit
Counts
3 → 79
Calls
Call 1
Inputs
(tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))
(pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))) 2)
(*.f32 (PI.f32) (fma.f32 2 u1 1/2))
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 (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 2 u1) (PI.f32))) (tan.f32 (*.f32 1/2 (PI.f32)))) (-.f32 1 (*.f32 (tan.f32 (*.f32 (*.f32 2 u1) (PI.f32))) (tan.f32 (*.f32 1/2 (PI.f32))))))
(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 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2))
(+.f32 (log.f32 (*.f32 (cbrt.f32 (exp.f32 (pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2))) (cbrt.f32 (exp.f32 (pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2))))) (log.f32 (cbrt.f32 (exp.f32 (pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2)))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2)))) (log.f32 (sqrt.f32 (exp.f32 (pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2)))))
(-.f32 (exp.f32 (log1p.f32 (pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2))) 1)
(*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (*.f32 (/.f32 alphay alphax) (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax))))
(*.f32 (/.f32 alphay alphax) (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax))))
(*.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)))
(*.f32 (pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2) 1)
(*.f32 (pow.f32 (/.f32 alphay alphax) 2) (pow.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) 2))
(*.f32 (pow.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) 2) (pow.f32 (/.f32 alphay alphax) 2))
(*.f32 1 (pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2))
(*.f32 (pow.f32 (cbrt.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax))) 2) (cbrt.f32 (pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 4)))
(*.f32 (pow.f32 (cbrt.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax))) 2) (*.f32 (cbrt.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax))) (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax))))
(*.f32 (cbrt.f32 (pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 4)) (pow.f32 (cbrt.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax))) 2))
(*.f32 (sqrt.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax))) (*.f32 (sqrt.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax))) (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax))))
(*.f32 (*.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) (sqrt.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)))) (sqrt.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax))))
(*.f32 (*.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))) (/.f32 alphay alphax))
(*.f32 (*.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) (/.f32 alphay alphax)) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))
(*.f32 (*.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) (pow.f32 (cbrt.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax))) 2)) (cbrt.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax))))
(/.f32 (*.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 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphay)) alphax)
(/.f32 (*.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphay) (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax))) alphax)
(sqrt.f32 (pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 4))
(log.f32 (exp.f32 (pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2)))
(log.f32 (+.f32 1 (expm1.f32 (pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2))))
(cbrt.f32 (pow.f32 (pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2) 3))
(expm1.f32 (log1p.f32 (pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2)))
(log1p.f32 (expm1.f32 (pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2)))
(exp.f32 (*.f32 2 (log.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)))))
(exp.f32 (*.f32 (*.f32 2 (log.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)))) 1))
(+.f32 0 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))
(+.f32 (*.f32 (PI.f32) (*.f32 2 u1)) (*.f32 (PI.f32) 1/2))
(+.f32 (*.f32 (*.f32 2 u1) (PI.f32)) (*.f32 1/2 (PI.f32)))
(+.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)
(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)))))
(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) (*.f32 2 u1) (*.f32 (PI.f32) 1/2))
(fma.f32 (*.f32 2 u1) (PI.f32) (*.f32 1/2 (PI.f32)))

simplify131.0ms (0.1%)

