HairBSDF, Mp, lower

Time bar (total: 18.2s)

analyze1.2s (6.7%)

Algorithm
1×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
0%0%1.5%97%0%1.5%0%11
0%0%1.5%97%0%1.5%0%12
Compiler

Compiled 69 to 51 computations (26.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 354.0ms
Operation ival-mult, time spent: 90.0ms, 25.0% of total-time
Operation ival-<=, time spent: 90.0ms, 25.0% of total-time
Operation ival-div, time spent: 48.0ms, 14.0% of total-time
Operation ival-add, time spent: 29.0ms, 8.0% of total-time
Operation ival-log, time spent: 24.0ms, 7.0% of total-time
Operation ival-sub, time spent: 20.0ms, 6.0% of total-time
Operation ival-and, time spent: 20.0ms, 6.0% of total-time
Operation const, time spent: 17.0ms, 5.0% of total-time
Operation ival-exp, time spent: 15.0ms, 4.0% of total-time

sample4.5s (24.8%)

Results
4.0s8255×256valid
60.0ms139×256invalid
0.0ms1×256valid
Precisions
Click to see histograms. Total time spent on operations: 2.2s
Operation ival-<=, time spent: 932.0ms, 43.0% of total-time
Operation ival-div, time spent: 290.0ms, 13.0% of total-time
Operation ival-mult, time spent: 260.0ms, 12.0% of total-time
Operation ival-log, time spent: 171.0ms, 8.0% of total-time
Operation ival-add, time spent: 134.0ms, 6.0% of total-time
Operation ival-sub, time spent: 128.0ms, 6.0% of total-time
Operation ival-exp, time spent: 116.0ms, 5.0% of total-time
Operation ival-and, time spent: 84.0ms, 4.0% of total-time
Operation const, time spent: 64.0ms, 3.0% of total-time
Bogosity

preprocess651.0ms (3.6%)

