HairBSDF, Mp, lower

Time bar (total: 22.2s)

analyze799.0ms (3.6%)

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)

sample2.9s (13.2%)

Results
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Bogosity

preprocess621.0ms (2.8%)

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
1121(-4.666583854364088e-21 7.601876967374616e-34 -2.1134353843523325e-35 4.5335391305501004e-23 4.4046974401190653e-10)37(-2.436399425081282e-20 -3.81550050079193e-24 -1.7462708175276765e-25 -5.0349868654759704e-30 2.8724198161105508e-21)(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
883(-2.935641035528874e-30 1.0568518444741756e-24 -2.9447802378517374e-38 4.446105305049568e-18 2.064525460310218e-11)30(-1.5884284981291358e-15 -2.690438638972175e-34 -3.3634328598553805e-35 7.870202125559445e-7 3.3903857083139694e-29)(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
36(-1.3559466049972713e-13 -6.417477401958285e-32 -1.780644743121229e-5 -1.3805459347173987e-38 0.007565592881292105)3(-1.782946359996096e-11 3.6096340760155554e-12 -8.319368134834804e-6 -1.7866336188276932e-9 0.016941262409090996)(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)

eval1.0ms (0%)

Compiler

Compiled 92 to 54 computations (41.3% saved)

prune2.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
99.1%
(*.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))))
99.1%
(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)

localize449.0ms (2%)

Localize:

Found 8 expressions with local error:

NewAccuracyProgram
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))))
99.6%
(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))
99.3%
(*.f32 (/.f32 cosTheta_O v) cosTheta_i)
99.6%
(log.f32 (/.f32 1/2 v))
99.5%
(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)))))
99.4%
(/.f32 cosTheta_i (/.f32 v cosTheta_O))
99.4%
(/.f32 sinTheta_i (/.f32 v sinTheta_O))
Compiler

Compiled 218 to 87 computations (60.1% saved)

series161.0ms (0.7%)

Counts
8 → 336
Calls

84 calls:

TimeVariablePointExpression
29.0ms
v
@0
(log.f32 (/.f32 1/2 v))
21.0ms
v
@-inf
(log.f32 (/.f32 1/2 v))
12.0ms
cosTheta_O
@0
(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)))))
7.0ms
sinTheta_i
@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))))
7.0ms
v
@inf
(log.f32 (/.f32 1/2 v))

rewrite255.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
294×log1p-expm1-u
294×expm1-log1p-u
289×add-exp-log
288×add-log-exp
288×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
038358
1652350
Stop Event
node limit
Counts
8 → 193
Calls
Call 1
Inputs
(/.f32 sinTheta_i (/.f32 v sinTheta_O))
(/.f32 cosTheta_i (/.f32 v cosTheta_O))
(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)))))
(log.f32 (/.f32 1/2 v))
(*.f32 (/.f32 cosTheta_O v) cosTheta_i)
(/.f32 sinTheta_i (/.f32 v sinTheta_O))
(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 sinTheta_i (/.f32 v sinTheta_O))) (+.f32 (/.f32 -1 v) 6931/10000))))
Outputs
(-.f32 (exp.f32 (log1p.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O))) 1)
(*.f32 sinTheta_i (/.f32 1 (/.f32 v sinTheta_O)))
(*.f32 1 (*.f32 (/.f32 sinTheta_i v) sinTheta_O))
(*.f32 (/.f32 1 v) (/.f32 sinTheta_i (/.f32 1 sinTheta_O)))
(*.f32 (pow.f32 (cbrt.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O)) 2) (cbrt.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O)))
(*.f32 (sqrt.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O)) (sqrt.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O)))
(*.f32 (/.f32 sinTheta_i v) sinTheta_O)
(*.f32 (/.f32 (pow.f32 (cbrt.f32 sinTheta_i) 2) 1) (/.f32 (cbrt.f32 sinTheta_i) (/.f32 v sinTheta_O)))
(*.f32 (/.f32 (sqrt.f32 sinTheta_i) 1) (/.f32 (sqrt.f32 sinTheta_i) (/.f32 v sinTheta_O)))
(*.f32 (/.f32 (sqrt.f32 sinTheta_i) v) (/.f32 (sqrt.f32 sinTheta_i) (/.f32 1 sinTheta_O)))
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(pow.f32 (sqrt.f32 (exp.f32 (-.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (-.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) (+.f32 (/.f32 1 v) 6931/10000))))) 2)
(pow.f32 (exp.f32 1) (-.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (-.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) (+.f32 (/.f32 1 v) 6931/10000))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (-.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (-.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) (+.f32 (/.f32 1 v) 6931/10000)))) 2)) (cbrt.f32 (-.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (-.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) (+.f32 (/.f32 1 v) 6931/10000)))))
(pow.f32 (exp.f32 (sqrt.f32 (-.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (-.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) (+.f32 (/.f32 1 v) 6931/10000))))) (sqrt.f32 (-.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (-.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) (+.f32 (/.f32 1 v) 6931/10000)))))
(sqrt.f32 (pow.f32 (exp.f32 (-.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (-.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) (+.f32 (/.f32 1 v) 6931/10000)))) 2))
(log.f32 (exp.f32 (exp.f32 (-.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (-.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) (+.f32 (/.f32 1 v) 6931/10000))))))
(log.f32 (+.f32 1 (expm1.f32 (exp.f32 (-.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (-.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) (+.f32 (/.f32 1 v) 6931/10000)))))))
(cbrt.f32 (pow.f32 (exp.f32 (-.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (-.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) (+.f32 (/.f32 1 v) 6931/10000)))) 3))
(expm1.f32 (log1p.f32 (exp.f32 (-.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (-.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) (+.f32 (/.f32 1 v) 6931/10000))))))
(log1p.f32 (expm1.f32 (exp.f32 (-.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (-.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) (+.f32 (/.f32 1 v) 6931/10000))))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (-.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) (+.f32 (/.f32 1 v) 6931/10000))))))) 1)
(/.f32 (*.f32 1/2 (exp.f32 (-.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (-.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) (+.f32 (/.f32 1 v) 6931/10000))))) v)
(/.f32 (neg.f32 (*.f32 1/2 (exp.f32 (-.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (-.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) (+.f32 (/.f32 1 v) 6931/10000)))))) (neg.f32 v))
(pow.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (-.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) (+.f32 (/.f32 1 v) 6931/10000))))) 1)
(pow.f32 (cbrt.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (-.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) (+.f32 (/.f32 1 v) 6931/10000)))))) 3)
(pow.f32 (pow.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (-.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) (+.f32 (/.f32 1 v) 6931/10000))))) 3) 1/3)
(pow.f32 (sqrt.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (-.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) (+.f32 (/.f32 1 v) 6931/10000)))))) 2)
(sqrt.f32 (pow.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (-.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) (+.f32 (/.f32 1 v) 6931/10000))))) 2))
(log.f32 (pow.f32 (exp.f32 (exp.f32 (-.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (-.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) (+.f32 (/.f32 1 v) 6931/10000))))) (/.f32 1/2 v)))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (-.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) (+.f32 (/.f32 1 v) 6931/10000))))))))
(cbrt.f32 (pow.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (-.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) (+.f32 (/.f32 1 v) 6931/10000))))) 3))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 1/2 v) 3) (pow.f32 (exp.f32 (-.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (-.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) (+.f32 (/.f32 1 v) 6931/10000)))) 3)))
(cbrt.f32 (*.f32 (pow.f32 (exp.f32 (-.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (-.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) (+.f32 (/.f32 1 v) 6931/10000)))) 3) (pow.f32 (/.f32 1/2 v) 3)))
(expm1.f32 (log1p.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (-.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) (+.f32 (/.f32 1 v) 6931/10000)))))))
(log1p.f32 (expm1.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (-.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) (+.f32 (/.f32 1 v) 6931/10000)))))))
(exp.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (-.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (-.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) (+.f32 (/.f32 1 v) 6931/10000)))))
(exp.f32 (*.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (-.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (-.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) (+.f32 (/.f32 1 v) 6931/10000)))) 1))

simplify341.0ms (1.5%)

