HairBSDF, Mp, lower

Time bar (total: 19.8s)

analyze810.0ms (4.1%)

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 (15.4%)

Results
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Bogosity

preprocess933.0ms (4.7%)

Algorithm
egg-herbie
Rules
795×exp-diff
750×times-frac
457×fma-neg
330×fma-define
276×associate-+l-
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
913(-1.2289657521312702e-33 2.5293779685212326e-24 1.7848705310380006e-23 2.466111936882953e-6 2.1962746291764867e-12)28(-3.892809375971885e-37 4.0813837642872386e-8 -9.29961963843543e-36 5.928898604747121e-26 4.730983826470993e-18)(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
893(-3.3661228184242966e-31 -1.6555668314452851e-31 2.541063061198526e-28 6.990709899403285e-23 6.44803458271781e-6)25(-1.579170429977239e-7 2.4162399172938075e-14 -2.8093551790453475e-11 3.7292525219058454e-33 4.165491883478435e-34)(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
11(-5.738409569744363e-8 3.408765815566054e-32 -3.30108244327861e-27 9.1301281935712e-30 0.005021638236939907)1(-1.2513052739567317e-20 3.2925615129070587e-26 -1.1142699615696082e-20 3.496249689760589e-7 0.014186524786055088)(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)))))
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-(log.f32 (/.f32 1 (*.f32 2 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
14851898
214481854
357471854
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 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))) 6931/10000)))
(*.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)))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i 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 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))) 6931/10000)))
(*.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)))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i 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 cosTheta_i (/.f32 (neg.f32 cosTheta_O) v)) (-.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)) 6931/10000))))
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (-.f32 6931/10000 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))))
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (-.f32 6931/10000 (*.f32 cosTheta_O (/.f32 cosTheta_i v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 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 cosTheta_i (/.f32 (neg.f32 cosTheta_O) v)) (-.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)) 6931/10000))))
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (-.f32 6931/10000 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))))
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (-.f32 6931/10000 (*.f32 cosTheta_O (/.f32 cosTheta_i v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 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 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 (/.f32 (*.f32 sinTheta_i (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 (+.f32 6931/10000 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.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 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 (/.f32 (*.f32 sinTheta_i (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 (+.f32 6931/10000 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.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 cosTheta_i (/.f32 (neg.f32 cosTheta_O) v)) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))) (/.f32 -1/2 v))
(*.f32 (exp.f32 (+.f32 6931/10000 (fma.f32 cosTheta_i (/.f32 (neg.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_O (/.f32 cosTheta_i 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 cosTheta_i (/.f32 (neg.f32 cosTheta_O) v)) (-.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)) 6931/10000))) (/.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 (-.f32 6931/10000 (*.f32 cosTheta_O (/.f32 cosTheta_i 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 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 cosTheta_i (/.f32 (neg.f32 cosTheta_O) v)) (-.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)) 6931/10000))) (/.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 (-.f32 6931/10000 (*.f32 cosTheta_O (/.f32 cosTheta_i 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 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 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 (/.f32 (*.f32 sinTheta_i (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 (+.f32 6931/10000 (fma.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 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 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 (/.f32 (*.f32 sinTheta_i (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 (+.f32 6931/10000 (fma.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 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 cosTheta_i (/.f32 (neg.f32 cosTheta_O) v)) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))))) (neg.f32 (/.f32 -1/2 v)))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (fma.f32 cosTheta_i (/.f32 (neg.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_O (/.f32 cosTheta_i 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 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))) 6931/10000)))
(*.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)))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i 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 6931/10000 (*.f32 cosTheta_O (/.f32 sinTheta_i v))) (fma.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 6931/10000 (-.f32 (*.f32 cosTheta_O (/.f32 sinTheta_i v)) (fma.f32 cosTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 sinTheta_O cosTheta_O) v) (/.f32 (*.f32 sinTheta_i cosTheta_i) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v)))))
(exp.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_O (/.f32 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))))))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (fma.f32 cosTheta_O (/.f32 sinTheta_O v) (neg.f32 (fma.f32 sinTheta_i (/.f32 cosTheta_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 (*.f32 cosTheta_O (/.f32 v cosTheta_i)) (-.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O cosTheta_i) (/.f32 1 cosTheta_i)) 6931/10000))) (/.f32 1/2 cosTheta_i))
(*.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 v (/.f32 cosTheta_O cosTheta_i)) (fma.f32 sinTheta_i (/.f32 sinTheta_O cosTheta_i) (/.f32 1 cosTheta_i))))) (/.f32 1/2 cosTheta_i))
(*.f32 (exp.f32 (-.f32 (*.f32 cosTheta_O (/.f32 v cosTheta_i)) (+.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i cosTheta_i) (/.f32 1 cosTheta_i)) -6931/10000))) (/.f32 1/2 cosTheta_i))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i sinTheta_i) v) (/.f32 (*.f32 cosTheta_O sinTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v)))))
(exp.f32 (+.f32 (log.f32 (/.f32 1/2 v)) (+.f32 6931/10000 (-.f32 (*.f32 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 (*.f32 cosTheta_i (/.f32 sinTheta_i v)) (-.f32 (fma.f32 sinTheta_O (/.f32 cosTheta_O v) (/.f32 1 v)) 6931/10000))))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 sinTheta_i v)) (fma.f32 sinTheta_O (/.f32 cosTheta_O v) (/.f32 1 v))))))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (fma.f32 cosTheta_i (/.f32 sinTheta_i v) (fma.f32 cosTheta_O (/.f32 sinTheta_O (neg.f32 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 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 sinTheta_O v)) (fma.f32 sinTheta_i (/.f32 cosTheta_O v) (/.f32 1 v))))))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (fma.f32 cosTheta_i (/.f32 sinTheta_O v) (fma.f32 sinTheta_i (/.f32 (neg.f32 cosTheta_O) v) (/.f32 -1 v))))))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (fma.f32 cosTheta_i (/.f32 sinTheta_O v) (fma.f32 (neg.f32 sinTheta_i) (/.f32 cosTheta_O v) (/.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 (+.f32 6931/10000 (*.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))
(*.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 v cosTheta_O)) (fma.f32 sinTheta_O (/.f32 sinTheta_i cosTheta_O) (/.f32 1 cosTheta_O))))) (/.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 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v))) 6931/10000)))
(*.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)))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i 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 (*.f32 cosTheta_i (/.f32 cosTheta_O sinTheta_i)) (-.f32 (fma.f32 v (/.f32 sinTheta_O sinTheta_i) (/.f32 1 sinTheta_i)) 6931/10000))) (/.f32 1/2 sinTheta_i))
(*.f32 (exp.f32 (+.f32 6931/10000 (fma.f32 cosTheta_i (/.f32 cosTheta_O sinTheta_i) (fma.f32 v (/.f32 sinTheta_O (neg.f32 sinTheta_i)) (/.f32 -1 sinTheta_i))))) (/.f32 1/2 sinTheta_i))
(*.f32 (exp.f32 (+.f32 6931/10000 (-.f32 (*.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 (+.f32 6931/10000 (*.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 6931/10000 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O sinTheta_O)) (fma.f32 v (/.f32 sinTheta_i sinTheta_O) (/.f32 1 sinTheta_O))))) (/.f32 1/2 sinTheta_O))
(*.f32 (exp.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O 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 91 to 53 computations (41.8% saved)

prune2.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(*.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)))
99.7%
(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)

localize492.0ms (2.5%)

Localize:

Found 8 expressions with local error:

NewAccuracyProgram
99.9%
(+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))) 6931/10000)
99.9%
(*.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)))
99.8%
(exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))) 6931/10000))
99.4%
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
99.8%
(+.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))))
99.8%
(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)))))
99.5%
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
99.4%
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
Compiler

Compiled 216 to 90 computations (58.3% saved)

series136.0ms (0.7%)

Counts
8 → 408
Calls

102 calls:

TimeVariablePointExpression
8.0ms
cosTheta_i
@0
(+.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))))
7.0ms
v
@-inf
(+.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))))
5.0ms
sinTheta_O
@0
(+.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))))
5.0ms
cosTheta_i
@0
(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)))))
4.0ms
v
@0
(+.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))))

rewrite367.0ms (1.9%)

Algorithm
batch-egg-rewrite
Rules
562×log1p-expm1-u
229×expm1-log1p-u
218×add-exp-log
217×add-log-exp
216×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
035465
1518432
27461432
Stop Event
node limit
Counts
8 → 268
Calls
Call 1
Inputs
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(*.f32 sinTheta_i (/.f32 sinTheta_O 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 (*.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))
(exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))) 6931/10000))
(*.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)))
(+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))) 6931/10000)
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 (neg.f32 cosTheta_O)) (neg.f32 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 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) 3) 1/3)
(pow.f32 (sqrt.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) 2)
(sqrt.f32 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) 2))
(log.f32 (pow.f32 (exp.f32 (/.f32 cosTheta_O v)) cosTheta_i))
(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 (neg.f32 sinTheta_O)) (neg.f32 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))))
(exp.f32 (*.f32 (log.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v))) 1))
(-.f32 (exp.f32 (log1p.f32 (*.f32 1/2 (/.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000)) v)))) 1)
(*.f32 1 (*.f32 1/2 (/.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000)) v)))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000)) v))
(*.f32 1/2 (*.f32 (/.f32 1 v) (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000))))
(*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000)))
(*.f32 (*.f32 1/2 (/.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000)) v)) 1)
(*.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000)) (/.f32 1/2 v))
(*.f32 (exp.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v))) (*.f32 (/.f32 1/2 v) (exp.f32 6931/10000)))
(*.f32 (*.f32 (/.f32 1/2 v) (exp.f32 6931/10000)) (exp.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v))))
(*.f32 (pow.f32 (cbrt.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000))) 2) (*.f32 (cbrt.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000))) (/.f32 1/2 v)))
(*.f32 (cbrt.f32 (*.f32 1/2 (/.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000)) v))) (pow.f32 (cbrt.f32 (*.f32 1/2 (/.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000)) v))) 2))
(*.f32 (pow.f32 (cbrt.f32 (*.f32 1/2 (/.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000)) v))) 2) (cbrt.f32 (*.f32 1/2 (/.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000)) v))))
(*.f32 (pow.f32 (cbrt.f32 (/.f32 1/2 v)) 2) (*.f32 (cbrt.f32 (/.f32 1/2 v)) (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000))))
(*.f32 (sqrt.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000))) (*.f32 (sqrt.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000))) (/.f32 1/2 v)))
(*.f32 (sqrt.f32 (*.f32 1/2 (/.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000)) v))) (sqrt.f32 (*.f32 1/2 (/.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000)) v))))
(*.f32 (sqrt.f32 (/.f32 1/2 v)) (*.f32 (sqrt.f32 (/.f32 1/2 v)) (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000))))
(*.f32 (*.f32 1/2 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000))) (/.f32 1 v))
(*.f32 (/.f32 1/2 (pow.f32 (cbrt.f32 v) 2)) (/.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000)) (cbrt.f32 v)))
(*.f32 (/.f32 1/2 (sqrt.f32 v)) (/.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000)) (sqrt.f32 v)))
(*.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)))) (exp.f32 6931/10000))
(*.f32 (*.f32 (/.f32 1/2 v) (pow.f32 (cbrt.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000))) 2)) (cbrt.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000))))
(*.f32 (*.f32 (/.f32 1/2 v) (sqrt.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000)))) (sqrt.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000))))
(*.f32 (*.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000)) (pow.f32 (cbrt.f32 (/.f32 1/2 v)) 2)) (cbrt.f32 (/.f32 1/2 v)))
(*.f32 (*.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000)) (sqrt.f32 (/.f32 1/2 v))) (sqrt.f32 (/.f32 1/2 v)))
(/.f32 1 (/.f32 v (*.f32 1/2 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000)))))
(/.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000)) (*.f32 v 2))
(/.f32 (pow.f32 (exp.f32 (/.f32 cosTheta_O v)) cosTheta_i) (exp.f32 (-.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000) (log.f32 (/.f32 1/2 v)))))
(/.f32 (*.f32 1/2 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000))) v)
(/.f32 (neg.f32 (*.f32 1/2 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000)))) (neg.f32 v))
(/.f32 (*.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000)) -1/2) (neg.f32 v))
(/.f32 (*.f32 -1/2 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000))) (neg.f32 v))
(/.f32 (/.f32 (*.f32 1/2 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000))) 1) v)
(/.f32 (/.f32 (*.f32 1/2 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000))) (pow.f32 (cbrt.f32 v) 2)) (cbrt.f32 v))
(/.f32 (/.f32 (*.f32 1/2 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000))) (sqrt.f32 v)) (sqrt.f32 v))
(pow.f32 (*.f32 1/2 (/.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000)) v)) 1)
(pow.f32 (cbrt.f32 (*.f32 1/2 (/.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000)) v))) 3)
(pow.f32 (pow.f32 (*.f32 1/2 (/.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000)) v)) 3) 1/3)
(pow.f32 (sqrt.f32 (*.f32 1/2 (/.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000)) v))) 2)
(pow.f32 (exp.f32 1) (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 1 v) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 1 v) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))) 2)) (cbrt.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 1 v) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))))
(pow.f32 (exp.f32 (sqrt.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 1 v) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))))) (sqrt.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 1 v) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))))
(sqrt.f32 (pow.f32 (*.f32 1/2 (/.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000)) v)) 2))
(log.f32 (pow.f32 (exp.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000))) (/.f32 1/2 v)))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 1/2 (/.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000)) v)))))
(cbrt.f32 (pow.f32 (*.f32 1/2 (/.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000)) v)) 3))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 1/2 v) 3) (pow.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000)) 3)))
(cbrt.f32 (*.f32 (pow.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000)) 3) (pow.f32 (/.f32 1/2 v) 3)))
(expm1.f32 (log1p.f32 (*.f32 1/2 (/.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000)) v))))
(log1p.f32 (expm1.f32 (*.f32 1/2 (/.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000)) v))))
(-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (-.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000) (log.f32 (/.f32 1/2 v))))
(-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 1 v) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))
(-.f32 (exp.f32 (log1p.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 1 v) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))))) 1)
(-.f32 (log.f32 (*.f32 1/2 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000)))) (log.f32 v))
(-.f32 (/.f32 (pow.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 2) (-.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))) (/.f32 (pow.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) 2) (-.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))))
(-.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))
(-.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)) (/.f32 1 v))
(-.f32 (+.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000) (log.f32 1/2)) (log.f32 v))
(*.f32 1 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 1 v) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))))
(*.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 1 v) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))) 1)
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(*.f32 (pow.f32 (cbrt.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 1 v) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))) 2) (cbrt.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 1 v) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))))
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(/.f32 1 (/.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) -6931/10000) (+.f32 (pow.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 2) -48038761/100000000)))
(/.f32 (+.f32 332956652491/1000000000000 (pow.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 3)) (+.f32 (pow.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 2) (-.f32 48038761/100000000 (*.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000))))
(/.f32 (+.f32 332956652491/1000000000000 (pow.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 3)) (+.f32 48038761/100000000 (-.f32 (pow.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 2) (*.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000))))
(/.f32 (+.f32 (pow.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 2) -48038761/100000000) (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) -6931/10000))
(/.f32 (neg.f32 (+.f32 332956652491/1000000000000 (pow.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 3))) (neg.f32 (+.f32 (pow.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 2) (-.f32 48038761/100000000 (*.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000)))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 2) -48038761/100000000)) (neg.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) -6931/10000)))
(/.f32 (-.f32 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) 3) (pow.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000) 3)) (+.f32 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) 2) (+.f32 (*.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000) (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)) (*.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)))))
(/.f32 (-.f32 48038761/100000000 (pow.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 2)) (-.f32 6931/10000 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v))))
(/.f32 (-.f32 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) 2) (*.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000) (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000))) (+.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)))
(pow.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000) 1)
(pow.f32 (cbrt.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000)) 3)
(pow.f32 (pow.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000) 3) 1/3)
(pow.f32 (sqrt.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000)) 2)
(sqrt.f32 (pow.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000) 2))
(log.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000)))
(log.f32 (+.f32 1 (expm1.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000))))
(cbrt.f32 (pow.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000) 3))
(expm1.f32 (log1p.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000)))
(log1p.f32 (expm1.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000)))
(exp.f32 (log.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000)))
(exp.f32 (*.f32 (log.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000)) 1))
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) (neg.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)))
(fma.f32 (/.f32 cosTheta_O v) cosTheta_i (neg.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)))
(fma.f32 1 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (neg.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)))
(fma.f32 1 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000)
(fma.f32 (pow.f32 (cbrt.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v))) 2) (cbrt.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 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))) (neg.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)))
(fma.f32 (sqrt.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v))) (sqrt.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v))) 6931/10000)
(fma.f32 (sqrt.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (sqrt.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (neg.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)))

simplify515.0ms (2.6%)