Algorithm
1×egg-herbie
Rules
1590×exp-diff
1500×times-frac
914×fmm-def
660×fma-define
552×associate-+l-
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1042(1.8861576822003005e-38 1.0803491033827623e-32 -7.440021449563443e-26 -6.139833462641409e-27 1.5997001412415557e-7)33(-7.63914653756359e-10 -7.159079449350391e-33 -6.811273693234036e-28 4.856939435598888e-15 4.755860283497601e-14)(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
925(-1.8331984093380727e-38 1.3269830426910566e-19 -5.530391613260529e-28 5.789787108055327e-19 8.614527277281403e-13)33(-7.63914653756359e-10 -7.159079449350391e-33 -6.811273693234036e-28 4.856939435598888e-15 4.755860283497601e-14)(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
02(-0.24419395625591278 -7.159160678361022e-29 1.1035267109200233e-36 3.0595860399558936e-22 0.0037565629463642836)0-(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
00-0-cosTheta_O
00-0-(-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v))
00-0-(-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
00-0-#s(literal 6931/10000 binary32)
00-0-(*.f32 cosTheta_i cosTheta_O)
00-0-#s(literal 1 binary32)
00-0-(log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))
00-0-(*.f32 sinTheta_i sinTheta_O)
00-0-(*.f32 #s(literal 2 binary32) v)
00-0-sinTheta_O
00-0-(+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))
00-0-v
00-0-cosTheta_i
00-0-sinTheta_i
00-0-(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))
00-0-#s(literal 2 binary32)
00-0-(/.f32 #s(literal 1 binary32) v)
00-0-(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01732130
14851898
214481854
357471854
Stop Event
1×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 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 (neg.f32 cosTheta_i) cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i (neg.f32 cosTheta_O)) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 (neg.f32 sinTheta_i) sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) 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 #s(literal 1 binary32) (neg.f32 v))) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (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 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) 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 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) 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 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) 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 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) 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 #s(literal 1 binary32) (neg.f32 v))) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 v)))))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 sinTheta_i cosTheta_O) v) (/.f32 (*.f32 cosTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 sinTheta_O cosTheta_O) v) (/.f32 (*.f32 sinTheta_i cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 v cosTheta_O) cosTheta_i) (/.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i)) (/.f32 #s(literal 1 binary32) cosTheta_i)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta_i)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i sinTheta_i) v) (/.f32 (*.f32 cosTheta_O sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i sinTheta_O) v) (/.f32 (*.f32 sinTheta_i cosTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i v) cosTheta_O) (/.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_O)) (/.f32 #s(literal 1 binary32) cosTheta_O)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta_O)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) sinTheta_i) (/.f32 (*.f32 v sinTheta_O) sinTheta_i)) (/.f32 #s(literal 1 binary32) sinTheta_i)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) sinTheta_i)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) sinTheta_O) (/.f32 (*.f32 sinTheta_i v) sinTheta_O)) (/.f32 #s(literal 1 binary32) sinTheta_O)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) sinTheta_O)))))
Outputs
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 (neg.f32 cosTheta_i) cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (*.f32 cosTheta_i (/.f32 (neg.f32 cosTheta_O) v)) (+.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 #s(literal 1 binary32) v))))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 (*.f32 cosTheta_i (/.f32 (neg.f32 cosTheta_O) v)) (-.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 #s(literal -1 binary32) v) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i (neg.f32 cosTheta_O)) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (*.f32 cosTheta_i (/.f32 (neg.f32 cosTheta_O) v)) (+.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 #s(literal 1 binary32) v))))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 (*.f32 cosTheta_i (/.f32 (neg.f32 cosTheta_O) v)) (-.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 #s(literal -1 binary32) v) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 (neg.f32 sinTheta_i) sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v))))))
(*.f32 (exp.f32 (+.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (*.f32 sinTheta_i (/.f32 sinTheta_O v))) (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))) (/.f32 #s(literal 1/2 binary32) v))
(*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal -1 binary32) v))))) (/.f32 #s(literal 1/2 binary32) v))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v))))))
(*.f32 (exp.f32 (+.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (*.f32 sinTheta_i (/.f32 sinTheta_O v))) (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))) (/.f32 #s(literal 1/2 binary32) v))
(*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal -1 binary32) v))))) (/.f32 #s(literal 1/2 binary32) 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 #s(literal 1 binary32) (neg.f32 v))) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (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 #s(literal 1 binary32) (neg.f32 v)))) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) (neg.f32 v))))))
(*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (*.f32 cosTheta_i (/.f32 (neg.f32 cosTheta_O) v)) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))))) (/.f32 #s(literal -1/2 binary32) v))
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(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) sinTheta_O) (/.f32 (*.f32 sinTheta_i v) sinTheta_O)) (/.f32 #s(literal 1 binary32) sinTheta_O)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) sinTheta_O)))))
(exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O sinTheta_O)) (+.f32 (*.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 #s(literal 1 binary32) sinTheta_O))) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) sinTheta_O)))))
(*.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (*.f32 cosTheta_i (/.f32 cosTheta_O sinTheta_O))) (fma.f32 sinTheta_i (/.f32 v sinTheta_O) (/.f32 #s(literal 1 binary32) sinTheta_O)))) (/.f32 #s(literal 1/2 binary32) sinTheta_O))
(*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O sinTheta_O)) (fma.f32 v (/.f32 sinTheta_i sinTheta_O) (/.f32 #s(literal 1 binary32) sinTheta_O))))) (/.f32 #s(literal 1/2 binary32) sinTheta_O))
(*.f32 (exp.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O sinTheta_O)) (fma.f32 v (/.f32 sinTheta_i sinTheta_O) (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) #s(literal -6931/10000 binary32))))) (/.f32 #s(literal 1/2 binary32) sinTheta_O))
Symmetry

(sort cosTheta_i cosTheta_O)

(sort sinTheta_i sinTheta_O)

Compiler

Compiled 308 to 138 computations (55.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 147.0ms
Operation ival-div, time spent: 51.0ms, 35.0% of total-time
Operation ival-mult, time spent: 32.0ms, 22.0% of total-time
Operation ival-log, time spent: 26.0ms, 18.0% of total-time
Operation ival-sub, time spent: 16.0ms, 11.0% of total-time
Operation ival-add, time spent: 13.0ms, 9.0% of total-time
Operation const, time spent: 6.0ms, 4.0% of total-time
Operation ival-exp, time spent: 4.0ms, 3.0% of total-time

eval1.0ms (0%)

Compiler

Compiled 91 to 53 computations (41.8% saved)

prune2.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.8%
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))))
▶99.7%
(exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
Compiler

Compiled 54 to 38 computations (29.6% saved)

localize424.0ms (2.3%)

Localize:

Found 8 expressions with local error:

NewAccuracyProgram
✓100.0%
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))))
✓99.9%
(+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))
✓99.8%
(exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32)))
✓99.3%
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
✓99.9%
(+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))
✓99.7%
(exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
✓99.3%
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
✓99.3%
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
Compiler

