HairBSDF, Mp, lower

Time bar (total: 12.7s)

analyze758.0ms (6%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%3%97%0%0%0%0
0%0%3%97%0%0%0%1
0%0%3%97%0%0%0%2
0%0%3%97%0%0%0%3
0%0%3%97%0%0%0%4
0%0%3%97%0%0%0%5
0%0%1.5%97%0%1.5%0%6
0%0%1.5%97%0%1.5%0%7
0%0%1.5%97%0%1.5%0%8
0%0%1.5%97%0%1.5%0%9
0%0%1.5%97%0%1.5%0%10
50%0.7%0.7%97%0%1.5%0%11
50%0.7%0.7%97%0%1.5%0%12
Compiler

Compiled 69 to 51 computations (26.1% saved)

sample3.1s (24.2%)

Results
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Bogosity

preprocess645.0ms (5.1%)

Algorithm
egg-herbie
Rules
399×times-frac
382×associate-+l-
332×associate-+l+
306×associate-+r-
294×sub-neg
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
944(-3.310757077519757e-37 2.110879558196111e-17 1.0550657798892877e-38 1.4445165952281513e-8 6.903765892296576e-10)33(-1.9285736661189154e-18 -7.925839500404205e-23 -9.144085607212628e-35 5.259278255953515e-13 1.3970666899423979e-31)(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
916(-1.1116540327149593e-10 3.3307755858968946e-11 -9.071269066131741e-29 5.494820253109114e-21 6.386797758750618e-5)36(3.4952719142110046e-32 1.8221149853000147e-30 -4.6600170304105946e-33 5.568653871357299e-10 9.099320837624849e-28)(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
26(-1.2717726719825573e-13 1.6748679771679115e-36 -4.5287029908253995e-29 -7.053771083465168e-31 0.001498459023423493)2(-3.9820319045998694e-15 -1.4698768219709449e-34 5.3291619873675984e-21 8.26813704307705e-12 0.012581602670252323)(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v)))))
10-0-(log.f32 (/.f32 1 (*.f32 2 v)))
00-0-cosTheta_O
00-0-(*.f32 2 v)
00-0-(-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
00-0-(/.f32 1 v)
00-0-(*.f32 cosTheta_i cosTheta_O)
00-0-(*.f32 sinTheta_i sinTheta_O)
00-0-(+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000)
00-0-sinTheta_O
00-0-v
00-0-(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v))))
00-0-cosTheta_i
00-0-sinTheta_i
00-0-(/.f32 1 (*.f32 2 v))
00-0-2
00-0-6931/10000
00-0-1
00-0-(-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01732130
14852026
214221870
363271870
Stop Event
node limit
Calls
Call 1
Inputs
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 (neg.f32 cosTheta_i) cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i (neg.f32 cosTheta_O)) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 (neg.f32 sinTheta_i) sinTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (neg.f32 v)) (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (/.f32 1 (neg.f32 v))) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 (neg.f32 v))))))
(neg.f32 (exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 (neg.f32 cosTheta_i) cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v))))))
(neg.f32 (exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i (neg.f32 cosTheta_O)) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v))))))
(neg.f32 (exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 (neg.f32 sinTheta_i) sinTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v))))))
(neg.f32 (exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v))))))
(neg.f32 (exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (neg.f32 v)) (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (/.f32 1 (neg.f32 v))) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 (neg.f32 v)))))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 sinTheta_i cosTheta_O) v) (/.f32 (*.f32 cosTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 sinTheta_O cosTheta_O) v) (/.f32 (*.f32 sinTheta_i cosTheta_i) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 v cosTheta_O) cosTheta_i) (/.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i)) (/.f32 1 cosTheta_i)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 cosTheta_i)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i sinTheta_i) v) (/.f32 (*.f32 cosTheta_O sinTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i sinTheta_O) v) (/.f32 (*.f32 sinTheta_i cosTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i v) cosTheta_O) (/.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_O)) (/.f32 1 cosTheta_O)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 cosTheta_O)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) sinTheta_i) (/.f32 (*.f32 v sinTheta_O) sinTheta_i)) (/.f32 1 sinTheta_i)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 sinTheta_i)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) sinTheta_O) (/.f32 (*.f32 sinTheta_i v) sinTheta_O)) (/.f32 1 sinTheta_O)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 sinTheta_O)))))
Outputs
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v)))))
(exp.f32 (+.f32 (-.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (+.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (-.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (+.f32 (/.f32 -1 v) 6931/10000))))
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_O v) sinTheta_i (+.f32 (/.f32 1 v) -6931/10000)))))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (fma.f32 (/.f32 cosTheta_O v) cosTheta_i (-.f32 (/.f32 -1 v) (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) 6931/10000)))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v)))))
(exp.f32 (+.f32 (-.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (+.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (-.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (+.f32 (/.f32 -1 v) 6931/10000))))
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_O v) sinTheta_i (+.f32 (/.f32 1 v) -6931/10000)))))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (fma.f32 (/.f32 cosTheta_O v) cosTheta_i (-.f32 (/.f32 -1 v) (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) 6931/10000)))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 (neg.f32 cosTheta_i) cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v)))))
(exp.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (-.f32 (/.f32 cosTheta_i (/.f32 v (neg.f32 cosTheta_O))) (+.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 1 v))))))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (-.f32 (*.f32 (/.f32 cosTheta_i v) (neg.f32 cosTheta_O)) (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (+.f32 (/.f32 -1 v) 6931/10000))))
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (-.f32 6931/10000 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (fma.f32 (/.f32 sinTheta_O v) sinTheta_i (/.f32 1 v)))))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 -1 v) (fma.f32 (/.f32 cosTheta_O v) cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i (neg.f32 cosTheta_O)) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v)))))
(exp.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (-.f32 (/.f32 cosTheta_i (/.f32 v (neg.f32 cosTheta_O))) (+.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 1 v))))))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (-.f32 (*.f32 (/.f32 cosTheta_i v) (neg.f32 cosTheta_O)) (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (+.f32 (/.f32 -1 v) 6931/10000))))
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (-.f32 6931/10000 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (fma.f32 (/.f32 sinTheta_O v) sinTheta_i (/.f32 1 v)))))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 -1 v) (fma.f32 (/.f32 cosTheta_O v) cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 (neg.f32 sinTheta_i) sinTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v)))))
(exp.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (-.f32 (-.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (/.f32 sinTheta_i (/.f32 v (neg.f32 sinTheta_O)))) (/.f32 1 v)))))
(*.f32 (exp.f32 (+.f32 (-.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (*.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (+.f32 (/.f32 -1 v) 6931/10000))) (/.f32 1/2 v))
(*.f32 (exp.f32 (+.f32 (fma.f32 (/.f32 cosTheta_O v) cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (+.f32 6931/10000 (/.f32 -1 v)))) (/.f32 1/2 v))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v)))))
(exp.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (-.f32 (-.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (/.f32 sinTheta_i (/.f32 v (neg.f32 sinTheta_O)))) (/.f32 1 v)))))
(*.f32 (exp.f32 (+.f32 (-.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (*.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (+.f32 (/.f32 -1 v) 6931/10000))) (/.f32 1/2 v))
(*.f32 (exp.f32 (+.f32 (fma.f32 (/.f32 cosTheta_O v) cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (+.f32 6931/10000 (/.f32 -1 v)))) (/.f32 1/2 v))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (neg.f32 v)) (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (/.f32 1 (neg.f32 v))) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 (neg.f32 v))))))
(exp.f32 (+.f32 (-.f32 (/.f32 cosTheta_i (/.f32 (neg.f32 v) cosTheta_O)) (+.f32 (/.f32 sinTheta_i (/.f32 (neg.f32 v) sinTheta_O)) (/.f32 1 (neg.f32 v)))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 (neg.f32 v))))))
(*.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 cosTheta_i (/.f32 (neg.f32 v) cosTheta_O)) (+.f32 (*.f32 (/.f32 sinTheta_i (neg.f32 v)) sinTheta_O) (/.f32 -1 v))))) (/.f32 -1/2 v))
(*.f32 (exp.f32 (fma.f32 (/.f32 cosTheta_i (neg.f32 v)) cosTheta_O (+.f32 (fma.f32 (/.f32 sinTheta_O v) sinTheta_i (/.f32 1 v)) 6931/10000))) (/.f32 -1/2 v))
(neg.f32 (exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 (neg.f32 cosTheta_i) cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v))))))
(neg.f32 (exp.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (-.f32 (/.f32 cosTheta_i (/.f32 v (neg.f32 cosTheta_O))) (+.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 1 v)))))))
(*.f32 (exp.f32 (+.f32 (-.f32 (*.f32 (/.f32 cosTheta_i v) (neg.f32 cosTheta_O)) (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (+.f32 (/.f32 -1 v) 6931/10000))) (neg.f32 (/.f32 1/2 v)))
(*.f32 (exp.f32 (-.f32 (-.f32 6931/10000 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (fma.f32 (/.f32 sinTheta_O v) sinTheta_i (/.f32 1 v)))) (/.f32 -1/2 v))
(*.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 -1 v) (fma.f32 (/.f32 cosTheta_O v) cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))))) (/.f32 -1/2 v))
(neg.f32 (exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i (neg.f32 cosTheta_O)) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v))))))
(neg.f32 (exp.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (-.f32 (/.f32 cosTheta_i (/.f32 v (neg.f32 cosTheta_O))) (+.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 1 v)))))))
(*.f32 (exp.f32 (+.f32 (-.f32 (*.f32 (/.f32 cosTheta_i v) (neg.f32 cosTheta_O)) (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (+.f32 (/.f32 -1 v) 6931/10000))) (neg.f32 (/.f32 1/2 v)))
(*.f32 (exp.f32 (-.f32 (-.f32 6931/10000 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (fma.f32 (/.f32 sinTheta_O v) sinTheta_i (/.f32 1 v)))) (/.f32 -1/2 v))
(*.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 -1 v) (fma.f32 (/.f32 cosTheta_O v) cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))))) (/.f32 -1/2 v))
(neg.f32 (exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 (neg.f32 sinTheta_i) sinTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v))))))
(neg.f32 (exp.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (-.f32 (-.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (/.f32 sinTheta_i (/.f32 v (neg.f32 sinTheta_O)))) (/.f32 1 v))))))
(*.f32 (exp.f32 (+.f32 (-.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (*.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (+.f32 (/.f32 -1 v) 6931/10000))) (neg.f32 (/.f32 1/2 v)))
(*.f32 (exp.f32 (+.f32 (fma.f32 (/.f32 cosTheta_O v) cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (+.f32 6931/10000 (/.f32 -1 v)))) (/.f32 -1/2 v))
(neg.f32 (exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v))))))
(neg.f32 (exp.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (-.f32 (-.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (/.f32 sinTheta_i (/.f32 v (neg.f32 sinTheta_O)))) (/.f32 1 v))))))
(*.f32 (exp.f32 (+.f32 (-.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (*.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (+.f32 (/.f32 -1 v) 6931/10000))) (neg.f32 (/.f32 1/2 v)))
(*.f32 (exp.f32 (+.f32 (fma.f32 (/.f32 cosTheta_O v) cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (+.f32 6931/10000 (/.f32 -1 v)))) (/.f32 -1/2 v))
(neg.f32 (exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (neg.f32 v)) (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (/.f32 1 (neg.f32 v))) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 (neg.f32 v)))))))
(neg.f32 (exp.f32 (+.f32 (-.f32 (/.f32 cosTheta_i (/.f32 (neg.f32 v) cosTheta_O)) (+.f32 (/.f32 sinTheta_i (/.f32 (neg.f32 v) sinTheta_O)) (/.f32 1 (neg.f32 v)))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 (neg.f32 v)))))))
(*.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 cosTheta_i (/.f32 (neg.f32 v) cosTheta_O)) (+.f32 (*.f32 (/.f32 sinTheta_i (neg.f32 v)) sinTheta_O) (/.f32 -1 v))))) (neg.f32 (/.f32 -1/2 v)))
(*.f32 (/.f32 1/2 v) (exp.f32 (fma.f32 (/.f32 cosTheta_i (neg.f32 v)) cosTheta_O (+.f32 (fma.f32 (/.f32 sinTheta_O v) sinTheta_i (/.f32 1 v)) 6931/10000))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v)))))
(exp.f32 (+.f32 (-.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (+.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (-.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (+.f32 (/.f32 -1 v) 6931/10000))))
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_O v) sinTheta_i (+.f32 (/.f32 1 v) -6931/10000)))))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (fma.f32 (/.f32 cosTheta_O v) cosTheta_i (-.f32 (/.f32 -1 v) (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) 6931/10000)))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 sinTheta_i cosTheta_O) v) (/.f32 (*.f32 cosTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v)))))
(exp.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (-.f32 (/.f32 sinTheta_i (/.f32 v cosTheta_O)) (+.f32 (/.f32 cosTheta_i (/.f32 v sinTheta_O)) (/.f32 1 v))))))
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (*.f32 (/.f32 sinTheta_i v) cosTheta_O) (+.f32 (*.f32 (/.f32 cosTheta_i v) sinTheta_O) (+.f32 (/.f32 1 v) -6931/10000)))))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 (/.f32 cosTheta_O v) sinTheta_i) (fma.f32 (/.f32 cosTheta_i v) sinTheta_O (/.f32 1 v))))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 sinTheta_O cosTheta_O) v) (/.f32 (*.f32 sinTheta_i cosTheta_i) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v)))))
(exp.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (-.f32 (/.f32 cosTheta_O (/.f32 v sinTheta_O)) (+.f32 (/.f32 cosTheta_i (/.f32 v sinTheta_i)) (/.f32 1 v))))))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (-.f32 (*.f32 (/.f32 cosTheta_O v) sinTheta_O) (*.f32 (/.f32 sinTheta_i v) cosTheta_i)) (+.f32 (/.f32 -1 v) 6931/10000))))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 sinTheta_O (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) cosTheta_i (/.f32 1 v))))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 v cosTheta_O) cosTheta_i) (/.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i)) (/.f32 1 cosTheta_i)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 cosTheta_i)))))
(exp.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_O v) cosTheta_i) (/.f32 sinTheta_i (/.f32 cosTheta_i sinTheta_O))) (/.f32 1 cosTheta_i)) (+.f32 6931/10000 (log.f32 (/.f32 1/2 cosTheta_i)))))
(*.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (-.f32 (/.f32 cosTheta_O (/.f32 cosTheta_i v)) (*.f32 (/.f32 sinTheta_i cosTheta_i) sinTheta_O)) (/.f32 -1 cosTheta_i)))) (/.f32 1/2 cosTheta_i))
(*.f32 (exp.f32 (-.f32 (/.f32 cosTheta_O (/.f32 cosTheta_i v)) (+.f32 (fma.f32 (/.f32 sinTheta_i cosTheta_i) sinTheta_O (/.f32 1 cosTheta_i)) -6931/10000))) (/.f32 1/2 cosTheta_i))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i sinTheta_i) v) (/.f32 (*.f32 cosTheta_O sinTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v)))))
(exp.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (-.f32 (/.f32 cosTheta_i (/.f32 v sinTheta_i)) (+.f32 (/.f32 cosTheta_O (/.f32 v sinTheta_O)) (/.f32 1 v))))))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 (/.f32 sinTheta_i v) cosTheta_i) (+.f32 (/.f32 1 v) (*.f32 (/.f32 cosTheta_O v) sinTheta_O))))))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 sinTheta_i (/.f32 cosTheta_i v)) (fma.f32 (/.f32 sinTheta_O v) cosTheta_O (/.f32 1 v))))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i sinTheta_O) v) (/.f32 (*.f32 sinTheta_i cosTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v)))))
(exp.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (-.f32 (-.f32 (/.f32 cosTheta_i (/.f32 v sinTheta_O)) (/.f32 sinTheta_i (/.f32 v cosTheta_O))) (/.f32 1 v)))))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 (/.f32 cosTheta_i v) sinTheta_O) (-.f32 (*.f32 (/.f32 sinTheta_i v) cosTheta_O) (/.f32 -1 v))))))
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (*.f32 sinTheta_O (/.f32 cosTheta_i v)) (fma.f32 (/.f32 sinTheta_i v) cosTheta_O (+.f32 (/.f32 1 v) -6931/10000)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i v) cosTheta_O) (/.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_O)) (/.f32 1 cosTheta_O)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 cosTheta_O)))))
(exp.f32 (+.f32 (-.f32 (/.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 (/.f32 sinTheta_i (/.f32 cosTheta_O sinTheta_O)) (/.f32 1 cosTheta_O))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 cosTheta_O)))))
(*.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (-.f32 (*.f32 (/.f32 cosTheta_i cosTheta_O) v) (*.f32 (/.f32 sinTheta_i cosTheta_O) sinTheta_O)) (/.f32 -1 cosTheta_O)))) (/.f32 1/2 cosTheta_O))
(*.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 v (/.f32 cosTheta_i cosTheta_O)) (fma.f32 (/.f32 sinTheta_i cosTheta_O) sinTheta_O (/.f32 1 cosTheta_O))))) (/.f32 1/2 cosTheta_O))
(*.f32 (exp.f32 (fma.f32 (/.f32 cosTheta_i cosTheta_O) v (+.f32 (-.f32 (/.f32 -1 cosTheta_O) (*.f32 sinTheta_O (/.f32 sinTheta_i cosTheta_O))) 6931/10000))) (/.f32 1/2 cosTheta_O))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v)))))
(exp.f32 (+.f32 (-.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (+.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (-.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (+.f32 (/.f32 -1 v) 6931/10000))))
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_O v) sinTheta_i (+.f32 (/.f32 1 v) -6931/10000)))))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (fma.f32 (/.f32 cosTheta_O v) cosTheta_i (-.f32 (/.f32 -1 v) (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) 6931/10000)))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) sinTheta_i) (/.f32 (*.f32 v sinTheta_O) sinTheta_i)) (/.f32 1 sinTheta_i)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 sinTheta_i)))))
(exp.f32 (+.f32 (-.f32 (/.f32 cosTheta_i (/.f32 sinTheta_i cosTheta_O)) (+.f32 (/.f32 (*.f32 v sinTheta_O) sinTheta_i) (/.f32 1 sinTheta_i))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 sinTheta_i)))))
(*.f32 (exp.f32 (-.f32 (*.f32 (/.f32 cosTheta_i sinTheta_i) cosTheta_O) (+.f32 (*.f32 (/.f32 v sinTheta_i) sinTheta_O) (+.f32 (/.f32 1 sinTheta_i) -6931/10000)))) (/.f32 1/2 sinTheta_i))
(*.f32 (exp.f32 (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i sinTheta_i)) (+.f32 (fma.f32 (/.f32 v sinTheta_i) sinTheta_O (/.f32 1 sinTheta_i)) -6931/10000))) (/.f32 1/2 sinTheta_i))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) sinTheta_O) (/.f32 (*.f32 sinTheta_i v) sinTheta_O)) (/.f32 1 sinTheta_O)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 sinTheta_O)))))
(exp.f32 (+.f32 (-.f32 (/.f32 cosTheta_i (/.f32 sinTheta_O cosTheta_O)) (+.f32 (/.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 1 sinTheta_O))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 sinTheta_O)))))
(*.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (-.f32 (/.f32 cosTheta_i (/.f32 sinTheta_O cosTheta_O)) (*.f32 (/.f32 sinTheta_i sinTheta_O) v)) (/.f32 -1 sinTheta_O)))) (/.f32 1/2 sinTheta_O))
(*.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i sinTheta_O)) (fma.f32 (/.f32 sinTheta_i sinTheta_O) v (/.f32 1 sinTheta_O))))) (/.f32 1/2 sinTheta_O))
Symmetry

(sort cosTheta_i cosTheta_O)

(sort sinTheta_i sinTheta_O)

Compiler

Compiled 308 to 138 computations (55.2% saved)

eval2.0ms (0%)

Compiler

Compiled 92 to 54 computations (41.3% saved)

prune2.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
99.3%
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (-.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (+.f32 (/.f32 -1 v) 6931/10000))))
99.4%
(exp.f32 (+.f32 (-.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (+.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
Compiler

Compiled 55 to 39 computations (29.1% saved)

localize359.0ms (2.8%)

Localize:

Found 8 expressions with local error:

NewAccuracyProgram
99.7%
(-.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 sinTheta_i (/.f32 v sinTheta_O)))
99.6%
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (-.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (+.f32 (/.f32 -1 v) 6931/10000))))
99.4%
(/.f32 sinTheta_i (/.f32 v sinTheta_O))
99.4%
(*.f32 (/.f32 cosTheta_O v) cosTheta_i)
99.8%
(+.f32 (-.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (+.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))
99.6%
(log.f32 (/.f32 1/2 v))
99.4%
(/.f32 sinTheta_i (/.f32 v sinTheta_O))
99.3%
(/.f32 cosTheta_i (/.f32 v cosTheta_O))
Compiler

Compiled 218 to 87 computations (60.1% saved)

series152.0ms (1.2%)

Counts
8 → 336
Calls

84 calls:

TimeVariablePointExpression
31.0ms
v
@0
(log.f32 (/.f32 1/2 v))
19.0ms
v
@-inf
(log.f32 (/.f32 1/2 v))
13.0ms
v
@inf
(log.f32 (/.f32 1/2 v))
7.0ms
cosTheta_O
@0
(+.f32 (-.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (+.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))
5.0ms
cosTheta_O
@inf
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (-.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (+.f32 (/.f32 -1 v) 6931/10000))))

rewrite312.0ms (2.5%)