Algorithm
egg-herbie
Rules
844×fma-neg
371×associate-*r*
325×log-prod
296×associate-/l*
295×times-frac
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
059734237
1164332487
2690432487
Stop Event
node limit
Counts
529 → 344
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)
(/.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 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)
(exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(+.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))) v))
(+.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) (+.f32 (*.f32 1/2 (/.f32 (*.f32 (pow.f32 cosTheta_O 2) (*.f32 (pow.f32 cosTheta_i 2) (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))) (pow.f32 v 2))) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))) v)))
(+.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) (+.f32 (*.f32 1/6 (/.f32 (*.f32 (pow.f32 cosTheta_O 3) (*.f32 (pow.f32 cosTheta_i 3) (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))) (pow.f32 v 3))) (+.f32 (*.f32 1/2 (/.f32 (*.f32 (pow.f32 cosTheta_O 2) (*.f32 (pow.f32 cosTheta_i 2) (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))) (pow.f32 v 2))) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))) v))))
(exp.f32 (-.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))))
(exp.f32 (-.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))))
(exp.f32 (-.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))))
(exp.f32 (-.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))))
(exp.f32 (-.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))))
(exp.f32 (-.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))))
(exp.f32 (-.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))))
(exp.f32 (-.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))))
(exp.f32 (-.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))))
(exp.f32 (-.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))))
(exp.f32 (-.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))))
(exp.f32 (-.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))))
(exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v)))))
(+.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))) (/.f32 (*.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))) (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 1 (*.f32 sinTheta_O sinTheta_i)))) v))
(+.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))) (+.f32 (*.f32 1/2 (/.f32 (*.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))) (pow.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 1 (*.f32 sinTheta_O sinTheta_i))) 2)) (pow.f32 v 2))) (/.f32 (*.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))) (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 1 (*.f32 sinTheta_O sinTheta_i)))) v)))
(+.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))) (+.f32 (*.f32 1/6 (/.f32 (*.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))) (pow.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 1 (*.f32 sinTheta_O sinTheta_i))) 3)) (pow.f32 v 3))) (+.f32 (*.f32 1/2 (/.f32 (*.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))) (pow.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 1 (*.f32 sinTheta_O sinTheta_i))) 2)) (pow.f32 v 2))) (/.f32 (*.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v))))) (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 1 (*.f32 sinTheta_O sinTheta_i)))) v))))
(exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v)))))
(+.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v))))) (*.f32 -1 (/.f32 (*.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v))))) (-.f32 (+.f32 1 (*.f32 -1 (*.f32 cosTheta_O cosTheta_i))) (*.f32 -1 (*.f32 sinTheta_O sinTheta_i)))) v)))
(+.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v))))) (+.f32 (*.f32 -1 (/.f32 (*.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v))))) (-.f32 (+.f32 1 (*.f32 -1 (*.f32 cosTheta_O cosTheta_i))) (*.f32 -1 (*.f32 sinTheta_O sinTheta_i)))) v)) (*.f32 1/2 (/.f32 (*.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v))))) (pow.f32 (-.f32 (+.f32 1 (*.f32 -1 (*.f32 cosTheta_O cosTheta_i))) (*.f32 -1 (*.f32 sinTheta_O sinTheta_i))) 2)) (pow.f32 v 2)))))
(+.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v))))) (+.f32 (*.f32 -1 (/.f32 (*.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v))))) (-.f32 (+.f32 1 (*.f32 -1 (*.f32 cosTheta_O cosTheta_i))) (*.f32 -1 (*.f32 sinTheta_O sinTheta_i)))) v)) (+.f32 (*.f32 -1/6 (/.f32 (*.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v))))) (pow.f32 (-.f32 (+.f32 1 (*.f32 -1 (*.f32 cosTheta_O cosTheta_i))) (*.f32 -1 (*.f32 sinTheta_O sinTheta_i))) 3)) (pow.f32 v 3))) (*.f32 1/2 (/.f32 (*.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v))))) (pow.f32 (-.f32 (+.f32 1 (*.f32 -1 (*.f32 cosTheta_O cosTheta_i))) (*.f32 -1 (*.f32 sinTheta_O sinTheta_i))) 2)) (pow.f32 v 2))))))
(exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
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(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (-.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (-.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))) 2)) (cbrt.f32 (-.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (-.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))))
(pow.f32 (exp.f32 (sqrt.f32 (-.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (-.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))))) (sqrt.f32 (-.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (-.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))))
(sqrt.f32 (pow.f32 (*.f32 (exp.f32 (+.f32 (-.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) 6931/10000)) (/.f32 1/2 v)) 2))
(log.f32 (exp.f32 (*.f32 (exp.f32 (+.f32 (-.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) 6931/10000)) (/.f32 1/2 v))))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (exp.f32 (+.f32 (-.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) 6931/10000)) (/.f32 1/2 v)))))
(cbrt.f32 (pow.f32 (*.f32 (exp.f32 (+.f32 (-.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) 6931/10000)) (/.f32 1/2 v)) 3))
(expm1.f32 (log1p.f32 (*.f32 (exp.f32 (+.f32 (-.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) 6931/10000)) (/.f32 1/2 v))))
(log1p.f32 (expm1.f32 (*.f32 (exp.f32 (+.f32 (-.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) 6931/10000)) (/.f32 1/2 v))))
(+.f32 (log.f32 1/2) (neg.f32 (log.f32 v)))
(+.f32 0 (log.f32 (/.f32 1/2 v)))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (/.f32 1/2 v)) 2)) (log.f32 (cbrt.f32 (/.f32 1/2 v))))
(+.f32 (log.f32 (sqrt.f32 (/.f32 1/2 v))) (log.f32 (sqrt.f32 (/.f32 1/2 v))))
(-.f32 (log.f32 1/2) (log.f32 v))
(-.f32 0 (log.f32 (/.f32 v 1/2)))
(-.f32 (exp.f32 (log1p.f32 (log.f32 (/.f32 1/2 v)))) 1)
(-.f32 (log.f32 -1/2) (log.f32 (neg.f32 v)))
(*.f32 1 (log.f32 (/.f32 1/2 v)))
(*.f32 (pow.f32 (cbrt.f32 (log.f32 (/.f32 1/2 v))) 2) (cbrt.f32 (log.f32 (/.f32 1/2 v))))
(*.f32 (sqrt.f32 (log.f32 (/.f32 1/2 v))) (sqrt.f32 (log.f32 (/.f32 1/2 v))))
(pow.f32 (log.f32 (/.f32 1/2 v)) 1)
(pow.f32 (cbrt.f32 (log.f32 (/.f32 1/2 v))) 3)
(pow.f32 (pow.f32 (log.f32 (/.f32 1/2 v)) 3) 1/3)
(pow.f32 (sqrt.f32 (log.f32 (/.f32 1/2 v))) 2)
(neg.f32 (log.f32 (/.f32 v 1/2)))
(sqrt.f32 (pow.f32 (log.f32 (/.f32 1/2 v)) 2))
(cbrt.f32 (pow.f32 (log.f32 (/.f32 1/2 v)) 3))
(expm1.f32 (log1p.f32 (log.f32 (/.f32 1/2 v))))
(log1p.f32 (-.f32 (/.f32 1/2 v) 1))
(exp.f32 (log.f32 (log.f32 (/.f32 1/2 v))))
(exp.f32 (*.f32 (log.f32 (log.f32 (/.f32 1/2 v))) 1))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O))) 1)
(/.f32 cosTheta_i (/.f32 v cosTheta_O))
(/.f32 1 (/.f32 (/.f32 v cosTheta_O) cosTheta_i))
(/.f32 -1 (neg.f32 (/.f32 (/.f32 v cosTheta_O) cosTheta_i)))
(/.f32 (neg.f32 cosTheta_i) (neg.f32 (/.f32 v cosTheta_O)))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (neg.f32 (neg.f32 cosTheta_i)) (neg.f32 (neg.f32 (/.f32 v cosTheta_O))))
(/.f32 (neg.f32 (*.f32 cosTheta_O cosTheta_i)) (neg.f32 v))
(pow.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) 1)
(pow.f32 (cbrt.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O)) 3)
(pow.f32 (pow.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) 3) 1/3)
(pow.f32 (sqrt.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O)) 2)
(pow.f32 (/.f32 (/.f32 v cosTheta_O) cosTheta_i) -1)
(sqrt.f32 (pow.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) 2))
(log.f32 (pow.f32 (exp.f32 (/.f32 cosTheta_i v)) cosTheta_O))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O))))
(cbrt.f32 (pow.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) 3))
(expm1.f32 (log1p.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O)))
(log1p.f32 (expm1.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O)))
(exp.f32 (log.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O)))
(exp.f32 (*.f32 (log.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O)) 1))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O))) 1)
(*.f32 sinTheta_i (/.f32 1 (/.f32 v sinTheta_O)))
(*.f32 1 (*.f32 (/.f32 sinTheta_i v) sinTheta_O))
(*.f32 (/.f32 1 v) (/.f32 sinTheta_i (/.f32 1 sinTheta_O)))
(*.f32 (pow.f32 (cbrt.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O)) 2) (cbrt.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O)))
(*.f32 (sqrt.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O)) (sqrt.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O)))
(*.f32 (/.f32 sinTheta_i v) sinTheta_O)
(*.f32 (/.f32 (pow.f32 (cbrt.f32 sinTheta_i) 2) 1) (/.f32 (cbrt.f32 sinTheta_i) (/.f32 v sinTheta_O)))
(*.f32 (/.f32 (sqrt.f32 sinTheta_i) 1) (/.f32 (sqrt.f32 sinTheta_i) (/.f32 v sinTheta_O)))
(*.f32 (/.f32 (sqrt.f32 sinTheta_i) v) (/.f32 (sqrt.f32 sinTheta_i) (/.f32 1 sinTheta_O)))
(*.f32 (/.f32 1 (pow.f32 (cbrt.f32 (/.f32 v sinTheta_O)) 2)) (/.f32 sinTheta_i (cbrt.f32 (/.f32 v sinTheta_O))))
(*.f32 (/.f32 1 (sqrt.f32 (/.f32 v sinTheta_O))) (/.f32 sinTheta_i (sqrt.f32 (/.f32 v sinTheta_O))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 sinTheta_i) 2) v) (/.f32 (cbrt.f32 sinTheta_i) (/.f32 1 sinTheta_O)))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 sinTheta_i) 2) (pow.f32 (cbrt.f32 (/.f32 v sinTheta_O)) 2)) (cbrt.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O)))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 sinTheta_i) 2) (sqrt.f32 (/.f32 v sinTheta_O))) (/.f32 (cbrt.f32 sinTheta_i) (sqrt.f32 (/.f32 v sinTheta_O))))
(*.f32 (/.f32 (sqrt.f32 sinTheta_i) (pow.f32 (cbrt.f32 (/.f32 v sinTheta_O)) 2)) (/.f32 (sqrt.f32 sinTheta_i) (cbrt.f32 (/.f32 v sinTheta_O))))
(pow.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) 1)
(pow.f32 (cbrt.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O)) 3)
(pow.f32 (sqrt.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O)) 2)
(pow.f32 (pow.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) 3) 1/3)
(pow.f32 (/.f32 (/.f32 v sinTheta_O) sinTheta_i) -1)
(sqrt.f32 (pow.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) 2))
(log.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) sinTheta_O))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O))))
(cbrt.f32 (pow.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) 3))
(expm1.f32 (log1p.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O)))
(log1p.f32 (expm1.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O)))
(exp.f32 (log.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O)))
(exp.f32 (*.f32 (log.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O)) 1))
(-.f32 (exp.f32 (log1p.f32 (exp.f32 (-.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (-.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) (+.f32 (/.f32 1 v) 6931/10000)))))) 1)
(*.f32 1 (exp.f32 (-.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (-.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) (+.f32 (/.f32 1 v) 6931/10000)))))
(*.f32 (exp.f32 (-.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (*.f32 (/.f32 sinTheta_i v) sinTheta_O))) (exp.f32 (+.f32 (/.f32 1 v) 6931/10000)))
(*.f32 (exp.f32 (+.f32 (/.f32 1 v) 6931/10000)) (exp.f32 (-.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (*.f32 (/.f32 sinTheta_i v) sinTheta_O))))
(*.f32 (pow.f32 (cbrt.f32 (exp.f32 (-.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (-.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) (+.f32 (/.f32 1 v) 6931/10000))))) 2) (cbrt.f32 (exp.f32 (-.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (-.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) (+.f32 (/.f32 1 v) 6931/10000))))))
(*.f32 (sqrt.f32 (exp.f32 (-.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (-.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) (+.f32 (/.f32 1 v) 6931/10000))))) (sqrt.f32 (exp.f32 (-.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (-.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) (+.f32 (/.f32 1 v) 6931/10000))))))
(*.f32 (exp.f32 (+.f32 (-.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (*.f32 (/.f32 sinTheta_i v) sinTheta_O)) (/.f32 1 v))) (exp.f32 6931/10000))
(/.f32 (pow.f32 (exp.f32 (/.f32 cosTheta_i v)) cosTheta_O) (exp.f32 (-.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) (+.f32 (/.f32 1 v) 6931/10000))))
(pow.f32 (exp.f32 (-.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (-.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) (+.f32 (/.f32 1 v) 6931/10000)))) 1)
(pow.f32 (cbrt.f32 (exp.f32 (-.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (-.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) (+.f32 (/.f32 1 v) 6931/10000))))) 3)
(pow.f32 (pow.f32 (exp.f32 (-.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (-.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) (+.f32 (/.f32 1 v) 6931/10000)))) 3) 1/3)
(pow.f32 (sqrt.f32 (exp.f32 (-.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (-.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) (+.f32 (/.f32 1 v) 6931/10000))))) 2)
(pow.f32 (exp.f32 1) (-.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (-.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) (+.f32 (/.f32 1 v) 6931/10000))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (-.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (-.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) (+.f32 (/.f32 1 v) 6931/10000)))) 2)) (cbrt.f32 (-.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (-.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) (+.f32 (/.f32 1 v) 6931/10000)))))
(pow.f32 (exp.f32 (sqrt.f32 (-.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (-.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) (+.f32 (/.f32 1 v) 6931/10000))))) (sqrt.f32 (-.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (-.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) (+.f32 (/.f32 1 v) 6931/10000)))))
(sqrt.f32 (pow.f32 (exp.f32 (-.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (-.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) (+.f32 (/.f32 1 v) 6931/10000)))) 2))
(log.f32 (exp.f32 (exp.f32 (-.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (-.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) (+.f32 (/.f32 1 v) 6931/10000))))))
(log.f32 (+.f32 1 (expm1.f32 (exp.f32 (-.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (-.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) (+.f32 (/.f32 1 v) 6931/10000)))))))
(cbrt.f32 (pow.f32 (exp.f32 (-.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (-.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) (+.f32 (/.f32 1 v) 6931/10000)))) 3))
(expm1.f32 (log1p.f32 (exp.f32 (-.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (-.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) (+.f32 (/.f32 1 v) 6931/10000))))))
(log1p.f32 (expm1.f32 (exp.f32 (-.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (-.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) (+.f32 (/.f32 1 v) 6931/10000))))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (-.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) (+.f32 (/.f32 1 v) 6931/10000))))))) 1)
(/.f32 (*.f32 1/2 (exp.f32 (-.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (-.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) (+.f32 (/.f32 1 v) 6931/10000))))) v)
(/.f32 (neg.f32 (*.f32 1/2 (exp.f32 (-.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (-.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) (+.f32 (/.f32 1 v) 6931/10000)))))) (neg.f32 v))
(pow.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (-.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) (+.f32 (/.f32 1 v) 6931/10000))))) 1)
(pow.f32 (cbrt.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (-.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) (+.f32 (/.f32 1 v) 6931/10000)))))) 3)
(pow.f32 (pow.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (-.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) (+.f32 (/.f32 1 v) 6931/10000))))) 3) 1/3)
(pow.f32 (sqrt.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (-.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) (+.f32 (/.f32 1 v) 6931/10000)))))) 2)
(sqrt.f32 (pow.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (-.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) (+.f32 (/.f32 1 v) 6931/10000))))) 2))
(log.f32 (pow.f32 (exp.f32 (exp.f32 (-.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (-.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) (+.f32 (/.f32 1 v) 6931/10000))))) (/.f32 1/2 v)))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (-.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) (+.f32 (/.f32 1 v) 6931/10000))))))))
(cbrt.f32 (pow.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (-.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) (+.f32 (/.f32 1 v) 6931/10000))))) 3))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 1/2 v) 3) (pow.f32 (exp.f32 (-.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (-.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) (+.f32 (/.f32 1 v) 6931/10000)))) 3)))
(cbrt.f32 (*.f32 (pow.f32 (exp.f32 (-.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (-.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) (+.f32 (/.f32 1 v) 6931/10000)))) 3) (pow.f32 (/.f32 1/2 v) 3)))
(expm1.f32 (log1p.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (-.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) (+.f32 (/.f32 1 v) 6931/10000)))))))
(log1p.f32 (expm1.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (-.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) (+.f32 (/.f32 1 v) 6931/10000)))))))
(exp.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (-.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (-.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) (+.f32 (/.f32 1 v) 6931/10000)))))
(exp.f32 (*.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (-.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (-.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) (+.f32 (/.f32 1 v) 6931/10000)))) 1))
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))
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(exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v))) (+.f32 6931/10000 (/.f32 1 v))))
(exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 -1 v)))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (-.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) (+.f32 (/.f32 1 v) 6931/10000))))))) 1)
(expm1.f32 (log1p.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v))) (+.f32 6931/10000 (/.f32 1 v)))))))
(expm1.f32 (log1p.f32 (exp.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 1/2 v))) (+.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 -1 v)) -6931/10000)))))
(/.f32 (*.f32 1/2 (exp.f32 (-.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (-.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) (+.f32 (/.f32 1 v) 6931/10000))))) v)
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v))) (+.f32 6931/10000 (/.f32 1 v)))))
(exp.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 1/2 v))) (+.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 -1 v)) -6931/10000)))
(/.f32 (neg.f32 (*.f32 1/2 (exp.f32 (-.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (-.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) (+.f32 (/.f32 1 v) 6931/10000)))))) (neg.f32 v))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v))) (+.f32 6931/10000 (/.f32 1 v)))))
(exp.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 1/2 v))) (+.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 -1 v)) -6931/10000)))
(pow.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (-.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) (+.f32 (/.f32 1 v) 6931/10000))))) 1)
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v))) (+.f32 6931/10000 (/.f32 1 v)))))
(exp.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 1/2 v))) (+.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 -1 v)) -6931/10000)))
(pow.f32 (cbrt.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (-.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) (+.f32 (/.f32 1 v) 6931/10000)))))) 3)
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v))) (+.f32 6931/10000 (/.f32 1 v)))))
(exp.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 1/2 v))) (+.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 -1 v)) -6931/10000)))
(pow.f32 (pow.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (-.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) (+.f32 (/.f32 1 v) 6931/10000))))) 3) 1/3)
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v))) (+.f32 6931/10000 (/.f32 1 v)))))
(exp.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 1/2 v))) (+.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 -1 v)) -6931/10000)))
(pow.f32 (sqrt.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (-.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) (+.f32 (/.f32 1 v) 6931/10000)))))) 2)
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v))) (+.f32 6931/10000 (/.f32 1 v)))))
(exp.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 1/2 v))) (+.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 -1 v)) -6931/10000)))
(sqrt.f32 (pow.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (-.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) (+.f32 (/.f32 1 v) 6931/10000))))) 2))
(sqrt.f32 (pow.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v))) (+.f32 6931/10000 (/.f32 1 v))))) 2))
(fabs.f32 (exp.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 1/2 v))) (+.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 -1 v)) -6931/10000))))
(log.f32 (pow.f32 (exp.f32 (exp.f32 (-.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (-.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) (+.f32 (/.f32 1 v) 6931/10000))))) (/.f32 1/2 v)))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v))) (+.f32 6931/10000 (/.f32 1 v)))))
(exp.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 1/2 v))) (+.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 -1 v)) -6931/10000)))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (-.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) (+.f32 (/.f32 1 v) 6931/10000))))))))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v))) (+.f32 6931/10000 (/.f32 1 v)))))
(exp.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 1/2 v))) (+.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 -1 v)) -6931/10000)))
(cbrt.f32 (pow.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (-.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) (+.f32 (/.f32 1 v) 6931/10000))))) 3))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v))) (+.f32 6931/10000 (/.f32 1 v)))))
(exp.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 1/2 v))) (+.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 -1 v)) -6931/10000)))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 1/2 v) 3) (pow.f32 (exp.f32 (-.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (-.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) (+.f32 (/.f32 1 v) 6931/10000)))) 3)))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v))) (+.f32 6931/10000 (/.f32 1 v)))))
(exp.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 1/2 v))) (+.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 -1 v)) -6931/10000)))
(cbrt.f32 (*.f32 (pow.f32 (exp.f32 (-.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (-.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) (+.f32 (/.f32 1 v) 6931/10000)))) 3) (pow.f32 (/.f32 1/2 v) 3)))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v))) (+.f32 6931/10000 (/.f32 1 v)))))
(exp.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 1/2 v))) (+.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 -1 v)) -6931/10000)))
(expm1.f32 (log1p.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (-.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) (+.f32 (/.f32 1 v) 6931/10000)))))))
(expm1.f32 (log1p.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v))) (+.f32 6931/10000 (/.f32 1 v)))))))
(expm1.f32 (log1p.f32 (exp.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 1/2 v))) (+.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 -1 v)) -6931/10000)))))
(log1p.f32 (expm1.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (-.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) (+.f32 (/.f32 1 v) 6931/10000)))))))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v))) (+.f32 6931/10000 (/.f32 1 v)))))
(exp.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 1/2 v))) (+.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 -1 v)) -6931/10000)))
(exp.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (-.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (-.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) (+.f32 (/.f32 1 v) 6931/10000)))))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v))) (+.f32 6931/10000 (/.f32 1 v)))))
(exp.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 1/2 v))) (+.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 -1 v)) -6931/10000)))
(exp.f32 (*.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (-.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (-.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O) (+.f32 (/.f32 1 v) 6931/10000)))) 1))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v))) (+.f32 6931/10000 (/.f32 1 v)))))
(exp.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 1/2 v))) (+.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 -1 v)) -6931/10000)))

eval213.0ms (1%)