Algorithm
egg-herbie
Rules
436×associate-*r*
372×associate-*l*
328×fma-define
298×exp-prod
296×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
077755922
1205052595
2758452595
Stop Event
node limit
Counts
676 → 468
Calls
Call 1
Inputs
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(+.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))) v))
(+.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) (+.f32 (*.f32 1/2 (/.f32 (*.f32 (pow.f32 cosTheta_O 2) (*.f32 (pow.f32 cosTheta_i 2) (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))) (pow.f32 v 2))) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))) v)))
(+.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) (+.f32 (*.f32 1/6 (/.f32 (*.f32 (pow.f32 cosTheta_O 3) (*.f32 (pow.f32 cosTheta_i 3) (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))) (pow.f32 v 3))) (+.f32 (*.f32 1/2 (/.f32 (*.f32 (pow.f32 cosTheta_O 2) (*.f32 (pow.f32 cosTheta_i 2) (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))) (pow.f32 v 2))) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(+.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))) v))
(+.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) (+.f32 (*.f32 1/2 (/.f32 (*.f32 (pow.f32 cosTheta_O 2) (*.f32 (pow.f32 cosTheta_i 2) (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))) (pow.f32 v 2))) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))) v)))
(+.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) (+.f32 (*.f32 1/6 (/.f32 (*.f32 (pow.f32 cosTheta_O 3) (*.f32 (pow.f32 cosTheta_i 3) (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))) (pow.f32 v 3))) (+.f32 (*.f32 1/2 (/.f32 (*.f32 (pow.f32 cosTheta_O 2) (*.f32 (pow.f32 cosTheta_i 2) (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))) (pow.f32 v 2))) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
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(pow.f32 (exp.f32 1) (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 1 v) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 1 v) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))) 2)) (cbrt.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 1 v) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))))
(pow.f32 (exp.f32 (sqrt.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 1 v) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))))) (sqrt.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 1 v) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v)))))))
(sqrt.f32 (pow.f32 (*.f32 1/2 (/.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000)) v)) 2))
(log.f32 (pow.f32 (exp.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000))) (/.f32 1/2 v)))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 1/2 (/.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000)) v)))))
(cbrt.f32 (pow.f32 (*.f32 1/2 (/.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000)) v)) 3))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 1/2 v) 3) (pow.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000)) 3)))
(cbrt.f32 (*.f32 (pow.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000)) 3) (pow.f32 (/.f32 1/2 v) 3)))
(expm1.f32 (log1p.f32 (*.f32 1/2 (/.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000)) v))))
(log1p.f32 (expm1.f32 (*.f32 1/2 (/.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000)) v))))
(exp.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 1 v) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))))
(-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000))
(-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 1 v) 6931/10000))
(-.f32 (exp.f32 (log1p.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000))) 1)
(-.f32 (/.f32 (pow.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 2) (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) -6931/10000)) (/.f32 48038761/100000000 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) -6931/10000)))
(-.f32 (+.f32 6931/10000 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))
(-.f32 (+.f32 6931/10000 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)) (/.f32 1 v))
(*.f32 1 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000))
(*.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000) 1)
(*.f32 (cbrt.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000)) (pow.f32 (cbrt.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000)) 2))
(*.f32 (pow.f32 (cbrt.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000)) 2) (cbrt.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000)))
(*.f32 (sqrt.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000)) (sqrt.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000)))
(*.f32 (+.f32 332956652491/1000000000000 (pow.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 3)) (/.f32 1 (+.f32 (pow.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 2) (-.f32 48038761/100000000 (*.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000)))))
(*.f32 (+.f32 (pow.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 2) -48038761/100000000) (/.f32 1 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) -6931/10000)))
(/.f32 1 (/.f32 (+.f32 (pow.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 2) (-.f32 48038761/100000000 (*.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000))) (+.f32 332956652491/1000000000000 (pow.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 3))))
(/.f32 1 (/.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) -6931/10000) (+.f32 (pow.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 2) -48038761/100000000)))
(/.f32 (+.f32 332956652491/1000000000000 (pow.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 3)) (+.f32 (pow.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 2) (-.f32 48038761/100000000 (*.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000))))
(/.f32 (+.f32 332956652491/1000000000000 (pow.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 3)) (+.f32 48038761/100000000 (-.f32 (pow.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 2) (*.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000))))
(/.f32 (+.f32 (pow.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 2) -48038761/100000000) (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) -6931/10000))
(/.f32 (neg.f32 (+.f32 332956652491/1000000000000 (pow.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 3))) (neg.f32 (+.f32 (pow.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 2) (-.f32 48038761/100000000 (*.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000)))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 2) -48038761/100000000)) (neg.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) -6931/10000)))
(/.f32 (-.f32 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) 3) (pow.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000) 3)) (+.f32 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) 2) (+.f32 (*.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000) (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)) (*.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)))))
(/.f32 (-.f32 48038761/100000000 (pow.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 2)) (-.f32 6931/10000 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v))))
(/.f32 (-.f32 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) 2) (*.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000) (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000))) (+.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)))
(pow.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000) 1)
(pow.f32 (cbrt.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000)) 3)
(pow.f32 (pow.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000) 3) 1/3)
(pow.f32 (sqrt.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000)) 2)
(sqrt.f32 (pow.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000) 2))
(log.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000)))
(log.f32 (+.f32 1 (expm1.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000))))
(cbrt.f32 (pow.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000) 3))
(expm1.f32 (log1p.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000)))
(log1p.f32 (expm1.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000)))
(exp.f32 (log.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000)))
(exp.f32 (*.f32 (log.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000)) 1))
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) (neg.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)))
(fma.f32 (/.f32 cosTheta_O v) cosTheta_i (neg.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)))
(fma.f32 1 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (neg.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)))
(fma.f32 1 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000)
(fma.f32 (pow.f32 (cbrt.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v))) 2) (cbrt.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 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))) (neg.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)))
(fma.f32 (sqrt.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v))) (sqrt.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v))) 6931/10000)
(fma.f32 (sqrt.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (sqrt.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (neg.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)))
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_i (/.f32 sinTheta_O v))
(/.f32 sinTheta_i (/.f32 v sinTheta_O))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
(/.f32 sinTheta_i (/.f32 v sinTheta_O))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
(/.f32 sinTheta_i (/.f32 v sinTheta_O))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
(/.f32 sinTheta_i (/.f32 v sinTheta_O))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
(/.f32 sinTheta_i (/.f32 v sinTheta_O))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
(/.f32 sinTheta_i (/.f32 v sinTheta_O))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
(/.f32 sinTheta_i (/.f32 v sinTheta_O))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
(/.f32 sinTheta_i (/.f32 v sinTheta_O))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
(/.f32 sinTheta_i (/.f32 v sinTheta_O))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
(/.f32 sinTheta_i (/.f32 v sinTheta_O))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
(/.f32 sinTheta_i (/.f32 v sinTheta_O))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
(/.f32 sinTheta_i (/.f32 v sinTheta_O))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
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eval361.0ms (1.8%)

Compiler

Compiled 18356 to 10266 computations (44.1% saved)

prune204.0ms (1%)

Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New48114495
Fresh000
Picked202
Done000
Total48314497
Accuracy
99.9%
Counts
497 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.9%
(pow.f32 (pow.f32 (*.f32 1/2 (/.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000)) v)) 3) 1/3)
99.7%
(pow.f32 (cbrt.f32 (*.f32 1/2 (/.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000)) v))) 3)
76.2%
(/.f32 (pow.f32 (exp.f32 (/.f32 cosTheta_O v)) cosTheta_i) (exp.f32 (-.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000) (log.f32 (/.f32 1/2 v)))))
98.9%
(*.f32 (/.f32 1/2 v) (pow.f32 (pow.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000)) 3) 1/3))
99.6%
(*.f32 (/.f32 1/2 v) (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000)) 2)) (cbrt.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000))))
99.7%
(*.f32 (/.f32 1/2 v) (pow.f32 (exp.f32 1) (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000)))
99.7%
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))))
4.8%
(*.f32 (/.f32 1/2 v) (exp.f32 6931/10000))
99.8%
(*.f32 (*.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000)) (pow.f32 (cbrt.f32 (/.f32 1/2 v)) 2)) (cbrt.f32 (/.f32 1/2 v)))
4.8%
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
97.4%
(exp.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) (*.f32 sinTheta_O sinTheta_i)) v))
13.6%
(exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))
99.7%
(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 1 v)))
13.6%
(exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v))))
Compiler

Compiled 650 to 482 computations (25.8% saved)

localize747.0ms (3.8%)

Localize:

Found 15 expressions with local error:

NewAccuracyProgram
99.8%
(-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))
99.8%
(exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000))
99.1%
(pow.f32 (pow.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000)) 3) 1/3)
89.4%
(/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)
99.8%
(+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
99.8%
(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 1 v)))
99.8%
(-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 1 v))
76.8%
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
99.9%
(exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))
77.9%
(/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v)
99.1%
(/.f32 (exp.f32 6931/10000) v)
99.8%
(exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000))
99.6%
(cbrt.f32 (/.f32 1/2 v))
98.4%
(pow.f32 (cbrt.f32 (/.f32 1/2 v)) 2)
89.4%
(/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)
Compiler

Compiled 408 to 179 computations (56.1% saved)

series167.0ms (0.8%)

Counts
15 → 496
Calls

150 calls:

TimeVariablePointExpression
15.0ms
cosTheta_i
@0
(pow.f32 (pow.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000)) 3) 1/3)
10.0ms
v
@inf
(cbrt.f32 (/.f32 1/2 v))
9.0ms
sinTheta_O
@-inf
(/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)
5.0ms
sinTheta_i
@0
(exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000))
5.0ms
v
@0
(pow.f32 (cbrt.f32 (/.f32 1/2 v)) 2)

rewrite184.0ms (0.9%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
046574
1750530
Stop Event
node limit
Counts
15 → 425
Calls
Call 1
Inputs
(/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)
(pow.f32 (cbrt.f32 (/.f32 1/2 v)) 2)
(cbrt.f32 (/.f32 1/2 v))
(exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000))
(/.f32 (exp.f32 6931/10000) v)
(/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v)
(exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 1 v))
(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 1 v)))
(+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)
(pow.f32 (pow.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000)) 3) 1/3)
(exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000))
(-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))
Outputs
(-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (*.f32 sinTheta_i (/.f32 sinTheta_O v)))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) v))) 1)
(*.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) (/.f32 1 v))
(*.f32 1 (/.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) v))
(*.f32 (pow.f32 (cbrt.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) v)) 2) (cbrt.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) v)))
(*.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) v)) (sqrt.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) v)))
(*.f32 (pow.f32 v -1/2) (/.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) (sqrt.f32 v)))
(*.f32 (/.f32 1 (pow.f32 (cbrt.f32 v) 2)) (/.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) (cbrt.f32 v)))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O))) 2) 1) (/.f32 (cbrt.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O))) v))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O))) 2) (pow.f32 (cbrt.f32 v) 2)) (cbrt.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) v)))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O))) 2) (sqrt.f32 v)) (/.f32 (cbrt.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O))) (sqrt.f32 v)))
(*.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O))) 1) (/.f32 (sqrt.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O))) v))
(*.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O))) (pow.f32 (cbrt.f32 v) 2)) (/.f32 (sqrt.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O))) (cbrt.f32 v)))
(pow.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) v) 1)
(pow.f32 (cbrt.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) v)) 3)
(pow.f32 (pow.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) v) 3) 1/3)
(pow.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) v)) 2)
(pow.f32 (/.f32 v (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O))) -1)
(sqrt.f32 (pow.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) v) 2))
(log.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) v)))
(log.f32 (+.f32 1 (expm1.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) v))))
(cbrt.f32 (pow.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) v) 3))
(expm1.f32 (log1p.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) v)))
(log1p.f32 (expm1.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) v)))
(exp.f32 (log.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) v)))
(exp.f32 (*.f32 (log.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) v)) 1))
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) (neg.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v))))
(fma.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 1 v) (neg.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v))))
(fma.f32 1 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (neg.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v))))
(fma.f32 (pow.f32 (cbrt.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v))) 2) (cbrt.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v))) (neg.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v))))
(fma.f32 (sqrt.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v))) (sqrt.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v))) (neg.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v))))
(-.f32 (exp.f32 (log1p.f32 (pow.f32 (cbrt.f32 (/.f32 1/2 v)) 2))) 1)
(*.f32 (cbrt.f32 (/.f32 1/2 v)) (cbrt.f32 (/.f32 1/2 v)))
(*.f32 1 (pow.f32 (cbrt.f32 (/.f32 1/2 v)) 2))
(*.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (/.f32 1/2 v)) 4)) (pow.f32 (cbrt.f32 (cbrt.f32 (/.f32 1/2 v))) 2))
(/.f32 (*.f32 (cbrt.f32 1/2) (cbrt.f32 1/2)) (pow.f32 (cbrt.f32 v) 2))
(sqrt.f32 (pow.f32 (cbrt.f32 (/.f32 1/2 v)) 4))
(log.f32 (exp.f32 (pow.f32 (cbrt.f32 (/.f32 1/2 v)) 2)))
(log.f32 (+.f32 1 (expm1.f32 (pow.f32 (cbrt.f32 (/.f32 1/2 v)) 2))))
(cbrt.f32 (pow.f32 (/.f32 1/2 v) 2))
(expm1.f32 (log1p.f32 (pow.f32 (cbrt.f32 (/.f32 1/2 v)) 2)))
(log1p.f32 (expm1.f32 (pow.f32 (cbrt.f32 (/.f32 1/2 v)) 2)))
(exp.f32 (*.f32 2 (log.f32 (cbrt.f32 (/.f32 1/2 v)))))
(exp.f32 (*.f32 (*.f32 2 (log.f32 (cbrt.f32 (/.f32 1/2 v)))) 1))
(-.f32 (exp.f32 (log1p.f32 (cbrt.f32 (/.f32 1/2 v)))) 1)
(*.f32 1 (cbrt.f32 (/.f32 1/2 v)))
(*.f32 (cbrt.f32 1/2) (/.f32 1 (cbrt.f32 v)))
(*.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (/.f32 1/2 v))) 2) (cbrt.f32 (cbrt.f32 (/.f32 1/2 v))))
(*.f32 (pow.f32 (/.f32 1/2 v) 1/6) (pow.f32 (/.f32 1/2 v) 1/6))
(*.f32 (pow.f32 1 1/3) (cbrt.f32 (/.f32 1/2 v)))
(*.f32 (pow.f32 (sqrt.f32 (/.f32 1/2 v)) 1/3) (pow.f32 (sqrt.f32 (/.f32 1/2 v)) 1/3))
(*.f32 (sqrt.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (/.f32 1/2 v)) 4))) (sqrt.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (/.f32 1/2 v))) 2)))
(/.f32 1 (cbrt.f32 (/.f32 v 1/2)))
(/.f32 (cbrt.f32 1/2) (cbrt.f32 v))
(/.f32 (cbrt.f32 -1/2) (cbrt.f32 (neg.f32 v)))
(/.f32 (neg.f32 (cbrt.f32 1/2)) (neg.f32 (cbrt.f32 v)))
(pow.f32 (/.f32 1/2 v) 1/3)
(pow.f32 (cbrt.f32 (/.f32 1/2 v)) 1)
(pow.f32 (pow.f32 (cbrt.f32 (/.f32 1/2 v)) 2) 1/2)
(pow.f32 (cbrt.f32 (cbrt.f32 (/.f32 1/2 v))) 3)
(pow.f32 (pow.f32 (/.f32 1/2 v) 1/6) 2)
(sqrt.f32 (pow.f32 (cbrt.f32 (/.f32 1/2 v)) 2))
(fabs.f32 (cbrt.f32 (/.f32 1/2 v)))
(log.f32 (exp.f32 (cbrt.f32 (/.f32 1/2 v))))
(log.f32 (+.f32 1 (expm1.f32 (cbrt.f32 (/.f32 1/2 v)))))
(expm1.f32 (log1p.f32 (cbrt.f32 (/.f32 1/2 v))))
(log1p.f32 (expm1.f32 (cbrt.f32 (/.f32 1/2 v))))
(exp.f32 (log.f32 (cbrt.f32 (/.f32 1/2 v))))
(exp.f32 (*.f32 (log.f32 (/.f32 1/2 v)) 1/3))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (/.f32 1/2 v))) 1))
(-.f32 (exp.f32 (log1p.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000)))) 1)
(*.f32 1 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000)))
(*.f32 (exp.f32 6931/10000) (exp.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v)))
(*.f32 (exp.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v)) (exp.f32 6931/10000))
(*.f32 (cbrt.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000))) (pow.f32 (cbrt.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000))) 2))
(*.f32 (cbrt.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000))) (pow.f32 (pow.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000)) 2) 1/3))
(*.f32 (pow.f32 (cbrt.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000))) 2) (cbrt.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000))))
(*.f32 (sqrt.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000))) (sqrt.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000))))
(*.f32 (pow.f32 1 1/3) (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000)))
(*.f32 (pow.f32 (pow.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000)) 2) 1/3) (cbrt.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000))))
(*.f32 (pow.f32 (pow.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000)) 3/2) 1/3) (pow.f32 (pow.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000)) 3/2) 1/3))
(/.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) v)) (exp.f32 (-.f32 (/.f32 1 v) 6931/10000)))
(pow.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000)) 1)
(pow.f32 (pow.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000)) 3) 1/3)
(pow.f32 (cbrt.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000))) 3)
(pow.f32 (pow.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000)) 6) 1/6)
(pow.f32 (sqrt.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000))) 2)
(pow.f32 (exp.f32 1) (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000))
(pow.f32 (exp.f32 (cbrt.f32 (pow.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000) 2))) (cbrt.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000)))
(pow.f32 (exp.f32 (sqrt.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000))) (sqrt.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000)))
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(exp.f32 (*.f32 (log.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) v)) 1))
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) (neg.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v))))
(fma.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 1 v) (neg.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v))))
(fma.f32 1 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (neg.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v))))
(fma.f32 (pow.f32 (cbrt.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v))) 2) (cbrt.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v))) (neg.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v))))
(fma.f32 (sqrt.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v))) (sqrt.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v))) (neg.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v))))
(-.f32 (exp.f32 (log1p.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000)))) 1)
(*.f32 1 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000)))
(*.f32 (exp.f32 6931/10000) (exp.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v)))
(*.f32 (exp.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v)) (exp.f32 6931/10000))
(*.f32 (cbrt.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000))) (pow.f32 (cbrt.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000))) 2))
(*.f32 (cbrt.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000))) (pow.f32 (pow.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000)) 2) 1/3))
(*.f32 (pow.f32 (cbrt.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000))) 2) (cbrt.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000))))
(*.f32 (sqrt.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000))) (sqrt.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000))))
(*.f32 (pow.f32 1 1/3) (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000)))
(*.f32 (pow.f32 (pow.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000)) 2) 1/3) (cbrt.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000))))
(*.f32 (pow.f32 (pow.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000)) 3/2) 1/3) (pow.f32 (pow.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000)) 3/2) 1/3))
(/.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) v)) (exp.f32 (-.f32 (/.f32 1 v) 6931/10000)))
(sqrt.f32 (pow.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000)) 2))
(log.f32 (exp.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000))))
(log.f32 (+.f32 1 (expm1.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000)))))
(cbrt.f32 (pow.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000)) 3))
(expm1.f32 (log1p.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000))))
(log1p.f32 (expm1.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000))))
(exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000))
(exp.f32 (*.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000) 1))
(-.f32 (exp.f32 (log1p.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000)))) 1)
(*.f32 1 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000)))
(*.f32 (exp.f32 6931/10000) (exp.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v)))
(*.f32 (exp.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v)) (exp.f32 6931/10000))
(*.f32 (cbrt.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000))) (pow.f32 (cbrt.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000))) 2))
(*.f32 (cbrt.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000))) (pow.f32 (pow.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000)) 2) 1/3))
(*.f32 (pow.f32 (cbrt.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000))) 2) (cbrt.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000))))
(*.f32 (sqrt.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000))) (sqrt.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000))))
(*.f32 (pow.f32 1 1/3) (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000)))
(*.f32 (pow.f32 (pow.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000)) 2) 1/3) (cbrt.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000))))
(*.f32 (pow.f32 (pow.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000)) 3/2) 1/3) (pow.f32 (pow.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000)) 3/2) 1/3))
(/.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) v)) (exp.f32 (-.f32 (/.f32 1 v) 6931/10000)))
(pow.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000)) 1)
(pow.f32 (pow.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000)) 3) 1/3)
(pow.f32 (cbrt.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000))) 3)
(pow.f32 (pow.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000)) 6) 1/6)
(pow.f32 (sqrt.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000))) 2)
(pow.f32 (exp.f32 1) (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000))
(pow.f32 (exp.f32 (cbrt.f32 (pow.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000) 2))) (cbrt.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000)))
(pow.f32 (exp.f32 (sqrt.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000))) (sqrt.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000)))
(sqrt.f32 (pow.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000)) 2))
(log.f32 (exp.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000))))
(log.f32 (+.f32 1 (expm1.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000)))))
(cbrt.f32 (pow.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000)) 3))
(expm1.f32 (log1p.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000))))
(log1p.f32 (expm1.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000))))
(+.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))
(+.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (neg.f32 sinTheta_i) sinTheta_O))
(+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) (fma.f32 sinTheta_O sinTheta_i (*.f32 sinTheta_i sinTheta_O)))
(+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) (fma.f32 (neg.f32 sinTheta_i) sinTheta_O (*.f32 sinTheta_i sinTheta_O)))
(+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) (fma.f32 (neg.f32 (sqrt.f32 (*.f32 sinTheta_i sinTheta_O))) (sqrt.f32 (*.f32 sinTheta_i sinTheta_O)) (*.f32 sinTheta_i sinTheta_O)))
(+.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) 1))) (fma.f32 (*.f32 sinTheta_i sinTheta_O) 1 (*.f32 (*.f32 sinTheta_i sinTheta_O) 1)))
(+.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (*.f32 (cbrt.f32 (*.f32 sinTheta_i sinTheta_O)) (cbrt.f32 (pow.f32 (*.f32 sinTheta_i sinTheta_O) 2))))) (fma.f32 (neg.f32 (cbrt.f32 (*.f32 sinTheta_i sinTheta_O))) (cbrt.f32 (pow.f32 (*.f32 sinTheta_i sinTheta_O) 2)) (*.f32 (cbrt.f32 (*.f32 sinTheta_i sinTheta_O)) (cbrt.f32 (pow.f32 (*.f32 sinTheta_i sinTheta_O) 2)))))
(+.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) 1))) (fma.f32 (*.f32 sinTheta_i sinTheta_O) 1 (*.f32 (*.f32 sinTheta_i sinTheta_O) 1)))
(+.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (*.f32 (cbrt.f32 (*.f32 sinTheta_i sinTheta_O)) (cbrt.f32 (pow.f32 (*.f32 sinTheta_i sinTheta_O) 2))))) (fma.f32 (neg.f32 (cbrt.f32 (*.f32 sinTheta_i sinTheta_O))) (cbrt.f32 (pow.f32 (*.f32 sinTheta_i sinTheta_O) 2)) (*.f32 (cbrt.f32 (*.f32 sinTheta_i sinTheta_O)) (cbrt.f32 (pow.f32 (*.f32 sinTheta_i sinTheta_O) 2)))))
(+.f32 (fma.f32 1 (*.f32 cosTheta_i cosTheta_O) (neg.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) 1))) (fma.f32 (*.f32 sinTheta_i sinTheta_O) 1 (*.f32 (*.f32 sinTheta_i sinTheta_O) 1)))
(+.f32 (fma.f32 1 (*.f32 cosTheta_i cosTheta_O) (neg.f32 (*.f32 (cbrt.f32 (*.f32 sinTheta_i sinTheta_O)) (cbrt.f32 (pow.f32 (*.f32 sinTheta_i sinTheta_O) 2))))) (fma.f32 (neg.f32 (cbrt.f32 (*.f32 sinTheta_i sinTheta_O))) (cbrt.f32 (pow.f32 (*.f32 sinTheta_i sinTheta_O) 2)) (*.f32 (cbrt.f32 (*.f32 sinTheta_i sinTheta_O)) (cbrt.f32 (pow.f32 (*.f32 sinTheta_i sinTheta_O) 2)))))
(+.f32 (fma.f32 (pow.f32 (cbrt.f32 (*.f32 cosTheta_i cosTheta_O)) 2) (cbrt.f32 (*.f32 cosTheta_i cosTheta_O)) (neg.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) 1))) (fma.f32 (*.f32 sinTheta_i sinTheta_O) 1 (*.f32 (*.f32 sinTheta_i sinTheta_O) 1)))
(+.f32 (fma.f32 (pow.f32 (cbrt.f32 (*.f32 cosTheta_i cosTheta_O)) 2) (cbrt.f32 (*.f32 cosTheta_i cosTheta_O)) (neg.f32 (*.f32 (cbrt.f32 (*.f32 sinTheta_i sinTheta_O)) (cbrt.f32 (pow.f32 (*.f32 sinTheta_i sinTheta_O) 2))))) (fma.f32 (neg.f32 (cbrt.f32 (*.f32 sinTheta_i sinTheta_O))) (cbrt.f32 (pow.f32 (*.f32 sinTheta_i sinTheta_O) 2)) (*.f32 (cbrt.f32 (*.f32 sinTheta_i sinTheta_O)) (cbrt.f32 (pow.f32 (*.f32 sinTheta_i sinTheta_O) 2)))))
(+.f32 (fma.f32 (sqrt.f32 (*.f32 cosTheta_i cosTheta_O)) (sqrt.f32 (*.f32 cosTheta_i cosTheta_O)) (neg.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) 1))) (fma.f32 (*.f32 sinTheta_i sinTheta_O) 1 (*.f32 (*.f32 sinTheta_i sinTheta_O) 1)))
(+.f32 (fma.f32 (sqrt.f32 (*.f32 cosTheta_i cosTheta_O)) (sqrt.f32 (*.f32 cosTheta_i cosTheta_O)) (neg.f32 (*.f32 (cbrt.f32 (*.f32 sinTheta_i sinTheta_O)) (cbrt.f32 (pow.f32 (*.f32 sinTheta_i sinTheta_O) 2))))) (fma.f32 (neg.f32 (cbrt.f32 (*.f32 sinTheta_i sinTheta_O))) (cbrt.f32 (pow.f32 (*.f32 sinTheta_i sinTheta_O) 2)) (*.f32 (cbrt.f32 (*.f32 sinTheta_i sinTheta_O)) (cbrt.f32 (pow.f32 (*.f32 sinTheta_i sinTheta_O) 2)))))
(*.f32 1 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)))
(*.f32 (pow.f32 (cbrt.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O))) 2) (cbrt.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O))))
(*.f32 (sqrt.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O))) (sqrt.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O))))
(/.f32 (-.f32 (pow.f32 (*.f32 cosTheta_i cosTheta_O) 3) (pow.f32 (*.f32 sinTheta_i sinTheta_O) 3)) (+.f32 (pow.f32 (*.f32 cosTheta_i cosTheta_O) 2) (+.f32 (pow.f32 (*.f32 sinTheta_i sinTheta_O) 2) (*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)))))
(/.f32 (-.f32 (pow.f32 (*.f32 cosTheta_i cosTheta_O) 2) (pow.f32 (*.f32 sinTheta_i sinTheta_O) 2)) (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)))
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 cosTheta_i cosTheta_O) 3) (pow.f32 (*.f32 sinTheta_i sinTheta_O) 3))) (neg.f32 (+.f32 (pow.f32 (*.f32 cosTheta_i cosTheta_O) 2) (+.f32 (pow.f32 (*.f32 sinTheta_i sinTheta_O) 2) (*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 cosTheta_i cosTheta_O) 2) (pow.f32 (*.f32 sinTheta_i sinTheta_O) 2))) (neg.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O))))
(pow.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1)
(pow.f32 (cbrt.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O))) 3)
(pow.f32 (pow.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 3) 1/3)
(pow.f32 (sqrt.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O))) 2)
(sqrt.f32 (pow.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 2))
(log.f32 (exp.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O))))
(log.f32 (+.f32 1 (expm1.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)))))
(cbrt.f32 (pow.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 3))
(expm1.f32 (log1p.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O))))
(log1p.f32 (expm1.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O))))
(exp.f32 (log.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O))))
(exp.f32 (*.f32 (log.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O))) 1))
(fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O))
(fma.f32 cosTheta_i cosTheta_O (*.f32 (neg.f32 sinTheta_i) sinTheta_O))
(fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_i sinTheta_O))
(fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_i) sinTheta_O))
(fma.f32 1 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))
(fma.f32 1 (*.f32 cosTheta_i cosTheta_O) (*.f32 (neg.f32 sinTheta_i) sinTheta_O))
(fma.f32 1 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) (fma.f32 sinTheta_O sinTheta_i (*.f32 sinTheta_i sinTheta_O)))
(fma.f32 (pow.f32 (cbrt.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O))) 2) (cbrt.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O))) (fma.f32 sinTheta_O sinTheta_i (*.f32 sinTheta_i sinTheta_O)))
(fma.f32 (pow.f32 (cbrt.f32 (*.f32 cosTheta_i cosTheta_O)) 2) (cbrt.f32 (*.f32 cosTheta_i cosTheta_O)) (*.f32 sinTheta_i sinTheta_O))
(fma.f32 (pow.f32 (cbrt.f32 (*.f32 cosTheta_i cosTheta_O)) 2) (cbrt.f32 (*.f32 cosTheta_i cosTheta_O)) (*.f32 (neg.f32 sinTheta_i) sinTheta_O))
(fma.f32 (sqrt.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O))) (sqrt.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O))) (fma.f32 sinTheta_O sinTheta_i (*.f32 sinTheta_i sinTheta_O)))
(fma.f32 (sqrt.f32 (*.f32 cosTheta_i cosTheta_O)) (sqrt.f32 (*.f32 cosTheta_i cosTheta_O)) (*.f32 sinTheta_i sinTheta_O))
(fma.f32 (sqrt.f32 (*.f32 cosTheta_i cosTheta_O)) (sqrt.f32 (*.f32 cosTheta_i cosTheta_O)) (*.f32 (neg.f32 sinTheta_i) sinTheta_O))