Compiled 216 to 90 computations (58.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 148.0ms
Operation ival-div, time spent: 40.0ms, 27.0% of total-time
Operation composed, time spent: 27.0ms, 18.0% of total-time
Operation ival-mult, time spent: 22.0ms, 15.0% of total-time
Operation ival-add, time spent: 21.0ms, 14.0% of total-time
Operation ival-log, time spent: 17.0ms, 11.0% of total-time
Operation ival-sub, time spent: 12.0ms, 8.0% of total-time
Operation ival-exp, time spent: 6.0ms, 4.0% of total-time
Operation const, time spent: 4.0ms, 3.0% of total-time

series123.0ms (0.7%)

Counts
8 → 408
Calls
Call 1
Inputs
#<alt (*.f32 sinTheta_i (/.f32 sinTheta_O v))>
#<alt (*.f32 cosTheta_i (/.f32 cosTheta_O v))>
#<alt (exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))>
#<alt (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))>
#<alt (*.f32 cosTheta_i (/.f32 cosTheta_O v))>
#<alt (exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32)))>
#<alt (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))>
#<alt (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))))>
Outputs
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))>
#<alt (+.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))) v))>
#<alt (+.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) (*.f32 cosTheta_i (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (pow.f32 cosTheta_O #s(literal 2 binary32)) (*.f32 cosTheta_i (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))) (pow.f32 v #s(literal 2 binary32)))) (/.f32 (*.f32 cosTheta_O (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) v))))>
#<alt (+.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) (*.f32 cosTheta_i (+.f32 (*.f32 cosTheta_i (+.f32 (*.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 (pow.f32 cosTheta_O #s(literal 3 binary32)) (*.f32 cosTheta_i (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))) (pow.f32 v #s(literal 3 binary32)))) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (pow.f32 cosTheta_O #s(literal 2 binary32)) (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) (pow.f32 v #s(literal 2 binary32)))))) (/.f32 (*.f32 cosTheta_O (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) v))))>
#<alt (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))>
#<alt (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))>
#<alt (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))>
#<alt (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))>
#<alt (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))>
#<alt (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))>
#<alt (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))>
#<alt (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))>
#<alt (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))>
#<alt (+.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))) v))>
#<alt (+.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) (*.f32 cosTheta_O (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta_O (*.f32 (pow.f32 cosTheta_i #s(literal 2 binary32)) (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))) (pow.f32 v #s(literal 2 binary32)))) (/.f32 (*.f32 cosTheta_i (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) v))))>
#<alt (+.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) (*.f32 cosTheta_O (+.f32 (*.f32 cosTheta_O (+.f32 (*.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 cosTheta_O (*.f32 (pow.f32 cosTheta_i #s(literal 3 binary32)) (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))) (pow.f32 v #s(literal 3 binary32)))) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (pow.f32 cosTheta_i #s(literal 2 binary32)) (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) (pow.f32 v #s(literal 2 binary32)))))) (/.f32 (*.f32 cosTheta_i (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) v))))>
#<alt (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))>
#<alt (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))>
#<alt (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))>
#<alt (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))>
#<alt (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))>
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#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))>
#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))>
#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))>
#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))>
#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))>
#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))>
#<alt (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v)) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))) (pow.f32 v #s(literal 2 binary32)))))>
#<alt (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v)) (*.f32 cosTheta_O (+.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 cosTheta_O (*.f32 (pow.f32 cosTheta_i #s(literal 2 binary32)) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))) (pow.f32 v #s(literal 3 binary32)))) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta_i (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) (pow.f32 v #s(literal 2 binary32)))))))>
#<alt (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v)) (*.f32 cosTheta_O (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta_i (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) (pow.f32 v #s(literal 2 binary32)))) (*.f32 cosTheta_O (+.f32 (*.f32 #s(literal 1/12 binary32) (/.f32 (*.f32 cosTheta_O (*.f32 (pow.f32 cosTheta_i #s(literal 3 binary32)) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))) (pow.f32 v #s(literal 4 binary32)))) (*.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (pow.f32 cosTheta_i #s(literal 2 binary32)) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) (pow.f32 v #s(literal 3 binary32)))))))))>
#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))>
#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))>
#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))>
#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))>
#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))>
#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))>
#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))>
#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))>
#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) v))>
#<alt (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))))) (pow.f32 v #s(literal 2 binary32)))) (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) v)))>
#<alt (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) v)) (*.f32 sinTheta_i (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_O (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)))) (pow.f32 v #s(literal 2 binary32)))) (*.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 2 binary32)) (*.f32 sinTheta_i (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))))) (pow.f32 v #s(literal 3 binary32)))))))>
#<alt (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) v)) (*.f32 sinTheta_i (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_O (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)))) (pow.f32 v #s(literal 2 binary32)))) (*.f32 sinTheta_i (+.f32 (*.f32 #s(literal -1/12 binary32) (/.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) (*.f32 sinTheta_i (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))))) (pow.f32 v #s(literal 4 binary32)))) (*.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 2 binary32)) (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)))) (pow.f32 v #s(literal 3 binary32)))))))))>
#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))>
#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))>
#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))>
#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))>
#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))>
#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))>
#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))>
#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))>
#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) v))>
#<alt (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))))) (pow.f32 v #s(literal 2 binary32)))) (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) v)))>
#<alt (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) v)) (*.f32 sinTheta_O (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_i (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)))) (pow.f32 v #s(literal 2 binary32)))) (*.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 sinTheta_O (*.f32 (pow.f32 sinTheta_i #s(literal 2 binary32)) (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))))) (pow.f32 v #s(literal 3 binary32)))))))>
#<alt (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) v)) (*.f32 sinTheta_O (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_i (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)))) (pow.f32 v #s(literal 2 binary32)))) (*.f32 sinTheta_O (+.f32 (*.f32 #s(literal -1/12 binary32) (/.f32 (*.f32 sinTheta_O (*.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))))) (pow.f32 v #s(literal 4 binary32)))) (*.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (pow.f32 sinTheta_i #s(literal 2 binary32)) (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)))) (pow.f32 v #s(literal 3 binary32)))))))))>
#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))>
#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))>
#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))>
#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))>
#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))>
#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))>
#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))>
#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))>
Calls

