HairBSDF, Mp, lower

Time bar (total: 13.2s)

analyze672.0ms (5.1%)

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

Compiled 69 to 51 computations (26.1% saved)

sample3.0s (22.7%)

Results
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Bogosity

preprocess631.0ms (4.8%)

Algorithm
egg-herbie
Rules
450×fma-neg
366×associate-+l-
333×fma-define
320×associate-+l+
291×associate-+r-
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
985(-1.944458321443767e-31 8.327550860985991e-19 1.2181413281557026e-38 5.507244412984559e-35 4.41849188064225e-5)33(1.9695104790890106e-33 2.7088116905799042e-12 3.213009050661355e-16 0.0009114666609093547 4.919773372767696e-30)(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
901(6.21047702070178e-35 4.761215830594093e-27 2.010194350050407e-35 4.461042497815927e-22 1.2783466125931842e-11)32(-4.114817711963279e-20 -5.589414163078005e-26 -1.8634828055641428e-11 7.897763038142994e-33 1.4998195773801528e-25)(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
24(1.0011315288903906e-33 8.784029818624528e-15 -1.9519064252539442e-26 -6.045460549761497e-33 0.003076438559219241)2(-0.008900436572730541 -8.925221095523739e-7 -3.0147607500696783e-12 3.5617652254613256e-38 0.010921403765678406)(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
14921898
215301854
366481854
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 cosTheta_O v)) (+.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (+.f32 6931/10000 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))) 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 cosTheta_O v)) (+.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (+.f32 6931/10000 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))) 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 (neg.f32 cosTheta_O) v)) (+.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 1 v))))))
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (+.f32 6931/10000 (*.f32 (neg.f32 cosTheta_i) (/.f32 cosTheta_O v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))))
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (-.f32 6931/10000 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 -1 v) (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (*.f32 sinTheta_i (/.f32 sinTheta_O 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 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 (neg.f32 cosTheta_O) v)) (+.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 1 v))))))
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (+.f32 6931/10000 (*.f32 (neg.f32 cosTheta_i) (/.f32 cosTheta_O v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))))
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (-.f32 6931/10000 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 -1 v) (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (*.f32 sinTheta_i (/.f32 sinTheta_O 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 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (-.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (*.f32 sinTheta_i (/.f32 (neg.f32 sinTheta_O) v))) (/.f32 1 v)))))
(*.f32 (exp.f32 (+.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (*.f32 sinTheta_i (/.f32 sinTheta_O v))) (+.f32 (/.f32 -1 v) 6931/10000))) (/.f32 1/2 v))
(*.f32 (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (+.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 cosTheta_O v)) (*.f32 sinTheta_i (/.f32 (neg.f32 sinTheta_O) v))) (/.f32 1 v)))))
(*.f32 (exp.f32 (+.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (*.f32 sinTheta_i (/.f32 sinTheta_O v))) (+.f32 (/.f32 -1 v) 6931/10000))) (/.f32 1/2 v))
(*.f32 (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (+.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 cosTheta_O (neg.f32 v))) (+.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v))) (/.f32 1 (neg.f32 v)))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 (neg.f32 v))))))
(*.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (/.f32 1 v) (fma.f32 cosTheta_i (/.f32 cosTheta_O (neg.f32 v)) (*.f32 sinTheta_i (/.f32 sinTheta_O v)))))) (/.f32 -1/2 v))
(*.f32 (exp.f32 (+.f32 (-.f32 6931/10000 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))) (/.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 (neg.f32 cosTheta_O) v)) (+.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 1 v)))))))
(*.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (*.f32 (neg.f32 cosTheta_i) (/.f32 cosTheta_O v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))) (/.f32 -1/2 v))
(*.f32 (exp.f32 (-.f32 (-.f32 6931/10000 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))) (/.f32 -1/2 v))
(*.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 -1 v) (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (*.f32 sinTheta_i (/.f32 sinTheta_O v)))))) (/.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 (neg.f32 cosTheta_O) v)) (+.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 1 v)))))))
(*.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (*.f32 (neg.f32 cosTheta_i) (/.f32 cosTheta_O v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))) (/.f32 -1/2 v))
(*.f32 (exp.f32 (-.f32 (-.f32 6931/10000 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))) (/.f32 -1/2 v))
(*.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 -1 v) (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (*.f32 sinTheta_i (/.f32 sinTheta_O v)))))) (/.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 cosTheta_O v)) (*.f32 sinTheta_i (/.f32 (neg.f32 sinTheta_O) v))) (/.f32 1 v))))))
(*.f32 (exp.f32 (+.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (*.f32 sinTheta_i (/.f32 sinTheta_O v))) (+.f32 (/.f32 -1 v) 6931/10000))) (/.f32 -1/2 v))
(*.f32 (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (+.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 cosTheta_O v)) (*.f32 sinTheta_i (/.f32 (neg.f32 sinTheta_O) v))) (/.f32 1 v))))))
(*.f32 (exp.f32 (+.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (*.f32 sinTheta_i (/.f32 sinTheta_O v))) (+.f32 (/.f32 -1 v) 6931/10000))) (/.f32 -1/2 v))
(*.f32 (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (+.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 cosTheta_O (neg.f32 v))) (+.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v))) (/.f32 1 (neg.f32 v)))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 (neg.f32 v)))))))
(*.f32 (exp.f32 (+.f32 6931/10000 (+.f32 (/.f32 1 v) (fma.f32 cosTheta_i (/.f32 cosTheta_O (neg.f32 v)) (*.f32 sinTheta_i (/.f32 sinTheta_O v)))))) (neg.f32 (/.f32 -1/2 v)))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (-.f32 6931/10000 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 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 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (+.f32 6931/10000 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))) 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 cosTheta_O v)) (+.f32 (*.f32 cosTheta_i (/.f32 sinTheta_O v)) (/.f32 1 v))))))
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (*.f32 cosTheta_O (/.f32 sinTheta_i v)) (-.f32 (fma.f32 cosTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) 6931/10000))))
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (*.f32 cosTheta_O (/.f32 sinTheta_i v)) (+.f32 (fma.f32 cosTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000))))
(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 sinTheta_O v)) (+.f32 (*.f32 sinTheta_i (/.f32 cosTheta_i v)) (/.f32 1 v))))))
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (*.f32 cosTheta_O (/.f32 sinTheta_O v)) (-.f32 (fma.f32 cosTheta_i (/.f32 sinTheta_i v) (/.f32 1 v)) 6931/10000))))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_O (/.f32 sinTheta_O v)) (fma.f32 cosTheta_i (/.f32 sinTheta_i v) (/.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 cosTheta_O v) cosTheta_i) (+.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O cosTheta_i)) (/.f32 1 cosTheta_i))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 cosTheta_i)))))
(*.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_O (/.f32 v cosTheta_i)) (fma.f32 sinTheta_i (/.f32 sinTheta_O cosTheta_i) (/.f32 1 cosTheta_i))))) (/.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 sinTheta_i (/.f32 cosTheta_i v)) (+.f32 (*.f32 cosTheta_O (/.f32 sinTheta_O v)) (/.f32 1 v))))))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 sinTheta_i (/.f32 cosTheta_i v)) (fma.f32 cosTheta_O (/.f32 sinTheta_O v) (/.f32 1 v))))))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 sinTheta_i v)) (fma.f32 cosTheta_O (/.f32 sinTheta_O v) (/.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 cosTheta_i (/.f32 sinTheta_O v)) (+.f32 (*.f32 sinTheta_i (/.f32 cosTheta_O v)) (/.f32 1 v))))))
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (*.f32 cosTheta_i (/.f32 sinTheta_O v)) (-.f32 (fma.f32 sinTheta_i (/.f32 cosTheta_O v) (/.f32 1 v)) 6931/10000))))
(*.f32 (/.f32 1/2 v) (exp.f32 (fma.f32 cosTheta_i (/.f32 sinTheta_O v) (fma.f32 sinTheta_i (/.f32 cosTheta_O (neg.f32 v)) (+.f32 6931/10000 (/.f32 -1 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 cosTheta_i (/.f32 v cosTheta_O)) (+.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O cosTheta_O)) (/.f32 1 cosTheta_O))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 cosTheta_O)))))
(*.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 v cosTheta_O)) (fma.f32 sinTheta_i (/.f32 sinTheta_O cosTheta_O) (/.f32 1 cosTheta_O))))) (/.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 cosTheta_O v)) (+.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (+.f32 6931/10000 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))) 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 (*.f32 cosTheta_i cosTheta_O) sinTheta_i) (+.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 6931/10000 (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i sinTheta_i)) (fma.f32 v (/.f32 sinTheta_O sinTheta_i) (/.f32 1 sinTheta_i))))) (/.f32 1/2 sinTheta_i))
(*.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (*.f32 cosTheta_i (/.f32 cosTheta_O sinTheta_i))) (fma.f32 v (/.f32 sinTheta_O sinTheta_i) (/.f32 1 sinTheta_i)))) (/.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 cosTheta_O sinTheta_O)) (+.f32 (*.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 1 sinTheta_O))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 sinTheta_O)))))
(*.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O sinTheta_O)) (fma.f32 sinTheta_i (/.f32 v sinTheta_O) (/.f32 1 sinTheta_O))))) (/.f32 1/2 sinTheta_O))
(*.f32 (exp.f32 (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i sinTheta_O)) (fma.f32 v (/.f32 sinTheta_i sinTheta_O) (+.f32 (/.f32 1 sinTheta_O) -6931/10000)))) (/.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 70 to 40 computations (42.9% saved)

prune2.0ms (0%)

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

Compiled 54 to 38 computations (29.6% saved)

localize423.0ms (3.2%)

Localize:

Found 8 expressions with local error:

NewAccuracyProgram
99.8%
(exp.f32 (-.f32 (+.f32 6931/10000 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))
99.7%
(+.f32 6931/10000 (*.f32 cosTheta_i (/.f32 cosTheta_O v)))
99.5%
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (+.f32 6931/10000 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))))
99.3%
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
99.8%
(exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
99.6%
(log.f32 (/.f32 1/2 v))
99.4%
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
99.3%
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
Compiler

Compiled 209 to 88 computations (57.9% saved)

series152.0ms (1.2%)

Counts
8 → 336
Calls

84 calls:

TimeVariablePointExpression
28.0ms
v
@0
(log.f32 (/.f32 1/2 v))
20.0ms
v
@-inf
(log.f32 (/.f32 1/2 v))
9.0ms
v
@inf
(log.f32 (/.f32 1/2 v))
6.0ms
v
@-inf
(exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
3.0ms
v
@-inf
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (+.f32 6931/10000 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))))

rewrite224.0ms (1.7%)

Algorithm
batch-egg-rewrite
Rules
243×log1p-expm1-u
243×expm1-log1p-u
239×add-exp-log
238×add-log-exp
238×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
035356
1532329
Stop Event
node limit
Counts
8 → 253
Calls
Call 1
Inputs
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
(log.f32 (/.f32 1/2 v))
(exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (+.f32 6931/10000 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))))
(+.f32 6931/10000 (*.f32 cosTheta_i (/.f32 cosTheta_O v)))
(exp.f32 (-.f32 (+.f32 6931/10000 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))
Outputs
(-.f32 (exp.f32 (log1p.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)))) 1)
(/.f32 cosTheta_i (/.f32 v cosTheta_O))
(/.f32 1 (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (neg.f32 (*.f32 cosTheta_i cosTheta_O)) (neg.f32 v))
(/.f32 (*.f32 cosTheta_i 1) (/.f32 v cosTheta_O))
(/.f32 (*.f32 cosTheta_i (neg.f32 cosTheta_O)) (neg.f32 v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 (neg.f32 cosTheta_O) cosTheta_i) (neg.f32 v))
(/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) 1) v)
(/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (pow.f32 (cbrt.f32 v) 2)) (cbrt.f32 v))
(/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (sqrt.f32 v)) (sqrt.f32 v))
(pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) 1)
(pow.f32 (cbrt.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) 3)
(pow.f32 (sqrt.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) 2)
(pow.f32 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) 3) 1/3)
(sqrt.f32 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) 2))
(log.f32 (pow.f32 (exp.f32 cosTheta_i) (/.f32 cosTheta_O v)))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)))))
(cbrt.f32 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) 3))
(expm1.f32 (log1p.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v))))
(log1p.f32 (expm1.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v))))
(exp.f32 (log.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v))))
(exp.f32 (*.f32 (log.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) 1))
(-.f32 (exp.f32 (log1p.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)))) 1)
(/.f32 sinTheta_i (/.f32 v sinTheta_O))
(/.f32 1 (/.f32 v (*.f32 sinTheta_i sinTheta_O)))
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(/.f32 (neg.f32 (*.f32 sinTheta_i sinTheta_O)) (neg.f32 v))
(/.f32 (*.f32 sinTheta_i 1) (/.f32 v sinTheta_O))
(/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) (neg.f32 v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) (neg.f32 v))
(/.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) 1) v)
(/.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (pow.f32 (cbrt.f32 v) 2)) (cbrt.f32 v))
(/.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (sqrt.f32 v)) (sqrt.f32 v))
(pow.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) 1)
(pow.f32 (cbrt.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v))) 3)
(pow.f32 (pow.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) 3) 1/3)
(pow.f32 (sqrt.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v))) 2)
(sqrt.f32 (pow.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) 2))
(log.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)))))
(cbrt.f32 (pow.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) 3))
(expm1.f32 (log1p.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v))))
(log1p.f32 (expm1.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v))))
(exp.f32 (log.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v))))
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(/.f32 (*.f32 1/2 (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v))))) v)
(/.f32 (*.f32 1/2 (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) 6931/10000))) (*.f32 v (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))))
(/.f32 (*.f32 -1/2 (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) 6931/10000))) (*.f32 (neg.f32 v) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))))
(/.f32 (*.f32 (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) 6931/10000)) 1/2) (*.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))) v))
(/.f32 (*.f32 (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) 6931/10000)) 1) (*.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))) (*.f32 v 2)))
(/.f32 (*.f32 (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) 6931/10000)) -1/2) (*.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))) (neg.f32 v)))
(/.f32 (neg.f32 (*.f32 1/2 (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)))))) (neg.f32 v))
(/.f32 (*.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)))) 1/2) v)
(/.f32 (*.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)))) 1) (*.f32 v 2))
(/.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) 6931/10000))) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))
(/.f32 (*.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)))) -1/2) (neg.f32 v))
(/.f32 (*.f32 -1/2 (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v))))) (neg.f32 v))
(/.f32 (*.f32 (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) 6931/10000)) (/.f32 1/2 v)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))
(/.f32 (/.f32 (*.f32 1/2 (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v))))) 1) v)
(/.f32 (/.f32 (*.f32 1/2 (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v))))) (pow.f32 (cbrt.f32 v) 2)) (cbrt.f32 v))
(/.f32 (/.f32 (*.f32 1/2 (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v))))) (sqrt.f32 v)) (sqrt.f32 v))
(pow.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v))))) 1)
(pow.f32 (cbrt.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)))))) 3)
(pow.f32 (pow.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v))))) 3) 1/3)
(pow.f32 (sqrt.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)))))) 2)
(pow.f32 (exp.f32 1) (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v))))) 2)) (cbrt.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v))))))
(pow.f32 (exp.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)))))) (sqrt.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v))))))
(sqrt.f32 (pow.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v))))) 2))
(log.f32 (pow.f32 (exp.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.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 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v))))))))
(cbrt.f32 (pow.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v))))) 3))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 1/2 v) 3) (pow.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)))) 3)))
(cbrt.f32 (*.f32 (pow.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.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 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)))))))
(log1p.f32 (expm1.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)))))))
(exp.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)))))
(exp.f32 (*.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)))) 1))
(-.f32 (exp.f32 (log1p.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) 6931/10000))) 1)
(-.f32 (/.f32 48038761/100000000 (-.f32 6931/10000 (*.f32 cosTheta_i (/.f32 cosTheta_O v)))) (/.f32 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) 2) (-.f32 6931/10000 (*.f32 cosTheta_i (/.f32 cosTheta_O v)))))
(*.f32 1 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) 6931/10000))
(*.f32 (cbrt.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) 6931/10000)) (pow.f32 (cbrt.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) 6931/10000)) 2))
(*.f32 (pow.f32 (cbrt.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) 6931/10000)) 2) (cbrt.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) 6931/10000)))
(*.f32 (sqrt.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) 6931/10000)) (sqrt.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) 6931/10000)))
(*.f32 (+.f32 332956652491/1000000000000 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) 3)) (/.f32 1 (+.f32 48038761/100000000 (*.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) 6931/10000)))))
(*.f32 (-.f32 48038761/100000000 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) 2)) (/.f32 1 (-.f32 6931/10000 (*.f32 cosTheta_i (/.f32 cosTheta_O v)))))
(/.f32 1 (/.f32 (+.f32 48038761/100000000 (*.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) 6931/10000))) (+.f32 332956652491/1000000000000 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) 3))))
(/.f32 1 (/.f32 (-.f32 6931/10000 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (-.f32 48038761/100000000 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) 2))))
(/.f32 (+.f32 332956652491/1000000000000 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) 3)) (+.f32 48038761/100000000 (*.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) 6931/10000))))
(/.f32 (-.f32 48038761/100000000 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) 2)) (-.f32 6931/10000 (*.f32 cosTheta_i (/.f32 cosTheta_O v))))
(/.f32 (neg.f32 (+.f32 332956652491/1000000000000 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) 3))) (neg.f32 (+.f32 48038761/100000000 (*.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) 6931/10000)))))
(/.f32 (neg.f32 (-.f32 48038761/100000000 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) 2))) (neg.f32 (-.f32 6931/10000 (*.f32 cosTheta_i (/.f32 cosTheta_O v)))))
(/.f32 (+.f32 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) 3) 332956652491/1000000000000) (+.f32 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) 2) (-.f32 48038761/100000000 (*.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) 6931/10000))))
(/.f32 (-.f32 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) 2) 48038761/100000000) (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) 6931/10000))
(pow.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) 6931/10000) 1)
(pow.f32 (cbrt.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) 6931/10000)) 3)
(pow.f32 (pow.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) 6931/10000) 3) 1/3)
(pow.f32 (sqrt.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) 6931/10000)) 2)
(sqrt.f32 (pow.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) 6931/10000) 2))
(log.f32 (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) 6931/10000)))
(log.f32 (+.f32 1 (expm1.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) 6931/10000))))
(cbrt.f32 (pow.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) 6931/10000) 3))
(expm1.f32 (log1p.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) 6931/10000)))
(log1p.f32 (expm1.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) 6931/10000)))
(exp.f32 (log.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) 6931/10000)))
(exp.f32 (*.f32 (log.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) 6931/10000)) 1))
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) 6931/10000)
(fma.f32 (/.f32 cosTheta_O v) cosTheta_i 6931/10000)
(fma.f32 1 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) 6931/10000)
(fma.f32 (pow.f32 (cbrt.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) 2) (cbrt.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) 6931/10000)
(fma.f32 (sqrt.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (sqrt.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) 6931/10000)
(-.f32 (exp.f32 (log1p.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)))))) 1)
(*.f32 1 (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)))))
(*.f32 (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) 6931/10000)) (/.f32 1 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))))
(*.f32 (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) 6931/10000)) (exp.f32 (neg.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))))
(*.f32 (cbrt.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v))))) (pow.f32 (cbrt.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v))))) 2))
(*.f32 (pow.f32 (cbrt.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v))))) 2) (cbrt.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v))))))
(*.f32 (sqrt.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v))))) (sqrt.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v))))))
(*.f32 (exp.f32 6931/10000) (exp.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v))))
(/.f32 1 (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))) (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) 6931/10000))))
(/.f32 (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) 6931/10000)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))
(/.f32 (neg.f32 (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) 6931/10000))) (neg.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))))
(pow.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)))) 1)
(pow.f32 (cbrt.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v))))) 3)
(pow.f32 (pow.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)))) 3) 1/3)
(pow.f32 (sqrt.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v))))) 2)
(pow.f32 (exp.f32 1) (+.f32 6931/10000 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (+.f32 6931/10000 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)))) 2)) (cbrt.f32 (+.f32 6931/10000 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)))))
(pow.f32 (exp.f32 (sqrt.f32 (+.f32 6931/10000 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v))))) (sqrt.f32 (+.f32 6931/10000 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)))))
(sqrt.f32 (pow.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)))) 2))
(log.f32 (exp.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v))))))
(log.f32 (+.f32 1 (expm1.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)))))))
(cbrt.f32 (pow.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)))) 3))
(expm1.f32 (log1p.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v))))))
(log1p.f32 (expm1.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v))))))

simplify457.0ms (3.5%)