Algorithm
egg-herbie
Rules
618×distribute-lft-in
540×associate-*r/
537×distribute-rgt-in
271×associate-*r*
267×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03009793
17579308
230209037
Stop Event
node limit
Counts
139 → 142
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)))))
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(exp.f32 (*.f32 (log.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))) 1))
(+.f32 0 (pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2))
(+.f32 (log.f32 (*.f32 (cbrt.f32 (exp.f32 (pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2))) (cbrt.f32 (exp.f32 (pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2))))) (log.f32 (cbrt.f32 (exp.f32 (pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2)))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2)))) (log.f32 (sqrt.f32 (exp.f32 (pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2)))))
(-.f32 (exp.f32 (log1p.f32 (pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2))) 1)
(*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (*.f32 (/.f32 alphay alphax) (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax))))
(*.f32 (/.f32 alphay alphax) (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax))))
(*.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)))
(*.f32 (pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2) 1)
(*.f32 (pow.f32 (/.f32 alphay alphax) 2) (pow.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) 2))
(*.f32 (pow.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) 2) (pow.f32 (/.f32 alphay alphax) 2))
(*.f32 1 (pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2))
(*.f32 (pow.f32 (cbrt.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax))) 2) (cbrt.f32 (pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 4)))
(*.f32 (pow.f32 (cbrt.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax))) 2) (*.f32 (cbrt.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax))) (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax))))
(*.f32 (cbrt.f32 (pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 4)) (pow.f32 (cbrt.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax))) 2))
(*.f32 (sqrt.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax))) (*.f32 (sqrt.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax))) (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax))))
(*.f32 (*.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) (sqrt.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)))) (sqrt.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax))))
(*.f32 (*.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))) (/.f32 alphay alphax))
(*.f32 (*.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) (/.f32 alphay alphax)) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))
(*.f32 (*.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) (pow.f32 (cbrt.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax))) 2)) (cbrt.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax))))
(/.f32 (*.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 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphay)) alphax)
(/.f32 (*.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphay) (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax))) alphax)
(sqrt.f32 (pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 4))
(log.f32 (exp.f32 (pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2)))
(log.f32 (+.f32 1 (expm1.f32 (pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2))))
(cbrt.f32 (pow.f32 (pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2) 3))
(expm1.f32 (log1p.f32 (pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2)))
(log1p.f32 (expm1.f32 (pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2)))
(exp.f32 (*.f32 2 (log.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)))))
(exp.f32 (*.f32 (*.f32 2 (log.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)))) 1))
(+.f32 0 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))
(+.f32 (*.f32 (PI.f32) (*.f32 2 u1)) (*.f32 (PI.f32) 1/2))
(+.f32 (*.f32 (*.f32 2 u1) (PI.f32)) (*.f32 1/2 (PI.f32)))
(+.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)
(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)))))
(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) (*.f32 2 u1) (*.f32 (PI.f32) 1/2))
(fma.f32 (*.f32 2 u1) (PI.f32) (*.f32 1/2 (PI.f32)))
Outputs
(/.f32 (sin.f32 (*.f32 1/2 (PI.f32))) (cos.f32 (*.f32 1/2 (PI.f32))))
(+.f32 (*.f32 u1 (-.f32 (*.f32 2 (PI.f32)) (*.f32 -2 (/.f32 (*.f32 (PI.f32) (pow.f32 (sin.f32 (*.f32 1/2 (PI.f32))) 2)) (pow.f32 (cos.f32 (*.f32 1/2 (PI.f32))) 2))))) (/.f32 (sin.f32 (*.f32 1/2 (PI.f32))) (cos.f32 (*.f32 1/2 (PI.f32)))))
(fma.f32 u1 (-.f32 (*.f32 (PI.f32) 2) (*.f32 -2 (/.f32 (*.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 (pow.f32 (sin.f32 (*.f32 1/2 (PI.f32))) 2) (/.f32 (PI.f32) (pow.f32 (cos.f32 (*.f32 1/2 (PI.f32))) 2))))) (/.f32 (sin.f32 (*.f32 1/2 (PI.f32))) (cos.f32 (*.f32 1/2 (PI.f32)))))
(fma.f32 u1 (*.f32 2 (*.f32 (+.f32 (/.f32 (pow.f32 (sin.f32 (*.f32 1/2 (PI.f32))) 2) (pow.f32 (cos.f32 (*.f32 1/2 (PI.f32))) 2)) 1) (PI.f32))) (/.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 (*.f32 (pow.f32 u1 2) (*.f32 (PI.f32) (*.f32 (sin.f32 (*.f32 1/2 (PI.f32))) (-.f32 (*.f32 (PI.f32) 2) (*.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)))) (fma.f32 u1 (-.f32 (*.f32 (PI.f32) 2) (*.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 (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)))))) (fma.f32 u1 (*.f32 2 (+.f32 (PI.f32) (*.f32 (pow.f32 (sin.f32 (*.f32 1/2 (PI.f32))) 2) (/.f32 (PI.f32) (pow.f32 (cos.f32 (*.f32 1/2 (PI.f32))) 2))))) (/.f32 (sin.f32 (*.f32 1/2 (PI.f32))) (cos.f32 (*.f32 1/2 (PI.f32))))))