Compiler

Compiled 13294 to 7637 computations (42.6% saved)

prune79.0ms (0.4%)

Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New37110381
Fresh000
Picked202
Done000
Total37310383
Accuracy
99.7%
Counts
383 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.1%
(pow.f32 (pow.f32 (*.f32 (exp.f32 (+.f32 (-.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) 6931/10000)) (/.f32 1/2 v)) 3) 1/3)
99.1%
(pow.f32 (cbrt.f32 (*.f32 (exp.f32 (+.f32 (-.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) 6931/10000)) (/.f32 1/2 v))) 3)
99.1%
(pow.f32 (E.f32) (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
98.9%
(/.f32 (*.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))
99.1%
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))))
4.7%
(*.f32 (/.f32 1/2 v) (exp.f32 6931/10000))
99.1%
(*.f32 (*.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) (exp.f32 (-.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))))
99.5%
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))) v))
4.7%
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) 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)))
Compiler

Compiled 442 to 334 computations (24.4% saved)

localize712.0ms (3.2%)

Localize:

Found 18 expressions with local error:

NewAccuracyProgram
99.8%
(+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))
99.6%
(pow.f32 (E.f32) (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
99.6%
(log.f32 (/.f32 1/2 v))
99.3%
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
100.0%
(fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))
99.6%
(exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))
99.3%
(/.f32 (*.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))
99.0%
(*.f32 (/.f32 1/2 v) (exp.f32 6931/10000))
99.8%
(+.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))))
99.6%
(exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v)))
71.2%
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
99.8%
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
99.0%
(/.f32 (exp.f32 6931/10000) v)
99.8%
(-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))
99.8%
(+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
99.6%
(exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v)))
71.2%
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
Compiler

Compiled 322 to 161 computations (50% saved)

series168.0ms (0.8%)

Counts
17 → 374
Calls

147 calls:

TimeVariablePointExpression
22.0ms
cosTheta_i
@0
(+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
6.0ms
sinTheta_i
@0
(+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))
4.0ms
cosTheta_i
@0
(+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))
4.0ms
v
@-inf
(pow.f32 (E.f32) (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
3.0ms
v
@0
(/.f32 (*.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))

rewrite180.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
317×log1p-expm1-u
317×expm1-log1p-u
313×add-exp-log
311×add-log-exp
305×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
043685
1731629
Stop Event
node limit
Counts
17 → 456
Calls
Call 1
Inputs
(/.f32 (*.f32 cosTheta_O cosTheta_i) 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))
(-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))
(/.f32 (exp.f32 6931/10000) v)
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) 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 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))))
(+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(*.f32 (/.f32 1/2 v) (exp.f32 6931/10000))
(/.f32 (*.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))
(exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))
(fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(pow.f32 (E.f32) (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
(+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))
Outputs
(-.f32 (exp.f32 (log1p.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)))) 1)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(*.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 1 v))
(*.f32 1 (*.f32 cosTheta_i (/.f32 cosTheta_O v)))
(*.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 (pow.f32 v -1/2) (/.f32 (*.f32 cosTheta_O cosTheta_i) (sqrt.f32 v)))
(*.f32 (/.f32 1 (pow.f32 (cbrt.f32 v) 2)) (/.f32 (*.f32 cosTheta_O cosTheta_i) (cbrt.f32 v)))
(*.f32 (/.f32 cosTheta_O (sqrt.f32 v)) (/.f32 cosTheta_i (sqrt.f32 v)))
(*.f32 (/.f32 cosTheta_O 1) (/.f32 cosTheta_i v))
(*.f32 (/.f32 cosTheta_O (pow.f32 (cbrt.f32 v) 2)) (/.f32 cosTheta_i (cbrt.f32 v)))
(*.f32 (/.f32 cosTheta_i (sqrt.f32 v)) (/.f32 cosTheta_O (sqrt.f32 v)))
(*.f32 (/.f32 cosTheta_i 1) (/.f32 cosTheta_O v))
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(exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
(-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (-.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
(-.f32 (exp.f32 (log1p.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))) 1)
(-.f32 (/.f32 (pow.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) 2) (-.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))) (/.f32 (pow.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) 2) (-.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))))
(*.f32 1 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
(*.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) 1)
(*.f32 (pow.f32 (cbrt.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))) 2) (cbrt.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))))
(*.f32 (sqrt.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))) (sqrt.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))))
(/.f32 (+.f32 (pow.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) 3) (pow.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) 3)) (+.f32 (pow.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) 2) (-.f32 (pow.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) 2) (*.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))))
(/.f32 (-.f32 (pow.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) 2) (pow.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) 2)) (-.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
(/.f32 (+.f32 (*.f32 (-.f32 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) 3) (pow.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)) 3)) (+.f32 48038761/100000000 (-.f32 (pow.f32 (log.f32 (/.f32 1/2 v)) 2) (*.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))) (*.f32 (+.f32 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) 2) (+.f32 (pow.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)) 2) (*.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))))) (+.f32 332956652491/1000000000000 (pow.f32 (log.f32 (/.f32 1/2 v)) 3)))) (*.f32 (+.f32 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) 2) (+.f32 (pow.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)) 2) (*.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))))) (+.f32 48038761/100000000 (-.f32 (pow.f32 (log.f32 (/.f32 1/2 v)) 2) (*.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))))
(/.f32 (+.f32 (*.f32 (-.f32 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) 3) (pow.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)) 3)) (-.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) (*.f32 (+.f32 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) 2) (+.f32 (pow.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)) 2) (*.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))))) (-.f32 48038761/100000000 (pow.f32 (log.f32 (/.f32 1/2 v)) 2)))) (*.f32 (+.f32 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) 2) (+.f32 (pow.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)) 2) (*.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))))) (-.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
(/.f32 (+.f32 (*.f32 (-.f32 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) 2) (pow.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)) 2)) (+.f32 48038761/100000000 (-.f32 (pow.f32 (log.f32 (/.f32 1/2 v)) 2) (*.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))) (*.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) (+.f32 332956652491/1000000000000 (pow.f32 (log.f32 (/.f32 1/2 v)) 3)))) (*.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) (+.f32 48038761/100000000 (-.f32 (pow.f32 (log.f32 (/.f32 1/2 v)) 2) (*.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))))
(/.f32 (+.f32 (*.f32 (-.f32 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) 2) (pow.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)) 2)) (-.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) (*.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) (-.f32 48038761/100000000 (pow.f32 (log.f32 (/.f32 1/2 v)) 2)))) (*.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) (-.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
(/.f32 (+.f32 (*.f32 (+.f32 332956652491/1000000000000 (pow.f32 (log.f32 (/.f32 1/2 v)) 3)) (+.f32 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) 2) (+.f32 (pow.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)) 2) (*.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))))) (*.f32 (+.f32 48038761/100000000 (-.f32 (pow.f32 (log.f32 (/.f32 1/2 v)) 2) (*.f32 6931/10000 (log.f32 (/.f32 1/2 v))))) (-.f32 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) 3) (pow.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)) 3)))) (*.f32 (+.f32 48038761/100000000 (-.f32 (pow.f32 (log.f32 (/.f32 1/2 v)) 2) (*.f32 6931/10000 (log.f32 (/.f32 1/2 v))))) (+.f32 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) 2) (+.f32 (pow.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)) 2) (*.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))))))
(/.f32 (+.f32 (*.f32 (+.f32 332956652491/1000000000000 (pow.f32 (log.f32 (/.f32 1/2 v)) 3)) (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))) (*.f32 (+.f32 48038761/100000000 (-.f32 (pow.f32 (log.f32 (/.f32 1/2 v)) 2) (*.f32 6931/10000 (log.f32 (/.f32 1/2 v))))) (-.f32 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) 2) (pow.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)) 2)))) (*.f32 (+.f32 48038761/100000000 (-.f32 (pow.f32 (log.f32 (/.f32 1/2 v)) 2) (*.f32 6931/10000 (log.f32 (/.f32 1/2 v))))) (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))))
(/.f32 (+.f32 (*.f32 (-.f32 48038761/100000000 (pow.f32 (log.f32 (/.f32 1/2 v)) 2)) (+.f32 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) 2) (+.f32 (pow.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)) 2) (*.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))))) (*.f32 (-.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (-.f32 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) 3) (pow.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)) 3)))) (*.f32 (-.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) 2) (+.f32 (pow.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)) 2) (*.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))))))
(/.f32 (+.f32 (*.f32 (-.f32 48038761/100000000 (pow.f32 (log.f32 (/.f32 1/2 v)) 2)) (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))) (*.f32 (-.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (-.f32 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) 2) (pow.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)) 2)))) (*.f32 (-.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) 3) (pow.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) 3))) (neg.f32 (+.f32 (pow.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) 2) (-.f32 (pow.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) 2) (*.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) 2) (pow.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) 2))) (neg.f32 (-.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))))
(pow.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) 1)
(pow.f32 (cbrt.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))) 3)
(pow.f32 (pow.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) 3) 1/3)
(pow.f32 (sqrt.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))) 2)
(sqrt.f32 (pow.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) 2))
(log.f32 (*.f32 (exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) 6931/10000)) (/.f32 1/2 v)))
(log.f32 (+.f32 1 (expm1.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))))
(cbrt.f32 (pow.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) 3))
(expm1.f32 (log1p.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))))
(log1p.f32 (expm1.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))))
(exp.f32 (log.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))))
(exp.f32 (*.f32 (log.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))) 1))
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) (neg.f32 (-.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))))
(fma.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 1 v) (neg.f32 (-.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))))
(fma.f32 1 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (neg.f32 (-.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))))
(fma.f32 1 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))
(fma.f32 1 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))))
(fma.f32 (/.f32 cosTheta_O v) cosTheta_i (neg.f32 (-.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)) (+.f32 6931/10000 (log.f32 (/.f32 1/2 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 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))))
(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 6931/10000 (log.f32 (/.f32 1/2 v))))
(fma.f32 (pow.f32 (cbrt.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) 2) (cbrt.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))))
(fma.f32 (sqrt.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (sqrt.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (neg.f32 (-.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))))
(fma.f32 (sqrt.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))) (sqrt.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))
(fma.f32 (sqrt.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) (sqrt.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))))

simplify449.0ms (2%)