Algorithm
batch-egg-rewrite
Rules
287×log1p-expm1-u
287×expm1-log1p-u
281×add-exp-log
281×add-cube-cbrt
280×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
037329
1634325
Stop Event
node limit
Counts
8 → 259
Calls
Call 1
Inputs
(/.f32 cosTheta_i (/.f32 v cosTheta_O))
(/.f32 sinTheta_i (/.f32 v sinTheta_O))
(log.f32 (/.f32 1/2 v))
(+.f32 (-.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (+.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))
(*.f32 (/.f32 cosTheta_O v) cosTheta_i)
(/.f32 sinTheta_i (/.f32 v sinTheta_O))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (-.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (+.f32 (/.f32 -1 v) 6931/10000))))
(-.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 sinTheta_i (/.f32 v sinTheta_O)))
Outputs
(-.f32 (exp.f32 (log1p.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)))) 1)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(*.f32 1 (*.f32 cosTheta_i (/.f32 cosTheta_O v)))
(*.f32 (/.f32 1 v) (/.f32 cosTheta_i (/.f32 1 cosTheta_O)))
(*.f32 (/.f32 cosTheta_O v) cosTheta_i)
(*.f32 (pow.f32 (cbrt.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) 2) (cbrt.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v))))
(*.f32 (sqrt.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (sqrt.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v))))
(*.f32 (sqrt.f32 (/.f32 cosTheta_O v)) (/.f32 cosTheta_i (sqrt.f32 (/.f32 v cosTheta_O))))
(*.f32 (/.f32 cosTheta_i v) cosTheta_O)
(*.f32 (/.f32 (pow.f32 (cbrt.f32 cosTheta_i) 2) 1) (/.f32 (cbrt.f32 cosTheta_i) (/.f32 v cosTheta_O)))
(*.f32 (/.f32 (sqrt.f32 cosTheta_i) 1) (/.f32 (sqrt.f32 cosTheta_i) (/.f32 v cosTheta_O)))
(*.f32 (/.f32 (sqrt.f32 cosTheta_i) v) (/.f32 (sqrt.f32 cosTheta_i) (/.f32 1 cosTheta_O)))
(*.f32 (/.f32 cosTheta_O (sqrt.f32 v)) (/.f32 cosTheta_i (sqrt.f32 v)))
(*.f32 (/.f32 1 (pow.f32 (cbrt.f32 (/.f32 v cosTheta_O)) 2)) (/.f32 cosTheta_i (cbrt.f32 (/.f32 v cosTheta_O))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 cosTheta_i) 2) v) (/.f32 (cbrt.f32 cosTheta_i) (/.f32 1 cosTheta_O)))
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(+.f32 (fma.f32 (pow.f32 (cbrt.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) 2) (cbrt.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (neg.f32 (*.f32 (cbrt.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O)) (pow.f32 (cbrt.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O)) 2)))) (fma.f32 (neg.f32 (cbrt.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O))) (pow.f32 (cbrt.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O)) 2) (*.f32 (cbrt.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O)) (pow.f32 (cbrt.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O)) 2))))
(+.f32 (fma.f32 (pow.f32 (cbrt.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) 2) (cbrt.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (neg.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) (fma.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(+.f32 (fma.f32 (sqrt.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (sqrt.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (neg.f32 (*.f32 (/.f32 1 (/.f32 v sinTheta_O)) sinTheta_i))) (fma.f32 (neg.f32 (/.f32 1 (/.f32 v sinTheta_O))) sinTheta_i (*.f32 (/.f32 1 (/.f32 v sinTheta_O)) sinTheta_i)))
(+.f32 (fma.f32 (sqrt.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (sqrt.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (neg.f32 (*.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) 1))) (fma.f32 (neg.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O)) 1 (*.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) 1)))
(+.f32 (fma.f32 (sqrt.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (sqrt.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (neg.f32 (*.f32 (cbrt.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O)) (pow.f32 (cbrt.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O)) 2)))) (fma.f32 (neg.f32 (cbrt.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O))) (pow.f32 (cbrt.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O)) 2) (*.f32 (cbrt.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O)) (pow.f32 (cbrt.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O)) 2))))
(+.f32 (fma.f32 (sqrt.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (sqrt.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (neg.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) (fma.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(+.f32 (fma.f32 (/.f32 cosTheta_i v) cosTheta_O (neg.f32 (*.f32 (/.f32 1 (/.f32 v sinTheta_O)) sinTheta_i))) (fma.f32 (neg.f32 (/.f32 1 (/.f32 v sinTheta_O))) sinTheta_i (*.f32 (/.f32 1 (/.f32 v sinTheta_O)) sinTheta_i)))
(+.f32 (fma.f32 (/.f32 cosTheta_i v) cosTheta_O (neg.f32 (*.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) 1))) (fma.f32 (neg.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O)) 1 (*.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) 1)))
(+.f32 (fma.f32 (/.f32 cosTheta_i v) cosTheta_O (neg.f32 (*.f32 (cbrt.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O)) (pow.f32 (cbrt.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O)) 2)))) (fma.f32 (neg.f32 (cbrt.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O))) (pow.f32 (cbrt.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O)) 2) (*.f32 (cbrt.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O)) (pow.f32 (cbrt.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O)) 2))))
(+.f32 (fma.f32 (/.f32 cosTheta_i v) cosTheta_O (neg.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) (fma.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(*.f32 1 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (*.f32 (/.f32 sinTheta_i v) sinTheta_O)))
(*.f32 (pow.f32 (cbrt.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (*.f32 (/.f32 sinTheta_i v) sinTheta_O))) 2) (cbrt.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (*.f32 (/.f32 sinTheta_i v) sinTheta_O))))
(*.f32 (sqrt.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (*.f32 (/.f32 sinTheta_i v) sinTheta_O))) (sqrt.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (*.f32 (/.f32 sinTheta_i v) sinTheta_O))))
(/.f32 (-.f32 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) 3) (pow.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) 3)) (+.f32 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) 2) (+.f32 (pow.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) 2) (/.f32 (*.f32 cosTheta_i sinTheta_i) (*.f32 (/.f32 v cosTheta_O) (/.f32 v sinTheta_O))))))
(/.f32 (-.f32 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) 2) (pow.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) 2)) (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (*.f32 (/.f32 sinTheta_i v) sinTheta_O)))
(/.f32 (-.f32 (*.f32 cosTheta_i (/.f32 v sinTheta_O)) (*.f32 (/.f32 v cosTheta_O) sinTheta_i)) (*.f32 (/.f32 v cosTheta_O) (/.f32 v sinTheta_O)))
(/.f32 (-.f32 (*.f32 cosTheta_i (/.f32 (/.f32 v sinTheta_O) sinTheta_i)) (*.f32 (/.f32 v cosTheta_O) 1)) (*.f32 (/.f32 v cosTheta_O) (/.f32 (/.f32 v sinTheta_O) sinTheta_i)))
(/.f32 (-.f32 (*.f32 cosTheta_i (neg.f32 (/.f32 v sinTheta_O))) (*.f32 (/.f32 v cosTheta_O) (neg.f32 sinTheta_i))) (*.f32 (/.f32 v cosTheta_O) (neg.f32 (/.f32 v sinTheta_O))))
(/.f32 (-.f32 (/.f32 v sinTheta_O) (*.f32 (/.f32 (/.f32 v cosTheta_O) cosTheta_i) sinTheta_i)) (*.f32 (/.f32 (/.f32 v cosTheta_O) cosTheta_i) (/.f32 v sinTheta_O)))
(/.f32 (-.f32 (/.f32 (/.f32 v sinTheta_O) sinTheta_i) (*.f32 (/.f32 (/.f32 v cosTheta_O) cosTheta_i) 1)) (*.f32 (/.f32 (/.f32 v cosTheta_O) cosTheta_i) (/.f32 (/.f32 v sinTheta_O) sinTheta_i)))
(/.f32 (-.f32 (*.f32 1 (neg.f32 (/.f32 v sinTheta_O))) (*.f32 (/.f32 (/.f32 v cosTheta_O) cosTheta_i) (neg.f32 sinTheta_i))) (*.f32 (/.f32 (/.f32 v cosTheta_O) cosTheta_i) (neg.f32 (/.f32 v sinTheta_O))))
(/.f32 (-.f32 (*.f32 (neg.f32 cosTheta_i) (/.f32 v sinTheta_O)) (*.f32 (neg.f32 (/.f32 v cosTheta_O)) sinTheta_i)) (*.f32 (neg.f32 (/.f32 v cosTheta_O)) (/.f32 v sinTheta_O)))
(/.f32 (-.f32 (*.f32 (neg.f32 cosTheta_i) (/.f32 (/.f32 v sinTheta_O) sinTheta_i)) (*.f32 (neg.f32 (/.f32 v cosTheta_O)) 1)) (*.f32 (neg.f32 (/.f32 v cosTheta_O)) (/.f32 (/.f32 v sinTheta_O) sinTheta_i)))
(/.f32 (-.f32 (*.f32 (neg.f32 cosTheta_i) (neg.f32 (/.f32 v sinTheta_O))) (*.f32 (neg.f32 (/.f32 v cosTheta_O)) (neg.f32 sinTheta_i))) (*.f32 (neg.f32 (/.f32 v cosTheta_O)) (neg.f32 (/.f32 v sinTheta_O))))
(/.f32 (-.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 v sinTheta_O)) (*.f32 v sinTheta_i)) (*.f32 v (/.f32 v sinTheta_O)))
(/.f32 (-.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (/.f32 v sinTheta_O) sinTheta_i)) (*.f32 v 1)) (*.f32 v (/.f32 (/.f32 v sinTheta_O) sinTheta_i)))
(/.f32 (-.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (neg.f32 (/.f32 v sinTheta_O))) (*.f32 v (neg.f32 sinTheta_i))) (*.f32 v (neg.f32 (/.f32 v sinTheta_O))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) 3) (pow.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) 3))) (neg.f32 (+.f32 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) 2) (+.f32 (pow.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) 2) (/.f32 (*.f32 cosTheta_i sinTheta_i) (*.f32 (/.f32 v cosTheta_O) (/.f32 v sinTheta_O)))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) 2) (pow.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) 2))) (neg.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (*.f32 (/.f32 sinTheta_i v) sinTheta_O))))
(/.f32 (+.f32 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) 3) (pow.f32 (neg.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O)) 3)) (+.f32 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) 2) (-.f32 (*.f32 (neg.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O)) (neg.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O))) (*.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (neg.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O))))))
(pow.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (*.f32 (/.f32 sinTheta_i v) sinTheta_O)) 1)
(pow.f32 (cbrt.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (*.f32 (/.f32 sinTheta_i v) sinTheta_O))) 3)
(pow.f32 (pow.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (*.f32 (/.f32 sinTheta_i v) sinTheta_O)) 3) 1/3)
(pow.f32 (sqrt.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (*.f32 (/.f32 sinTheta_i v) sinTheta_O))) 2)
(sqrt.f32 (pow.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (*.f32 (/.f32 sinTheta_i v) sinTheta_O)) 2))
(log.f32 (exp.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (*.f32 (/.f32 sinTheta_i v) sinTheta_O))))
(log.f32 (+.f32 1 (expm1.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (*.f32 (/.f32 sinTheta_i v) sinTheta_O)))))
(cbrt.f32 (pow.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (*.f32 (/.f32 sinTheta_i v) sinTheta_O)) 3))
(expm1.f32 (log1p.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (*.f32 (/.f32 sinTheta_i v) sinTheta_O))))
(log1p.f32 (expm1.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (*.f32 (/.f32 sinTheta_i v) sinTheta_O))))
(exp.f32 (log.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (*.f32 (/.f32 sinTheta_i v) sinTheta_O))))
(exp.f32 (*.f32 (log.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (*.f32 (/.f32 sinTheta_i v) sinTheta_O))) 1))
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) (neg.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O)))
(fma.f32 1 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (neg.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O)))
(fma.f32 (/.f32 cosTheta_O v) cosTheta_i (neg.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O)))
(fma.f32 (pow.f32 (cbrt.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) 2) (cbrt.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (neg.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O)))
(fma.f32 (sqrt.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (sqrt.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (neg.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O)))
(fma.f32 (/.f32 cosTheta_i v) cosTheta_O (neg.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O)))

simplify260.0ms (2%)

Algorithm
egg-herbie
Rules
437×associate-*r*
400×fma-define
376×associate-*l*
352×times-frac
215×fma-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
074935641
1225233119
Stop Event
node limit
Counts
595 → 390
Calls
Call 1
Inputs
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(+.f32 (log.f32 1/2) (*.f32 -1 (log.f32 v)))
(+.f32 (log.f32 1/2) (*.f32 -1 (log.f32 v)))
(+.f32 (log.f32 1/2) (*.f32 -1 (log.f32 v)))
(+.f32 (log.f32 1/2) (*.f32 -1 (log.f32 v)))
(+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v)))
(+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v)))
(+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v)))
(+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v)))
(+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v)))
(+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v)))
(+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v)))
(+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v)))
(-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 1 (*.f32 sinTheta_O sinTheta_i))) v)
(-.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (+.f32 (*.f32 -1 (log.f32 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(-.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (+.f32 (*.f32 -1 (log.f32 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
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(+.f32 (fma.f32 (sqrt.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (sqrt.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (neg.f32 (*.f32 (cbrt.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O)) (pow.f32 (cbrt.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O)) 2)))) (fma.f32 (neg.f32 (cbrt.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O))) (pow.f32 (cbrt.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O)) 2) (*.f32 (cbrt.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O)) (pow.f32 (cbrt.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O)) 2))))
(+.f32 (fma.f32 (sqrt.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (sqrt.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (neg.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) (fma.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(+.f32 (fma.f32 (/.f32 cosTheta_i v) cosTheta_O (neg.f32 (*.f32 (/.f32 1 (/.f32 v sinTheta_O)) sinTheta_i))) (fma.f32 (neg.f32 (/.f32 1 (/.f32 v sinTheta_O))) sinTheta_i (*.f32 (/.f32 1 (/.f32 v sinTheta_O)) sinTheta_i)))
(+.f32 (fma.f32 (/.f32 cosTheta_i v) cosTheta_O (neg.f32 (*.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) 1))) (fma.f32 (neg.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O)) 1 (*.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) 1)))
(+.f32 (fma.f32 (/.f32 cosTheta_i v) cosTheta_O (neg.f32 (*.f32 (cbrt.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O)) (pow.f32 (cbrt.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O)) 2)))) (fma.f32 (neg.f32 (cbrt.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O))) (pow.f32 (cbrt.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O)) 2) (*.f32 (cbrt.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O)) (pow.f32 (cbrt.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O)) 2))))
(+.f32 (fma.f32 (/.f32 cosTheta_i v) cosTheta_O (neg.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) (fma.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(*.f32 1 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (*.f32 (/.f32 sinTheta_i v) sinTheta_O)))
(*.f32 (pow.f32 (cbrt.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (*.f32 (/.f32 sinTheta_i v) sinTheta_O))) 2) (cbrt.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (*.f32 (/.f32 sinTheta_i v) sinTheta_O))))
(*.f32 (sqrt.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (*.f32 (/.f32 sinTheta_i v) sinTheta_O))) (sqrt.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (*.f32 (/.f32 sinTheta_i v) sinTheta_O))))
(/.f32 (-.f32 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) 3) (pow.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) 3)) (+.f32 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) 2) (+.f32 (pow.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) 2) (/.f32 (*.f32 cosTheta_i sinTheta_i) (*.f32 (/.f32 v cosTheta_O) (/.f32 v sinTheta_O))))))
(/.f32 (-.f32 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) 2) (pow.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) 2)) (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (*.f32 (/.f32 sinTheta_i v) sinTheta_O)))
(/.f32 (-.f32 (*.f32 cosTheta_i (/.f32 v sinTheta_O)) (*.f32 (/.f32 v cosTheta_O) sinTheta_i)) (*.f32 (/.f32 v cosTheta_O) (/.f32 v sinTheta_O)))
(/.f32 (-.f32 (*.f32 cosTheta_i (/.f32 (/.f32 v sinTheta_O) sinTheta_i)) (*.f32 (/.f32 v cosTheta_O) 1)) (*.f32 (/.f32 v cosTheta_O) (/.f32 (/.f32 v sinTheta_O) sinTheta_i)))
(/.f32 (-.f32 (*.f32 cosTheta_i (neg.f32 (/.f32 v sinTheta_O))) (*.f32 (/.f32 v cosTheta_O) (neg.f32 sinTheta_i))) (*.f32 (/.f32 v cosTheta_O) (neg.f32 (/.f32 v sinTheta_O))))
(/.f32 (-.f32 (/.f32 v sinTheta_O) (*.f32 (/.f32 (/.f32 v cosTheta_O) cosTheta_i) sinTheta_i)) (*.f32 (/.f32 (/.f32 v cosTheta_O) cosTheta_i) (/.f32 v sinTheta_O)))
(/.f32 (-.f32 (/.f32 (/.f32 v sinTheta_O) sinTheta_i) (*.f32 (/.f32 (/.f32 v cosTheta_O) cosTheta_i) 1)) (*.f32 (/.f32 (/.f32 v cosTheta_O) cosTheta_i) (/.f32 (/.f32 v sinTheta_O) sinTheta_i)))
(/.f32 (-.f32 (*.f32 1 (neg.f32 (/.f32 v sinTheta_O))) (*.f32 (/.f32 (/.f32 v cosTheta_O) cosTheta_i) (neg.f32 sinTheta_i))) (*.f32 (/.f32 (/.f32 v cosTheta_O) cosTheta_i) (neg.f32 (/.f32 v sinTheta_O))))
(/.f32 (-.f32 (*.f32 (neg.f32 cosTheta_i) (/.f32 v sinTheta_O)) (*.f32 (neg.f32 (/.f32 v cosTheta_O)) sinTheta_i)) (*.f32 (neg.f32 (/.f32 v cosTheta_O)) (/.f32 v sinTheta_O)))
(/.f32 (-.f32 (*.f32 (neg.f32 cosTheta_i) (/.f32 (/.f32 v sinTheta_O) sinTheta_i)) (*.f32 (neg.f32 (/.f32 v cosTheta_O)) 1)) (*.f32 (neg.f32 (/.f32 v cosTheta_O)) (/.f32 (/.f32 v sinTheta_O) sinTheta_i)))
(/.f32 (-.f32 (*.f32 (neg.f32 cosTheta_i) (neg.f32 (/.f32 v sinTheta_O))) (*.f32 (neg.f32 (/.f32 v cosTheta_O)) (neg.f32 sinTheta_i))) (*.f32 (neg.f32 (/.f32 v cosTheta_O)) (neg.f32 (/.f32 v sinTheta_O))))
(/.f32 (-.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 v sinTheta_O)) (*.f32 v sinTheta_i)) (*.f32 v (/.f32 v sinTheta_O)))
(/.f32 (-.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (/.f32 v sinTheta_O) sinTheta_i)) (*.f32 v 1)) (*.f32 v (/.f32 (/.f32 v sinTheta_O) sinTheta_i)))
(/.f32 (-.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (neg.f32 (/.f32 v sinTheta_O))) (*.f32 v (neg.f32 sinTheta_i))) (*.f32 v (neg.f32 (/.f32 v sinTheta_O))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) 3) (pow.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) 3))) (neg.f32 (+.f32 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) 2) (+.f32 (pow.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) 2) (/.f32 (*.f32 cosTheta_i sinTheta_i) (*.f32 (/.f32 v cosTheta_O) (/.f32 v sinTheta_O)))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) 2) (pow.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) 2))) (neg.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (*.f32 (/.f32 sinTheta_i v) sinTheta_O))))
(/.f32 (+.f32 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) 3) (pow.f32 (neg.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O)) 3)) (+.f32 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) 2) (-.f32 (*.f32 (neg.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O)) (neg.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O))) (*.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (neg.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O))))))
(pow.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (*.f32 (/.f32 sinTheta_i v) sinTheta_O)) 1)
(pow.f32 (cbrt.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (*.f32 (/.f32 sinTheta_i v) sinTheta_O))) 3)
(pow.f32 (pow.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (*.f32 (/.f32 sinTheta_i v) sinTheta_O)) 3) 1/3)
(pow.f32 (sqrt.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (*.f32 (/.f32 sinTheta_i v) sinTheta_O))) 2)
(sqrt.f32 (pow.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (*.f32 (/.f32 sinTheta_i v) sinTheta_O)) 2))
(log.f32 (exp.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (*.f32 (/.f32 sinTheta_i v) sinTheta_O))))
(log.f32 (+.f32 1 (expm1.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (*.f32 (/.f32 sinTheta_i v) sinTheta_O)))))
(cbrt.f32 (pow.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (*.f32 (/.f32 sinTheta_i v) sinTheta_O)) 3))
(expm1.f32 (log1p.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (*.f32 (/.f32 sinTheta_i v) sinTheta_O))))
(log1p.f32 (expm1.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (*.f32 (/.f32 sinTheta_i v) sinTheta_O))))
(exp.f32 (log.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (*.f32 (/.f32 sinTheta_i v) sinTheta_O))))
(exp.f32 (*.f32 (log.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (*.f32 (/.f32 sinTheta_i v) sinTheta_O))) 1))
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) (neg.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O)))
(fma.f32 1 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (neg.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O)))
(fma.f32 (/.f32 cosTheta_O v) cosTheta_i (neg.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O)))
(fma.f32 (pow.f32 (cbrt.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) 2) (cbrt.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (neg.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O)))
(fma.f32 (sqrt.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (sqrt.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (neg.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O)))
(fma.f32 (/.f32 cosTheta_i v) cosTheta_O (neg.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O)))
Outputs
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 sinTheta_O (/.f32 v sinTheta_i))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 sinTheta_O (/.f32 v sinTheta_i))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 sinTheta_O (/.f32 v sinTheta_i))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 sinTheta_O (/.f32 v sinTheta_i))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 sinTheta_O (/.f32 v sinTheta_i))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 sinTheta_O (/.f32 v sinTheta_i))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 sinTheta_O (/.f32 v sinTheta_i))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 sinTheta_O (/.f32 v sinTheta_i))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 sinTheta_O (/.f32 v sinTheta_i))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 sinTheta_O (/.f32 v sinTheta_i))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 sinTheta_O (/.f32 v sinTheta_i))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 sinTheta_O (/.f32 v sinTheta_i))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 sinTheta_O (/.f32 v sinTheta_i))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 sinTheta_O (/.f32 v sinTheta_i))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 sinTheta_O (/.f32 v sinTheta_i))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 sinTheta_O (/.f32 v sinTheta_i))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 sinTheta_O (/.f32 v sinTheta_i))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 sinTheta_O (/.f32 v sinTheta_i))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 sinTheta_O (/.f32 v sinTheta_i))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 sinTheta_O (/.f32 v sinTheta_i))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 sinTheta_O (/.f32 v sinTheta_i))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 sinTheta_O (/.f32 v sinTheta_i))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 sinTheta_O (/.f32 v sinTheta_i))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 sinTheta_O (/.f32 v sinTheta_i))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 sinTheta_O (/.f32 v sinTheta_i))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 sinTheta_O (/.f32 v sinTheta_i))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 sinTheta_O (/.f32 v sinTheta_i))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 sinTheta_O (/.f32 v sinTheta_i))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 sinTheta_O (/.f32 v sinTheta_i))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 sinTheta_O (/.f32 v sinTheta_i))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 sinTheta_O (/.f32 v sinTheta_i))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 sinTheta_O (/.f32 v sinTheta_i))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 sinTheta_O (/.f32 v sinTheta_i))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 sinTheta_O (/.f32 v sinTheta_i))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 sinTheta_O (/.f32 v sinTheta_i))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 sinTheta_O (/.f32 v sinTheta_i))
(+.f32 (log.f32 1/2) (*.f32 -1 (log.f32 v)))
(log.f32 (/.f32 1/2 v))
(+.f32 (log.f32 1/2) (*.f32 -1 (log.f32 v)))
(log.f32 (/.f32 1/2 v))
(+.f32 (log.f32 1/2) (*.f32 -1 (log.f32 v)))
(log.f32 (/.f32 1/2 v))
(+.f32 (log.f32 1/2) (*.f32 -1 (log.f32 v)))
(log.f32 (/.f32 1/2 v))
(+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v)))
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(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)
(/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_i (neg.f32 sinTheta_O))) v)
(/.f32 (-.f32 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) 3) (pow.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) 3)) (+.f32 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) 2) (+.f32 (pow.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) 2) (/.f32 (*.f32 cosTheta_i sinTheta_i) (*.f32 (/.f32 v cosTheta_O) (/.f32 v sinTheta_O))))))
(/.f32 (-.f32 (pow.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) 3) (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) 3)) (+.f32 (pow.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) 2) (+.f32 (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) 2) (/.f32 (*.f32 cosTheta_i sinTheta_i) (/.f32 (/.f32 (pow.f32 v 2) sinTheta_O) cosTheta_O)))))
(/.f32 (-.f32 (pow.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) 3) (pow.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)) 3)) (+.f32 (pow.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) 2) (fma.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 sinTheta_O (/.f32 v sinTheta_i)) (pow.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)) 2))))
(/.f32 (-.f32 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) 2) (pow.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) 2)) (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (*.f32 (/.f32 sinTheta_i v) sinTheta_O)))
(/.f32 (-.f32 (pow.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) 2) (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) 2)) (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(/.f32 (-.f32 (pow.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) 2) (pow.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)) 2)) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (/.f32 sinTheta_O (/.f32 v sinTheta_i))))
(/.f32 (-.f32 (*.f32 cosTheta_i (/.f32 v sinTheta_O)) (*.f32 (/.f32 v cosTheta_O) sinTheta_i)) (*.f32 (/.f32 v cosTheta_O) (/.f32 v sinTheta_O)))
(/.f32 (-.f32 (/.f32 (*.f32 cosTheta_i v) sinTheta_O) (*.f32 sinTheta_i (/.f32 v cosTheta_O))) (/.f32 (/.f32 (pow.f32 v 2) sinTheta_O) cosTheta_O))
(/.f32 (-.f32 (*.f32 cosTheta_i (/.f32 v sinTheta_O)) (/.f32 (*.f32 v sinTheta_i) cosTheta_O)) (/.f32 (/.f32 (pow.f32 v 2) sinTheta_O) cosTheta_O))
(/.f32 (-.f32 (*.f32 cosTheta_i (/.f32 (/.f32 v sinTheta_O) sinTheta_i)) (*.f32 (/.f32 v cosTheta_O) 1)) (*.f32 (/.f32 v cosTheta_O) (/.f32 (/.f32 v sinTheta_O) sinTheta_i)))
(/.f32 (-.f32 (/.f32 (/.f32 (*.f32 cosTheta_i v) sinTheta_O) sinTheta_i) (/.f32 v cosTheta_O)) (/.f32 (/.f32 (/.f32 (pow.f32 v 2) sinTheta_O) cosTheta_O) sinTheta_i))
(/.f32 (-.f32 (*.f32 cosTheta_i (/.f32 (/.f32 v sinTheta_O) sinTheta_i)) (/.f32 v cosTheta_O)) (/.f32 (/.f32 (/.f32 (pow.f32 v 2) sinTheta_O) sinTheta_i) cosTheta_O))
(/.f32 (-.f32 (*.f32 cosTheta_i (neg.f32 (/.f32 v sinTheta_O))) (*.f32 (/.f32 v cosTheta_O) (neg.f32 sinTheta_i))) (*.f32 (/.f32 v cosTheta_O) (neg.f32 (/.f32 v sinTheta_O))))
(/.f32 (+.f32 (neg.f32 (/.f32 (*.f32 cosTheta_i v) sinTheta_O)) (*.f32 sinTheta_i (/.f32 v cosTheta_O))) (/.f32 (neg.f32 (/.f32 (pow.f32 v 2) sinTheta_O)) cosTheta_O))
(/.f32 (fma.f32 cosTheta_i (neg.f32 (/.f32 v sinTheta_O)) (/.f32 (*.f32 v sinTheta_i) cosTheta_O)) (/.f32 (/.f32 (neg.f32 (pow.f32 v 2)) sinTheta_O) cosTheta_O))
(/.f32 (-.f32 (/.f32 v sinTheta_O) (*.f32 (/.f32 (/.f32 v cosTheta_O) cosTheta_i) sinTheta_i)) (*.f32 (/.f32 (/.f32 v cosTheta_O) cosTheta_i) (/.f32 v sinTheta_O)))
(/.f32 (-.f32 (/.f32 v sinTheta_O) (*.f32 sinTheta_i (/.f32 v (*.f32 cosTheta_O cosTheta_i)))) (/.f32 (/.f32 (/.f32 (pow.f32 v 2) sinTheta_O) cosTheta_O) cosTheta_i))
(/.f32 (-.f32 (/.f32 v sinTheta_O) (/.f32 (/.f32 (*.f32 v sinTheta_i) cosTheta_O) cosTheta_i)) (/.f32 (/.f32 (/.f32 (pow.f32 v 2) sinTheta_O) cosTheta_O) cosTheta_i))
(/.f32 (-.f32 (/.f32 (/.f32 v sinTheta_O) sinTheta_i) (*.f32 (/.f32 (/.f32 v cosTheta_O) cosTheta_i) 1)) (*.f32 (/.f32 (/.f32 v cosTheta_O) cosTheta_i) (/.f32 (/.f32 v sinTheta_O) sinTheta_i)))
(/.f32 (-.f32 (/.f32 v (*.f32 sinTheta_O sinTheta_i)) (/.f32 v (*.f32 cosTheta_O cosTheta_i))) (/.f32 (/.f32 (/.f32 (/.f32 (pow.f32 v 2) sinTheta_O) cosTheta_O) cosTheta_i) sinTheta_i))
(/.f32 (-.f32 (/.f32 (/.f32 v sinTheta_O) sinTheta_i) (/.f32 v (*.f32 cosTheta_O cosTheta_i))) (/.f32 (/.f32 (/.f32 (/.f32 (pow.f32 v 2) sinTheta_O) sinTheta_i) cosTheta_O) cosTheta_i))
(/.f32 (-.f32 (*.f32 1 (neg.f32 (/.f32 v sinTheta_O))) (*.f32 (/.f32 (/.f32 v cosTheta_O) cosTheta_i) (neg.f32 sinTheta_i))) (*.f32 (/.f32 (/.f32 v cosTheta_O) cosTheta_i) (neg.f32 (/.f32 v sinTheta_O))))
(/.f32 (-.f32 (/.f32 (neg.f32 v) sinTheta_O) (/.f32 (*.f32 sinTheta_i (/.f32 (neg.f32 v) cosTheta_O)) cosTheta_i)) (/.f32 (/.f32 (neg.f32 (/.f32 (pow.f32 v 2) sinTheta_O)) cosTheta_O) cosTheta_i))
(/.f32 (fma.f32 -1 (/.f32 v sinTheta_O) (/.f32 (/.f32 (*.f32 v sinTheta_i) cosTheta_O) cosTheta_i)) (/.f32 (/.f32 (/.f32 (neg.f32 (pow.f32 v 2)) sinTheta_O) cosTheta_O) cosTheta_i))
(/.f32 (-.f32 (*.f32 (neg.f32 cosTheta_i) (/.f32 v sinTheta_O)) (*.f32 (neg.f32 (/.f32 v cosTheta_O)) sinTheta_i)) (*.f32 (neg.f32 (/.f32 v cosTheta_O)) (/.f32 v sinTheta_O)))
(/.f32 (+.f32 (neg.f32 (/.f32 (*.f32 cosTheta_i v) sinTheta_O)) (*.f32 sinTheta_i (/.f32 v cosTheta_O))) (/.f32 (neg.f32 (/.f32 (pow.f32 v 2) sinTheta_O)) cosTheta_O))
(/.f32 (fma.f32 cosTheta_i (neg.f32 (/.f32 v sinTheta_O)) (/.f32 (*.f32 v sinTheta_i) cosTheta_O)) (/.f32 (/.f32 (neg.f32 (pow.f32 v 2)) sinTheta_O) cosTheta_O))
(/.f32 (-.f32 (*.f32 (neg.f32 cosTheta_i) (/.f32 (/.f32 v sinTheta_O) sinTheta_i)) (*.f32 (neg.f32 (/.f32 v cosTheta_O)) 1)) (*.f32 (neg.f32 (/.f32 v cosTheta_O)) (/.f32 (/.f32 v sinTheta_O) sinTheta_i)))
(/.f32 (fma.f32 (neg.f32 cosTheta_i) (/.f32 v (*.f32 sinTheta_O sinTheta_i)) (/.f32 v cosTheta_O)) (/.f32 (/.f32 (neg.f32 (/.f32 (pow.f32 v 2) sinTheta_O)) cosTheta_O) sinTheta_i))
(/.f32 (fma.f32 (/.f32 (/.f32 v sinTheta_O) sinTheta_i) (neg.f32 cosTheta_i) (/.f32 v cosTheta_O)) (/.f32 (/.f32 (/.f32 (neg.f32 (pow.f32 v 2)) sinTheta_O) cosTheta_O) sinTheta_i))
(/.f32 (-.f32 (*.f32 (neg.f32 cosTheta_i) (neg.f32 (/.f32 v sinTheta_O))) (*.f32 (neg.f32 (/.f32 v cosTheta_O)) (neg.f32 sinTheta_i))) (*.f32 (neg.f32 (/.f32 v cosTheta_O)) (neg.f32 (/.f32 v sinTheta_O))))
(/.f32 (-.f32 (/.f32 (*.f32 cosTheta_i v) sinTheta_O) (*.f32 sinTheta_i (/.f32 v cosTheta_O))) (/.f32 (/.f32 (pow.f32 v 2) sinTheta_O) cosTheta_O))
(/.f32 (-.f32 (*.f32 cosTheta_i (/.f32 v sinTheta_O)) (/.f32 (*.f32 v sinTheta_i) cosTheta_O)) (/.f32 (/.f32 (pow.f32 v 2) sinTheta_O) cosTheta_O))
(/.f32 (-.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 v sinTheta_O)) (*.f32 v sinTheta_i)) (*.f32 v (/.f32 v sinTheta_O)))
(/.f32 (-.f32 (*.f32 cosTheta_O (/.f32 (*.f32 cosTheta_i v) sinTheta_O)) (*.f32 v sinTheta_i)) (/.f32 (pow.f32 v 2) sinTheta_O))
(/.f32 (-.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (/.f32 v sinTheta_O))) (*.f32 v sinTheta_i)) (/.f32 (pow.f32 v 2) sinTheta_O))
(/.f32 (-.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (/.f32 v sinTheta_O) sinTheta_i)) (*.f32 v 1)) (*.f32 v (/.f32 (/.f32 v sinTheta_O) sinTheta_i)))
(/.f32 (-.f32 (/.f32 (*.f32 cosTheta_O (/.f32 (*.f32 cosTheta_i v) sinTheta_O)) sinTheta_i) v) (/.f32 (/.f32 (pow.f32 v 2) sinTheta_O) sinTheta_i))
(/.f32 (-.f32 (*.f32 (*.f32 (/.f32 (/.f32 v sinTheta_O) sinTheta_i) cosTheta_O) cosTheta_i) v) (/.f32 (/.f32 (pow.f32 v 2) sinTheta_O) sinTheta_i))
(/.f32 (-.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (neg.f32 (/.f32 v sinTheta_O))) (*.f32 v (neg.f32 sinTheta_i))) (*.f32 v (neg.f32 (/.f32 v sinTheta_O))))
(/.f32 (-.f32 (*.f32 cosTheta_O (neg.f32 (/.f32 (*.f32 cosTheta_i v) sinTheta_O))) (*.f32 v (neg.f32 sinTheta_i))) (neg.f32 (/.f32 (pow.f32 v 2) sinTheta_O)))
(/.f32 (fma.f32 cosTheta_O (*.f32 cosTheta_i (neg.f32 (/.f32 v sinTheta_O))) (*.f32 v sinTheta_i)) (/.f32 (neg.f32 (pow.f32 v 2)) sinTheta_O))
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) 3) (pow.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) 3))) (neg.f32 (+.f32 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) 2) (+.f32 (pow.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) 2) (/.f32 (*.f32 cosTheta_i sinTheta_i) (*.f32 (/.f32 v cosTheta_O) (/.f32 v sinTheta_O)))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) 3) (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) 3))) (neg.f32 (+.f32 (pow.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) 2) (+.f32 (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) 2) (/.f32 (*.f32 cosTheta_i sinTheta_i) (/.f32 (/.f32 (pow.f32 v 2) sinTheta_O) cosTheta_O))))))
(*.f32 1 (/.f32 (-.f32 (pow.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) 3) (pow.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)) 3)) (+.f32 (pow.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) 2) (fma.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 sinTheta_O (/.f32 v sinTheta_i)) (pow.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)) 2)))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) 2) (pow.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) 2))) (neg.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (*.f32 (/.f32 sinTheta_i v) sinTheta_O))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) 2) (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) 2))) (neg.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))))
(*.f32 1 (/.f32 (-.f32 (pow.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) 2) (pow.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)) 2)) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (/.f32 sinTheta_O (/.f32 v sinTheta_i)))))
(/.f32 (+.f32 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) 3) (pow.f32 (neg.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O)) 3)) (+.f32 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) 2) (-.f32 (*.f32 (neg.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O)) (neg.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O))) (*.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (neg.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O))))))
(/.f32 (-.f32 (pow.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) 3) (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) 3)) (+.f32 (pow.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) 2) (+.f32 (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) 2) (/.f32 (*.f32 cosTheta_i sinTheta_i) (/.f32 (/.f32 (pow.f32 v 2) sinTheta_O) cosTheta_O)))))
(/.f32 (-.f32 (pow.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) 3) (pow.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)) 3)) (+.f32 (pow.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) 2) (fma.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 sinTheta_O (/.f32 v sinTheta_i)) (pow.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)) 2))))
(pow.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (*.f32 (/.f32 sinTheta_i v) sinTheta_O)) 1)
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)
(/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_i (neg.f32 sinTheta_O))) v)
(pow.f32 (cbrt.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (*.f32 (/.f32 sinTheta_i v) sinTheta_O))) 3)
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)
(/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_i (neg.f32 sinTheta_O))) v)
(pow.f32 (pow.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (*.f32 (/.f32 sinTheta_i v) sinTheta_O)) 3) 1/3)
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)
(/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_i (neg.f32 sinTheta_O))) v)
(pow.f32 (sqrt.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (*.f32 (/.f32 sinTheta_i v) sinTheta_O))) 2)
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)
(/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_i (neg.f32 sinTheta_O))) v)
(sqrt.f32 (pow.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (*.f32 (/.f32 sinTheta_i v) sinTheta_O)) 2))
(sqrt.f32 (pow.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) 2))
(fabs.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_i (neg.f32 sinTheta_O))) v))
(log.f32 (exp.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (*.f32 (/.f32 sinTheta_i v) sinTheta_O))))
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)
(/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_i (neg.f32 sinTheta_O))) v)
(log.f32 (+.f32 1 (expm1.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (*.f32 (/.f32 sinTheta_i v) sinTheta_O)))))
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)
(/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_i (neg.f32 sinTheta_O))) v)
(cbrt.f32 (pow.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (*.f32 (/.f32 sinTheta_i v) sinTheta_O)) 3))
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)
(/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_i (neg.f32 sinTheta_O))) v)
(expm1.f32 (log1p.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (*.f32 (/.f32 sinTheta_i v) sinTheta_O))))
(expm1.f32 (log1p.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)))
(expm1.f32 (log1p.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_i (neg.f32 sinTheta_O))) v)))
(log1p.f32 (expm1.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (*.f32 (/.f32 sinTheta_i v) sinTheta_O))))
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)
(/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_i (neg.f32 sinTheta_O))) v)
(exp.f32 (log.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (*.f32 (/.f32 sinTheta_i v) sinTheta_O))))
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)
(/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_i (neg.f32 sinTheta_O))) v)
(exp.f32 (*.f32 (log.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (*.f32 (/.f32 sinTheta_i v) sinTheta_O))) 1))
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)
(/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_i (neg.f32 sinTheta_O))) v)
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) (neg.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O)))
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)
(/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_i (neg.f32 sinTheta_O))) v)
(fma.f32 1 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (neg.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O)))
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)
(/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_i (neg.f32 sinTheta_O))) v)
(fma.f32 (/.f32 cosTheta_O v) cosTheta_i (neg.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O)))
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)
(/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_i (neg.f32 sinTheta_O))) v)
(fma.f32 (pow.f32 (cbrt.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) 2) (cbrt.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (neg.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O)))
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)
(/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_i (neg.f32 sinTheta_O))) v)
(fma.f32 (sqrt.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (sqrt.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (neg.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O)))
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)
(/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_i (neg.f32 sinTheta_O))) v)
(fma.f32 (/.f32 cosTheta_i v) cosTheta_O (neg.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O)))
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)
(/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_i (neg.f32 sinTheta_O))) v)