simplify550.0ms (2.8%)

Algorithm
egg-herbie
Rules
417×associate-*r*
367×associate-*l*
299×*-commutative
292×fma-define
229×+-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
099251825
1228348500
2784848390
Stop Event
node limit
Counts
921 → 627
Calls
Call 1
Inputs
(*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)
(*.f32 (cbrt.f32 (/.f32 1 (pow.f32 v 2))) (pow.f32 (cbrt.f32 1/2) 2))
(*.f32 (cbrt.f32 (/.f32 1 (pow.f32 v 2))) (pow.f32 (cbrt.f32 1/2) 2))
(*.f32 (cbrt.f32 (/.f32 1 (pow.f32 v 2))) (pow.f32 (cbrt.f32 1/2) 2))
(*.f32 (cbrt.f32 (/.f32 1 (pow.f32 v 2))) (pow.f32 (cbrt.f32 1/2) 2))
(*.f32 (cbrt.f32 (/.f32 1 (pow.f32 v 2))) (pow.f32 (cbrt.f32 1/2) 2))
(*.f32 (cbrt.f32 (/.f32 1 (pow.f32 v 2))) (pow.f32 (cbrt.f32 1/2) 2))
(*.f32 (cbrt.f32 (/.f32 1 (pow.f32 v 2))) (pow.f32 (cbrt.f32 1/2) 2))
(*.f32 (cbrt.f32 (/.f32 1 (pow.f32 v 2))) (pow.f32 (cbrt.f32 1/2) 2))
(*.f32 (cbrt.f32 (/.f32 1 (pow.f32 v 2))) (pow.f32 (cbrt.f32 -1/2) 2))
(*.f32 (cbrt.f32 (/.f32 1 (pow.f32 v 2))) (pow.f32 (cbrt.f32 -1/2) 2))
(*.f32 (cbrt.f32 (/.f32 1 (pow.f32 v 2))) (pow.f32 (cbrt.f32 -1/2) 2))
(*.f32 (cbrt.f32 (/.f32 1 (pow.f32 v 2))) (pow.f32 (cbrt.f32 -1/2) 2))
(*.f32 (cbrt.f32 (/.f32 1 v)) (cbrt.f32 1/2))
(*.f32 (cbrt.f32 (/.f32 1 v)) (cbrt.f32 1/2))
(*.f32 (cbrt.f32 (/.f32 1 v)) (cbrt.f32 1/2))
(*.f32 (cbrt.f32 (/.f32 1 v)) (cbrt.f32 1/2))
(*.f32 (cbrt.f32 (/.f32 1 v)) (cbrt.f32 1/2))
(*.f32 (cbrt.f32 (/.f32 1 v)) (cbrt.f32 1/2))
(*.f32 (cbrt.f32 (/.f32 1 v)) (cbrt.f32 1/2))
(*.f32 (cbrt.f32 (/.f32 1 v)) (cbrt.f32 1/2))
(*.f32 (cbrt.f32 (/.f32 1 v)) (*.f32 (cbrt.f32 -1) (cbrt.f32 -1/2)))
(*.f32 (cbrt.f32 (/.f32 1 v)) (*.f32 (cbrt.f32 -1) (cbrt.f32 -1/2)))
(*.f32 (cbrt.f32 (/.f32 1 v)) (*.f32 (cbrt.f32 -1) (cbrt.f32 -1/2)))
(*.f32 (cbrt.f32 (/.f32 1 v)) (*.f32 (cbrt.f32 -1) (cbrt.f32 -1/2)))
(exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(+.f32 (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (exp.f32 (-.f32 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))) v))
(+.f32 (exp.f32 (-.f32 6931/10000 (+.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 6931/10000 (+.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 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))) v)))
(+.f32 (exp.f32 (-.f32 6931/10000 (+.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 6931/10000 (+.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 6931/10000 (+.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 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.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))))
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(+.f32 (exp.f32 (-.f32 6931/10000 (+.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 6931/10000 (+.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 6931/10000 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))) v)))
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(exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
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(exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
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(exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
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(*.f32 (pow.f32 (cbrt.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000))) 2) (cbrt.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000))))
(*.f32 (sqrt.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000))) (sqrt.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000))))
(*.f32 (pow.f32 1 1/3) (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000)))
(*.f32 (pow.f32 (pow.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000)) 2) 1/3) (cbrt.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000))))
(*.f32 (pow.f32 (pow.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000)) 3/2) 1/3) (pow.f32 (pow.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000)) 3/2) 1/3))
(/.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) v)) (exp.f32 (-.f32 (/.f32 1 v) 6931/10000)))
(pow.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000)) 1)
(pow.f32 (pow.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000)) 3) 1/3)
(pow.f32 (cbrt.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000))) 3)
(pow.f32 (pow.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000)) 6) 1/6)
(pow.f32 (sqrt.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000))) 2)
(pow.f32 (exp.f32 1) (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000))
(pow.f32 (exp.f32 (cbrt.f32 (pow.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000) 2))) (cbrt.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000)))
(pow.f32 (exp.f32 (sqrt.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000))) (sqrt.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000)))
(sqrt.f32 (pow.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000)) 2))
(log.f32 (exp.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000))))
(log.f32 (+.f32 1 (expm1.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000)))))
(cbrt.f32 (pow.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000)) 3))
(expm1.f32 (log1p.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000))))
(log1p.f32 (expm1.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000))))
(+.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))
(+.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (neg.f32 sinTheta_i) sinTheta_O))
(+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) (fma.f32 sinTheta_O sinTheta_i (*.f32 sinTheta_i sinTheta_O)))
(+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) (fma.f32 (neg.f32 sinTheta_i) sinTheta_O (*.f32 sinTheta_i sinTheta_O)))
(+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) (fma.f32 (neg.f32 (sqrt.f32 (*.f32 sinTheta_i sinTheta_O))) (sqrt.f32 (*.f32 sinTheta_i sinTheta_O)) (*.f32 sinTheta_i sinTheta_O)))
(+.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) 1))) (fma.f32 (*.f32 sinTheta_i sinTheta_O) 1 (*.f32 (*.f32 sinTheta_i sinTheta_O) 1)))
(+.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (*.f32 (cbrt.f32 (*.f32 sinTheta_i sinTheta_O)) (cbrt.f32 (pow.f32 (*.f32 sinTheta_i sinTheta_O) 2))))) (fma.f32 (neg.f32 (cbrt.f32 (*.f32 sinTheta_i sinTheta_O))) (cbrt.f32 (pow.f32 (*.f32 sinTheta_i sinTheta_O) 2)) (*.f32 (cbrt.f32 (*.f32 sinTheta_i sinTheta_O)) (cbrt.f32 (pow.f32 (*.f32 sinTheta_i sinTheta_O) 2)))))
(+.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) 1))) (fma.f32 (*.f32 sinTheta_i sinTheta_O) 1 (*.f32 (*.f32 sinTheta_i sinTheta_O) 1)))
(+.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (*.f32 (cbrt.f32 (*.f32 sinTheta_i sinTheta_O)) (cbrt.f32 (pow.f32 (*.f32 sinTheta_i sinTheta_O) 2))))) (fma.f32 (neg.f32 (cbrt.f32 (*.f32 sinTheta_i sinTheta_O))) (cbrt.f32 (pow.f32 (*.f32 sinTheta_i sinTheta_O) 2)) (*.f32 (cbrt.f32 (*.f32 sinTheta_i sinTheta_O)) (cbrt.f32 (pow.f32 (*.f32 sinTheta_i sinTheta_O) 2)))))
(+.f32 (fma.f32 1 (*.f32 cosTheta_i cosTheta_O) (neg.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) 1))) (fma.f32 (*.f32 sinTheta_i sinTheta_O) 1 (*.f32 (*.f32 sinTheta_i sinTheta_O) 1)))
(+.f32 (fma.f32 1 (*.f32 cosTheta_i cosTheta_O) (neg.f32 (*.f32 (cbrt.f32 (*.f32 sinTheta_i sinTheta_O)) (cbrt.f32 (pow.f32 (*.f32 sinTheta_i sinTheta_O) 2))))) (fma.f32 (neg.f32 (cbrt.f32 (*.f32 sinTheta_i sinTheta_O))) (cbrt.f32 (pow.f32 (*.f32 sinTheta_i sinTheta_O) 2)) (*.f32 (cbrt.f32 (*.f32 sinTheta_i sinTheta_O)) (cbrt.f32 (pow.f32 (*.f32 sinTheta_i sinTheta_O) 2)))))
(+.f32 (fma.f32 (pow.f32 (cbrt.f32 (*.f32 cosTheta_i cosTheta_O)) 2) (cbrt.f32 (*.f32 cosTheta_i cosTheta_O)) (neg.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) 1))) (fma.f32 (*.f32 sinTheta_i sinTheta_O) 1 (*.f32 (*.f32 sinTheta_i sinTheta_O) 1)))
(+.f32 (fma.f32 (pow.f32 (cbrt.f32 (*.f32 cosTheta_i cosTheta_O)) 2) (cbrt.f32 (*.f32 cosTheta_i cosTheta_O)) (neg.f32 (*.f32 (cbrt.f32 (*.f32 sinTheta_i sinTheta_O)) (cbrt.f32 (pow.f32 (*.f32 sinTheta_i sinTheta_O) 2))))) (fma.f32 (neg.f32 (cbrt.f32 (*.f32 sinTheta_i sinTheta_O))) (cbrt.f32 (pow.f32 (*.f32 sinTheta_i sinTheta_O) 2)) (*.f32 (cbrt.f32 (*.f32 sinTheta_i sinTheta_O)) (cbrt.f32 (pow.f32 (*.f32 sinTheta_i sinTheta_O) 2)))))
(+.f32 (fma.f32 (sqrt.f32 (*.f32 cosTheta_i cosTheta_O)) (sqrt.f32 (*.f32 cosTheta_i cosTheta_O)) (neg.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) 1))) (fma.f32 (*.f32 sinTheta_i sinTheta_O) 1 (*.f32 (*.f32 sinTheta_i sinTheta_O) 1)))
(+.f32 (fma.f32 (sqrt.f32 (*.f32 cosTheta_i cosTheta_O)) (sqrt.f32 (*.f32 cosTheta_i cosTheta_O)) (neg.f32 (*.f32 (cbrt.f32 (*.f32 sinTheta_i sinTheta_O)) (cbrt.f32 (pow.f32 (*.f32 sinTheta_i sinTheta_O) 2))))) (fma.f32 (neg.f32 (cbrt.f32 (*.f32 sinTheta_i sinTheta_O))) (cbrt.f32 (pow.f32 (*.f32 sinTheta_i sinTheta_O) 2)) (*.f32 (cbrt.f32 (*.f32 sinTheta_i sinTheta_O)) (cbrt.f32 (pow.f32 (*.f32 sinTheta_i sinTheta_O) 2)))))
(*.f32 1 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)))
(*.f32 (pow.f32 (cbrt.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O))) 2) (cbrt.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O))))
(*.f32 (sqrt.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O))) (sqrt.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O))))
(/.f32 (-.f32 (pow.f32 (*.f32 cosTheta_i cosTheta_O) 3) (pow.f32 (*.f32 sinTheta_i sinTheta_O) 3)) (+.f32 (pow.f32 (*.f32 cosTheta_i cosTheta_O) 2) (+.f32 (pow.f32 (*.f32 sinTheta_i sinTheta_O) 2) (*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)))))
(/.f32 (-.f32 (pow.f32 (*.f32 cosTheta_i cosTheta_O) 2) (pow.f32 (*.f32 sinTheta_i sinTheta_O) 2)) (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)))
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 cosTheta_i cosTheta_O) 3) (pow.f32 (*.f32 sinTheta_i sinTheta_O) 3))) (neg.f32 (+.f32 (pow.f32 (*.f32 cosTheta_i cosTheta_O) 2) (+.f32 (pow.f32 (*.f32 sinTheta_i sinTheta_O) 2) (*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 cosTheta_i cosTheta_O) 2) (pow.f32 (*.f32 sinTheta_i sinTheta_O) 2))) (neg.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O))))
(pow.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1)
(pow.f32 (cbrt.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O))) 3)
(pow.f32 (pow.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 3) 1/3)
(pow.f32 (sqrt.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O))) 2)
(sqrt.f32 (pow.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 2))
(log.f32 (exp.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O))))
(log.f32 (+.f32 1 (expm1.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)))))
(cbrt.f32 (pow.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 3))
(expm1.f32 (log1p.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O))))
(log1p.f32 (expm1.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O))))
(exp.f32 (log.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O))))
(exp.f32 (*.f32 (log.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O))) 1))
(fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O))
(fma.f32 cosTheta_i cosTheta_O (*.f32 (neg.f32 sinTheta_i) sinTheta_O))
(fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_i sinTheta_O))
(fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_i) sinTheta_O))
(fma.f32 1 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))
(fma.f32 1 (*.f32 cosTheta_i cosTheta_O) (*.f32 (neg.f32 sinTheta_i) sinTheta_O))
(fma.f32 1 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) (fma.f32 sinTheta_O sinTheta_i (*.f32 sinTheta_i sinTheta_O)))
(fma.f32 (pow.f32 (cbrt.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O))) 2) (cbrt.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O))) (fma.f32 sinTheta_O sinTheta_i (*.f32 sinTheta_i sinTheta_O)))
(fma.f32 (pow.f32 (cbrt.f32 (*.f32 cosTheta_i cosTheta_O)) 2) (cbrt.f32 (*.f32 cosTheta_i cosTheta_O)) (*.f32 sinTheta_i sinTheta_O))
(fma.f32 (pow.f32 (cbrt.f32 (*.f32 cosTheta_i cosTheta_O)) 2) (cbrt.f32 (*.f32 cosTheta_i cosTheta_O)) (*.f32 (neg.f32 sinTheta_i) sinTheta_O))
(fma.f32 (sqrt.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O))) (sqrt.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O))) (fma.f32 sinTheta_O sinTheta_i (*.f32 sinTheta_i sinTheta_O)))
(fma.f32 (sqrt.f32 (*.f32 cosTheta_i cosTheta_O)) (sqrt.f32 (*.f32 cosTheta_i cosTheta_O)) (*.f32 sinTheta_i sinTheta_O))
(fma.f32 (sqrt.f32 (*.f32 cosTheta_i cosTheta_O)) (sqrt.f32 (*.f32 cosTheta_i cosTheta_O)) (*.f32 (neg.f32 sinTheta_i) sinTheta_O))
Outputs
(*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(*.f32 sinTheta_i (neg.f32 (/.f32 sinTheta_O v)))
(neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v)
(/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_i (neg.f32 sinTheta_O))) v)
(+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v)
(/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_i (neg.f32 sinTheta_O))) v)
(+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v)
(/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_i (neg.f32 sinTheta_O))) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v)
(/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_i (neg.f32 sinTheta_O))) v)
(+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v)
(/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_i (neg.f32 sinTheta_O))) v)
(+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v)
(/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_i (neg.f32 sinTheta_O))) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v)
(/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_i (neg.f32 sinTheta_O))) v)
(+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v)
(/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_i (neg.f32 sinTheta_O))) v)
(+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v)
(/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_i (neg.f32 sinTheta_O))) v)
(*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(*.f32 sinTheta_i (neg.f32 (/.f32 sinTheta_O v)))
(neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v)
(/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_i (neg.f32 sinTheta_O))) v)
(+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v)
(/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_i (neg.f32 sinTheta_O))) v)
(+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v)
(/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_i (neg.f32 sinTheta_O))) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v)
(/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_i (neg.f32 sinTheta_O))) v)
(+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v)
(/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_i (neg.f32 sinTheta_O))) v)
(+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v)
(/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_i (neg.f32 sinTheta_O))) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v)
(/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_i (neg.f32 sinTheta_O))) v)
(+.f32 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
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(exp.f32 (+.f32 6931/10000 (/.f32 (+.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) -1) v)))
(exp.f32 (+.f32 6931/10000 (/.f32 (+.f32 -1 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i))) v)))
(pow.f32 (cbrt.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000))) 3)
(exp.f32 (+.f32 6931/10000 (/.f32 (+.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) -1) v)))
(exp.f32 (+.f32 6931/10000 (/.f32 (+.f32 -1 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i))) v)))
(pow.f32 (pow.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000)) 6) 1/6)
(pow.f32 (pow.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (+.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) -1) v))) 6) 1/6)
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(exp.f32 (+.f32 6931/10000 (/.f32 (+.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) -1) v)))
(exp.f32 (+.f32 6931/10000 (/.f32 (+.f32 -1 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i))) v)))
(pow.f32 (exp.f32 1) (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000))
(exp.f32 (+.f32 6931/10000 (/.f32 (+.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) -1) v)))
(exp.f32 (+.f32 6931/10000 (/.f32 (+.f32 -1 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i))) v)))
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(pow.f32 (exp.f32 (cbrt.f32 (pow.f32 (+.f32 6931/10000 (/.f32 (+.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) -1) v)) 2))) (cbrt.f32 (+.f32 6931/10000 (/.f32 (+.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) -1) v))))
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(/.f32 (-.f32 (pow.f32 (*.f32 cosTheta_O cosTheta_i) 2) (pow.f32 (*.f32 sinTheta_O sinTheta_i) 2)) (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)))
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 cosTheta_i cosTheta_O) 3) (pow.f32 (*.f32 sinTheta_i sinTheta_O) 3))) (neg.f32 (+.f32 (pow.f32 (*.f32 cosTheta_i cosTheta_O) 2) (+.f32 (pow.f32 (*.f32 sinTheta_i sinTheta_O) 2) (*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 cosTheta_O cosTheta_i) 3) (pow.f32 (*.f32 sinTheta_O sinTheta_i) 3))) (neg.f32 (+.f32 (pow.f32 (*.f32 cosTheta_O cosTheta_i) 2) (+.f32 (pow.f32 (*.f32 sinTheta_O sinTheta_i) 2) (*.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_O cosTheta_i))))))
(*.f32 1 (/.f32 (-.f32 (pow.f32 (*.f32 cosTheta_O cosTheta_i) 3) (pow.f32 (*.f32 sinTheta_O sinTheta_i) 3)) (+.f32 (pow.f32 (*.f32 cosTheta_O cosTheta_i) 2) (*.f32 (*.f32 sinTheta_O sinTheta_i) (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 cosTheta_i cosTheta_O) 2) (pow.f32 (*.f32 sinTheta_i sinTheta_O) 2))) (neg.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O))))
(neg.f32 (/.f32 (-.f32 (pow.f32 (*.f32 cosTheta_O cosTheta_i) 2) (pow.f32 (*.f32 sinTheta_O sinTheta_i) 2)) (neg.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)))))
(*.f32 1 (/.f32 (-.f32 (pow.f32 (*.f32 cosTheta_O cosTheta_i) 2) (pow.f32 (*.f32 sinTheta_O sinTheta_i) 2)) (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i))))
(pow.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1)
(fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i))
(pow.f32 (cbrt.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O))) 3)
(fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i))
(pow.f32 (pow.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 3) 1/3)
(fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i))
(pow.f32 (sqrt.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O))) 2)
(fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i))
(sqrt.f32 (pow.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 2))
(sqrt.f32 (pow.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) 2))
(fabs.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)))
(log.f32 (exp.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O))))
(fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i))
(log.f32 (+.f32 1 (expm1.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)))))
(fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i))
(cbrt.f32 (pow.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 3))
(fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i))
(expm1.f32 (log1p.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O))))
(expm1.f32 (log1p.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i))))
(log1p.f32 (expm1.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O))))
(fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i))
(exp.f32 (log.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O))))
(fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i))
(exp.f32 (*.f32 (log.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O))) 1))
(fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i))
(fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O))
(fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i))
(fma.f32 cosTheta_i cosTheta_O (*.f32 (neg.f32 sinTheta_i) sinTheta_O))
(fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i)))
(fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_i (neg.f32 sinTheta_O)))
(fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_i sinTheta_O))
(fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i))
(fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_i) sinTheta_O))
(fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i)))
(fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_i (neg.f32 sinTheta_O)))
(fma.f32 1 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))
(fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i))
(fma.f32 1 (*.f32 cosTheta_i cosTheta_O) (*.f32 (neg.f32 sinTheta_i) sinTheta_O))
(fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i)))
(fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_i (neg.f32 sinTheta_O)))
(fma.f32 1 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) (fma.f32 sinTheta_O sinTheta_i (*.f32 sinTheta_i sinTheta_O)))
(+.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) (fma.f32 sinTheta_O sinTheta_i (*.f32 sinTheta_O sinTheta_i)))
(+.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) (*.f32 2 (*.f32 sinTheta_O sinTheta_i)))
(fma.f32 (pow.f32 (cbrt.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O))) 2) (cbrt.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O))) (fma.f32 sinTheta_O sinTheta_i (*.f32 sinTheta_i sinTheta_O)))
(+.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) (fma.f32 sinTheta_O sinTheta_i (*.f32 sinTheta_O sinTheta_i)))
(+.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) (*.f32 2 (*.f32 sinTheta_O sinTheta_i)))
(fma.f32 (pow.f32 (cbrt.f32 (*.f32 cosTheta_i cosTheta_O)) 2) (cbrt.f32 (*.f32 cosTheta_i cosTheta_O)) (*.f32 sinTheta_i sinTheta_O))
(fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i))
(fma.f32 (pow.f32 (cbrt.f32 (*.f32 cosTheta_i cosTheta_O)) 2) (cbrt.f32 (*.f32 cosTheta_i cosTheta_O)) (*.f32 (neg.f32 sinTheta_i) sinTheta_O))
(fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i)))
(fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_i (neg.f32 sinTheta_O)))
(fma.f32 (sqrt.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O))) (sqrt.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O))) (fma.f32 sinTheta_O sinTheta_i (*.f32 sinTheta_i sinTheta_O)))
(+.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) (fma.f32 sinTheta_O sinTheta_i (*.f32 sinTheta_O sinTheta_i)))
(+.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) (*.f32 2 (*.f32 sinTheta_O sinTheta_i)))
(fma.f32 (sqrt.f32 (*.f32 cosTheta_i cosTheta_O)) (sqrt.f32 (*.f32 cosTheta_i cosTheta_O)) (*.f32 sinTheta_i sinTheta_O))
(fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i))
(fma.f32 (sqrt.f32 (*.f32 cosTheta_i cosTheta_O)) (sqrt.f32 (*.f32 cosTheta_i cosTheta_O)) (*.f32 (neg.f32 sinTheta_i) sinTheta_O))
(fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i)))
(fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_i (neg.f32 sinTheta_O)))