Algorithm
egg-herbie
Rules
649×fma-define
301×distribute-rgt-in
295×distribute-lft-in
281×sqr-pow
263×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0119952674
1358249511
Stop Event
node limit
Counts
830 → 665
Calls
Call 1
Inputs
(exp.f32 (-.f32 6931/10000 (/.f32 1 v)))
(+.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) v))
(+.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (+.f32 (*.f32 1/2 (/.f32 (*.f32 (pow.f32 cosTheta_O 2) (*.f32 (pow.f32 cosTheta_i 2) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 2))) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) v)))
(+.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (+.f32 (*.f32 1/6 (/.f32 (*.f32 (pow.f32 cosTheta_O 3) (*.f32 (pow.f32 cosTheta_i 3) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 3))) (+.f32 (*.f32 1/2 (/.f32 (*.f32 (pow.f32 cosTheta_O 2) (*.f32 (pow.f32 cosTheta_i 2) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 2))) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) v))))
(exp.f32 (-.f32 6931/10000 (/.f32 1 v)))
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(*.f32 (pow.f32 (cbrt.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))) 2) (cbrt.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))))
(*.f32 (sqrt.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))) (sqrt.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))))
(/.f32 (+.f32 (pow.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) 3) (pow.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) 3)) (+.f32 (pow.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) 2) (-.f32 (pow.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) 2) (*.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))))
(/.f32 (-.f32 (pow.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) 2) (pow.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) 2)) (-.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
(/.f32 (+.f32 (*.f32 (-.f32 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) 3) (pow.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)) 3)) (+.f32 48038761/100000000 (-.f32 (pow.f32 (log.f32 (/.f32 1/2 v)) 2) (*.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))) (*.f32 (+.f32 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) 2) (+.f32 (pow.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)) 2) (*.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))))) (+.f32 332956652491/1000000000000 (pow.f32 (log.f32 (/.f32 1/2 v)) 3)))) (*.f32 (+.f32 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) 2) (+.f32 (pow.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)) 2) (*.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))))) (+.f32 48038761/100000000 (-.f32 (pow.f32 (log.f32 (/.f32 1/2 v)) 2) (*.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))))
(/.f32 (+.f32 (*.f32 (-.f32 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) 3) (pow.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)) 3)) (-.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) (*.f32 (+.f32 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) 2) (+.f32 (pow.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)) 2) (*.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))))) (-.f32 48038761/100000000 (pow.f32 (log.f32 (/.f32 1/2 v)) 2)))) (*.f32 (+.f32 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) 2) (+.f32 (pow.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)) 2) (*.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))))) (-.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
(/.f32 (+.f32 (*.f32 (-.f32 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) 2) (pow.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)) 2)) (+.f32 48038761/100000000 (-.f32 (pow.f32 (log.f32 (/.f32 1/2 v)) 2) (*.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))) (*.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) (+.f32 332956652491/1000000000000 (pow.f32 (log.f32 (/.f32 1/2 v)) 3)))) (*.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) (+.f32 48038761/100000000 (-.f32 (pow.f32 (log.f32 (/.f32 1/2 v)) 2) (*.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))))
(/.f32 (+.f32 (*.f32 (-.f32 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) 2) (pow.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)) 2)) (-.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) (*.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) (-.f32 48038761/100000000 (pow.f32 (log.f32 (/.f32 1/2 v)) 2)))) (*.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) (-.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
(/.f32 (+.f32 (*.f32 (+.f32 332956652491/1000000000000 (pow.f32 (log.f32 (/.f32 1/2 v)) 3)) (+.f32 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) 2) (+.f32 (pow.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)) 2) (*.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))))) (*.f32 (+.f32 48038761/100000000 (-.f32 (pow.f32 (log.f32 (/.f32 1/2 v)) 2) (*.f32 6931/10000 (log.f32 (/.f32 1/2 v))))) (-.f32 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) 3) (pow.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)) 3)))) (*.f32 (+.f32 48038761/100000000 (-.f32 (pow.f32 (log.f32 (/.f32 1/2 v)) 2) (*.f32 6931/10000 (log.f32 (/.f32 1/2 v))))) (+.f32 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) 2) (+.f32 (pow.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)) 2) (*.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))))))
(/.f32 (+.f32 (*.f32 (+.f32 332956652491/1000000000000 (pow.f32 (log.f32 (/.f32 1/2 v)) 3)) (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))) (*.f32 (+.f32 48038761/100000000 (-.f32 (pow.f32 (log.f32 (/.f32 1/2 v)) 2) (*.f32 6931/10000 (log.f32 (/.f32 1/2 v))))) (-.f32 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) 2) (pow.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)) 2)))) (*.f32 (+.f32 48038761/100000000 (-.f32 (pow.f32 (log.f32 (/.f32 1/2 v)) 2) (*.f32 6931/10000 (log.f32 (/.f32 1/2 v))))) (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))))
(/.f32 (+.f32 (*.f32 (-.f32 48038761/100000000 (pow.f32 (log.f32 (/.f32 1/2 v)) 2)) (+.f32 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) 2) (+.f32 (pow.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)) 2) (*.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))))) (*.f32 (-.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (-.f32 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) 3) (pow.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)) 3)))) (*.f32 (-.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) 2) (+.f32 (pow.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)) 2) (*.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))))))
(/.f32 (+.f32 (*.f32 (-.f32 48038761/100000000 (pow.f32 (log.f32 (/.f32 1/2 v)) 2)) (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))) (*.f32 (-.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (-.f32 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) 2) (pow.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)) 2)))) (*.f32 (-.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) 3) (pow.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) 3))) (neg.f32 (+.f32 (pow.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) 2) (-.f32 (pow.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) 2) (*.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) 2) (pow.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) 2))) (neg.f32 (-.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))))
(pow.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) 1)
(pow.f32 (cbrt.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))) 3)
(pow.f32 (pow.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) 3) 1/3)
(pow.f32 (sqrt.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))) 2)
(sqrt.f32 (pow.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) 2))
(log.f32 (*.f32 (exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) 6931/10000)) (/.f32 1/2 v)))
(log.f32 (+.f32 1 (expm1.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))))
(cbrt.f32 (pow.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) 3))
(expm1.f32 (log1p.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))))
(log1p.f32 (expm1.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))))
(exp.f32 (log.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))))
(exp.f32 (*.f32 (log.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))) 1))
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) (neg.f32 (-.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))))
(fma.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 1 v) (neg.f32 (-.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))))
(fma.f32 1 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (neg.f32 (-.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))))
(fma.f32 1 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))
(fma.f32 1 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))))
(fma.f32 (/.f32 cosTheta_O v) cosTheta_i (neg.f32 (-.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)) (+.f32 6931/10000 (log.f32 (/.f32 1/2 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 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))))
(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 6931/10000 (log.f32 (/.f32 1/2 v))))
(fma.f32 (pow.f32 (cbrt.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) 2) (cbrt.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))))
(fma.f32 (sqrt.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (sqrt.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (neg.f32 (-.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))))
(fma.f32 (sqrt.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))) (sqrt.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))
(fma.f32 (sqrt.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) (sqrt.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))))
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 (*.f32 cosTheta_O (*.f32 cosTheta_i (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) v))
(+.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (/.f32 cosTheta_O (/.f32 v (*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) cosTheta_i))))
(+.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (+.f32 (*.f32 1/2 (/.f32 (*.f32 (pow.f32 cosTheta_O 2) (*.f32 (pow.f32 cosTheta_i 2) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 2))) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) v)))
(+.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (fma.f32 1/2 (/.f32 (*.f32 (*.f32 (pow.f32 cosTheta_O 2) (pow.f32 cosTheta_i 2)) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) (pow.f32 v 2)) (/.f32 cosTheta_O (/.f32 v (*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) cosTheta_i)))))
(+.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (+.f32 (*.f32 1/6 (/.f32 (*.f32 (pow.f32 cosTheta_O 3) (*.f32 (pow.f32 cosTheta_i 3) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 3))) (+.f32 (*.f32 1/2 (/.f32 (*.f32 (pow.f32 cosTheta_O 2) (*.f32 (pow.f32 cosTheta_i 2) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 2))) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) v))))
(+.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (fma.f32 1/6 (/.f32 (*.f32 (*.f32 (pow.f32 cosTheta_O 3) (pow.f32 cosTheta_i 3)) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) (pow.f32 v 3)) (fma.f32 1/2 (/.f32 (*.f32 (*.f32 (pow.f32 cosTheta_O 2) (pow.f32 cosTheta_i 2)) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) (pow.f32 v 2)) (/.f32 cosTheta_O (/.f32 v (*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) cosTheta_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 (*.f32 cosTheta_O (*.f32 cosTheta_i (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) v))
(+.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (/.f32 cosTheta_O (/.f32 v (*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) cosTheta_i))))
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(fma.f32 (sqrt.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (sqrt.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (neg.f32 (-.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))))
(+.f32 (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (+.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)) -6931/10000)) (log.f32 (/.f32 1/2 v)))
(+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (/.f32 (neg.f32 (fma.f32 sinTheta_O sinTheta_i 1)) v))))
(fma.f32 (sqrt.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))) (sqrt.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))
(+.f32 (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (+.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)) -6931/10000)) (log.f32 (/.f32 1/2 v)))
(+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (/.f32 (neg.f32 (fma.f32 sinTheta_O sinTheta_i 1)) v))))
(fma.f32 (sqrt.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) (sqrt.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))) (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))))
(+.f32 (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (+.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)) -6931/10000)) (log.f32 (/.f32 1/2 v)))
(+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (/.f32 (neg.f32 (fma.f32 sinTheta_O sinTheta_i 1)) v))))

eval573.0ms (2.6%)

Compiler

Compiled 26116 to 16782 computations (35.7% saved)

prune388.0ms (1.7%)

Pruning

17 alts after pruning (16 fresh and 1 done)

PrunedKeptTotal
New88115896
Fresh415
Picked415
Done000
Total88917906
Accuracy
99.8%
Counts
906 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.1%
(pow.f32 (cbrt.f32 (*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v))) (/.f32 1/2 v))) 3)
99.3%
(pow.f32 (E.f32) (/.f32 (-.f32 (pow.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) 2) (pow.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) 2)) (-.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))))
99.1%
(pow.f32 (E.f32) (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 1 v)))
13.6%
(pow.f32 (E.f32) (*.f32 sinTheta_O (neg.f32 (/.f32 sinTheta_i v))))
99.2%
(pow.f32 (E.f32) (log.f32 (*.f32 (exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) 6931/10000)) (/.f32 1/2 v))))
98.9%
(/.f32 (*.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) (exp.f32 (/.f32 1 v)))
97.9%
(*.f32 (/.f32 1/2 v) (pow.f32 (pow.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v))) 3) 1/3))
99.1%
(*.f32 (/.f32 1/2 v) (pow.f32 (cbrt.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v)))) 3))
99.3%
(*.f32 (/.f32 1/2 v) (pow.f32 (E.f32) (+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v))))
99.1%
(*.f32 (/.f32 1/2 v) (*.f32 (exp.f32 6931/10000) (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v))))
99.1%
(*.f32 (/.f32 1/2 v) (exp.f32 (/.f32 (-.f32 (*.f32 (-.f32 48038761/100000000 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) 2)) v) (*.f32 (-.f32 6931/10000 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) 1)) (*.f32 (-.f32 6931/10000 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) v))))
99.1%
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))
4.7%
(*.f32 (/.f32 1/2 v) (exp.f32 6931/10000))
99.6%
(*.f32 1/2 (/.f32 (pow.f32 (E.f32) (+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v))) v))
4.7%
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
4.7%
(*.f32 1/2 (/.f32 1 (/.f32 v (exp.f32 6931/10000))))
99.1%
(exp.f32 (+.f32 (+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v)) (log.f32 (/.f32 1/2 v))))
Compiler

Compiled 735 to 564 computations (23.3% saved)

localize839.0ms (3.8%)

Localize:

Found 17 expressions with local error:

NewAccuracyProgram
99.8%
(+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v))
99.6%
(*.f32 (/.f32 1/2 v) (pow.f32 (pow.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v))) 3) 1/3))
99.6%
(exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v)))
98.4%
(pow.f32 (pow.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v))) 3) 1/3)
99.7%
(+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
99.6%
(pow.f32 (E.f32) (-.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))
71.2%
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
100.0%
(*.f32 cosTheta_O cosTheta_i)
99.8%
(+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v))
99.7%
(pow.f32 (E.f32) (+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v)))
99.6%
(*.f32 (/.f32 1/2 v) (pow.f32 (E.f32) (+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v))))
99.0%
(*.f32 (/.f32 1/2 v) (exp.f32 6931/10000))
100.0%
(*.f32 cosTheta_O cosTheta_i)
100.0%
(/.f32 (pow.f32 (E.f32) (+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v))) v)
99.8%
(+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v))
99.7%
(pow.f32 (E.f32) (+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v)))
Compiler

Compiled 320 to 178 computations (44.4% saved)

series247.0ms (1.1%)

Counts
15 → 426
Calls

123 calls:

TimeVariablePointExpression
88.0ms
v
@-inf
(*.f32 (/.f32 1/2 v) (pow.f32 (E.f32) (+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v))))
12.0ms
cosTheta_i
@inf
(pow.f32 (pow.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v))) 3) 1/3)
7.0ms
cosTheta_O
@inf
(*.f32 (/.f32 1/2 v) (pow.f32 (E.f32) (+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v))))
6.0ms
cosTheta_O
@0
(pow.f32 (pow.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v))) 3) 1/3)
6.0ms
v
@-inf
(pow.f32 (pow.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v))) 3) 1/3)

rewrite211.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
278×log1p-expm1-u
278×expm1-log1p-u
257×pow1
255×add-exp-log
250×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
037552
1617507
Stop Event
node limit
Counts
15 → 379
Calls
Call 1
Inputs
(pow.f32 (E.f32) (+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v)))
(+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v))
(/.f32 (pow.f32 (E.f32) (+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v))) v)
(*.f32 cosTheta_O cosTheta_i)
(*.f32 (/.f32 1/2 v) (exp.f32 6931/10000))
(*.f32 (/.f32 1/2 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 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v)))
(+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v))
(*.f32 cosTheta_O cosTheta_i)
(pow.f32 (E.f32) (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 1 v)))
(+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) 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 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v)))
(*.f32 (/.f32 1/2 v) (pow.f32 (pow.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v))) 3) 1/3))
(+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v))
Outputs
(-.f32 (exp.f32 (log1p.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v))))) 1)
(*.f32 1 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v))))
(*.f32 (exp.f32 6931/10000) (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)))
(*.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)) (exp.f32 6931/10000))
(*.f32 (pow.f32 (cbrt.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)))) 2) (cbrt.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)))))
(*.f32 (cbrt.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)))) (pow.f32 (cbrt.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)))) 2))
(*.f32 (cbrt.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)))) (pow.f32 (pow.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v))) 2) 1/3))
(*.f32 (sqrt.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)))) (sqrt.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)))))
(*.f32 (pow.f32 1 1/3) (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v))))
(*.f32 (pow.f32 (pow.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v))) 2) 1/3) (cbrt.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)))))
(*.f32 (pow.f32 (pow.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v))) 3/2) 1/3) (pow.f32 (pow.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v))) 3/2) 1/3))
(*.f32 (pow.f32 1 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v))) (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v))))
(*.f32 (pow.f32 (cbrt.f32 (exp.f32 2)) (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v))) (pow.f32 (cbrt.f32 (E.f32)) (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v))))
(*.f32 (pow.f32 (sqrt.f32 (E.f32)) (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v))) (pow.f32 (sqrt.f32 (E.f32)) (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v))))
(sqrt.f32 (pow.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v))) 2))
(log.f32 (exp.f32 (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 (fma.f32 cosTheta_O cosTheta_i -1) v))))))
(cbrt.f32 (pow.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v))) 3))
(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 (fma.f32 cosTheta_O cosTheta_i -1) v)))))
(exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)))
(-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (-.f32 (/.f32 1 v) 6931/10000))
(-.f32 (exp.f32 (log1p.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)))) 1)
(-.f32 (/.f32 48038761/100000000 (-.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v))) (/.f32 (pow.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v) 2) (-.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v))))
(-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))
(*.f32 1 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)))
(*.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)) 1)
(*.f32 1/3 (*.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)) 3))
(*.f32 (*.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)) 3) 1/3)
(*.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))))
(*.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))))
(*.f32 (+.f32 332956652491/1000000000000 (pow.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v) 3)) (/.f32 1 (+.f32 48038761/100000000 (*.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v) (-.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v) 6931/10000)))))
(*.f32 (-.f32 48038761/100000000 (pow.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v) 2)) (/.f32 1 (-.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v))))
(/.f32 1 (/.f32 (+.f32 48038761/100000000 (*.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v) (-.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v) 6931/10000))) (+.f32 332956652491/1000000000000 (pow.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v) 3))))
(/.f32 1 (/.f32 (-.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)) (-.f32 48038761/100000000 (pow.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v) 2))))
(/.f32 (+.f32 332956652491/1000000000000 (pow.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v) 3)) (+.f32 48038761/100000000 (*.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v) (-.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v) 6931/10000))))
(/.f32 (-.f32 48038761/100000000 (pow.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v) 2)) (-.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)))
(/.f32 (neg.f32 (+.f32 332956652491/1000000000000 (pow.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v) 3))) (neg.f32 (+.f32 48038761/100000000 (*.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v) (-.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v) 6931/10000)))))
(/.f32 (neg.f32 (-.f32 48038761/100000000 (pow.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v) 2))) (neg.f32 (-.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v))))
(/.f32 (+.f32 (pow.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v) 3) 332956652491/1000000000000) (+.f32 (pow.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v) 2) (-.f32 48038761/100000000 (*.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v) 6931/10000))))
(/.f32 (-.f32 (pow.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v) 2) 48038761/100000000) (-.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v) 6931/10000))
(pow.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)) 1)
(pow.f32 (cbrt.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v))) 3)
(pow.f32 (pow.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)) 3) 1/3)
(pow.f32 (sqrt.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v))) 2)
(sqrt.f32 (pow.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)) 2))
(log.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v))))
(log.f32 (+.f32 1 (expm1.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)))))
(cbrt.f32 (pow.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)) 3))
(expm1.f32 (log1p.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v))))
(log1p.f32 (expm1.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v))))
(exp.f32 (log.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v))))
(exp.f32 (*.f32 (log.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v))) 1))
(fma.f32 1 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v) 6931/10000)
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(exp.f32 (log.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v))))
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(fma.f32 1 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v) 6931/10000)
(fma.f32 (fma.f32 cosTheta_O cosTheta_i -1) (/.f32 1 v) 6931/10000)
(fma.f32 (pow.f32 (cbrt.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)) 2) (cbrt.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)) 6931/10000)
(fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)) (sqrt.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)) 6931/10000)

simplify421.0ms (1.9%)