eval223.0ms (1.8%)

Compiler

Compiled 14970 to 7789 computations (48% saved)

prune90.0ms (0.7%)

Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New42210432
Fresh000
Picked202
Done000
Total42410434
Accuracy
99.8%
Counts
434 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.3%
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 (/.f32 -1 v) 6931/10000))))
99.3%
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (-.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 1 (/.f32 (/.f32 v sinTheta_O) sinTheta_i))) (+.f32 (/.f32 -1 v) 6931/10000))))
99.7%
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))
4.6%
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
99.2%
(exp.f32 (fma.f32 (pow.f32 (cbrt.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))) 2) (cbrt.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))) (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000)))
97.5%
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (*.f32 sinTheta_O sinTheta_i) 1)) v))
99.1%
(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 1 v)))
99.4%
(exp.f32 (+.f32 (-.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (+.f32 (/.f32 1 (/.f32 (/.f32 v sinTheta_O) sinTheta_i)) (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
11.2%
(exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O)))
11.2%
(exp.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
Compiler

Compiled 450 to 324 computations (28% saved)

localize564.0ms (4.4%)

Localize:

Found 16 expressions with local error:

NewAccuracyProgram
99.8%
(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 1 v)))
99.8%
(-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 1 v))
99.6%
(log.f32 (/.f32 1/2 v))
75.5%
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
99.8%
(-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))
99.7%
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 (/.f32 -1 v) 6931/10000)))
99.6%
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 (/.f32 -1 v) 6931/10000))))
88.1%
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)
100.0%
(*.f32 sinTheta_O sinTheta_i)
99.9%
(exp.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
77.1%
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
99.0%
(/.f32 (exp.f32 6931/10000) v)
100.0%
(*.f32 sinTheta_O sinTheta_i)
99.9%
(-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
99.7%
(exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
77.1%
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
Compiler

Compiled 298 to 135 computations (54.7% saved)

series110.0ms (0.9%)

Counts
15 → 318
Calls

144 calls:

TimeVariablePointExpression
4.0ms
v
@0
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)
2.0ms
sinTheta_O
@-inf
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 (/.f32 -1 v) 6931/10000)))
2.0ms
v
@inf
(exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
2.0ms
v
@-inf
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 (/.f32 -1 v) 6931/10000))))
2.0ms
sinTheta_O
@-inf
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)

rewrite144.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
350×log1p-expm1-u
350×expm1-log1p-u
346×add-exp-log
345×add-log-exp
344×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
043570
1750566
Stop Event
node limit
Counts
15 → 349
Calls
Call 1
Inputs
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(*.f32 sinTheta_O sinTheta_i)
(/.f32 (exp.f32 6931/10000) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(exp.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(*.f32 sinTheta_O sinTheta_i)
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 (/.f32 -1 v) 6931/10000))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 (/.f32 -1 v) 6931/10000)))
(-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 1 v))
(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 1 v)))
Outputs
(+.f32 0 (/.f32 sinTheta_O (/.f32 v sinTheta_i)))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)))) 2)) (log.f32 (cbrt.f32 (exp.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i))))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i))))) (log.f32 (sqrt.f32 (exp.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i))))))
(-.f32 (exp.f32 (log1p.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)))) 1)
(*.f32 (*.f32 sinTheta_O sinTheta_i) (/.f32 1 v))
(*.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)) -1)
(*.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)) (log.f32 (exp.f32 -1)))
(*.f32 1 (/.f32 sinTheta_O (/.f32 v sinTheta_i)))
(*.f32 -1 (/.f32 sinTheta_O (/.f32 v sinTheta_i)))
(*.f32 (pow.f32 (cbrt.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i))) 2) (cbrt.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i))))
(*.f32 (sqrt.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i))) (sqrt.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i))))
(pow.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)) 1)
(pow.f32 (cbrt.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i))) 3)
(pow.f32 (pow.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)) 3) 1/3)
(pow.f32 (sqrt.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i))) 2)
(pow.f32 (/.f32 v (*.f32 sinTheta_O sinTheta_i)) -1)
(neg.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)))
(sqrt.f32 (pow.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)) 2))
(log.f32 (exp.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i))))
(log.f32 (+.f32 1 (expm1.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)))))
(cbrt.f32 (pow.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)) 3))
(expm1.f32 (log1p.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i))))
(log1p.f32 (expm1.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i))))
(exp.f32 (log.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i))))
(exp.f32 (*.f32 (log.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i))) 1))
(-.f32 (exp.f32 (log1p.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)) (/.f32 1 v)))))) 1)
(*.f32 1 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)) (/.f32 1 v)))))
(*.f32 (exp.f32 6931/10000) (exp.f32 (neg.f32 (+.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)) (/.f32 1 v)))))
(*.f32 (cbrt.f32 (pow.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)) (/.f32 1 v)))) 2)) (cbrt.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)) (/.f32 1 v))))))
(*.f32 (sqrt.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)) (/.f32 1 v))))) (sqrt.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)) (/.f32 1 v))))))
(/.f32 (exp.f32 6931/10000) (exp.f32 (+.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)) (/.f32 1 v))))
(/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (exp.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i))))
(pow.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)) (/.f32 1 v)))) 1)
(pow.f32 (cbrt.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)) (/.f32 1 v))))) 3)
(pow.f32 (pow.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)) (/.f32 1 v)))) 3) 1/3)
(pow.f32 (sqrt.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)) (/.f32 1 v))))) 2)
(pow.f32 (exp.f32 1) (-.f32 6931/10000 (+.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)) (/.f32 1 v))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (-.f32 6931/10000 (+.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)) (/.f32 1 v)))) 2)) (cbrt.f32 (-.f32 6931/10000 (+.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)) (/.f32 1 v)))))
(pow.f32 (exp.f32 (sqrt.f32 (-.f32 6931/10000 (+.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)) (/.f32 1 v))))) (sqrt.f32 (-.f32 6931/10000 (+.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)) (/.f32 1 v)))))
(sqrt.f32 (pow.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)) (/.f32 1 v)))) 2))
(log.f32 (exp.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)) (/.f32 1 v))))))
(log.f32 (+.f32 1 (expm1.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)) (/.f32 1 v)))))))
(cbrt.f32 (pow.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)) (/.f32 1 v)))) 3))
(expm1.f32 (log1p.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)) (/.f32 1 v))))))
(log1p.f32 (expm1.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)) (/.f32 1 v))))))
(+.f32 6931/10000 (neg.f32 (+.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)) (/.f32 1 v))))
(+.f32 0 (-.f32 6931/10000 (+.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)) (/.f32 1 v))))
(+.f32 (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)) (/.f32 1 v)))) 2))) (log.f32 (cbrt.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)) (/.f32 1 v)))))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)) (/.f32 1 v)))))) (log.f32 (sqrt.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)) (/.f32 1 v)))))))
(*.f32 1 (-.f32 6931/10000 (+.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)) (/.f32 1 v))))
(*.f32 (pow.f32 (cbrt.f32 (-.f32 6931/10000 (+.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)) (/.f32 1 v)))) 2) (cbrt.f32 (-.f32 6931/10000 (+.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)) (/.f32 1 v)))))
(*.f32 (sqrt.f32 (-.f32 6931/10000 (+.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)) (/.f32 1 v)))) (sqrt.f32 (-.f32 6931/10000 (+.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)) (/.f32 1 v)))))
(/.f32 (-.f32 48038761/100000000 (pow.f32 (+.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)) (/.f32 1 v)) 2)) (+.f32 6931/10000 (+.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)) (/.f32 1 v))))
(/.f32 (-.f32 332956652491/1000000000000 (pow.f32 (+.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)) (/.f32 1 v)) 3)) (+.f32 48038761/100000000 (+.f32 (pow.f32 (+.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)) (/.f32 1 v)) 2) (*.f32 6931/10000 (+.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)) (/.f32 1 v))))))
(pow.f32 (-.f32 6931/10000 (+.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)) (/.f32 1 v))) 1)
(pow.f32 (cbrt.f32 (-.f32 6931/10000 (+.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)) (/.f32 1 v)))) 3)
(pow.f32 (pow.f32 (-.f32 6931/10000 (+.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)) (/.f32 1 v))) 3) 1/3)
(pow.f32 (sqrt.f32 (-.f32 6931/10000 (+.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)) (/.f32 1 v)))) 2)
(sqrt.f32 (pow.f32 (-.f32 6931/10000 (+.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)) (/.f32 1 v))) 2))
(log.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)) (/.f32 1 v)))))
(log.f32 (+.f32 1 (expm1.f32 (-.f32 6931/10000 (+.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)) (/.f32 1 v))))))
(cbrt.f32 (pow.f32 (-.f32 6931/10000 (+.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)) (/.f32 1 v))) 3))
(expm1.f32 (log1p.f32 (-.f32 6931/10000 (+.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)) (/.f32 1 v)))))
(log1p.f32 (expm1.f32 (-.f32 6931/10000 (+.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)) (/.f32 1 v)))))
(exp.f32 (log.f32 (-.f32 6931/10000 (+.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)) (/.f32 1 v)))))
(exp.f32 (*.f32 (log.f32 (-.f32 6931/10000 (+.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)) (/.f32 1 v)))) 1))
(-.f32 (exp.f32 (log1p.f32 (*.f32 sinTheta_O sinTheta_i))) 1)
(pow.f32 (*.f32 sinTheta_O sinTheta_i) 1)
(pow.f32 (cbrt.f32 (*.f32 sinTheta_O sinTheta_i)) 3)
(pow.f32 (sqrt.f32 (*.f32 sinTheta_O sinTheta_i)) 2)
(pow.f32 (pow.f32 (*.f32 sinTheta_O sinTheta_i) 3) 1/3)
(sqrt.f32 (pow.f32 (*.f32 sinTheta_O sinTheta_i) 2))
(log.f32 (pow.f32 (exp.f32 sinTheta_i) sinTheta_O))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 sinTheta_O sinTheta_i))))
(cbrt.f32 (pow.f32 (*.f32 sinTheta_O sinTheta_i) 3))
(expm1.f32 (log1p.f32 (*.f32 sinTheta_O sinTheta_i)))
(log1p.f32 (expm1.f32 (*.f32 sinTheta_O sinTheta_i)))
(exp.f32 (log.f32 (*.f32 sinTheta_O sinTheta_i)))
(exp.f32 (*.f32 (log.f32 (*.f32 sinTheta_O sinTheta_i)) 1))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (exp.f32 6931/10000) v))) 1)
(*.f32 1 (/.f32 (exp.f32 6931/10000) v))
(*.f32 (exp.f32 6931/10000) (/.f32 1 v))
(*.f32 (pow.f32 (cbrt.f32 (/.f32 (exp.f32 6931/10000) v)) 2) (cbrt.f32 (/.f32 (exp.f32 6931/10000) v)))
(*.f32 (sqrt.f32 (/.f32 (exp.f32 6931/10000) v)) (sqrt.f32 (/.f32 (exp.f32 6931/10000) v)))
(pow.f32 (/.f32 (exp.f32 6931/10000) v) 1)
(pow.f32 (cbrt.f32 (/.f32 (exp.f32 6931/10000) v)) 3)
(pow.f32 (pow.f32 (/.f32 (exp.f32 6931/10000) v) 3) 1/3)
(pow.f32 (sqrt.f32 (/.f32 (exp.f32 6931/10000) v)) 2)
(pow.f32 (/.f32 v (exp.f32 6931/10000)) -1)
(sqrt.f32 (pow.f32 (/.f32 (exp.f32 6931/10000) v) 2))
(log.f32 (exp.f32 (/.f32 (exp.f32 6931/10000) v)))
(log.f32 (+.f32 1 (expm1.f32 (/.f32 (exp.f32 6931/10000) v))))
(cbrt.f32 (pow.f32 (/.f32 (exp.f32 6931/10000) v) 3))
(cbrt.f32 (*.f32 (pow.f32 (exp.f32 6931/10000) 3) (pow.f32 v -3)))
(cbrt.f32 (/.f32 (pow.f32 (exp.f32 6931/10000) 3) (pow.f32 v 3)))
(expm1.f32 (log1p.f32 (/.f32 (exp.f32 6931/10000) v)))
(log1p.f32 (expm1.f32 (/.f32 (exp.f32 6931/10000) v)))
(exp.f32 (-.f32 6931/10000 (log.f32 v)))
(exp.f32 (*.f32 (-.f32 6931/10000 (log.f32 v)) 1))
(+.f32 0 (/.f32 sinTheta_O (/.f32 v sinTheta_i)))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)))) 2)) (log.f32 (cbrt.f32 (exp.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i))))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i))))) (log.f32 (sqrt.f32 (exp.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i))))))
(-.f32 (exp.f32 (log1p.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)))) 1)
(*.f32 (*.f32 sinTheta_O sinTheta_i) (/.f32 1 v))
(*.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)) -1)
(*.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)) (log.f32 (exp.f32 -1)))
(*.f32 1 (/.f32 sinTheta_O (/.f32 v sinTheta_i)))
(*.f32 -1 (/.f32 sinTheta_O (/.f32 v sinTheta_i)))
(*.f32 (pow.f32 (cbrt.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i))) 2) (cbrt.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i))))
(*.f32 (sqrt.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i))) (sqrt.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i))))
(pow.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)) 1)
(pow.f32 (cbrt.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i))) 3)
(pow.f32 (pow.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)) 3) 1/3)
(pow.f32 (sqrt.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i))) 2)
(pow.f32 (/.f32 v (*.f32 sinTheta_O sinTheta_i)) -1)
(neg.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)))
(sqrt.f32 (pow.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)) 2))
(log.f32 (exp.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i))))
(log.f32 (+.f32 1 (expm1.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)))))
(cbrt.f32 (pow.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)) 3))
(expm1.f32 (log1p.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i))))
(log1p.f32 (expm1.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i))))
(exp.f32 (log.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i))))
(exp.f32 (*.f32 (log.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i))) 1))
(-.f32 (exp.f32 (log1p.f32 (exp.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i))))) 1)
(*.f32 1 (exp.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i))))
(*.f32 (pow.f32 (cbrt.f32 (exp.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)))) 2) (cbrt.f32 (exp.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)))))
(*.f32 (sqrt.f32 (exp.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)))) (sqrt.f32 (exp.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)))))
(/.f32 1 (exp.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i))))
(pow.f32 (exp.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i))) 1)
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(*.f32 (sqrt.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (+.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (log.f32 (/.f32 1/2 v))) (/.f32 1 v))))) (sqrt.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (+.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (log.f32 (/.f32 1/2 v))) (/.f32 1 v))))))
(/.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (log.f32 (/.f32 1/2 v))))) (exp.f32 (/.f32 1 v)))
(pow.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (+.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (log.f32 (/.f32 1/2 v))) (/.f32 1 v)))) 1)
(pow.f32 (cbrt.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (+.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (log.f32 (/.f32 1/2 v))) (/.f32 1 v))))) 3)
(pow.f32 (pow.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (+.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (log.f32 (/.f32 1/2 v))) (/.f32 1 v)))) 3) 1/3)
(pow.f32 (sqrt.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (+.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (log.f32 (/.f32 1/2 v))) (/.f32 1 v))))) 2)
(pow.f32 (exp.f32 1) (+.f32 6931/10000 (-.f32 (+.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (log.f32 (/.f32 1/2 v))) (/.f32 1 v))))
(pow.f32 (exp.f32 (cbrt.f32 (pow.f32 (+.f32 6931/10000 (-.f32 (+.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (log.f32 (/.f32 1/2 v))) (/.f32 1 v))) 2))) (cbrt.f32 (+.f32 6931/10000 (-.f32 (+.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (log.f32 (/.f32 1/2 v))) (/.f32 1 v)))))
(pow.f32 (exp.f32 (sqrt.f32 (+.f32 6931/10000 (-.f32 (+.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (log.f32 (/.f32 1/2 v))) (/.f32 1 v))))) (sqrt.f32 (+.f32 6931/10000 (-.f32 (+.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (log.f32 (/.f32 1/2 v))) (/.f32 1 v)))))
(sqrt.f32 (pow.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (+.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (log.f32 (/.f32 1/2 v))) (/.f32 1 v)))) 2))
(log.f32 (exp.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (+.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (log.f32 (/.f32 1/2 v))) (/.f32 1 v))))))
(log.f32 (+.f32 1 (expm1.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (+.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (log.f32 (/.f32 1/2 v))) (/.f32 1 v)))))))
(cbrt.f32 (pow.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (+.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (log.f32 (/.f32 1/2 v))) (/.f32 1 v)))) 3))
(expm1.f32 (log1p.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (+.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (log.f32 (/.f32 1/2 v))) (/.f32 1 v))))))
(log1p.f32 (expm1.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (+.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (log.f32 (/.f32 1/2 v))) (/.f32 1 v))))))

simplify291.0ms (2.3%)