Algorithm
egg-herbie
Rules
791×fma-neg
527×associate-*r*
487×associate-*l*
403×times-frac
320×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
066739584
1180737486
2773437486
Stop Event
node limit
Counts
589 → 399
Calls
Call 1
Inputs
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
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(*.f32 (sqrt.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v))))) (sqrt.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v))))))
(*.f32 (exp.f32 6931/10000) (exp.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v))))
(/.f32 1 (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))) (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) 6931/10000))))
(/.f32 (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) 6931/10000)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))
(/.f32 (neg.f32 (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) 6931/10000))) (neg.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))))
(pow.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)))) 1)
(pow.f32 (cbrt.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v))))) 3)
(pow.f32 (pow.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)))) 3) 1/3)
(pow.f32 (sqrt.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v))))) 2)
(pow.f32 (exp.f32 1) (+.f32 6931/10000 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (+.f32 6931/10000 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)))) 2)) (cbrt.f32 (+.f32 6931/10000 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)))))
(pow.f32 (exp.f32 (sqrt.f32 (+.f32 6931/10000 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v))))) (sqrt.f32 (+.f32 6931/10000 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)))))
(sqrt.f32 (pow.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)))) 2))
(log.f32 (exp.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v))))))
(log.f32 (+.f32 1 (expm1.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)))))))
(cbrt.f32 (pow.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)))) 3))
(expm1.f32 (log1p.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v))))))
(log1p.f32 (expm1.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v))))))
Outputs
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(+.f32 (log.f32 1/2) (*.f32 -1 (log.f32 v)))
(log.f32 (/.f32 1/2 v))
(+.f32 (log.f32 1/2) (*.f32 -1 (log.f32 v)))
(log.f32 (/.f32 1/2 v))
(+.f32 (log.f32 1/2) (*.f32 -1 (log.f32 v)))
(log.f32 (/.f32 1/2 v))
(+.f32 (log.f32 1/2) (*.f32 -1 (log.f32 v)))
(log.f32 (/.f32 1/2 v))
(+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v)))
(log.f32 (/.f32 1/2 v))
(+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v)))
(log.f32 (/.f32 1/2 v))
(+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v)))
(log.f32 (/.f32 1/2 v))
(+.f32 (log.f32 1/2) (log.f32 (/.f32 1 v)))
(log.f32 (/.f32 1/2 v))
(+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v)))
(+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v)))
(+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v)))
(+.f32 (log.f32 -1/2) (log.f32 (/.f32 -1 v)))
(exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))
(*.f32 (exp.f32 6931/10000) (/.f32 (/.f32 1/2 v) (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 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))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))) (*.f32 cosTheta_O (/.f32 (*.f32 cosTheta_i (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))) v)))
(fma.f32 cosTheta_O (*.f32 cosTheta_i (/.f32 (*.f32 (exp.f32 6931/10000) (/.f32 (/.f32 1/2 v) (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))) v)) (*.f32 (exp.f32 6931/10000) (/.f32 (/.f32 1/2 v) (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 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))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))) (fma.f32 1/2 (*.f32 (pow.f32 cosTheta_O 2) (/.f32 (*.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))) (pow.f32 cosTheta_i 2)) (pow.f32 v 2))) (*.f32 cosTheta_O (/.f32 (*.f32 cosTheta_i (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))) v))))
(+.f32 (*.f32 (exp.f32 6931/10000) (/.f32 (/.f32 1/2 v) (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))) (fma.f32 1/2 (/.f32 (/.f32 (*.f32 (*.f32 (pow.f32 cosTheta_O 2) (pow.f32 cosTheta_i 2)) (*.f32 (/.f32 1/2 v) (exp.f32 6931/10000))) (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))) (pow.f32 v 2)) (*.f32 (/.f32 (*.f32 cosTheta_i (*.f32 (/.f32 1/2 v) (exp.f32 6931/10000))) (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))) (/.f32 cosTheta_O 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))))
(+.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))) (fma.f32 1/6 (*.f32 (pow.f32 cosTheta_O 3) (/.f32 (*.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))) (pow.f32 cosTheta_i 3)) (pow.f32 v 3))) (fma.f32 1/2 (*.f32 (pow.f32 cosTheta_O 2) (/.f32 (*.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))) (pow.f32 cosTheta_i 2)) (pow.f32 v 2))) (*.f32 cosTheta_O (/.f32 (*.f32 cosTheta_i (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))) v)))))
(+.f32 (*.f32 (exp.f32 6931/10000) (/.f32 (/.f32 1/2 v) (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))) (fma.f32 1/6 (*.f32 (/.f32 (*.f32 (pow.f32 cosTheta_i 3) (*.f32 (/.f32 1/2 v) (exp.f32 6931/10000))) (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))) (pow.f32 (/.f32 cosTheta_O v) 3)) (fma.f32 1/2 (/.f32 (/.f32 (*.f32 (*.f32 (pow.f32 cosTheta_O 2) (pow.f32 cosTheta_i 2)) (*.f32 (/.f32 1/2 v) (exp.f32 6931/10000))) (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))) (pow.f32 v 2)) (*.f32 (/.f32 (*.f32 cosTheta_i (*.f32 (/.f32 1/2 v) (exp.f32 6931/10000))) (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))) (/.f32 cosTheta_O 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 (+.f32 (log.f32 (/.f32 1/2 v)) (*.f32 cosTheta_O (/.f32 cosTheta_i v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 (/.f32 -1 v) 6931/10000))) v))
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(exp.f32 (-.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) 6931/10000) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 (/.f32 -1 v) 6931/10000)))
(*.f32 (cbrt.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v))))) (pow.f32 (cbrt.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v))))) 2))
(exp.f32 (-.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) 6931/10000) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 (/.f32 -1 v) 6931/10000)))
(*.f32 (pow.f32 (cbrt.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v))))) 2) (cbrt.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v))))))
(exp.f32 (-.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) 6931/10000) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 (/.f32 -1 v) 6931/10000)))
(*.f32 (sqrt.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v))))) (sqrt.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v))))))
(exp.f32 (-.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) 6931/10000) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 (/.f32 -1 v) 6931/10000)))
(*.f32 (exp.f32 6931/10000) (exp.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v))))
(exp.f32 (-.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) 6931/10000) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 (/.f32 -1 v) 6931/10000)))
(/.f32 1 (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))) (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) 6931/10000))))
(exp.f32 (-.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) 6931/10000) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 (/.f32 -1 v) 6931/10000)))
(/.f32 (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) 6931/10000)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))
(exp.f32 (-.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) 6931/10000) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 (/.f32 -1 v) 6931/10000)))
(/.f32 (neg.f32 (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) 6931/10000))) (neg.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))))
(exp.f32 (-.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) 6931/10000) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 (/.f32 -1 v) 6931/10000)))
(pow.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)))) 1)
(exp.f32 (-.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) 6931/10000) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 (/.f32 -1 v) 6931/10000)))
(pow.f32 (cbrt.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v))))) 3)
(exp.f32 (-.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) 6931/10000) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 (/.f32 -1 v) 6931/10000)))
(pow.f32 (pow.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)))) 3) 1/3)
(exp.f32 (-.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) 6931/10000) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 (/.f32 -1 v) 6931/10000)))
(pow.f32 (sqrt.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v))))) 2)
(exp.f32 (-.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) 6931/10000) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 (/.f32 -1 v) 6931/10000)))
(pow.f32 (exp.f32 1) (+.f32 6931/10000 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v))))
(pow.f32 (E.f32) (+.f32 6931/10000 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (/.f32 1 v))))
(pow.f32 (E.f32) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 (/.f32 -1 v) 6931/10000)))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (+.f32 6931/10000 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)))) 2)) (cbrt.f32 (+.f32 6931/10000 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (+.f32 6931/10000 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (/.f32 1 v)))) 2)) (cbrt.f32 (+.f32 6931/10000 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (/.f32 1 v)))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 (/.f32 -1 v) 6931/10000))) 2)) (cbrt.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 (/.f32 -1 v) 6931/10000))))
(pow.f32 (exp.f32 (sqrt.f32 (+.f32 6931/10000 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v))))) (sqrt.f32 (+.f32 6931/10000 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)))))
(pow.f32 (exp.f32 (sqrt.f32 (+.f32 6931/10000 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (/.f32 1 v))))) (sqrt.f32 (+.f32 6931/10000 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (/.f32 1 v)))))
(pow.f32 (exp.f32 (sqrt.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 (/.f32 -1 v) 6931/10000)))) (sqrt.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 (/.f32 -1 v) 6931/10000))))
(sqrt.f32 (pow.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)))) 2))
(sqrt.f32 (pow.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (/.f32 1 v)))) 2))
(fabs.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 (/.f32 -1 v) 6931/10000))))
(log.f32 (exp.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v))))))
(exp.f32 (-.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) 6931/10000) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 (/.f32 -1 v) 6931/10000)))
(log.f32 (+.f32 1 (expm1.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)))))))
(exp.f32 (-.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) 6931/10000) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 (/.f32 -1 v) 6931/10000)))
(cbrt.f32 (pow.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)))) 3))
(exp.f32 (-.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) 6931/10000) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 (/.f32 -1 v) 6931/10000)))
(expm1.f32 (log1p.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v))))))
(expm1.f32 (log1p.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (/.f32 1 v))))))
(expm1.f32 (log1p.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 (/.f32 -1 v) 6931/10000)))))
(log1p.f32 (expm1.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v))))))
(exp.f32 (-.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) 6931/10000) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 (/.f32 -1 v) 6931/10000)))

eval225.0ms (1.7%)

Compiler

Compiled 14483 to 8337 computations (42.4% saved)

prune97.0ms (0.7%)

Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New4189427
Fresh000
Picked202
Done000
Total4209429
Accuracy
99.8%
Counts
429 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.4%
(pow.f32 (exp.f32 1) (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)))))
99.4%
(*.f32 (/.f32 1/2 v) (pow.f32 (E.f32) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 (/.f32 -1 v) 6931/10000))))
99.4%
(*.f32 (/.f32 1/2 v) (*.f32 (exp.f32 6931/10000) (exp.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)))))
99.4%
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
4.6%
(*.f32 (/.f32 1/2 v) (exp.f32 6931/10000))
99.1%
(*.f32 (exp.f32 6931/10000) (/.f32 (/.f32 1/2 v) (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))))
99.6%
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))) v))
4.6%
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
99.3%
(exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
Compiler

Compiled 374 to 288 computations (23% saved)

localize713.0ms (5.4%)

Localize:

Found 18 expressions with local error:

NewAccuracyProgram
100.0%
(*.f32 (exp.f32 6931/10000) (/.f32 (/.f32 1/2 v) (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))))
100.0%
(fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))
99.8%
(exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))
99.3%
(/.f32 (/.f32 1/2 v) (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))
99.8%
(-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
99.8%
(exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
99.6%
(log.f32 (/.f32 1/2 v))
78.7%
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
99.9%
(-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
99.8%
(exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
99.5%
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
78.7%
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
99.8%
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
99.0%
(/.f32 (exp.f32 6931/10000) v)
99.9%
(-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))
99.8%
(exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v)))
99.7%
(+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
74.8%
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
Compiler

Compiled 301 to 157 computations (47.8% saved)

series141.0ms (1.1%)

Counts
17 → 321
Calls

141 calls:

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

rewrite178.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
324×log1p-expm1-u
324×expm1-log1p-u
315×add-exp-log
313×add-log-exp
312×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
043662
1723640
Stop Event
node limit
Counts
17 → 483
Calls
Call 1
Inputs
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v)))
(-.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 sinTheta_O sinTheta_i) v)
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(/.f32 (*.f32 sinTheta_O sinTheta_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 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(/.f32 (/.f32 1/2 v) (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 (exp.f32 6931/10000) (/.f32 (/.f32 1/2 v) (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))))
Outputs
(-.f32 (exp.f32 (log1p.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)))) 1)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(*.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 1 v))
(*.f32 1 (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(*.f32 (pow.f32 (cbrt.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v))) 2) (cbrt.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v))))
(*.f32 (sqrt.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v))) (sqrt.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i 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_i (sqrt.f32 v)) (/.f32 cosTheta_O (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_O (sqrt.f32 v)) (/.f32 cosTheta_i (sqrt.f32 v)))
(*.f32 (/.f32 cosTheta_i 1) (/.f32 cosTheta_O v))
(*.f32 (/.f32 cosTheta_i (pow.f32 (cbrt.f32 v) 2)) (/.f32 cosTheta_O (cbrt.f32 v)))
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(exp.f32 (+.f32 6931/10000 (-.f32 (log.f32 (/.f32 1/2 v)) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))))
(exp.f32 (*.f32 (+.f32 6931/10000 (-.f32 (log.f32 (/.f32 1/2 v)) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))) 1))

simplify370.0ms (2.8%)