102 calls:

TimeVariablePointExpression
16.0ms
cosTheta_i
@0
(+ (- (* cosTheta_i (/ cosTheta_O v)) (+ (* sinTheta_i (/ sinTheta_O v)) (/ 1 v))) (+ 6931/10000 (log (/ 1/2 v))))
10.0ms
sinTheta_O
@inf
(* sinTheta_i (/ sinTheta_O v))
10.0ms
sinTheta_O
@-inf
(* (/ 1/2 v) (exp (+ (- (* cosTheta_i (/ cosTheta_O v)) (+ (* sinTheta_i (/ sinTheta_O v)) (/ 1 v))) 6931/10000)))
9.0ms
cosTheta_O
@inf
(exp (+ (- (* cosTheta_i (/ cosTheta_O v)) (+ (* sinTheta_i (/ sinTheta_O v)) (/ 1 v))) 6931/10000))
6.0ms
v
@-inf
(+ (- (* cosTheta_i (/ cosTheta_O v)) (+ (* sinTheta_i (/ sinTheta_O v)) (/ 1 v))) (+ 6931/10000 (log (/ 1/2 v))))

rewrite391.0ms (2.2%)

Algorithm
1×batch-egg-rewrite
Rules
562×log1p-expm1-u
378×associate-*r*
236×associate-*l*
229×expm1-log1p-u
218×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
035465
1518432
27461432
Stop Event
1×node limit
Counts
8 → 268
Calls
Call 1
Inputs
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
(+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) 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 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32)))
(+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))))
Outputs
(-.f32 (exp.f32 (log1p.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)))) #s(literal 1 binary32))
(/.f32 sinTheta_i (/.f32 v sinTheta_O))
(/.f32 #s(literal 1 binary32) (/.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) #s(literal 1 binary32)) v)
(/.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (pow.f32 (cbrt.f32 v) #s(literal 2 binary32))) (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)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) sinTheta_i))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)))))
(cbrt.f32 (pow.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 3 binary32)))
(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))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)))) #s(literal 1 binary32))
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(log.f32 (pow.f32 (exp.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))) (/.f32 #s(literal 1/2 binary32) v)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) v)))))
(cbrt.f32 (pow.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) v)) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 #s(literal 1/2 binary32) v) #s(literal 3 binary32)) (pow.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1/2 binary32) v) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) v))))
(log1p.f32 (expm1.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) v))))
(exp.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))))

simplify456.0ms (2.5%)