Algorithm
egg-herbie
Rules
630×associate-*r*
576×fma-define
362×times-frac
271×sqr-pow
233×associate-+r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
095840895
1255535546
Stop Event
node limit
Counts
667 → 615
Calls
Call 1
Inputs
(exp.f32 6931/10000)
(+.f32 (exp.f32 6931/10000) (*.f32 -1 (/.f32 (*.f32 (exp.f32 6931/10000) (+.f32 1 (*.f32 sinTheta_O sinTheta_i))) v)))
(+.f32 (exp.f32 6931/10000) (+.f32 (*.f32 -1 (/.f32 (*.f32 (exp.f32 6931/10000) (+.f32 1 (*.f32 sinTheta_O sinTheta_i))) v)) (*.f32 1/2 (/.f32 (*.f32 (exp.f32 6931/10000) (pow.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) 2)) (pow.f32 v 2)))))
(+.f32 (exp.f32 6931/10000) (+.f32 (*.f32 -1 (/.f32 (*.f32 (exp.f32 6931/10000) (+.f32 1 (*.f32 sinTheta_O sinTheta_i))) v)) (+.f32 (*.f32 -1/6 (/.f32 (*.f32 (exp.f32 6931/10000) (pow.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) 3)) (pow.f32 v 3))) (*.f32 1/2 (/.f32 (*.f32 (exp.f32 6931/10000) (pow.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) 2)) (pow.f32 v 2))))))
(exp.f32 6931/10000)
(+.f32 (exp.f32 6931/10000) (*.f32 -1 (/.f32 (*.f32 (exp.f32 6931/10000) (-.f32 1 (*.f32 -1 (*.f32 sinTheta_O sinTheta_i)))) v)))
(+.f32 (exp.f32 6931/10000) (+.f32 (*.f32 -1 (/.f32 (*.f32 (exp.f32 6931/10000) (-.f32 1 (*.f32 -1 (*.f32 sinTheta_O sinTheta_i)))) v)) (*.f32 1/2 (/.f32 (*.f32 (exp.f32 6931/10000) (pow.f32 (-.f32 1 (*.f32 -1 (*.f32 sinTheta_O sinTheta_i))) 2)) (pow.f32 v 2)))))
(+.f32 (exp.f32 6931/10000) (+.f32 (*.f32 -1 (/.f32 (*.f32 (exp.f32 6931/10000) (-.f32 1 (*.f32 -1 (*.f32 sinTheta_O sinTheta_i)))) v)) (+.f32 (*.f32 -1/6 (/.f32 (*.f32 (exp.f32 6931/10000) (pow.f32 (-.f32 1 (*.f32 -1 (*.f32 sinTheta_O sinTheta_i))) 3)) (pow.f32 v 3))) (*.f32 1/2 (/.f32 (*.f32 (exp.f32 6931/10000) (pow.f32 (-.f32 1 (*.f32 -1 (*.f32 sinTheta_O sinTheta_i))) 2)) (pow.f32 v 2))))))
(exp.f32 (-.f32 6931/10000 (/.f32 1 v)))
(+.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (*.f32 -1 (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) v)))
(+.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) v)) (*.f32 1/2 (/.f32 (*.f32 (pow.f32 sinTheta_O 2) (*.f32 (pow.f32 sinTheta_i 2) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 2)))))
(+.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) v)) (+.f32 (*.f32 -1/6 (/.f32 (*.f32 (pow.f32 sinTheta_O 3) (*.f32 (pow.f32 sinTheta_i 3) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 3))) (*.f32 1/2 (/.f32 (*.f32 (pow.f32 sinTheta_O 2) (*.f32 (pow.f32 sinTheta_i 2) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 2))))))
(exp.f32 (-.f32 6931/10000 (/.f32 1 v)))
(+.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (*.f32 -1 (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) v)))
(+.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) v)) (*.f32 1/2 (/.f32 (*.f32 (pow.f32 sinTheta_O 2) (*.f32 (pow.f32 sinTheta_i 2) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 2)))))
(+.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) v)) (+.f32 (*.f32 -1/6 (/.f32 (*.f32 (pow.f32 sinTheta_O 3) (*.f32 (pow.f32 sinTheta_i 3) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 3))) (*.f32 1/2 (/.f32 (*.f32 (pow.f32 sinTheta_O 2) (*.f32 (pow.f32 sinTheta_i 2) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 2))))))
(*.f32 -1 (/.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) v))
(+.f32 6931/10000 (*.f32 -1 (/.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) v)))
(+.f32 6931/10000 (*.f32 -1 (/.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) v)))
(+.f32 6931/10000 (*.f32 -1 (/.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) v)))
6931/10000
(+.f32 6931/10000 (*.f32 -1 (/.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) v)))
(+.f32 6931/10000 (*.f32 -1 (/.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) v)))
(+.f32 6931/10000 (*.f32 -1 (/.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) v)))
6931/10000
(+.f32 6931/10000 (*.f32 -1 (/.f32 (-.f32 1 (*.f32 -1 (*.f32 sinTheta_O sinTheta_i))) v)))
(+.f32 6931/10000 (*.f32 -1 (/.f32 (-.f32 1 (*.f32 -1 (*.f32 sinTheta_O sinTheta_i))) v)))
(+.f32 6931/10000 (*.f32 -1 (/.f32 (-.f32 1 (*.f32 -1 (*.f32 sinTheta_O sinTheta_i))) v)))
(-.f32 6931/10000 (/.f32 1 v))
(-.f32 (+.f32 6931/10000 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (/.f32 1 v))
(-.f32 (+.f32 6931/10000 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (/.f32 1 v))
(-.f32 (+.f32 6931/10000 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (/.f32 1 v))
(*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(-.f32 (+.f32 6931/10000 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (/.f32 1 v))
(-.f32 (+.f32 6931/10000 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (/.f32 1 v))
(-.f32 (+.f32 6931/10000 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (/.f32 1 v))
(*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(-.f32 (+.f32 6931/10000 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (/.f32 1 v))
(-.f32 (+.f32 6931/10000 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (/.f32 1 v))
(-.f32 (+.f32 6931/10000 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (/.f32 1 v))
(-.f32 6931/10000 (/.f32 1 v))
(-.f32 (+.f32 6931/10000 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (/.f32 1 v))
(-.f32 (+.f32 6931/10000 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (/.f32 1 v))
(-.f32 (+.f32 6931/10000 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (/.f32 1 v))
(*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(-.f32 (+.f32 6931/10000 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (/.f32 1 v))
(-.f32 (+.f32 6931/10000 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (/.f32 1 v))
(-.f32 (+.f32 6931/10000 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (/.f32 1 v))
(*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(-.f32 (+.f32 6931/10000 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (/.f32 1 v))
(-.f32 (+.f32 6931/10000 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (/.f32 1 v))
(-.f32 (+.f32 6931/10000 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (/.f32 1 v))
1
(+.f32 1 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(+.f32 1 (+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (*.f32 1/2 (/.f32 (*.f32 (pow.f32 sinTheta_O 2) (pow.f32 sinTheta_i 2)) (pow.f32 v 2)))))
(+.f32 1 (+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (+.f32 (*.f32 -1/6 (/.f32 (*.f32 (pow.f32 sinTheta_O 3) (pow.f32 sinTheta_i 3)) (pow.f32 v 3))) (*.f32 1/2 (/.f32 (*.f32 (pow.f32 sinTheta_O 2) (pow.f32 sinTheta_i 2)) (pow.f32 v 2))))))
1
(+.f32 1 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(+.f32 1 (+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (*.f32 1/2 (/.f32 (*.f32 (pow.f32 sinTheta_O 2) (pow.f32 sinTheta_i 2)) (pow.f32 v 2)))))
(+.f32 1 (+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (+.f32 (*.f32 -1/6 (/.f32 (*.f32 (pow.f32 sinTheta_O 3) (pow.f32 sinTheta_i 3)) (pow.f32 v 3))) (*.f32 1/2 (/.f32 (*.f32 (pow.f32 sinTheta_O 2) (pow.f32 sinTheta_i 2)) (pow.f32 v 2))))))
1
(+.f32 1 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(+.f32 1 (+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (*.f32 1/2 (/.f32 (*.f32 (pow.f32 sinTheta_O 2) (pow.f32 sinTheta_i 2)) (pow.f32 v 2)))))
(+.f32 1 (+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (+.f32 (*.f32 -1/6 (/.f32 (*.f32 (pow.f32 sinTheta_O 3) (pow.f32 sinTheta_i 3)) (pow.f32 v 3))) (*.f32 1/2 (/.f32 (*.f32 (pow.f32 sinTheta_O 2) (pow.f32 sinTheta_i 2)) (pow.f32 v 2))))))
1
(+.f32 1 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(+.f32 1 (+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (*.f32 1/2 (/.f32 (*.f32 (pow.f32 sinTheta_O 2) (pow.f32 sinTheta_i 2)) (pow.f32 v 2)))))
(+.f32 1 (+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (+.f32 (*.f32 -1/6 (/.f32 (*.f32 (pow.f32 sinTheta_O 3) (pow.f32 sinTheta_i 3)) (pow.f32 v 3))) (*.f32 1/2 (/.f32 (*.f32 (pow.f32 sinTheta_O 2) (pow.f32 sinTheta_i 2)) (pow.f32 v 2))))))
(*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))
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(*.f32 1 (exp.f32 (+.f32 6931/10000 (-.f32 (+.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (log.f32 (/.f32 1/2 v))) (/.f32 1 v)))))
(*.f32 (exp.f32 6931/10000) (exp.f32 (-.f32 (+.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (log.f32 (/.f32 1/2 v))) (/.f32 1 v))))
(*.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (log.f32 (/.f32 1/2 v))))) (exp.f32 (neg.f32 (/.f32 1 v))))
(*.f32 (pow.f32 (cbrt.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (+.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (log.f32 (/.f32 1/2 v))) (/.f32 1 v))))) 2) (cbrt.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (+.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (log.f32 (/.f32 1/2 v))) (/.f32 1 v))))))
(*.f32 (sqrt.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (+.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (log.f32 (/.f32 1/2 v))) (/.f32 1 v))))) (sqrt.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (+.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (log.f32 (/.f32 1/2 v))) (/.f32 1 v))))))
(/.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (log.f32 (/.f32 1/2 v))))) (exp.f32 (/.f32 1 v)))
(pow.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (+.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (log.f32 (/.f32 1/2 v))) (/.f32 1 v)))) 1)
(pow.f32 (cbrt.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (+.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (log.f32 (/.f32 1/2 v))) (/.f32 1 v))))) 3)
(pow.f32 (pow.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (+.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (log.f32 (/.f32 1/2 v))) (/.f32 1 v)))) 3) 1/3)
(pow.f32 (sqrt.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (+.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (log.f32 (/.f32 1/2 v))) (/.f32 1 v))))) 2)
(pow.f32 (exp.f32 1) (+.f32 6931/10000 (-.f32 (+.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (log.f32 (/.f32 1/2 v))) (/.f32 1 v))))
(pow.f32 (exp.f32 (cbrt.f32 (pow.f32 (+.f32 6931/10000 (-.f32 (+.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (log.f32 (/.f32 1/2 v))) (/.f32 1 v))) 2))) (cbrt.f32 (+.f32 6931/10000 (-.f32 (+.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (log.f32 (/.f32 1/2 v))) (/.f32 1 v)))))
(pow.f32 (exp.f32 (sqrt.f32 (+.f32 6931/10000 (-.f32 (+.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (log.f32 (/.f32 1/2 v))) (/.f32 1 v))))) (sqrt.f32 (+.f32 6931/10000 (-.f32 (+.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (log.f32 (/.f32 1/2 v))) (/.f32 1 v)))))
(sqrt.f32 (pow.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (+.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (log.f32 (/.f32 1/2 v))) (/.f32 1 v)))) 2))
(log.f32 (exp.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (+.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (log.f32 (/.f32 1/2 v))) (/.f32 1 v))))))
(log.f32 (+.f32 1 (expm1.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (+.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (log.f32 (/.f32 1/2 v))) (/.f32 1 v)))))))
(cbrt.f32 (pow.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (+.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (log.f32 (/.f32 1/2 v))) (/.f32 1 v)))) 3))
(expm1.f32 (log1p.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (+.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (log.f32 (/.f32 1/2 v))) (/.f32 1 v))))))
(log1p.f32 (expm1.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (+.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (log.f32 (/.f32 1/2 v))) (/.f32 1 v))))))
Outputs
(exp.f32 6931/10000)
(+.f32 (exp.f32 6931/10000) (*.f32 -1 (/.f32 (*.f32 (exp.f32 6931/10000) (+.f32 1 (*.f32 sinTheta_O sinTheta_i))) v)))
(+.f32 (exp.f32 6931/10000) (neg.f32 (/.f32 (exp.f32 6931/10000) (/.f32 v (+.f32 1 (*.f32 sinTheta_O sinTheta_i))))))
(-.f32 (exp.f32 6931/10000) (/.f32 (exp.f32 6931/10000) (/.f32 v (fma.f32 sinTheta_O sinTheta_i 1))))
(+.f32 (exp.f32 6931/10000) (+.f32 (*.f32 -1 (/.f32 (*.f32 (exp.f32 6931/10000) (+.f32 1 (*.f32 sinTheta_O sinTheta_i))) v)) (*.f32 1/2 (/.f32 (*.f32 (exp.f32 6931/10000) (pow.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) 2)) (pow.f32 v 2)))))
(+.f32 (exp.f32 6931/10000) (fma.f32 -1 (/.f32 (exp.f32 6931/10000) (/.f32 v (+.f32 1 (*.f32 sinTheta_O sinTheta_i)))) (*.f32 1/2 (/.f32 (exp.f32 6931/10000) (/.f32 (pow.f32 v 2) (pow.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) 2))))))
(+.f32 (exp.f32 6931/10000) (fma.f32 1/2 (/.f32 (exp.f32 6931/10000) (/.f32 (pow.f32 v 2) (pow.f32 (fma.f32 sinTheta_O sinTheta_i 1) 2))) (/.f32 (*.f32 (neg.f32 (fma.f32 sinTheta_O sinTheta_i 1)) (exp.f32 6931/10000)) v)))
(+.f32 (exp.f32 6931/10000) (+.f32 (*.f32 -1 (/.f32 (*.f32 (exp.f32 6931/10000) (+.f32 1 (*.f32 sinTheta_O sinTheta_i))) v)) (+.f32 (*.f32 -1/6 (/.f32 (*.f32 (exp.f32 6931/10000) (pow.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) 3)) (pow.f32 v 3))) (*.f32 1/2 (/.f32 (*.f32 (exp.f32 6931/10000) (pow.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) 2)) (pow.f32 v 2))))))
(+.f32 (exp.f32 6931/10000) (fma.f32 -1 (/.f32 (exp.f32 6931/10000) (/.f32 v (+.f32 1 (*.f32 sinTheta_O sinTheta_i)))) (fma.f32 -1/6 (/.f32 (*.f32 (exp.f32 6931/10000) (pow.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) 3)) (pow.f32 v 3)) (*.f32 1/2 (/.f32 (exp.f32 6931/10000) (/.f32 (pow.f32 v 2) (pow.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) 2)))))))
(+.f32 (-.f32 (exp.f32 6931/10000) (/.f32 (exp.f32 6931/10000) (/.f32 v (fma.f32 sinTheta_O sinTheta_i 1)))) (fma.f32 1/2 (/.f32 (exp.f32 6931/10000) (/.f32 (pow.f32 v 2) (pow.f32 (fma.f32 sinTheta_O sinTheta_i 1) 2))) (/.f32 (*.f32 (*.f32 -1/6 (exp.f32 6931/10000)) (pow.f32 (fma.f32 sinTheta_O sinTheta_i 1) 3)) (pow.f32 v 3))))
(exp.f32 6931/10000)
(+.f32 (exp.f32 6931/10000) (*.f32 -1 (/.f32 (*.f32 (exp.f32 6931/10000) (-.f32 1 (*.f32 -1 (*.f32 sinTheta_O sinTheta_i)))) v)))
(+.f32 (exp.f32 6931/10000) (neg.f32 (/.f32 (exp.f32 6931/10000) (/.f32 v (+.f32 1 (*.f32 sinTheta_O sinTheta_i))))))
(-.f32 (exp.f32 6931/10000) (/.f32 (exp.f32 6931/10000) (/.f32 v (fma.f32 sinTheta_O sinTheta_i 1))))
(+.f32 (exp.f32 6931/10000) (+.f32 (*.f32 -1 (/.f32 (*.f32 (exp.f32 6931/10000) (-.f32 1 (*.f32 -1 (*.f32 sinTheta_O sinTheta_i)))) v)) (*.f32 1/2 (/.f32 (*.f32 (exp.f32 6931/10000) (pow.f32 (-.f32 1 (*.f32 -1 (*.f32 sinTheta_O sinTheta_i))) 2)) (pow.f32 v 2)))))
(+.f32 (exp.f32 6931/10000) (fma.f32 -1 (/.f32 (exp.f32 6931/10000) (/.f32 v (+.f32 1 (*.f32 sinTheta_O sinTheta_i)))) (*.f32 1/2 (/.f32 (exp.f32 6931/10000) (/.f32 (pow.f32 v 2) (pow.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) 2))))))
(+.f32 (exp.f32 6931/10000) (fma.f32 1/2 (/.f32 (exp.f32 6931/10000) (/.f32 (pow.f32 v 2) (pow.f32 (fma.f32 sinTheta_O sinTheta_i 1) 2))) (/.f32 (*.f32 (neg.f32 (fma.f32 sinTheta_O sinTheta_i 1)) (exp.f32 6931/10000)) v)))
(+.f32 (exp.f32 6931/10000) (+.f32 (*.f32 -1 (/.f32 (*.f32 (exp.f32 6931/10000) (-.f32 1 (*.f32 -1 (*.f32 sinTheta_O sinTheta_i)))) v)) (+.f32 (*.f32 -1/6 (/.f32 (*.f32 (exp.f32 6931/10000) (pow.f32 (-.f32 1 (*.f32 -1 (*.f32 sinTheta_O sinTheta_i))) 3)) (pow.f32 v 3))) (*.f32 1/2 (/.f32 (*.f32 (exp.f32 6931/10000) (pow.f32 (-.f32 1 (*.f32 -1 (*.f32 sinTheta_O sinTheta_i))) 2)) (pow.f32 v 2))))))
(+.f32 (exp.f32 6931/10000) (fma.f32 -1 (/.f32 (exp.f32 6931/10000) (/.f32 v (+.f32 1 (*.f32 sinTheta_O sinTheta_i)))) (fma.f32 -1/6 (/.f32 (*.f32 (exp.f32 6931/10000) (pow.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) 3)) (pow.f32 v 3)) (*.f32 1/2 (/.f32 (exp.f32 6931/10000) (/.f32 (pow.f32 v 2) (pow.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) 2)))))))
(+.f32 (-.f32 (exp.f32 6931/10000) (/.f32 (exp.f32 6931/10000) (/.f32 v (fma.f32 sinTheta_O sinTheta_i 1)))) (fma.f32 1/2 (/.f32 (exp.f32 6931/10000) (/.f32 (pow.f32 v 2) (pow.f32 (fma.f32 sinTheta_O sinTheta_i 1) 2))) (/.f32 (*.f32 (*.f32 -1/6 (exp.f32 6931/10000)) (pow.f32 (fma.f32 sinTheta_O sinTheta_i 1) 3)) (pow.f32 v 3))))
(exp.f32 (-.f32 6931/10000 (/.f32 1 v)))
(exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))
(+.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (*.f32 -1 (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) v)))
(+.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (neg.f32 (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))))) v)))
(-.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (/.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) v))
(+.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) v)) (*.f32 1/2 (/.f32 (*.f32 (pow.f32 sinTheta_O 2) (*.f32 (pow.f32 sinTheta_i 2) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 2)))))
(+.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (fma.f32 -1 (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))))) v) (*.f32 1/2 (/.f32 (*.f32 (pow.f32 sinTheta_O 2) (*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (pow.f32 sinTheta_i 2))) (pow.f32 v 2)))))
(+.f32 (-.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (/.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) v)) (/.f32 (*.f32 (*.f32 1/2 (pow.f32 (*.f32 sinTheta_O sinTheta_i) 2)) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) (pow.f32 v 2)))
(+.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) v)) (+.f32 (*.f32 -1/6 (/.f32 (*.f32 (pow.f32 sinTheta_O 3) (*.f32 (pow.f32 sinTheta_i 3) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 3))) (*.f32 1/2 (/.f32 (*.f32 (pow.f32 sinTheta_O 2) (*.f32 (pow.f32 sinTheta_i 2) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 2))))))
(+.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (fma.f32 -1 (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))))) v) (fma.f32 -1/6 (/.f32 (*.f32 (pow.f32 (*.f32 sinTheta_O sinTheta_i) 3) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) (pow.f32 v 3)) (*.f32 1/2 (/.f32 (*.f32 (pow.f32 sinTheta_O 2) (*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (pow.f32 sinTheta_i 2))) (pow.f32 v 2))))))
(+.f32 (-.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (/.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) v)) (fma.f32 1/2 (/.f32 (*.f32 (pow.f32 (*.f32 sinTheta_O sinTheta_i) 2) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) (pow.f32 v 2)) (*.f32 -1/6 (/.f32 (*.f32 (pow.f32 (*.f32 sinTheta_O sinTheta_i) 3) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) (pow.f32 v 3)))))
(exp.f32 (-.f32 6931/10000 (/.f32 1 v)))
(exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))
(+.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (*.f32 -1 (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) v)))
(+.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (neg.f32 (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))))) v)))
(-.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (/.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) v))
(+.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) v)) (*.f32 1/2 (/.f32 (*.f32 (pow.f32 sinTheta_O 2) (*.f32 (pow.f32 sinTheta_i 2) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 2)))))
(+.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (fma.f32 -1 (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))))) v) (*.f32 1/2 (/.f32 (*.f32 (pow.f32 sinTheta_O 2) (*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (pow.f32 sinTheta_i 2))) (pow.f32 v 2)))))
(+.f32 (-.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (/.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) v)) (/.f32 (*.f32 (*.f32 1/2 (pow.f32 (*.f32 sinTheta_O sinTheta_i) 2)) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) (pow.f32 v 2)))
(+.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) v)) (+.f32 (*.f32 -1/6 (/.f32 (*.f32 (pow.f32 sinTheta_O 3) (*.f32 (pow.f32 sinTheta_i 3) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 3))) (*.f32 1/2 (/.f32 (*.f32 (pow.f32 sinTheta_O 2) (*.f32 (pow.f32 sinTheta_i 2) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 2))))))
(+.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (fma.f32 -1 (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))))) v) (fma.f32 -1/6 (/.f32 (*.f32 (pow.f32 (*.f32 sinTheta_O sinTheta_i) 3) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) (pow.f32 v 3)) (*.f32 1/2 (/.f32 (*.f32 (pow.f32 sinTheta_O 2) (*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (pow.f32 sinTheta_i 2))) (pow.f32 v 2))))))
(+.f32 (-.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (/.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) v)) (fma.f32 1/2 (/.f32 (*.f32 (pow.f32 (*.f32 sinTheta_O sinTheta_i) 2) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) (pow.f32 v 2)) (*.f32 -1/6 (/.f32 (*.f32 (pow.f32 (*.f32 sinTheta_O sinTheta_i) 3) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) (pow.f32 v 3)))))
(*.f32 -1 (/.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) v))
(neg.f32 (/.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) v))
(/.f32 (neg.f32 (fma.f32 sinTheta_O sinTheta_i 1)) v)
(+.f32 6931/10000 (*.f32 -1 (/.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) v)))
(+.f32 6931/10000 (neg.f32 (/.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) v)))
(-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))
(+.f32 6931/10000 (*.f32 -1 (/.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) v)))
(+.f32 6931/10000 (neg.f32 (/.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) v)))
(-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))
(+.f32 6931/10000 (*.f32 -1 (/.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) v)))
(+.f32 6931/10000 (neg.f32 (/.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) v)))
(-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))
6931/10000
(+.f32 6931/10000 (*.f32 -1 (/.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) v)))
(+.f32 6931/10000 (neg.f32 (/.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) v)))
(-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))
(+.f32 6931/10000 (*.f32 -1 (/.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) v)))
(+.f32 6931/10000 (neg.f32 (/.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) v)))
(-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))
(+.f32 6931/10000 (*.f32 -1 (/.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) v)))
(+.f32 6931/10000 (neg.f32 (/.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) v)))
(-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))
6931/10000
(+.f32 6931/10000 (*.f32 -1 (/.f32 (-.f32 1 (*.f32 -1 (*.f32 sinTheta_O sinTheta_i))) v)))
(+.f32 6931/10000 (neg.f32 (/.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) v)))
(-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))
(+.f32 6931/10000 (*.f32 -1 (/.f32 (-.f32 1 (*.f32 -1 (*.f32 sinTheta_O sinTheta_i))) v)))
(+.f32 6931/10000 (neg.f32 (/.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) v)))
(-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))
(+.f32 6931/10000 (*.f32 -1 (/.f32 (-.f32 1 (*.f32 -1 (*.f32 sinTheta_O sinTheta_i))) v)))
(+.f32 6931/10000 (neg.f32 (/.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) v)))
(-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))
(-.f32 6931/10000 (/.f32 1 v))
(+.f32 6931/10000 (/.f32 -1 v))
(-.f32 (+.f32 6931/10000 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (/.f32 1 v))
(+.f32 6931/10000 (neg.f32 (/.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) v)))
(-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))
(-.f32 (+.f32 6931/10000 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (/.f32 1 v))
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(+.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (fma.f32 -1 (log.f32 v) (/.f32 cosTheta_O (/.f32 v cosTheta_i))))) (/.f32 -1 v))
(+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)))
(expm1.f32 (log1p.f32 (+.f32 6931/10000 (-.f32 (+.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (log.f32 (/.f32 1/2 v))) (/.f32 1 v)))))
(expm1.f32 (log1p.f32 (+.f32 6931/10000 (+.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v))))))
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(+.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (fma.f32 -1 (log.f32 v) (/.f32 cosTheta_O (/.f32 v cosTheta_i))))) (/.f32 -1 v))
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(+.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (fma.f32 -1 (log.f32 v) (/.f32 cosTheta_O (/.f32 v cosTheta_i))))) (/.f32 -1 v))
(+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)))
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(+.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (fma.f32 -1 (log.f32 v) (/.f32 cosTheta_O (/.f32 v cosTheta_i))))) (/.f32 -1 v))
(+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)))
(fma.f32 1 (+.f32 6931/10000 (+.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (log.f32 (/.f32 1/2 v)))) (neg.f32 (/.f32 1 v)))
(+.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (fma.f32 -1 (log.f32 v) (/.f32 cosTheta_O (/.f32 v cosTheta_i))))) (/.f32 -1 v))
(+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)))
(fma.f32 (pow.f32 (cbrt.f32 (+.f32 6931/10000 (+.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (log.f32 (/.f32 1/2 v))))) 2) (cbrt.f32 (+.f32 6931/10000 (+.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (log.f32 (/.f32 1/2 v))))) (neg.f32 (/.f32 1 v)))
(+.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (fma.f32 -1 (log.f32 v) (/.f32 cosTheta_O (/.f32 v cosTheta_i))))) (/.f32 -1 v))
(+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)))
(fma.f32 (sqrt.f32 (+.f32 6931/10000 (+.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (log.f32 (/.f32 1/2 v))))) (sqrt.f32 (+.f32 6931/10000 (+.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (log.f32 (/.f32 1/2 v))))) (neg.f32 (/.f32 1 v)))
(+.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (fma.f32 -1 (log.f32 v) (/.f32 cosTheta_O (/.f32 v cosTheta_i))))) (/.f32 -1 v))
(+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)))
(-.f32 (exp.f32 (log1p.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (+.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (log.f32 (/.f32 1/2 v))) (/.f32 1 v)))))) 1)
(expm1.f32 (log1p.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v)))))))
(exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v))))
(*.f32 1 (exp.f32 (+.f32 6931/10000 (-.f32 (+.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (log.f32 (/.f32 1/2 v))) (/.f32 1 v)))))
(expm1.f32 (log1p.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v)))))))
(exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v))))
(*.f32 (exp.f32 6931/10000) (exp.f32 (-.f32 (+.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (log.f32 (/.f32 1/2 v))) (/.f32 1 v))))
(expm1.f32 (log1p.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v)))))))
(exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v))))
(*.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (log.f32 (/.f32 1/2 v))))) (exp.f32 (neg.f32 (/.f32 1 v))))
(expm1.f32 (log1p.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v)))))))
(exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v))))
(*.f32 (pow.f32 (cbrt.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (+.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (log.f32 (/.f32 1/2 v))) (/.f32 1 v))))) 2) (cbrt.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (+.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (log.f32 (/.f32 1/2 v))) (/.f32 1 v))))))
(expm1.f32 (log1p.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v)))))))
(exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v))))
(*.f32 (sqrt.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (+.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (log.f32 (/.f32 1/2 v))) (/.f32 1 v))))) (sqrt.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (+.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (log.f32 (/.f32 1/2 v))) (/.f32 1 v))))))
(expm1.f32 (log1p.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v)))))))
(exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v))))
(/.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (log.f32 (/.f32 1/2 v))))) (exp.f32 (/.f32 1 v)))
(expm1.f32 (log1p.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v)))))))
(exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v))))
(pow.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (+.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (log.f32 (/.f32 1/2 v))) (/.f32 1 v)))) 1)
(expm1.f32 (log1p.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v)))))))
(exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v))))
(pow.f32 (cbrt.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (+.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (log.f32 (/.f32 1/2 v))) (/.f32 1 v))))) 3)
(expm1.f32 (log1p.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v)))))))
(exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v))))
(pow.f32 (pow.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (+.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (log.f32 (/.f32 1/2 v))) (/.f32 1 v)))) 3) 1/3)
(expm1.f32 (log1p.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v)))))))
(exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v))))
(pow.f32 (sqrt.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (+.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (log.f32 (/.f32 1/2 v))) (/.f32 1 v))))) 2)
(expm1.f32 (log1p.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v)))))))
(exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v))))
(pow.f32 (exp.f32 1) (+.f32 6931/10000 (-.f32 (+.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (log.f32 (/.f32 1/2 v))) (/.f32 1 v))))
(expm1.f32 (log1p.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v)))))))
(exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v))))
(pow.f32 (exp.f32 (cbrt.f32 (pow.f32 (+.f32 6931/10000 (-.f32 (+.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (log.f32 (/.f32 1/2 v))) (/.f32 1 v))) 2))) (cbrt.f32 (+.f32 6931/10000 (-.f32 (+.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (log.f32 (/.f32 1/2 v))) (/.f32 1 v)))))
(pow.f32 (exp.f32 (cbrt.f32 (pow.f32 (+.f32 6931/10000 (+.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v)))) 2))) (cbrt.f32 (+.f32 6931/10000 (+.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v))))))
(pow.f32 (exp.f32 (cbrt.f32 (pow.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v))) 2))) (cbrt.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)))))
(pow.f32 (exp.f32 (sqrt.f32 (+.f32 6931/10000 (-.f32 (+.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (log.f32 (/.f32 1/2 v))) (/.f32 1 v))))) (sqrt.f32 (+.f32 6931/10000 (-.f32 (+.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (log.f32 (/.f32 1/2 v))) (/.f32 1 v)))))
(expm1.f32 (log1p.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v)))))))
(exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v))))
(sqrt.f32 (pow.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (+.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (log.f32 (/.f32 1/2 v))) (/.f32 1 v)))) 2))
(sqrt.f32 (pow.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v))))) 2))
(fabs.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)))))
(log.f32 (exp.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (+.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (log.f32 (/.f32 1/2 v))) (/.f32 1 v))))))
(expm1.f32 (log1p.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v)))))))
(exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v))))
(log.f32 (+.f32 1 (expm1.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (+.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (log.f32 (/.f32 1/2 v))) (/.f32 1 v)))))))
(expm1.f32 (log1p.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v)))))))
(exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v))))
(cbrt.f32 (pow.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (+.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (log.f32 (/.f32 1/2 v))) (/.f32 1 v)))) 3))
(expm1.f32 (log1p.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v)))))))
(exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v))))
(expm1.f32 (log1p.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (+.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (log.f32 (/.f32 1/2 v))) (/.f32 1 v))))))
(expm1.f32 (log1p.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v)))))))
(exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v))))
(log1p.f32 (expm1.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (+.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (log.f32 (/.f32 1/2 v))) (/.f32 1 v))))))
(expm1.f32 (log1p.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v)))))))
(exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v))))