Algorithm
egg-herbie
Rules
919×fma-define
330×*-commutative
290×sqr-pow
236×+-commutative
178×unswap-sqr
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0149647906
1439242884
Stop Event
node limit
Counts
804 → 848
Calls
Call 1
Inputs
6931/10000
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
6931/10000
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
6931/10000
6931/10000
(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)))
(+.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 6931/10000)
(+.f32 (exp.f32 6931/10000) (/.f32 (*.f32 (exp.f32 6931/10000) (-.f32 (*.f32 cosTheta_O cosTheta_i) 1)) v))
(+.f32 (exp.f32 6931/10000) (+.f32 (*.f32 1/2 (/.f32 (*.f32 (exp.f32 6931/10000) (pow.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) 2)) (pow.f32 v 2))) (/.f32 (*.f32 (exp.f32 6931/10000) (-.f32 (*.f32 cosTheta_O cosTheta_i) 1)) v)))
(+.f32 (exp.f32 6931/10000) (+.f32 (*.f32 1/6 (/.f32 (*.f32 (exp.f32 6931/10000) (pow.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) 3)) (pow.f32 v 3))) (+.f32 (*.f32 1/2 (/.f32 (*.f32 (exp.f32 6931/10000) (pow.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) 2)) (pow.f32 v 2))) (/.f32 (*.f32 (exp.f32 6931/10000) (-.f32 (*.f32 cosTheta_O cosTheta_i) 1)) v))))
(exp.f32 6931/10000)
(+.f32 (exp.f32 6931/10000) (*.f32 -1 (/.f32 (*.f32 (exp.f32 6931/10000) (+.f32 1 (*.f32 -1 (*.f32 cosTheta_O cosTheta_i)))) v)))
(+.f32 (exp.f32 6931/10000) (+.f32 (*.f32 -1 (/.f32 (*.f32 (exp.f32 6931/10000) (+.f32 1 (*.f32 -1 (*.f32 cosTheta_O cosTheta_i)))) v)) (*.f32 1/2 (/.f32 (*.f32 (exp.f32 6931/10000) (pow.f32 (+.f32 1 (*.f32 -1 (*.f32 cosTheta_O cosTheta_i))) 2)) (pow.f32 v 2)))))
(+.f32 (exp.f32 6931/10000) (+.f32 (*.f32 -1 (/.f32 (*.f32 (exp.f32 6931/10000) (+.f32 1 (*.f32 -1 (*.f32 cosTheta_O cosTheta_i)))) v)) (+.f32 (*.f32 -1/6 (/.f32 (*.f32 (exp.f32 6931/10000) (pow.f32 (+.f32 1 (*.f32 -1 (*.f32 cosTheta_O cosTheta_i))) 3)) (pow.f32 v 3))) (*.f32 1/2 (/.f32 (*.f32 (exp.f32 6931/10000) (pow.f32 (+.f32 1 (*.f32 -1 (*.f32 cosTheta_O cosTheta_i))) 2)) (pow.f32 v 2))))))
(-.f32 6931/10000 (/.f32 1 v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(-.f32 6931/10000 (/.f32 1 v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v)
6931/10000
6931/10000
(+.f32 6931/10000 (*.f32 -1 (/.f32 (+.f32 1 (*.f32 -1 (*.f32 cosTheta_O cosTheta_i))) v)))
(+.f32 6931/10000 (*.f32 -1 (/.f32 (+.f32 1 (*.f32 -1 (*.f32 cosTheta_O cosTheta_i))) v)))
(+.f32 6931/10000 (*.f32 -1 (/.f32 (+.f32 1 (*.f32 -1 (*.f32 cosTheta_O cosTheta_i))) v)))
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(+.f32 (*.f32 -1/2 (/.f32 (*.f32 (exp.f32 6931/10000) (+.f32 1 (*.f32 sinTheta_O sinTheta_i))) (pow.f32 v 2))) (*.f32 1/2 (/.f32 (exp.f32 6931/10000) v)))
(+.f32 (*.f32 -1/2 (/.f32 (*.f32 (exp.f32 6931/10000) (+.f32 1 (*.f32 sinTheta_O sinTheta_i))) (pow.f32 v 2))) (+.f32 (*.f32 1/4 (/.f32 (*.f32 (exp.f32 6931/10000) (pow.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) 2)) (pow.f32 v 3))) (*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))))
(+.f32 (*.f32 -1/2 (/.f32 (*.f32 (exp.f32 6931/10000) (+.f32 1 (*.f32 sinTheta_O sinTheta_i))) (pow.f32 v 2))) (+.f32 (*.f32 -1/12 (/.f32 (*.f32 (exp.f32 6931/10000) (pow.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) 3)) (pow.f32 v 4))) (+.f32 (*.f32 1/4 (/.f32 (*.f32 (exp.f32 6931/10000) (pow.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) 2)) (pow.f32 v 3))) (*.f32 1/2 (/.f32 (exp.f32 6931/10000) v)))))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(+.f32 (*.f32 -1/2 (/.f32 (*.f32 (exp.f32 6931/10000) (-.f32 1 (*.f32 -1 (*.f32 sinTheta_O sinTheta_i)))) (pow.f32 v 2))) (*.f32 1/2 (/.f32 (exp.f32 6931/10000) v)))
(+.f32 (*.f32 -1/2 (/.f32 (*.f32 (exp.f32 6931/10000) (-.f32 1 (*.f32 -1 (*.f32 sinTheta_O sinTheta_i)))) (pow.f32 v 2))) (+.f32 (*.f32 1/4 (/.f32 (*.f32 (exp.f32 6931/10000) (pow.f32 (-.f32 1 (*.f32 -1 (*.f32 sinTheta_O sinTheta_i))) 2)) (pow.f32 v 3))) (*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))))
(+.f32 (*.f32 -1/2 (/.f32 (*.f32 (exp.f32 6931/10000) (-.f32 1 (*.f32 -1 (*.f32 sinTheta_O sinTheta_i)))) (pow.f32 v 2))) (+.f32 (*.f32 -1/12 (/.f32 (*.f32 (exp.f32 6931/10000) (pow.f32 (-.f32 1 (*.f32 -1 (*.f32 sinTheta_O sinTheta_i))) 3)) (pow.f32 v 4))) (+.f32 (*.f32 1/4 (/.f32 (*.f32 (exp.f32 6931/10000) (pow.f32 (-.f32 1 (*.f32 -1 (*.f32 sinTheta_O sinTheta_i))) 2)) (pow.f32 v 3))) (*.f32 1/2 (/.f32 (exp.f32 6931/10000) v)))))
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))
(+.f32 (*.f32 -1/2 (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 2))) (*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)))
(+.f32 (*.f32 -1/2 (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 2))) (+.f32 (*.f32 1/4 (/.f32 (*.f32 (pow.f32 sinTheta_O 2) (*.f32 (pow.f32 sinTheta_i 2) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 3))) (*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))))
(+.f32 (*.f32 -1/2 (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 2))) (+.f32 (*.f32 -1/12 (/.f32 (*.f32 (pow.f32 sinTheta_O 3) (*.f32 (pow.f32 sinTheta_i 3) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 4))) (+.f32 (*.f32 1/4 (/.f32 (*.f32 (pow.f32 sinTheta_O 2) (*.f32 (pow.f32 sinTheta_i 2) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 3))) (*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)))))
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))
(+.f32 (*.f32 -1/2 (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 2))) (*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)))
(+.f32 (*.f32 -1/2 (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 2))) (+.f32 (*.f32 1/4 (/.f32 (*.f32 (pow.f32 sinTheta_O 2) (*.f32 (pow.f32 sinTheta_i 2) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 3))) (*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))))
(+.f32 (*.f32 -1/2 (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 2))) (+.f32 (*.f32 -1/12 (/.f32 (*.f32 (pow.f32 sinTheta_O 3) (*.f32 (pow.f32 sinTheta_i 3) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 4))) (+.f32 (*.f32 1/4 (/.f32 (*.f32 (pow.f32 sinTheta_O 2) (*.f32 (pow.f32 sinTheta_i 2) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 3))) (*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)))))
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))
(exp.f32 6931/10000)
(+.f32 (exp.f32 6931/10000) (*.f32 -1 (/.f32 (*.f32 (exp.f32 6931/10000) (+.f32 1 (*.f32 sinTheta_O sinTheta_i))) v)))
(+.f32 (exp.f32 6931/10000) (+.f32 (*.f32 -1 (/.f32 (*.f32 (exp.f32 6931/10000) (+.f32 1 (*.f32 sinTheta_O sinTheta_i))) v)) (*.f32 1/2 (/.f32 (*.f32 (exp.f32 6931/10000) (pow.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) 2)) (pow.f32 v 2)))))
(+.f32 (exp.f32 6931/10000) (+.f32 (*.f32 -1 (/.f32 (*.f32 (exp.f32 6931/10000) (+.f32 1 (*.f32 sinTheta_O sinTheta_i))) v)) (+.f32 (*.f32 -1/6 (/.f32 (*.f32 (exp.f32 6931/10000) (pow.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) 3)) (pow.f32 v 3))) (*.f32 1/2 (/.f32 (*.f32 (exp.f32 6931/10000) (pow.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) 2)) (pow.f32 v 2))))))
(exp.f32 6931/10000)
(+.f32 (exp.f32 6931/10000) (*.f32 -1 (/.f32 (*.f32 (exp.f32 6931/10000) (-.f32 1 (*.f32 -1 (*.f32 sinTheta_O sinTheta_i)))) v)))
(+.f32 (exp.f32 6931/10000) (+.f32 (*.f32 -1 (/.f32 (*.f32 (exp.f32 6931/10000) (-.f32 1 (*.f32 -1 (*.f32 sinTheta_O sinTheta_i)))) v)) (*.f32 1/2 (/.f32 (*.f32 (exp.f32 6931/10000) (pow.f32 (-.f32 1 (*.f32 -1 (*.f32 sinTheta_O sinTheta_i))) 2)) (pow.f32 v 2)))))
(+.f32 (exp.f32 6931/10000) (+.f32 (*.f32 -1 (/.f32 (*.f32 (exp.f32 6931/10000) (-.f32 1 (*.f32 -1 (*.f32 sinTheta_O sinTheta_i)))) v)) (+.f32 (*.f32 -1/6 (/.f32 (*.f32 (exp.f32 6931/10000) (pow.f32 (-.f32 1 (*.f32 -1 (*.f32 sinTheta_O sinTheta_i))) 3)) (pow.f32 v 3))) (*.f32 1/2 (/.f32 (*.f32 (exp.f32 6931/10000) (pow.f32 (-.f32 1 (*.f32 -1 (*.f32 sinTheta_O sinTheta_i))) 2)) (pow.f32 v 2))))))
(exp.f32 (-.f32 6931/10000 (/.f32 1 v)))
(+.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (*.f32 -1 (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) v)))
(+.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) v)) (*.f32 1/2 (/.f32 (*.f32 (pow.f32 sinTheta_O 2) (*.f32 (pow.f32 sinTheta_i 2) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 2)))))
(+.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) v)) (+.f32 (*.f32 -1/6 (/.f32 (*.f32 (pow.f32 sinTheta_O 3) (*.f32 (pow.f32 sinTheta_i 3) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 3))) (*.f32 1/2 (/.f32 (*.f32 (pow.f32 sinTheta_O 2) (*.f32 (pow.f32 sinTheta_i 2) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 2))))))
(exp.f32 (-.f32 6931/10000 (/.f32 1 v)))
(+.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (*.f32 -1 (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) v)))
(+.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) v)) (*.f32 1/2 (/.f32 (*.f32 (pow.f32 sinTheta_O 2) (*.f32 (pow.f32 sinTheta_i 2) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 2)))))
(+.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) v)) (+.f32 (*.f32 -1/6 (/.f32 (*.f32 (pow.f32 sinTheta_O 3) (*.f32 (pow.f32 sinTheta_i 3) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 3))) (*.f32 1/2 (/.f32 (*.f32 (pow.f32 sinTheta_O 2) (*.f32 (pow.f32 sinTheta_i 2) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 2))))))
(*.f32 -1 (/.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) v))
(+.f32 6931/10000 (*.f32 -1 (/.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) v)))
(+.f32 6931/10000 (*.f32 -1 (/.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) v)))
(+.f32 6931/10000 (*.f32 -1 (/.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) v)))
6931/10000
(+.f32 6931/10000 (*.f32 -1 (/.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) v)))
(+.f32 6931/10000 (*.f32 -1 (/.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) v)))
(+.f32 6931/10000 (*.f32 -1 (/.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) v)))
6931/10000
(+.f32 6931/10000 (*.f32 -1 (/.f32 (-.f32 1 (*.f32 -1 (*.f32 sinTheta_O sinTheta_i))) v)))
(+.f32 6931/10000 (*.f32 -1 (/.f32 (-.f32 1 (*.f32 -1 (*.f32 sinTheta_O sinTheta_i))) v)))
(+.f32 6931/10000 (*.f32 -1 (/.f32 (-.f32 1 (*.f32 -1 (*.f32 sinTheta_O sinTheta_i))) v)))
(-.f32 6931/10000 (/.f32 1 v))
(-.f32 (+.f32 6931/10000 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (/.f32 1 v))
(-.f32 (+.f32 6931/10000 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (/.f32 1 v))
(-.f32 (+.f32 6931/10000 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (/.f32 1 v))
(*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
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(/.f32 (+.f32 (*.f32 (neg.f32 (*.f32 sinTheta_O sinTheta_i)) v) (*.f32 (neg.f32 v) 1)) (*.f32 (neg.f32 v) v))
(/.f32 (+.f32 (*.f32 (neg.f32 (*.f32 sinTheta_O sinTheta_i)) (/.f32 v 1)) (*.f32 (neg.f32 v) 1)) (*.f32 (neg.f32 v) (/.f32 v 1)))
(/.f32 (+.f32 (*.f32 (neg.f32 (*.f32 sinTheta_O sinTheta_i)) (neg.f32 v)) (*.f32 (neg.f32 v) -1)) (*.f32 (neg.f32 v) (neg.f32 v)))
(/.f32 (neg.f32 (+.f32 v (*.f32 v (*.f32 sinTheta_O sinTheta_i)))) (neg.f32 (pow.f32 v 2)))
(/.f32 (neg.f32 (+.f32 (pow.f32 v -3) (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) 3))) (neg.f32 (+.f32 (pow.f32 v -2) (-.f32 (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) 2) (/.f32 (*.f32 sinTheta_O sinTheta_i) (pow.f32 v 2))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 v -2) (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) 2))) (neg.f32 (/.f32 (-.f32 1 (*.f32 sinTheta_O sinTheta_i)) v)))
(pow.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)) 1)
(pow.f32 (cbrt.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))) 3)
(pow.f32 (pow.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)) 3) 1/3)
(pow.f32 (sqrt.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))) 2)
(sqrt.f32 (pow.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)) 2))
(log.f32 (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))
(log.f32 (+.f32 1 (expm1.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))))
(cbrt.f32 (pow.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)) 3))
(expm1.f32 (log1p.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))
(log1p.f32 (expm1.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))
(exp.f32 (log.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))
(exp.f32 (*.f32 (log.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))) 1))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (exp.f32 6931/10000) (/.f32 (/.f32 1/2 v) (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))))) 1)
(/.f32 (*.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))
(/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v))) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)))
(/.f32 (neg.f32 (*.f32 (exp.f32 6931/10000) (/.f32 1/2 v))) (neg.f32 (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))))
(pow.f32 (*.f32 (exp.f32 6931/10000) (/.f32 (/.f32 1/2 v) (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))) 1)
(pow.f32 (cbrt.f32 (*.f32 (exp.f32 6931/10000) (/.f32 (/.f32 1/2 v) (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))))) 3)
(pow.f32 (pow.f32 (*.f32 (exp.f32 6931/10000) (/.f32 (/.f32 1/2 v) (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))) 3) 1/3)
(pow.f32 (sqrt.f32 (*.f32 (exp.f32 6931/10000) (/.f32 (/.f32 1/2 v) (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))))) 2)
(pow.f32 (exp.f32 1) (+.f32 6931/10000 (-.f32 (log.f32 (/.f32 1/2 v)) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (+.f32 6931/10000 (-.f32 (log.f32 (/.f32 1/2 v)) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))) 2)) (cbrt.f32 (+.f32 6931/10000 (-.f32 (log.f32 (/.f32 1/2 v)) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))))
(pow.f32 (exp.f32 (sqrt.f32 (+.f32 6931/10000 (-.f32 (log.f32 (/.f32 1/2 v)) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))))) (sqrt.f32 (+.f32 6931/10000 (-.f32 (log.f32 (/.f32 1/2 v)) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))))
(sqrt.f32 (pow.f32 (*.f32 (exp.f32 6931/10000) (/.f32 (/.f32 1/2 v) (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))) 2))
(log.f32 (pow.f32 (exp.f32 (exp.f32 6931/10000)) (/.f32 (/.f32 1/2 v) (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (exp.f32 6931/10000) (/.f32 (/.f32 1/2 v) (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))))))
(cbrt.f32 (pow.f32 (*.f32 (exp.f32 6931/10000) (/.f32 (/.f32 1/2 v) (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))) 3))
(cbrt.f32 (*.f32 (pow.f32 (exp.f32 6931/10000) 3) (pow.f32 (/.f32 (/.f32 1/2 v) (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))) 3)))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 (/.f32 1/2 v) (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))) 3) (pow.f32 (exp.f32 6931/10000) 3)))
(expm1.f32 (log1p.f32 (*.f32 (exp.f32 6931/10000) (/.f32 (/.f32 1/2 v) (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))))))
(log1p.f32 (expm1.f32 (*.f32 (exp.f32 6931/10000) (/.f32 (/.f32 1/2 v) (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))))))
(exp.f32 (+.f32 6931/10000 (-.f32 (log.f32 (/.f32 1/2 v)) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))))
(exp.f32 (*.f32 (+.f32 6931/10000 (-.f32 (log.f32 (/.f32 1/2 v)) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))) 1))
Outputs
6931/10000
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
6931/10000
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
6931/10000
6931/10000
(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 (*.f32 cosTheta_i (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) v)))
(fma.f32 cosTheta_O (/.f32 (*.f32 cosTheta_i (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) v) (exp.f32 (+.f32 6931/10000 (/.f32 -1 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))) (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 (*.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))))
(+.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (fma.f32 1/6 (*.f32 (pow.f32 cosTheta_O 3) (/.f32 (*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (pow.f32 cosTheta_i 3)) (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 (*.f32 cosTheta_i (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) v)))))
(exp.f32 (-.f32 6931/10000 (/.f32 1 v)))
(exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))
(+.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 (*.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 (*.f32 cosTheta_i (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) v)))
(fma.f32 cosTheta_O (/.f32 (*.f32 cosTheta_i (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) v) (exp.f32 (+.f32 6931/10000 (/.f32 -1 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))) (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 (*.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))))
(+.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (fma.f32 1/6 (*.f32 (pow.f32 cosTheta_O 3) (/.f32 (*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (pow.f32 cosTheta_i 3)) (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 (*.f32 cosTheta_i (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) v)))))
(exp.f32 6931/10000)
(+.f32 (exp.f32 6931/10000) (/.f32 (*.f32 (exp.f32 6931/10000) (-.f32 (*.f32 cosTheta_O cosTheta_i) 1)) v))
(+.f32 (exp.f32 6931/10000) (*.f32 (exp.f32 6931/10000) (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)))
(fma.f32 (exp.f32 6931/10000) (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v) (exp.f32 6931/10000))
(+.f32 (exp.f32 6931/10000) (+.f32 (*.f32 1/2 (/.f32 (*.f32 (exp.f32 6931/10000) (pow.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) 2)) (pow.f32 v 2))) (/.f32 (*.f32 (exp.f32 6931/10000) (-.f32 (*.f32 cosTheta_O cosTheta_i) 1)) v)))
(+.f32 (exp.f32 6931/10000) (fma.f32 1/2 (*.f32 (exp.f32 6931/10000) (/.f32 (pow.f32 (fma.f32 cosTheta_O cosTheta_i -1) 2) (pow.f32 v 2))) (*.f32 (exp.f32 6931/10000) (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v))))
(+.f32 (exp.f32 6931/10000) (+.f32 (*.f32 1/6 (/.f32 (*.f32 (exp.f32 6931/10000) (pow.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) 3)) (pow.f32 v 3))) (+.f32 (*.f32 1/2 (/.f32 (*.f32 (exp.f32 6931/10000) (pow.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) 2)) (pow.f32 v 2))) (/.f32 (*.f32 (exp.f32 6931/10000) (-.f32 (*.f32 cosTheta_O cosTheta_i) 1)) v))))
(+.f32 (exp.f32 6931/10000) (fma.f32 1/6 (*.f32 (exp.f32 6931/10000) (/.f32 (pow.f32 (fma.f32 cosTheta_O cosTheta_i -1) 3) (pow.f32 v 3))) (fma.f32 1/2 (*.f32 (exp.f32 6931/10000) (/.f32 (pow.f32 (fma.f32 cosTheta_O cosTheta_i -1) 2) (pow.f32 v 2))) (*.f32 (exp.f32 6931/10000) (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)))))
(exp.f32 6931/10000)
(+.f32 (exp.f32 6931/10000) (*.f32 -1 (/.f32 (*.f32 (exp.f32 6931/10000) (+.f32 1 (*.f32 -1 (*.f32 cosTheta_O cosTheta_i)))) v)))
(+.f32 (exp.f32 6931/10000) (neg.f32 (*.f32 (exp.f32 6931/10000) (/.f32 (+.f32 1 (neg.f32 (*.f32 cosTheta_O cosTheta_i))) v))))
(-.f32 (exp.f32 6931/10000) (*.f32 (exp.f32 6931/10000) (/.f32 (-.f32 1 (*.f32 cosTheta_O cosTheta_i)) v)))
(+.f32 (exp.f32 6931/10000) (+.f32 (*.f32 -1 (/.f32 (*.f32 (exp.f32 6931/10000) (+.f32 1 (*.f32 -1 (*.f32 cosTheta_O cosTheta_i)))) v)) (*.f32 1/2 (/.f32 (*.f32 (exp.f32 6931/10000) (pow.f32 (+.f32 1 (*.f32 -1 (*.f32 cosTheta_O cosTheta_i))) 2)) (pow.f32 v 2)))))
(+.f32 (exp.f32 6931/10000) (fma.f32 -1 (*.f32 (exp.f32 6931/10000) (/.f32 (+.f32 1 (neg.f32 (*.f32 cosTheta_O cosTheta_i))) v)) (/.f32 (*.f32 1/2 (*.f32 (exp.f32 6931/10000) (pow.f32 (+.f32 1 (neg.f32 (*.f32 cosTheta_O cosTheta_i))) 2))) (pow.f32 v 2))))
(+.f32 (-.f32 (exp.f32 6931/10000) (*.f32 (exp.f32 6931/10000) (/.f32 (-.f32 1 (*.f32 cosTheta_O cosTheta_i)) v))) (/.f32 (*.f32 1/2 (*.f32 (exp.f32 6931/10000) (pow.f32 (-.f32 1 (*.f32 cosTheta_O cosTheta_i)) 2))) (pow.f32 v 2)))
(+.f32 (exp.f32 6931/10000) (+.f32 (*.f32 -1 (/.f32 (*.f32 (exp.f32 6931/10000) (+.f32 1 (*.f32 -1 (*.f32 cosTheta_O cosTheta_i)))) v)) (+.f32 (*.f32 -1/6 (/.f32 (*.f32 (exp.f32 6931/10000) (pow.f32 (+.f32 1 (*.f32 -1 (*.f32 cosTheta_O cosTheta_i))) 3)) (pow.f32 v 3))) (*.f32 1/2 (/.f32 (*.f32 (exp.f32 6931/10000) (pow.f32 (+.f32 1 (*.f32 -1 (*.f32 cosTheta_O cosTheta_i))) 2)) (pow.f32 v 2))))))
(+.f32 (exp.f32 6931/10000) (fma.f32 -1 (*.f32 (exp.f32 6931/10000) (/.f32 (+.f32 1 (neg.f32 (*.f32 cosTheta_O cosTheta_i))) v)) (fma.f32 -1/6 (*.f32 (exp.f32 6931/10000) (/.f32 (pow.f32 (+.f32 1 (neg.f32 (*.f32 cosTheta_O cosTheta_i))) 3) (pow.f32 v 3))) (/.f32 (*.f32 1/2 (*.f32 (exp.f32 6931/10000) (pow.f32 (+.f32 1 (neg.f32 (*.f32 cosTheta_O cosTheta_i))) 2))) (pow.f32 v 2)))))
(+.f32 (-.f32 (exp.f32 6931/10000) (*.f32 (exp.f32 6931/10000) (/.f32 (-.f32 1 (*.f32 cosTheta_O cosTheta_i)) v))) (fma.f32 1/2 (*.f32 (exp.f32 6931/10000) (/.f32 (pow.f32 (-.f32 1 (*.f32 cosTheta_O cosTheta_i)) 2) (pow.f32 v 2))) (/.f32 (*.f32 -1/6 (*.f32 (exp.f32 6931/10000) (pow.f32 (-.f32 1 (*.f32 cosTheta_O cosTheta_i)) 3))) (pow.f32 v 3))))
(-.f32 6931/10000 (/.f32 1 v))
(+.f32 6931/10000 (/.f32 -1 v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(-.f32 6931/10000 (/.f32 1 v))
(+.f32 6931/10000 (/.f32 -1 v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v)
(/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)
6931/10000
6931/10000
(+.f32 6931/10000 (*.f32 -1 (/.f32 (+.f32 1 (*.f32 -1 (*.f32 cosTheta_O cosTheta_i))) v)))
(+.f32 6931/10000 (neg.f32 (/.f32 (+.f32 1 (neg.f32 (*.f32 cosTheta_O cosTheta_i))) v)))
(-.f32 6931/10000 (/.f32 (-.f32 1 (*.f32 cosTheta_O cosTheta_i)) v))
(+.f32 6931/10000 (*.f32 -1 (/.f32 (+.f32 1 (*.f32 -1 (*.f32 cosTheta_O cosTheta_i))) v)))
(+.f32 6931/10000 (neg.f32 (/.f32 (+.f32 1 (neg.f32 (*.f32 cosTheta_O cosTheta_i))) v)))
(-.f32 6931/10000 (/.f32 (-.f32 1 (*.f32 cosTheta_O cosTheta_i)) v))
(+.f32 6931/10000 (*.f32 -1 (/.f32 (+.f32 1 (*.f32 -1 (*.f32 cosTheta_O cosTheta_i))) v)))
(+.f32 6931/10000 (neg.f32 (/.f32 (+.f32 1 (neg.f32 (*.f32 cosTheta_O cosTheta_i))) v)))
(-.f32 6931/10000 (/.f32 (-.f32 1 (*.f32 cosTheta_O cosTheta_i)) v))
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))))
(/.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v) -6931/10000)))
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))))
(/.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v) -6931/10000)))
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))))
(/.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v) -6931/10000)))
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))))
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(/.f32 (neg.f32 (-.f32 (pow.f32 v -2) (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) 2))) (neg.f32 (/.f32 (-.f32 1 (*.f32 sinTheta_O sinTheta_i)) v)))
(/.f32 (neg.f32 (-.f32 (pow.f32 v -2) (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) 2))) (/.f32 (-.f32 1 (*.f32 sinTheta_O sinTheta_i)) (neg.f32 v)))
(pow.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)) 1)
(fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))
(/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)
(pow.f32 (cbrt.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))) 3)
(fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))
(/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)
(pow.f32 (pow.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)) 3) 1/3)
(fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))
(/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)
(pow.f32 (sqrt.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))) 2)
(fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))
(/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)
(sqrt.f32 (pow.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)) 2))
(fabs.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))
(log.f32 (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 (fma.f32 sinTheta_O sinTheta_i 1) v)
(log.f32 (+.f32 1 (expm1.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))))
(fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))
(/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)
(cbrt.f32 (pow.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)) 3))
(fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))
(/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)
(expm1.f32 (log1p.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))
(expm1.f32 (log1p.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)))
(log1p.f32 (expm1.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))
(fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))
(/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)
(exp.f32 (log.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))
(fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))
(/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)
(exp.f32 (*.f32 (log.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))) 1))
(fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))
(/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)
(-.f32 (exp.f32 (log1p.f32 (*.f32 (exp.f32 6931/10000) (/.f32 (/.f32 1/2 v) (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))))) 1)
(expm1.f32 (log1p.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))))))
(expm1.f32 (log1p.f32 (/.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v) -6931/10000)))))
(/.f32 (*.f32 (exp.f32 6931/10000) (/.f32 1/2 v)) (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))))
(/.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v) -6931/10000)))
(/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v))) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)))
(/.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (log.f32 (/.f32 1/2 v)) (/.f32 1 v)))) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)))
(/.f32 (*.f32 (*.f32 1/2 (/.f32 (exp.f32 6931/10000) v)) (exp.f32 (/.f32 -1 v))) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)))
(/.f32 (neg.f32 (*.f32 (exp.f32 6931/10000) (/.f32 1/2 v))) (neg.f32 (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))))
(/.f32 (*.f32 (neg.f32 (exp.f32 6931/10000)) (/.f32 1/2 v)) (neg.f32 (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))))
(/.f32 (*.f32 (/.f32 (exp.f32 6931/10000) v) -1/2) (neg.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))))
(pow.f32 (*.f32 (exp.f32 6931/10000) (/.f32 (/.f32 1/2 v) (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))) 1)
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))))
(/.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v) -6931/10000)))
(pow.f32 (cbrt.f32 (*.f32 (exp.f32 6931/10000) (/.f32 (/.f32 1/2 v) (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))))) 3)
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))))
(/.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v) -6931/10000)))
(pow.f32 (pow.f32 (*.f32 (exp.f32 6931/10000) (/.f32 (/.f32 1/2 v) (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))) 3) 1/3)
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))))
(/.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v) -6931/10000)))
(pow.f32 (sqrt.f32 (*.f32 (exp.f32 6931/10000) (/.f32 (/.f32 1/2 v) (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))))) 2)
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))))
(/.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v) -6931/10000)))
(pow.f32 (exp.f32 1) (+.f32 6931/10000 (-.f32 (log.f32 (/.f32 1/2 v)) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))))
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))))
(/.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v) -6931/10000)))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (+.f32 6931/10000 (-.f32 (log.f32 (/.f32 1/2 v)) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))) 2)) (cbrt.f32 (+.f32 6931/10000 (-.f32 (log.f32 (/.f32 1/2 v)) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))))
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))))
(/.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v) -6931/10000)))
(pow.f32 (exp.f32 (sqrt.f32 (+.f32 6931/10000 (-.f32 (log.f32 (/.f32 1/2 v)) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))))) (sqrt.f32 (+.f32 6931/10000 (-.f32 (log.f32 (/.f32 1/2 v)) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))))
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))))
(/.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v) -6931/10000)))
(sqrt.f32 (pow.f32 (*.f32 (exp.f32 6931/10000) (/.f32 (/.f32 1/2 v) (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))) 2))
(sqrt.f32 (pow.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))) 2))
(fabs.f32 (/.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v) -6931/10000))))
(log.f32 (pow.f32 (exp.f32 (exp.f32 6931/10000)) (/.f32 (/.f32 1/2 v) (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))))
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))))
(/.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v) -6931/10000)))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (exp.f32 6931/10000) (/.f32 (/.f32 1/2 v) (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))))))
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))))
(/.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v) -6931/10000)))
(cbrt.f32 (pow.f32 (*.f32 (exp.f32 6931/10000) (/.f32 (/.f32 1/2 v) (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))) 3))
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))))
(/.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v) -6931/10000)))
(cbrt.f32 (*.f32 (pow.f32 (exp.f32 6931/10000) 3) (pow.f32 (/.f32 (/.f32 1/2 v) (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))) 3)))
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))))
(/.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v) -6931/10000)))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 (/.f32 1/2 v) (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))) 3) (pow.f32 (exp.f32 6931/10000) 3)))
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))))
(/.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v) -6931/10000)))
(expm1.f32 (log1p.f32 (*.f32 (exp.f32 6931/10000) (/.f32 (/.f32 1/2 v) (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))))))
(expm1.f32 (log1p.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))))))
(expm1.f32 (log1p.f32 (/.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v) -6931/10000)))))
(log1p.f32 (expm1.f32 (*.f32 (exp.f32 6931/10000) (/.f32 (/.f32 1/2 v) (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))))))
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))))
(/.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v) -6931/10000)))
(exp.f32 (+.f32 6931/10000 (-.f32 (log.f32 (/.f32 1/2 v)) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))))
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))))
(/.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v) -6931/10000)))
(exp.f32 (*.f32 (+.f32 6931/10000 (-.f32 (log.f32 (/.f32 1/2 v)) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))) 1))
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 6931/10000 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))))
(/.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v) -6931/10000)))

eval596.0ms (4.5%)

Compiler

Compiled 25452 to 17507 computations (31.2% saved)

prune215.0ms (1.6%)

Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New9148922
Fresh134
Picked415
Done000
Total91912931
Accuracy
99.8%
Counts
931 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.4%
(pow.f32 (exp.f32 1) (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)))))
99.2%
(/.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v) -6931/10000)))
98.8%
(/.f32 (*.f32 (/.f32 (exp.f32 6931/10000) v) -1/2) (neg.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))))
99.4%
(*.f32 (/.f32 1/2 v) (pow.f32 (E.f32) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 (/.f32 -1 v) 6931/10000))))
99.4%
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (neg.f32 (/.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) v)))))
4.6%
(*.f32 (/.f32 1/2 v) (exp.f32 6931/10000))
99.2%
(*.f32 (exp.f32 6931/10000) (pow.f32 (cbrt.f32 (/.f32 (/.f32 1/2 v) (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))) 3))
99.0%
(*.f32 (exp.f32 6931/10000) (/.f32 (/.f32 1/2 v) (exp.f32 (/.f32 1 v))))
99.6%
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))
4.6%
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
4.6%
(*.f32 1/2 (/.f32 1 (/.f32 v (exp.f32 6931/10000))))
90.4%
(exp.f32 (/.f32 (-.f32 (*.f32 (-.f32 48038761/100000000 (pow.f32 (log.f32 (/.f32 1/2 v)) 2)) (/.f32 (-.f32 1 (*.f32 sinTheta_O sinTheta_i)) v)) (*.f32 (-.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (-.f32 (pow.f32 v -2) (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) 2)))) (*.f32 (-.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (-.f32 1 (*.f32 sinTheta_O sinTheta_i)) v))))
Compiler

Compiled 505 to 402 computations (20.4% saved)

localize533.0ms (4%)

Localize:

Found 15 expressions with local error:

NewAccuracyProgram
99.8%
(exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))
99.8%
(*.f32 (/.f32 (exp.f32 6931/10000) v) -1/2)
99.3%
(/.f32 (*.f32 (/.f32 (exp.f32 6931/10000) v) -1/2) (neg.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))))
99.0%
(/.f32 (exp.f32 6931/10000) v)
100.0%
(*.f32 (exp.f32 6931/10000) (/.f32 (/.f32 1/2 v) (exp.f32 (/.f32 1 v))))
99.8%
(exp.f32 (/.f32 1 v))
99.3%
(/.f32 (/.f32 1/2 v) (exp.f32 (/.f32 1 v)))
100.0%
(/.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) v)
99.9%
(+.f32 6931/10000 (neg.f32 (/.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) v)))
99.8%
(exp.f32 (+.f32 6931/10000 (neg.f32 (/.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) v))))
99.5%
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (neg.f32 (/.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) v)))))
98.9%
(*.f32 (/.f32 1/2 v) (exp.f32 6931/10000))
99.9%
(/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)
99.9%
(-.f32 6931/10000 (/.f32 1 v))
99.8%
(exp.f32 (-.f32 6931/10000 (/.f32 1 v)))
Compiler

Compiled 217 to 148 computations (31.8% saved)

series88.0ms (0.7%)

Counts
14 → 279
Calls

78 calls:

TimeVariablePointExpression
21.0ms
v
@0
(/.f32 (/.f32 1/2 v) (exp.f32 (/.f32 1 v)))
3.0ms
sinTheta_O
@inf
(/.f32 (*.f32 (/.f32 (exp.f32 6931/10000) v) -1/2) (neg.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))))
2.0ms
v
@0
(/.f32 (*.f32 (/.f32 (exp.f32 6931/10000) v) -1/2) (neg.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))))
2.0ms
sinTheta_O
@-inf
(/.f32 (*.f32 (/.f32 (exp.f32 6931/10000) v) -1/2) (neg.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))))
2.0ms
sinTheta_i
@-inf
(/.f32 (*.f32 (/.f32 (exp.f32 6931/10000) v) -1/2) (neg.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))))

rewrite173.0ms (1.3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
039401
1638401
Stop Event
node limit
Counts
14 → 458
Calls
Call 1
Inputs
(exp.f32 (-.f32 6931/10000 (/.f32 1 v)))
(-.f32 6931/10000 (/.f32 1 v))
(/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)
(*.f32 (/.f32 1/2 v) (exp.f32 6931/10000))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (neg.f32 (/.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) v)))))
(exp.f32 (+.f32 6931/10000 (neg.f32 (/.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) v))))
(+.f32 6931/10000 (neg.f32 (/.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) v)))
(/.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) v)
(/.f32 (/.f32 1/2 v) (exp.f32 (/.f32 1 v)))
(exp.f32 (/.f32 1 v))
(*.f32 (exp.f32 6931/10000) (/.f32 (/.f32 1/2 v) (exp.f32 (/.f32 1 v))))
(/.f32 (*.f32 (/.f32 (exp.f32 6931/10000) v) -1/2) (neg.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))))
(*.f32 (/.f32 (exp.f32 6931/10000) v) -1/2)
(exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))
Outputs
(-.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) (exp.f32 (/.f32 -1 v)))
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(*.f32 (*.f32 -1 (cbrt.f32 (pow.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)) 2))) (cbrt.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))))
(*.f32 (*.f32 -1 (sqrt.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)))) (sqrt.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))))
(/.f32 1 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)))
(/.f32 1 (/.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)) 1))
(/.f32 -1 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)))
(/.f32 (-.f32 0 (pow.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)) 3)) (+.f32 0 (+.f32 (pow.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)) 2) (*.f32 0 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))))))
(/.f32 (-.f32 0 (pow.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)) 2)) (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)))
(pow.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)) 1)
(pow.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)) -1)
(pow.f32 (exp.f32 (fma.f32 sinTheta_O sinTheta_i 1)) (/.f32 1 v))
(pow.f32 (cbrt.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))) 3)
(pow.f32 (pow.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)) 3) 1/3)
(pow.f32 (sqrt.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))) 2)
(pow.f32 (exp.f32 1) (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))
(pow.f32 (exp.f32 -1) (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)) 2)) (cbrt.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)))
(pow.f32 (exp.f32 (sqrt.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))) (sqrt.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)))
(neg.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)))
(sqrt.f32 (pow.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)) 2))
(log.f32 (exp.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))))
(log.f32 (+.f32 1 (expm1.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)))))
(cbrt.f32 (pow.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)) 3))
(expm1.f32 (log1p.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))))
(log1p.f32 (expm1.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))))

simplify334.0ms (2.5%)

Algorithm
egg-herbie
Rules
569×fma-define
333×associate-*r/
283×*-commutative
258×unswap-sqr
230×sqr-pow
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0116434274
1309433055
Stop Event
node limit
Counts
737 → 723
Calls
Call 1
Inputs
(exp.f32 6931/10000)
(+.f32 (exp.f32 6931/10000) (*.f32 -1 (/.f32 (exp.f32 6931/10000) v)))
(+.f32 (exp.f32 6931/10000) (+.f32 (*.f32 -1 (/.f32 (exp.f32 6931/10000) v)) (*.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2)))))
(+.f32 (exp.f32 6931/10000) (+.f32 (*.f32 -1 (/.f32 (exp.f32 6931/10000) v)) (+.f32 (*.f32 -1/6 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (*.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))))))
(exp.f32 6931/10000)
(+.f32 (exp.f32 6931/10000) (*.f32 -1 (/.f32 (exp.f32 6931/10000) v)))
(+.f32 (exp.f32 6931/10000) (+.f32 (*.f32 -1 (/.f32 (exp.f32 6931/10000) v)) (*.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2)))))
(+.f32 (exp.f32 6931/10000) (+.f32 (*.f32 -1 (/.f32 (exp.f32 6931/10000) v)) (+.f32 (*.f32 -1/6 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (*.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))))))
(/.f32 -1 v)
6931/10000
6931/10000
(/.f32 (exp.f32 6931/10000) v)
(+.f32 (*.f32 -1 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (/.f32 (exp.f32 6931/10000) v))
(+.f32 (*.f32 -1 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (+.f32 (*.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (/.f32 (exp.f32 6931/10000) v)))
(+.f32 (*.f32 -1 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (+.f32 (*.f32 -1/6 (/.f32 (exp.f32 6931/10000) (pow.f32 v 4))) (+.f32 (*.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (/.f32 (exp.f32 6931/10000) v))))
(/.f32 (exp.f32 6931/10000) v)
(+.f32 (*.f32 -1 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (/.f32 (exp.f32 6931/10000) v))
(+.f32 (*.f32 -1 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (+.f32 (*.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (/.f32 (exp.f32 6931/10000) v)))
(+.f32 (*.f32 -1 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (+.f32 (*.f32 -1/6 (/.f32 (exp.f32 6931/10000) (pow.f32 v 4))) (+.f32 (*.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (/.f32 (exp.f32 6931/10000) v))))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(+.f32 (*.f32 -1/2 (/.f32 (*.f32 (exp.f32 6931/10000) (+.f32 1 (*.f32 sinTheta_O sinTheta_i))) (pow.f32 v 2))) (*.f32 1/2 (/.f32 (exp.f32 6931/10000) v)))
(+.f32 (*.f32 -1/2 (/.f32 (*.f32 (exp.f32 6931/10000) (+.f32 1 (*.f32 sinTheta_O sinTheta_i))) (pow.f32 v 2))) (+.f32 (*.f32 1/4 (/.f32 (*.f32 (exp.f32 6931/10000) (pow.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) 2)) (pow.f32 v 3))) (*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))))
(+.f32 (*.f32 -1/2 (/.f32 (*.f32 (exp.f32 6931/10000) (+.f32 1 (*.f32 sinTheta_O sinTheta_i))) (pow.f32 v 2))) (+.f32 (*.f32 -1/12 (/.f32 (*.f32 (exp.f32 6931/10000) (pow.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) 3)) (pow.f32 v 4))) (+.f32 (*.f32 1/4 (/.f32 (*.f32 (exp.f32 6931/10000) (pow.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) 2)) (pow.f32 v 3))) (*.f32 1/2 (/.f32 (exp.f32 6931/10000) v)))))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(+.f32 (*.f32 -1/2 (/.f32 (*.f32 (exp.f32 6931/10000) (+.f32 1 (*.f32 sinTheta_O sinTheta_i))) (pow.f32 v 2))) (*.f32 1/2 (/.f32 (exp.f32 6931/10000) v)))
(+.f32 (*.f32 -1/2 (/.f32 (*.f32 (exp.f32 6931/10000) (+.f32 1 (*.f32 sinTheta_O sinTheta_i))) (pow.f32 v 2))) (+.f32 (*.f32 1/4 (/.f32 (*.f32 (exp.f32 6931/10000) (pow.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) 2)) (pow.f32 v 3))) (*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))))
(+.f32 (*.f32 -1/2 (/.f32 (*.f32 (exp.f32 6931/10000) (+.f32 1 (*.f32 sinTheta_O sinTheta_i))) (pow.f32 v 2))) (+.f32 (*.f32 -1/12 (/.f32 (*.f32 (exp.f32 6931/10000) (pow.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) 3)) (pow.f32 v 4))) (+.f32 (*.f32 1/4 (/.f32 (*.f32 (exp.f32 6931/10000) (pow.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) 2)) (pow.f32 v 3))) (*.f32 1/2 (/.f32 (exp.f32 6931/10000) v)))))
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))
(+.f32 (*.f32 -1/2 (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 2))) (*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)))
(+.f32 (*.f32 -1/2 (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 2))) (+.f32 (*.f32 1/4 (/.f32 (*.f32 (pow.f32 sinTheta_O 2) (*.f32 (pow.f32 sinTheta_i 2) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 3))) (*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))))
(+.f32 (*.f32 -1/2 (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 2))) (+.f32 (*.f32 -1/12 (/.f32 (*.f32 (pow.f32 sinTheta_O 3) (*.f32 (pow.f32 sinTheta_i 3) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 4))) (+.f32 (*.f32 1/4 (/.f32 (*.f32 (pow.f32 sinTheta_O 2) (*.f32 (pow.f32 sinTheta_i 2) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 3))) (*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)))))
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))
(+.f32 (*.f32 -1/2 (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 2))) (*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)))
(+.f32 (*.f32 -1/2 (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 2))) (+.f32 (*.f32 1/4 (/.f32 (*.f32 (pow.f32 sinTheta_O 2) (*.f32 (pow.f32 sinTheta_i 2) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 3))) (*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))))
(+.f32 (*.f32 -1/2 (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 2))) (+.f32 (*.f32 -1/12 (/.f32 (*.f32 (pow.f32 sinTheta_O 3) (*.f32 (pow.f32 sinTheta_i 3) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 4))) (+.f32 (*.f32 1/4 (/.f32 (*.f32 (pow.f32 sinTheta_O 2) (*.f32 (pow.f32 sinTheta_i 2) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 3))) (*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v)))))
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))
(exp.f32 (-.f32 6931/10000 (/.f32 1 v)))
(+.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (*.f32 -1 (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) v)))
(+.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) v)) (*.f32 1/2 (/.f32 (*.f32 (pow.f32 sinTheta_O 2) (*.f32 (pow.f32 sinTheta_i 2) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 2)))))
(+.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) v)) (+.f32 (*.f32 -1/6 (/.f32 (*.f32 (pow.f32 sinTheta_O 3) (*.f32 (pow.f32 sinTheta_i 3) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 3))) (*.f32 1/2 (/.f32 (*.f32 (pow.f32 sinTheta_O 2) (*.f32 (pow.f32 sinTheta_i 2) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 2))))))
(exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 6931/10000 (/.f32 1 v)))
(+.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (*.f32 -1 (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) v)))
(+.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) v)) (*.f32 1/2 (/.f32 (*.f32 (pow.f32 sinTheta_O 2) (*.f32 (pow.f32 sinTheta_i 2) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 2)))))
(+.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) v)) (+.f32 (*.f32 -1/6 (/.f32 (*.f32 (pow.f32 sinTheta_O 3) (*.f32 (pow.f32 sinTheta_i 3) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 3))) (*.f32 1/2 (/.f32 (*.f32 (pow.f32 sinTheta_O 2) (*.f32 (pow.f32 sinTheta_i 2) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (pow.f32 v 2))))))
(exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 6931/10000)
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(*.f32 (/.f32 (pow.f32 (cbrt.f32 (*.f32 (/.f32 (exp.f32 6931/10000) v) -1/2)) 2) -1) (/.f32 (cbrt.f32 (*.f32 (/.f32 (exp.f32 6931/10000) v) -1/2)) (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (*.f32 (/.f32 (exp.f32 6931/10000) v) -1/2)) 2) (cbrt.f32 (pow.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)) 2))) (cbrt.f32 (*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))) v))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (*.f32 (/.f32 (exp.f32 6931/10000) v) -1/2)) 2) (sqrt.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)))) (/.f32 (cbrt.f32 (*.f32 (/.f32 (exp.f32 6931/10000) v) -1/2)) (sqrt.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)))))
(*.f32 (/.f32 (sqrt.f32 (*.f32 (/.f32 (exp.f32 6931/10000) v) -1/2)) -1) (/.f32 (sqrt.f32 (*.f32 (/.f32 (exp.f32 6931/10000) v) -1/2)) (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))))
(*.f32 (/.f32 (sqrt.f32 (*.f32 (/.f32 (exp.f32 6931/10000) v) -1/2)) (cbrt.f32 (pow.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)) 2))) (/.f32 (sqrt.f32 (*.f32 (/.f32 (exp.f32 6931/10000) v) -1/2)) (cbrt.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)))))
(*.f32 (*.f32 (/.f32 1/2 v) (pow.f32 (cbrt.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)))) 2)) (cbrt.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)))))
(*.f32 (*.f32 (/.f32 1/2 v) (sqrt.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))))) (sqrt.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)))))
(*.f32 (*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))) 1) (/.f32 1/2 v))
(*.f32 (*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))) 1/2) (/.f32 1 v))
(*.f32 (*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))) (cbrt.f32 (*.f32 1/4 (pow.f32 v -2)))) (cbrt.f32 (/.f32 1/2 v)))
(*.f32 (*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))) (sqrt.f32 (/.f32 1/2 v))) (sqrt.f32 (/.f32 1/2 v)))
(pow.f32 (*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))) v)) 1)
(pow.f32 (cbrt.f32 (*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))) v))) 3)
(pow.f32 (pow.f32 (*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))) v)) 3) 1/3)
(pow.f32 (sqrt.f32 (*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))) v))) 2)
(pow.f32 (/.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)) (*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))) -1)
(neg.f32 (*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))) v)))
(sqrt.f32 (pow.f32 (*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))) v)) 2))
(log.f32 (pow.f32 (exp.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)))) (/.f32 1/2 v)))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))) v)))))
(cbrt.f32 (pow.f32 (*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))) v)) 3))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 1/2 v) 3) (pow.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))) 3)))
(cbrt.f32 (*.f32 (pow.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))) 3) (pow.f32 (/.f32 1/2 v) 3)))
(cbrt.f32 (/.f32 (pow.f32 (*.f32 (/.f32 (exp.f32 6931/10000) v) -1/2) 3) (pow.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)) 3)))
(expm1.f32 (log1p.f32 (*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))) v))))
(log1p.f32 (expm1.f32 (*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))) v))))
(exp.f32 (+.f32 (+.f32 6931/10000 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)) (log.f32 (/.f32 1/2 v))))
(exp.f32 (*.f32 (+.f32 (+.f32 6931/10000 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)) (log.f32 (/.f32 1/2 v))) 1))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (/.f32 (exp.f32 6931/10000) v) -1/2))) 1)
(/.f32 1 (/.f32 v (*.f32 (exp.f32 6931/10000) -1/2)))
(/.f32 -1/2 (/.f32 v (exp.f32 6931/10000)))
(/.f32 (*.f32 (exp.f32 6931/10000) -1/2) v)
(/.f32 (neg.f32 (*.f32 (exp.f32 6931/10000) -1/2)) (neg.f32 v))
(pow.f32 (*.f32 (/.f32 (exp.f32 6931/10000) v) -1/2) 1)
(pow.f32 (cbrt.f32 (*.f32 (/.f32 (exp.f32 6931/10000) v) -1/2)) 3)
(pow.f32 (pow.f32 (*.f32 (/.f32 (exp.f32 6931/10000) v) -1/2) 3) 1/3)
(pow.f32 (sqrt.f32 (*.f32 (/.f32 (exp.f32 6931/10000) v) -1/2)) 2)
(sqrt.f32 (*.f32 (*.f32 (exp.f32 6931/5000) (pow.f32 v -2)) 1/4))
(log.f32 (pow.f32 (exp.f32 -1/2) (/.f32 (exp.f32 6931/10000) v)))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (/.f32 (exp.f32 6931/10000) v) -1/2))))
(cbrt.f32 (pow.f32 (*.f32 (/.f32 (exp.f32 6931/10000) v) -1/2) 3))
(expm1.f32 (log1p.f32 (*.f32 (/.f32 (exp.f32 6931/10000) v) -1/2)))
(log1p.f32 (expm1.f32 (*.f32 (/.f32 (exp.f32 6931/10000) v) -1/2)))
(exp.f32 (log.f32 (*.f32 (/.f32 (exp.f32 6931/10000) v) -1/2)))
(exp.f32 (*.f32 (log.f32 (*.f32 (/.f32 (exp.f32 6931/10000) v) -1/2)) 1))
(+.f32 0 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)))
(-.f32 0 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)))
(-.f32 (exp.f32 (log1p.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)))) 1)
(*.f32 1 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)))
(*.f32 -1 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)))
(*.f32 (cbrt.f32 (pow.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)) 2)) (cbrt.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))))
(*.f32 (cbrt.f32 (pow.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)) 2)) (neg.f32 (cbrt.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)))))
(*.f32 (cbrt.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))) (cbrt.f32 (pow.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)) 2)))
(*.f32 (sqrt.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))) (sqrt.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))))
(*.f32 (sqrt.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))) (neg.f32 (sqrt.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)))))
(*.f32 (neg.f32 (cbrt.f32 (pow.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)) 2))) (cbrt.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))))
(*.f32 (neg.f32 (sqrt.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)))) (sqrt.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))))
(*.f32 (*.f32 -1 (cbrt.f32 (pow.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)) 2))) (cbrt.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))))
(*.f32 (*.f32 -1 (sqrt.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)))) (sqrt.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))))
(/.f32 1 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)))
(/.f32 1 (/.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)) 1))
(/.f32 -1 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)))
(/.f32 (-.f32 0 (pow.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)) 3)) (+.f32 0 (+.f32 (pow.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)) 2) (*.f32 0 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))))))
(/.f32 (-.f32 0 (pow.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)) 2)) (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)))
(pow.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)) 1)
(pow.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)) -1)
(pow.f32 (exp.f32 (fma.f32 sinTheta_O sinTheta_i 1)) (/.f32 1 v))
(pow.f32 (cbrt.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))) 3)
(pow.f32 (pow.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)) 3) 1/3)
(pow.f32 (sqrt.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))) 2)
(pow.f32 (exp.f32 1) (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))
(pow.f32 (exp.f32 -1) (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)) 2)) (cbrt.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)))
(pow.f32 (exp.f32 (sqrt.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))) (sqrt.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)))
(neg.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)))
(sqrt.f32 (pow.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)) 2))
(log.f32 (exp.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))))
(log.f32 (+.f32 1 (expm1.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)))))
(cbrt.f32 (pow.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)) 3))
(expm1.f32 (log1p.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))))
(log1p.f32 (expm1.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))))
Outputs
(exp.f32 6931/10000)
(+.f32 (exp.f32 6931/10000) (*.f32 -1 (/.f32 (exp.f32 6931/10000) v)))
(+.f32 (exp.f32 6931/10000) (/.f32 (neg.f32 (exp.f32 6931/10000)) v))
(-.f32 (exp.f32 6931/10000) (/.f32 (exp.f32 6931/10000) v))
(+.f32 (exp.f32 6931/10000) (+.f32 (*.f32 -1 (/.f32 (exp.f32 6931/10000) v)) (*.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2)))))
(+.f32 (exp.f32 6931/10000) (fma.f32 -1 (/.f32 (exp.f32 6931/10000) v) (*.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2)))))
(+.f32 (-.f32 (exp.f32 6931/10000) (/.f32 (exp.f32 6931/10000) v)) (/.f32 (*.f32 (exp.f32 6931/10000) 1/2) (pow.f32 v 2)))
(+.f32 (exp.f32 6931/10000) (+.f32 (*.f32 -1 (/.f32 (exp.f32 6931/10000) v)) (+.f32 (*.f32 -1/6 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (*.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))))))
(+.f32 (exp.f32 6931/10000) (fma.f32 -1 (/.f32 (exp.f32 6931/10000) v) (fma.f32 -1/6 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3)) (*.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))))))
(+.f32 (-.f32 (exp.f32 6931/10000) (/.f32 (exp.f32 6931/10000) v)) (fma.f32 -1/6 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3)) (/.f32 (*.f32 (exp.f32 6931/10000) 1/2) (pow.f32 v 2))))
(exp.f32 6931/10000)
(+.f32 (exp.f32 6931/10000) (*.f32 -1 (/.f32 (exp.f32 6931/10000) v)))
(+.f32 (exp.f32 6931/10000) (/.f32 (neg.f32 (exp.f32 6931/10000)) v))
(-.f32 (exp.f32 6931/10000) (/.f32 (exp.f32 6931/10000) v))
(+.f32 (exp.f32 6931/10000) (+.f32 (*.f32 -1 (/.f32 (exp.f32 6931/10000) v)) (*.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2)))))
(+.f32 (exp.f32 6931/10000) (fma.f32 -1 (/.f32 (exp.f32 6931/10000) v) (*.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2)))))
(+.f32 (-.f32 (exp.f32 6931/10000) (/.f32 (exp.f32 6931/10000) v)) (/.f32 (*.f32 (exp.f32 6931/10000) 1/2) (pow.f32 v 2)))
(+.f32 (exp.f32 6931/10000) (+.f32 (*.f32 -1 (/.f32 (exp.f32 6931/10000) v)) (+.f32 (*.f32 -1/6 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (*.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))))))
(+.f32 (exp.f32 6931/10000) (fma.f32 -1 (/.f32 (exp.f32 6931/10000) v) (fma.f32 -1/6 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3)) (*.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))))))
(+.f32 (-.f32 (exp.f32 6931/10000) (/.f32 (exp.f32 6931/10000) v)) (fma.f32 -1/6 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3)) (/.f32 (*.f32 (exp.f32 6931/10000) 1/2) (pow.f32 v 2))))
(/.f32 -1 v)
6931/10000
6931/10000
(/.f32 (exp.f32 6931/10000) v)
(+.f32 (*.f32 -1 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (/.f32 (exp.f32 6931/10000) v))
(fma.f32 -1 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2)) (/.f32 (exp.f32 6931/10000) v))
(-.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (exp.f32 6931/10000) (pow.f32 v 2)))
(+.f32 (*.f32 -1 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (+.f32 (*.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (/.f32 (exp.f32 6931/10000) v)))
(fma.f32 -1 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2)) (fma.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3)) (/.f32 (exp.f32 6931/10000) v)))
(-.f32 (fma.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3)) (/.f32 (exp.f32 6931/10000) v)) (/.f32 (exp.f32 6931/10000) (pow.f32 v 2)))
(+.f32 (*.f32 -1 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (+.f32 (*.f32 -1/6 (/.f32 (exp.f32 6931/10000) (pow.f32 v 4))) (+.f32 (*.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (/.f32 (exp.f32 6931/10000) v))))
(fma.f32 -1 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2)) (fma.f32 -1/6 (/.f32 (exp.f32 6931/10000) (pow.f32 v 4)) (fma.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3)) (/.f32 (exp.f32 6931/10000) v))))
(-.f32 (fma.f32 -1/6 (/.f32 (exp.f32 6931/10000) (pow.f32 v 4)) (fma.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3)) (/.f32 (exp.f32 6931/10000) v))) (/.f32 (exp.f32 6931/10000) (pow.f32 v 2)))
(/.f32 (exp.f32 6931/10000) v)
(+.f32 (*.f32 -1 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (/.f32 (exp.f32 6931/10000) v))
(fma.f32 -1 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2)) (/.f32 (exp.f32 6931/10000) v))
(-.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (exp.f32 6931/10000) (pow.f32 v 2)))
(+.f32 (*.f32 -1 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (+.f32 (*.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (/.f32 (exp.f32 6931/10000) v)))
(fma.f32 -1 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2)) (fma.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3)) (/.f32 (exp.f32 6931/10000) v)))
(-.f32 (fma.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3)) (/.f32 (exp.f32 6931/10000) v)) (/.f32 (exp.f32 6931/10000) (pow.f32 v 2)))
(+.f32 (*.f32 -1 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2))) (+.f32 (*.f32 -1/6 (/.f32 (exp.f32 6931/10000) (pow.f32 v 4))) (+.f32 (*.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3))) (/.f32 (exp.f32 6931/10000) v))))
(fma.f32 -1 (/.f32 (exp.f32 6931/10000) (pow.f32 v 2)) (fma.f32 -1/6 (/.f32 (exp.f32 6931/10000) (pow.f32 v 4)) (fma.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3)) (/.f32 (exp.f32 6931/10000) v))))
(-.f32 (fma.f32 -1/6 (/.f32 (exp.f32 6931/10000) (pow.f32 v 4)) (fma.f32 1/2 (/.f32 (exp.f32 6931/10000) (pow.f32 v 3)) (/.f32 (exp.f32 6931/10000) v))) (/.f32 (exp.f32 6931/10000) (pow.f32 v 2)))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 (/.f32 (exp.f32 6931/10000) v) 1/2)
(*.f32 (exp.f32 6931/10000) (/.f32 1/2 v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 (/.f32 (exp.f32 6931/10000) v) 1/2)
(*.f32 (exp.f32 6931/10000) (/.f32 1/2 v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 (/.f32 (exp.f32 6931/10000) v) 1/2)
(*.f32 (exp.f32 6931/10000) (/.f32 1/2 v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 (/.f32 (exp.f32 6931/10000) v) 1/2)
(*.f32 (exp.f32 6931/10000) (/.f32 1/2 v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
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(exp.f32 (/.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) v))
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(exp.f32 (/.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))
1
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1
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(/.f32 (-.f32 0 (pow.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)) 2)) (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)))
(/.f32 (neg.f32 (pow.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)) 2)) (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)))
(neg.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)) 2) (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))))
(pow.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)) 1)
(exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))
(pow.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)) -1)
(exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) (neg.f32 v)))
(pow.f32 (exp.f32 (fma.f32 sinTheta_O sinTheta_i 1)) (/.f32 1 v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))
(pow.f32 (cbrt.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))) 3)
(exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))
(pow.f32 (pow.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)) 3) 1/3)
(exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))
(pow.f32 (sqrt.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))) 2)
(exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))
(pow.f32 (exp.f32 1) (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))
(pow.f32 (exp.f32 -1) (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) (neg.f32 v)))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)) 2)) (cbrt.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)))
(exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))
(pow.f32 (exp.f32 (sqrt.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))) (sqrt.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)))
(exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))
(neg.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)))
(sqrt.f32 (pow.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)) 2))
(fabs.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)))
(log.f32 (exp.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))))
(exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))
(log.f32 (+.f32 1 (expm1.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)))))
(exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))
(cbrt.f32 (pow.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)) 3))
(exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))
(expm1.f32 (log1p.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))))
(exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))
(log1p.f32 (expm1.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))))
(exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))