Algorithm
egg-herbie
Rules
700×associate-*l*
468×times-frac
448×fma-define
244×sqr-pow
239×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
092848946
1273345134
Stop Event
node limit
Counts
805 → 471
Calls
Call 1
Inputs
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(/.f32 (+.f32 332956652491/1000000000000 (pow.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v) 3)) (+.f32 48038761/100000000 (*.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v) (-.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v) 6931/10000))))
(/.f32 (-.f32 48038761/100000000 (pow.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v) 2)) (-.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)))
(/.f32 (neg.f32 (+.f32 332956652491/1000000000000 (pow.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v) 3))) (neg.f32 (+.f32 48038761/100000000 (*.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v) (-.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v) 6931/10000)))))
(/.f32 (neg.f32 (-.f32 48038761/100000000 (pow.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v) 2))) (neg.f32 (-.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v))))
(/.f32 (+.f32 (pow.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v) 3) 332956652491/1000000000000) (+.f32 (pow.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v) 2) (-.f32 48038761/100000000 (*.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v) 6931/10000))))
(/.f32 (-.f32 (pow.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v) 2) 48038761/100000000) (-.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v) 6931/10000))
(pow.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)) 1)
(pow.f32 (cbrt.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v))) 3)
(pow.f32 (pow.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)) 3) 1/3)
(pow.f32 (sqrt.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v))) 2)
(sqrt.f32 (pow.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)) 2))
(log.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v))))
(log.f32 (+.f32 1 (expm1.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)))))
(cbrt.f32 (pow.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)) 3))
(expm1.f32 (log1p.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v))))
(log1p.f32 (expm1.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v))))
(exp.f32 (log.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v))))
(exp.f32 (*.f32 (log.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v))) 1))
(fma.f32 1 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v) 6931/10000)
(fma.f32 (fma.f32 cosTheta_O cosTheta_i -1) (/.f32 1 v) 6931/10000)
(fma.f32 (pow.f32 (cbrt.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)) 2) (cbrt.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)) 6931/10000)
(fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)) (sqrt.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)) 6931/10000)
Outputs
(exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 6931/10000 (/.f32 1 v))))
(pow.f32 (E.f32) (-.f32 6931/10000 (/.f32 1 v)))
(exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))
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(+.f32 (pow.f32 (E.f32) (-.f32 6931/10000 (/.f32 1 v))) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 1 (pow.f32 (E.f32) (-.f32 6931/10000 (/.f32 1 v))))) v))
(+.f32 (/.f32 cosTheta_O (/.f32 v (*.f32 cosTheta_i (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))))) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))))
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(exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))))
(exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)))
(exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))))
(exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)))
(exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))))
(exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)))
(exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))))
(exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)))
(exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))))
(exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)))
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(exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)))
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(exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)))
(exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 6931/10000 (/.f32 1 v))))
(pow.f32 (E.f32) (-.f32 6931/10000 (/.f32 1 v)))
(exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))
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(exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))))
(exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)))
(exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))))
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(exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))))
(exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)))
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(exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))))
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(pow.f32 (pow.f32 (E.f32) 6931) 1/10000)
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(pow.f32 (E.f32) (-.f32 6931/10000 (/.f32 1 v)))
(exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))
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(log.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v))))
(+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v))
(log.f32 (+.f32 1 (expm1.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)))))
(+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v))
(cbrt.f32 (pow.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)) 3))
(+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v))
(expm1.f32 (log1p.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v))))
(+.f32 (+.f32 16931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)) -1)
(log1p.f32 (expm1.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v))))
(+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v))
(exp.f32 (log.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v))))
(+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v))
(exp.f32 (*.f32 (log.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v))) 1))
(+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v))
(fma.f32 1 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v) 6931/10000)
(+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v))
(fma.f32 (fma.f32 cosTheta_O cosTheta_i -1) (/.f32 1 v) 6931/10000)
(fma.f32 (pow.f32 (cbrt.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)) 2) (cbrt.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)) 6931/10000)
(+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v))
(fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)) (sqrt.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)) 6931/10000)
(+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v))

eval709.0ms (3.2%)

Compiler

Compiled 23438 to 17103 computations (27% saved)

prune206.0ms (0.9%)

Pruning

18 alts after pruning (16 fresh and 2 done)

PrunedKeptTotal
New7428750
Fresh3811
Picked415
Done011
Total74918767
Accuracy
99.8%
Counts
767 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.1%
(pow.f32 (cbrt.f32 (*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v))) (/.f32 1/2 v))) 3)
99.3%
(pow.f32 (E.f32) (/.f32 (-.f32 (pow.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) 2) (pow.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) 2)) (-.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))))
99.1%
(pow.f32 (E.f32) (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v)))
13.6%
(pow.f32 (E.f32) (*.f32 sinTheta_O (neg.f32 (/.f32 sinTheta_i v))))
99.2%
(pow.f32 (E.f32) (log.f32 (*.f32 (exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) 6931/10000)) (/.f32 1/2 v))))
98.9%
(/.f32 (*.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) (exp.f32 (/.f32 1 v)))
99.6%
(/.f32 (*.f32 1/2 (pow.f32 (E.f32) (-.f32 6931/10000 (/.f32 1 v)))) v)
99.3%
(*.f32 (/.f32 1/2 v) (pow.f32 (E.f32) (-.f32 6931/10000 (/.f32 1 v))))
99.2%
(*.f32 (/.f32 1/2 v) (pow.f32 (E.f32) (*.f32 (*.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)) 3) 1/3)))
99.1%
(*.f32 (/.f32 1/2 v) (*.f32 (exp.f32 6931/10000) (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v))))
99.1%
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))
99.0%
(*.f32 (/.f32 1/2 v) (exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 6931/10000 (/.f32 1 v)))))
4.7%
(*.f32 (/.f32 1/2 v) (exp.f32 6931/10000))
4.7%
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
4.7%
(*.f32 1/2 (/.f32 1 (/.f32 v (exp.f32 6931/10000))))
99.5%
(*.f32 1/2 (*.f32 (/.f32 (pow.f32 (cbrt.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)))) 2) (sqrt.f32 v)) (/.f32 (cbrt.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)))) (sqrt.f32 v))))
99.6%
(*.f32 1/2 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)) (log.f32 v))))
99.1%
(exp.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (/.f32 -1 v))))
Compiler

Compiled 708 to 566 computations (20.1% saved)

localize5.7s (25.8%)

Localize:

Found 17 expressions with local error:

NewAccuracyProgram
99.6%
(pow.f32 (E.f32) (log.f32 (*.f32 (exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) 6931/10000)) (/.f32 1/2 v))))
99.6%
(exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) 6931/10000))
85.8%
(log.f32 (*.f32 (exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) 6931/10000)) (/.f32 1/2 v)))
25.0%
(E.f32)
100.0%
(*.f32 (/.f32 1/2 v) (*.f32 (exp.f32 6931/10000) (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v))))
100.0%
(*.f32 (exp.f32 6931/10000) (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v)))
99.6%
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v))
100.0%
(log.f32 (/.f32 1/2 v))
99.9%
(+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (/.f32 -1 v)))
99.8%
(+.f32 6931/10000 (/.f32 -1 v))
99.5%
(exp.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (/.f32 -1 v))))
99.9%
(/.f32 1 (/.f32 v (exp.f32 6931/10000)))
99.9%
(/.f32 v (exp.f32 6931/10000))
99.9%
(/.f32 (*.f32 1/2 (pow.f32 (E.f32) (-.f32 6931/10000 (/.f32 1 v)))) v)
99.8%
(-.f32 6931/10000 (/.f32 1 v))
99.7%
(pow.f32 (E.f32) (-.f32 6931/10000 (/.f32 1 v)))
25.0%
(E.f32)
Compiler

Compiled 318 to 184 computations (42.1% saved)

series1.0s (4.5%)

Counts
16 → 323
Calls

96 calls:

TimeVariablePointExpression
411.0ms
v
@0
(pow.f32 (E.f32) (-.f32 6931/10000 (/.f32 1 v)))
200.0ms
v
@0
(log.f32 (*.f32 (exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) 6931/10000)) (/.f32 1/2 v)))
36.0ms
cosTheta_O
@inf
(pow.f32 (E.f32) (log.f32 (*.f32 (exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) 6931/10000)) (/.f32 1/2 v))))
32.0ms
cosTheta_O
@inf
(log.f32 (*.f32 (exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) 6931/10000)) (/.f32 1/2 v)))
28.0ms
sinTheta_i
@-inf
(log.f32 (*.f32 (exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) 6931/10000)) (/.f32 1/2 v)))