eval725.0ms (3.7%)

Compiler

Compiled 26498 to 16435 computations (38% saved)

prune268.0ms (1.4%)

Pruning

19 alts after pruning (18 fresh and 1 done)

PrunedKeptTotal
New86212874
Fresh369
Picked415
Done000
Total86919888
Accuracy
99.9%
Counts
888 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.9%
(pow.f32 (pow.f32 (*.f32 1/2 (/.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000)) v)) 3) 1/3)
99.0%
(pow.f32 (pow.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 1/2 v)))) (/.f32 1 v))) 3) 1/3)
99.7%
(pow.f32 (cbrt.f32 (*.f32 1/2 (/.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000)) v))) 3)
76.2%
(/.f32 (pow.f32 (exp.f32 (/.f32 cosTheta_O v)) cosTheta_i) (exp.f32 (-.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000) (log.f32 (/.f32 1/2 v)))))
92.6%
(/.f32 (exp.f32 (+.f32 6931/10000 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 1/2 v))))) (exp.f32 (/.f32 1 v)))
6.3%
(-.f32 1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
98.9%
(*.f32 (/.f32 1/2 v) (pow.f32 (pow.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))) 3) 1/3))
99.6%
(*.f32 (/.f32 1/2 v) (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000)) 2)) (cbrt.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000))))
99.7%
(*.f32 (/.f32 1/2 v) (pow.f32 (exp.f32 1) (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000)))
99.7%
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))))
99.7%
(*.f32 (*.f32 (pow.f32 (exp.f32 (cbrt.f32 (pow.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000) 2))) (cbrt.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000))) (pow.f32 (cbrt.f32 (/.f32 1/2 v)) 2)) (cbrt.f32 (/.f32 1/2 v)))
99.7%
(*.f32 (*.f32 (pow.f32 (exp.f32 1) (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000)) (pow.f32 (cbrt.f32 (/.f32 1/2 v)) 2)) (cbrt.f32 (/.f32 1/2 v)))
99.8%
(*.f32 (*.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))) (pow.f32 (cbrt.f32 (/.f32 1/2 v)) 2)) (cbrt.f32 (/.f32 1/2 v)))
99.8%
(*.f32 (*.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000)) (pow.f32 (pow.f32 (pow.f32 (/.f32 1/2 v) 1/6) 2) 2)) (cbrt.f32 (/.f32 1/2 v)))
97.4%
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v))
13.6%
(exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))
11.8%
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
99.7%
(exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v)))
6.5%
1
Compiler

Compiled 916 to 689 computations (24.8% saved)

localize1.7s (8.7%)

Localize:

Found 16 expressions with local error:

NewAccuracyProgram
99.8%
(exp.f32 (-.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000) (log.f32 (/.f32 1/2 v))))
99.7%
(exp.f32 (/.f32 cosTheta_O v))
98.3%
(/.f32 (pow.f32 (exp.f32 (/.f32 cosTheta_O v)) cosTheta_i) (exp.f32 (-.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000) (log.f32 (/.f32 1/2 v)))))
89.4%
(pow.f32 (exp.f32 (/.f32 cosTheta_O v)) cosTheta_i)
99.9%
(-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))
99.8%
(exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000))
99.6%
(cbrt.f32 (*.f32 1/2 (/.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000)) v)))
91.7%
(/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)
99.9%
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))))
99.9%
(+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
99.8%
(exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v)))
81.6%
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
99.8%
(cbrt.f32 (/.f32 1/2 v))
99.8%
(exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v)))
98.9%
(pow.f32 (cbrt.f32 (/.f32 1/2 v)) 2)
81.6%
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
Compiler

Compiled 443 to 209 computations (52.8% saved)

series330.0ms (1.7%)

Counts
9 → 281
Calls

90 calls:

TimeVariablePointExpression
43.0ms
cosTheta_O
@-inf
(pow.f32 (exp.f32 (/.f32 cosTheta_O v)) cosTheta_i)
36.0ms
cosTheta_i
@inf
(cbrt.f32 (*.f32 1/2 (/.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000)) v)))
24.0ms
sinTheta_i
@inf
(/.f32 (pow.f32 (exp.f32 (/.f32 cosTheta_O v)) cosTheta_i) (exp.f32 (-.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000) (log.f32 (/.f32 1/2 v)))))
22.0ms
cosTheta_O
@inf
(pow.f32 (exp.f32 (/.f32 cosTheta_O v)) cosTheta_i)
18.0ms
cosTheta_O
@inf
(/.f32 (pow.f32 (exp.f32 (/.f32 cosTheta_O v)) cosTheta_i) (exp.f32 (-.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000) (log.f32 (/.f32 1/2 v)))))

rewrite107.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
369×log1p-expm1-u
369×expm1-log1p-u
364×add-exp-log
363×add-log-exp
361×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
047449
1821433
Stop Event
node limit
Counts
9 → 165
Calls
Call 1
Inputs
(exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v)))
(exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v)))
(+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))))
(cbrt.f32 (*.f32 1/2 (/.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000)) v)))
(pow.f32 (exp.f32 (/.f32 cosTheta_O v)) cosTheta_i)
(/.f32 (pow.f32 (exp.f32 (/.f32 cosTheta_O v)) cosTheta_i) (exp.f32 (-.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000) (log.f32 (/.f32 1/2 v)))))
(exp.f32 (/.f32 cosTheta_O v))
(exp.f32 (-.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000) (log.f32 (/.f32 1/2 v))))
Outputs
(-.f32 (exp.f32 (log1p.f32 (exp.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (/.f32 1 v))))) 1)
(*.f32 1 (exp.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (/.f32 1 v))))
(*.f32 (exp.f32 6931/10000) (exp.f32 (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 1 v))))
(*.f32 (exp.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000)) (exp.f32 (neg.f32 (/.f32 1 v))))
(*.f32 (pow.f32 (cbrt.f32 (exp.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (/.f32 1 v)))) 2) (cbrt.f32 (exp.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (/.f32 1 v)))))
(*.f32 (sqrt.f32 (exp.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (/.f32 1 v)))) (sqrt.f32 (exp.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (/.f32 1 v)))))
(/.f32 (exp.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000)) (exp.f32 (/.f32 1 v)))
(pow.f32 (exp.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (/.f32 1 v))) 1)
(pow.f32 (cbrt.f32 (exp.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (/.f32 1 v)))) 3)
(pow.f32 (pow.f32 (exp.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (/.f32 1 v))) 3) 1/3)
(pow.f32 (sqrt.f32 (exp.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (/.f32 1 v)))) 2)
(pow.f32 (exp.f32 1) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (/.f32 1 v)))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (/.f32 1 v))) 2)) (cbrt.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (/.f32 1 v))))
(pow.f32 (exp.f32 (sqrt.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (/.f32 1 v)))) (sqrt.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (/.f32 1 v))))
(log.f32 (exp.f32 (exp.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (/.f32 1 v)))))
(log.f32 (+.f32 1 (expm1.f32 (exp.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (/.f32 1 v))))))
(cbrt.f32 (pow.f32 (exp.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (/.f32 1 v))) 3))
(expm1.f32 (log1p.f32 (exp.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (/.f32 1 v)))))
(log1p.f32 (expm1.f32 (exp.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (/.f32 1 v)))))
(-.f32 (exp.f32 (log1p.f32 (exp.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (/.f32 1 v))))) 1)
(*.f32 1 (exp.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) 6931/10000) (/.f32 1 v))))
(*.f32 (exp.f32 6931/10000) (exp.f32 (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 1 v))))
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(exp.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) (-.f32 -6931/10000 (log.f32 (/.f32 1/2 v))))))
(exp.f32 (*.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) (-.f32 -6931/10000 (log.f32 (/.f32 1/2 v))))) 1))
(-.f32 (exp.f32 (log1p.f32 (exp.f32 (/.f32 cosTheta_O v)))) 1)
(*.f32 1 (exp.f32 (/.f32 cosTheta_O v)))
(*.f32 (pow.f32 (cbrt.f32 (exp.f32 (/.f32 cosTheta_O v))) 2) (cbrt.f32 (exp.f32 (/.f32 cosTheta_O v))))
(*.f32 (sqrt.f32 (exp.f32 (/.f32 cosTheta_O v))) (sqrt.f32 (exp.f32 (/.f32 cosTheta_O v))))
(pow.f32 (exp.f32 (/.f32 cosTheta_O v)) 1)
(pow.f32 (exp.f32 cosTheta_O) (/.f32 1 v))
(pow.f32 (cbrt.f32 (exp.f32 (/.f32 cosTheta_O v))) 3)
(pow.f32 (pow.f32 (exp.f32 (/.f32 cosTheta_O v)) 3) 1/3)
(pow.f32 (sqrt.f32 (exp.f32 (/.f32 cosTheta_O v))) 2)
(pow.f32 (exp.f32 1) (/.f32 cosTheta_O v))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (/.f32 cosTheta_O v)) 2)) (cbrt.f32 (/.f32 cosTheta_O v)))
(pow.f32 (exp.f32 (sqrt.f32 (/.f32 cosTheta_O v))) (sqrt.f32 (/.f32 cosTheta_O v)))
(log.f32 (exp.f32 (exp.f32 (/.f32 cosTheta_O v))))
(log.f32 (+.f32 1 (expm1.f32 (exp.f32 (/.f32 cosTheta_O v)))))
(cbrt.f32 (pow.f32 (exp.f32 (/.f32 cosTheta_O v)) 3))
(expm1.f32 (log1p.f32 (exp.f32 (/.f32 cosTheta_O v))))
(log1p.f32 (expm1.f32 (exp.f32 (/.f32 cosTheta_O v))))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)) (/.f32 1/2 v)))) 1)
(*.f32 1 (/.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)) (/.f32 1/2 v)))
(*.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)) (exp.f32 (neg.f32 (log.f32 (/.f32 1/2 v)))))
(*.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))) (exp.f32 (-.f32 -6931/10000 (log.f32 (/.f32 1/2 v)))))
(*.f32 (pow.f32 (cbrt.f32 (/.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)) (/.f32 1/2 v))) 2) (cbrt.f32 (/.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)) (/.f32 1/2 v))))
(*.f32 (sqrt.f32 (/.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)) (/.f32 1/2 v))) (sqrt.f32 (/.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)) (/.f32 1/2 v))))
(/.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)) (/.f32 1/2 v))
(pow.f32 (/.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)) (/.f32 1/2 v)) 1)
(pow.f32 (cbrt.f32 (/.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)) (/.f32 1/2 v))) 3)
(pow.f32 (pow.f32 (/.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)) (/.f32 1/2 v)) 3) 1/3)
(pow.f32 (sqrt.f32 (/.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)) (/.f32 1/2 v))) 2)
(pow.f32 (exp.f32 1) (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) (-.f32 -6931/10000 (log.f32 (/.f32 1/2 v)))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) (-.f32 -6931/10000 (log.f32 (/.f32 1/2 v))))) 2)) (cbrt.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) (-.f32 -6931/10000 (log.f32 (/.f32 1/2 v))))))
(pow.f32 (exp.f32 (sqrt.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) (-.f32 -6931/10000 (log.f32 (/.f32 1/2 v)))))) (sqrt.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) (-.f32 -6931/10000 (log.f32 (/.f32 1/2 v))))))
(log.f32 (exp.f32 (/.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)) (/.f32 1/2 v))))
(log.f32 (+.f32 1 (expm1.f32 (/.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)) (/.f32 1/2 v)))))
(cbrt.f32 (pow.f32 (/.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)) (/.f32 1/2 v)) 3))
(expm1.f32 (log1p.f32 (/.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)) (/.f32 1/2 v))))
(log1p.f32 (expm1.f32 (/.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)) (/.f32 1/2 v))))

simplify445.0ms (2.3%)