eval392.0ms (3%)

Compiler

Compiled 16105 to 12561 computations (22% saved)

prune251.0ms (1.9%)

Pruning

15 alts after pruning (10 fresh and 5 done)

PrunedKeptTotal
New7536759
Fresh246
Picked145
Done011
Total75615771
Accuracy
99.9%
Counts
771 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.4%
(pow.f32 (exp.f32 1) (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)))))
99.2%
(/.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v) -6931/10000)))
98.8%
(/.f32 (*.f32 (/.f32 (exp.f32 6931/10000) v) -1/2) (neg.f32 (pow.f32 (exp.f32 (fma.f32 sinTheta_O sinTheta_i 1)) (/.f32 1 v))))
98.8%
(/.f32 1 (/.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)) (*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))))
99.4%
(*.f32 (/.f32 1/2 v) (pow.f32 (E.f32) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 (/.f32 -1 v) 6931/10000))))
99.2%
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))
99.4%
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (neg.f32 (/.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) v)))))
4.6%
(*.f32 (/.f32 1/2 v) (exp.f32 6931/10000))
99.2%
(*.f32 (exp.f32 6931/10000) (pow.f32 (cbrt.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (/.f32 -1 v)))) 3))
99.0%
(*.f32 (exp.f32 6931/10000) (/.f32 (/.f32 1/2 v) (exp.f32 (/.f32 1 v))))
98.6%
(*.f32 1/2 (/.f32 (exp.f32 (/.f32 -1 v)) v))
99.6%
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))
99.6%
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) (*.f32 v (exp.f32 (/.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) v)))))
4.6%
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
90.4%
(exp.f32 (/.f32 (-.f32 (*.f32 (-.f32 48038761/100000000 (pow.f32 (log.f32 (/.f32 1/2 v)) 2)) (/.f32 (-.f32 1 (*.f32 sinTheta_O sinTheta_i)) v)) (*.f32 (-.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (-.f32 (pow.f32 v -2) (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) 2)))) (*.f32 (-.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (-.f32 1 (*.f32 sinTheta_O sinTheta_i)) v))))
Compiler

Compiled 549 to 439 computations (20% saved)

localize738.0ms (5.6%)

Localize:

Found 18 expressions with local error:

NewAccuracyProgram
100.0%
(*.f32 (exp.f32 6931/10000) (pow.f32 (cbrt.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (/.f32 -1 v)))) 3))
99.8%
(exp.f32 (/.f32 -1 v))
99.6%
(*.f32 (/.f32 1/2 v) (exp.f32 (/.f32 -1 v)))
99.4%
(cbrt.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (/.f32 -1 v))))
99.8%
(exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))
99.8%
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
99.4%
(/.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)) (*.f32 1/2 (/.f32 (exp.f32 6931/10000) v)))
99.0%
(/.f32 (exp.f32 6931/10000) v)
99.9%
(+.f32 (/.f32 -1 v) 6931/10000)
99.8%
(pow.f32 (E.f32) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 (/.f32 -1 v) 6931/10000)))
99.5%
(*.f32 (/.f32 1/2 v) (pow.f32 (E.f32) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 (/.f32 -1 v) 6931/10000))))
88.3%
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)
99.9%
(/.f32 (exp.f32 (/.f32 -1 v)) v)
99.8%
(exp.f32 (/.f32 -1 v))
100.0%
(/.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) v)
100.0%
(/.f32 (exp.f32 6931/10000) (*.f32 v (exp.f32 (/.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) v))))
99.8%
(exp.f32 (/.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) v))
99.7%
(*.f32 v (exp.f32 (/.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) v)))
Compiler

Compiled 318 to 187 computations (41.2% saved)

series119.0ms (0.9%)

Counts
14 → 312
Calls

102 calls:

TimeVariablePointExpression
8.0ms
cosTheta_i
@-inf
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)
4.0ms
cosTheta_i
@0
(*.f32 (/.f32 1/2 v) (pow.f32 (E.f32) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 (/.f32 -1 v) 6931/10000))))
4.0ms
v
@0
(*.f32 (exp.f32 6931/10000) (pow.f32 (cbrt.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (/.f32 -1 v)))) 3))
3.0ms
v
@0
(/.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)) (*.f32 1/2 (/.f32 (exp.f32 6931/10000) v)))
2.0ms
sinTheta_O
@0
(*.f32 (/.f32 1/2 v) (pow.f32 (E.f32) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 (/.f32 -1 v) 6931/10000))))

rewrite125.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
333×log1p-expm1-u
333×expm1-log1p-u
327×add-exp-log
327×add-log-exp
323×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
049526
1816518
Stop Event
node limit
Counts
14 → 263
Calls
Call 1
Inputs
(*.f32 v (exp.f32 (/.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) v)))
(exp.f32 (/.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) v))
(/.f32 (exp.f32 6931/10000) (*.f32 v (exp.f32 (/.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) v))))
(exp.f32 (/.f32 -1 v))
(/.f32 (exp.f32 (/.f32 -1 v)) v)
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)
(*.f32 (/.f32 1/2 v) (pow.f32 (E.f32) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 (/.f32 -1 v) 6931/10000))))
(pow.f32 (E.f32) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 (/.f32 -1 v) 6931/10000)))
(+.f32 (/.f32 -1 v) 6931/10000)
(/.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)) (*.f32 1/2 (/.f32 (exp.f32 6931/10000) v)))
(cbrt.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (/.f32 -1 v))))
(*.f32 (/.f32 1/2 v) (exp.f32 (/.f32 -1 v)))
(exp.f32 (/.f32 -1 v))
(*.f32 (exp.f32 6931/10000) (pow.f32 (cbrt.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (/.f32 -1 v)))) 3))
Outputs
(-.f32 (exp.f32 (log1p.f32 (*.f32 v (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))))) 1)
(pow.f32 (*.f32 v (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))) 1)
(pow.f32 (cbrt.f32 (*.f32 v (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)))) 3)
(pow.f32 (pow.f32 (*.f32 v (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))) 3) 1/3)
(pow.f32 (sqrt.f32 (*.f32 v (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)))) 2)
(sqrt.f32 (pow.f32 (*.f32 v (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))) 2))
(log.f32 (pow.f32 (exp.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))) v))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 v (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))))))
(cbrt.f32 (pow.f32 (*.f32 v (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))) 3))
(cbrt.f32 (*.f32 (pow.f32 v 3) (pow.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)) 3)))
(cbrt.f32 (*.f32 (pow.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)) 3) (pow.f32 v 3)))
(expm1.f32 (log1p.f32 (*.f32 v (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)))))
(log1p.f32 (expm1.f32 (*.f32 v (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)))))
(exp.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v) (log.f32 v)))
(exp.f32 (*.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v) (log.f32 v)) 1))
(-.f32 (exp.f32 (log1p.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)))) 1)
(*.f32 1 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)))
(*.f32 (pow.f32 (cbrt.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))) 2) (cbrt.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))))
(*.f32 (sqrt.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))) (sqrt.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))))
(pow.f32 (E.f32) (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))
(pow.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)) 1)
(pow.f32 (exp.f32 (fma.f32 sinTheta_O sinTheta_i 1)) (/.f32 1 v))
(pow.f32 (cbrt.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))) 3)
(pow.f32 (pow.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)) 3) 1/3)
(pow.f32 (sqrt.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))) 2)
(pow.f32 (exp.f32 (cbrt.f32 (pow.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v) 2))) (cbrt.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)))
(pow.f32 (exp.f32 (sqrt.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))) (sqrt.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)))
(sqrt.f32 (pow.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)) 2))
(log.f32 (exp.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))))
(log.f32 (+.f32 1 (expm1.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)))))
(cbrt.f32 (pow.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)) 3))
(expm1.f32 (log1p.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))))
(log1p.f32 (expm1.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (/.f32 (exp.f32 6931/10000) v) (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))))) 1)
(*.f32 1 (/.f32 (/.f32 (exp.f32 6931/10000) v) (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))))
(*.f32 (exp.f32 6931/10000) (/.f32 1 (*.f32 v (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)))))
(*.f32 (pow.f32 (cbrt.f32 (/.f32 (/.f32 (exp.f32 6931/10000) v) (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)))) 2) (cbrt.f32 (/.f32 (/.f32 (exp.f32 6931/10000) v) (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)))))
(*.f32 (sqrt.f32 (/.f32 (/.f32 (exp.f32 6931/10000) v) (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)))) (sqrt.f32 (/.f32 (/.f32 (exp.f32 6931/10000) v) (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)))))
(pow.f32 (/.f32 (/.f32 (exp.f32 6931/10000) v) (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))) 1)
(pow.f32 (cbrt.f32 (/.f32 (/.f32 (exp.f32 6931/10000) v) (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)))) 3)
(pow.f32 (pow.f32 (/.f32 (/.f32 (exp.f32 6931/10000) v) (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))) 3) 1/3)
(pow.f32 (sqrt.f32 (/.f32 (/.f32 (exp.f32 6931/10000) v) (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)))) 2)
(pow.f32 (/.f32 (*.f32 v (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))) (exp.f32 6931/10000)) -1)
(sqrt.f32 (/.f32 (exp.f32 6931/5000) (pow.f32 (*.f32 v (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))) 2)))
(log.f32 (exp.f32 (/.f32 (/.f32 (exp.f32 6931/10000) v) (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)))))
(log.f32 (+.f32 1 (expm1.f32 (/.f32 (/.f32 (exp.f32 6931/10000) v) (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))))))
(cbrt.f32 (pow.f32 (/.f32 (/.f32 (exp.f32 6931/10000) v) (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))) 3))
(cbrt.f32 (/.f32 (pow.f32 (exp.f32 6931/10000) 3) (pow.f32 (*.f32 v (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))) 3)))
(cbrt.f32 (/.f32 (pow.f32 (/.f32 (exp.f32 6931/10000) v) 3) (pow.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)) 3)))
(expm1.f32 (log1p.f32 (/.f32 (/.f32 (exp.f32 6931/10000) v) (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)))))
(log1p.f32 (expm1.f32 (/.f32 (/.f32 (exp.f32 6931/10000) v) (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)))))
(exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v) (log.f32 v))))
(exp.f32 (*.f32 (-.f32 6931/10000 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v) (log.f32 v))) 1))
(-.f32 (exp.f32 (log1p.f32 (exp.f32 (/.f32 -1 v)))) 1)
(*.f32 1 (exp.f32 (/.f32 -1 v)))
(*.f32 (pow.f32 (cbrt.f32 (exp.f32 (/.f32 -1 v))) 2) (cbrt.f32 (exp.f32 (/.f32 -1 v))))
(*.f32 (sqrt.f32 (exp.f32 (/.f32 -1 v))) (sqrt.f32 (exp.f32 (/.f32 -1 v))))
(pow.f32 (exp.f32 (/.f32 -1 v)) 1)
(pow.f32 (E.f32) (/.f32 -1 v))
(pow.f32 (cbrt.f32 (exp.f32 (/.f32 -1 v))) 3)
(pow.f32 (pow.f32 (exp.f32 (/.f32 -1 v)) 3) 1/3)
(pow.f32 (sqrt.f32 (exp.f32 (/.f32 -1 v))) 2)
(pow.f32 (exp.f32 -1) (/.f32 1 v))
(pow.f32 (exp.f32 (cbrt.f32 (/.f32 1 (pow.f32 v 2)))) (cbrt.f32 (/.f32 -1 v)))
(pow.f32 (exp.f32 (sqrt.f32 (/.f32 -1 v))) (sqrt.f32 (/.f32 -1 v)))
(sqrt.f32 (pow.f32 (exp.f32 (/.f32 -1 v)) 2))
(log.f32 (exp.f32 (exp.f32 (/.f32 -1 v))))
(log.f32 (+.f32 1 (expm1.f32 (exp.f32 (/.f32 -1 v)))))
(cbrt.f32 (pow.f32 (exp.f32 (/.f32 -1 v)) 3))
(expm1.f32 (log1p.f32 (exp.f32 (/.f32 -1 v))))
(log1p.f32 (expm1.f32 (exp.f32 (/.f32 -1 v))))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (exp.f32 (/.f32 -1 v)) v))) 1)
(*.f32 1 (/.f32 (exp.f32 (/.f32 -1 v)) v))
(*.f32 (exp.f32 (/.f32 -1 v)) (/.f32 1 v))
(*.f32 (cbrt.f32 (pow.f32 (/.f32 (exp.f32 (/.f32 -1 v)) v) 2)) (cbrt.f32 (/.f32 (exp.f32 (/.f32 -1 v)) v)))
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(pow.f32 (cbrt.f32 (cbrt.f32 (*.f32 (exp.f32 (/.f32 -1 v)) (/.f32 1/2 v)))) 3)
(pow.f32 (pow.f32 (*.f32 (exp.f32 (/.f32 -1 v)) (/.f32 1/2 v)) 1/6) 2)
(sqrt.f32 (cbrt.f32 (pow.f32 (*.f32 (exp.f32 (/.f32 -1 v)) (/.f32 1/2 v)) 2)))
(log.f32 (exp.f32 (cbrt.f32 (*.f32 (exp.f32 (/.f32 -1 v)) (/.f32 1/2 v)))))
(log.f32 (+.f32 1 (expm1.f32 (cbrt.f32 (*.f32 (exp.f32 (/.f32 -1 v)) (/.f32 1/2 v))))))
(expm1.f32 (log1p.f32 (cbrt.f32 (*.f32 (exp.f32 (/.f32 -1 v)) (/.f32 1/2 v)))))
(log1p.f32 (expm1.f32 (cbrt.f32 (*.f32 (exp.f32 (/.f32 -1 v)) (/.f32 1/2 v)))))
(exp.f32 (*.f32 1/3 (+.f32 (/.f32 -1 v) (log.f32 (/.f32 1/2 v)))))
(exp.f32 (*.f32 (+.f32 (/.f32 -1 v) (log.f32 (/.f32 1/2 v))) 1/3))
(exp.f32 (*.f32 (*.f32 1/3 (+.f32 (/.f32 -1 v) (log.f32 (/.f32 1/2 v)))) 1))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (exp.f32 (/.f32 -1 v)) (/.f32 1/2 v)))) 1)
(/.f32 (*.f32 1/2 (exp.f32 (/.f32 -1 v))) v)
(/.f32 (neg.f32 (*.f32 1/2 (exp.f32 (/.f32 -1 v)))) (neg.f32 v))
(pow.f32 (*.f32 (exp.f32 (/.f32 -1 v)) (/.f32 1/2 v)) 1)
(pow.f32 (cbrt.f32 (*.f32 (exp.f32 (/.f32 -1 v)) (/.f32 1/2 v))) 3)
(pow.f32 (cbrt.f32 (pow.f32 (*.f32 (exp.f32 (/.f32 -1 v)) (/.f32 1/2 v)) 2)) 3/2)
(pow.f32 (pow.f32 (*.f32 (exp.f32 (/.f32 -1 v)) (/.f32 1/2 v)) 3) 1/3)
(pow.f32 (sqrt.f32 (*.f32 (exp.f32 (/.f32 -1 v)) (/.f32 1/2 v))) 2)
(sqrt.f32 (pow.f32 (*.f32 (exp.f32 (/.f32 -1 v)) (/.f32 1/2 v)) 2))
(log.f32 (pow.f32 (exp.f32 (exp.f32 (/.f32 -1 v))) (/.f32 1/2 v)))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (exp.f32 (/.f32 -1 v)) (/.f32 1/2 v)))))
(cbrt.f32 (pow.f32 (*.f32 (exp.f32 (/.f32 -1 v)) (/.f32 1/2 v)) 3))
(cbrt.f32 (*.f32 (pow.f32 (exp.f32 (/.f32 -1 v)) 3) (pow.f32 (/.f32 1/2 v) 3)))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 1/2 v) 3) (pow.f32 (exp.f32 (/.f32 -1 v)) 3)))
(expm1.f32 (log1p.f32 (*.f32 (exp.f32 (/.f32 -1 v)) (/.f32 1/2 v))))
(log1p.f32 (expm1.f32 (*.f32 (exp.f32 (/.f32 -1 v)) (/.f32 1/2 v))))
(exp.f32 (+.f32 (/.f32 -1 v) (log.f32 (/.f32 1/2 v))))
(exp.f32 (*.f32 (+.f32 (/.f32 -1 v) (log.f32 (/.f32 1/2 v))) 1))
(-.f32 (exp.f32 (log1p.f32 (exp.f32 (/.f32 -1 v)))) 1)
(*.f32 1 (exp.f32 (/.f32 -1 v)))
(*.f32 (pow.f32 (cbrt.f32 (exp.f32 (/.f32 -1 v))) 2) (cbrt.f32 (exp.f32 (/.f32 -1 v))))
(*.f32 (sqrt.f32 (exp.f32 (/.f32 -1 v))) (sqrt.f32 (exp.f32 (/.f32 -1 v))))
(pow.f32 (exp.f32 (/.f32 -1 v)) 1)
(pow.f32 (E.f32) (/.f32 -1 v))
(pow.f32 (cbrt.f32 (exp.f32 (/.f32 -1 v))) 3)
(pow.f32 (pow.f32 (exp.f32 (/.f32 -1 v)) 3) 1/3)
(pow.f32 (sqrt.f32 (exp.f32 (/.f32 -1 v))) 2)
(pow.f32 (exp.f32 -1) (/.f32 1 v))
(pow.f32 (exp.f32 (cbrt.f32 (/.f32 1 (pow.f32 v 2)))) (cbrt.f32 (/.f32 -1 v)))
(pow.f32 (exp.f32 (sqrt.f32 (/.f32 -1 v))) (sqrt.f32 (/.f32 -1 v)))
(sqrt.f32 (pow.f32 (exp.f32 (/.f32 -1 v)) 2))
(log.f32 (exp.f32 (exp.f32 (/.f32 -1 v))))
(log.f32 (+.f32 1 (expm1.f32 (exp.f32 (/.f32 -1 v)))))
(cbrt.f32 (pow.f32 (exp.f32 (/.f32 -1 v)) 3))
(expm1.f32 (log1p.f32 (exp.f32 (/.f32 -1 v))))
(log1p.f32 (expm1.f32 (exp.f32 (/.f32 -1 v))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (exp.f32 6931/10000) (*.f32 (exp.f32 (/.f32 -1 v)) (/.f32 1/2 v))))) 1)
(pow.f32 (*.f32 (exp.f32 6931/10000) (*.f32 (exp.f32 (/.f32 -1 v)) (/.f32 1/2 v))) 1)
(pow.f32 (cbrt.f32 (*.f32 (exp.f32 6931/10000) (*.f32 (exp.f32 (/.f32 -1 v)) (/.f32 1/2 v)))) 3)
(pow.f32 (pow.f32 (*.f32 (exp.f32 6931/10000) (*.f32 (exp.f32 (/.f32 -1 v)) (/.f32 1/2 v))) 3) 1/3)
(pow.f32 (sqrt.f32 (*.f32 (exp.f32 6931/10000) (*.f32 (exp.f32 (/.f32 -1 v)) (/.f32 1/2 v)))) 2)
(sqrt.f32 (pow.f32 (*.f32 (exp.f32 6931/10000) (*.f32 (exp.f32 (/.f32 -1 v)) (/.f32 1/2 v))) 2))
(log.f32 (pow.f32 (exp.f32 (exp.f32 6931/10000)) (*.f32 (exp.f32 (/.f32 -1 v)) (/.f32 1/2 v))))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (exp.f32 6931/10000) (*.f32 (exp.f32 (/.f32 -1 v)) (/.f32 1/2 v))))))
(cbrt.f32 (pow.f32 (*.f32 (exp.f32 6931/10000) (*.f32 (exp.f32 (/.f32 -1 v)) (/.f32 1/2 v))) 3))
(cbrt.f32 (*.f32 (pow.f32 (exp.f32 6931/10000) 3) (pow.f32 (*.f32 (exp.f32 (/.f32 -1 v)) (/.f32 1/2 v)) 3)))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 (exp.f32 (/.f32 -1 v)) (/.f32 1/2 v)) 3) (pow.f32 (exp.f32 6931/10000) 3)))
(expm1.f32 (log1p.f32 (*.f32 (exp.f32 6931/10000) (*.f32 (exp.f32 (/.f32 -1 v)) (/.f32 1/2 v)))))
(log1p.f32 (expm1.f32 (*.f32 (exp.f32 6931/10000) (*.f32 (exp.f32 (/.f32 -1 v)) (/.f32 1/2 v)))))
(exp.f32 (+.f32 6931/10000 (+.f32 (/.f32 -1 v) (log.f32 (/.f32 1/2 v)))))
(exp.f32 (*.f32 (+.f32 6931/10000 (+.f32 (/.f32 -1 v) (log.f32 (/.f32 1/2 v)))) 1))