(fma.f32 2 (*.f32 (pow.f32 u1 2) (*.f32 (*.f32 (sin.f32 (*.f32 1/2 (PI.f32))) (*.f32 2 (*.f32 (+.f32 (/.f32 (pow.f32 (sin.f32 (*.f32 1/2 (PI.f32))) 2) (pow.f32 (cos.f32 (*.f32 1/2 (PI.f32))) 2)) 1) (PI.f32)))) (/.f32 (PI.f32) (cos.f32 (*.f32 1/2 (PI.f32)))))) (fma.f32 u1 (*.f32 2 (*.f32 (+.f32 (/.f32 (pow.f32 (sin.f32 (*.f32 1/2 (PI.f32))) 2) (pow.f32 (cos.f32 (*.f32 1/2 (PI.f32))) 2)) 1) (PI.f32))) (/.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 (*.f32 (pow.f32 u1 2) (*.f32 (PI.f32) (*.f32 (sin.f32 (*.f32 1/2 (PI.f32))) (-.f32 (*.f32 (PI.f32) 2) (*.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)))) (fma.f32 u1 (-.f32 (*.f32 (PI.f32) 2) (*.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)))) (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 -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)) (fma.f32 -2 (*.f32 (-.f32 (*.f32 (PI.f32) 2) (*.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 (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 (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)))))) (fma.f32 u1 (*.f32 2 (+.f32 (PI.f32) (*.f32 (pow.f32 (sin.f32 (*.f32 1/2 (PI.f32))) 2) (/.f32 (PI.f32) (pow.f32 (cos.f32 (*.f32 1/2 (PI.f32))) 2))))) (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 (pow.f32 (sin.f32 (*.f32 1/2 (PI.f32))) 2) (/.f32 (PI.f32) (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 (pow.f32 (sin.f32 (*.f32 1/2 (PI.f32))) 2) (/.f32 (PI.f32) (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)))))))
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(*.f32 (pow.f32 (cbrt.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 u1 2 1/2))) alphax))) 2) (cbrt.f32 (pow.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 u1 2 1/2))) alphax)) 4)))
(*.f32 (pow.f32 (cbrt.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 u1 2 1/2))) (/.f32 alphay alphax))) 2) (cbrt.f32 (pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 u1 2 1/2))) (/.f32 alphay alphax)) 4)))
(*.f32 (sqrt.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax))) (*.f32 (sqrt.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax))) (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax))))
(pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2)
(pow.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 u1 2 1/2))) alphax)) 2)
(pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 u1 2 1/2))) (/.f32 alphay alphax)) 2)
(*.f32 (*.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) (sqrt.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)))) (sqrt.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax))))
(pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2)
(pow.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 u1 2 1/2))) alphax)) 2)
(pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 u1 2 1/2))) (/.f32 alphay alphax)) 2)
(*.f32 (*.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))) (/.f32 alphay alphax))
(pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2)
(pow.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 u1 2 1/2))) alphax)) 2)
(pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 u1 2 1/2))) (/.f32 alphay alphax)) 2)
(*.f32 (*.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) (/.f32 alphay alphax)) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))
(pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2)
(pow.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 u1 2 1/2))) alphax)) 2)
(pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 u1 2 1/2))) (/.f32 alphay alphax)) 2)
(*.f32 (*.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) (pow.f32 (cbrt.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax))) 2)) (cbrt.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax))))
(pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2)
(pow.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 u1 2 1/2))) alphax)) 2)
(pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 u1 2 1/2))) (/.f32 alphay alphax)) 2)
(/.f32 (*.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphay) (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphay)) (pow.f32 alphax 2))
(pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2)
(pow.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 u1 2 1/2))) alphax)) 2)
(pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 u1 2 1/2))) (/.f32 alphay alphax)) 2)
(/.f32 (*.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphay)) alphax)
(pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2)
(pow.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 u1 2 1/2))) alphax)) 2)
(pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 u1 2 1/2))) (/.f32 alphay alphax)) 2)
(/.f32 (*.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphay) (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax))) alphax)
(pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2)
(pow.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 u1 2 1/2))) alphax)) 2)
(pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 u1 2 1/2))) (/.f32 alphay alphax)) 2)
(sqrt.f32 (pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 4))
(pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2)