Algorithm
egg-herbie
Rules
808×associate-*r*
607×fma-define
482×times-frac
323×associate-+r+
303×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0102051539648639
1287651539643530
Stop Event
node limit
Counts
446 → 436
Calls
Call 1
Inputs
(exp.f32 (-.f32 6931/10000 (/.f32 1 v)))
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(exp.f32 (-.f32 6931/10000 (/.f32 1 v)))
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(exp.f32 6931/10000)
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(exp.f32 6931/10000)
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(exp.f32 (-.f32 6931/10000 (/.f32 1 v)))
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(exp.f32 (-.f32 6931/10000 (/.f32 1 v)))
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(exp.f32 6931/10000)
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(exp.f32 6931/10000)
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6931/10000
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
6931/10000
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
6931/10000
6931/10000
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))) v))
(*.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))) v))
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(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
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(*.f32 1/2 (/.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) v))
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(*.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))) v))
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(exp.f32 (*.f32 (+.f32 (log.f32 1/2) (-.f32 (+.f32 6931/10000 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_i) sinTheta_O)) 1) v)) (log.f32 v))) 1/3))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_i) sinTheta_O)) 1) v))) v)))) 1))
(-.f32 (exp.f32 (log1p.f32 (pow.f32 (exp.f32 (/.f32 cosTheta_O v)) cosTheta_i))) 1)
(*.f32 1 (pow.f32 (exp.f32 (/.f32 cosTheta_O v)) cosTheta_i))
(*.f32 (cbrt.f32 (pow.f32 (pow.f32 (exp.f32 (/.f32 cosTheta_O v)) 2) cosTheta_i)) (cbrt.f32 (pow.f32 (exp.f32 (/.f32 cosTheta_O v)) cosTheta_i)))
(*.f32 (sqrt.f32 (pow.f32 (exp.f32 (/.f32 cosTheta_O v)) cosTheta_i)) (sqrt.f32 (pow.f32 (exp.f32 (/.f32 cosTheta_O v)) cosTheta_i)))
(*.f32 (pow.f32 1 cosTheta_i) (pow.f32 (exp.f32 (/.f32 cosTheta_O v)) cosTheta_i))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (exp.f32 (/.f32 cosTheta_O v))) 2) cosTheta_i) (pow.f32 (cbrt.f32 (exp.f32 (/.f32 cosTheta_O v))) cosTheta_i))
(*.f32 (pow.f32 (sqrt.f32 (exp.f32 (/.f32 cosTheta_O v))) cosTheta_i) (pow.f32 (sqrt.f32 (exp.f32 (/.f32 cosTheta_O v))) cosTheta_i))
(log.f32 (exp.f32 (pow.f32 (exp.f32 (/.f32 cosTheta_O v)) cosTheta_i)))
(log.f32 (+.f32 1 (expm1.f32 (pow.f32 (exp.f32 (/.f32 cosTheta_O v)) cosTheta_i))))
(cbrt.f32 (pow.f32 (pow.f32 (exp.f32 (/.f32 cosTheta_O v)) cosTheta_i) 3))
(expm1.f32 (log1p.f32 (pow.f32 (exp.f32 (/.f32 cosTheta_O v)) cosTheta_i)))
(log1p.f32 (expm1.f32 (pow.f32 (exp.f32 (/.f32 cosTheta_O v)) cosTheta_i)))
(exp.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)))
(exp.f32 (*.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) 1))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 cosTheta_O v)) cosTheta_i) (/.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)) (/.f32 1/2 v))))) 1)
(*.f32 1 (/.f32 (pow.f32 (exp.f32 (/.f32 cosTheta_O v)) cosTheta_i) (/.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)) (/.f32 1/2 v))))
(*.f32 (pow.f32 (exp.f32 (/.f32 cosTheta_O v)) cosTheta_i) (/.f32 1 (/.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)) (/.f32 1/2 v))))
(*.f32 (pow.f32 (cbrt.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 cosTheta_O v)) cosTheta_i) (/.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)) (/.f32 1/2 v)))) 2) (cbrt.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 cosTheta_O v)) cosTheta_i) (/.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)) (/.f32 1/2 v)))))
(*.f32 (sqrt.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 cosTheta_O v)) cosTheta_i) (/.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)) (/.f32 1/2 v)))) (sqrt.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 cosTheta_O v)) cosTheta_i) (/.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)) (/.f32 1/2 v)))))
(pow.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 cosTheta_O v)) cosTheta_i) (/.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)) (/.f32 1/2 v))) 1)
(pow.f32 (cbrt.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 cosTheta_O v)) cosTheta_i) (/.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)) (/.f32 1/2 v)))) 3)
(pow.f32 (pow.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 cosTheta_O v)) cosTheta_i) (/.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)) (/.f32 1/2 v))) 3) 1/3)
(pow.f32 (sqrt.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 cosTheta_O v)) cosTheta_i) (/.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)) (/.f32 1/2 v)))) 2)
(pow.f32 (/.f32 (/.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)) (/.f32 1/2 v)) (pow.f32 (exp.f32 (/.f32 cosTheta_O v)) cosTheta_i)) -1)
(log.f32 (exp.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 cosTheta_O v)) cosTheta_i) (/.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)) (/.f32 1/2 v)))))
(log.f32 (+.f32 1 (expm1.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 cosTheta_O v)) cosTheta_i) (/.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)) (/.f32 1/2 v))))))
(cbrt.f32 (pow.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 cosTheta_O v)) cosTheta_i) (/.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)) (/.f32 1/2 v))) 3))
(cbrt.f32 (/.f32 (pow.f32 (pow.f32 (exp.f32 (/.f32 cosTheta_O v)) cosTheta_i) 3) (pow.f32 (/.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)) (/.f32 1/2 v)) 3)))
(expm1.f32 (log1p.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 cosTheta_O v)) cosTheta_i) (/.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)) (/.f32 1/2 v)))))
(log1p.f32 (expm1.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 cosTheta_O v)) cosTheta_i) (/.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)) (/.f32 1/2 v)))))
(exp.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) (-.f32 -6931/10000 (log.f32 (/.f32 1/2 v))))))
(exp.f32 (*.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) (-.f32 -6931/10000 (log.f32 (/.f32 1/2 v))))) 1))
(-.f32 (exp.f32 (log1p.f32 (exp.f32 (/.f32 cosTheta_O v)))) 1)
(*.f32 1 (exp.f32 (/.f32 cosTheta_O v)))
(*.f32 (pow.f32 (cbrt.f32 (exp.f32 (/.f32 cosTheta_O v))) 2) (cbrt.f32 (exp.f32 (/.f32 cosTheta_O v))))
(*.f32 (sqrt.f32 (exp.f32 (/.f32 cosTheta_O v))) (sqrt.f32 (exp.f32 (/.f32 cosTheta_O v))))
(pow.f32 (exp.f32 (/.f32 cosTheta_O v)) 1)
(pow.f32 (exp.f32 cosTheta_O) (/.f32 1 v))
(pow.f32 (cbrt.f32 (exp.f32 (/.f32 cosTheta_O v))) 3)
(pow.f32 (pow.f32 (exp.f32 (/.f32 cosTheta_O v)) 3) 1/3)
(pow.f32 (sqrt.f32 (exp.f32 (/.f32 cosTheta_O v))) 2)
(pow.f32 (exp.f32 1) (/.f32 cosTheta_O v))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (/.f32 cosTheta_O v)) 2)) (cbrt.f32 (/.f32 cosTheta_O v)))
(pow.f32 (exp.f32 (sqrt.f32 (/.f32 cosTheta_O v))) (sqrt.f32 (/.f32 cosTheta_O v)))
(log.f32 (exp.f32 (exp.f32 (/.f32 cosTheta_O v))))
(log.f32 (+.f32 1 (expm1.f32 (exp.f32 (/.f32 cosTheta_O v)))))
(cbrt.f32 (pow.f32 (exp.f32 (/.f32 cosTheta_O v)) 3))
(expm1.f32 (log1p.f32 (exp.f32 (/.f32 cosTheta_O v))))
(log1p.f32 (expm1.f32 (exp.f32 (/.f32 cosTheta_O v))))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)) (/.f32 1/2 v)))) 1)
(*.f32 1 (/.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)) (/.f32 1/2 v)))
(*.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)) (exp.f32 (neg.f32 (log.f32 (/.f32 1/2 v)))))
(*.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))) (exp.f32 (-.f32 -6931/10000 (log.f32 (/.f32 1/2 v)))))
(*.f32 (pow.f32 (cbrt.f32 (/.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)) (/.f32 1/2 v))) 2) (cbrt.f32 (/.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)) (/.f32 1/2 v))))
(*.f32 (sqrt.f32 (/.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)) (/.f32 1/2 v))) (sqrt.f32 (/.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)) (/.f32 1/2 v))))
(/.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)) (/.f32 1/2 v))
(pow.f32 (/.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)) (/.f32 1/2 v)) 1)
(pow.f32 (cbrt.f32 (/.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)) (/.f32 1/2 v))) 3)
(pow.f32 (pow.f32 (/.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)) (/.f32 1/2 v)) 3) 1/3)
(pow.f32 (sqrt.f32 (/.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)) (/.f32 1/2 v))) 2)
(pow.f32 (exp.f32 1) (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) (-.f32 -6931/10000 (log.f32 (/.f32 1/2 v)))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) (-.f32 -6931/10000 (log.f32 (/.f32 1/2 v))))) 2)) (cbrt.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) (-.f32 -6931/10000 (log.f32 (/.f32 1/2 v))))))
(pow.f32 (exp.f32 (sqrt.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) (-.f32 -6931/10000 (log.f32 (/.f32 1/2 v)))))) (sqrt.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) (-.f32 -6931/10000 (log.f32 (/.f32 1/2 v))))))
(log.f32 (exp.f32 (/.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)) (/.f32 1/2 v))))
(log.f32 (+.f32 1 (expm1.f32 (/.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)) (/.f32 1/2 v)))))
(cbrt.f32 (pow.f32 (/.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)) (/.f32 1/2 v)) 3))
(expm1.f32 (log1p.f32 (/.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)) (/.f32 1/2 v))))
(log1p.f32 (expm1.f32 (/.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)) (/.f32 1/2 v))))
Outputs
(exp.f32 (-.f32 6931/10000 (/.f32 1 v)))
(exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))
(+.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) v))
(+.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (*.f32 cosTheta_O (/.f32 (*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) cosTheta_i) v)))
(fma.f32 cosTheta_O (/.f32 (*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) cosTheta_i) 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 (pow.f32 cosTheta_O 2) (/.f32 (*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (pow.f32 cosTheta_i 2)) (pow.f32 v 2))) (*.f32 cosTheta_O (/.f32 (*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) cosTheta_i) v))))
(+.f32 (fma.f32 cosTheta_O (/.f32 (*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) cosTheta_i) v) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) (*.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 (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 (pow.f32 cosTheta_O 2) (/.f32 (*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (pow.f32 cosTheta_i 2)) (pow.f32 v 2))) (*.f32 cosTheta_O (/.f32 (*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) cosTheta_i) v)))))
(+.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (fma.f32 1/6 (/.f32 (*.f32 (*.f32 (pow.f32 cosTheta_O 3) (pow.f32 cosTheta_i 3)) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) (pow.f32 v 3)) (fma.f32 cosTheta_O (/.f32 (*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) cosTheta_i) v) (*.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))))))
(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 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) cosTheta_i) v)))
(fma.f32 cosTheta_O (/.f32 (*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) cosTheta_i) 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 (pow.f32 cosTheta_O 2) (/.f32 (*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (pow.f32 cosTheta_i 2)) (pow.f32 v 2))) (*.f32 cosTheta_O (/.f32 (*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) cosTheta_i) v))))
(+.f32 (fma.f32 cosTheta_O (/.f32 (*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) cosTheta_i) v) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) (*.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 (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 (pow.f32 cosTheta_O 2) (/.f32 (*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (pow.f32 cosTheta_i 2)) (pow.f32 v 2))) (*.f32 cosTheta_O (/.f32 (*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) cosTheta_i) v)))))
(+.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (fma.f32 1/6 (/.f32 (*.f32 (*.f32 (pow.f32 cosTheta_O 3) (pow.f32 cosTheta_i 3)) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))) (pow.f32 v 3)) (fma.f32 cosTheta_O (/.f32 (*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) cosTheta_i) v) (*.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))))))
(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 (exp.f32 6931/10000) (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))
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(log.f32 (exp.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 cosTheta_O v)) cosTheta_i) (/.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)) (/.f32 1/2 v)))))
(/.f32 (pow.f32 (exp.f32 (/.f32 cosTheta_O v)) cosTheta_i) (/.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)) (/.f32 1/2 v)))
(/.f32 (exp.f32 (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))) (/.f32 (exp.f32 -6931/10000) (/.f32 1/2 v)))
(log.f32 (+.f32 1 (expm1.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 cosTheta_O v)) cosTheta_i) (/.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)) (/.f32 1/2 v))))))
(/.f32 (pow.f32 (exp.f32 (/.f32 cosTheta_O v)) cosTheta_i) (/.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)) (/.f32 1/2 v)))
(/.f32 (exp.f32 (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))) (/.f32 (exp.f32 -6931/10000) (/.f32 1/2 v)))
(cbrt.f32 (pow.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 cosTheta_O v)) cosTheta_i) (/.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)) (/.f32 1/2 v))) 3))
(/.f32 (pow.f32 (exp.f32 (/.f32 cosTheta_O v)) cosTheta_i) (/.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)) (/.f32 1/2 v)))
(/.f32 (exp.f32 (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))) (/.f32 (exp.f32 -6931/10000) (/.f32 1/2 v)))
(cbrt.f32 (/.f32 (pow.f32 (pow.f32 (exp.f32 (/.f32 cosTheta_O v)) cosTheta_i) 3) (pow.f32 (/.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)) (/.f32 1/2 v)) 3)))
(/.f32 (pow.f32 (exp.f32 (/.f32 cosTheta_O v)) cosTheta_i) (/.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)) (/.f32 1/2 v)))
(/.f32 (exp.f32 (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))) (/.f32 (exp.f32 -6931/10000) (/.f32 1/2 v)))
(expm1.f32 (log1p.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 cosTheta_O v)) cosTheta_i) (/.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)) (/.f32 1/2 v)))))
(expm1.f32 (log1p.f32 (/.f32 (exp.f32 (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))) (/.f32 (exp.f32 -6931/10000) (/.f32 1/2 v)))))
(log1p.f32 (expm1.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 cosTheta_O v)) cosTheta_i) (/.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)) (/.f32 1/2 v)))))
(/.f32 (pow.f32 (exp.f32 (/.f32 cosTheta_O v)) cosTheta_i) (/.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)) (/.f32 1/2 v)))
(/.f32 (exp.f32 (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))) (/.f32 (exp.f32 -6931/10000) (/.f32 1/2 v)))
(exp.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) (-.f32 -6931/10000 (log.f32 (/.f32 1/2 v))))))
(/.f32 (pow.f32 (exp.f32 (/.f32 cosTheta_O v)) cosTheta_i) (/.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)) (/.f32 1/2 v)))
(/.f32 (exp.f32 (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))) (/.f32 (exp.f32 -6931/10000) (/.f32 1/2 v)))
(exp.f32 (*.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) (-.f32 -6931/10000 (log.f32 (/.f32 1/2 v))))) 1))
(/.f32 (pow.f32 (exp.f32 (/.f32 cosTheta_O v)) cosTheta_i) (/.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)) (/.f32 1/2 v)))
(/.f32 (exp.f32 (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)))) (/.f32 (exp.f32 -6931/10000) (/.f32 1/2 v)))
(-.f32 (exp.f32 (log1p.f32 (exp.f32 (/.f32 cosTheta_O v)))) 1)
(expm1.f32 (log1p.f32 (exp.f32 (/.f32 cosTheta_O v))))
(*.f32 1 (exp.f32 (/.f32 cosTheta_O v)))
(exp.f32 (/.f32 cosTheta_O v))
(*.f32 (pow.f32 (cbrt.f32 (exp.f32 (/.f32 cosTheta_O v))) 2) (cbrt.f32 (exp.f32 (/.f32 cosTheta_O v))))
(exp.f32 (/.f32 cosTheta_O v))
(*.f32 (sqrt.f32 (exp.f32 (/.f32 cosTheta_O v))) (sqrt.f32 (exp.f32 (/.f32 cosTheta_O v))))
(exp.f32 (/.f32 cosTheta_O v))
(pow.f32 (exp.f32 (/.f32 cosTheta_O v)) 1)
(exp.f32 (/.f32 cosTheta_O v))
(pow.f32 (exp.f32 cosTheta_O) (/.f32 1 v))
(pow.f32 (cbrt.f32 (exp.f32 (/.f32 cosTheta_O v))) 3)
(exp.f32 (/.f32 cosTheta_O v))
(pow.f32 (pow.f32 (exp.f32 (/.f32 cosTheta_O v)) 3) 1/3)
(exp.f32 (/.f32 cosTheta_O v))
(pow.f32 (sqrt.f32 (exp.f32 (/.f32 cosTheta_O v))) 2)
(exp.f32 (/.f32 cosTheta_O v))
(pow.f32 (exp.f32 1) (/.f32 cosTheta_O v))
(pow.f32 (E.f32) (/.f32 cosTheta_O v))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (/.f32 cosTheta_O v)) 2)) (cbrt.f32 (/.f32 cosTheta_O v)))
(pow.f32 (exp.f32 (sqrt.f32 (/.f32 cosTheta_O v))) (sqrt.f32 (/.f32 cosTheta_O v)))
(log.f32 (exp.f32 (exp.f32 (/.f32 cosTheta_O v))))
(exp.f32 (/.f32 cosTheta_O v))
(log.f32 (+.f32 1 (expm1.f32 (exp.f32 (/.f32 cosTheta_O v)))))
(exp.f32 (/.f32 cosTheta_O v))
(cbrt.f32 (pow.f32 (exp.f32 (/.f32 cosTheta_O v)) 3))
(exp.f32 (/.f32 cosTheta_O v))
(expm1.f32 (log1p.f32 (exp.f32 (/.f32 cosTheta_O v))))
(log1p.f32 (expm1.f32 (exp.f32 (/.f32 cosTheta_O v))))
(exp.f32 (/.f32 cosTheta_O v))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)) (/.f32 1/2 v)))) 1)
(expm1.f32 (log1p.f32 (/.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)) (/.f32 1/2 v))))
(expm1.f32 (log1p.f32 (*.f32 (/.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)) 1/2) v)))
(*.f32 1 (/.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)) (/.f32 1/2 v)))
(/.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)) (/.f32 1/2 v))
(*.f32 (/.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)) 1/2) v)
(*.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)) (exp.f32 (neg.f32 (log.f32 (/.f32 1/2 v)))))
(/.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)) (/.f32 1/2 v))
(*.f32 (/.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)) 1/2) v)
(*.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v))) (exp.f32 (-.f32 -6931/10000 (log.f32 (/.f32 1/2 v)))))
(/.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)) (/.f32 1/2 v))
(*.f32 (/.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)) 1/2) v)
(*.f32 (pow.f32 (cbrt.f32 (/.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)) (/.f32 1/2 v))) 2) (cbrt.f32 (/.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)) (/.f32 1/2 v))))
(/.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)) (/.f32 1/2 v))
(*.f32 (/.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)) 1/2) v)
(*.f32 (sqrt.f32 (/.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)) (/.f32 1/2 v))) (sqrt.f32 (/.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)) (/.f32 1/2 v))))
(/.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)) (/.f32 1/2 v))
(*.f32 (/.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)) 1/2) v)
(/.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)) (/.f32 1/2 v))
(*.f32 (/.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)) 1/2) v)
(pow.f32 (/.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)) (/.f32 1/2 v)) 1)
(/.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)) (/.f32 1/2 v))
(*.f32 (/.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)) 1/2) v)
(pow.f32 (cbrt.f32 (/.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)) (/.f32 1/2 v))) 3)
(/.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)) (/.f32 1/2 v))
(*.f32 (/.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)) 1/2) v)
(pow.f32 (pow.f32 (/.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)) (/.f32 1/2 v)) 3) 1/3)
(/.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)) (/.f32 1/2 v))
(*.f32 (/.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)) 1/2) v)
(pow.f32 (sqrt.f32 (/.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)) (/.f32 1/2 v))) 2)
(/.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)) (/.f32 1/2 v))
(*.f32 (/.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)) 1/2) v)
(pow.f32 (exp.f32 1) (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) (-.f32 -6931/10000 (log.f32 (/.f32 1/2 v)))))
(pow.f32 (E.f32) (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) (-.f32 -6931/10000 (log.f32 (/.f32 1/2 v)))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) (-.f32 -6931/10000 (log.f32 (/.f32 1/2 v))))) 2)) (cbrt.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) (-.f32 -6931/10000 (log.f32 (/.f32 1/2 v))))))
(pow.f32 (exp.f32 (sqrt.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) (-.f32 -6931/10000 (log.f32 (/.f32 1/2 v)))))) (sqrt.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) (-.f32 -6931/10000 (log.f32 (/.f32 1/2 v))))))
(log.f32 (exp.f32 (/.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)) (/.f32 1/2 v))))
(/.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)) (/.f32 1/2 v))
(*.f32 (/.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)) 1/2) v)
(log.f32 (+.f32 1 (expm1.f32 (/.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)) (/.f32 1/2 v)))))
(/.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)) (/.f32 1/2 v))
(*.f32 (/.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)) 1/2) v)
(cbrt.f32 (pow.f32 (/.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)) (/.f32 1/2 v)) 3))
(/.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)) (/.f32 1/2 v))
(*.f32 (/.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)) 1/2) v)
(expm1.f32 (log1p.f32 (/.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)) (/.f32 1/2 v))))
(expm1.f32 (log1p.f32 (*.f32 (/.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)) 1/2) v)))
(log1p.f32 (expm1.f32 (/.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)) (/.f32 1/2 v))))
(/.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)) (/.f32 1/2 v))
(*.f32 (/.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000)) 1/2) v)