simplify332.0ms (2.5%)

Algorithm
egg-herbie
Rules
644×associate-*l*
500×times-frac
474×fma-define
249×sqr-pow
229×associate-+r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
090337731
1259034501
Stop Event
node limit
Counts
575 → 549
Calls
Call 1
Inputs
v
(+.f32 1 (+.f32 v (*.f32 sinTheta_O sinTheta_i)))
(+.f32 1 (+.f32 v (+.f32 (*.f32 1/2 (/.f32 (pow.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) 2) v)) (*.f32 sinTheta_O sinTheta_i))))
(+.f32 1 (+.f32 v (+.f32 (*.f32 1/6 (/.f32 (pow.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) 3) (pow.f32 v 2))) (+.f32 (*.f32 1/2 (/.f32 (pow.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) 2) v)) (*.f32 sinTheta_O sinTheta_i)))))
v
(+.f32 1 (+.f32 v (*.f32 sinTheta_O sinTheta_i)))
(+.f32 1 (+.f32 v (+.f32 (*.f32 1/2 (/.f32 (pow.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) 2) v)) (*.f32 sinTheta_O sinTheta_i))))
(+.f32 1 (+.f32 v (+.f32 (*.f32 1/6 (/.f32 (pow.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) 3) (pow.f32 v 2))) (+.f32 (*.f32 1/2 (/.f32 (pow.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) 2) v)) (*.f32 sinTheta_O sinTheta_i)))))
(*.f32 v (exp.f32 (/.f32 1 v)))
(+.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (exp.f32 (/.f32 1 v)))) (*.f32 v (exp.f32 (/.f32 1 v))))
(+.f32 (*.f32 1/2 (/.f32 (*.f32 (pow.f32 sinTheta_O 2) (*.f32 (pow.f32 sinTheta_i 2) (exp.f32 (/.f32 1 v)))) v)) (+.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (exp.f32 (/.f32 1 v)))) (*.f32 v (exp.f32 (/.f32 1 v)))))
(+.f32 (*.f32 1/6 (/.f32 (*.f32 (pow.f32 sinTheta_O 3) (*.f32 (pow.f32 sinTheta_i 3) (exp.f32 (/.f32 1 v)))) (pow.f32 v 2))) (+.f32 (*.f32 1/2 (/.f32 (*.f32 (pow.f32 sinTheta_O 2) (*.f32 (pow.f32 sinTheta_i 2) (exp.f32 (/.f32 1 v)))) v)) (+.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (exp.f32 (/.f32 1 v)))) (*.f32 v (exp.f32 (/.f32 1 v))))))
(*.f32 v (exp.f32 (/.f32 1 v)))
(+.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (exp.f32 (/.f32 1 v)))) (*.f32 v (exp.f32 (/.f32 1 v))))
(+.f32 (*.f32 1/2 (/.f32 (*.f32 (pow.f32 sinTheta_O 2) (*.f32 (pow.f32 sinTheta_i 2) (exp.f32 (/.f32 1 v)))) v)) (+.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (exp.f32 (/.f32 1 v)))) (*.f32 v (exp.f32 (/.f32 1 v)))))
(+.f32 (*.f32 1/6 (/.f32 (*.f32 (pow.f32 sinTheta_O 3) (*.f32 (pow.f32 sinTheta_i 3) (exp.f32 (/.f32 1 v)))) (pow.f32 v 2))) (+.f32 (*.f32 1/2 (/.f32 (*.f32 (pow.f32 sinTheta_O 2) (*.f32 (pow.f32 sinTheta_i 2) (exp.f32 (/.f32 1 v)))) v)) (+.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (exp.f32 (/.f32 1 v)))) (*.f32 v (exp.f32 (/.f32 1 v))))))
(exp.f32 (/.f32 1 v))
(+.f32 (exp.f32 (/.f32 1 v)) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (exp.f32 (/.f32 1 v)))) v))
(+.f32 (exp.f32 (/.f32 1 v)) (+.f32 (*.f32 1/2 (/.f32 (*.f32 (pow.f32 sinTheta_O 2) (*.f32 (pow.f32 sinTheta_i 2) (exp.f32 (/.f32 1 v)))) (pow.f32 v 2))) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (exp.f32 (/.f32 1 v)))) v)))
(+.f32 (exp.f32 (/.f32 1 v)) (+.f32 (*.f32 1/6 (/.f32 (*.f32 (pow.f32 sinTheta_O 3) (*.f32 (pow.f32 sinTheta_i 3) (exp.f32 (/.f32 1 v)))) (pow.f32 v 3))) (+.f32 (*.f32 1/2 (/.f32 (*.f32 (pow.f32 sinTheta_O 2) (*.f32 (pow.f32 sinTheta_i 2) (exp.f32 (/.f32 1 v)))) (pow.f32 v 2))) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (exp.f32 (/.f32 1 v)))) v))))
(exp.f32 (/.f32 1 v))
(+.f32 (exp.f32 (/.f32 1 v)) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (exp.f32 (/.f32 1 v)))) v))
(+.f32 (exp.f32 (/.f32 1 v)) (+.f32 (*.f32 1/2 (/.f32 (*.f32 (pow.f32 sinTheta_O 2) (*.f32 (pow.f32 sinTheta_i 2) (exp.f32 (/.f32 1 v)))) (pow.f32 v 2))) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (exp.f32 (/.f32 1 v)))) v)))
(+.f32 (exp.f32 (/.f32 1 v)) (+.f32 (*.f32 1/6 (/.f32 (*.f32 (pow.f32 sinTheta_O 3) (*.f32 (pow.f32 sinTheta_i 3) (exp.f32 (/.f32 1 v)))) (pow.f32 v 3))) (+.f32 (*.f32 1/2 (/.f32 (*.f32 (pow.f32 sinTheta_O 2) (*.f32 (pow.f32 sinTheta_i 2) (exp.f32 (/.f32 1 v)))) (pow.f32 v 2))) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (exp.f32 (/.f32 1 v)))) v))))
1
(+.f32 1 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(+.f32 1 (+.f32 (*.f32 1/2 (/.f32 (pow.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) 2) (pow.f32 v 2))) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(+.f32 1 (+.f32 (*.f32 1/6 (/.f32 (pow.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) 3) (pow.f32 v 3))) (+.f32 (*.f32 1/2 (/.f32 (pow.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) 2) (pow.f32 v 2))) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
1
(+.f32 1 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(+.f32 1 (+.f32 (*.f32 1/2 (/.f32 (pow.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) 2) (pow.f32 v 2))) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(+.f32 1 (+.f32 (*.f32 1/6 (/.f32 (pow.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) 3) (pow.f32 v 3))) (+.f32 (*.f32 1/2 (/.f32 (pow.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) 2) (pow.f32 v 2))) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(/.f32 (exp.f32 6931/10000) v)
(+.f32 (*.f32 -1 (/.f32 (*.f32 (exp.f32 6931/10000) (+.f32 1 (*.f32 sinTheta_O sinTheta_i))) (pow.f32 v 2))) (/.f32 (exp.f32 6931/10000) v))
(+.f32 (*.f32 -1 (/.f32 (*.f32 (exp.f32 6931/10000) (+.f32 1 (*.f32 sinTheta_O sinTheta_i))) (pow.f32 v 2))) (+.f32 (*.f32 -1 (/.f32 (+.f32 (*.f32 -1 (*.f32 (exp.f32 6931/10000) (pow.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) 2))) (*.f32 1/2 (*.f32 (exp.f32 6931/10000) (pow.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) 2)))) (pow.f32 v 3))) (/.f32 (exp.f32 6931/10000) v)))
(+.f32 (*.f32 -1 (/.f32 (*.f32 (exp.f32 6931/10000) (+.f32 1 (*.f32 sinTheta_O sinTheta_i))) (pow.f32 v 2))) (+.f32 (*.f32 -1 (/.f32 (+.f32 (*.f32 -1 (*.f32 (exp.f32 6931/10000) (pow.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) 2))) (*.f32 1/2 (*.f32 (exp.f32 6931/10000) (pow.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) 2)))) (pow.f32 v 3))) (+.f32 (*.f32 -1 (/.f32 (+.f32 (*.f32 -1 (*.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) (+.f32 (*.f32 -1 (*.f32 (exp.f32 6931/10000) (pow.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) 2))) (*.f32 1/2 (*.f32 (exp.f32 6931/10000) (pow.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) 2)))))) (+.f32 (*.f32 -1/2 (*.f32 (exp.f32 6931/10000) (pow.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) 3))) (*.f32 1/6 (*.f32 (exp.f32 6931/10000) (pow.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) 3))))) (pow.f32 v 4))) (/.f32 (exp.f32 6931/10000) v))))
(/.f32 (exp.f32 6931/10000) v)
(+.f32 (*.f32 -1 (/.f32 (*.f32 (exp.f32 6931/10000) (+.f32 1 (*.f32 sinTheta_O sinTheta_i))) (pow.f32 v 2))) (/.f32 (exp.f32 6931/10000) v))
(+.f32 (*.f32 -1 (/.f32 (*.f32 (exp.f32 6931/10000) (+.f32 1 (*.f32 sinTheta_O sinTheta_i))) (pow.f32 v 2))) (+.f32 (*.f32 -1 (/.f32 (+.f32 (*.f32 -1 (*.f32 (exp.f32 6931/10000) (pow.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) 2))) (*.f32 1/2 (*.f32 (exp.f32 6931/10000) (pow.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) 2)))) (pow.f32 v 3))) (/.f32 (exp.f32 6931/10000) v)))
(+.f32 (*.f32 -1 (/.f32 (*.f32 (exp.f32 6931/10000) (+.f32 1 (*.f32 sinTheta_O sinTheta_i))) (pow.f32 v 2))) (+.f32 (*.f32 -1 (/.f32 (+.f32 (*.f32 -1 (*.f32 (exp.f32 6931/10000) (pow.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) 2))) (*.f32 1/2 (*.f32 (exp.f32 6931/10000) (pow.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) 2)))) (pow.f32 v 3))) (+.f32 (*.f32 -1/6 (/.f32 (*.f32 (exp.f32 6931/10000) (pow.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) 3)) (pow.f32 v 4))) (+.f32 (*.f32 1/2 (/.f32 (*.f32 (exp.f32 6931/10000) (pow.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) 3)) (pow.f32 v 4))) (+.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (*.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) (+.f32 (*.f32 -1 (*.f32 (exp.f32 6931/10000) (pow.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) 2))) (*.f32 1/2 (*.f32 (exp.f32 6931/10000) (pow.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) 2))))) (pow.f32 v 4)))))))
(/.f32 (exp.f32 6931/10000) (*.f32 v (exp.f32 (/.f32 1 v))))
(+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (exp.f32 6931/10000))) (*.f32 (pow.f32 v 2) (exp.f32 (/.f32 1 v))))) (/.f32 (exp.f32 6931/10000) (*.f32 v (exp.f32 (/.f32 1 v)))))
(+.f32 (*.f32 -1 (*.f32 (pow.f32 sinTheta_O 2) (+.f32 (*.f32 -1 (/.f32 (*.f32 (pow.f32 sinTheta_i 2) (exp.f32 6931/10000)) (*.f32 (pow.f32 v 3) (exp.f32 (/.f32 1 v))))) (*.f32 1/2 (/.f32 (*.f32 (pow.f32 sinTheta_i 2) (exp.f32 6931/10000)) (*.f32 (pow.f32 v 3) (exp.f32 (/.f32 1 v)))))))) (+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (exp.f32 6931/10000))) (*.f32 (pow.f32 v 2) (exp.f32 (/.f32 1 v))))) (/.f32 (exp.f32 6931/10000) (*.f32 v (exp.f32 (/.f32 1 v))))))
(+.f32 (*.f32 -1 (*.f32 (pow.f32 sinTheta_O 2) (+.f32 (*.f32 -1 (/.f32 (*.f32 (pow.f32 sinTheta_i 2) (exp.f32 6931/10000)) (*.f32 (pow.f32 v 3) (exp.f32 (/.f32 1 v))))) (*.f32 1/2 (/.f32 (*.f32 (pow.f32 sinTheta_i 2) (exp.f32 6931/10000)) (*.f32 (pow.f32 v 3) (exp.f32 (/.f32 1 v)))))))) (+.f32 (*.f32 -1 (*.f32 (pow.f32 sinTheta_O 3) (+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_i (+.f32 (*.f32 -1 (/.f32 (*.f32 (pow.f32 sinTheta_i 2) (exp.f32 6931/10000)) (*.f32 (pow.f32 v 3) (exp.f32 (/.f32 1 v))))) (*.f32 1/2 (/.f32 (*.f32 (pow.f32 sinTheta_i 2) (exp.f32 6931/10000)) (*.f32 (pow.f32 v 3) (exp.f32 (/.f32 1 v))))))) v)) (+.f32 (*.f32 -1/2 (/.f32 (*.f32 (pow.f32 sinTheta_i 3) (exp.f32 6931/10000)) (*.f32 (pow.f32 v 4) (exp.f32 (/.f32 1 v))))) (*.f32 1/6 (/.f32 (*.f32 (pow.f32 sinTheta_i 3) (exp.f32 6931/10000)) (*.f32 (pow.f32 v 4) (exp.f32 (/.f32 1 v))))))))) (+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (exp.f32 6931/10000))) (*.f32 (pow.f32 v 2) (exp.f32 (/.f32 1 v))))) (/.f32 (exp.f32 6931/10000) (*.f32 v (exp.f32 (/.f32 1 v)))))))
(/.f32 (exp.f32 6931/10000) (*.f32 v (exp.f32 (/.f32 1 v))))
(+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (exp.f32 6931/10000))) (*.f32 (pow.f32 v 2) (exp.f32 (/.f32 1 v))))) (/.f32 (exp.f32 6931/10000) (*.f32 v (exp.f32 (/.f32 1 v)))))
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(pow.f32 (pow.f32 (*.f32 (exp.f32 6931/10000) (*.f32 (exp.f32 (/.f32 -1 v)) (/.f32 1/2 v))) 3) 1/3)
(pow.f32 (sqrt.f32 (*.f32 (exp.f32 6931/10000) (*.f32 (exp.f32 (/.f32 -1 v)) (/.f32 1/2 v)))) 2)
(sqrt.f32 (pow.f32 (*.f32 (exp.f32 6931/10000) (*.f32 (exp.f32 (/.f32 -1 v)) (/.f32 1/2 v))) 2))
(log.f32 (pow.f32 (exp.f32 (exp.f32 6931/10000)) (*.f32 (exp.f32 (/.f32 -1 v)) (/.f32 1/2 v))))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (exp.f32 6931/10000) (*.f32 (exp.f32 (/.f32 -1 v)) (/.f32 1/2 v))))))
(cbrt.f32 (pow.f32 (*.f32 (exp.f32 6931/10000) (*.f32 (exp.f32 (/.f32 -1 v)) (/.f32 1/2 v))) 3))
(cbrt.f32 (*.f32 (pow.f32 (exp.f32 6931/10000) 3) (pow.f32 (*.f32 (exp.f32 (/.f32 -1 v)) (/.f32 1/2 v)) 3)))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 (exp.f32 (/.f32 -1 v)) (/.f32 1/2 v)) 3) (pow.f32 (exp.f32 6931/10000) 3)))
(expm1.f32 (log1p.f32 (*.f32 (exp.f32 6931/10000) (*.f32 (exp.f32 (/.f32 -1 v)) (/.f32 1/2 v)))))
(log1p.f32 (expm1.f32 (*.f32 (exp.f32 6931/10000) (*.f32 (exp.f32 (/.f32 -1 v)) (/.f32 1/2 v)))))
(exp.f32 (+.f32 6931/10000 (+.f32 (/.f32 -1 v) (log.f32 (/.f32 1/2 v)))))
(exp.f32 (*.f32 (+.f32 6931/10000 (+.f32 (/.f32 -1 v) (log.f32 (/.f32 1/2 v)))) 1))
Outputs
v
(+.f32 1 (+.f32 v (*.f32 sinTheta_O sinTheta_i)))
(+.f32 v (fma.f32 sinTheta_O sinTheta_i 1))
(+.f32 1 (+.f32 v (+.f32 (*.f32 1/2 (/.f32 (pow.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) 2) v)) (*.f32 sinTheta_O sinTheta_i))))
(+.f32 1 (+.f32 v (fma.f32 1/2 (/.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i 1) 2) v) (*.f32 sinTheta_O sinTheta_i))))
(+.f32 v (+.f32 (fma.f32 1/2 (/.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i 1) 2) v) (*.f32 sinTheta_O sinTheta_i)) 1))
(+.f32 1 (+.f32 v (+.f32 (*.f32 1/6 (/.f32 (pow.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) 3) (pow.f32 v 2))) (+.f32 (*.f32 1/2 (/.f32 (pow.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) 2) v)) (*.f32 sinTheta_O sinTheta_i)))))
(+.f32 1 (+.f32 v (fma.f32 1/6 (/.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i 1) 3) (pow.f32 v 2)) (fma.f32 1/2 (/.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i 1) 2) v) (*.f32 sinTheta_O sinTheta_i)))))
(+.f32 1 (+.f32 (fma.f32 1/6 (/.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i 1) 3) (pow.f32 v 2)) (*.f32 1/2 (/.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i 1) 2) v))) (fma.f32 sinTheta_O sinTheta_i v)))
v
(+.f32 1 (+.f32 v (*.f32 sinTheta_O sinTheta_i)))
(+.f32 v (fma.f32 sinTheta_O sinTheta_i 1))
(+.f32 1 (+.f32 v (+.f32 (*.f32 1/2 (/.f32 (pow.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) 2) v)) (*.f32 sinTheta_O sinTheta_i))))
(+.f32 1 (+.f32 v (fma.f32 1/2 (/.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i 1) 2) v) (*.f32 sinTheta_O sinTheta_i))))
(+.f32 v (+.f32 (fma.f32 1/2 (/.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i 1) 2) v) (*.f32 sinTheta_O sinTheta_i)) 1))
(+.f32 1 (+.f32 v (+.f32 (*.f32 1/6 (/.f32 (pow.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) 3) (pow.f32 v 2))) (+.f32 (*.f32 1/2 (/.f32 (pow.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) 2) v)) (*.f32 sinTheta_O sinTheta_i)))))
(+.f32 1 (+.f32 v (fma.f32 1/6 (/.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i 1) 3) (pow.f32 v 2)) (fma.f32 1/2 (/.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i 1) 2) v) (*.f32 sinTheta_O sinTheta_i)))))
(+.f32 1 (+.f32 (fma.f32 1/6 (/.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i 1) 3) (pow.f32 v 2)) (*.f32 1/2 (/.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i 1) 2) v))) (fma.f32 sinTheta_O sinTheta_i v)))
(*.f32 v (exp.f32 (/.f32 1 v)))
(+.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (exp.f32 (/.f32 1 v)))) (*.f32 v (exp.f32 (/.f32 1 v))))
(fma.f32 sinTheta_O (*.f32 sinTheta_i (exp.f32 (/.f32 1 v))) (*.f32 v (exp.f32 (/.f32 1 v))))
(*.f32 (exp.f32 (/.f32 1 v)) (fma.f32 sinTheta_O sinTheta_i v))
(+.f32 (*.f32 1/2 (/.f32 (*.f32 (pow.f32 sinTheta_O 2) (*.f32 (pow.f32 sinTheta_i 2) (exp.f32 (/.f32 1 v)))) v)) (+.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (exp.f32 (/.f32 1 v)))) (*.f32 v (exp.f32 (/.f32 1 v)))))
(fma.f32 1/2 (/.f32 (*.f32 (pow.f32 sinTheta_O 2) (*.f32 (exp.f32 (/.f32 1 v)) (pow.f32 sinTheta_i 2))) v) (fma.f32 sinTheta_O (*.f32 sinTheta_i (exp.f32 (/.f32 1 v))) (*.f32 v (exp.f32 (/.f32 1 v)))))
(fma.f32 1/2 (*.f32 (pow.f32 sinTheta_O 2) (/.f32 (*.f32 (exp.f32 (/.f32 1 v)) (pow.f32 sinTheta_i 2)) v)) (*.f32 (exp.f32 (/.f32 1 v)) (fma.f32 sinTheta_O sinTheta_i v)))
(+.f32 (*.f32 1/6 (/.f32 (*.f32 (pow.f32 sinTheta_O 3) (*.f32 (pow.f32 sinTheta_i 3) (exp.f32 (/.f32 1 v)))) (pow.f32 v 2))) (+.f32 (*.f32 1/2 (/.f32 (*.f32 (pow.f32 sinTheta_O 2) (*.f32 (pow.f32 sinTheta_i 2) (exp.f32 (/.f32 1 v)))) v)) (+.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (exp.f32 (/.f32 1 v)))) (*.f32 v (exp.f32 (/.f32 1 v))))))
(fma.f32 1/6 (*.f32 (pow.f32 sinTheta_O 3) (/.f32 (*.f32 (exp.f32 (/.f32 1 v)) (pow.f32 sinTheta_i 3)) (pow.f32 v 2))) (fma.f32 1/2 (/.f32 (*.f32 (pow.f32 sinTheta_O 2) (*.f32 (exp.f32 (/.f32 1 v)) (pow.f32 sinTheta_i 2))) v) (fma.f32 sinTheta_O (*.f32 sinTheta_i (exp.f32 (/.f32 1 v))) (*.f32 v (exp.f32 (/.f32 1 v))))))
(fma.f32 1/6 (*.f32 (pow.f32 sinTheta_O 3) (/.f32 (*.f32 (exp.f32 (/.f32 1 v)) (pow.f32 sinTheta_i 3)) (pow.f32 v 2))) (fma.f32 1/2 (*.f32 (pow.f32 sinTheta_O 2) (/.f32 (*.f32 (exp.f32 (/.f32 1 v)) (pow.f32 sinTheta_i 2)) v)) (*.f32 (exp.f32 (/.f32 1 v)) (fma.f32 sinTheta_O sinTheta_i v))))
(*.f32 v (exp.f32 (/.f32 1 v)))
(+.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (exp.f32 (/.f32 1 v)))) (*.f32 v (exp.f32 (/.f32 1 v))))
(fma.f32 sinTheta_O (*.f32 sinTheta_i (exp.f32 (/.f32 1 v))) (*.f32 v (exp.f32 (/.f32 1 v))))
(*.f32 (exp.f32 (/.f32 1 v)) (fma.f32 sinTheta_O sinTheta_i v))
(+.f32 (*.f32 1/2 (/.f32 (*.f32 (pow.f32 sinTheta_O 2) (*.f32 (pow.f32 sinTheta_i 2) (exp.f32 (/.f32 1 v)))) v)) (+.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (exp.f32 (/.f32 1 v)))) (*.f32 v (exp.f32 (/.f32 1 v)))))
(fma.f32 1/2 (/.f32 (*.f32 (pow.f32 sinTheta_O 2) (*.f32 (exp.f32 (/.f32 1 v)) (pow.f32 sinTheta_i 2))) v) (fma.f32 sinTheta_O (*.f32 sinTheta_i (exp.f32 (/.f32 1 v))) (*.f32 v (exp.f32 (/.f32 1 v)))))