(pow.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 u1 2 1/2))) alphax)) 2)
(pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 u1 2 1/2))) (/.f32 alphay alphax)) 2)
(log.f32 (exp.f32 (pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2)))
(pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2)
(pow.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 u1 2 1/2))) alphax)) 2)
(pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 u1 2 1/2))) (/.f32 alphay alphax)) 2)
(log.f32 (+.f32 1 (expm1.f32 (pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2))))
(pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2)
(pow.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 u1 2 1/2))) alphax)) 2)
(pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 u1 2 1/2))) (/.f32 alphay alphax)) 2)
(cbrt.f32 (pow.f32 (pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2) 3))
(pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2)
(pow.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 u1 2 1/2))) alphax)) 2)
(pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 u1 2 1/2))) (/.f32 alphay alphax)) 2)
(expm1.f32 (log1p.f32 (pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2)))
(pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2)
(pow.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 u1 2 1/2))) alphax)) 2)
(pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 u1 2 1/2))) (/.f32 alphay alphax)) 2)
(log1p.f32 (expm1.f32 (pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2)))
(pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2)
(pow.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 u1 2 1/2))) alphax)) 2)
(pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 u1 2 1/2))) (/.f32 alphay alphax)) 2)
(exp.f32 (*.f32 2 (log.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)))))
(pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2)
(pow.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 u1 2 1/2))) alphax)) 2)
(pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 u1 2 1/2))) (/.f32 alphay alphax)) 2)
(exp.f32 (*.f32 (*.f32 2 (log.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)))) 1))
(pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2)
(pow.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 u1 2 1/2))) alphax)) 2)
(pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 u1 2 1/2))) (/.f32 alphay alphax)) 2)
(+.f32 0 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))
(*.f32 (PI.f32) (fma.f32 2 u1 1/2))
(*.f32 (PI.f32) (fma.f32 u1 2 1/2))
(+.f32 (*.f32 (PI.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))
(+.f32 (*.f32 (*.f32 2 u1) (PI.f32)) (*.f32 1/2 (PI.f32)))
(*.f32 (PI.f32) (fma.f32 2 u1 1/2))
(*.f32 (PI.f32) (fma.f32 u1 2 1/2))
(+.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 (*.f32 2 (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (PI.f32)) (fma.f32 u1 2 1/2))))) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (PI.f32)) (fma.f32 u1 2 1/2)))))
(*.f32 3 (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (PI.f32)) (fma.f32 u1 2 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 (PI.f32) (fma.f32 2 u1 1/2))
(*.f32 (PI.f32) (fma.f32 u1 2 1/2))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))) 1)
(*.f32 (PI.f32) (fma.f32 2 u1 1/2))
(*.f32 (PI.f32) (fma.f32 u1 2 1/2))
(pow.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)) 1)
(*.f32 (PI.f32) (fma.f32 2 u1 1/2))
(*.f32 (PI.f32) (fma.f32 u1 2 1/2))
(pow.f32 (cbrt.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) 3)
(*.f32 (PI.f32) (fma.f32 2 u1 1/2))
(*.f32 (PI.f32) (fma.f32 u1 2 1/2))
(pow.f32 (pow.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)) 3) 1/3)
(*.f32 (PI.f32) (fma.f32 2 u1 1/2))
(*.f32 (PI.f32) (fma.f32 u1 2 1/2))
(pow.f32 (sqrt.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) 2)
(*.f32 (PI.f32) (fma.f32 2 u1 1/2))
(*.f32 (PI.f32) (fma.f32 u1 2 1/2))
(sqrt.f32 (pow.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)) 2))
(*.f32 (PI.f32) (fma.f32 2 u1 1/2))
(*.f32 (PI.f32) (fma.f32 u1 2 1/2))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (fma.f32 2 u1 1/2)))
(*.f32 (PI.f32) (fma.f32 2 u1 1/2))
(*.f32 (PI.f32) (fma.f32 u1 2 1/2))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))
(*.f32 (PI.f32) (fma.f32 2 u1 1/2))
(*.f32 (PI.f32) (fma.f32 u1 2 1/2))
(cbrt.f32 (pow.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)) 3))
(*.f32 (PI.f32) (fma.f32 2 u1 1/2))
(*.f32 (PI.f32) (fma.f32 u1 2 1/2))
(cbrt.f32 (*.f32 (pow.f32 (PI.f32) 3) (pow.f32 (fma.f32 2 u1 1/2) 3)))
(*.f32 (PI.f32) (fma.f32 2 u1 1/2))
(*.f32 (PI.f32) (fma.f32 u1 2 1/2))
(cbrt.f32 (*.f32 (pow.f32 (fma.f32 2 u1 1/2) 3) (pow.f32 (PI.f32) 3)))
(*.f32 (PI.f32) (fma.f32 2 u1 1/2))
(*.f32 (PI.f32) (fma.f32 u1 2 1/2))
(expm1.f32 (log1p.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))
(*.f32 (PI.f32) (fma.f32 2 u1 1/2))
(*.f32 (PI.f32) (fma.f32 u1 2 1/2))
(log1p.f32 (expm1.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))
(*.f32 (PI.f32) (fma.f32 2 u1 1/2))
(*.f32 (PI.f32) (fma.f32 u1 2 1/2))
(exp.f32 (log.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))
(*.f32 (PI.f32) (fma.f32 2 u1 1/2))
(*.f32 (PI.f32) (fma.f32 u1 2 1/2))
(exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) 1))
(*.f32 (PI.f32) (fma.f32 2 u1 1/2))
(*.f32 (PI.f32) (fma.f32 u1 2 1/2))
(fma.f32 (PI.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 2 u1) (PI.f32) (*.f32 1/2 (PI.f32)))
(*.f32 (PI.f32) (fma.f32 2 u1 1/2))
(*.f32 (PI.f32) (fma.f32 u1 2 1/2))