Algorithm
1×egg-herbie
Rules
1482×associate-*r*
1294×fma-define
744×times-frac
726×distribute-rgt-in
706×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0107056988
1311353690
Stop Event
1×node limit
Counts
676 → 567
Calls
Call 1
Inputs
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(+.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))) v))
(+.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) (*.f32 cosTheta_i (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (pow.f32 cosTheta_O #s(literal 2 binary32)) (*.f32 cosTheta_i (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))) (pow.f32 v #s(literal 2 binary32)))) (/.f32 (*.f32 cosTheta_O (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) v))))
(+.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) (*.f32 cosTheta_i (+.f32 (*.f32 cosTheta_i (+.f32 (*.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 (pow.f32 cosTheta_O #s(literal 3 binary32)) (*.f32 cosTheta_i (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))) (pow.f32 v #s(literal 3 binary32)))) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (pow.f32 cosTheta_O #s(literal 2 binary32)) (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) (pow.f32 v #s(literal 2 binary32)))))) (/.f32 (*.f32 cosTheta_O (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) v))))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(+.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))) v))
(+.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) (*.f32 cosTheta_O (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta_O (*.f32 (pow.f32 cosTheta_i #s(literal 2 binary32)) (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))) (pow.f32 v #s(literal 2 binary32)))) (/.f32 (*.f32 cosTheta_i (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) v))))
(+.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) (*.f32 cosTheta_O (+.f32 (*.f32 cosTheta_O (+.f32 (*.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 cosTheta_O (*.f32 (pow.f32 cosTheta_i #s(literal 3 binary32)) (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))) (pow.f32 v #s(literal 3 binary32)))) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (pow.f32 cosTheta_i #s(literal 2 binary32)) (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) (pow.f32 v #s(literal 2 binary32)))))) (/.f32 (*.f32 cosTheta_i (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) v))))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) v)))))
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(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (-.f32 #s(literal 48038761/100000000 binary32) (*.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))) (+.f32 #s(literal 332956652491/1000000000000 binary32) (pow.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 3 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal -6931/10000 binary32)) (+.f32 (pow.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) #s(literal -48038761/100000000 binary32))))
(/.f32 (+.f32 #s(literal 332956652491/1000000000000 binary32) (pow.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 3 binary32))) (+.f32 (pow.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (-.f32 #s(literal 48038761/100000000 binary32) (*.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))))
(/.f32 (+.f32 #s(literal 332956652491/1000000000000 binary32) (pow.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 3 binary32))) (+.f32 #s(literal 48038761/100000000 binary32) (-.f32 (pow.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (*.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))))
(/.f32 (+.f32 (pow.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) #s(literal -48038761/100000000 binary32)) (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal -6931/10000 binary32)))
(/.f32 (neg.f32 (+.f32 #s(literal 332956652491/1000000000000 binary32) (pow.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 3 binary32)))) (neg.f32 (+.f32 (pow.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (-.f32 #s(literal 48038761/100000000 binary32) (*.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) #s(literal -48038761/100000000 binary32))) (neg.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal -6931/10000 binary32))))
(/.f32 (-.f32 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(literal 3 binary32)) (pow.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal -6931/10000 binary32)) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(literal 2 binary32)) (+.f32 (*.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal -6931/10000 binary32)) (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal -6931/10000 binary32))) (*.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal -6931/10000 binary32))))))
(/.f32 (-.f32 #s(literal 48038761/100000000 binary32) (pow.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (-.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v))))
(/.f32 (-.f32 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(literal 2 binary32)) (*.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal -6931/10000 binary32)) (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal -6931/10000 binary32)))) (+.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal -6931/10000 binary32))))
(pow.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) #s(literal 2 binary32)))
(log.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))))
(cbrt.f32 (pow.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))))
(log1p.f32 (expm1.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))))
(exp.f32 (log.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))))
(exp.f32 (*.f32 (log.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) #s(literal 1 binary32)))
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) (neg.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal -6931/10000 binary32))))
(fma.f32 (/.f32 cosTheta_O v) cosTheta_i (neg.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal -6931/10000 binary32))))
(fma.f32 #s(literal 1 binary32) (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (neg.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal -6931/10000 binary32))))
(fma.f32 #s(literal 1 binary32) (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))
(fma.f32 (pow.f32 (cbrt.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)) (cbrt.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))
(fma.f32 (pow.f32 (cbrt.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (neg.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal -6931/10000 binary32))))
(fma.f32 (sqrt.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v))) (sqrt.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))
(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 #s(literal 1 binary32) v)) #s(literal -6931/10000 binary32))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) v)))) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 v (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))))))
(/.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) (*.f32 v #s(literal 2 binary32)))
(/.f32 (pow.f32 (exp.f32 cosTheta_i) (/.f32 cosTheta_O v)) (exp.f32 (-.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal -6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))) v)
(/.f32 (neg.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))))) (neg.f32 v))
(/.f32 (*.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) #s(literal -1/2 binary32)) (neg.f32 v))
(/.f32 (*.f32 #s(literal -1/2 binary32) (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))) (neg.f32 v))
(/.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))) #s(literal 1 binary32)) v)
(/.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))) (pow.f32 (cbrt.f32 v) #s(literal 2 binary32))) (cbrt.f32 v))
(/.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))) (sqrt.f32 v)) (sqrt.f32 v))
(pow.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) v)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) v))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) v)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) v))) #s(literal 2 binary32))
(pow.f32 (exp.f32 #s(literal 1 binary32)) (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) 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 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))) #s(literal 2 binary32))) (cbrt.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))))
(pow.f32 (exp.f32 (sqrt.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))))) (sqrt.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))))
(sqrt.f32 (pow.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) v)) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))) (/.f32 #s(literal 1/2 binary32) v)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) v)))))
(cbrt.f32 (pow.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) v)) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 #s(literal 1/2 binary32) v) #s(literal 3 binary32)) (pow.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1/2 binary32) v) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) v))))
(log1p.f32 (expm1.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) v))))
(exp.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))))
Outputs