rewrite143.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
394×log1p-expm1-u
394×expm1-log1p-u
382×add-exp-log
379×add-log-exp
374×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
050564
1861548
Stop Event
node limit
Counts
16 → 299
Calls
Call 1
Inputs
(E.f32)
(pow.f32 (E.f32) (-.f32 6931/10000 (/.f32 1 v)))
(-.f32 6931/10000 (/.f32 1 v))
(/.f32 (*.f32 1/2 (pow.f32 (E.f32) (-.f32 6931/10000 (/.f32 1 v)))) v)
(/.f32 v (exp.f32 6931/10000))
(/.f32 1 (/.f32 v (exp.f32 6931/10000)))
(exp.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (/.f32 -1 v))))
(+.f32 6931/10000 (/.f32 -1 v))
(+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (/.f32 -1 v)))
(exp.f32 (/.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 (/.f32 1/2 v) (*.f32 (exp.f32 6931/10000) (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v))))
(E.f32)
(log.f32 (*.f32 (exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) 6931/10000)) (/.f32 1/2 v)))
(exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) 6931/10000))
(pow.f32 (E.f32) (log.f32 (*.f32 (exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) 6931/10000)) (/.f32 1/2 v))))
Outputs
(-.f32 (exp.f32 (log1p.f32 (E.f32))) 1)
(*.f32 1 (E.f32))
(*.f32 (cbrt.f32 (exp.f32 2)) (cbrt.f32 (E.f32)))
(*.f32 (sqrt.f32 (E.f32)) (sqrt.f32 (E.f32)))
(pow.f32 (E.f32) 1)
(pow.f32 (cbrt.f32 (E.f32)) 3)
(pow.f32 (pow.f32 (E.f32) 3) 1/3)
(pow.f32 (sqrt.f32 (E.f32)) 2)
(log.f32 (exp.f32 (E.f32)))
(log.f32 (+.f32 1 (expm1.f32 (E.f32))))
(cbrt.f32 (pow.f32 (E.f32) 3))
(expm1.f32 (log1p.f32 (E.f32)))
(log1p.f32 (expm1.f32 (E.f32)))
(exp.f32 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) (pow.f32 (E.f32) (neg.f32 (/.f32 1 v))))
(*.f32 (exp.f32 6931/10000) (exp.f32 (neg.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 (E.f32) (/.f32 (-.f32 6931/10000 (/.f32 1 v)) 2)) (pow.f32 (E.f32) (/.f32 (-.f32 6931/10000 (/.f32 1 v)) 2)))
(*.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 (exp.f32 6931/10000) (exp.f32 (/.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 (neg.f32 (/.f32 1 v)))
(+.f32 0 (-.f32 6931/10000 (/.f32 1 v)))
(+.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 (log.f32 (sqrt.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (log.f32 (sqrt.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))))
(+.f32 (log.f32 (pow.f32 (E.f32) (/.f32 (-.f32 6931/10000 (/.f32 1 v)) 2))) (log.f32 (pow.f32 (E.f32) (/.f32 (-.f32 6931/10000 (/.f32 1 v)) 2))))
(*.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 48038761/100000000 (+.f32 (pow.f32 v -2) (*.f32 6931/10000 (/.f32 1 v)))))
(/.f32 (-.f32 48038761/100000000 (pow.f32 v -2)) (+.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)
(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 1/2 (/.f32 v (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))))) 1)
(*.f32 1 (/.f32 1/2 (/.f32 v (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))))
(*.f32 (*.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) 1/2) (/.f32 1 v))
(*.f32 (pow.f32 (cbrt.f32 (/.f32 1/2 (/.f32 v (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))))) 2) (cbrt.f32 (/.f32 1/2 (/.f32 v (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))))))
(*.f32 (sqrt.f32 (/.f32 1/2 (/.f32 v (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))))) (sqrt.f32 (/.f32 1/2 (/.f32 v (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))))))
(pow.f32 (/.f32 1/2 (/.f32 v (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) 1)
(pow.f32 (cbrt.f32 (/.f32 1/2 (/.f32 v (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))))) 3)
(pow.f32 (pow.f32 (/.f32 1/2 (/.f32 v (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) 3) 1/3)
(pow.f32 (sqrt.f32 (/.f32 1/2 (/.f32 v (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))))) 2)
(pow.f32 (/.f32 v (*.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) 1/2)) -1)
(log.f32 (exp.f32 (/.f32 1/2 (/.f32 v (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))))))
(log.f32 (+.f32 1 (expm1.f32 (/.f32 1/2 (/.f32 v (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))))))
(cbrt.f32 (pow.f32 (/.f32 1/2 (/.f32 v (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) 3))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) 1/2) 3) (pow.f32 v -3)))
(cbrt.f32 (/.f32 (pow.f32 (*.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) 1/2) 3) (pow.f32 v 3)))
(expm1.f32 (log1p.f32 (/.f32 1/2 (/.f32 v (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))))))
(log1p.f32 (expm1.f32 (/.f32 1/2 (/.f32 v (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))))))
(exp.f32 (-.f32 (+.f32 (-.f32 6931/10000 (/.f32 1 v)) (log.f32 1/2)) (log.f32 v)))
(exp.f32 (*.f32 (-.f32 (+.f32 (-.f32 6931/10000 (/.f32 1 v)) (log.f32 1/2)) (log.f32 v)) 1))
(-.f32 (exp.f32 (log1p.f32 (*.f32 v (exp.f32 -6931/10000)))) 1)
(*.f32 1 (*.f32 v (exp.f32 -6931/10000)))
(*.f32 v (exp.f32 -6931/10000))
(*.f32 (pow.f32 (cbrt.f32 (*.f32 v (exp.f32 -6931/10000))) 2) (cbrt.f32 (*.f32 v (exp.f32 -6931/10000))))
(*.f32 (sqrt.f32 (*.f32 v (exp.f32 -6931/10000))) (sqrt.f32 (*.f32 v (exp.f32 -6931/10000))))
(pow.f32 (*.f32 v (exp.f32 -6931/10000)) 1)
(pow.f32 (cbrt.f32 (*.f32 v (exp.f32 -6931/10000))) 3)
(pow.f32 (pow.f32 (*.f32 v (exp.f32 -6931/10000)) 3) 1/3)
(pow.f32 (sqrt.f32 (*.f32 v (exp.f32 -6931/10000))) 2)
(pow.f32 (/.f32 (exp.f32 6931/10000) v) -1)
(log.f32 (pow.f32 (exp.f32 v) (exp.f32 -6931/10000)))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 v (exp.f32 -6931/10000)))))
(cbrt.f32 (pow.f32 (*.f32 v (exp.f32 -6931/10000)) 3))
(cbrt.f32 (/.f32 (pow.f32 v 3) (pow.f32 (exp.f32 6931/10000) 3)))
(expm1.f32 (log1p.f32 (*.f32 v (exp.f32 -6931/10000))))
(log1p.f32 (expm1.f32 (*.f32 v (exp.f32 -6931/10000))))
(exp.f32 (-.f32 (log.f32 v) 6931/10000))
(exp.f32 (*.f32 (-.f32 (log.f32 v) 6931/10000) 1))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (/.f32 1 v) (exp.f32 6931/10000)))) 1)
(*.f32 1 (*.f32 (/.f32 1 v) (exp.f32 6931/10000)))
(*.f32 (/.f32 1 v) (exp.f32 6931/10000))
(*.f32 (/.f32 1 v) (pow.f32 (exp.f32 -6931/10000) -1))
(*.f32 (cbrt.f32 (pow.f32 (*.f32 v (exp.f32 -6931/10000)) -2)) (/.f32 1 (cbrt.f32 (*.f32 v (exp.f32 -6931/10000)))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 1 v) (exp.f32 6931/10000))) (sqrt.f32 (*.f32 (/.f32 1 v) (exp.f32 6931/10000))))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (*.f32 v (exp.f32 -6931/10000))) 2) -1) (pow.f32 (cbrt.f32 (*.f32 v (exp.f32 -6931/10000))) -1))
(*.f32 (pow.f32 (sqrt.f32 (*.f32 v (exp.f32 -6931/10000))) -1) (pow.f32 (sqrt.f32 (*.f32 v (exp.f32 -6931/10000))) -1))
(pow.f32 (*.f32 v (exp.f32 -6931/10000)) -1)
(pow.f32 (*.f32 (/.f32 1 v) (exp.f32 6931/10000)) 1)
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(pow.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))))) 1)
(pow.f32 (cbrt.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))))) 3)
(pow.f32 (pow.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))))) 3) 1/3)
(pow.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))))) 2)
(cbrt.f32 (pow.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))))) 3))
(expm1.f32 (log1p.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))))))
(log1p.f32 (expm1.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))))))
(exp.f32 (log.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))))))
(exp.f32 (*.f32 (log.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))))) 1))
(fma.f32 1 (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))) (log.f32 (/.f32 1/2 v)))
(fma.f32 (pow.f32 (cbrt.f32 (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))))) 2) (cbrt.f32 (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))))) (log.f32 (/.f32 1/2 v)))
(fma.f32 (sqrt.f32 (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))))) (sqrt.f32 (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))))) (log.f32 (/.f32 1/2 v)))
(-.f32 (exp.f32 (log1p.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))))))) 1)
(*.f32 1 (exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))))))
(*.f32 (exp.f32 6931/10000) (exp.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))))
(*.f32 (exp.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))) (exp.f32 6931/10000))
(*.f32 (pow.f32 (cbrt.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))))) 2) (cbrt.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))))))
(*.f32 (sqrt.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))))) (sqrt.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))))))
(/.f32 (pow.f32 (exp.f32 (/.f32 cosTheta_O v)) cosTheta_i) (exp.f32 (-.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)) 6931/10000)))
(pow.f32 (E.f32) (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))))
(pow.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))))) 1)
(pow.f32 (cbrt.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))))) 3)
(pow.f32 (pow.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))))) 3) 1/3)
(pow.f32 (sqrt.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))))) 2)
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))))) 2)) (cbrt.f32 (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))))))
(pow.f32 (exp.f32 (sqrt.f32 (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))))) (sqrt.f32 (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))))))
(log.f32 (exp.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))))))
(log.f32 (+.f32 1 (expm1.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))))))))
(cbrt.f32 (pow.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))))) 3))
(expm1.f32 (log1p.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))))))
(log1p.f32 (expm1.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))))))) 1)
(*.f32 1 (*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))))))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))))))
(*.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))))) (/.f32 1/2 v))
(*.f32 (pow.f32 (cbrt.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))))))) 2) (cbrt.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))))))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))))))) (sqrt.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))))))))
(*.f32 (pow.f32 (E.f32) (/.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))))) 2)) (pow.f32 (E.f32) (/.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))))) 2)))
(*.f32 (pow.f32 1 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))))) (*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))))))
(*.f32 (pow.f32 (cbrt.f32 (exp.f32 2)) (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))))) (pow.f32 (cbrt.f32 (E.f32)) (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))))))
(*.f32 (pow.f32 (sqrt.f32 (E.f32)) (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))))) (pow.f32 (sqrt.f32 (E.f32)) (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))))))
(/.f32 (*.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))))) 1/2) v)
(log.f32 (pow.f32 (exp.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))))) (/.f32 1/2 v)))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))))))))
(cbrt.f32 (pow.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))))) 3))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 1/2 v) 3) (pow.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))))) 3)))
(cbrt.f32 (*.f32 (pow.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 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 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))))))))
(log1p.f32 (expm1.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))))))))
(exp.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))))))

simplify326.0ms (1.5%)