eval464.0ms (0.3%)

Compiler

Compiled 22269 to 15481 computations (30.5% saved)

prune60.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New2253228
Fresh000
Picked101
Done000
Total2263229
Accuracy
99.4%
Counts
229 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.4%
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (*.f32 (/.f32 1 (+.f32 (/.f32 (/.f32 1 (+.f32 1 (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 u1) (PI.f32)) (*.f32 1/2 (PI.f32))))) 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)))))
93.8%
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (*.f32 (/.f32 1 (+.f32 (/.f32 (/.f32 1 (+.f32 1 (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (*.f32 u1 2)))) 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)))))
97.3%
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (*.f32 (/.f32 1 (+.f32 (/.f32 (/.f32 1 (+.f32 1 (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 1/2 (PI.f32)))) 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 227 to 164 computations (27.8% saved)

localize1.8min (79.5%)

Localize:

Found 3 expressions with local error:

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

Compiled 2147 to 1334 computations (37.9% saved)

series0.0ms (0%)

Counts
3 → 0

rewrite110.0ms (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
039
1249
22359
324229
Stop Event
node limit
Counts
3 → 189
Calls
Call 1
Inputs
(PI.f32)
(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)
(+.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)

simplify141.0ms (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
01602403
13682283
214362235
370302235
Stop Event
node limit
Counts
189 → 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)
(+.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)
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(-.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)

eval2.7s (1.9%)