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
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(+.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))) (*.f32 cosTheta_i (fma.f32 #s(literal 1/2 binary32) (*.f32 (pow.f32 cosTheta_O #s(literal 2 binary32)) (/.f32 (*.f32 cosTheta_i (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))))) (pow.f32 v #s(literal 2 binary32)))) (*.f32 cosTheta_O (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))) v)))))
(fma.f32 cosTheta_i (fma.f32 #s(literal 1/2 binary32) (*.f32 (pow.f32 cosTheta_O #s(literal 2 binary32)) (/.f32 (*.f32 cosTheta_i (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))))) (pow.f32 v #s(literal 2 binary32)))) (*.f32 cosTheta_O (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))) v))) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))))
(+.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) (*.f32 cosTheta_i (+.f32 (*.f32 cosTheta_i (+.f32 (*.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 (pow.f32 cosTheta_O #s(literal 3 binary32)) (*.f32 cosTheta_i (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))) (pow.f32 v #s(literal 3 binary32)))) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (pow.f32 cosTheta_O #s(literal 2 binary32)) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) (pow.f32 v #s(literal 2 binary32)))))) (/.f32 (*.f32 cosTheta_O (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) v))))
(+.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))) (*.f32 cosTheta_i (fma.f32 cosTheta_i (fma.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 (*.f32 (pow.f32 cosTheta_O #s(literal 3 binary32)) cosTheta_i) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))))) (pow.f32 v #s(literal 3 binary32))) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (pow.f32 cosTheta_O #s(literal 2 binary32)) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))))) (pow.f32 v #s(literal 2 binary32))))) (*.f32 cosTheta_O (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))) v)))))
(fma.f32 cosTheta_i (fma.f32 cosTheta_i (fma.f32 #s(literal 1/2 binary32) (*.f32 (pow.f32 cosTheta_O #s(literal 2 binary32)) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))) (pow.f32 v #s(literal 2 binary32)))) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (pow.f32 cosTheta_O #s(literal 3 binary32)) cosTheta_i) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))))) (pow.f32 v #s(literal 3 binary32)))) (*.f32 cosTheta_O (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))) v))) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))))
(exp.f32 (+.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v) (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))))
(exp.f32 (+.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v) (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))))
(exp.f32 (+.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v) (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))))
(exp.f32 (+.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v) (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))))
(exp.f32 (+.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v) (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))))
(exp.f32 (+.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v) (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))))
(exp.f32 (+.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v) (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))))
(exp.f32 (+.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v) (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))))
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))))
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))))
(+.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))) v))
(+.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))) (*.f32 cosTheta_O (*.f32 cosTheta_i (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))) v))))
(fma.f32 cosTheta_O (*.f32 cosTheta_i (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))) v)) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))))
(+.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) (*.f32 cosTheta_O (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta_O (*.f32 (pow.f32 cosTheta_i #s(literal 2 binary32)) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))) (pow.f32 v #s(literal 2 binary32)))) (/.f32 (*.f32 cosTheta_i (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) v))))
(+.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))) (*.f32 cosTheta_O (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 cosTheta_O (pow.f32 cosTheta_i #s(literal 2 binary32))) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))))) (pow.f32 v #s(literal 2 binary32))) (*.f32 cosTheta_i (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))) v)))))
(fma.f32 cosTheta_O (fma.f32 cosTheta_i (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))) v) (*.f32 cosTheta_O (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (pow.f32 cosTheta_i #s(literal 2 binary32))) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))))) (pow.f32 v #s(literal 2 binary32))))) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))))
(+.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) (*.f32 cosTheta_O (+.f32 (*.f32 cosTheta_O (+.f32 (*.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 cosTheta_O (*.f32 (pow.f32 cosTheta_i #s(literal 3 binary32)) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))) (pow.f32 v #s(literal 3 binary32)))) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (pow.f32 cosTheta_i #s(literal 2 binary32)) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) (pow.f32 v #s(literal 2 binary32)))))) (/.f32 (*.f32 cosTheta_i (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) v))))
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(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
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(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
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(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))))
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(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))))
(exp.f32 (+.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v) (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))))
(exp.f32 (+.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v) (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))))
(exp.f32 (+.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v) (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
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(exp.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v) (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))) #s(literal 2 binary32))) (cbrt.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))))
(exp.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v) (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))))
(pow.f32 (exp.f32 (sqrt.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))))) (sqrt.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))))
(exp.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v) (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))))
(sqrt.f32 (pow.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) v)) #s(literal 2 binary32)))
(sqrt.f32 (pow.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) v) (/.f32 #s(literal 1 binary32) v)))) v)) #s(literal 2 binary32)))
(fabs.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v) (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))))))
(log.f32 (pow.f32 (exp.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))) (/.f32 #s(literal 1/2 binary32) v)))
(exp.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v) (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) v)))))
(exp.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v) (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))))
(cbrt.f32 (pow.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) v)) #s(literal 3 binary32)))
(exp.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v) (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 #s(literal 1/2 binary32) v) #s(literal 3 binary32)) (pow.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) #s(literal 3 binary32))))
(exp.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v) (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))))
(cbrt.f32 (*.f32 (pow.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1/2 binary32) v) #s(literal 3 binary32))))
(exp.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v) (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))))
(expm1.f32 (log1p.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) v))))
(exp.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v) (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))))
(log1p.f32 (expm1.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) v))))
(exp.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v) (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))))
(exp.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))))
(exp.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v) (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))))