eval318.0ms (2.5%)

Compiler

Compiled 18541 to 11128 computations (40% saved)

prune145.0ms (1.1%)

Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New69512707
Fresh235
Picked505
Done000
Total70215717
Accuracy
99.9%
Counts
717 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.1%
(pow.f32 (cbrt.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (+.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (log.f32 (/.f32 1/2 v))) (/.f32 1 v))))) 3)
6.3%
(-.f32 1 (*.f32 (/.f32 sinTheta_O v) sinTheta_i))
6.3%
(+.f32 1 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
99.3%
(*.f32 (/.f32 1/2 v) (pow.f32 (E.f32) (+.f32 (+.f32 6931/10000 (/.f32 -1 v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v))))
99.0%
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))))
99.7%
(*.f32 1/2 (/.f32 (pow.f32 (exp.f32 1) (-.f32 6931/10000 (+.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)) (/.f32 1 v)))) v))
99.4%
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))
99.7%
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (neg.f32 (/.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) v)))) v))
97.8%
(*.f32 1/2 (/.f32 (exp.f32 (neg.f32 (/.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) v))) v))
97.5%
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (*.f32 sinTheta_O sinTheta_i) 1)) v))
97.5%
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v))
99.1%
(exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v)))
99.4%
(exp.f32 (+.f32 (-.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (+.f32 (/.f32 1 (/.f32 (/.f32 v sinTheta_O) sinTheta_i)) (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
11.2%
(exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O)))
6.5%
1
Compiler

Compiled 536 to 418 computations (22% saved)

localize465.0ms (3.7%)

Localize:

Found 13 expressions with local error:

NewAccuracyProgram
99.7%
(exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v)))
99.6%
(+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
99.6%
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))))
75.5%
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
100.0%
(*.f32 cosTheta_O cosTheta_i)
100.0%
(*.f32 sinTheta_O sinTheta_i)
99.7%
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (*.f32 sinTheta_O sinTheta_i) 1)) v))
99.9%
(exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O)))
99.3%
(*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))
100.0%
(+.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)) (/.f32 1 v))
99.9%
(-.f32 6931/10000 (+.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)) (/.f32 1 v)))
99.7%
(pow.f32 (exp.f32 1) (-.f32 6931/10000 (+.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)) (/.f32 1 v))))
99.2%
(/.f32 sinTheta_O (/.f32 v sinTheta_i))
Compiler

Compiled 230 to 103 computations (55.2% saved)

series78.0ms (0.6%)

Counts
11 → 337
Calls

102 calls:

TimeVariablePointExpression
2.0ms
v
@inf
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (*.f32 sinTheta_O sinTheta_i) 1)) v))
2.0ms
v
@-inf
(exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v)))
2.0ms
cosTheta_i
@0
(+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
2.0ms
v
@-inf
(pow.f32 (exp.f32 1) (-.f32 6931/10000 (+.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)) (/.f32 1 v))))
2.0ms
sinTheta_O
@inf
(*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))

rewrite117.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
320×log1p-expm1-u
320×expm1-log1p-u
316×add-exp-log
316×add-log-exp
313×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
040397
1697363
Stop Event
node limit
Counts
11 → 284
Calls
Call 1
Inputs
(/.f32 sinTheta_O (/.f32 v sinTheta_i))
(pow.f32 (exp.f32 1) (-.f32 6931/10000 (+.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)) (/.f32 1 v))))
(-.f32 6931/10000 (+.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)) (/.f32 1 v)))
(+.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)) (/.f32 1 v))
(*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))
(exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O)))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (*.f32 sinTheta_O sinTheta_i) 1)) v))
(*.f32 cosTheta_O cosTheta_i)
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))))
(+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v)))
Outputs
(+.f32 0 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) sinTheta_O)) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) sinTheta_O))))
(+.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) sinTheta_O))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) sinTheta_O))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) 1)
(-.f32 (/.f32 0 (neg.f32 (/.f32 v sinTheta_i))) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(*.f32 1 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(*.f32 (/.f32 1 v) (/.f32 sinTheta_O (/.f32 1 sinTheta_i)))
(*.f32 (/.f32 sinTheta_i v) sinTheta_O)
(*.f32 (pow.f32 (cbrt.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))) 2) (cbrt.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(*.f32 (sqrt.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))) (sqrt.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(*.f32 (sqrt.f32 (/.f32 sinTheta_i v)) (/.f32 sinTheta_O (sqrt.f32 (/.f32 v sinTheta_i))))
(*.f32 (/.f32 sinTheta_O v) sinTheta_i)
(*.f32 (/.f32 sinTheta_i (sqrt.f32 v)) (/.f32 sinTheta_O (sqrt.f32 v)))
(*.f32 (/.f32 1 (pow.f32 (cbrt.f32 (/.f32 v sinTheta_i)) 2)) (/.f32 sinTheta_O (cbrt.f32 (/.f32 v sinTheta_i))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 sinTheta_O) 2) v) (/.f32 (cbrt.f32 sinTheta_O) (/.f32 1 sinTheta_i)))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 sinTheta_O) 2) 1) (/.f32 (cbrt.f32 sinTheta_O) (/.f32 v sinTheta_i)))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 sinTheta_O) 2) (pow.f32 (cbrt.f32 (/.f32 v sinTheta_i)) 2)) (cbrt.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 sinTheta_O) 2) (sqrt.f32 (/.f32 v sinTheta_i))) (/.f32 (cbrt.f32 sinTheta_O) (sqrt.f32 (/.f32 v sinTheta_i))))
(*.f32 (/.f32 (sqrt.f32 sinTheta_O) v) (/.f32 (sqrt.f32 sinTheta_O) (/.f32 1 sinTheta_i)))
(*.f32 (/.f32 (sqrt.f32 sinTheta_O) 1) (/.f32 (sqrt.f32 sinTheta_O) (/.f32 v sinTheta_i)))
(*.f32 (/.f32 (sqrt.f32 sinTheta_O) (pow.f32 (cbrt.f32 (/.f32 v sinTheta_i)) 2)) (/.f32 (sqrt.f32 sinTheta_O) (cbrt.f32 (/.f32 v sinTheta_i))))
(*.f32 (/.f32 sinTheta_i 1) (/.f32 sinTheta_O v))
(*.f32 (/.f32 sinTheta_i (pow.f32 (cbrt.f32 v) 2)) (/.f32 sinTheta_O (cbrt.f32 v)))
(pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) 1)
(pow.f32 (cbrt.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))) 3)
(pow.f32 (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) 3) 1/3)
(pow.f32 (sqrt.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))) 2)
(pow.f32 (/.f32 (/.f32 v sinTheta_i) sinTheta_O) -1)
(neg.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(sqrt.f32 (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) 2))
(log.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) sinTheta_O))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))))
(cbrt.f32 (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) 3))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 sinTheta_i v) 3) (pow.f32 sinTheta_O 3)))
(expm1.f32 (log1p.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(log1p.f32 (expm1.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(exp.f32 (log.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(exp.f32 (*.f32 (log.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))) 1))
(-.f32 (exp.f32 (log1p.f32 (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))))) 1)
(*.f32 1 (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))))
(*.f32 (exp.f32 6931/10000) (pow.f32 (E.f32) (neg.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))))
(*.f32 (exp.f32 6931/10000) (exp.f32 (neg.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))))
(*.f32 (pow.f32 (cbrt.f32 (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))) 2) (cbrt.f32 (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))))
(*.f32 (sqrt.f32 (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))) (sqrt.f32 (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))))
(*.f32 (pow.f32 1 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))) (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))))
(*.f32 (pow.f32 (cbrt.f32 (exp.f32 2)) (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))) (pow.f32 (cbrt.f32 (E.f32)) (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))))
(*.f32 (pow.f32 (sqrt.f32 (E.f32)) (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))) (pow.f32 (sqrt.f32 (E.f32)) (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))))
(/.f32 (exp.f32 6931/10000) (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))
(/.f32 (pow.f32 (E.f32) (-.f32 6931/10000 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) (exp.f32 (/.f32 1 v)))
(/.f32 (exp.f32 (-.f32 6931/10000 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) (exp.f32 (/.f32 1 v)))
(/.f32 (neg.f32 (exp.f32 6931/10000)) (neg.f32 (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))))
(sqrt.f32 (pow.f32 (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))) 2))
(log.f32 (exp.f32 (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))))
(log.f32 (+.f32 1 (expm1.f32 (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))))))
(cbrt.f32 (pow.f32 (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))) 3))
(expm1.f32 (log1p.f32 (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))))
(log1p.f32 (expm1.f32 (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))))
(exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))
(+.f32 6931/10000 (neg.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))
(+.f32 0 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))) 2)) (log.f32 (cbrt.f32 (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))))) (log.f32 (sqrt.f32 (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))))))
(*.f32 1 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))
(*.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))) 1)
(*.f32 (pow.f32 (cbrt.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))) 2) (cbrt.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))))
(*.f32 (sqrt.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))) (sqrt.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))))
(/.f32 (-.f32 332956652491/1000000000000 (pow.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)) 3)) (+.f32 48038761/100000000 (+.f32 (pow.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)) 2) (*.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))))
(/.f32 (-.f32 48038761/100000000 (pow.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)) 2)) (+.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))
(/.f32 (neg.f32 (-.f32 332956652491/1000000000000 (pow.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)) 3))) (neg.f32 (+.f32 48038761/100000000 (+.f32 (pow.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)) 2) (*.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))))))
(/.f32 (neg.f32 (-.f32 48038761/100000000 (pow.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)) 2))) (neg.f32 (+.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))))
(pow.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))) 1)
(pow.f32 (cbrt.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))) 3)
(pow.f32 (pow.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))) 3) 1/3)
(pow.f32 (sqrt.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))) 2)
(sqrt.f32 (pow.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))) 2))
(log.f32 (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))))
(log.f32 (+.f32 1 (expm1.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))))
(cbrt.f32 (pow.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))) 3))
(expm1.f32 (log1p.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))))
(log1p.f32 (expm1.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))))
(exp.f32 (log.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))))
(exp.f32 (*.f32 (log.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))) 1))
(-.f32 (exp.f32 (log1p.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))) 1)
(-.f32 (/.f32 (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) 2) (-.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) (/.f32 1 v))) (/.f32 (pow.f32 v -2) (-.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) (/.f32 1 v))))
(*.f32 1 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))
(*.f32 (pow.f32 (cbrt.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))) 2) (cbrt.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))
(*.f32 (sqrt.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))) (sqrt.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))
(/.f32 (fma.f32 sinTheta_O v (*.f32 (/.f32 v sinTheta_i) 1)) (*.f32 (/.f32 v sinTheta_i) v))
(/.f32 (+.f32 (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) 3) (pow.f32 v -3)) (+.f32 (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) 2) (-.f32 (pow.f32 v -2) (*.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) (/.f32 1 v)))))
(/.f32 (-.f32 (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) 2) (pow.f32 v -2)) (-.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) (/.f32 1 v)))
(/.f32 (+.f32 (*.f32 sinTheta_O (/.f32 v 1)) (*.f32 (/.f32 v sinTheta_i) 1)) (*.f32 (/.f32 v sinTheta_i) (/.f32 v 1)))
(/.f32 (+.f32 (*.f32 sinTheta_O (neg.f32 v)) (*.f32 (/.f32 v sinTheta_i) -1)) (*.f32 (/.f32 v sinTheta_i) (neg.f32 v)))
(/.f32 (+.f32 v (*.f32 (/.f32 (/.f32 v sinTheta_i) sinTheta_O) 1)) (*.f32 (/.f32 (/.f32 v sinTheta_i) sinTheta_O) v))
(/.f32 (+.f32 (*.f32 1 (/.f32 v 1)) (*.f32 (/.f32 (/.f32 v sinTheta_i) sinTheta_O) 1)) (*.f32 (/.f32 (/.f32 v sinTheta_i) sinTheta_O) (/.f32 v 1)))
(/.f32 (+.f32 (*.f32 1 (neg.f32 v)) (*.f32 (/.f32 (/.f32 v sinTheta_i) sinTheta_O) -1)) (*.f32 (/.f32 (/.f32 v sinTheta_i) sinTheta_O) (neg.f32 v)))
(/.f32 (+.f32 (*.f32 sinTheta_O v) (*.f32 (neg.f32 (/.f32 v sinTheta_i)) 1)) (*.f32 (neg.f32 (/.f32 v sinTheta_i)) v))
(/.f32 (+.f32 (*.f32 sinTheta_O (/.f32 v 1)) (*.f32 (neg.f32 (/.f32 v sinTheta_i)) 1)) (*.f32 (neg.f32 (/.f32 v sinTheta_i)) (/.f32 v 1)))
(/.f32 (+.f32 (*.f32 sinTheta_O (neg.f32 v)) (*.f32 (neg.f32 (/.f32 v sinTheta_i)) -1)) (*.f32 (neg.f32 (/.f32 v sinTheta_i)) (neg.f32 v)))
(/.f32 (+.f32 (/.f32 v sinTheta_i) (*.f32 v sinTheta_O)) (*.f32 v (/.f32 v sinTheta_i)))
(/.f32 (+.f32 (/.f32 (/.f32 v sinTheta_i) sinTheta_O) (*.f32 v 1)) (*.f32 v (/.f32 (/.f32 v sinTheta_i) sinTheta_O)))
(/.f32 (+.f32 (*.f32 1 (neg.f32 (/.f32 v sinTheta_i))) (*.f32 v sinTheta_O)) (*.f32 v (neg.f32 (/.f32 v sinTheta_i))))
(/.f32 (+.f32 (/.f32 v sinTheta_i) (*.f32 (/.f32 v 1) sinTheta_O)) (*.f32 (/.f32 v 1) (/.f32 v sinTheta_i)))
(/.f32 (+.f32 (/.f32 (/.f32 v sinTheta_i) sinTheta_O) (*.f32 (/.f32 v 1) 1)) (*.f32 (/.f32 v 1) (/.f32 (/.f32 v sinTheta_i) sinTheta_O)))
(/.f32 (+.f32 (*.f32 1 (neg.f32 (/.f32 v sinTheta_i))) (*.f32 (/.f32 v 1) sinTheta_O)) (*.f32 (/.f32 v 1) (neg.f32 (/.f32 v sinTheta_i))))
(/.f32 (+.f32 (*.f32 -1 (/.f32 v sinTheta_i)) (*.f32 (neg.f32 v) sinTheta_O)) (*.f32 (neg.f32 v) (/.f32 v sinTheta_i)))
(/.f32 (+.f32 (*.f32 -1 (/.f32 (/.f32 v sinTheta_i) sinTheta_O)) (*.f32 (neg.f32 v) 1)) (*.f32 (neg.f32 v) (/.f32 (/.f32 v sinTheta_i) sinTheta_O)))
(/.f32 (+.f32 (*.f32 -1 (neg.f32 (/.f32 v sinTheta_i))) (*.f32 (neg.f32 v) sinTheta_O)) (*.f32 (neg.f32 v) (neg.f32 (/.f32 v sinTheta_i))))
(/.f32 (neg.f32 (fma.f32 sinTheta_O v (*.f32 (/.f32 v sinTheta_i) 1))) (neg.f32 (*.f32 (/.f32 v sinTheta_i) v)))
(/.f32 (neg.f32 (+.f32 (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) 3) (pow.f32 v -3))) (neg.f32 (+.f32 (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) 2) (-.f32 (pow.f32 v -2) (*.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) (/.f32 1 v))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) 2) (pow.f32 v -2))) (neg.f32 (-.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) (/.f32 1 v))))
(pow.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)) 1)
(pow.f32 (cbrt.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))) 3)
(pow.f32 (pow.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)) 3) 1/3)
(pow.f32 (sqrt.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))) 2)
(sqrt.f32 (pow.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)) 2))
(log.f32 (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))
(log.f32 (+.f32 1 (expm1.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))))
(cbrt.f32 (pow.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)) 3))
(expm1.f32 (log1p.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))
(log1p.f32 (expm1.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))
(exp.f32 (log.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))
(exp.f32 (*.f32 (log.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))) 1))
(fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))
(fma.f32 1 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) (/.f32 1 v))
(fma.f32 1 (/.f32 1 v) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(fma.f32 (pow.f32 (cbrt.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))) 2) (cbrt.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))) (/.f32 1 v))
(fma.f32 (cbrt.f32 (pow.f32 v -2)) (/.f32 1 (cbrt.f32 v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(fma.f32 (sqrt.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))) (sqrt.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))) (/.f32 1 v))
(fma.f32 (pow.f32 v -1/2) (pow.f32 v -1/2) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(fma.f32 (/.f32 sinTheta_O v) sinTheta_i (/.f32 1 v))
(+.f32 0 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) sinTheta_O)) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) sinTheta_O))))
(+.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) sinTheta_O))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) sinTheta_O))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) 1)
(-.f32 (/.f32 0 (neg.f32 (/.f32 v sinTheta_i))) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(/.f32 sinTheta_O (/.f32 v sinTheta_i))
(/.f32 sinTheta_O (neg.f32 (/.f32 v sinTheta_i)))
(/.f32 sinTheta_O (neg.f32 (neg.f32 (/.f32 v sinTheta_i))))
(/.f32 1 (/.f32 (/.f32 v sinTheta_i) sinTheta_O))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 -1 (neg.f32 (/.f32 (/.f32 v sinTheta_i) sinTheta_O)))
(/.f32 (neg.f32 (*.f32 sinTheta_O sinTheta_i)) (neg.f32 v))
(pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) 1)
(pow.f32 (cbrt.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))) 3)
(pow.f32 (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) 3) 1/3)
(pow.f32 (sqrt.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))) 2)
(pow.f32 (/.f32 (/.f32 v sinTheta_i) sinTheta_O) -1)
(neg.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(sqrt.f32 (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) 2))
(log.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) sinTheta_O))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))))
(cbrt.f32 (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) 3))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 sinTheta_i v) 3) (pow.f32 sinTheta_O 3)))
(expm1.f32 (log1p.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(log1p.f32 (expm1.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(exp.f32 (log.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(exp.f32 (*.f32 (log.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))) 1))
(-.f32 (exp.f32 (log1p.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) sinTheta_O))) 1)
(*.f32 1 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) sinTheta_O))
(*.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) sinTheta_O)) 2) (cbrt.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) sinTheta_O)))
(*.f32 (sqrt.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) sinTheta_O)) (sqrt.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) sinTheta_O)))
(/.f32 1 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) sinTheta_O))
(pow.f32 (E.f32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(pow.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) sinTheta_O) 1)
(pow.f32 (exp.f32 (/.f32 sinTheta_i v)) sinTheta_O)
(pow.f32 (exp.f32 (/.f32 sinTheta_i v)) (*.f32 sinTheta_O 1))
(pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))
(pow.f32 (cbrt.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) sinTheta_O)) 3)
(pow.f32 (pow.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) sinTheta_O) 3) 1/3)
(pow.f32 (sqrt.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) sinTheta_O)) 2)
(pow.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) -1) sinTheta_O)
(pow.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) (pow.f32 (cbrt.f32 sinTheta_O) 2)) (cbrt.f32 sinTheta_O))
(pow.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) (sqrt.f32 sinTheta_O)) (sqrt.f32 sinTheta_O))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))) 2)) (cbrt.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(pow.f32 (exp.f32 (sqrt.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) (sqrt.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(pow.f32 (exp.f32 (/.f32 sinTheta_O v)) sinTheta_i)
(sqrt.f32 (pow.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) sinTheta_O) 2))
(log.f32 (exp.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) sinTheta_O)))
(log.f32 (+.f32 1 (expm1.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) sinTheta_O))))
(cbrt.f32 (pow.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) sinTheta_O) 3))
(expm1.f32 (log1p.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) sinTheta_O)))
(log1p.f32 (expm1.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) sinTheta_O)))
(-.f32 (exp.f32 (log1p.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v)))) 1)
(*.f32 1 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v)))
(*.f32 (pow.f32 (cbrt.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v))) 2) (cbrt.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v))))
(*.f32 (sqrt.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v))) (sqrt.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v))))
(/.f32 (exp.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i))) (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)))
(pow.f32 (E.f32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v))
(pow.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v)) 1)
(pow.f32 (exp.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1))) (/.f32 1 v))
(pow.f32 (cbrt.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v))) 3)
(pow.f32 (pow.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v)) 3) 1/3)
(pow.f32 (sqrt.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v))) 2)
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v)) 2)) (cbrt.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v)))
(pow.f32 (exp.f32 (sqrt.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v))) (sqrt.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v)))
(sqrt.f32 (pow.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v)) 2))
(log.f32 (exp.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v))))
(log.f32 (+.f32 1 (expm1.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v)))))
(cbrt.f32 (pow.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v)) 3))
(expm1.f32 (log1p.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v))))
(log1p.f32 (expm1.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 cosTheta_O cosTheta_i))) 1)
(pow.f32 (*.f32 cosTheta_O cosTheta_i) 1)
(pow.f32 (cbrt.f32 (*.f32 cosTheta_O cosTheta_i)) 3)
(pow.f32 (sqrt.f32 (*.f32 cosTheta_O cosTheta_i)) 2)
(pow.f32 (pow.f32 (*.f32 cosTheta_O cosTheta_i) 3) 1/3)
(sqrt.f32 (pow.f32 (*.f32 cosTheta_O cosTheta_i) 2))
(log.f32 (pow.f32 (exp.f32 cosTheta_i) cosTheta_O))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 cosTheta_O cosTheta_i))))
(cbrt.f32 (pow.f32 (*.f32 cosTheta_O cosTheta_i) 3))
(expm1.f32 (log1p.f32 (*.f32 cosTheta_O cosTheta_i)))
(log1p.f32 (expm1.f32 (*.f32 cosTheta_O cosTheta_i)))
(exp.f32 (log.f32 (*.f32 cosTheta_O cosTheta_i)))
(exp.f32 (*.f32 (log.f32 (*.f32 cosTheta_O cosTheta_i)) 1))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v)))))) 1)
(/.f32 (*.f32 1/2 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v)))) v)
(/.f32 (*.f32 1 (exp.f32 (+.f32 6931/10000 (/.f32 cosTheta_O (/.f32 v cosTheta_i))))) (*.f32 (/.f32 v 1/2) (exp.f32 (/.f32 1 v))))
(/.f32 (*.f32 1/2 (exp.f32 (+.f32 6931/10000 (/.f32 cosTheta_O (/.f32 v cosTheta_i))))) (*.f32 v (exp.f32 (/.f32 1 v))))
(/.f32 (*.f32 -1/2 (exp.f32 (+.f32 6931/10000 (/.f32 cosTheta_O (/.f32 v cosTheta_i))))) (*.f32 (neg.f32 v) (exp.f32 (/.f32 1 v))))
(/.f32 (*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 cosTheta_O (/.f32 v cosTheta_i)))) 1) (*.f32 (exp.f32 (/.f32 1 v)) (/.f32 v 1/2)))
(/.f32 (*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 cosTheta_O (/.f32 v cosTheta_i)))) 1/2) (*.f32 (exp.f32 (/.f32 1 v)) v))
(/.f32 (*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 cosTheta_O (/.f32 v cosTheta_i)))) -1/2) (*.f32 (exp.f32 (/.f32 1 v)) (neg.f32 v)))
(/.f32 (neg.f32 (*.f32 1/2 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v))))) (neg.f32 v))
(pow.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v)))) 1)
(pow.f32 (cbrt.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v))))) 3)
(pow.f32 (pow.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v)))) 3) 1/3)
(pow.f32 (sqrt.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v))))) 2)
(sqrt.f32 (pow.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v)))) 2))
(log.f32 (pow.f32 (exp.f32 (/.f32 1/2 v)) (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v)))))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v)))))))
(cbrt.f32 (pow.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v)))) 3))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 1/2 v) 3) (pow.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v))) 3)))
(cbrt.f32 (*.f32 (pow.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v))) 3) (pow.f32 (/.f32 1/2 v) 3)))
(expm1.f32 (log1p.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v))))))
(log1p.f32 (expm1.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v))))))
(exp.f32 (+.f32 (+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v)) (log.f32 (/.f32 1/2 v))))
(exp.f32 (*.f32 (+.f32 (+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v)) (log.f32 (/.f32 1/2 v))) 1))
(-.f32 (exp.f32 (log1p.f32 (+.f32 6931/10000 (/.f32 cosTheta_O (/.f32 v cosTheta_i))))) 1)
(-.f32 (/.f32 48038761/100000000 (-.f32 6931/10000 (/.f32 cosTheta_O (/.f32 v cosTheta_i)))) (/.f32 (pow.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) 2) (-.f32 6931/10000 (/.f32 cosTheta_O (/.f32 v cosTheta_i)))))
(*.f32 1 (+.f32 6931/10000 (/.f32 cosTheta_O (/.f32 v cosTheta_i))))
(*.f32 (pow.f32 (cbrt.f32 (+.f32 6931/10000 (/.f32 cosTheta_O (/.f32 v cosTheta_i)))) 2) (cbrt.f32 (+.f32 6931/10000 (/.f32 cosTheta_O (/.f32 v cosTheta_i)))))
(*.f32 (sqrt.f32 (+.f32 6931/10000 (/.f32 cosTheta_O (/.f32 v cosTheta_i)))) (sqrt.f32 (+.f32 6931/10000 (/.f32 cosTheta_O (/.f32 v cosTheta_i)))))
(/.f32 (+.f32 332956652491/1000000000000 (pow.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) 3)) (+.f32 48038761/100000000 (-.f32 (pow.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) 2) (*.f32 6931/10000 (/.f32 cosTheta_O (/.f32 v cosTheta_i))))))
(/.f32 (-.f32 48038761/100000000 (pow.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) 2)) (-.f32 6931/10000 (/.f32 cosTheta_O (/.f32 v cosTheta_i))))
(/.f32 (neg.f32 (+.f32 332956652491/1000000000000 (pow.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) 3))) (neg.f32 (+.f32 48038761/100000000 (-.f32 (pow.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) 2) (*.f32 6931/10000 (/.f32 cosTheta_O (/.f32 v cosTheta_i)))))))
(/.f32 (neg.f32 (-.f32 48038761/100000000 (pow.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) 2))) (neg.f32 (-.f32 6931/10000 (/.f32 cosTheta_O (/.f32 v cosTheta_i)))))
(pow.f32 (+.f32 6931/10000 (/.f32 cosTheta_O (/.f32 v cosTheta_i))) 1)
(pow.f32 (cbrt.f32 (+.f32 6931/10000 (/.f32 cosTheta_O (/.f32 v cosTheta_i)))) 3)
(pow.f32 (pow.f32 (+.f32 6931/10000 (/.f32 cosTheta_O (/.f32 v cosTheta_i))) 3) 1/3)
(pow.f32 (sqrt.f32 (+.f32 6931/10000 (/.f32 cosTheta_O (/.f32 v cosTheta_i)))) 2)
(sqrt.f32 (pow.f32 (+.f32 6931/10000 (/.f32 cosTheta_O (/.f32 v cosTheta_i))) 2))
(log.f32 (exp.f32 (+.f32 6931/10000 (/.f32 cosTheta_O (/.f32 v cosTheta_i)))))
(log.f32 (+.f32 1 (expm1.f32 (+.f32 6931/10000 (/.f32 cosTheta_O (/.f32 v cosTheta_i))))))
(cbrt.f32 (pow.f32 (+.f32 6931/10000 (/.f32 cosTheta_O (/.f32 v cosTheta_i))) 3))
(expm1.f32 (log1p.f32 (+.f32 6931/10000 (/.f32 cosTheta_O (/.f32 v cosTheta_i)))))
(log1p.f32 (expm1.f32 (+.f32 6931/10000 (/.f32 cosTheta_O (/.f32 v cosTheta_i)))))
(exp.f32 (log.f32 (+.f32 6931/10000 (/.f32 cosTheta_O (/.f32 v cosTheta_i)))))
(exp.f32 (*.f32 (log.f32 (+.f32 6931/10000 (/.f32 cosTheta_O (/.f32 v cosTheta_i)))) 1))
(fma.f32 1 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) 6931/10000)
(fma.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 1 v) 6931/10000)
(fma.f32 (pow.f32 (cbrt.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i))) 2) (cbrt.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i))) 6931/10000)
(fma.f32 (sqrt.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i))) (sqrt.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i))) 6931/10000)
(-.f32 (exp.f32 (log1p.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v))))) 1)
(*.f32 1 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v))))
(*.f32 (exp.f32 6931/10000) (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v)))
(*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 cosTheta_O (/.f32 v cosTheta_i)))) (exp.f32 (neg.f32 (/.f32 1 v))))
(*.f32 (pow.f32 (cbrt.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v)))) 2) (cbrt.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v)))))
(*.f32 (sqrt.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v)))) (sqrt.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v)))))
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 cosTheta_O (/.f32 v cosTheta_i)))) (exp.f32 (/.f32 1 v)))
(/.f32 (neg.f32 (exp.f32 (+.f32 6931/10000 (/.f32 cosTheta_O (/.f32 v cosTheta_i))))) (neg.f32 (exp.f32 (/.f32 1 v))))
(pow.f32 (E.f32) (+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v)))
(pow.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v))) 1)
(pow.f32 (cbrt.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v)))) 3)
(pow.f32 (pow.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v))) 3) 1/3)
(pow.f32 (sqrt.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v)))) 2)
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v))) 2)) (cbrt.f32 (+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v))))
(pow.f32 (exp.f32 (sqrt.f32 (+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v)))) (sqrt.f32 (+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v))))
(sqrt.f32 (pow.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v))) 2))
(log.f32 (exp.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v)))))
(log.f32 (+.f32 1 (expm1.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v))))))
(cbrt.f32 (pow.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v))) 3))
(expm1.f32 (log1p.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v)))))
(log1p.f32 (expm1.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v)))))