(fma.f32 1/2 (*.f32 (pow.f32 sinTheta_O 2) (/.f32 (*.f32 (exp.f32 (/.f32 1 v)) (pow.f32 sinTheta_i 2)) v)) (*.f32 (exp.f32 (/.f32 1 v)) (fma.f32 sinTheta_O sinTheta_i v)))
(+.f32 (*.f32 1/6 (/.f32 (*.f32 (pow.f32 sinTheta_O 3) (*.f32 (pow.f32 sinTheta_i 3) (exp.f32 (/.f32 1 v)))) (pow.f32 v 2))) (+.f32 (*.f32 1/2 (/.f32 (*.f32 (pow.f32 sinTheta_O 2) (*.f32 (pow.f32 sinTheta_i 2) (exp.f32 (/.f32 1 v)))) v)) (+.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (exp.f32 (/.f32 1 v)))) (*.f32 v (exp.f32 (/.f32 1 v))))))
(fma.f32 1/6 (*.f32 (pow.f32 sinTheta_O 3) (/.f32 (*.f32 (exp.f32 (/.f32 1 v)) (pow.f32 sinTheta_i 3)) (pow.f32 v 2))) (fma.f32 1/2 (/.f32 (*.f32 (pow.f32 sinTheta_O 2) (*.f32 (exp.f32 (/.f32 1 v)) (pow.f32 sinTheta_i 2))) v) (fma.f32 sinTheta_O (*.f32 sinTheta_i (exp.f32 (/.f32 1 v))) (*.f32 v (exp.f32 (/.f32 1 v))))))
(fma.f32 1/6 (*.f32 (pow.f32 sinTheta_O 3) (/.f32 (*.f32 (exp.f32 (/.f32 1 v)) (pow.f32 sinTheta_i 3)) (pow.f32 v 2))) (fma.f32 1/2 (*.f32 (pow.f32 sinTheta_O 2) (/.f32 (*.f32 (exp.f32 (/.f32 1 v)) (pow.f32 sinTheta_i 2)) v)) (*.f32 (exp.f32 (/.f32 1 v)) (fma.f32 sinTheta_O sinTheta_i v))))
(exp.f32 (/.f32 1 v))
(+.f32 (exp.f32 (/.f32 1 v)) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (exp.f32 (/.f32 1 v)))) v))
(fma.f32 sinTheta_O (/.f32 (*.f32 sinTheta_i (exp.f32 (/.f32 1 v))) v) (exp.f32 (/.f32 1 v)))
(+.f32 (exp.f32 (/.f32 1 v)) (+.f32 (*.f32 1/2 (/.f32 (*.f32 (pow.f32 sinTheta_O 2) (*.f32 (pow.f32 sinTheta_i 2) (exp.f32 (/.f32 1 v)))) (pow.f32 v 2))) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (exp.f32 (/.f32 1 v)))) v)))
(+.f32 (exp.f32 (/.f32 1 v)) (fma.f32 1/2 (*.f32 (pow.f32 sinTheta_O 2) (/.f32 (*.f32 (exp.f32 (/.f32 1 v)) (pow.f32 sinTheta_i 2)) (pow.f32 v 2))) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (exp.f32 (/.f32 1 v)))) v)))
(+.f32 (fma.f32 sinTheta_O (/.f32 (*.f32 sinTheta_i (exp.f32 (/.f32 1 v))) v) (exp.f32 (/.f32 1 v))) (*.f32 1/2 (*.f32 (pow.f32 sinTheta_O 2) (/.f32 (*.f32 (exp.f32 (/.f32 1 v)) (pow.f32 sinTheta_i 2)) (pow.f32 v 2)))))
(+.f32 (exp.f32 (/.f32 1 v)) (+.f32 (*.f32 1/6 (/.f32 (*.f32 (pow.f32 sinTheta_O 3) (*.f32 (pow.f32 sinTheta_i 3) (exp.f32 (/.f32 1 v)))) (pow.f32 v 3))) (+.f32 (*.f32 1/2 (/.f32 (*.f32 (pow.f32 sinTheta_O 2) (*.f32 (pow.f32 sinTheta_i 2) (exp.f32 (/.f32 1 v)))) (pow.f32 v 2))) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (exp.f32 (/.f32 1 v)))) v))))
(+.f32 (exp.f32 (/.f32 1 v)) (fma.f32 1/6 (*.f32 (pow.f32 sinTheta_O 3) (/.f32 (*.f32 (exp.f32 (/.f32 1 v)) (pow.f32 sinTheta_i 3)) (pow.f32 v 3))) (fma.f32 1/2 (*.f32 (pow.f32 sinTheta_O 2) (/.f32 (*.f32 (exp.f32 (/.f32 1 v)) (pow.f32 sinTheta_i 2)) (pow.f32 v 2))) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (exp.f32 (/.f32 1 v)))) v))))
(+.f32 (fma.f32 1/6 (*.f32 (pow.f32 sinTheta_O 3) (/.f32 (*.f32 (exp.f32 (/.f32 1 v)) (pow.f32 sinTheta_i 3)) (pow.f32 v 3))) (*.f32 1/2 (*.f32 (pow.f32 sinTheta_O 2) (/.f32 (*.f32 (exp.f32 (/.f32 1 v)) (pow.f32 sinTheta_i 2)) (pow.f32 v 2))))) (fma.f32 sinTheta_O (/.f32 (*.f32 sinTheta_i (exp.f32 (/.f32 1 v))) v) (exp.f32 (/.f32 1 v))))
(exp.f32 (/.f32 1 v))
(+.f32 (exp.f32 (/.f32 1 v)) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (exp.f32 (/.f32 1 v)))) v))
(fma.f32 sinTheta_O (/.f32 (*.f32 sinTheta_i (exp.f32 (/.f32 1 v))) v) (exp.f32 (/.f32 1 v)))
(+.f32 (exp.f32 (/.f32 1 v)) (+.f32 (*.f32 1/2 (/.f32 (*.f32 (pow.f32 sinTheta_O 2) (*.f32 (pow.f32 sinTheta_i 2) (exp.f32 (/.f32 1 v)))) (pow.f32 v 2))) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (exp.f32 (/.f32 1 v)))) v)))
(+.f32 (exp.f32 (/.f32 1 v)) (fma.f32 1/2 (*.f32 (pow.f32 sinTheta_O 2) (/.f32 (*.f32 (exp.f32 (/.f32 1 v)) (pow.f32 sinTheta_i 2)) (pow.f32 v 2))) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (exp.f32 (/.f32 1 v)))) v)))
(+.f32 (fma.f32 sinTheta_O (/.f32 (*.f32 sinTheta_i (exp.f32 (/.f32 1 v))) v) (exp.f32 (/.f32 1 v))) (*.f32 1/2 (*.f32 (pow.f32 sinTheta_O 2) (/.f32 (*.f32 (exp.f32 (/.f32 1 v)) (pow.f32 sinTheta_i 2)) (pow.f32 v 2)))))
(+.f32 (exp.f32 (/.f32 1 v)) (+.f32 (*.f32 1/6 (/.f32 (*.f32 (pow.f32 sinTheta_O 3) (*.f32 (pow.f32 sinTheta_i 3) (exp.f32 (/.f32 1 v)))) (pow.f32 v 3))) (+.f32 (*.f32 1/2 (/.f32 (*.f32 (pow.f32 sinTheta_O 2) (*.f32 (pow.f32 sinTheta_i 2) (exp.f32 (/.f32 1 v)))) (pow.f32 v 2))) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (exp.f32 (/.f32 1 v)))) v))))
(+.f32 (exp.f32 (/.f32 1 v)) (fma.f32 1/6 (*.f32 (pow.f32 sinTheta_O 3) (/.f32 (*.f32 (exp.f32 (/.f32 1 v)) (pow.f32 sinTheta_i 3)) (pow.f32 v 3))) (fma.f32 1/2 (*.f32 (pow.f32 sinTheta_O 2) (/.f32 (*.f32 (exp.f32 (/.f32 1 v)) (pow.f32 sinTheta_i 2)) (pow.f32 v 2))) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (exp.f32 (/.f32 1 v)))) v))))
(+.f32 (fma.f32 1/6 (*.f32 (pow.f32 sinTheta_O 3) (/.f32 (*.f32 (exp.f32 (/.f32 1 v)) (pow.f32 sinTheta_i 3)) (pow.f32 v 3))) (*.f32 1/2 (*.f32 (pow.f32 sinTheta_O 2) (/.f32 (*.f32 (exp.f32 (/.f32 1 v)) (pow.f32 sinTheta_i 2)) (pow.f32 v 2))))) (fma.f32 sinTheta_O (/.f32 (*.f32 sinTheta_i (exp.f32 (/.f32 1 v))) v) (exp.f32 (/.f32 1 v))))
1
(+.f32 1 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(+.f32 1 (+.f32 (/.f32 1 v) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(+.f32 1 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))
(+.f32 1 (+.f32 (*.f32 1/2 (/.f32 (pow.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) 2) (pow.f32 v 2))) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(+.f32 1 (fma.f32 1/2 (/.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i 1) 2) (pow.f32 v 2)) (+.f32 (/.f32 1 v) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))))
(+.f32 1 (fma.f32 1/2 (pow.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v) 2) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))
(+.f32 1 (+.f32 (*.f32 1/6 (/.f32 (pow.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) 3) (pow.f32 v 3))) (+.f32 (*.f32 1/2 (/.f32 (pow.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) 2) (pow.f32 v 2))) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(+.f32 1 (fma.f32 1/6 (/.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i 1) 3) (pow.f32 v 3)) (fma.f32 1/2 (/.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i 1) 2) (pow.f32 v 2)) (+.f32 (/.f32 1 v) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))))
(+.f32 1 (fma.f32 1/6 (/.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i 1) 3) (pow.f32 v 3)) (fma.f32 1/2 (pow.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v) 2) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))))
1
(+.f32 1 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(+.f32 1 (+.f32 (/.f32 1 v) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(+.f32 1 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))
(+.f32 1 (+.f32 (*.f32 1/2 (/.f32 (pow.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) 2) (pow.f32 v 2))) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(+.f32 1 (fma.f32 1/2 (/.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i 1) 2) (pow.f32 v 2)) (+.f32 (/.f32 1 v) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))))
(+.f32 1 (fma.f32 1/2 (pow.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v) 2) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))
(+.f32 1 (+.f32 (*.f32 1/6 (/.f32 (pow.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) 3) (pow.f32 v 3))) (+.f32 (*.f32 1/2 (/.f32 (pow.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) 2) (pow.f32 v 2))) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(+.f32 1 (fma.f32 1/6 (/.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i 1) 3) (pow.f32 v 3)) (fma.f32 1/2 (/.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i 1) 2) (pow.f32 v 2)) (+.f32 (/.f32 1 v) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))))
(+.f32 1 (fma.f32 1/6 (/.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i 1) 3) (pow.f32 v 3)) (fma.f32 1/2 (pow.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v) 2) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))))
(/.f32 (exp.f32 6931/10000) v)
(+.f32 (*.f32 -1 (/.f32 (*.f32 (exp.f32 6931/10000) (+.f32 1 (*.f32 sinTheta_O sinTheta_i))) (pow.f32 v 2))) (/.f32 (exp.f32 6931/10000) v))
(fma.f32 -1 (*.f32 (exp.f32 6931/10000) (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) (pow.f32 v 2))) (/.f32 (exp.f32 6931/10000) v))
(-.f32 (/.f32 (exp.f32 6931/10000) v) (*.f32 (exp.f32 6931/10000) (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) (pow.f32 v 2))))
(+.f32 (*.f32 -1 (/.f32 (*.f32 (exp.f32 6931/10000) (+.f32 1 (*.f32 sinTheta_O sinTheta_i))) (pow.f32 v 2))) (+.f32 (*.f32 -1 (/.f32 (+.f32 (*.f32 -1 (*.f32 (exp.f32 6931/10000) (pow.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) 2))) (*.f32 1/2 (*.f32 (exp.f32 6931/10000) (pow.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) 2)))) (pow.f32 v 3))) (/.f32 (exp.f32 6931/10000) v)))
(fma.f32 -1 (*.f32 (exp.f32 6931/10000) (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) (pow.f32 v 2))) (fma.f32 -1 (/.f32 (*.f32 (*.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i 1) 2) (exp.f32 6931/10000)) -1/2) (pow.f32 v 3)) (/.f32 (exp.f32 6931/10000) v)))
(-.f32 (-.f32 (/.f32 (exp.f32 6931/10000) v) (/.f32 (*.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i 1) 2) (*.f32 (exp.f32 6931/10000) -1/2)) (pow.f32 v 3))) (*.f32 (exp.f32 6931/10000) (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) (pow.f32 v 2))))
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1
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1
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(log.f32 (+.f32 1 (expm1.f32 (cbrt.f32 (*.f32 (exp.f32 (/.f32 -1 v)) (/.f32 1/2 v))))))
(cbrt.f32 (*.f32 1/2 (/.f32 (exp.f32 (/.f32 -1 v)) v)))
(expm1.f32 (log1p.f32 (cbrt.f32 (*.f32 (exp.f32 (/.f32 -1 v)) (/.f32 1/2 v)))))
(expm1.f32 (log1p.f32 (cbrt.f32 (*.f32 1/2 (/.f32 (exp.f32 (/.f32 -1 v)) v)))))
(log1p.f32 (expm1.f32 (cbrt.f32 (*.f32 (exp.f32 (/.f32 -1 v)) (/.f32 1/2 v)))))
(cbrt.f32 (*.f32 1/2 (/.f32 (exp.f32 (/.f32 -1 v)) v)))
(exp.f32 (*.f32 1/3 (+.f32 (/.f32 -1 v) (log.f32 (/.f32 1/2 v)))))
(cbrt.f32 (*.f32 1/2 (/.f32 (exp.f32 (/.f32 -1 v)) v)))
(exp.f32 (*.f32 (+.f32 (/.f32 -1 v) (log.f32 (/.f32 1/2 v))) 1/3))
(cbrt.f32 (*.f32 1/2 (/.f32 (exp.f32 (/.f32 -1 v)) v)))
(exp.f32 (*.f32 (*.f32 1/3 (+.f32 (/.f32 -1 v) (log.f32 (/.f32 1/2 v)))) 1))
(cbrt.f32 (*.f32 1/2 (/.f32 (exp.f32 (/.f32 -1 v)) v)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (exp.f32 (/.f32 -1 v)) (/.f32 1/2 v)))) 1)
(expm1.f32 (log1p.f32 (*.f32 1/2 (/.f32 (exp.f32 (/.f32 -1 v)) v))))
(/.f32 (*.f32 1/2 (exp.f32 (/.f32 -1 v))) v)
(*.f32 1/2 (/.f32 (exp.f32 (/.f32 -1 v)) v))
(/.f32 (neg.f32 (*.f32 1/2 (exp.f32 (/.f32 -1 v)))) (neg.f32 v))
(*.f32 1/2 (/.f32 (exp.f32 (/.f32 -1 v)) v))
(pow.f32 (*.f32 (exp.f32 (/.f32 -1 v)) (/.f32 1/2 v)) 1)
(*.f32 1/2 (/.f32 (exp.f32 (/.f32 -1 v)) v))
(pow.f32 (cbrt.f32 (*.f32 (exp.f32 (/.f32 -1 v)) (/.f32 1/2 v))) 3)
(*.f32 1/2 (/.f32 (exp.f32 (/.f32 -1 v)) v))
(pow.f32 (cbrt.f32 (pow.f32 (*.f32 (exp.f32 (/.f32 -1 v)) (/.f32 1/2 v)) 2)) 3/2)
(pow.f32 (cbrt.f32 (pow.f32 (*.f32 1/2 (/.f32 (exp.f32 (/.f32 -1 v)) v)) 2)) 3/2)
(pow.f32 (cbrt.f32 (*.f32 1/4 (pow.f32 (/.f32 (exp.f32 (/.f32 -1 v)) v) 2))) 3/2)
(pow.f32 (pow.f32 (*.f32 (exp.f32 (/.f32 -1 v)) (/.f32 1/2 v)) 3) 1/3)
(*.f32 1/2 (/.f32 (exp.f32 (/.f32 -1 v)) v))
(pow.f32 (sqrt.f32 (*.f32 (exp.f32 (/.f32 -1 v)) (/.f32 1/2 v))) 2)
(*.f32 1/2 (/.f32 (exp.f32 (/.f32 -1 v)) v))
(sqrt.f32 (pow.f32 (*.f32 (exp.f32 (/.f32 -1 v)) (/.f32 1/2 v)) 2))
(sqrt.f32 (pow.f32 (*.f32 1/2 (/.f32 (exp.f32 (/.f32 -1 v)) v)) 2))
(fabs.f32 (*.f32 1/2 (/.f32 (exp.f32 (/.f32 -1 v)) v)))
(log.f32 (pow.f32 (exp.f32 (exp.f32 (/.f32 -1 v))) (/.f32 1/2 v)))
(*.f32 1/2 (/.f32 (exp.f32 (/.f32 -1 v)) v))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (exp.f32 (/.f32 -1 v)) (/.f32 1/2 v)))))
(*.f32 1/2 (/.f32 (exp.f32 (/.f32 -1 v)) v))
(cbrt.f32 (pow.f32 (*.f32 (exp.f32 (/.f32 -1 v)) (/.f32 1/2 v)) 3))
(*.f32 1/2 (/.f32 (exp.f32 (/.f32 -1 v)) v))
(cbrt.f32 (*.f32 (pow.f32 (exp.f32 (/.f32 -1 v)) 3) (pow.f32 (/.f32 1/2 v) 3)))
(*.f32 1/2 (/.f32 (exp.f32 (/.f32 -1 v)) v))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 1/2 v) 3) (pow.f32 (exp.f32 (/.f32 -1 v)) 3)))
(*.f32 1/2 (/.f32 (exp.f32 (/.f32 -1 v)) v))
(expm1.f32 (log1p.f32 (*.f32 (exp.f32 (/.f32 -1 v)) (/.f32 1/2 v))))
(expm1.f32 (log1p.f32 (*.f32 1/2 (/.f32 (exp.f32 (/.f32 -1 v)) v))))
(log1p.f32 (expm1.f32 (*.f32 (exp.f32 (/.f32 -1 v)) (/.f32 1/2 v))))
(*.f32 1/2 (/.f32 (exp.f32 (/.f32 -1 v)) v))
(exp.f32 (+.f32 (/.f32 -1 v) (log.f32 (/.f32 1/2 v))))
(*.f32 1/2 (/.f32 (exp.f32 (/.f32 -1 v)) v))
(exp.f32 (*.f32 (+.f32 (/.f32 -1 v) (log.f32 (/.f32 1/2 v))) 1))
(*.f32 1/2 (/.f32 (exp.f32 (/.f32 -1 v)) v))
(-.f32 (exp.f32 (log1p.f32 (exp.f32 (/.f32 -1 v)))) 1)
(expm1.f32 (log1p.f32 (exp.f32 (/.f32 -1 v))))
(*.f32 1 (exp.f32 (/.f32 -1 v)))
(exp.f32 (/.f32 -1 v))
(*.f32 (pow.f32 (cbrt.f32 (exp.f32 (/.f32 -1 v))) 2) (cbrt.f32 (exp.f32 (/.f32 -1 v))))
(exp.f32 (/.f32 -1 v))
(*.f32 (sqrt.f32 (exp.f32 (/.f32 -1 v))) (sqrt.f32 (exp.f32 (/.f32 -1 v))))
(exp.f32 (/.f32 -1 v))
(pow.f32 (exp.f32 (/.f32 -1 v)) 1)
(exp.f32 (/.f32 -1 v))
(pow.f32 (E.f32) (/.f32 -1 v))
(pow.f32 (cbrt.f32 (exp.f32 (/.f32 -1 v))) 3)
(exp.f32 (/.f32 -1 v))
(pow.f32 (pow.f32 (exp.f32 (/.f32 -1 v)) 3) 1/3)
(exp.f32 (/.f32 -1 v))
(pow.f32 (sqrt.f32 (exp.f32 (/.f32 -1 v))) 2)
(exp.f32 (/.f32 -1 v))
(pow.f32 (exp.f32 -1) (/.f32 1 v))
(pow.f32 (exp.f32 (cbrt.f32 (/.f32 1 (pow.f32 v 2)))) (cbrt.f32 (/.f32 -1 v)))
(pow.f32 (exp.f32 (sqrt.f32 (/.f32 -1 v))) (sqrt.f32 (/.f32 -1 v)))
(sqrt.f32 (pow.f32 (exp.f32 (/.f32 -1 v)) 2))
(fabs.f32 (exp.f32 (/.f32 -1 v)))
(log.f32 (exp.f32 (exp.f32 (/.f32 -1 v))))
(exp.f32 (/.f32 -1 v))
(log.f32 (+.f32 1 (expm1.f32 (exp.f32 (/.f32 -1 v)))))
(exp.f32 (/.f32 -1 v))
(cbrt.f32 (pow.f32 (exp.f32 (/.f32 -1 v)) 3))
(exp.f32 (/.f32 -1 v))
(expm1.f32 (log1p.f32 (exp.f32 (/.f32 -1 v))))
(log1p.f32 (expm1.f32 (exp.f32 (/.f32 -1 v))))
(exp.f32 (/.f32 -1 v))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (exp.f32 6931/10000) (*.f32 (exp.f32 (/.f32 -1 v)) (/.f32 1/2 v))))) 1)
(expm1.f32 (log1p.f32 (*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (/.f32 1/2 v))))
(expm1.f32 (log1p.f32 (*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v))))
(pow.f32 (*.f32 (exp.f32 6931/10000) (*.f32 (exp.f32 (/.f32 -1 v)) (/.f32 1/2 v))) 1)
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v))
(pow.f32 (cbrt.f32 (*.f32 (exp.f32 6931/10000) (*.f32 (exp.f32 (/.f32 -1 v)) (/.f32 1/2 v)))) 3)
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v))
(pow.f32 (pow.f32 (*.f32 (exp.f32 6931/10000) (*.f32 (exp.f32 (/.f32 -1 v)) (/.f32 1/2 v))) 3) 1/3)
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v))
(pow.f32 (sqrt.f32 (*.f32 (exp.f32 6931/10000) (*.f32 (exp.f32 (/.f32 -1 v)) (/.f32 1/2 v)))) 2)
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v))
(sqrt.f32 (pow.f32 (*.f32 (exp.f32 6931/10000) (*.f32 (exp.f32 (/.f32 -1 v)) (/.f32 1/2 v))) 2))
(sqrt.f32 (pow.f32 (*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (/.f32 1/2 v)) 2))
(fabs.f32 (*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)))
(log.f32 (pow.f32 (exp.f32 (exp.f32 6931/10000)) (*.f32 (exp.f32 (/.f32 -1 v)) (/.f32 1/2 v))))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (exp.f32 6931/10000) (*.f32 (exp.f32 (/.f32 -1 v)) (/.f32 1/2 v))))))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v))
(cbrt.f32 (pow.f32 (*.f32 (exp.f32 6931/10000) (*.f32 (exp.f32 (/.f32 -1 v)) (/.f32 1/2 v))) 3))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v))
(cbrt.f32 (*.f32 (pow.f32 (exp.f32 6931/10000) 3) (pow.f32 (*.f32 (exp.f32 (/.f32 -1 v)) (/.f32 1/2 v)) 3)))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 (exp.f32 (/.f32 -1 v)) (/.f32 1/2 v)) 3) (pow.f32 (exp.f32 6931/10000) 3)))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v))
(expm1.f32 (log1p.f32 (*.f32 (exp.f32 6931/10000) (*.f32 (exp.f32 (/.f32 -1 v)) (/.f32 1/2 v)))))
(expm1.f32 (log1p.f32 (*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (/.f32 1/2 v))))
(expm1.f32 (log1p.f32 (*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v))))
(log1p.f32 (expm1.f32 (*.f32 (exp.f32 6931/10000) (*.f32 (exp.f32 (/.f32 -1 v)) (/.f32 1/2 v)))))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v))
(exp.f32 (+.f32 6931/10000 (+.f32 (/.f32 -1 v) (log.f32 (/.f32 1/2 v)))))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v))
(exp.f32 (*.f32 (+.f32 6931/10000 (+.f32 (/.f32 -1 v) (log.f32 (/.f32 1/2 v)))) 1))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v))