Algorithm
egg-herbie
Rules
749×fma-define
441×times-frac
299×sqr-pow
298×distribute-lft-in
293×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0116842808
1361339530
Stop Event
node limit
Counts
622 → 621
Calls
Call 1
Inputs
(exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 6931/10000 (/.f32 1 v))))
(exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 6931/10000 (/.f32 1 v))))
(exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 6931/10000 (/.f32 1 v))))
(exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 6931/10000 (/.f32 1 v))))
(pow.f32 (pow.f32 (E.f32) 6931) 1/10000)
(+.f32 (*.f32 -1 (*.f32 (pow.f32 (*.f32 1 (pow.f32 (E.f32) 6931)) 1/10000) (/.f32 (log.f32 (E.f32)) v))) (pow.f32 (pow.f32 (E.f32) 6931) 1/10000))
(+.f32 (*.f32 -1 (*.f32 (pow.f32 (*.f32 1 (pow.f32 (E.f32) 6931)) 1/10000) (/.f32 (log.f32 (E.f32)) v))) (+.f32 (*.f32 1/2 (*.f32 (pow.f32 (*.f32 1 (pow.f32 (E.f32) 6931)) 1/10000) (/.f32 (pow.f32 (log.f32 (E.f32)) 2) (pow.f32 v 2)))) (pow.f32 (pow.f32 (E.f32) 6931) 1/10000)))
(+.f32 (*.f32 -1 (*.f32 (pow.f32 (*.f32 1 (pow.f32 (E.f32) 6931)) 1/10000) (/.f32 (log.f32 (E.f32)) v))) (+.f32 (*.f32 -1/6 (*.f32 (pow.f32 (*.f32 1 (pow.f32 (E.f32) 6931)) 1/10000) (/.f32 (pow.f32 (log.f32 (E.f32)) 3) (pow.f32 v 3)))) (+.f32 (*.f32 1/2 (*.f32 (pow.f32 (*.f32 1 (pow.f32 (E.f32) 6931)) 1/10000) (/.f32 (pow.f32 (log.f32 (E.f32)) 2) (pow.f32 v 2)))) (pow.f32 (pow.f32 (E.f32) 6931) 1/10000))))
(pow.f32 (pow.f32 (E.f32) 6931) 1/10000)
(+.f32 (*.f32 -1 (*.f32 (pow.f32 (*.f32 1 (pow.f32 (E.f32) 6931)) 1/10000) (/.f32 (log.f32 (E.f32)) v))) (pow.f32 (pow.f32 (E.f32) 6931) 1/10000))
(+.f32 (*.f32 -1 (*.f32 (pow.f32 (*.f32 1 (pow.f32 (E.f32) 6931)) 1/10000) (/.f32 (log.f32 (E.f32)) v))) (+.f32 (*.f32 1/2 (*.f32 (pow.f32 (*.f32 1 (pow.f32 (E.f32) 6931)) 1/10000) (/.f32 (pow.f32 (log.f32 (E.f32)) 2) (pow.f32 v 2)))) (pow.f32 (pow.f32 (E.f32) 6931) 1/10000)))
(+.f32 (*.f32 -1 (*.f32 (pow.f32 (*.f32 1 (pow.f32 (E.f32) 6931)) 1/10000) (/.f32 (log.f32 (E.f32)) v))) (+.f32 (*.f32 -1/6 (*.f32 (pow.f32 (*.f32 1 (pow.f32 (E.f32) 6931)) 1/10000) (/.f32 (pow.f32 (log.f32 (E.f32)) 3) (pow.f32 v 3)))) (+.f32 (*.f32 1/2 (*.f32 (pow.f32 (*.f32 1 (pow.f32 (E.f32) 6931)) 1/10000) (/.f32 (pow.f32 (log.f32 (E.f32)) 2) (pow.f32 v 2)))) (pow.f32 (pow.f32 (E.f32) 6931) 1/10000))))
(/.f32 -1 v)
6931/10000
6931/10000
(*.f32 1/2 (/.f32 (exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 6931/10000 (/.f32 1 v)))) v))
(*.f32 1/2 (/.f32 (exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 6931/10000 (/.f32 1 v)))) v))
(*.f32 1/2 (/.f32 (exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 6931/10000 (/.f32 1 v)))) v))
(*.f32 1/2 (/.f32 (exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 6931/10000 (/.f32 1 v)))) v))
(*.f32 1/2 (*.f32 (pow.f32 (*.f32 1 (pow.f32 (E.f32) 6931)) 1/10000) (/.f32 1 v)))
(+.f32 (*.f32 -1/2 (*.f32 (pow.f32 (*.f32 1 (pow.f32 (E.f32) 6931)) 1/10000) (/.f32 (log.f32 (E.f32)) (pow.f32 v 2)))) (*.f32 1/2 (*.f32 (pow.f32 (*.f32 1 (pow.f32 (E.f32) 6931)) 1/10000) (/.f32 1 v))))
(+.f32 (*.f32 -1/2 (*.f32 (pow.f32 (*.f32 1 (pow.f32 (E.f32) 6931)) 1/10000) (/.f32 (log.f32 (E.f32)) (pow.f32 v 2)))) (+.f32 (*.f32 1/4 (*.f32 (pow.f32 (*.f32 1 (pow.f32 (E.f32) 6931)) 1/10000) (/.f32 (pow.f32 (log.f32 (E.f32)) 2) (pow.f32 v 3)))) (*.f32 1/2 (*.f32 (pow.f32 (*.f32 1 (pow.f32 (E.f32) 6931)) 1/10000) (/.f32 1 v)))))
(+.f32 (*.f32 -1/2 (*.f32 (pow.f32 (*.f32 1 (pow.f32 (E.f32) 6931)) 1/10000) (/.f32 (log.f32 (E.f32)) (pow.f32 v 2)))) (+.f32 (*.f32 -1/12 (*.f32 (pow.f32 (*.f32 1 (pow.f32 (E.f32) 6931)) 1/10000) (/.f32 (pow.f32 (log.f32 (E.f32)) 3) (pow.f32 v 4)))) (+.f32 (*.f32 1/4 (*.f32 (pow.f32 (*.f32 1 (pow.f32 (E.f32) 6931)) 1/10000) (/.f32 (pow.f32 (log.f32 (E.f32)) 2) (pow.f32 v 3)))) (*.f32 1/2 (*.f32 (pow.f32 (*.f32 1 (pow.f32 (E.f32) 6931)) 1/10000) (/.f32 1 v))))))
(*.f32 1/2 (*.f32 (pow.f32 (*.f32 1 (pow.f32 (E.f32) 6931)) 1/10000) (/.f32 1 v)))
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(*.f32 (pow.f32 (cbrt.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))))) 2) (cbrt.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))))))
(*.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))))) (sqrt.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))))))
(pow.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))))) 1)
(pow.f32 (cbrt.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))))) 3)
(pow.f32 (pow.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))))) 3) 1/3)
(pow.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))))) 2)
(cbrt.f32 (pow.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))))) 3))
(expm1.f32 (log1p.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))))))
(log1p.f32 (expm1.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))))))
(exp.f32 (log.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))))))
(exp.f32 (*.f32 (log.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))))) 1))
(fma.f32 1 (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))) (log.f32 (/.f32 1/2 v)))
(fma.f32 (pow.f32 (cbrt.f32 (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))))) 2) (cbrt.f32 (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))))) (log.f32 (/.f32 1/2 v)))
(fma.f32 (sqrt.f32 (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))))) (sqrt.f32 (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))))) (log.f32 (/.f32 1/2 v)))
(-.f32 (exp.f32 (log1p.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))))))) 1)
(*.f32 1 (exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))))))
(*.f32 (exp.f32 6931/10000) (exp.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))))
(*.f32 (exp.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))) (exp.f32 6931/10000))
(*.f32 (pow.f32 (cbrt.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))))) 2) (cbrt.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))))))
(*.f32 (sqrt.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))))) (sqrt.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))))))
(/.f32 (pow.f32 (exp.f32 (/.f32 cosTheta_O v)) cosTheta_i) (exp.f32 (-.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)) 6931/10000)))
(pow.f32 (E.f32) (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))))
(pow.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))))) 1)
(pow.f32 (cbrt.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))))) 3)
(pow.f32 (pow.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))))) 3) 1/3)
(pow.f32 (sqrt.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))))) 2)
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))))) 2)) (cbrt.f32 (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))))))
(pow.f32 (exp.f32 (sqrt.f32 (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))))) (sqrt.f32 (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))))))
(log.f32 (exp.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))))))
(log.f32 (+.f32 1 (expm1.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))))))))
(cbrt.f32 (pow.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))))) 3))
(expm1.f32 (log1p.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))))))
(log1p.f32 (expm1.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))))))) 1)
(*.f32 1 (*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))))))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))))))
(*.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))))) (/.f32 1/2 v))
(*.f32 (pow.f32 (cbrt.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))))))) 2) (cbrt.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))))))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))))))) (sqrt.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))))))))
(*.f32 (pow.f32 (E.f32) (/.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))))) 2)) (pow.f32 (E.f32) (/.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))))) 2)))
(*.f32 (pow.f32 1 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))))) (*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))))))
(*.f32 (pow.f32 (cbrt.f32 (exp.f32 2)) (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))))) (pow.f32 (cbrt.f32 (E.f32)) (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))))))
(*.f32 (pow.f32 (sqrt.f32 (E.f32)) (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))))) (pow.f32 (sqrt.f32 (E.f32)) (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))))))
(/.f32 (*.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))))) 1/2) v)
(log.f32 (pow.f32 (exp.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))))) (/.f32 1/2 v)))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))))))))
(cbrt.f32 (pow.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))))) 3))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 1/2 v) 3) (pow.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))))) 3)))
(cbrt.f32 (*.f32 (pow.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 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 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))))))))
(log1p.f32 (expm1.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))))))))
(exp.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))))))
Outputs
(exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 6931/10000 (/.f32 1 v))))
(exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))
(exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 6931/10000 (/.f32 1 v))))
(exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))
(exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 6931/10000 (/.f32 1 v))))
(exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))
(exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 6931/10000 (/.f32 1 v))))
(exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))
(pow.f32 (pow.f32 (E.f32) 6931) 1/10000)
(+.f32 (*.f32 -1 (*.f32 (pow.f32 (*.f32 1 (pow.f32 (E.f32) 6931)) 1/10000) (/.f32 (log.f32 (E.f32)) v))) (pow.f32 (pow.f32 (E.f32) 6931) 1/10000))
(fma.f32 -1 (*.f32 (/.f32 1 v) (pow.f32 (pow.f32 (E.f32) 6931) 1/10000)) (pow.f32 (pow.f32 (E.f32) 6931) 1/10000))
(-.f32 (pow.f32 (pow.f32 (E.f32) 6931) 1/10000) (/.f32 (pow.f32 (pow.f32 (E.f32) 6931) 1/10000) v))
(+.f32 (*.f32 -1 (*.f32 (pow.f32 (*.f32 1 (pow.f32 (E.f32) 6931)) 1/10000) (/.f32 (log.f32 (E.f32)) v))) (+.f32 (*.f32 1/2 (*.f32 (pow.f32 (*.f32 1 (pow.f32 (E.f32) 6931)) 1/10000) (/.f32 (pow.f32 (log.f32 (E.f32)) 2) (pow.f32 v 2)))) (pow.f32 (pow.f32 (E.f32) 6931) 1/10000)))
(fma.f32 -1 (*.f32 (/.f32 1 v) (pow.f32 (pow.f32 (E.f32) 6931) 1/10000)) (fma.f32 1/2 (/.f32 (*.f32 (pow.f32 (pow.f32 (E.f32) 6931) 1/10000) 1) (pow.f32 v 2)) (pow.f32 (pow.f32 (E.f32) 6931) 1/10000)))
(-.f32 (fma.f32 1/2 (/.f32 (pow.f32 (pow.f32 (E.f32) 6931) 1/10000) (pow.f32 v 2)) (pow.f32 (pow.f32 (E.f32) 6931) 1/10000)) (/.f32 (pow.f32 (pow.f32 (E.f32) 6931) 1/10000) v))
(+.f32 (*.f32 -1 (*.f32 (pow.f32 (*.f32 1 (pow.f32 (E.f32) 6931)) 1/10000) (/.f32 (log.f32 (E.f32)) v))) (+.f32 (*.f32 -1/6 (*.f32 (pow.f32 (*.f32 1 (pow.f32 (E.f32) 6931)) 1/10000) (/.f32 (pow.f32 (log.f32 (E.f32)) 3) (pow.f32 v 3)))) (+.f32 (*.f32 1/2 (*.f32 (pow.f32 (*.f32 1 (pow.f32 (E.f32) 6931)) 1/10000) (/.f32 (pow.f32 (log.f32 (E.f32)) 2) (pow.f32 v 2)))) (pow.f32 (pow.f32 (E.f32) 6931) 1/10000))))
(fma.f32 -1 (*.f32 (/.f32 1 v) (pow.f32 (pow.f32 (E.f32) 6931) 1/10000)) (fma.f32 -1/6 (*.f32 (pow.f32 (pow.f32 (E.f32) 6931) 1/10000) (/.f32 1 (pow.f32 v 3))) (fma.f32 1/2 (/.f32 (*.f32 (pow.f32 (pow.f32 (E.f32) 6931) 1/10000) 1) (pow.f32 v 2)) (pow.f32 (pow.f32 (E.f32) 6931) 1/10000))))
(-.f32 (fma.f32 -1/6 (/.f32 (pow.f32 (pow.f32 (E.f32) 6931) 1/10000) (pow.f32 v 3)) (fma.f32 1/2 (/.f32 (pow.f32 (pow.f32 (E.f32) 6931) 1/10000) (pow.f32 v 2)) (pow.f32 (pow.f32 (E.f32) 6931) 1/10000))) (/.f32 (pow.f32 (pow.f32 (E.f32) 6931) 1/10000) v))
(pow.f32 (pow.f32 (E.f32) 6931) 1/10000)
(+.f32 (*.f32 -1 (*.f32 (pow.f32 (*.f32 1 (pow.f32 (E.f32) 6931)) 1/10000) (/.f32 (log.f32 (E.f32)) v))) (pow.f32 (pow.f32 (E.f32) 6931) 1/10000))
(fma.f32 -1 (*.f32 (/.f32 1 v) (pow.f32 (pow.f32 (E.f32) 6931) 1/10000)) (pow.f32 (pow.f32 (E.f32) 6931) 1/10000))
(-.f32 (pow.f32 (pow.f32 (E.f32) 6931) 1/10000) (/.f32 (pow.f32 (pow.f32 (E.f32) 6931) 1/10000) v))
(+.f32 (*.f32 -1 (*.f32 (pow.f32 (*.f32 1 (pow.f32 (E.f32) 6931)) 1/10000) (/.f32 (log.f32 (E.f32)) v))) (+.f32 (*.f32 1/2 (*.f32 (pow.f32 (*.f32 1 (pow.f32 (E.f32) 6931)) 1/10000) (/.f32 (pow.f32 (log.f32 (E.f32)) 2) (pow.f32 v 2)))) (pow.f32 (pow.f32 (E.f32) 6931) 1/10000)))
(fma.f32 -1 (*.f32 (/.f32 1 v) (pow.f32 (pow.f32 (E.f32) 6931) 1/10000)) (fma.f32 1/2 (/.f32 (*.f32 (pow.f32 (pow.f32 (E.f32) 6931) 1/10000) 1) (pow.f32 v 2)) (pow.f32 (pow.f32 (E.f32) 6931) 1/10000)))
(-.f32 (fma.f32 1/2 (/.f32 (pow.f32 (pow.f32 (E.f32) 6931) 1/10000) (pow.f32 v 2)) (pow.f32 (pow.f32 (E.f32) 6931) 1/10000)) (/.f32 (pow.f32 (pow.f32 (E.f32) 6931) 1/10000) v))
(+.f32 (*.f32 -1 (*.f32 (pow.f32 (*.f32 1 (pow.f32 (E.f32) 6931)) 1/10000) (/.f32 (log.f32 (E.f32)) v))) (+.f32 (*.f32 -1/6 (*.f32 (pow.f32 (*.f32 1 (pow.f32 (E.f32) 6931)) 1/10000) (/.f32 (pow.f32 (log.f32 (E.f32)) 3) (pow.f32 v 3)))) (+.f32 (*.f32 1/2 (*.f32 (pow.f32 (*.f32 1 (pow.f32 (E.f32) 6931)) 1/10000) (/.f32 (pow.f32 (log.f32 (E.f32)) 2) (pow.f32 v 2)))) (pow.f32 (pow.f32 (E.f32) 6931) 1/10000))))
(fma.f32 -1 (*.f32 (/.f32 1 v) (pow.f32 (pow.f32 (E.f32) 6931) 1/10000)) (fma.f32 -1/6 (*.f32 (pow.f32 (pow.f32 (E.f32) 6931) 1/10000) (/.f32 1 (pow.f32 v 3))) (fma.f32 1/2 (/.f32 (*.f32 (pow.f32 (pow.f32 (E.f32) 6931) 1/10000) 1) (pow.f32 v 2)) (pow.f32 (pow.f32 (E.f32) 6931) 1/10000))))
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(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) 6931/10000) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))))
(*.f32 (pow.f32 (cbrt.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))))))) 2) (cbrt.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))))))))
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (+.f32 6931/10000 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))))
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) 6931/10000) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))))))) (sqrt.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))))))))
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (+.f32 6931/10000 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))))
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) 6931/10000) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))))
(*.f32 (pow.f32 (E.f32) (/.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))))) 2)) (pow.f32 (E.f32) (/.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))))) 2)))
(pow.f32 (E.f32) (*.f32 2 (/.f32 (+.f32 6931/10000 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) (log.f32 (/.f32 1/2 v)))) 2)))
(pow.f32 (E.f32) (*.f32 2 (/.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (-.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) 6931/10000) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))) 2)))
(*.f32 (pow.f32 1 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))))) (*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))))))
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (+.f32 6931/10000 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))))
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) 6931/10000) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))))
(*.f32 (pow.f32 (cbrt.f32 (exp.f32 2)) (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))))) (pow.f32 (cbrt.f32 (E.f32)) (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))))))
(*.f32 (pow.f32 (cbrt.f32 (exp.f32 2)) (+.f32 6931/10000 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) (log.f32 (/.f32 1/2 v))))) (pow.f32 (cbrt.f32 (E.f32)) (+.f32 6931/10000 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) (log.f32 (/.f32 1/2 v))))))
(*.f32 (pow.f32 (cbrt.f32 (exp.f32 2)) (+.f32 (log.f32 (/.f32 1/2 v)) (-.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) 6931/10000) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))))) (pow.f32 (cbrt.f32 (E.f32)) (+.f32 (log.f32 (/.f32 1/2 v)) (-.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) 6931/10000) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))))))
(*.f32 (pow.f32 (sqrt.f32 (E.f32)) (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))))) (pow.f32 (sqrt.f32 (E.f32)) (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))))))
(pow.f32 (sqrt.f32 (E.f32)) (*.f32 2 (+.f32 6931/10000 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) (log.f32 (/.f32 1/2 v))))))
(pow.f32 (sqrt.f32 (E.f32)) (*.f32 2 (+.f32 (log.f32 (/.f32 1/2 v)) (-.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) 6931/10000) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))))))
(/.f32 (*.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))))) 1/2) v)
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (+.f32 6931/10000 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))))
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) 6931/10000) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))))
(log.f32 (pow.f32 (exp.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))))) (/.f32 1/2 v)))
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (+.f32 6931/10000 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))))
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) 6931/10000) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))))))))
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (+.f32 6931/10000 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))))
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) 6931/10000) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))))
(cbrt.f32 (pow.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))))) 3))
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (+.f32 6931/10000 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))))
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) 6931/10000) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 1/2 v) 3) (pow.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))))) 3)))
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (+.f32 6931/10000 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))))
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) 6931/10000) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))))
(cbrt.f32 (*.f32 (pow.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))))) 3) (pow.f32 (/.f32 1/2 v) 3)))
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (+.f32 6931/10000 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))))
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) 6931/10000) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))))
(expm1.f32 (log1p.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))))))))
(expm1.f32 (log1p.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (+.f32 6931/10000 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))))))
(expm1.f32 (log1p.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) 6931/10000) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))))))
(log1p.f32 (expm1.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))))))))
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (+.f32 6931/10000 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))))
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) 6931/10000) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))))
(exp.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))))))
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (+.f32 6931/10000 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))))
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) 6931/10000) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))))

eval452.0ms (2%)

Compiler

Compiled 20865 to 14265 computations (31.6% saved)

prune263.0ms (1.2%)

Pruning

22 alts after pruning (17 fresh and 5 done)

PrunedKeptTotal
New6589667
Fresh3811
Picked235
Done022
Total66322685
Accuracy
99.9%
Counts
685 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(pow.f32 (*.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))) v)) (log.f32 (E.f32)))
99.5%
(pow.f32 (cbrt.f32 (/.f32 1/2 (/.f32 v (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))))) 3)
99.3%
(pow.f32 (E.f32) (/.f32 (-.f32 (pow.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) 2) (pow.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) 2)) (-.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))))
99.1%
(pow.f32 (E.f32) (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v)))
13.6%
(pow.f32 (E.f32) (*.f32 sinTheta_O (neg.f32 (/.f32 sinTheta_i v))))
98.9%
(/.f32 (*.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) (exp.f32 (/.f32 1 v)))
99.1%
(/.f32 (*.f32 1/2 (pow.f32 (E.f32) (/.f32 (-.f32 48038761/100000000 (pow.f32 v -2)) (+.f32 6931/10000 (/.f32 1 v))))) v)
96.6%
(/.f32 (*.f32 1/2 (pow.f32 (E.f32) (/.f32 -1 v))) v)
99.6%
(/.f32 (*.f32 1/2 (pow.f32 (E.f32) (-.f32 6931/10000 (/.f32 1 v)))) v)
99.7%
(/.f32 (*.f32 1/2 (*.f32 (exp.f32 6931/10000) (pow.f32 (E.f32) (/.f32 -1 v)))) v)
99.4%
(/.f32 (*.f32 1/2 (exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 6931/10000 (/.f32 1 v))))) v)
99.3%
(*.f32 (/.f32 1/2 v) (pow.f32 (E.f32) (-.f32 6931/10000 (/.f32 1 v))))
99.3%
(*.f32 (/.f32 1/2 v) (*.f32 (exp.f32 6931/10000) (pow.f32 (exp.f32 (fma.f32 cosTheta_O cosTheta_i -1)) (/.f32 1 v))))
99.0%
(*.f32 (/.f32 1/2 v) (*.f32 (exp.f32 6931/10000) (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)) 2)) (cbrt.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)))))
99.1%
(*.f32 (/.f32 1/2 v) (*.f32 (exp.f32 6931/10000) (exp.f32 (/.f32 -1 v))))
99.1%
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))
4.7%
(*.f32 (/.f32 1/2 v) (exp.f32 6931/10000))
4.7%
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
4.7%
(*.f32 1/2 (/.f32 1 (/.f32 v (exp.f32 6931/10000))))
99.5%
(*.f32 1/2 (*.f32 (/.f32 (pow.f32 (cbrt.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)))) 2) (sqrt.f32 v)) (/.f32 (cbrt.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)))) (sqrt.f32 v))))
99.6%
(*.f32 1/2 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)) (log.f32 v))))
99.1%
(exp.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (/.f32 -1 v))))
Compiler