Compiler

Compiled 105614 to 69069 computations (34.6% saved)

prune2.4s (1.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New132801328
Fresh000
Picked033
Done000
Total132831331
Accuracy
99.4%
Counts
1331 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.4%
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (*.f32 (/.f32 1 (+.f32 (/.f32 (/.f32 1 (+.f32 1 (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 u1) (PI.f32)) (*.f32 1/2 (PI.f32))))) 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)))))
93.8%
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (*.f32 (/.f32 1 (+.f32 (/.f32 (/.f32 1 (+.f32 1 (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (*.f32 u1 2)))) 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)))))
97.3%
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (*.f32 (/.f32 1 (+.f32 (/.f32 (/.f32 1 (+.f32 1 (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 1/2 (PI.f32)))) 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 683 to 468 computations (31.5% saved)

regimes75.0ms (0.1%)

Counts
6 → 1
Calls
Call 1
Inputs
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (*.f32 (/.f32 1 (+.f32 (/.f32 (/.f32 1 (+.f32 1 (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 1/2 (PI.f32)))) 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 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (*.f32 u1 2)))) 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 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 u1) (PI.f32)) (*.f32 1/2 (PI.f32))))) 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 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))) 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)))))
(/.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)))))
Outputs
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (*.f32 (/.f32 1 (+.f32 (/.f32 (/.f32 1 (+.f32 1 (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 u1) (PI.f32)) (*.f32 1/2 (PI.f32))))) 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

13 calls:

8.0ms
(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))))
8.0ms
(/.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
alphax
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))
Results
AccuracySegmentsBranch
99.4%1u0
99.4%1u1
99.4%1alphax
99.4%1alphay
99.4%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)))))
99.4%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))))
99.4%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)))
99.4%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))
99.4%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))))
99.4%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)))
99.4%1(tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32))))
99.4%1(+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32)))
99.4%1(*.f32 (*.f32 2 (PI.f32)) u1)
Compiler

Compiled 574 to 401 computations (30.1% saved)

regimes21.0ms (0%)

Accuracy

Total -1.5b remaining (-173.4%)

Threshold costs -1.5b (-173.4%)

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

4.0ms
alphay
3.0ms
(*.f32 (*.f32 2 (PI.f32)) u1)
3.0ms
alphax
3.0ms
u1
3.0ms
u0
Results
AccuracySegmentsBranch
97.3%1u0
97.3%1u1
97.3%1alphax
97.3%1alphay
97.3%1(tan.f32 (+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32))))
97.3%1(+.f32 (*.f32 (*.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32)))
97.3%1(*.f32 (*.f32 2 (PI.f32)) u1)
Compiler

Compiled 56 to 47 computations (16.1% saved)

simplify14.0ms (0%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
059553
184553
288553
390553
491553
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 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 u1) (PI.f32)) (*.f32 1/2 (PI.f32))))) 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 (/.f32 alphay alphax) (tan.f32 (*.f32 1/2 (PI.f32)))) 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 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 u1) (PI.f32)) (*.f32 1/2 (PI.f32))))) 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 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 2 u1) (PI.f32)) (*.f32 (PI.f32) 1/2)))) 2))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (PI.f32) 1/2) (*.f32 u1 (*.f32 2 (PI.f32)))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (PI.f32) 1/2) (*.f32 u1 (*.f32 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 (/.f32 alphay alphax) (tan.f32 (*.f32 1/2 (PI.f32)))) 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 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (PI.f32) 1/2) (*.f32 u1 (*.f32 2 (PI.f32)))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (PI.f32) 1/2) (*.f32 u1 (*.f32 2 (PI.f32))))))))) (*.f32 alphay alphay)) (/.f32 (/.f32 1 (+.f32 1 (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) 1/2))) 2))) (*.f32 alphax alphax))))) (-.f32 1 u0)))))
Compiler

Compiled 152 to 110 computations (27.6% saved)

soundness288.0ms (0.2%)

Rules
1010×log1p-expm1-u
1010×expm1-log1p-u
570×log-prod
266×log1p-expm1-u
266×expm1-log1p-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033347
1562305
02092
122392
2277492
Stop Event
node limit
node limit
Compiler

Compiled 792 to 522 computations (34.1% saved)

end0.0ms (0%)

preprocess121.0ms (0.1%)

Compiler

Compiled 480 to 332 computations (30.8% saved)

Profiling

Loading profile data...