eval810.0ms (4.1%)

Compiler

Compiled 40674 to 27191 computations (33.1% saved)

prune232.0ms (1.2%)

Pruning

23 alts after pruning (21 fresh and 2 done)

PrunedKeptTotal
New96712979
Fresh4913
Picked415
Done011
Total97523998
Accuracy
100.0%
Counts
998 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.9%
(pow.f32 (pow.f32 (*.f32 1/2 (/.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000)) v)) 3) 1/3)
99.7%
(pow.f32 (pow.f32 (*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_i) sinTheta_O)) 1) v))) v)) 1/3) 3)
99.0%
(pow.f32 (pow.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 1/2 v)))) (/.f32 1 v))) 3) 1/3)
99.7%
(pow.f32 (*.f32 (pow.f32 (pow.f32 (cbrt.f32 (*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_i) sinTheta_O)) 1) v))) v))) 2) 1/3) (cbrt.f32 (cbrt.f32 (*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_i) sinTheta_O)) 1) v))) v))))) 3)
99.7%
(pow.f32 (*.f32 (pow.f32 (sqrt.f32 (*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_i) sinTheta_O)) 1) v))) v))) 1/3) (pow.f32 (sqrt.f32 (*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_i) sinTheta_O)) 1) v))) v))) 1/3)) 3)
99.7%
(pow.f32 (cbrt.f32 (*.f32 1/2 (/.f32 (pow.f32 (exp.f32 1) (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000)) v))) 3)
99.7%
(pow.f32 (cbrt.f32 (*.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))) v))) 3)
92.6%
(/.f32 (exp.f32 (+.f32 6931/10000 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 1/2 v))))) (exp.f32 (/.f32 1 v)))
99.6%
(/.f32 1 (/.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)) -6931/10000)) (/.f32 1/2 v)))
99.6%
(/.f32 1 (exp.f32 (-.f32 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))))
6.3%
(-.f32 1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
98.9%
(*.f32 (/.f32 1/2 v) (pow.f32 (pow.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))) 3) 1/3))
99.6%
(*.f32 (/.f32 1/2 v) (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000)) 2)) (cbrt.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000))))
99.7%
(*.f32 (/.f32 1/2 v) (pow.f32 (E.f32) (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v))))
99.7%
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))
99.7%
(*.f32 (*.f32 (pow.f32 (E.f32) (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v))) (pow.f32 (cbrt.f32 (/.f32 1/2 v)) 2)) (cbrt.f32 (/.f32 1/2 v)))
99.8%
(*.f32 (*.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))) (pow.f32 (pow.f32 (pow.f32 (/.f32 1/2 v) 1/6) 2) 2)) (cbrt.f32 (/.f32 1/2 v)))
99.8%
(*.f32 (*.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (pow.f32 (cbrt.f32 (/.f32 1/2 v)) 2)) (cbrt.f32 (/.f32 1/2 v)))
97.4%
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v))
13.6%
(exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))
11.8%
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
99.7%
(exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v)))
6.5%
1
Compiler

Compiled 1096 to 839 computations (23.4% saved)

localize973.0ms (4.9%)

Localize:

Found 17 expressions with local error:

NewAccuracyProgram
99.9%
(pow.f32 (cbrt.f32 (*.f32 1/2 (/.f32 (pow.f32 (exp.f32 1) (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000)) v))) 3)
99.9%
(fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O))
99.7%
(pow.f32 (exp.f32 1) (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000))
99.6%
(cbrt.f32 (*.f32 1/2 (/.f32 (pow.f32 (exp.f32 1) (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000)) v)))
99.8%
(-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))
99.8%
(exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000))
99.0%
(pow.f32 (pow.f32 (*.f32 1/2 (/.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000)) v)) 3) 1/3)
89.4%
(/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)
99.9%
(+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v))
99.9%
(*.f32 (/.f32 1/2 v) (pow.f32 (E.f32) (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v))))
99.7%
(pow.f32 (E.f32) (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)))
100.0%
(-.f32 1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
77.9%
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
99.9%
(-.f32 6931/10000 (/.f32 1 v))
99.8%
(exp.f32 (-.f32 6931/10000 (/.f32 1 v)))
99.6%
(cbrt.f32 (/.f32 1/2 v))
98.4%
(pow.f32 (cbrt.f32 (/.f32 1/2 v)) 2)
Compiler

Compiled 446 to 229 computations (48.7% saved)

series190.0ms (1%)

Counts
12 → 443
Calls

123 calls:

TimeVariablePointExpression
9.0ms
cosTheta_i
@0
(cbrt.f32 (*.f32 1/2 (/.f32 (pow.f32 (exp.f32 1) (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000)) v)))
7.0ms
sinTheta_i
@inf
(cbrt.f32 (*.f32 1/2 (/.f32 (pow.f32 (exp.f32 1) (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000)) v)))
7.0ms
cosTheta_i
@-inf
(cbrt.f32 (*.f32 1/2 (/.f32 (pow.f32 (exp.f32 1) (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000)) v)))
7.0ms
v
@-inf
(cbrt.f32 (*.f32 1/2 (/.f32 (pow.f32 (exp.f32 1) (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000)) v)))
5.0ms
v
@inf
(cbrt.f32 (*.f32 1/2 (/.f32 (pow.f32 (exp.f32 1) (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000)) v)))

rewrite137.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
412×log1p-expm1-u
412×expm1-log1p-u
400×add-exp-log
397×add-log-exp
396×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
055495
1954487
Stop Event
node limit
Counts
12 → 223
Calls
Call 1
Inputs
(exp.f32 (-.f32 6931/10000 (/.f32 1 v)))
(-.f32 6931/10000 (/.f32 1 v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(-.f32 1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(pow.f32 (E.f32) (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)))
(*.f32 (/.f32 1/2 v) (pow.f32 (E.f32) (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v))))
(+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v))
(pow.f32 (pow.f32 (*.f32 1/2 (/.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000)) v)) 3) 1/3)
(cbrt.f32 (*.f32 1/2 (/.f32 (pow.f32 (exp.f32 1) (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000)) v)))
(pow.f32 (exp.f32 1) (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000))
(fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O))
(pow.f32 (cbrt.f32 (*.f32 1/2 (/.f32 (pow.f32 (exp.f32 1) (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000)) v))) 3)
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 (neg.f32 (/.f32 1 v))))
(*.f32 (pow.f32 (cbrt.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))) 2) (cbrt.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))))
(*.f32 (sqrt.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))) (sqrt.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))))
(/.f32 (exp.f32 6931/10000) (exp.f32 (/.f32 1 v)))
(pow.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) 1)
(pow.f32 (E.f32) (-.f32 6931/10000 (/.f32 1 v)))
(pow.f32 (cbrt.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))) 3)
(pow.f32 (pow.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) 3) 1/3)
(pow.f32 (sqrt.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))) 2)
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (-.f32 6931/10000 (/.f32 1 v))) 2)) (cbrt.f32 (-.f32 6931/10000 (/.f32 1 v))))
(pow.f32 (exp.f32 (sqrt.f32 (-.f32 6931/10000 (/.f32 1 v)))) (sqrt.f32 (-.f32 6931/10000 (/.f32 1 v))))
(log.f32 (exp.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))))
(log.f32 (+.f32 1 (expm1.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))))
(cbrt.f32 (pow.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) 3))
(expm1.f32 (log1p.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))))
(log1p.f32 (expm1.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))))
(+.f32 6931/10000 (neg.f32 (/.f32 1 v)))
(+.f32 0 (-.f32 6931/10000 (/.f32 1 v)))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))) 2)) (log.f32 (cbrt.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))) (log.f32 (sqrt.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))))
(*.f32 1 (-.f32 6931/10000 (/.f32 1 v)))
(*.f32 (pow.f32 (cbrt.f32 (-.f32 6931/10000 (/.f32 1 v))) 2) (cbrt.f32 (-.f32 6931/10000 (/.f32 1 v))))
(*.f32 (sqrt.f32 (-.f32 6931/10000 (/.f32 1 v))) (sqrt.f32 (-.f32 6931/10000 (/.f32 1 v))))
(/.f32 (-.f32 332956652491/1000000000000 (pow.f32 v -3)) (+.f32 48038761/100000000 (+.f32 (pow.f32 v -2) (*.f32 6931/10000 (/.f32 1 v)))))
(/.f32 (-.f32 48038761/100000000 (pow.f32 v -2)) (+.f32 6931/10000 (/.f32 1 v)))
(pow.f32 (-.f32 6931/10000 (/.f32 1 v)) 1)
(pow.f32 (cbrt.f32 (-.f32 6931/10000 (/.f32 1 v))) 3)
(pow.f32 (pow.f32 (-.f32 6931/10000 (/.f32 1 v)) 3) 1/3)
(pow.f32 (sqrt.f32 (-.f32 6931/10000 (/.f32 1 v))) 2)
(log.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))
(log.f32 (+.f32 1 (expm1.f32 (-.f32 6931/10000 (/.f32 1 v)))))
(cbrt.f32 (pow.f32 (-.f32 6931/10000 (/.f32 1 v)) 3))
(expm1.f32 (log1p.f32 (-.f32 6931/10000 (/.f32 1 v))))
(log1p.f32 (expm1.f32 (-.f32 6931/10000 (/.f32 1 v))))
(exp.f32 (log.f32 (-.f32 6931/10000 (/.f32 1 v))))
(exp.f32 (*.f32 (log.f32 (-.f32 6931/10000 (/.f32 1 v))) 1))
(-.f32 (+.f32 1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) 1)
(*.f32 1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(*.f32 (*.f32 sinTheta_O sinTheta_i) (/.f32 1 v))
(*.f32 (pow.f32 (cbrt.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) 2) (cbrt.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(*.f32 (sqrt.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (sqrt.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(pow.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) 1)
(pow.f32 (cbrt.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) 3)
(pow.f32 (pow.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) 3) 1/3)
(pow.f32 (sqrt.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) 2)
(pow.f32 (/.f32 v (*.f32 sinTheta_O sinTheta_i)) -1)
(log.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)))
(log.f32 (+.f32 1 (expm1.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(cbrt.f32 (pow.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) 3))
(cbrt.f32 (/.f32 (pow.f32 (*.f32 sinTheta_O sinTheta_i) 3) (pow.f32 v 3)))
(expm1.f32 (log1p.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(log1p.f32 (expm1.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(exp.f32 (log.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(exp.f32 (*.f32 (log.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) 1))
(+.f32 1 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(*.f32 1 (-.f32 1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(*.f32 (cbrt.f32 (pow.f32 (-.f32 1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) 2)) (cbrt.f32 (-.f32 1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(*.f32 (sqrt.f32 (-.f32 1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (sqrt.f32 (-.f32 1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/.f32 (-.f32 1 (pow.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) 2)) (+.f32 1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(/.f32 (-.f32 1 (pow.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) 3)) (+.f32 1 (+.f32 (pow.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) 2) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(pow.f32 (-.f32 1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) 1)
(pow.f32 (cbrt.f32 (-.f32 1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) 3)
(pow.f32 (pow.f32 (-.f32 1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) 3) 1/3)
(pow.f32 (sqrt.f32 (-.f32 1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) 2)
(log.f32 (exp.f32 (-.f32 1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(log.f32 (+.f32 1 (expm1.f32 (-.f32 1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(cbrt.f32 (pow.f32 (-.f32 1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) 3))
(expm1.f32 (log1p.f32 (-.f32 1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(log1p.f32 (expm1.f32 (-.f32 1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (log1p.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (*.f32 (log1p.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) 1))
(-.f32 (exp.f32 (log1p.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v))))) 1)
(*.f32 1 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v))))
(*.f32 (exp.f32 6931/10000) (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)))
(*.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)) (exp.f32 6931/10000))
(*.f32 (cbrt.f32 (pow.f32 (exp.f32 2) (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)))) (cbrt.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)))))
(*.f32 (sqrt.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)))) (sqrt.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)))))
(*.f32 (pow.f32 (E.f32) (/.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)) 2)) (pow.f32 (E.f32) (/.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)) 2)))
(*.f32 (pow.f32 1 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v))) (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v))))
(*.f32 (pow.f32 (cbrt.f32 (exp.f32 2)) (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v))) (pow.f32 (cbrt.f32 (E.f32)) (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v))))
(*.f32 (pow.f32 (sqrt.f32 (E.f32)) (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v))) (pow.f32 (sqrt.f32 (E.f32)) (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v))))
(log.f32 (exp.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)))))
(log.f32 (+.f32 1 (expm1.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v))))))
(cbrt.f32 (pow.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v))) 3))
(expm1.f32 (log1p.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)))))
(log1p.f32 (expm1.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)))))
(exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)))))) 1)
(/.f32 (*.f32 1/2 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)))) v)
(pow.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)))) 1)
(pow.f32 (cbrt.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v))))) 3)
(pow.f32 (pow.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)))) 3) 1/3)
(pow.f32 (sqrt.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v))))) 2)
(log.f32 (pow.f32 (exp.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)))) (/.f32 1/2 v)))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)))))))
(cbrt.f32 (pow.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)))) 3))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 1/2 v) 3) (pow.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v))) 3)))
(cbrt.f32 (*.f32 (pow.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v))) 3) (pow.f32 (/.f32 1/2 v) 3)))
(expm1.f32 (log1p.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v))))))
(log1p.f32 (expm1.f32 (*.f32 (/.f32 1/2 v) (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v))))))
(exp.f32 (+.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)) (log.f32 (/.f32 1/2 v))))
(exp.f32 (*.f32 (+.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)) (log.f32 (/.f32 1/2 v))) 1))
(-.f32 (exp.f32 (log1p.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)))) 1)
(*.f32 1 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)))
(*.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)) 1)
(*.f32 (pow.f32 (cbrt.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v))) 2) (cbrt.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v))))
(*.f32 (sqrt.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v))) (sqrt.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v))))
(/.f32 (-.f32 48038761/100000000 (pow.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v) 2)) (-.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)))
(/.f32 (+.f32 332956652491/1000000000000 (pow.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v) 3)) (+.f32 48038761/100000000 (-.f32 (pow.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v) 2) (*.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)))))
(pow.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)) 1)
(pow.f32 (cbrt.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v))) 3)
(pow.f32 (pow.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)) 3) 1/3)
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(*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (+.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) -1) v))) v))
(*.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (+.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) -1) v))) v) 1/2)
(*.f32 (cbrt.f32 (*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (+.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) -1) v))) v))) (cbrt.f32 (pow.f32 (*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (+.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) -1) v))) v)) 2)))
(*.f32 (cbrt.f32 (pow.f32 (*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (+.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) -1) v))) v)) 2)) (cbrt.f32 (*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (+.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) -1) v))) v))))
(*.f32 (sqrt.f32 (*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (+.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) -1) v))) v))) (sqrt.f32 (*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (+.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) -1) v))) v))))
(*.f32 (pow.f32 (cbrt.f32 1/2) 3) (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (+.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) -1) v))) v))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (+.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) -1) v))) v)))) 2) 3) (cbrt.f32 (*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (+.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) -1) v))) v))))
(*.f32 (pow.f32 (sqrt.f32 (cbrt.f32 (*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (+.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) -1) v))) v)))) 3) (pow.f32 (sqrt.f32 (cbrt.f32 (*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (+.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) -1) v))) v)))) 3))
(/.f32 (*.f32 1/2 (exp.f32 (+.f32 6931/10000 (/.f32 (+.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) -1) v)))) v)
(log.f32 (pow.f32 (exp.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (+.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) -1) v))) v)) 1/2))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (+.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) -1) v))) v)))))
(cbrt.f32 (pow.f32 (*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (+.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) -1) v))) v)) 3))
(expm1.f32 (log1p.f32 (*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (+.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) -1) v))) v))))
(log1p.f32 (expm1.f32 (*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (+.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) -1) v))) v))))
(exp.f32 (+.f32 (-.f32 (+.f32 6931/10000 (/.f32 (+.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) -1) v)) (log.f32 v)) (log.f32 1/2)))
(exp.f32 (*.f32 (+.f32 (-.f32 (+.f32 6931/10000 (/.f32 (+.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) -1) v)) (log.f32 v)) (log.f32 1/2)) 1))

simplify597.0ms (3%)