eval413.0ms (3.1%)

Compiler

Compiled 20491 to 14446 computations (29.5% saved)

prune182.0ms (1.4%)

Pruning

18 alts after pruning (13 fresh and 5 done)

PrunedKeptTotal
New75010760
Fresh235
Picked325
Done235
Total75718775
Accuracy
99.9%
Counts
775 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.4%
(pow.f32 (exp.f32 1) (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)))))
99.2%
(/.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v) -6931/10000)))
98.8%
(/.f32 1 (/.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)) (pow.f32 (sqrt.f32 (*.f32 (/.f32 (exp.f32 6931/10000) v) 1/2)) 2)))
98.8%
(/.f32 1 (/.f32 (exp.f32 (/.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) v)) (*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))))
99.3%
(/.f32 1 (*.f32 v (*.f32 (exp.f32 (-.f32 (/.f32 1 v) 6931/10000)) 2)))
99.3%
(*.f32 (/.f32 1/2 v) (pow.f32 (sqrt.f32 (E.f32)) (*.f32 2 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 6931/10000 (/.f32 -1 v))))))
99.4%
(*.f32 (/.f32 1/2 v) (pow.f32 (E.f32) (-.f32 6931/10000 (+.f32 (/.f32 1 v) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))))
99.3%
(*.f32 (/.f32 1/2 v) (pow.f32 (E.f32) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (/.f32 (-.f32 (/.f32 1 (pow.f32 v 2)) 48038761/100000000) (-.f32 (/.f32 -1 v) 6931/10000)))))
99.2%
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))
99.4%
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (neg.f32 (/.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) v)))))
99.2%
(*.f32 (exp.f32 6931/10000) (pow.f32 (pow.f32 (*.f32 (exp.f32 (/.f32 -1 v)) (/.f32 1/2 v)) 1/3) 3))
99.0%
(*.f32 (exp.f32 6931/10000) (/.f32 (/.f32 1/2 v) (exp.f32 (/.f32 1 v))))
98.6%
(*.f32 1/2 (/.f32 (pow.f32 (E.f32) (/.f32 -1 v)) v))
98.6%
(*.f32 1/2 (/.f32 (exp.f32 (/.f32 -1 v)) v))
99.6%
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))
99.6%
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) (*.f32 v (pow.f32 (exp.f32 (fma.f32 sinTheta_O sinTheta_i 1)) (/.f32 1 v)))))
99.6%
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) (*.f32 v (exp.f32 (/.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) v)))))
4.6%
(*.f32 1/2 (/.f32 1 v))
Compiler

Compiled 959 to 700 computations (27% saved)

regimes130.0ms (1%)

Counts
36 → 1
Calls
Call 1
Inputs
(*.f32 1/2 (/.f32 1 v))
(*.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))))
(*.f32 1/2 (/.f32 (exp.f32 (/.f32 -1 v)) v))
(*.f32 1/2 (/.f32 (pow.f32 (E.f32) (/.f32 -1 v)) v))
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))
(/.f32 1 (*.f32 v (*.f32 (exp.f32 (-.f32 (/.f32 1 v) 6931/10000)) 2)))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (neg.f32 (/.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) 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 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(*.f32 (/.f32 1/2 v) (pow.f32 (E.f32) (-.f32 6931/10000 (+.f32 (/.f32 1 v) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))))
(*.f32 (/.f32 1/2 v) (pow.f32 (E.f32) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 (/.f32 -1 v) 6931/10000))))
(*.f32 (exp.f32 6931/10000) (/.f32 (/.f32 1/2 v) (exp.f32 (/.f32 1 v))))
(/.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v) -6931/10000)))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) (*.f32 v (exp.f32 (/.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_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 1 (/.f32 (exp.f32 (/.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) v)) (*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))))
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (+.f32 6931/10000 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))))
(*.f32 (/.f32 1/2 v) (*.f32 (exp.f32 6931/10000) (exp.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)))))
(exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
(*.f32 (/.f32 1/2 v) (pow.f32 (sqrt.f32 (E.f32)) (*.f32 2 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 6931/10000 (/.f32 -1 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) (pow.f32 (E.f32) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (/.f32 (-.f32 (/.f32 1 (pow.f32 v 2)) 48038761/100000000) (-.f32 (/.f32 -1 v) 6931/10000)))))
(/.f32 (*.f32 (/.f32 (exp.f32 6931/10000) v) -1/2) (neg.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))))
(*.f32 (exp.f32 6931/10000) (/.f32 (/.f32 1/2 v) (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))))
(/.f32 1 (/.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)) (*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))))
(pow.f32 (exp.f32 1) (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)))))
(*.f32 (exp.f32 6931/10000) (pow.f32 (cbrt.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (/.f32 -1 v)))) 3))
(*.f32 (exp.f32 6931/10000) (pow.f32 (pow.f32 (*.f32 (exp.f32 (/.f32 -1 v)) (/.f32 1/2 v)) 1/3) 3))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) (*.f32 v (pow.f32 (exp.f32 (fma.f32 sinTheta_O sinTheta_i 1)) (/.f32 1 v)))))
(/.f32 (*.f32 (/.f32 (exp.f32 6931/10000) v) -1/2) (neg.f32 (pow.f32 (exp.f32 (fma.f32 sinTheta_O sinTheta_i 1)) (/.f32 1 v))))
(*.f32 (exp.f32 6931/10000) (pow.f32 (cbrt.f32 (/.f32 (/.f32 1/2 v) (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))) 3))
(/.f32 1 (/.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)) (pow.f32 (sqrt.f32 (*.f32 (/.f32 (exp.f32 6931/10000) v) 1/2)) 2)))
(exp.f32 (/.f32 (-.f32 (*.f32 (-.f32 48038761/100000000 (pow.f32 (log.f32 (/.f32 1/2 v)) 2)) (/.f32 (-.f32 1 (*.f32 sinTheta_O sinTheta_i)) v)) (*.f32 (-.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (-.f32 (pow.f32 v -2) (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) 2)))) (*.f32 (-.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (-.f32 1 (*.f32 sinTheta_O sinTheta_i)) v))))
Outputs
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) (*.f32 v (pow.f32 (exp.f32 (fma.f32 sinTheta_O sinTheta_i 1)) (/.f32 1 v)))))
Calls

9 calls:

22.0ms
sinTheta_i
17.0ms
cosTheta_i
17.0ms
sinTheta_O
16.0ms
cosTheta_O
16.0ms
v
Results
AccuracySegmentsBranch
99.6%1cosTheta_i
99.6%1cosTheta_O
99.6%1sinTheta_i
99.6%1sinTheta_O
99.6%1v
99.6%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)))))
99.6%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))))
99.6%1(*.f32 cosTheta_i cosTheta_O)
99.6%1(*.f32 sinTheta_i sinTheta_O)
Compiler

Compiled 105 to 80 computations (23.8% saved)

regimes109.0ms (0.8%)

Counts
31 → 1
Calls
Call 1
Inputs
(*.f32 1/2 (/.f32 1 v))
(*.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))))
(*.f32 1/2 (/.f32 (exp.f32 (/.f32 -1 v)) v))
(*.f32 1/2 (/.f32 (pow.f32 (E.f32) (/.f32 -1 v)) v))
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))
(/.f32 1 (*.f32 v (*.f32 (exp.f32 (-.f32 (/.f32 1 v) 6931/10000)) 2)))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (neg.f32 (/.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) 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 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(*.f32 (/.f32 1/2 v) (pow.f32 (E.f32) (-.f32 6931/10000 (+.f32 (/.f32 1 v) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))))
(*.f32 (/.f32 1/2 v) (pow.f32 (E.f32) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 (/.f32 -1 v) 6931/10000))))
(*.f32 (exp.f32 6931/10000) (/.f32 (/.f32 1/2 v) (exp.f32 (/.f32 1 v))))
(/.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v) -6931/10000)))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) (*.f32 v (exp.f32 (/.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_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 1 (/.f32 (exp.f32 (/.f32 (+.f32 1 (*.f32 sinTheta_O sinTheta_i)) v)) (*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))))
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (+.f32 6931/10000 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))))
(*.f32 (/.f32 1/2 v) (*.f32 (exp.f32 6931/10000) (exp.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)))))
(exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 1 v))) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
(*.f32 (/.f32 1/2 v) (pow.f32 (sqrt.f32 (E.f32)) (*.f32 2 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 6931/10000 (/.f32 -1 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) (pow.f32 (E.f32) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (/.f32 (-.f32 (/.f32 1 (pow.f32 v 2)) 48038761/100000000) (-.f32 (/.f32 -1 v) 6931/10000)))))
(/.f32 (*.f32 (/.f32 (exp.f32 6931/10000) v) -1/2) (neg.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v))))
(*.f32 (exp.f32 6931/10000) (/.f32 (/.f32 1/2 v) (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)))))
(/.f32 1 (/.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i 1) v)) (*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))))
(pow.f32 (exp.f32 1) (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)))))
(*.f32 (exp.f32 6931/10000) (pow.f32 (cbrt.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (/.f32 -1 v)))) 3))
(*.f32 (exp.f32 6931/10000) (pow.f32 (pow.f32 (*.f32 (exp.f32 (/.f32 -1 v)) (/.f32 1/2 v)) 1/3) 3))
Outputs
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))
Calls

9 calls:

15.0ms
cosTheta_O
15.0ms
sinTheta_i
14.0ms
sinTheta_O
14.0ms
cosTheta_i
14.0ms
v
Results
AccuracySegmentsBranch
99.6%1cosTheta_i
99.6%1cosTheta_O
99.6%1sinTheta_i
99.6%1sinTheta_O
99.6%1v
99.6%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)))))
99.6%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))))
99.6%1(*.f32 cosTheta_i cosTheta_O)
99.6%1(*.f32 sinTheta_i sinTheta_O)
Compiler

Compiled 105 to 80 computations (23.8% saved)

regimes25.0ms (0.2%)

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

5 calls:

6.0ms
cosTheta_i
5.0ms
sinTheta_O
5.0ms
sinTheta_i
5.0ms
cosTheta_O
4.0ms
v
Results
AccuracySegmentsBranch
98.6%1cosTheta_O
98.6%1cosTheta_i
98.6%1sinTheta_i
98.6%1sinTheta_O
98.6%1v
Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes23.0ms (0.2%)

Counts
5 → 1
Calls
Call 1
Inputs
(*.f32 1/2 (/.f32 1 v))
(*.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))))
(*.f32 1/2 (/.f32 (exp.f32 (/.f32 -1 v)) v))
Outputs
(*.f32 1/2 (/.f32 (exp.f32 (/.f32 -1 v)) v))
Calls

5 calls:

5.0ms
cosTheta_O
5.0ms
v
4.0ms
sinTheta_i
4.0ms
sinTheta_O
4.0ms
cosTheta_i
Results
AccuracySegmentsBranch
98.6%1cosTheta_i
98.6%1cosTheta_O
98.6%1sinTheta_i
98.6%1sinTheta_O
98.6%1v
Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes20.0ms (0.2%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
4 → 1
Calls
Call 1
Inputs
(*.f32 1/2 (/.f32 1 v))
(*.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 1/2 (/.f32 1 v))
Calls

5 calls:

4.0ms
v
4.0ms
cosTheta_O
4.0ms
sinTheta_O
4.0ms
cosTheta_i
4.0ms
sinTheta_i
Results
AccuracySegmentsBranch
4.6%1cosTheta_i
4.6%1cosTheta_O
4.6%1sinTheta_i
4.6%1sinTheta_O
4.6%1v
Compiler

Compiled 30 to 25 computations (16.7% saved)

simplify7.0ms (0%)

Algorithm
egg-herbie
Rules
*-commutative
sub-neg
1-exp
neg-sub0
neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036172
150172
257172
363172
471172
572172
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) (*.f32 v (pow.f32 (exp.f32 (fma.f32 sinTheta_O sinTheta_i 1)) (/.f32 1 v)))))
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))
(*.f32 1/2 (/.f32 (pow.f32 (E.f32) (/.f32 -1 v)) v))
(*.f32 1/2 (/.f32 (exp.f32 (/.f32 -1 v)) v))
(*.f32 1/2 (/.f32 1 v))
Outputs
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) (*.f32 v (pow.f32 (exp.f32 (fma.f32 sinTheta_O sinTheta_i 1)) (/.f32 1 v)))))
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v))
(*.f32 1/2 (/.f32 (pow.f32 (E.f32) (/.f32 -1 v)) v))
(*.f32 1/2 (/.f32 (exp.f32 (/.f32 -1 v)) v))
(*.f32 1/2 (/.f32 1 v))
Compiler

Compiled 73 to 62 computations (15.1% saved)

soundness999.0ms (7.6%)

Rules
919×fma-define
450×fma-neg
450×fma-neg
366×associate-+l-
366×associate-+l-
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01732130
14921898
215301854
366481854
043662
1723640
0149647906
1439242884
049526
1816518
01732130
14921898
215301854
366481854
049526
1816518
Stop Event
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 1135 to 701 computations (38.2% saved)

end0.0ms (0%)

preprocess91.0ms (0.7%)

Remove

(sort sinTheta_i sinTheta_O)

(sort cosTheta_i cosTheta_O)

Compiler

Compiled 670 to 536 computations (20% saved)

Profiling

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