eval470.0ms (2.6%)

Compiler

Compiled 22727 to 12764 computations (43.8% saved)

prune143.0ms (0.8%)

Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New58013593
Fresh000
Picked202
Done000
Total58213595
Accuracy
99.9%
Counts
595 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.5%
(pow.f32 (pow.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) v)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
99.7%
(pow.f32 (exp.f32 #s(literal 1 binary32)) (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))))
99.7%
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 #s(literal 1 binary32)) (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))))
▶99.8%
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (cbrt.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))) #s(literal 3 binary32)))
99.8%
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))))
4.5%
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)))
99.8%
(*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)))) (exp.f32 #s(literal 6931/10000 binary32)))
▶4.5%
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v))
97.5%
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32))) v))
▶12.8%
(exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))
▶99.7%
(exp.f32 (-.f32 (+.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 #s(literal 1/2 binary32))) (log.f32 v)))
▶99.7%
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 #s(literal 1 binary32) v)))
12.8%
(exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v))))
Compiler

Compiled 542 to 412 computations (24% saved)

localize836.0ms (4.6%)

Localize:

Found 15 expressions with local error:

NewAccuracyProgram
✓99.8%
(-.f32 (+.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 #s(literal 1/2 binary32))) (log.f32 v))
✓99.8%
(-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))
✓99.7%
(exp.f32 (-.f32 (+.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 #s(literal 1/2 binary32))) (log.f32 v)))
✓86.1%
(/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)
✓99.8%
(+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))
✓99.7%
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 #s(literal 1 binary32) v)))
✓99.7%
(+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
✓75.3%
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
✓100.0%
(exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))
✓71.9%
(/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v)
✓99.0%
(/.f32 (exp.f32 #s(literal 6931/10000 binary32)) 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 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))
✓99.4%
(cbrt.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))))
✓86.1%
(/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)
Compiler

Compiled 388 to 160 computations (58.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 226.0ms
Operation ival-div, time spent: 67.0ms, 30.0% of total-time
Operation ival-log, time spent: 42.0ms, 19.0% of total-time
Operation ival-exp, time spent: 25.0ms, 11.0% of total-time
Operation ival-add, time spent: 23.0ms, 10.0% of total-time
Operation ival-pow, time spent: 22.0ms, 10.0% of total-time
Operation ival-sub, time spent: 21.0ms, 9.0% of total-time
Operation ival-mult, time spent: 11.0ms, 5.0% of total-time
Operation const, time spent: 8.0ms, 4.0% of total-time
Operation ival-cbrt, time spent: 5.0ms, 2.0% of total-time
Operation ival-neg, time spent: 1.0ms, 0.0% of total-time

series147.0ms (0.8%)