simplify221.0ms (1.7%)

Algorithm
egg-herbie
Rules
616×times-frac
505×associate-*r*
427×associate-*l*
275×fma-define
239×sqr-pow
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
088228745
1237426684
Stop Event
node limit
Counts
621 → 486
Calls
Call 1
Inputs
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
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1
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6931/10000
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
6931/10000
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
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(*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 cosTheta_O (/.f32 v cosTheta_i)))) (exp.f32 (neg.f32 (/.f32 1 v))))
(*.f32 (pow.f32 (cbrt.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v)))) 2) (cbrt.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v)))))
(*.f32 (sqrt.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v)))) (sqrt.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v)))))
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 cosTheta_O (/.f32 v cosTheta_i)))) (exp.f32 (/.f32 1 v)))
(/.f32 (neg.f32 (exp.f32 (+.f32 6931/10000 (/.f32 cosTheta_O (/.f32 v cosTheta_i))))) (neg.f32 (exp.f32 (/.f32 1 v))))
(pow.f32 (E.f32) (+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v)))
(pow.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v))) 1)
(pow.f32 (cbrt.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v)))) 3)
(pow.f32 (pow.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v))) 3) 1/3)
(pow.f32 (sqrt.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v)))) 2)
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v))) 2)) (cbrt.f32 (+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v))))
(pow.f32 (exp.f32 (sqrt.f32 (+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v)))) (sqrt.f32 (+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v))))
(sqrt.f32 (pow.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v))) 2))
(log.f32 (exp.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v)))))
(log.f32 (+.f32 1 (expm1.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v))))))
(cbrt.f32 (pow.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v))) 3))
(expm1.f32 (log1p.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v)))))
(log1p.f32 (expm1.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v)))))
Outputs
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(exp.f32 (-.f32 6931/10000 (/.f32 1 v)))
(exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))
(+.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (*.f32 -1 (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) v)))
(+.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (neg.f32 (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))))) v)))
(-.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (*.f32 (*.f32 sinTheta_i (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) (/.f32 sinTheta_O v)))
(+.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) v)) (*.f32 1/2 (/.f32 (*.f32 (pow.f32 sinTheta_O 2) (*.f32 (pow.f32 sinTheta_i 2) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 2)))))
(+.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (fma.f32 -1 (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))))) v) (*.f32 1/2 (/.f32 (pow.f32 sinTheta_O 2) (/.f32 (pow.f32 v 2) (*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (pow.f32 sinTheta_i 2)))))))
(+.f32 (-.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (*.f32 (*.f32 sinTheta_i (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) (/.f32 sinTheta_O v))) (/.f32 (*.f32 (*.f32 1/2 (pow.f32 sinTheta_O 2)) (*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (pow.f32 sinTheta_i 2))) (pow.f32 v 2)))
(+.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) v)) (+.f32 (*.f32 -1/6 (/.f32 (*.f32 (pow.f32 sinTheta_O 3) (*.f32 (pow.f32 sinTheta_i 3) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 3))) (*.f32 1/2 (/.f32 (*.f32 (pow.f32 sinTheta_O 2) (*.f32 (pow.f32 sinTheta_i 2) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 2))))))
(+.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (fma.f32 -1 (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))))) v) (fma.f32 -1/6 (/.f32 (pow.f32 sinTheta_O 3) (/.f32 (pow.f32 v 3) (*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (pow.f32 sinTheta_i 3)))) (*.f32 1/2 (/.f32 (pow.f32 sinTheta_O 2) (/.f32 (pow.f32 v 2) (*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (pow.f32 sinTheta_i 2))))))))
(+.f32 (-.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (*.f32 (*.f32 sinTheta_i (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) (/.f32 sinTheta_O v))) (fma.f32 1/2 (/.f32 (pow.f32 sinTheta_O 2) (/.f32 (pow.f32 v 2) (*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (pow.f32 sinTheta_i 2)))) (*.f32 -1/6 (/.f32 (*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (*.f32 (pow.f32 sinTheta_O 3) (pow.f32 sinTheta_i 3))) (pow.f32 v 3)))))
(exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))
(exp.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)))
(exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))
(exp.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)))
(exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))
(exp.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)))
(exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))
(exp.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)))
(exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))
(exp.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)))
(exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))
(exp.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)))
(exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))
(exp.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)))
(exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))
(exp.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)))
(exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))
(exp.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)))
(exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))
(exp.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)))
(exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))
(exp.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)))
(exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))
(exp.f32 (-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)))
(exp.f32 6931/10000)
(+.f32 (exp.f32 6931/10000) (*.f32 -1 (/.f32 (*.f32 (exp.f32 6931/10000) (+.f32 1 (*.f32 sinTheta_O sinTheta_i))) v)))
(+.f32 (exp.f32 6931/10000) (neg.f32 (/.f32 (exp.f32 6931/10000) (/.f32 v (fma.f32 sinTheta_O sinTheta_i 1)))))
(-.f32 (exp.f32 6931/10000) (/.f32 (exp.f32 6931/10000) (/.f32 v (fma.f32 sinTheta_O sinTheta_i 1))))
(+.f32 (exp.f32 6931/10000) (+.f32 (*.f32 -1 (/.f32 (*.f32 (exp.f32 6931/10000) (+.f32 1 (*.f32 sinTheta_O sinTheta_i))) v)) (*.f32 1/2 (/.f32 (*.f32 (exp.f32 6931/10000) (pow.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) 2)) (pow.f32 v 2)))))
(+.f32 (exp.f32 6931/10000) (fma.f32 -1 (/.f32 (exp.f32 6931/10000) (/.f32 v (fma.f32 sinTheta_O sinTheta_i 1))) (*.f32 1/2 (/.f32 (exp.f32 6931/10000) (/.f32 (pow.f32 v 2) (pow.f32 (fma.f32 sinTheta_O sinTheta_i 1) 2))))))
(+.f32 (-.f32 (exp.f32 6931/10000) (/.f32 (exp.f32 6931/10000) (/.f32 v (fma.f32 sinTheta_O sinTheta_i 1)))) (/.f32 (*.f32 1/2 (exp.f32 6931/10000)) (/.f32 (pow.f32 v 2) (pow.f32 (fma.f32 sinTheta_O sinTheta_i 1) 2))))
(+.f32 (exp.f32 6931/10000) (+.f32 (*.f32 -1 (/.f32 (*.f32 (exp.f32 6931/10000) (+.f32 1 (*.f32 sinTheta_O sinTheta_i))) v)) (+.f32 (*.f32 -1/6 (/.f32 (*.f32 (exp.f32 6931/10000) (pow.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) 3)) (pow.f32 v 3))) (*.f32 1/2 (/.f32 (*.f32 (exp.f32 6931/10000) (pow.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) 2)) (pow.f32 v 2))))))
(+.f32 (exp.f32 6931/10000) (fma.f32 -1 (/.f32 (exp.f32 6931/10000) (/.f32 v (fma.f32 sinTheta_O sinTheta_i 1))) (fma.f32 -1/6 (/.f32 (exp.f32 6931/10000) (/.f32 (pow.f32 v 3) (pow.f32 (fma.f32 sinTheta_O sinTheta_i 1) 3))) (*.f32 1/2 (/.f32 (exp.f32 6931/10000) (/.f32 (pow.f32 v 2) (pow.f32 (fma.f32 sinTheta_O sinTheta_i 1) 2)))))))
(+.f32 (-.f32 (exp.f32 6931/10000) (/.f32 (exp.f32 6931/10000) (/.f32 v (fma.f32 sinTheta_O sinTheta_i 1)))) (fma.f32 1/2 (/.f32 (exp.f32 6931/10000) (/.f32 (pow.f32 v 2) (pow.f32 (fma.f32 sinTheta_O sinTheta_i 1) 2))) (/.f32 (*.f32 (*.f32 -1/6 (exp.f32 6931/10000)) (pow.f32 (fma.f32 sinTheta_O sinTheta_i 1) 3)) (pow.f32 v 3))))
(exp.f32 6931/10000)
(+.f32 (exp.f32 6931/10000) (*.f32 -1 (/.f32 (*.f32 (exp.f32 6931/10000) (-.f32 1 (*.f32 -1 (*.f32 sinTheta_O sinTheta_i)))) v)))
(+.f32 (exp.f32 6931/10000) (neg.f32 (/.f32 (exp.f32 6931/10000) (/.f32 v (fma.f32 sinTheta_O sinTheta_i 1)))))
(-.f32 (exp.f32 6931/10000) (/.f32 (exp.f32 6931/10000) (/.f32 v (fma.f32 sinTheta_O sinTheta_i 1))))
(+.f32 (exp.f32 6931/10000) (+.f32 (*.f32 -1 (/.f32 (*.f32 (exp.f32 6931/10000) (-.f32 1 (*.f32 -1 (*.f32 sinTheta_O sinTheta_i)))) v)) (*.f32 1/2 (/.f32 (*.f32 (exp.f32 6931/10000) (pow.f32 (-.f32 1 (*.f32 -1 (*.f32 sinTheta_O sinTheta_i))) 2)) (pow.f32 v 2)))))
(+.f32 (exp.f32 6931/10000) (fma.f32 -1 (/.f32 (exp.f32 6931/10000) (/.f32 v (fma.f32 sinTheta_O sinTheta_i 1))) (*.f32 1/2 (/.f32 (exp.f32 6931/10000) (/.f32 (pow.f32 v 2) (pow.f32 (fma.f32 sinTheta_O sinTheta_i 1) 2))))))
(+.f32 (-.f32 (exp.f32 6931/10000) (/.f32 (exp.f32 6931/10000) (/.f32 v (fma.f32 sinTheta_O sinTheta_i 1)))) (/.f32 (*.f32 1/2 (exp.f32 6931/10000)) (/.f32 (pow.f32 v 2) (pow.f32 (fma.f32 sinTheta_O sinTheta_i 1) 2))))
(+.f32 (exp.f32 6931/10000) (+.f32 (*.f32 -1 (/.f32 (*.f32 (exp.f32 6931/10000) (-.f32 1 (*.f32 -1 (*.f32 sinTheta_O sinTheta_i)))) v)) (+.f32 (*.f32 -1/6 (/.f32 (*.f32 (exp.f32 6931/10000) (pow.f32 (-.f32 1 (*.f32 -1 (*.f32 sinTheta_O sinTheta_i))) 3)) (pow.f32 v 3))) (*.f32 1/2 (/.f32 (*.f32 (exp.f32 6931/10000) (pow.f32 (-.f32 1 (*.f32 -1 (*.f32 sinTheta_O sinTheta_i))) 2)) (pow.f32 v 2))))))
(+.f32 (exp.f32 6931/10000) (fma.f32 -1 (/.f32 (exp.f32 6931/10000) (/.f32 v (fma.f32 sinTheta_O sinTheta_i 1))) (fma.f32 -1/6 (/.f32 (exp.f32 6931/10000) (/.f32 (pow.f32 v 3) (pow.f32 (fma.f32 sinTheta_O sinTheta_i 1) 3))) (*.f32 1/2 (/.f32 (exp.f32 6931/10000) (/.f32 (pow.f32 v 2) (pow.f32 (fma.f32 sinTheta_O sinTheta_i 1) 2)))))))
(+.f32 (-.f32 (exp.f32 6931/10000) (/.f32 (exp.f32 6931/10000) (/.f32 v (fma.f32 sinTheta_O sinTheta_i 1)))) (fma.f32 1/2 (/.f32 (exp.f32 6931/10000) (/.f32 (pow.f32 v 2) (pow.f32 (fma.f32 sinTheta_O sinTheta_i 1) 2))) (/.f32 (*.f32 (*.f32 -1/6 (exp.f32 6931/10000)) (pow.f32 (fma.f32 sinTheta_O sinTheta_i 1) 3)) (pow.f32 v 3))))
(exp.f32 (-.f32 6931/10000 (/.f32 1 v)))
(exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))
(+.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (*.f32 -1 (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) v)))
(+.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (neg.f32 (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))))) v)))
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6931/10000
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6931/10000
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(exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)))
(*.f32 (pow.f32 (cbrt.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v)))) 2) (cbrt.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v)))))
(exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)))
(*.f32 (sqrt.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v)))) (sqrt.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v)))))
(exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)))
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 cosTheta_O (/.f32 v cosTheta_i)))) (exp.f32 (/.f32 1 v)))
(exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)))
(/.f32 (neg.f32 (exp.f32 (+.f32 6931/10000 (/.f32 cosTheta_O (/.f32 v cosTheta_i))))) (neg.f32 (exp.f32 (/.f32 1 v))))
(exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)))
(pow.f32 (E.f32) (+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v)))
(pow.f32 (E.f32) (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)))
(pow.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v))) 1)
(exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)))
(pow.f32 (cbrt.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v)))) 3)
(exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)))
(pow.f32 (pow.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v))) 3) 1/3)
(exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)))
(pow.f32 (sqrt.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v)))) 2)
(exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v))) 2)) (cbrt.f32 (+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v))) 2)) (cbrt.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v))))
(pow.f32 (exp.f32 (sqrt.f32 (+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v)))) (sqrt.f32 (+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v))))
(pow.f32 (exp.f32 (sqrt.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)))) (sqrt.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v))))
(sqrt.f32 (pow.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v))) 2))
(sqrt.f32 (pow.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v))) 2))
(fabs.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v))))
(log.f32 (exp.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v)))))
(exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)))
(log.f32 (+.f32 1 (expm1.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v))))))
(exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)))
(cbrt.f32 (pow.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v))) 3))
(exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)))
(expm1.f32 (log1p.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v)))))
(expm1.f32 (log1p.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)))))
(log1p.f32 (expm1.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v)))))
(exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)))

eval249.0ms (2%)

Compiler

Compiled 12442 to 7947 computations (36.1% saved)

prune245.0ms (1.9%)

Pruning

15 alts after pruning (13 fresh and 2 done)

PrunedKeptTotal
New5344538
Fresh1910
Picked325
Done000
Total53815553
Accuracy
99.9%
Counts
553 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.1%
(pow.f32 (cbrt.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (+.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (log.f32 (/.f32 1/2 v))) (/.f32 1 v))))) 3)
6.3%
(-.f32 1 (*.f32 (/.f32 sinTheta_O v) sinTheta_i))
6.3%
(+.f32 1 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
99.1%
(*.f32 (/.f32 1/2 v) (pow.f32 (E.f32) (+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v))))
99.5%
(*.f32 1/2 (/.f32 (pow.f32 (exp.f32 1) (-.f32 6931/10000 (/.f32 1 v))) v))
99.4%
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))
99.7%
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (neg.f32 (/.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) v)))) v))
97.8%
(*.f32 1/2 (/.f32 (exp.f32 (neg.f32 (/.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) v))) v))
97.5%
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v))
15.8%
(exp.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)))
99.1%
(exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v)))
99.4%
(exp.f32 (+.f32 (-.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (+.f32 (/.f32 1 (/.f32 (/.f32 v sinTheta_O) sinTheta_i)) (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
11.2%
(exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O)))
97.5%
(exp.f32 (*.f32 -1 (/.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) v)))
6.5%
1
Compiler

Compiled 470 to 375 computations (20.2% saved)

localize689.0ms (5.4%)

Localize:

Found 14 expressions with local error:

NewAccuracyProgram
100.0%
(/.f32 (pow.f32 (exp.f32 1) (-.f32 6931/10000 (/.f32 1 v))) v)
99.9%
(-.f32 6931/10000 (/.f32 1 v))
99.7%
(pow.f32 (exp.f32 1) (-.f32 6931/10000 (/.f32 1 v)))
100.0%
(/.f32 (exp.f32 (neg.f32 (/.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) v))) v)
100.0%
(*.f32 sinTheta_O sinTheta_i)
99.7%
(exp.f32 (neg.f32 (/.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) v)))
100.0%
(*.f32 cosTheta_O cosTheta_i)
99.7%
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v))
99.9%
(-.f32 1 (*.f32 (/.f32 sinTheta_O v) sinTheta_i))
99.2%
(*.f32 (/.f32 sinTheta_O v) sinTheta_i)
100.0%
(/.f32 (exp.f32 (+.f32 6931/10000 (neg.f32 (/.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) v)))) v)
100.0%
(*.f32 sinTheta_O sinTheta_i)
99.9%
(+.f32 6931/10000 (neg.f32 (/.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) v)))
99.7%
(exp.f32 (+.f32 6931/10000 (neg.f32 (/.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) v))))
Compiler