Algorithm
egg-herbie
Rules
697×associate-*l*
520×fma-define
318×associate-/l*
309×times-frac
306×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0102751539654734
1257351539650979
2793651539650979
Stop Event
node limit
Counts
666 → 563
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
1
(+.f32 1 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(+.f32 1 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(+.f32 1 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(+.f32 1 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(+.f32 1 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(+.f32 1 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(+.f32 1 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(+.f32 1 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(+.f32 1 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
1
(+.f32 1 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(+.f32 1 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(+.f32 1 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(+.f32 1 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(+.f32 1 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(+.f32 1 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(+.f32 1 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(+.f32 1 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(+.f32 1 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(+.f32 1 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(+.f32 1 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(+.f32 1 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
1
(+.f32 1 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(+.f32 1 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(+.f32 1 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
1
(+.f32 1 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(+.f32 1 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(+.f32 1 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 6931/10000 (/.f32 1 v))))
(+.f32 (exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 6931/10000 (/.f32 1 v)))) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 (exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 6931/10000 (/.f32 1 v)))) (log.f32 (E.f32))))) v))
(+.f32 (exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 6931/10000 (/.f32 1 v)))) (+.f32 (*.f32 1/2 (/.f32 (*.f32 (pow.f32 cosTheta_O 2) (*.f32 (pow.f32 cosTheta_i 2) (*.f32 (exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 6931/10000 (/.f32 1 v)))) (pow.f32 (log.f32 (E.f32)) 2)))) (pow.f32 v 2))) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 (exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 6931/10000 (/.f32 1 v)))) (log.f32 (E.f32))))) v)))
(+.f32 (exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 6931/10000 (/.f32 1 v)))) (+.f32 (*.f32 1/6 (/.f32 (*.f32 (pow.f32 cosTheta_O 3) (*.f32 (pow.f32 cosTheta_i 3) (*.f32 (exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 6931/10000 (/.f32 1 v)))) (pow.f32 (log.f32 (E.f32)) 3)))) (pow.f32 v 3))) (+.f32 (*.f32 1/2 (/.f32 (*.f32 (pow.f32 cosTheta_O 2) (*.f32 (pow.f32 cosTheta_i 2) (*.f32 (exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 6931/10000 (/.f32 1 v)))) (pow.f32 (log.f32 (E.f32)) 2)))) (pow.f32 v 2))) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 (exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 6931/10000 (/.f32 1 v)))) (log.f32 (E.f32))))) v))))
(exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))))
(exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))))
(exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))))
(exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))))
(exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))))
(exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))))
(exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))))
(exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))))
(exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 6931/10000 (/.f32 1 v))))
(+.f32 (exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 6931/10000 (/.f32 1 v)))) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 (exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 6931/10000 (/.f32 1 v)))) (log.f32 (E.f32))))) v))
(+.f32 (exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 6931/10000 (/.f32 1 v)))) (+.f32 (*.f32 1/2 (/.f32 (*.f32 (pow.f32 cosTheta_O 2) (*.f32 (pow.f32 cosTheta_i 2) (*.f32 (exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 6931/10000 (/.f32 1 v)))) (pow.f32 (log.f32 (E.f32)) 2)))) (pow.f32 v 2))) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 (exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 6931/10000 (/.f32 1 v)))) (log.f32 (E.f32))))) v)))
(+.f32 (exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 6931/10000 (/.f32 1 v)))) (+.f32 (*.f32 1/6 (/.f32 (*.f32 (pow.f32 cosTheta_O 3) (*.f32 (pow.f32 cosTheta_i 3) (*.f32 (exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 6931/10000 (/.f32 1 v)))) (pow.f32 (log.f32 (E.f32)) 3)))) (pow.f32 v 3))) (+.f32 (*.f32 1/2 (/.f32 (*.f32 (pow.f32 cosTheta_O 2) (*.f32 (pow.f32 cosTheta_i 2) (*.f32 (exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 6931/10000 (/.f32 1 v)))) (pow.f32 (log.f32 (E.f32)) 2)))) (pow.f32 v 2))) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 (exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 6931/10000 (/.f32 1 v)))) (log.f32 (E.f32))))) v))))
(exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))))
(exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))))
(exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))))
(exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))))
(exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))))
(exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))))
(exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))))
(exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))))
(exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))))
(exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))))
(exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))))
(exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))))
(pow.f32 (*.f32 1 (pow.f32 (E.f32) 6931)) 1/10000)
(+.f32 (*.f32 (pow.f32 (*.f32 1 (pow.f32 (E.f32) 6931)) 1/10000) (/.f32 (*.f32 (log.f32 (E.f32)) (-.f32 (*.f32 cosTheta_O cosTheta_i) 1)) v)) (pow.f32 (*.f32 1 (pow.f32 (E.f32) 6931)) 1/10000))
(+.f32 (*.f32 1/2 (*.f32 (pow.f32 (*.f32 1 (pow.f32 (E.f32) 6931)) 1/10000) (/.f32 (*.f32 (pow.f32 (log.f32 (E.f32)) 2) (pow.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) 2)) (pow.f32 v 2)))) (+.f32 (*.f32 (pow.f32 (*.f32 1 (pow.f32 (E.f32) 6931)) 1/10000) (/.f32 (*.f32 (log.f32 (E.f32)) (-.f32 (*.f32 cosTheta_O cosTheta_i) 1)) v)) (pow.f32 (*.f32 1 (pow.f32 (E.f32) 6931)) 1/10000)))
(+.f32 (*.f32 1/6 (*.f32 (pow.f32 (*.f32 1 (pow.f32 (E.f32) 6931)) 1/10000) (/.f32 (*.f32 (pow.f32 (log.f32 (E.f32)) 3) (pow.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) 3)) (pow.f32 v 3)))) (+.f32 (*.f32 1/2 (*.f32 (pow.f32 (*.f32 1 (pow.f32 (E.f32) 6931)) 1/10000) (/.f32 (*.f32 (pow.f32 (log.f32 (E.f32)) 2) (pow.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) 2)) (pow.f32 v 2)))) (+.f32 (*.f32 (pow.f32 (*.f32 1 (pow.f32 (E.f32) 6931)) 1/10000) (/.f32 (*.f32 (log.f32 (E.f32)) (-.f32 (*.f32 cosTheta_O cosTheta_i) 1)) v)) (pow.f32 (*.f32 1 (pow.f32 (E.f32) 6931)) 1/10000))))
(pow.f32 (*.f32 1 (pow.f32 (E.f32) 6931)) 1/10000)
(+.f32 (*.f32 (pow.f32 (*.f32 1 (pow.f32 (E.f32) 6931)) 1/10000) (/.f32 (*.f32 (log.f32 (E.f32)) (-.f32 (*.f32 cosTheta_O cosTheta_i) 1)) v)) (pow.f32 (*.f32 1 (pow.f32 (E.f32) 6931)) 1/10000))
(+.f32 (*.f32 1/2 (*.f32 (pow.f32 (*.f32 1 (pow.f32 (E.f32) 6931)) 1/10000) (/.f32 (*.f32 (pow.f32 (log.f32 (E.f32)) 2) (pow.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) 2)) (pow.f32 v 2)))) (+.f32 (*.f32 (pow.f32 (*.f32 1 (pow.f32 (E.f32) 6931)) 1/10000) (/.f32 (*.f32 (log.f32 (E.f32)) (-.f32 (*.f32 cosTheta_O cosTheta_i) 1)) v)) (pow.f32 (*.f32 1 (pow.f32 (E.f32) 6931)) 1/10000)))
(+.f32 (*.f32 1/6 (*.f32 (pow.f32 (*.f32 1 (pow.f32 (E.f32) 6931)) 1/10000) (/.f32 (*.f32 (pow.f32 (log.f32 (E.f32)) 3) (pow.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) 3)) (pow.f32 v 3)))) (+.f32 (*.f32 1/2 (*.f32 (pow.f32 (*.f32 1 (pow.f32 (E.f32) 6931)) 1/10000) (/.f32 (*.f32 (pow.f32 (log.f32 (E.f32)) 2) (pow.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) 2)) (pow.f32 v 2)))) (+.f32 (*.f32 (pow.f32 (*.f32 1 (pow.f32 (E.f32) 6931)) 1/10000) (/.f32 (*.f32 (log.f32 (E.f32)) (-.f32 (*.f32 cosTheta_O cosTheta_i) 1)) v)) (pow.f32 (*.f32 1 (pow.f32 (E.f32) 6931)) 1/10000))))
(*.f32 1/2 (/.f32 (exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v)))) v))
(*.f32 1/2 (/.f32 (exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v)))) v))
(*.f32 1/2 (/.f32 (exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v)))) v))
(*.f32 1/2 (/.f32 (exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v)))) v))
(*.f32 1/2 (*.f32 (pow.f32 (*.f32 1 (pow.f32 (E.f32) 6931)) 1/10000) (/.f32 1 v)))
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(log.f32 (+.f32 1 (expm1.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (+.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) -1) v))))))
(cbrt.f32 (pow.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (+.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) -1) v))) 3))
(expm1.f32 (log1p.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (+.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) -1) v)))))
(log1p.f32 (expm1.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (+.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) -1) v)))))
(exp.f32 (+.f32 6931/10000 (/.f32 (+.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) -1) v)))
(+.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))
(-.f32 (exp.f32 (log1p.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)))) 1)
(*.f32 1 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)))
(*.f32 (pow.f32 (cbrt.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i))) 2) (cbrt.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i))))
(*.f32 (sqrt.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i))) (sqrt.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i))))
(pow.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) 1)
(pow.f32 (cbrt.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i))) 3)
(pow.f32 (pow.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) 3) 1/3)
(pow.f32 (sqrt.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i))) 2)
(log.f32 (exp.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i))))
(log.f32 (+.f32 1 (expm1.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)))))
(cbrt.f32 (pow.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) 3))
(expm1.f32 (log1p.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i))))
(log1p.f32 (expm1.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i))))
(exp.f32 (log.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i))))
(exp.f32 (*.f32 (log.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i))) 1))
(-.f32 (exp.f32 (log1p.f32 (*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (+.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) -1) v))) v)))) 1)
(*.f32 1 (*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (+.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) -1) v))) v)))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (+.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) -1) v))) v))
(*.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (+.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) -1) v))) v) 1/2)
(*.f32 (cbrt.f32 (*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (+.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) -1) v))) v))) (cbrt.f32 (pow.f32 (*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (+.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) -1) v))) v)) 2)))
(*.f32 (cbrt.f32 (pow.f32 (*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (+.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) -1) v))) v)) 2)) (cbrt.f32 (*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (+.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) -1) v))) v))))
(*.f32 (sqrt.f32 (*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (+.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) -1) v))) v))) (sqrt.f32 (*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (+.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) -1) v))) v))))
(*.f32 (pow.f32 (cbrt.f32 1/2) 3) (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (+.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) -1) v))) v))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (+.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) -1) v))) v)))) 2) 3) (cbrt.f32 (*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (+.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) -1) v))) v))))
(*.f32 (pow.f32 (sqrt.f32 (cbrt.f32 (*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (+.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) -1) v))) v)))) 3) (pow.f32 (sqrt.f32 (cbrt.f32 (*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (+.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) -1) v))) v)))) 3))
(/.f32 (*.f32 1/2 (exp.f32 (+.f32 6931/10000 (/.f32 (+.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) -1) v)))) v)
(log.f32 (pow.f32 (exp.f32 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (+.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) -1) v))) v)) 1/2))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (+.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) -1) v))) v)))))
(cbrt.f32 (pow.f32 (*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (+.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) -1) v))) v)) 3))
(expm1.f32 (log1p.f32 (*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (+.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) -1) v))) v))))
(log1p.f32 (expm1.f32 (*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (+.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) -1) v))) v))))
(exp.f32 (+.f32 (-.f32 (+.f32 6931/10000 (/.f32 (+.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) -1) v)) (log.f32 v)) (log.f32 1/2)))
(exp.f32 (*.f32 (+.f32 (-.f32 (+.f32 6931/10000 (/.f32 (+.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) -1) v)) (log.f32 v)) (log.f32 1/2)) 1))
Outputs
(exp.f32 6931/10000)
(+.f32 (exp.f32 6931/10000) (*.f32 -1 (/.f32 (exp.f32 6931/10000) v)))
(+.f32 (exp.f32 6931/10000) (neg.f32 (/.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 (exp.f32 6931/10000) (/.f32 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 (exp.f32 6931/10000) (/.f32 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) (neg.f32 (/.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 (exp.f32 6931/10000) (/.f32 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 (exp.f32 6931/10000) (/.f32 1/2 (pow.f32 v 2)))))
(/.f32 -1 v)
6931/10000
6931/10000
1
(+.f32 1 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(-.f32 1 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(+.f32 1 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(-.f32 1 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(+.f32 1 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(-.f32 1 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(neg.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(*.f32 sinTheta_O (neg.f32 (/.f32 sinTheta_i v)))
(+.f32 1 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(-.f32 1 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(+.f32 1 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(-.f32 1 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(+.f32 1 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(-.f32 1 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(neg.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(*.f32 sinTheta_O (neg.f32 (/.f32 sinTheta_i v)))
(+.f32 1 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(-.f32 1 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(+.f32 1 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(-.f32 1 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(+.f32 1 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(-.f32 1 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
1
(+.f32 1 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(-.f32 1 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(+.f32 1 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(-.f32 1 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(+.f32 1 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(-.f32 1 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(neg.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(*.f32 sinTheta_O (neg.f32 (/.f32 sinTheta_i v)))
(+.f32 1 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(-.f32 1 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(+.f32 1 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(-.f32 1 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(+.f32 1 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(-.f32 1 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(neg.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(*.f32 sinTheta_O (neg.f32 (/.f32 sinTheta_i v)))
(+.f32 1 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(-.f32 1 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(+.f32 1 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(-.f32 1 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(+.f32 1 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(-.f32 1 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(neg.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(*.f32 sinTheta_O (neg.f32 (/.f32 sinTheta_i v)))
(+.f32 1 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(-.f32 1 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(+.f32 1 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(-.f32 1 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(+.f32 1 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(-.f32 1 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
1
(+.f32 1 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(-.f32 1 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(+.f32 1 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(-.f32 1 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(+.f32 1 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(-.f32 1 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
1
(+.f32 1 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(-.f32 1 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(+.f32 1 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(-.f32 1 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(+.f32 1 (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(-.f32 1 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 6931/10000 (/.f32 1 v))))
(exp.f32 (-.f32 6931/10000 (/.f32 1 v)))
(exp.f32 (+.f32 6931/10000 (/.f32 -1 v)))
(+.f32 (exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 6931/10000 (/.f32 1 v)))) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 (exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 6931/10000 (/.f32 1 v)))) (log.f32 (E.f32))))) v))
(+.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))) v))
(fma.f32 cosTheta_O (*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (/.f32 cosTheta_i v)) (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))))
(+.f32 (exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 6931/10000 (/.f32 1 v)))) (+.f32 (*.f32 1/2 (/.f32 (*.f32 (pow.f32 cosTheta_O 2) (*.f32 (pow.f32 cosTheta_i 2) (*.f32 (exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 6931/10000 (/.f32 1 v)))) (pow.f32 (log.f32 (E.f32)) 2)))) (pow.f32 v 2))) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 (exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 6931/10000 (/.f32 1 v)))) (log.f32 (E.f32))))) v)))
(+.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (fma.f32 1/2 (*.f32 (pow.f32 cosTheta_O 2) (/.f32 (*.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (pow.f32 cosTheta_i 2)) (pow.f32 v 2))) (/.f32 (*.f32 (*.f32 cosTheta_O 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 (pow.f32 cosTheta_O 2) (*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (/.f32 (pow.f32 cosTheta_i 2) (pow.f32 v 2)))) (*.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v))))
(+.f32 (exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 6931/10000 (/.f32 1 v)))) (+.f32 (*.f32 1/6 (/.f32 (*.f32 (pow.f32 cosTheta_O 3) (*.f32 (pow.f32 cosTheta_i 3) (*.f32 (exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 6931/10000 (/.f32 1 v)))) (pow.f32 (log.f32 (E.f32)) 3)))) (pow.f32 v 3))) (+.f32 (*.f32 1/2 (/.f32 (*.f32 (pow.f32 cosTheta_O 2) (*.f32 (pow.f32 cosTheta_i 2) (*.f32 (exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 6931/10000 (/.f32 1 v)))) (pow.f32 (log.f32 (E.f32)) 2)))) (pow.f32 v 2))) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 (exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 6931/10000 (/.f32 1 v)))) (log.f32 (E.f32))))) v))))
(+.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (fma.f32 1/6 (/.f32 (*.f32 (*.f32 (pow.f32 cosTheta_O 3) (pow.f32 cosTheta_i 3)) (exp.f32 (-.f32 6931/10000 (/.f32 1 v)))) (pow.f32 v 3)) (fma.f32 1/2 (*.f32 (pow.f32 cosTheta_O 2) (/.f32 (*.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (pow.f32 cosTheta_i 2)) (pow.f32 v 2))) (/.f32 (*.f32 (*.f32 cosTheta_O 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 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (/.f32 (pow.f32 cosTheta_i 3) (pow.f32 v 3)))) (fma.f32 1/2 (*.f32 (pow.f32 cosTheta_O 2) (*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) (/.f32 (pow.f32 cosTheta_i 2) (pow.f32 v 2)))) (*.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 -1 v))) v)))))
(exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))))
(exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)))
(exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))))
(exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)))
(exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))))
(exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v)))
(exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))))
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(expm1.f32 (log1p.f32 (*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (+.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) -1) v))) v))))
(expm1.f32 (log1p.f32 (*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (+.f32 -1 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i))) v))) v))))
(expm1.f32 (log1p.f32 (*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O sinTheta_i -1)) v))) (/.f32 1/2 v))))
(log1p.f32 (expm1.f32 (*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (+.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) -1) v))) v))))
(*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (+.f32 -1 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i))) v))) v))
(*.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O sinTheta_i -1)) v))) (/.f32 1/2 v))
(exp.f32 (+.f32 (-.f32 (+.f32 6931/10000 (/.f32 (+.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) -1) v)) (log.f32 v)) (log.f32 1/2)))
(exp.f32 (+.f32 (log.f32 1/2) (+.f32 6931/10000 (-.f32 (/.f32 (+.f32 -1 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i))) v) (log.f32 v)))))
(*.f32 1/2 (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O sinTheta_i -1)) v) (log.f32 v)))))
(exp.f32 (*.f32 (+.f32 (-.f32 (+.f32 6931/10000 (/.f32 (+.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) -1) v)) (log.f32 v)) (log.f32 1/2)) 1))
(exp.f32 (+.f32 (log.f32 1/2) (+.f32 6931/10000 (-.f32 (/.f32 (+.f32 -1 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i))) v) (log.f32 v)))))
(*.f32 1/2 (exp.f32 (+.f32 6931/10000 (-.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O sinTheta_i -1)) v) (log.f32 v)))))

eval643.0ms (3.2%)