Compiled 1211 to 861 computations (28.9% saved)

regimes162.0ms (0.7%)

Counts
45 → 1
Calls
Call 1
Inputs
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 (/.f32 1/2 v) (exp.f32 6931/10000))
(*.f32 1/2 (/.f32 1 (/.f32 v (exp.f32 6931/10000))))
(pow.f32 (E.f32) (*.f32 sinTheta_O (neg.f32 (/.f32 sinTheta_i v))))
(/.f32 (*.f32 1/2 (pow.f32 (E.f32) (/.f32 -1 v))) v)
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))
(*.f32 (/.f32 1/2 v) (pow.f32 (E.f32) (-.f32 6931/10000 (/.f32 1 v))))
(/.f32 (*.f32 1/2 (pow.f32 (E.f32) (-.f32 6931/10000 (/.f32 1 v)))) v)
(*.f32 1/2 (/.f32 (pow.f32 (E.f32) (+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) 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 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 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 v) cosTheta_i) (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (+.f32 (/.f32 -1 v) 6931/10000))))
(exp.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (/.f32 -1 v))))
(*.f32 (/.f32 1/2 v) (*.f32 (exp.f32 6931/10000) (exp.f32 (/.f32 -1 v))))
(/.f32 (*.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) (exp.f32 (/.f32 1 v)))
(/.f32 (*.f32 1/2 (*.f32 (exp.f32 6931/10000) (pow.f32 (E.f32) (/.f32 -1 v)))) v)
(pow.f32 (E.f32) (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v)))
(*.f32 (/.f32 1/2 v) (exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 6931/10000 (/.f32 1 v)))))
(/.f32 (*.f32 1/2 (exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 6931/10000 (/.f32 1 v))))) v)
(exp.f32 (+.f32 (+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v)) (log.f32 (/.f32 1/2 v))))
(*.f32 (/.f32 1/2 v) (*.f32 (exp.f32 6931/10000) (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 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)))
(/.f32 (*.f32 1/2 (pow.f32 (E.f32) (/.f32 (-.f32 48038761/100000000 (pow.f32 v -2)) (+.f32 6931/10000 (/.f32 1 v))))) v)
(*.f32 (/.f32 1/2 v) (pow.f32 (E.f32) (*.f32 (*.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)) 3) 1/3)))
(pow.f32 (E.f32) (-.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 (/.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)))))
(*.f32 (/.f32 1/2 v) (exp.f32 (/.f32 (-.f32 (*.f32 (-.f32 48038761/100000000 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) 2)) v) (*.f32 (-.f32 6931/10000 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) 1)) (*.f32 (-.f32 6931/10000 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) v))))
(pow.f32 (cbrt.f32 (/.f32 1/2 (/.f32 v (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))))) 3)
(*.f32 1/2 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)) (log.f32 v))))
(/.f32 (*.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))
(*.f32 (/.f32 1/2 v) (pow.f32 (cbrt.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v)))) 3))
(pow.f32 (cbrt.f32 (*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v))) (/.f32 1/2 v))) 3)
(*.f32 (/.f32 1/2 v) (pow.f32 (pow.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v))) 3) 1/3))
(pow.f32 (*.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))) v)) (log.f32 (E.f32)))
(*.f32 (*.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) (exp.f32 (-.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v)))))
(pow.f32 (E.f32) (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
(*.f32 (/.f32 1/2 v) (*.f32 (exp.f32 6931/10000) (pow.f32 (exp.f32 (fma.f32 cosTheta_O cosTheta_i -1)) (/.f32 1 v))))
(pow.f32 (E.f32) (log.f32 (*.f32 (exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) 6931/10000)) (/.f32 1/2 v))))
(pow.f32 (cbrt.f32 (*.f32 (exp.f32 (+.f32 (-.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) 6931/10000)) (/.f32 1/2 v))) 3)
(pow.f32 (pow.f32 (*.f32 (exp.f32 (+.f32 (-.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) 6931/10000)) (/.f32 1/2 v)) 3) 1/3)
(pow.f32 (E.f32) (/.f32 (-.f32 (pow.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) 2) (pow.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) 2)) (-.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))))
(*.f32 (/.f32 1/2 v) (*.f32 (exp.f32 6931/10000) (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)) 2)) (cbrt.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)))))
(*.f32 1/2 (*.f32 (/.f32 (pow.f32 (cbrt.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)))) 2) (sqrt.f32 v)) (/.f32 (cbrt.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)))) (sqrt.f32 v))))
Outputs
(/.f32 (*.f32 1/2 (*.f32 (exp.f32 6931/10000) (pow.f32 (E.f32) (/.f32 -1 v)))) v)
Calls

9 calls:

22.0ms
cosTheta_O
22.0ms
sinTheta_O
21.0ms
v
21.0ms
sinTheta_i
21.0ms
cosTheta_i
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)

regimes51.0ms (0.2%)

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

5 calls:

11.0ms
sinTheta_O
11.0ms
sinTheta_i
10.0ms
cosTheta_i
9.0ms
cosTheta_O
8.0ms
v
Results
AccuracySegmentsBranch
99.6%1cosTheta_i
99.6%1cosTheta_O
99.6%1sinTheta_i
99.6%1sinTheta_O
99.6%1v
Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes34.0ms (0.2%)

Counts
7 → 1
Calls
Call 1
Inputs
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 (/.f32 1/2 v) (exp.f32 6931/10000))
(*.f32 1/2 (/.f32 1 (/.f32 v (exp.f32 6931/10000))))
(pow.f32 (E.f32) (*.f32 sinTheta_O (neg.f32 (/.f32 sinTheta_i v))))
(/.f32 (*.f32 1/2 (pow.f32 (E.f32) (/.f32 -1 v))) v)
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))
(*.f32 (/.f32 1/2 v) (pow.f32 (E.f32) (-.f32 6931/10000 (/.f32 1 v))))
Outputs
(*.f32 (/.f32 1/2 v) (pow.f32 (E.f32) (-.f32 6931/10000 (/.f32 1 v))))
Calls

5 calls:

9.0ms
sinTheta_i
7.0ms
v
6.0ms
cosTheta_i
6.0ms
sinTheta_O
5.0ms
cosTheta_O
Results
AccuracySegmentsBranch
99.3%1cosTheta_i
99.3%1cosTheta_O
99.3%1sinTheta_i
99.3%1sinTheta_O
99.3%1v
Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes27.0ms (0.1%)

Counts
6 → 1
Calls
Call 1
Inputs
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 (/.f32 1/2 v) (exp.f32 6931/10000))
(*.f32 1/2 (/.f32 1 (/.f32 v (exp.f32 6931/10000))))
(pow.f32 (E.f32) (*.f32 sinTheta_O (neg.f32 (/.f32 sinTheta_i v))))
(/.f32 (*.f32 1/2 (pow.f32 (E.f32) (/.f32 -1 v))) v)
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))
Outputs
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))
Calls

5 calls:

6.0ms
sinTheta_O
6.0ms
cosTheta_O
5.0ms
sinTheta_i
5.0ms
cosTheta_i
5.0ms
v
Results
AccuracySegmentsBranch
99.1%1cosTheta_i
99.1%1cosTheta_O
99.1%1sinTheta_i
99.1%1sinTheta_O
99.1%1v
Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes26.0ms (0.1%)

Counts
5 → 1
Calls
Call 1
Inputs
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 (/.f32 1/2 v) (exp.f32 6931/10000))
(*.f32 1/2 (/.f32 1 (/.f32 v (exp.f32 6931/10000))))
(pow.f32 (E.f32) (*.f32 sinTheta_O (neg.f32 (/.f32 sinTheta_i v))))
(/.f32 (*.f32 1/2 (pow.f32 (E.f32) (/.f32 -1 v))) v)
Outputs
(/.f32 (*.f32 1/2 (pow.f32 (E.f32) (/.f32 -1 v))) v)
Calls

5 calls:

6.0ms
sinTheta_i
5.0ms
v
5.0ms
cosTheta_i
5.0ms
sinTheta_O
5.0ms
cosTheta_O
Results
AccuracySegmentsBranch
96.6%1cosTheta_O
96.6%1v
96.6%1cosTheta_i
96.6%1sinTheta_i
96.6%1sinTheta_O
Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes22.0ms (0.1%)

Counts
4 → 1
Calls
Call 1
Inputs
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 (/.f32 1/2 v) (exp.f32 6931/10000))
(*.f32 1/2 (/.f32 1 (/.f32 v (exp.f32 6931/10000))))
(pow.f32 (E.f32) (*.f32 sinTheta_O (neg.f32 (/.f32 sinTheta_i v))))
Outputs
(pow.f32 (E.f32) (*.f32 sinTheta_O (neg.f32 (/.f32 sinTheta_i v))))
Calls

5 calls:

5.0ms
v
5.0ms
cosTheta_O
4.0ms
sinTheta_O
4.0ms
cosTheta_i
4.0ms
sinTheta_i
Results
AccuracySegmentsBranch
13.6%1cosTheta_i
13.6%1cosTheta_O
13.6%1sinTheta_i
13.6%1sinTheta_O
13.6%1v
Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes21.0ms (0.1%)

Counts
3 → 1
Calls
Call 1
Inputs
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 (/.f32 1/2 v) (exp.f32 6931/10000))
(*.f32 1/2 (/.f32 1 (/.f32 v (exp.f32 6931/10000))))
Outputs
(*.f32 (/.f32 1/2 v) (exp.f32 6931/10000))
Calls

5 calls:

5.0ms
sinTheta_O
4.0ms
v
4.0ms
cosTheta_O
4.0ms
cosTheta_i
4.0ms
sinTheta_i
Results
AccuracySegmentsBranch
4.7%1v
4.7%1cosTheta_i
4.7%1cosTheta_O
4.7%1sinTheta_O
4.7%1sinTheta_i
Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes14.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
Outputs
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
Calls

5 calls:

3.0ms
cosTheta_i
3.0ms
cosTheta_O
3.0ms
v
3.0ms
sinTheta_i
3.0ms
sinTheta_O
Results
AccuracySegmentsBranch
4.7%1v
4.7%1cosTheta_i
4.7%1sinTheta_O
4.7%1sinTheta_i
4.7%1cosTheta_O
Compiler

Compiled 30 to 25 computations (16.7% saved)

simplify9.0ms (0%)

Algorithm
egg-herbie
Rules
16×*-commutative
sub-neg
neg-mul-1
+-commutative
neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039263
162263
277263
389263
498263
599263
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(/.f32 (*.f32 1/2 (*.f32 (exp.f32 6931/10000) (pow.f32 (E.f32) (/.f32 -1 v)))) v)
(/.f32 (*.f32 1/2 (pow.f32 (E.f32) (-.f32 6931/10000 (/.f32 1 v)))) v)
(*.f32 (/.f32 1/2 v) (pow.f32 (E.f32) (-.f32 6931/10000 (/.f32 1 v))))
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))
(/.f32 (*.f32 1/2 (pow.f32 (E.f32) (/.f32 -1 v))) v)
(pow.f32 (E.f32) (*.f32 sinTheta_O (neg.f32 (/.f32 sinTheta_i v))))
(*.f32 (/.f32 1/2 v) (exp.f32 6931/10000))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
Outputs
(/.f32 (*.f32 1/2 (*.f32 (exp.f32 6931/10000) (pow.f32 (E.f32) (/.f32 -1 v)))) v)
(/.f32 (*.f32 1/2 (pow.f32 (E.f32) (-.f32 6931/10000 (/.f32 1 v)))) v)
(/.f32 (*.f32 1/2 (pow.f32 (E.f32) (+.f32 6931/10000 (/.f32 -1 v)))) v)
(*.f32 (/.f32 1/2 v) (pow.f32 (E.f32) (-.f32 6931/10000 (/.f32 1 v))))
(*.f32 (pow.f32 (E.f32) (-.f32 6931/10000 (/.f32 1 v))) (/.f32 1/2 v))
(*.f32 (pow.f32 (E.f32) (+.f32 6931/10000 (/.f32 -1 v))) (/.f32 1/2 v))
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))))
(/.f32 (*.f32 1/2 (pow.f32 (E.f32) (/.f32 -1 v))) v)
(pow.f32 (E.f32) (*.f32 sinTheta_O (neg.f32 (/.f32 sinTheta_i v))))
(pow.f32 (E.f32) (*.f32 sinTheta_O (/.f32 (neg.f32 sinTheta_i) v)))
(*.f32 (/.f32 1/2 v) (exp.f32 6931/10000))
(*.f32 (exp.f32 6931/10000) (/.f32 1/2 v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
Compiler

Compiled 113 to 98 computations (13.3% saved)

soundness2.9s (13.1%)

Rules
844×fma-neg
844×fma-neg
749×fma-define
700×associate-*l*
700×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01732130
14852026
214221870
363271870
043685
1731629
092848946
1273345134
050564
1861548
0116842808
1361339530
01732130
14852026
214221870
363271870
059734237
1164332487
2690432487
038358
1652350
059734237
1164332487
2690432487
0119952674
1358249511
092848946
1273345134
Stop Event
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 1257 to 760 computations (39.5% saved)

end0.0ms (0%)

preprocess98.0ms (0.4%)

Remove

(sort sinTheta_i sinTheta_O)

(sort cosTheta_i cosTheta_O)

Compiler

Compiled 828 to 702 computations (15.2% saved)

Profiling

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