Compiled 235 to 132 computations (43.8% saved)

series89.0ms (0.7%)

Counts
11 → 295
Calls

81 calls:

TimeVariablePointExpression
20.0ms
sinTheta_O
@-inf
(/.f32 (exp.f32 (neg.f32 (/.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) v))) v)
4.0ms
sinTheta_i
@0
(*.f32 (/.f32 sinTheta_O v) sinTheta_i)
3.0ms
v
@0
(/.f32 (pow.f32 (exp.f32 1) (-.f32 6931/10000 (/.f32 1 v))) v)
2.0ms
sinTheta_O
@0
(/.f32 (exp.f32 (+.f32 6931/10000 (neg.f32 (/.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) v)))) v)
2.0ms
sinTheta_O
@inf
(exp.f32 (+.f32 6931/10000 (neg.f32 (/.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) v))))

rewrite135.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
284×log1p-expm1-u
284×expm1-log1p-u
282×add-exp-log
280×add-log-exp
276×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
037343
1629315
Stop Event
node limit
Counts
11 → 293
Calls
Call 1
Inputs
(exp.f32 (+.f32 6931/10000 (neg.f32 (/.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) v))))
(+.f32 6931/10000 (neg.f32 (/.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) v)))
(/.f32 (exp.f32 (+.f32 6931/10000 (neg.f32 (/.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) v)))) v)
(*.f32 (/.f32 sinTheta_O v) sinTheta_i)
(-.f32 1 (*.f32 (/.f32 sinTheta_O v) sinTheta_i))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v))
(exp.f32 (neg.f32 (/.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) v)))
(/.f32 (exp.f32 (neg.f32 (/.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) v))) v)
(pow.f32 (exp.f32 1) (-.f32 6931/10000 (/.f32 1 v)))
(-.f32 6931/10000 (/.f32 1 v))
(/.f32 (pow.f32 (exp.f32 1) (-.f32 6931/10000 (/.f32 1 v))) v)
Outputs
(-.f32 (exp.f32 (log1p.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))))) 1)
(*.f32 1 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))))
(*.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)) (exp.f32 6931/10000))
(*.f32 (exp.f32 6931/10000) (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)))
(*.f32 (pow.f32 (cbrt.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)))) 2) (cbrt.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)))))
(*.f32 (sqrt.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)))) (sqrt.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)))))
(*.f32 (*.f32 (exp.f32 6931/10000) 1) (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)))
(*.f32 (*.f32 (exp.f32 6931/10000) (pow.f32 (cbrt.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))) 2)) (cbrt.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))))
(*.f32 (*.f32 (exp.f32 6931/10000) (sqrt.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)))) (sqrt.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))))
(/.f32 (exp.f32 6931/10000) (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)))
(pow.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))) 1)
(pow.f32 (E.f32) (+.f32 6931/10000 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)))
(pow.f32 (cbrt.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)))) 3)
(pow.f32 (pow.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))) 3) 1/3)
(pow.f32 (sqrt.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)))) 2)
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (+.f32 6931/10000 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))) 2)) (cbrt.f32 (+.f32 6931/10000 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))))
(pow.f32 (exp.f32 (sqrt.f32 (+.f32 6931/10000 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)))) (sqrt.f32 (+.f32 6931/10000 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))))
(sqrt.f32 (pow.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))) 2))
(log.f32 (exp.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)))))
(log.f32 (+.f32 1 (expm1.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))))))
(cbrt.f32 (pow.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))) 3))
(expm1.f32 (log1p.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)))))
(log1p.f32 (expm1.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)))))
(-.f32 6931/10000 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))
(-.f32 0 (-.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v) 6931/10000))
(-.f32 (exp.f32 (log1p.f32 (+.f32 6931/10000 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)))) 1)
(-.f32 (/.f32 48038761/100000000 (+.f32 6931/10000 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))) (/.f32 (pow.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v) 2) (+.f32 6931/10000 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))))
(*.f32 1 (+.f32 6931/10000 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)))
(*.f32 (pow.f32 (cbrt.f32 (+.f32 6931/10000 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))) 2) (cbrt.f32 (+.f32 6931/10000 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))))
(*.f32 (sqrt.f32 (+.f32 6931/10000 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))) (sqrt.f32 (+.f32 6931/10000 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))))
(*.f32 (+.f32 332956652491/1000000000000 (pow.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v) 3)) (/.f32 1 (+.f32 48038761/100000000 (*.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v) (-.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v) 6931/10000)))))
(*.f32 (+.f32 48038761/100000000 (pow.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v) 2)) (/.f32 1 (+.f32 6931/10000 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))))
(/.f32 1 (/.f32 (+.f32 48038761/100000000 (*.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v) (-.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v) 6931/10000))) (+.f32 332956652491/1000000000000 (pow.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v) 3))))
(/.f32 1 (/.f32 (+.f32 6931/10000 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)) (+.f32 48038761/100000000 (pow.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v) 2))))
(/.f32 (+.f32 332956652491/1000000000000 (pow.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v) 3)) (+.f32 48038761/100000000 (*.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v) (-.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v) 6931/10000))))
(/.f32 (+.f32 48038761/100000000 (pow.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v) 2)) (+.f32 6931/10000 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)))
(/.f32 (neg.f32 (+.f32 332956652491/1000000000000 (pow.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v) 3))) (neg.f32 (+.f32 48038761/100000000 (*.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v) (-.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v) 6931/10000)))))
(/.f32 (neg.f32 (+.f32 48038761/100000000 (pow.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v) 2))) (neg.f32 (+.f32 6931/10000 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))))
(/.f32 (+.f32 (pow.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v) 3) 332956652491/1000000000000) (+.f32 (pow.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v) 2) (-.f32 48038761/100000000 (*.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v) 6931/10000))))
(/.f32 (-.f32 332956652491/1000000000000 (pow.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v) 3)) (+.f32 48038761/100000000 (*.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v) (-.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v) 6931/10000))))
(/.f32 (-.f32 (pow.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v) 2) 48038761/100000000) (-.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v) 6931/10000))
(pow.f32 (+.f32 6931/10000 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)) 1)
(pow.f32 (cbrt.f32 (+.f32 6931/10000 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))) 3)
(pow.f32 (pow.f32 (+.f32 6931/10000 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)) 3) 1/3)
(pow.f32 (sqrt.f32 (+.f32 6931/10000 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))) 2)
(sqrt.f32 (pow.f32 (+.f32 6931/10000 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)) 2))
(log.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))))
(log.f32 (+.f32 1 (expm1.f32 (+.f32 6931/10000 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)))))
(cbrt.f32 (pow.f32 (+.f32 6931/10000 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)) 3))
(expm1.f32 (log1p.f32 (+.f32 6931/10000 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))))
(log1p.f32 (expm1.f32 (+.f32 6931/10000 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))))
(exp.f32 (log.f32 (+.f32 6931/10000 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))))
(exp.f32 (*.f32 (log.f32 (+.f32 6931/10000 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))) 1))
(fma.f32 1 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v) 6931/10000)
(fma.f32 -1 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v) 6931/10000)
(fma.f32 (pow.f32 (cbrt.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)) 2) (cbrt.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)) 6931/10000)
(fma.f32 (sqrt.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)) (sqrt.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)) 6931/10000)
(-.f32 (exp.f32 (log1p.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))) v))) 1)
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(*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))) (/.f32 1 v))
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(log1p.f32 (expm1.f32 (/.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)) v)))
(exp.f32 (-.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v) (log.f32 v)))
(exp.f32 (*.f32 (-.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v) (log.f32 v)) 1))
(-.f32 (exp.f32 (log1p.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))))) 1)
(*.f32 1 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))))
(*.f32 (exp.f32 6931/10000) (/.f32 1 (exp.f32 (/.f32 1 v))))
(*.f32 (exp.f32 6931/10000) (pow.f32 (E.f32) (/.f32 -1 v)))
(*.f32 (exp.f32 6931/10000) (exp.f32 (/.f32 -1 v)))
(*.f32 (pow.f32 (cbrt.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) 2) (cbrt.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))))
(*.f32 (sqrt.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) (sqrt.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))))
(*.f32 (pow.f32 1 (+.f32 6931/10000 (/.f32 -1 v))) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))))
(*.f32 (pow.f32 (cbrt.f32 (exp.f32 2)) (+.f32 6931/10000 (/.f32 -1 v))) (pow.f32 (cbrt.f32 (E.f32)) (+.f32 6931/10000 (/.f32 -1 v))))
(*.f32 (pow.f32 (sqrt.f32 (E.f32)) (+.f32 6931/10000 (/.f32 -1 v))) (pow.f32 (sqrt.f32 (E.f32)) (+.f32 6931/10000 (/.f32 -1 v))))
(/.f32 1 (/.f32 (exp.f32 (/.f32 1 v)) (exp.f32 6931/10000)))
(/.f32 (exp.f32 6931/10000) (exp.f32 (/.f32 1 v)))
(/.f32 (neg.f32 (exp.f32 6931/10000)) (neg.f32 (exp.f32 (/.f32 1 v))))
(sqrt.f32 (pow.f32 (exp.f32 2) (+.f32 6931/10000 (/.f32 -1 v))))
(log.f32 (exp.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))))
(log.f32 (+.f32 1 (expm1.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))))))
(cbrt.f32 (pow.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 3))
(expm1.f32 (log1p.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))))
(log1p.f32 (expm1.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))))
(exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))
(+.f32 6931/10000 (/.f32 -1 v))
(+.f32 6931/10000 (*.f32 (/.f32 -1 v) 1))
(+.f32 0 (+.f32 6931/10000 (/.f32 -1 v)))
(+.f32 (-.f32 6931/20000 (/.f32 (/.f32 1 v) 2)) (-.f32 6931/20000 (/.f32 (/.f32 1 v) 2)))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) 2)) (log.f32 (cbrt.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))))))
(*.f32 1 (+.f32 6931/10000 (/.f32 -1 v)))
(*.f32 (+.f32 6931/10000 (/.f32 -1 v)) 1)
(*.f32 (pow.f32 (cbrt.f32 (+.f32 6931/10000 (/.f32 -1 v))) 2) (cbrt.f32 (+.f32 6931/10000 (/.f32 -1 v))))
(*.f32 (sqrt.f32 (+.f32 6931/10000 (/.f32 -1 v))) (sqrt.f32 (+.f32 6931/10000 (/.f32 -1 v))))
(*.f32 (-.f32 332956652491/1000000000000 (pow.f32 v -3)) (/.f32 1 (+.f32 48038761/100000000 (+.f32 (pow.f32 v -2) (/.f32 6931/10000 v)))))
(*.f32 (-.f32 48038761/100000000 (pow.f32 v -2)) (/.f32 1 (+.f32 6931/10000 (/.f32 1 v))))
(/.f32 1 (/.f32 (+.f32 48038761/100000000 (+.f32 (pow.f32 v -2) (/.f32 6931/10000 v))) (-.f32 332956652491/1000000000000 (pow.f32 v -3))))
(/.f32 1 (/.f32 (+.f32 6931/10000 (/.f32 1 v)) (-.f32 48038761/100000000 (pow.f32 v -2))))
(/.f32 (-.f32 332956652491/1000000000000 (pow.f32 v -3)) (+.f32 48038761/100000000 (+.f32 (pow.f32 v -2) (/.f32 6931/10000 v))))
(/.f32 (-.f32 48038761/100000000 (pow.f32 v -2)) (+.f32 6931/10000 (/.f32 1 v)))
(/.f32 (neg.f32 (-.f32 332956652491/1000000000000 (pow.f32 v -3))) (neg.f32 (+.f32 48038761/100000000 (+.f32 (pow.f32 v -2) (/.f32 6931/10000 v)))))
(/.f32 (neg.f32 (-.f32 48038761/100000000 (pow.f32 v -2))) (neg.f32 (+.f32 6931/10000 (/.f32 1 v))))
(/.f32 (+.f32 332956652491/1000000000000 (pow.f32 (/.f32 -1 v) 3)) (+.f32 48038761/100000000 (-.f32 (*.f32 (/.f32 -1 v) (/.f32 -1 v)) (*.f32 6931/10000 (/.f32 -1 v)))))
(/.f32 (-.f32 48038761/100000000 (*.f32 (/.f32 -1 v) (/.f32 -1 v))) (-.f32 6931/10000 (/.f32 -1 v)))
(pow.f32 (+.f32 6931/10000 (/.f32 -1 v)) 1)
(pow.f32 (cbrt.f32 (+.f32 6931/10000 (/.f32 -1 v))) 3)
(pow.f32 (pow.f32 (+.f32 6931/10000 (/.f32 -1 v)) 3) 1/3)
(pow.f32 (sqrt.f32 (+.f32 6931/10000 (/.f32 -1 v))) 2)
(sqrt.f32 (pow.f32 (+.f32 6931/10000 (/.f32 -1 v)) 2))
(log.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))))
(log.f32 (+.f32 1 (expm1.f32 (+.f32 6931/10000 (/.f32 -1 v)))))
(cbrt.f32 (pow.f32 (+.f32 6931/10000 (/.f32 -1 v)) 3))
(expm1.f32 (log1p.f32 (+.f32 6931/10000 (/.f32 -1 v))))
(log1p.f32 (expm1.f32 (+.f32 6931/10000 (/.f32 -1 v))))
(exp.f32 (log.f32 (+.f32 6931/10000 (/.f32 -1 v))))
(exp.f32 (*.f32 (log.f32 (+.f32 6931/10000 (/.f32 -1 v))) 1))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v))) 1)
(*.f32 1 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v))
(*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (/.f32 1 v))
(*.f32 (pow.f32 (cbrt.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)) 2) (cbrt.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)))
(*.f32 (pow.f32 v -1/2) (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (sqrt.f32 v)))
(*.f32 (sqrt.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)) (sqrt.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)))
(*.f32 (neg.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) (/.f32 -1 v))
(*.f32 (*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 1) (/.f32 1 v))
(*.f32 (/.f32 1 (pow.f32 (cbrt.f32 v) 2)) (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (cbrt.f32 v)))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) 2) 1) (/.f32 (cbrt.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) v))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) 2) (pow.f32 (cbrt.f32 v) 2)) (cbrt.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) 2) (sqrt.f32 v)) (/.f32 (cbrt.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) (sqrt.f32 v)))
(*.f32 (/.f32 (sqrt.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) 1) (/.f32 (sqrt.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) v))
(*.f32 (/.f32 (sqrt.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) (pow.f32 (cbrt.f32 v) 2)) (/.f32 (sqrt.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) (cbrt.f32 v)))
(*.f32 (*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (cbrt.f32 (pow.f32 v -2))) (/.f32 1 (cbrt.f32 v)))
(*.f32 (*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (pow.f32 v -1/2)) (pow.f32 v -1/2))
(pow.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) 1)
(pow.f32 (cbrt.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)) 3)
(pow.f32 (pow.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) 3) 1/3)
(pow.f32 (sqrt.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)) 2)
(pow.f32 (/.f32 v (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) -1)
(neg.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (neg.f32 v)))
(sqrt.f32 (pow.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) 2))
(log.f32 (exp.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)))
(log.f32 (+.f32 1 (expm1.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v))))
(cbrt.f32 (pow.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) 3))
(cbrt.f32 (*.f32 (pow.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 3) (pow.f32 v -3)))
(cbrt.f32 (/.f32 (pow.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 3) (pow.f32 v 3)))
(expm1.f32 (log1p.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)))
(log1p.f32 (expm1.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)))
(exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 -1 v)) (log.f32 v)))
(exp.f32 (*.f32 (-.f32 (+.f32 6931/10000 (/.f32 -1 v)) (log.f32 v)) 1))

simplify215.0ms (1.7%)