Compiler

Compiled 31703 to 21495 computations (32.2% saved)

prune241.0ms (1.2%)

Pruning

24 alts after pruning (21 fresh and 3 done)

PrunedKeptTotal
New85210862
Fresh51116
Picked415
Done022
Total86124885
Accuracy
100.0%
Counts
885 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(pow.f32 (pow.f32 (*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (+.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) -1) v))) v)) 1/3) 3)
99.0%
(pow.f32 (pow.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 1/2 v)))) (/.f32 1 v))) 3) 1/3)
99.7%
(pow.f32 (*.f32 (pow.f32 (pow.f32 (cbrt.f32 (*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_i) sinTheta_O)) 1) v))) v))) 2) 1/3) (cbrt.f32 (cbrt.f32 (*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_i) sinTheta_O)) 1) v))) v))))) 3)
99.7%
(pow.f32 (*.f32 (pow.f32 (sqrt.f32 (*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (+.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) -1) v))) v))) 1/3) (pow.f32 (sqrt.f32 (*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (+.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) -1) v))) v))) 1/3)) 3)
99.7%
(pow.f32 (cbrt.f32 (*.f32 1/2 (/.f32 (pow.f32 (exp.f32 1) (+.f32 (/.f32 (-.f32 (*.f32 sinTheta_O sinTheta_i) 1) v) 6931/10000)) v))) 3)
99.7%
(/.f32 (*.f32 (pow.f32 (cbrt.f32 1/2) 3) (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 1 v)))) v)
92.6%
(/.f32 (exp.f32 (+.f32 6931/10000 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 1/2 v))))) (exp.f32 (/.f32 1 v)))
99.6%
(/.f32 1 (/.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)) -6931/10000)) (/.f32 1/2 v)))
99.6%
(/.f32 1 (exp.f32 (-.f32 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))))))
98.9%
(*.f32 (/.f32 1/2 v) (pow.f32 (pow.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))) 3) 1/3))
99.6%
(*.f32 (/.f32 1/2 v) (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000)) 2)) (cbrt.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000))))
99.7%
(*.f32 (/.f32 1/2 v) (pow.f32 (E.f32) (-.f32 6931/10000 (/.f32 1 v))))
99.7%
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))
99.6%
(*.f32 (*.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (-.f32 6931/10000 (/.f32 1 v))) 2)) (cbrt.f32 (-.f32 6931/10000 (/.f32 1 v)))) (pow.f32 (cbrt.f32 (/.f32 1/2 v)) 2)) (cbrt.f32 (/.f32 1/2 v)))
99.8%
(*.f32 (*.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (pow.f32 (pow.f32 (pow.f32 (/.f32 1/2 v) 1/6) 2) 2)) (cbrt.f32 (/.f32 1/2 v)))
99.8%
(*.f32 (*.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (pow.f32 (cbrt.f32 (/.f32 1/2 v)) 2)) (cbrt.f32 (/.f32 1/2 v)))
23.4%
(*.f32 sinTheta_O (neg.f32 (/.f32 sinTheta_i v)))
99.7%
(*.f32 1/2 (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) (-.f32 6931/10000 (log.f32 v)))))
41.4%
(*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
97.4%
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v))
13.6%
(exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))
11.8%
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
99.7%
(exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v)))
6.5%
1
Compiler

Compiled 1570 to 1079 computations (31.3% saved)

regimes216.0ms (1.1%)

Counts
51 → 1
Calls
Call 1
Inputs
1
(*.f32 sinTheta_O (neg.f32 (/.f32 sinTheta_i v)))
(*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(-.f32 1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 (/.f32 1/2 v) (exp.f32 6931/10000))
(exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v))))
(exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v))
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))
(*.f32 (/.f32 1/2 v) (pow.f32 (E.f32) (-.f32 6931/10000 (/.f32 1 v))))
(exp.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) (*.f32 sinTheta_O sinTheta_i)) v))
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v)))
(*.f32 (/.f32 1/2 v) (pow.f32 (E.f32) (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v))))
(exp.f32 (-.f32 (+.f32 6931/10000 (+.f32 (log.f32 (/.f32 1/2 v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 1 v)))
(/.f32 1 (/.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 1 v)) -6931/10000)) (/.f32 1/2 v)))
(/.f32 1 (exp.f32 (-.f32 (+.f32 (/.f32 1 v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (+.f32 6931/10000 (log.f32 (/.f32 1/2 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)))
(*.f32 (/.f32 1/2 v) (pow.f32 (exp.f32 1) (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000)))
(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)))))
(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 1/2 (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i 1)) v) (-.f32 6931/10000 (log.f32 v)))))
(/.f32 (*.f32 (pow.f32 (cbrt.f32 1/2) 3) (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 1 v)))) v)
(pow.f32 (cbrt.f32 (*.f32 1/2 (/.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))) v))) 3)
(*.f32 (/.f32 1/2 v) (pow.f32 (pow.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))) 3) 1/3))
(pow.f32 (cbrt.f32 (*.f32 1/2 (/.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000)) v))) 3)
(*.f32 (/.f32 1/2 v) (pow.f32 (pow.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000)) 3) 1/3))
(pow.f32 (pow.f32 (*.f32 1/2 (/.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000)) v)) 3) 1/3)
(/.f32 (exp.f32 (+.f32 6931/10000 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 1/2 v))))) (exp.f32 (/.f32 1 v)))
(*.f32 (*.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (pow.f32 (cbrt.f32 (/.f32 1/2 v)) 2)) (cbrt.f32 (/.f32 1/2 v)))
(pow.f32 (cbrt.f32 (*.f32 1/2 (/.f32 (pow.f32 (exp.f32 1) (+.f32 (/.f32 (-.f32 (*.f32 sinTheta_O sinTheta_i) 1) v) 6931/10000)) v))) 3)
(pow.f32 (pow.f32 (*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (+.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) -1) v))) v)) 1/3) 3)
(pow.f32 (pow.f32 (*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_i) sinTheta_O)) 1) v))) v)) 1/3) 3)
(*.f32 (*.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))) (pow.f32 (cbrt.f32 (/.f32 1/2 v)) 2)) (cbrt.f32 (/.f32 1/2 v)))
(*.f32 (*.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000)) (pow.f32 (cbrt.f32 (/.f32 1/2 v)) 2)) (cbrt.f32 (/.f32 1/2 v)))
(pow.f32 (pow.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 1/2 v)))) (/.f32 1 v))) 3) 1/3)
(*.f32 (*.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (pow.f32 (pow.f32 (pow.f32 (/.f32 1/2 v) 1/6) 2) 2)) (cbrt.f32 (/.f32 1/2 v)))
(*.f32 (*.f32 (pow.f32 (E.f32) (+.f32 6931/10000 (/.f32 (fma.f32 cosTheta_O cosTheta_i -1) v))) (pow.f32 (cbrt.f32 (/.f32 1/2 v)) 2)) (cbrt.f32 (/.f32 1/2 v)))
(pow.f32 (cbrt.f32 (*.f32 1/2 (/.f32 (pow.f32 (exp.f32 1) (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000)) v))) 3)
(/.f32 (pow.f32 (exp.f32 (/.f32 cosTheta_O v)) cosTheta_i) (exp.f32 (-.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 1 v)) -6931/10000) (log.f32 (/.f32 1/2 v)))))
(*.f32 (*.f32 (exp.f32 (-.f32 (+.f32 6931/10000 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 1 v))) (pow.f32 (pow.f32 (pow.f32 (/.f32 1/2 v) 1/6) 2) 2)) (cbrt.f32 (/.f32 1/2 v)))
(*.f32 (*.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000)) (pow.f32 (pow.f32 (pow.f32 (/.f32 1/2 v) 1/6) 2) 2)) (cbrt.f32 (/.f32 1/2 v)))
(*.f32 (/.f32 1/2 v) (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000)) 2)) (cbrt.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 1 v)) 6931/10000))))
(*.f32 (*.f32 (pow.f32 (exp.f32 1) (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000)) (pow.f32 (cbrt.f32 (/.f32 1/2 v)) 2)) (cbrt.f32 (/.f32 1/2 v)))
(*.f32 (*.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (-.f32 6931/10000 (/.f32 1 v))) 2)) (cbrt.f32 (-.f32 6931/10000 (/.f32 1 v)))) (pow.f32 (cbrt.f32 (/.f32 1/2 v)) 2)) (cbrt.f32 (/.f32 1/2 v)))
(pow.f32 (*.f32 (pow.f32 (sqrt.f32 (*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (+.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) -1) v))) v))) 1/3) (pow.f32 (sqrt.f32 (*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (+.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) -1) v))) v))) 1/3)) 3)
(pow.f32 (*.f32 (pow.f32 (sqrt.f32 (*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_i) sinTheta_O)) 1) v))) v))) 1/3) (pow.f32 (sqrt.f32 (*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_i) sinTheta_O)) 1) v))) v))) 1/3)) 3)
(*.f32 (*.f32 (pow.f32 (exp.f32 (cbrt.f32 (pow.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000) 2))) (cbrt.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)) 1) v) 6931/10000))) (pow.f32 (cbrt.f32 (/.f32 1/2 v)) 2)) (cbrt.f32 (/.f32 1/2 v)))
(pow.f32 (*.f32 (pow.f32 (pow.f32 (cbrt.f32 (*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_i) sinTheta_O)) 1) v))) v))) 2) 1/3) (cbrt.f32 (cbrt.f32 (*.f32 1/2 (/.f32 (exp.f32 (+.f32 6931/10000 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_i) sinTheta_O)) 1) v))) v))))) 3)
Outputs
(*.f32 (*.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (pow.f32 (cbrt.f32 (/.f32 1/2 v)) 2)) (cbrt.f32 (/.f32 1/2 v)))
Calls

9 calls:

38.0ms
cosTheta_O
36.0ms
sinTheta_O
31.0ms
sinTheta_i
31.0ms
cosTheta_i
17.0ms
(*.f32 cosTheta_i cosTheta_O)
Results
AccuracySegmentsBranch
99.8%1cosTheta_i
99.8%1cosTheta_O
99.8%1sinTheta_i
99.8%1sinTheta_O
99.8%1v
99.8%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)))))
99.8%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))))
99.8%1(*.f32 cosTheta_i cosTheta_O)
99.8%1(*.f32 sinTheta_i sinTheta_O)
Compiler

Compiled 105 to 80 computations (23.8% saved)

regimes129.0ms (0.7%)

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

9 calls:

20.0ms
(*.f32 cosTheta_i cosTheta_O)
18.0ms
sinTheta_i
16.0ms
sinTheta_O
15.0ms
cosTheta_i
15.0ms
cosTheta_O
Results
AccuracySegmentsBranch
99.7%1cosTheta_i
99.7%1cosTheta_O
99.7%1sinTheta_i
99.7%1sinTheta_O
99.7%1v
99.7%1(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v)))))
99.7%1(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 1 v)) 6931/10000) (log.f32 (/.f32 1 (*.f32 2 v))))
99.7%1(*.f32 cosTheta_i cosTheta_O)
99.7%1(*.f32 sinTheta_i sinTheta_O)
Compiler

Compiled 105 to 80 computations (23.8% saved)

regimes43.0ms (0.2%)

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

5 calls:

9.0ms
sinTheta_i
8.0ms
v
8.0ms
sinTheta_O
8.0ms
cosTheta_i
8.0ms
cosTheta_O
Results
AccuracySegmentsBranch
99.7%1cosTheta_i
99.7%1cosTheta_O
99.7%1sinTheta_i
99.7%1sinTheta_O
99.7%1v
Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes34.0ms (0.2%)

Counts
10 → 1
Calls
Call 1
Inputs
1
(*.f32 sinTheta_O (neg.f32 (/.f32 sinTheta_i v)))
(*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(-.f32 1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 (/.f32 1/2 v) (exp.f32 6931/10000))
(exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v))))
(exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v))
Outputs
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v))
Calls

5 calls:

7.0ms
cosTheta_i
7.0ms
sinTheta_i
6.0ms
sinTheta_O
6.0ms
cosTheta_O
6.0ms
v
Results
AccuracySegmentsBranch
97.4%1cosTheta_i
97.4%1cosTheta_O
97.4%1sinTheta_i
97.4%1sinTheta_O
97.4%1v
Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes47.0ms (0.2%)

Counts
9 → 3
Calls
Call 1
Inputs
1
(*.f32 sinTheta_O (neg.f32 (/.f32 sinTheta_i v)))
(*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(-.f32 1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 (/.f32 1/2 v) (exp.f32 6931/10000))
(exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v))))
(exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))
Outputs
(exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))
(*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
Calls

5 calls:

17.0ms
sinTheta_O
11.0ms
sinTheta_i
6.0ms
v
6.0ms
cosTheta_i
6.0ms
cosTheta_O
Results
AccuracySegmentsBranch
41.4%1cosTheta_i
41.4%1cosTheta_O
41.4%1v
44.7%2sinTheta_i
48.5%3sinTheta_O
Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes16.0ms (0.1%)

Counts
8 → 3
Calls
Call 1
Inputs
1
(*.f32 sinTheta_O (neg.f32 (/.f32 sinTheta_i v)))
(*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(-.f32 1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(*.f32 1/2 (/.f32 (exp.f32 6931/10000) v))
(*.f32 (/.f32 1/2 v) (exp.f32 6931/10000))
(exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v))))
Outputs
(exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v))))
(*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
Calls

1 calls:

15.0ms
sinTheta_O
Results
AccuracySegmentsBranch
48.5%3sinTheta_O
Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes10.0ms (0.1%)

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

1 calls:

10.0ms
sinTheta_O
Results
AccuracySegmentsBranch
45.0%2sinTheta_O
Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes12.0ms (0.1%)

Counts
4 → 1
Calls
Call 1
Inputs
1
(*.f32 sinTheta_O (neg.f32 (/.f32 sinTheta_i v)))
(*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(-.f32 1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
Outputs
(*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
Calls

2 calls:

7.0ms
sinTheta_i
4.0ms
sinTheta_O
Results
AccuracySegmentsBranch
41.4%1sinTheta_i
41.4%1sinTheta_O
Compiler

Compiled 12 to 10 computations (16.7% saved)

regimes17.0ms (0.1%)

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

5 calls:

3.0ms
v
3.0ms
cosTheta_O
3.0ms
sinTheta_i
3.0ms
cosTheta_i
3.0ms
sinTheta_O
Results
AccuracySegmentsBranch
23.4%1v
23.4%1sinTheta_O
23.4%1cosTheta_i
23.4%1cosTheta_O
23.4%1sinTheta_i
Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes13.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
1
Outputs
1
Calls

5 calls:

3.0ms
sinTheta_i
3.0ms
cosTheta_O
3.0ms
v
3.0ms
cosTheta_i
3.0ms
sinTheta_O
Results
AccuracySegmentsBranch
6.5%1v
6.5%1sinTheta_O
6.5%1cosTheta_i
6.5%1cosTheta_O
6.5%1sinTheta_i
Compiler

Compiled 30 to 25 computations (16.7% saved)

bsearch0.0ms (0%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
0.0ms
2.466111936882953e-6
3.6611133964470355e-6
0.0ms
-8.458551426582577e-28
-5.396517333931255e-28
Compiler

Compiled 38 to 29 computations (23.7% saved)

bsearch0.0ms (0%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
0.0ms
2.466111936882953e-6
3.6611133964470355e-6
0.0ms
-8.458551426582577e-28
-5.396517333931255e-28
Compiler

Compiled 38 to 29 computations (23.7% saved)

bsearch0.0ms (0%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
2.466111936882953e-6
3.6611133964470355e-6
Compiler

Compiled 38 to 29 computations (23.7% saved)

simplify12.0ms (0.1%)

Algorithm
egg-herbie
Rules
17×*-commutative
13×+-commutative
12×sub-neg
neg-sub0
neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061499
193499
2122499
3141499
4146499
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(*.f32 (*.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (pow.f32 (cbrt.f32 (/.f32 1/2 v)) 2)) (cbrt.f32 (/.f32 1/2 v)))
(exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v)))
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v))
(if (<=.f32 sinTheta_O -1557689/2596148429267413814265248164610048) (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v)) (if (<=.f32 sinTheta_O 3298535/1099511627776) (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(if (<=.f32 sinTheta_O -1557689/2596148429267413814265248164610048) (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)))) (if (<=.f32 sinTheta_O 3298535/1099511627776) (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(if (<=.f32 sinTheta_O 3298535/1099511627776) (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(*.f32 sinTheta_O (neg.f32 (/.f32 sinTheta_i v)))
1
Outputs
(*.f32 (*.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (pow.f32 (cbrt.f32 (/.f32 1/2 v)) 2)) (cbrt.f32 (/.f32 1/2 v)))
(*.f32 (cbrt.f32 (/.f32 1/2 v)) (*.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (pow.f32 (cbrt.f32 (/.f32 1/2 v)) 2)))
(exp.f32 (-.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 1 v)))
(exp.f32 (+.f32 (+.f32 6931/10000 (log.f32 (/.f32 1/2 v))) (/.f32 -1 v)))
(*.f32 (/.f32 1/2 v) (exp.f32 (-.f32 6931/10000 (/.f32 1 v))))
(*.f32 (exp.f32 (-.f32 6931/10000 (/.f32 1 v))) (/.f32 1/2 v))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) 1) v))
(exp.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) -1) v))
(if (<=.f32 sinTheta_O -1557689/2596148429267413814265248164610048) (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v)) (if (<=.f32 sinTheta_O 3298535/1099511627776) (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(if (<=.f32 sinTheta_O -1557689/2596148429267413814265248164610048) (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v)) (if (<=.f32 sinTheta_O 3298535/1099511627776) (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(if (<=.f32 sinTheta_O -1557689/2596148429267413814265248164610048) (exp.f32 (/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v)) (if (<=.f32 sinTheta_O 3298535/1099511627776) (/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(if (<=.f32 sinTheta_O -1557689/2596148429267413814265248164610048) (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)))) (if (<=.f32 sinTheta_O 3298535/1099511627776) (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(if (<=.f32 sinTheta_O -1557689/2596148429267413814265248164610048) (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)))) (if (<=.f32 sinTheta_O 3298535/1099511627776) (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(if (<=.f32 sinTheta_O -1557689/2596148429267413814265248164610048) (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)))) (if (<=.f32 sinTheta_O 3298535/1099511627776) (/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(if (<=.f32 sinTheta_O 3298535/1099511627776) (*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(if (<=.f32 sinTheta_O 3298535/1099511627776) (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(if (<=.f32 sinTheta_O 3298535/1099511627776) (/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(*.f32 -1 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v)
(*.f32 sinTheta_O (neg.f32 (/.f32 sinTheta_i v)))
(*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)))
1
Compiler

Compiled 180 to 132 computations (26.7% saved)

soundness3.2s (16.1%)

Rules
795×exp-diff
795×exp-diff
750×times-frac
750×times-frac
697×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01732130
14851898
214481854
357471854
035465
1518432
27461432
077755922
1205052595
2758452595
099251825
1228348500
2784848390
0102751539654734
1257351539650979
2793651539650979
046574
1750530
099251825
1228348500
2784848390
077755922
1205052595
2758452595
01732130
14851898
214481854
357471854
Stop Event
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 932 to 498 computations (46.6% saved)

end0.0ms (0%)

preprocess109.0ms (0.6%)

Remove

(sort sinTheta_i sinTheta_O)

(sort cosTheta_i cosTheta_O)

Compiler

Compiled 1066 to 822 computations (22.9% saved)

Profiling

Loading profile data...