Algorithm
egg-herbie
Rules
585×associate-*r*
530×associate-*l*
341×times-frac
284×fma-define
252×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
083827459
1215926138
Stop Event
node limit
Counts
588 → 541
Calls
Call 1
Inputs
(exp.f32 (-.f32 6931/10000 (/.f32 1 v)))
(+.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (*.f32 -1 (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) v)))
(+.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) v)) (*.f32 1/2 (/.f32 (*.f32 (pow.f32 sinTheta_O 2) (*.f32 (pow.f32 sinTheta_i 2) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 2)))))
(+.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) v)) (+.f32 (*.f32 -1/6 (/.f32 (*.f32 (pow.f32 sinTheta_O 3) (*.f32 (pow.f32 sinTheta_i 3) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 3))) (*.f32 1/2 (/.f32 (*.f32 (pow.f32 sinTheta_O 2) (*.f32 (pow.f32 sinTheta_i 2) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 2))))))
(exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 6931/10000 (/.f32 1 v)))
(+.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (*.f32 -1 (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) v)))
(+.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) v)) (*.f32 1/2 (/.f32 (*.f32 (pow.f32 sinTheta_O 2) (*.f32 (pow.f32 sinTheta_i 2) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 2)))))
(+.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) v)) (+.f32 (*.f32 -1/6 (/.f32 (*.f32 (pow.f32 sinTheta_O 3) (*.f32 (pow.f32 sinTheta_i 3) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 3))) (*.f32 1/2 (/.f32 (*.f32 (pow.f32 sinTheta_O 2) (*.f32 (pow.f32 sinTheta_i 2) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 2))))))
(exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 6931/10000)
(+.f32 (exp.f32 6931/10000) (*.f32 -1 (/.f32 (*.f32 (exp.f32 6931/10000) (+.f32 1 (*.f32 sinTheta_O sinTheta_i))) v)))
(+.f32 (exp.f32 6931/10000) (+.f32 (*.f32 -1 (/.f32 (*.f32 (exp.f32 6931/10000) (+.f32 1 (*.f32 sinTheta_O sinTheta_i))) v)) (*.f32 1/2 (/.f32 (*.f32 (exp.f32 6931/10000) (pow.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) 2)) (pow.f32 v 2)))))
(+.f32 (exp.f32 6931/10000) (+.f32 (*.f32 -1 (/.f32 (*.f32 (exp.f32 6931/10000) (+.f32 1 (*.f32 sinTheta_O sinTheta_i))) v)) (+.f32 (*.f32 -1/6 (/.f32 (*.f32 (exp.f32 6931/10000) (pow.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) 3)) (pow.f32 v 3))) (*.f32 1/2 (/.f32 (*.f32 (exp.f32 6931/10000) (pow.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) 2)) (pow.f32 v 2))))))
(exp.f32 6931/10000)
(+.f32 (exp.f32 6931/10000) (*.f32 -1 (/.f32 (*.f32 (exp.f32 6931/10000) (+.f32 1 (*.f32 sinTheta_O sinTheta_i))) v)))
(+.f32 (exp.f32 6931/10000) (+.f32 (*.f32 -1 (/.f32 (*.f32 (exp.f32 6931/10000) (+.f32 1 (*.f32 sinTheta_O sinTheta_i))) v)) (*.f32 1/2 (/.f32 (*.f32 (exp.f32 6931/10000) (pow.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) 2)) (pow.f32 v 2)))))
(+.f32 (exp.f32 6931/10000) (+.f32 (*.f32 -1 (/.f32 (*.f32 (exp.f32 6931/10000) (+.f32 1 (*.f32 sinTheta_O sinTheta_i))) v)) (+.f32 (*.f32 -1/6 (/.f32 (*.f32 (exp.f32 6931/10000) (pow.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) 3)) (pow.f32 v 3))) (*.f32 1/2 (/.f32 (*.f32 (exp.f32 6931/10000) (pow.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) 2)) (pow.f32 v 2))))))
(-.f32 6931/10000 (/.f32 1 v))
(-.f32 (+.f32 6931/10000 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (/.f32 1 v))
(-.f32 (+.f32 6931/10000 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (/.f32 1 v))
(-.f32 (+.f32 6931/10000 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (/.f32 1 v))
(*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(-.f32 (+.f32 6931/10000 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (/.f32 1 v))
(-.f32 (+.f32 6931/10000 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (/.f32 1 v))
(-.f32 (+.f32 6931/10000 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (/.f32 1 v))
(*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(-.f32 (+.f32 6931/10000 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (/.f32 1 v))
(-.f32 (+.f32 6931/10000 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (/.f32 1 v))
(-.f32 (+.f32 6931/10000 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (/.f32 1 v))
(-.f32 6931/10000 (/.f32 1 v))
(-.f32 (+.f32 6931/10000 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (/.f32 1 v))
(-.f32 (+.f32 6931/10000 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (/.f32 1 v))
(-.f32 (+.f32 6931/10000 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (/.f32 1 v))
(*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(-.f32 (+.f32 6931/10000 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (/.f32 1 v))
(-.f32 (+.f32 6931/10000 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (/.f32 1 v))
(-.f32 (+.f32 6931/10000 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (/.f32 1 v))
(*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(-.f32 (+.f32 6931/10000 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (/.f32 1 v))
(-.f32 (+.f32 6931/10000 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (/.f32 1 v))
(-.f32 (+.f32 6931/10000 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (/.f32 1 v))
(*.f32 -1 (/.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) v))
(+.f32 6931/10000 (*.f32 -1 (/.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) v)))
(+.f32 6931/10000 (*.f32 -1 (/.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) v)))
(+.f32 6931/10000 (*.f32 -1 (/.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) v)))
6931/10000
(+.f32 6931/10000 (*.f32 -1 (/.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) v)))
(+.f32 6931/10000 (*.f32 -1 (/.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) v)))
(+.f32 6931/10000 (*.f32 -1 (/.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) v)))
6931/10000
(+.f32 6931/10000 (*.f32 -1 (/.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) v)))
(+.f32 6931/10000 (*.f32 -1 (/.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) v)))
(+.f32 6931/10000 (*.f32 -1 (/.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) v)))
(/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)
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1
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(*.f32 (exp.f32 6931/10000) (exp.f32 (/.f32 -1 v)))
(*.f32 (pow.f32 (cbrt.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) 2) (cbrt.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))))
(*.f32 (sqrt.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) (sqrt.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))))
(*.f32 (pow.f32 1 (+.f32 6931/10000 (/.f32 -1 v))) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))))
(*.f32 (pow.f32 (cbrt.f32 (exp.f32 2)) (+.f32 6931/10000 (/.f32 -1 v))) (pow.f32 (cbrt.f32 (E.f32)) (+.f32 6931/10000 (/.f32 -1 v))))
(*.f32 (pow.f32 (sqrt.f32 (E.f32)) (+.f32 6931/10000 (/.f32 -1 v))) (pow.f32 (sqrt.f32 (E.f32)) (+.f32 6931/10000 (/.f32 -1 v))))
(/.f32 1 (/.f32 (exp.f32 (/.f32 1 v)) (exp.f32 6931/10000)))
(/.f32 (exp.f32 6931/10000) (exp.f32 (/.f32 1 v)))
(/.f32 (neg.f32 (exp.f32 6931/10000)) (neg.f32 (exp.f32 (/.f32 1 v))))
(sqrt.f32 (pow.f32 (exp.f32 2) (+.f32 6931/10000 (/.f32 -1 v))))
(log.f32 (exp.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))))
(log.f32 (+.f32 1 (expm1.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))))))
(cbrt.f32 (pow.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 3))
(expm1.f32 (log1p.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))))
(log1p.f32 (expm1.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))))
(exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))
(+.f32 6931/10000 (/.f32 -1 v))
(+.f32 6931/10000 (*.f32 (/.f32 -1 v) 1))
(+.f32 0 (+.f32 6931/10000 (/.f32 -1 v)))
(+.f32 (-.f32 6931/20000 (/.f32 (/.f32 1 v) 2)) (-.f32 6931/20000 (/.f32 (/.f32 1 v) 2)))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) 2)) (log.f32 (cbrt.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))))))
(*.f32 1 (+.f32 6931/10000 (/.f32 -1 v)))
(*.f32 (+.f32 6931/10000 (/.f32 -1 v)) 1)
(*.f32 (pow.f32 (cbrt.f32 (+.f32 6931/10000 (/.f32 -1 v))) 2) (cbrt.f32 (+.f32 6931/10000 (/.f32 -1 v))))
(*.f32 (sqrt.f32 (+.f32 6931/10000 (/.f32 -1 v))) (sqrt.f32 (+.f32 6931/10000 (/.f32 -1 v))))
(*.f32 (-.f32 332956652491/1000000000000 (pow.f32 v -3)) (/.f32 1 (+.f32 48038761/100000000 (+.f32 (pow.f32 v -2) (/.f32 6931/10000 v)))))
(*.f32 (-.f32 48038761/100000000 (pow.f32 v -2)) (/.f32 1 (+.f32 6931/10000 (/.f32 1 v))))
(/.f32 1 (/.f32 (+.f32 48038761/100000000 (+.f32 (pow.f32 v -2) (/.f32 6931/10000 v))) (-.f32 332956652491/1000000000000 (pow.f32 v -3))))
(/.f32 1 (/.f32 (+.f32 6931/10000 (/.f32 1 v)) (-.f32 48038761/100000000 (pow.f32 v -2))))
(/.f32 (-.f32 332956652491/1000000000000 (pow.f32 v -3)) (+.f32 48038761/100000000 (+.f32 (pow.f32 v -2) (/.f32 6931/10000 v))))
(/.f32 (-.f32 48038761/100000000 (pow.f32 v -2)) (+.f32 6931/10000 (/.f32 1 v)))
(/.f32 (neg.f32 (-.f32 332956652491/1000000000000 (pow.f32 v -3))) (neg.f32 (+.f32 48038761/100000000 (+.f32 (pow.f32 v -2) (/.f32 6931/10000 v)))))
(/.f32 (neg.f32 (-.f32 48038761/100000000 (pow.f32 v -2))) (neg.f32 (+.f32 6931/10000 (/.f32 1 v))))
(/.f32 (+.f32 332956652491/1000000000000 (pow.f32 (/.f32 -1 v) 3)) (+.f32 48038761/100000000 (-.f32 (*.f32 (/.f32 -1 v) (/.f32 -1 v)) (*.f32 6931/10000 (/.f32 -1 v)))))
(/.f32 (-.f32 48038761/100000000 (*.f32 (/.f32 -1 v) (/.f32 -1 v))) (-.f32 6931/10000 (/.f32 -1 v)))
(pow.f32 (+.f32 6931/10000 (/.f32 -1 v)) 1)
(pow.f32 (cbrt.f32 (+.f32 6931/10000 (/.f32 -1 v))) 3)
(pow.f32 (pow.f32 (+.f32 6931/10000 (/.f32 -1 v)) 3) 1/3)
(pow.f32 (sqrt.f32 (+.f32 6931/10000 (/.f32 -1 v))) 2)
(sqrt.f32 (pow.f32 (+.f32 6931/10000 (/.f32 -1 v)) 2))
(log.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))))
(log.f32 (+.f32 1 (expm1.f32 (+.f32 6931/10000 (/.f32 -1 v)))))
(cbrt.f32 (pow.f32 (+.f32 6931/10000 (/.f32 -1 v)) 3))
(expm1.f32 (log1p.f32 (+.f32 6931/10000 (/.f32 -1 v))))
(log1p.f32 (expm1.f32 (+.f32 6931/10000 (/.f32 -1 v))))
(exp.f32 (log.f32 (+.f32 6931/10000 (/.f32 -1 v))))
(exp.f32 (*.f32 (log.f32 (+.f32 6931/10000 (/.f32 -1 v))) 1))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v))) 1)
(*.f32 1 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v))
(*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (/.f32 1 v))
(*.f32 (pow.f32 (cbrt.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)) 2) (cbrt.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)))
(*.f32 (pow.f32 v -1/2) (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (sqrt.f32 v)))
(*.f32 (sqrt.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)) (sqrt.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)))
(*.f32 (neg.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) (/.f32 -1 v))
(*.f32 (*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 1) (/.f32 1 v))
(*.f32 (/.f32 1 (pow.f32 (cbrt.f32 v) 2)) (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (cbrt.f32 v)))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) 2) 1) (/.f32 (cbrt.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) v))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) 2) (pow.f32 (cbrt.f32 v) 2)) (cbrt.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) 2) (sqrt.f32 v)) (/.f32 (cbrt.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) (sqrt.f32 v)))
(*.f32 (/.f32 (sqrt.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) 1) (/.f32 (sqrt.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) v))
(*.f32 (/.f32 (sqrt.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) (pow.f32 (cbrt.f32 v) 2)) (/.f32 (sqrt.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) (cbrt.f32 v)))
(*.f32 (*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (cbrt.f32 (pow.f32 v -2))) (/.f32 1 (cbrt.f32 v)))
(*.f32 (*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (pow.f32 v -1/2)) (pow.f32 v -1/2))
(pow.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) 1)
(pow.f32 (cbrt.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)) 3)
(pow.f32 (pow.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) 3) 1/3)
(pow.f32 (sqrt.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)) 2)
(pow.f32 (/.f32 v (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) -1)
(neg.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (neg.f32 v)))
(sqrt.f32 (pow.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) 2))
(log.f32 (exp.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)))
(log.f32 (+.f32 1 (expm1.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v))))
(cbrt.f32 (pow.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) 3))
(cbrt.f32 (*.f32 (pow.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 3) (pow.f32 v -3)))
(cbrt.f32 (/.f32 (pow.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 3) (pow.f32 v 3)))
(expm1.f32 (log1p.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)))
(log1p.f32 (expm1.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)))
(exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 -1 v)) (log.f32 v)))
(exp.f32 (*.f32 (-.f32 (+.f32 6931/10000 (/.f32 -1 v)) (log.f32 v)) 1))
Outputs
(exp.f32 (-.f32 6931/10000 (/.f32 1 v)))
(exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))
(+.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (*.f32 -1 (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) v)))
(+.f32 (neg.f32 (/.f32 sinTheta_O (/.f32 v (*.f32 sinTheta_i (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))))) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))
(-.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (/.f32 sinTheta_O (/.f32 v (*.f32 sinTheta_i (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))))))
(+.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) v)) (*.f32 1/2 (/.f32 (*.f32 (pow.f32 sinTheta_O 2) (*.f32 (pow.f32 sinTheta_i 2) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 2)))))
(+.f32 (fma.f32 -1 (/.f32 sinTheta_O (/.f32 v (*.f32 sinTheta_i (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))))) (*.f32 1/2 (/.f32 (pow.f32 sinTheta_O 2) (/.f32 (pow.f32 v 2) (*.f32 (pow.f32 sinTheta_i 2) (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))))))) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))
(+.f32 (-.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (/.f32 sinTheta_O (/.f32 v (*.f32 sinTheta_i (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))))))) (/.f32 (*.f32 (*.f32 1/2 (pow.f32 sinTheta_O 2)) (*.f32 (pow.f32 sinTheta_i 2) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))))) (pow.f32 v 2)))
(+.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) v)) (+.f32 (*.f32 -1/6 (/.f32 (*.f32 (pow.f32 sinTheta_O 3) (*.f32 (pow.f32 sinTheta_i 3) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 3))) (*.f32 1/2 (/.f32 (*.f32 (pow.f32 sinTheta_O 2) (*.f32 (pow.f32 sinTheta_i 2) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 2))))))
(+.f32 (fma.f32 -1 (/.f32 sinTheta_O (/.f32 v (*.f32 sinTheta_i (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))))) (fma.f32 -1/6 (/.f32 (pow.f32 sinTheta_O 3) (/.f32 (pow.f32 v 3) (*.f32 (pow.f32 sinTheta_i 3) (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))))) (*.f32 1/2 (/.f32 (pow.f32 sinTheta_O 2) (/.f32 (pow.f32 v 2) (*.f32 (pow.f32 sinTheta_i 2) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))))))) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))
(+.f32 (-.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (/.f32 sinTheta_O (/.f32 v (*.f32 sinTheta_i (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))))))) (fma.f32 1/2 (/.f32 (pow.f32 sinTheta_O 2) (/.f32 (pow.f32 v 2) (*.f32 (pow.f32 sinTheta_i 2) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))))) (/.f32 (*.f32 -1/6 (pow.f32 sinTheta_O 3)) (/.f32 (pow.f32 v 3) (*.f32 (pow.f32 sinTheta_i 3) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))))))))
(exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 sinTheta_O (/.f32 v sinTheta_i)))))
(exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 -1 v) (*.f32 (/.f32 sinTheta_i v) sinTheta_O))))
(exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 sinTheta_O (/.f32 v sinTheta_i)))))
(exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 -1 v) (*.f32 (/.f32 sinTheta_i v) sinTheta_O))))
(exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 sinTheta_O (/.f32 v sinTheta_i)))))
(exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 -1 v) (*.f32 (/.f32 sinTheta_i v) sinTheta_O))))
(exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 sinTheta_O (/.f32 v sinTheta_i)))))
(exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 -1 v) (*.f32 (/.f32 sinTheta_i v) sinTheta_O))))
(exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 sinTheta_O (/.f32 v sinTheta_i)))))
(exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 -1 v) (*.f32 (/.f32 sinTheta_i v) sinTheta_O))))
(exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 sinTheta_O (/.f32 v sinTheta_i)))))
(exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 -1 v) (*.f32 (/.f32 sinTheta_i v) sinTheta_O))))
(exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 sinTheta_O (/.f32 v sinTheta_i)))))
(exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 -1 v) (*.f32 (/.f32 sinTheta_i v) sinTheta_O))))
(exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 sinTheta_O (/.f32 v sinTheta_i)))))
(exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 -1 v) (*.f32 (/.f32 sinTheta_i v) sinTheta_O))))
(exp.f32 (-.f32 6931/10000 (/.f32 1 v)))
(exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))
(+.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (*.f32 -1 (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) v)))
(+.f32 (neg.f32 (/.f32 sinTheta_O (/.f32 v (*.f32 sinTheta_i (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))))) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))
(-.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (/.f32 sinTheta_O (/.f32 v (*.f32 sinTheta_i (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))))))
(+.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) v)) (*.f32 1/2 (/.f32 (*.f32 (pow.f32 sinTheta_O 2) (*.f32 (pow.f32 sinTheta_i 2) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 2)))))
(+.f32 (fma.f32 -1 (/.f32 sinTheta_O (/.f32 v (*.f32 sinTheta_i (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))))) (*.f32 1/2 (/.f32 (pow.f32 sinTheta_O 2) (/.f32 (pow.f32 v 2) (*.f32 (pow.f32 sinTheta_i 2) (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))))))) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))
(+.f32 (-.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (/.f32 sinTheta_O (/.f32 v (*.f32 sinTheta_i (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))))))) (/.f32 (*.f32 (*.f32 1/2 (pow.f32 sinTheta_O 2)) (*.f32 (pow.f32 sinTheta_i 2) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))))) (pow.f32 v 2)))
(+.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) v)) (+.f32 (*.f32 -1/6 (/.f32 (*.f32 (pow.f32 sinTheta_O 3) (*.f32 (pow.f32 sinTheta_i 3) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 3))) (*.f32 1/2 (/.f32 (*.f32 (pow.f32 sinTheta_O 2) (*.f32 (pow.f32 sinTheta_i 2) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 2))))))
(+.f32 (fma.f32 -1 (/.f32 sinTheta_O (/.f32 v (*.f32 sinTheta_i (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))))) (fma.f32 -1/6 (/.f32 (pow.f32 sinTheta_O 3) (/.f32 (pow.f32 v 3) (*.f32 (pow.f32 sinTheta_i 3) (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))))) (*.f32 1/2 (/.f32 (pow.f32 sinTheta_O 2) (/.f32 (pow.f32 v 2) (*.f32 (pow.f32 sinTheta_i 2) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))))))) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))
(+.f32 (-.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (/.f32 sinTheta_O (/.f32 v (*.f32 sinTheta_i (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))))))) (fma.f32 1/2 (/.f32 (pow.f32 sinTheta_O 2) (/.f32 (pow.f32 v 2) (*.f32 (pow.f32 sinTheta_i 2) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))))) (/.f32 (*.f32 -1/6 (pow.f32 sinTheta_O 3)) (/.f32 (pow.f32 v 3) (*.f32 (pow.f32 sinTheta_i 3) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))))))))
(exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 sinTheta_O (/.f32 v sinTheta_i)))))
(exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 -1 v) (*.f32 (/.f32 sinTheta_i v) sinTheta_O))))
(exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 sinTheta_O (/.f32 v sinTheta_i)))))
(exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 -1 v) (*.f32 (/.f32 sinTheta_i v) sinTheta_O))))
(exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 sinTheta_O (/.f32 v sinTheta_i)))))
(exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 -1 v) (*.f32 (/.f32 sinTheta_i v) sinTheta_O))))
(exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 sinTheta_O (/.f32 v sinTheta_i)))))
(exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 -1 v) (*.f32 (/.f32 sinTheta_i v) sinTheta_O))))
(exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
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1
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(/.f32 -1 v)
6931/10000
6931/10000
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(/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)
(pow.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) 1)
(/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)
(pow.f32 (cbrt.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)) 3)
(/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)
(pow.f32 (pow.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) 3) 1/3)
(/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)
(pow.f32 (sqrt.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)) 2)
(/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)
(pow.f32 (/.f32 v (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) -1)
(/.f32 1 (/.f32 v (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))))
(/.f32 1 (/.f32 v (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))))
(neg.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (neg.f32 v)))
(/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)
(sqrt.f32 (pow.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) 2))
(sqrt.f32 (pow.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v) 2))
(fabs.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v))
(log.f32 (exp.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)))
(/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)
(log.f32 (+.f32 1 (expm1.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v))))
(/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)
(cbrt.f32 (pow.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v) 3))
(/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)
(cbrt.f32 (*.f32 (pow.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 3) (pow.f32 v -3)))
(cbrt.f32 (*.f32 (pow.f32 v -3) (pow.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) 3)))
(cbrt.f32 (*.f32 (pow.f32 v -3) (pow.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 3)))
(cbrt.f32 (/.f32 (pow.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) 3) (pow.f32 v 3)))
(/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)
(expm1.f32 (log1p.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)))
(expm1.f32 (log1p.f32 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)))
(log1p.f32 (expm1.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)))
(/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)
(exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 -1 v)) (log.f32 v)))
(/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)
(exp.f32 (*.f32 (-.f32 (+.f32 6931/10000 (/.f32 -1 v)) (log.f32 v)) 1))
(/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)
(/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)

eval262.0ms (2.1%)

Compiler

Compiled 11886 to 8454 computations (28.9% saved)

prune133.0ms (1%)

Pruning

16 alts after pruning (12 fresh and 4 done)

PrunedKeptTotal
New6146620
Fresh268
Picked235
Done112
Total61916635
Accuracy
99.9%
Counts
635 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.1%
(pow.f32 (cbrt.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (+.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (log.f32 (/.f32 1/2 v))) (/.f32 1 v))))) 3)
6.3%
(-.f32 1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
6.3%
(-.f32 1 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))
6.3%
(+.f32 (-.f32 2 (*.f32 (/.f32 sinTheta_i v) sinTheta_O)) -1)
99.1%
(*.f32 (/.f32 1/2 v) (pow.f32 (E.f32) (+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v))))
99.5%
(*.f32 1/2 (/.f32 (pow.f32 (exp.f32 1) (-.f32 6931/10000 (/.f32 1 v))) v))
97.7%
(*.f32 1/2 (/.f32 (exp.f32 (/.f32 -1 v)) v))
99.4%
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))
99.7%
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (neg.f32 (/.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) v)))) v))
97.8%
(*.f32 1/2 (/.f32 (exp.f32 (neg.f32 (/.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) v))) v))
99.4%
(*.f32 1/2 (/.f32 1 (/.f32 v (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))))
97.5%
(exp.f32 (/.f32 -1 v))
99.1%
(exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v)))
99.4%
(exp.f32 (+.f32 (-.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (+.f32 (/.f32 1 (/.f32 (/.f32 v sinTheta_O) sinTheta_i)) (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
97.5%
(exp.f32 (*.f32 -1 (/.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) v)))
6.5%
1
Compiler

Compiled 748 to 510 computations (31.8% saved)

regimes133.0ms (1%)

Counts
35 → 1
Calls
Call 1
Inputs
1
(-.f32 1 (*.f32 (/.f32 sinTheta_O v) sinTheta_i))
(-.f32 1 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))
(-.f32 1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(+.f32 1 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(+.f32 (-.f32 2 (*.f32 (/.f32 sinTheta_i v) sinTheta_O)) -1)
(exp.f32 (/.f32 -1 v))
(exp.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O)))
(exp.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v))
(*.f32 1/2 (/.f32 (exp.f32 (/.f32 -1 v)) v))
(exp.f32 (*.f32 -1 (/.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) v)))
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (*.f32 sinTheta_O sinTheta_i) 1)) v))
(*.f32 1/2 (/.f32 1 (/.f32 v (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))))
(*.f32 1/2 (/.f32 (exp.f32 (neg.f32 (/.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) v))) v))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (neg.f32 (/.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) v)))) v))
(*.f32 (/.f32 1/2 v) (pow.f32 (E.f32) (+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v))))
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 (/.f32 -1 v) 6931/10000))))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (-.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (+.f32 (/.f32 -1 v) 6931/10000))))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (-.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 1 (/.f32 (/.f32 v sinTheta_O) sinTheta_i))) (+.f32 (/.f32 -1 v) 6931/10000))))
(exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v)))
(*.f32 1/2 (/.f32 (pow.f32 (exp.f32 1) (-.f32 6931/10000 (/.f32 1 v))) v))
(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 1 v)))
(*.f32 1/2 (/.f32 (pow.f32 (exp.f32 1) (-.f32 6931/10000 (+.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)) (/.f32 1 v)))) v))
(*.f32 (/.f32 1/2 v) (pow.f32 (E.f32) (+.f32 (+.f32 6931/10000 (/.f32 -1 v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v))))
(exp.f32 (+.f32 (-.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (+.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v)))))
(exp.f32 (+.f32 (-.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (+.f32 (/.f32 1 (/.f32 (/.f32 v sinTheta_O) sinTheta_i)) (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
(pow.f32 (cbrt.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (+.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (log.f32 (/.f32 1/2 v))) (/.f32 1 v))))) 3)
(exp.f32 (fma.f32 (pow.f32 (cbrt.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))) 2) (cbrt.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))) (+.f32 (log.f32 (/.f32 1/2 v)) 6931/10000)))
Outputs
(*.f32 1/2 (/.f32 (pow.f32 (exp.f32 1) (-.f32 6931/10000 (+.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)) (/.f32 1 v)))) v))
Calls

9 calls:

18.0ms
sinTheta_O
18.0ms
cosTheta_O
17.0ms
sinTheta_i
17.0ms
cosTheta_i
16.0ms
v
Results
AccuracySegmentsBranch
99.7%1cosTheta_i
99.7%1cosTheta_O
99.7%1sinTheta_i
99.7%1sinTheta_O
99.7%1v
99.7%1(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v)))))
99.7%1(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v))))
99.7%1(*.f32 cosTheta_i cosTheta_O)
99.7%1(*.f32 sinTheta_i sinTheta_O)
Compiler

Compiled 105 to 80 computations (23.8% saved)

regimes72.0ms (0.6%)

Counts
28 → 1
Calls
Call 1
Inputs
1
(-.f32 1 (*.f32 (/.f32 sinTheta_O v) sinTheta_i))
(-.f32 1 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))
(-.f32 1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(+.f32 1 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(+.f32 (-.f32 2 (*.f32 (/.f32 sinTheta_i v) sinTheta_O)) -1)
(exp.f32 (/.f32 -1 v))
(exp.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O)))
(exp.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v))
(*.f32 1/2 (/.f32 (exp.f32 (/.f32 -1 v)) v))
(exp.f32 (*.f32 -1 (/.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) v)))
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (*.f32 sinTheta_O sinTheta_i) 1)) v))
(*.f32 1/2 (/.f32 1 (/.f32 v (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))))
(*.f32 1/2 (/.f32 (exp.f32 (neg.f32 (/.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) v))) v))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (neg.f32 (/.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) v)))) v))
(*.f32 (/.f32 1/2 v) (pow.f32 (E.f32) (+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v))))
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 (/.f32 -1 v) 6931/10000))))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (-.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (+.f32 (/.f32 -1 v) 6931/10000))))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (-.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 1 (/.f32 (/.f32 v sinTheta_O) sinTheta_i))) (+.f32 (/.f32 -1 v) 6931/10000))))
(exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v)))
(*.f32 1/2 (/.f32 (pow.f32 (exp.f32 1) (-.f32 6931/10000 (/.f32 1 v))) v))
(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 1 v)))
Outputs
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (neg.f32 (/.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) v)))) v))
Calls

5 calls:

15.0ms
sinTheta_i
14.0ms
cosTheta_O
14.0ms
cosTheta_i
14.0ms
sinTheta_O
12.0ms
v
Results
AccuracySegmentsBranch
99.7%1cosTheta_i
99.7%1cosTheta_O
99.7%1sinTheta_i
99.7%1sinTheta_O
99.7%1v
Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes50.0ms (0.4%)

Counts
18 → 1
Calls
Call 1
Inputs
1
(-.f32 1 (*.f32 (/.f32 sinTheta_O v) sinTheta_i))
(-.f32 1 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))
(-.f32 1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(+.f32 1 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(+.f32 (-.f32 2 (*.f32 (/.f32 sinTheta_i v) sinTheta_O)) -1)
(exp.f32 (/.f32 -1 v))
(exp.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O)))
(exp.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v))
(*.f32 1/2 (/.f32 (exp.f32 (/.f32 -1 v)) v))
(exp.f32 (*.f32 -1 (/.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) v)))
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (*.f32 sinTheta_O sinTheta_i) 1)) v))
(*.f32 1/2 (/.f32 1 (/.f32 v (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))))
(*.f32 1/2 (/.f32 (exp.f32 (neg.f32 (/.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) v))) v))
Outputs
(*.f32 1/2 (/.f32 1 (/.f32 v (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))))
Calls

5 calls:

10.0ms
sinTheta_O
10.0ms
cosTheta_O
10.0ms
cosTheta_i
10.0ms
sinTheta_i
9.0ms
v
Results
AccuracySegmentsBranch
99.4%1cosTheta_i
99.4%1cosTheta_O
99.4%1sinTheta_i
99.4%1sinTheta_O
99.4%1v
Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes51.0ms (0.4%)

Counts
16 → 1
Calls
Call 1
Inputs
1
(-.f32 1 (*.f32 (/.f32 sinTheta_O v) sinTheta_i))
(-.f32 1 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))
(-.f32 1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(+.f32 1 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(+.f32 (-.f32 2 (*.f32 (/.f32 sinTheta_i v) sinTheta_O)) -1)
(exp.f32 (/.f32 -1 v))
(exp.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O)))
(exp.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v))
(*.f32 1/2 (/.f32 (exp.f32 (/.f32 -1 v)) v))
(exp.f32 (*.f32 -1 (/.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) v)))
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (*.f32 sinTheta_O sinTheta_i) 1)) v))
Outputs
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))
Calls

5 calls:

14.0ms
sinTheta_O
9.0ms
cosTheta_O
9.0ms
sinTheta_i
9.0ms
cosTheta_i
8.0ms
v
Results
AccuracySegmentsBranch
99.4%1cosTheta_i
99.4%1cosTheta_O
99.4%1sinTheta_i
99.4%1sinTheta_O
99.4%1v
Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes43.0ms (0.3%)

Counts
14 → 1
Calls
Call 1
Inputs
1
(-.f32 1 (*.f32 (/.f32 sinTheta_O v) sinTheta_i))
(-.f32 1 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))
(-.f32 1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(+.f32 1 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(+.f32 (-.f32 2 (*.f32 (/.f32 sinTheta_i v) sinTheta_O)) -1)
(exp.f32 (/.f32 -1 v))
(exp.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O)))
(exp.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v))
(*.f32 1/2 (/.f32 (exp.f32 (/.f32 -1 v)) v))
(exp.f32 (*.f32 -1 (/.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) v)))
Outputs
(*.f32 1/2 (/.f32 (exp.f32 (/.f32 -1 v)) v))
Calls

5 calls:

9.0ms
sinTheta_O
9.0ms
cosTheta_O
9.0ms
sinTheta_i
8.0ms
cosTheta_i
7.0ms
v
Results
AccuracySegmentsBranch
97.7%1cosTheta_i
97.7%1cosTheta_O
97.7%1sinTheta_i
97.7%1sinTheta_O
97.7%1v
Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes158.0ms (1.2%)

Counts
12 → 1
Calls
Call 1
Inputs
1
(-.f32 1 (*.f32 (/.f32 sinTheta_O v) sinTheta_i))
(-.f32 1 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))
(-.f32 1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(+.f32 1 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(+.f32 (-.f32 2 (*.f32 (/.f32 sinTheta_i v) sinTheta_O)) -1)
(exp.f32 (/.f32 -1 v))
(exp.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(exp.f32 (*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O)))
(exp.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v))
Outputs
(exp.f32 (/.f32 -1 v))
Calls

5 calls:

125.0ms
v
10.0ms
sinTheta_O
8.0ms
cosTheta_i
7.0ms
cosTheta_O
7.0ms
sinTheta_i
Results
AccuracySegmentsBranch
97.5%1sinTheta_i
97.5%1sinTheta_O
97.5%1cosTheta_i
97.5%1cosTheta_O
97.5%1v
Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes46.0ms (0.4%)

Accuracy

Total -0.1b remaining (-0.2%)

Threshold costs -0.1b (-0.2%)

Counts
6 → 1
Calls
Call 1
Inputs
1
(-.f32 1 (*.f32 (/.f32 sinTheta_O v) sinTheta_i))
(-.f32 1 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))
(-.f32 1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(+.f32 1 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(+.f32 (-.f32 2 (*.f32 (/.f32 sinTheta_i v) sinTheta_O)) -1)
Outputs
1
Calls

5 calls:

26.0ms
v
5.0ms
cosTheta_i
5.0ms
cosTheta_O
5.0ms
sinTheta_i
5.0ms
sinTheta_O
Results
AccuracySegmentsBranch
6.5%1sinTheta_i
6.5%1sinTheta_O
6.5%1cosTheta_i
6.5%1cosTheta_O
6.5%1v
Compiler

Compiled 30 to 25 computations (16.7% saved)

simplify10.0ms (0.1%)

Algorithm
egg-herbie
Rules
15×*-commutative
14×+-commutative
11×sub-neg
neg-mul-1
neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042239
166239
284239
3108239
4126239
5132239
6134239
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(*.f32 1/2 (/.f32 (pow.f32 (exp.f32 1) (-.f32 6931/10000 (+.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)) (/.f32 1 v)))) v))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (neg.f32 (/.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) v)))) v))
(*.f32 1/2 (/.f32 1 (/.f32 v (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))))
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))
(*.f32 1/2 (/.f32 (exp.f32 (/.f32 -1 v)) v))
(exp.f32 (/.f32 -1 v))
1
Outputs
(*.f32 1/2 (/.f32 (pow.f32 (exp.f32 1) (-.f32 6931/10000 (+.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)) (/.f32 1 v)))) v))
(*.f32 1/2 (/.f32 (pow.f32 (E.f32) (-.f32 6931/10000 (+.f32 (/.f32 sinTheta_O (/.f32 v sinTheta_i)) (/.f32 1 v)))) v))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (neg.f32 (/.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) v)))) v))
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) v))) v))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 -1 (*.f32 sinTheta_O sinTheta_i)) v))) v))
(*.f32 1/2 (/.f32 1 (/.f32 v (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))))
(*.f32 1/2 (/.f32 1 (/.f32 v (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))))))
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v))
(*.f32 1/2 (/.f32 (exp.f32 (/.f32 -1 v)) v))
(exp.f32 (/.f32 -1 v))
1
Compiler

Compiled 101 to 85 computations (15.8% saved)

soundness1.7s (13.5%)

Rules
630×associate-*r*
630×associate-*r*
585×associate-*r*
585×associate-*r*
576×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01732130
14852026
214221870
363271870
043570
1750566
01732130
14852026
214221870
363271870
095840895
1255535546
083827459
1215926138
037343
1629315
083827459
1215926138
095840895
1255535546
Stop Event
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 982 to 628 computations (36% saved)

end0.0ms (0%)

preprocess95.0ms (0.7%)

Remove

(sort sinTheta_i sinTheta_O)

(sort cosTheta_i cosTheta_O)

Compiler

Compiled 906 to 698 computations (23% saved)

Profiling

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