Counts
15 → 604
Calls
Call 1
Inputs
#<alt (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)>
#<alt (cbrt.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))))>
#<alt (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))>
#<alt (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))>
#<alt (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v)>
#<alt (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v)>
#<alt (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))>
#<alt (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 #s(literal 1 binary32) v)))>
#<alt (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))>
#<alt (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)>
#<alt (exp.f32 (-.f32 (+.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 #s(literal 1/2 binary32))) (log.f32 v)))>
#<alt (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))>
#<alt (-.f32 (+.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 #s(literal 1/2 binary32))) (log.f32 v))>
Outputs
#<alt (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (*.f32 cosTheta_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_i v))) (/.f32 cosTheta_O v)))>
#<alt (*.f32 cosTheta_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_i v))) (/.f32 cosTheta_O v)))>
#<alt (*.f32 cosTheta_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_i v))) (/.f32 cosTheta_O v)))>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 cosTheta_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 cosTheta_O v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_i v)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 cosTheta_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 cosTheta_O v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_i v)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 cosTheta_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 cosTheta_O v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_i v)))))>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))>
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#<alt (*.f32 sinTheta_i (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) sinTheta_i)) (+.f32 (/.f32 (log.f32 #s(literal 1/2 binary32)) sinTheta_i) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i v)))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_i v)) (+.f32 (/.f32 sinTheta_O v) (/.f32 (log.f32 v) sinTheta_i)))))>
#<alt (*.f32 sinTheta_i (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) sinTheta_i)) (+.f32 (/.f32 (log.f32 #s(literal 1/2 binary32)) sinTheta_i) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i v)))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_i v)) (+.f32 (/.f32 sinTheta_O v) (/.f32 (log.f32 v) sinTheta_i)))))>
#<alt (*.f32 sinTheta_i (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) sinTheta_i)) (+.f32 (/.f32 (log.f32 #s(literal 1/2 binary32)) sinTheta_i) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i v)))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_i v)) (+.f32 (/.f32 sinTheta_O v) (/.f32 (log.f32 v) sinTheta_i)))))>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_i (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (+.f32 (log.f32 v) (/.f32 #s(literal 1 binary32) v))) sinTheta_i)) (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_i (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (+.f32 (log.f32 v) (/.f32 #s(literal 1 binary32) v))) sinTheta_i)) (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_i (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (+.f32 (log.f32 v) (/.f32 #s(literal 1 binary32) v))) sinTheta_i)) (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v)))))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (+.f32 (log.f32 v) (/.f32 #s(literal 1 binary32) v)))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))) (+.f32 (log.f32 v) (/.f32 #s(literal 1 binary32) v)))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))) (+.f32 (log.f32 v) (/.f32 #s(literal 1 binary32) v)))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))) (+.f32 (log.f32 v) (/.f32 #s(literal 1 binary32) v)))>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))>
#<alt (*.f32 sinTheta_O (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) sinTheta_O)) (+.f32 (/.f32 (log.f32 #s(literal 1/2 binary32)) sinTheta_O) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O v)))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_O v)) (+.f32 (/.f32 sinTheta_i v) (/.f32 (log.f32 v) sinTheta_O)))))>
#<alt (*.f32 sinTheta_O (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) sinTheta_O)) (+.f32 (/.f32 (log.f32 #s(literal 1/2 binary32)) sinTheta_O) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O v)))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_O v)) (+.f32 (/.f32 sinTheta_i v) (/.f32 (log.f32 v) sinTheta_O)))))>
#<alt (*.f32 sinTheta_O (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) sinTheta_O)) (+.f32 (/.f32 (log.f32 #s(literal 1/2 binary32)) sinTheta_O) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O v)))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_O v)) (+.f32 (/.f32 sinTheta_i v) (/.f32 (log.f32 v) sinTheta_O)))))>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (+.f32 (log.f32 v) (/.f32 #s(literal 1 binary32) v))) sinTheta_O)) (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_i v)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (+.f32 (log.f32 v) (/.f32 #s(literal 1 binary32) v))) sinTheta_O)) (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_i v)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (+.f32 (log.f32 v) (/.f32 #s(literal 1 binary32) v))) sinTheta_O)) (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_i v)))))>
#<alt (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v)>
#<alt (/.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal 1/2 binary32))) (log.f32 v)))) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v)>
#<alt (/.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal 1/2 binary32))) (log.f32 v)))) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v)>
#<alt (/.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal 1/2 binary32))) (log.f32 v)))) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v)>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal 1/2 binary32))) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) v))))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (+.f32 (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (+.f32 (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (+.f32 (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal 1/2 binary32))) (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) v)))))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)))) v)))) (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) v)))))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)))) v)))) (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) v)))))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)))) v)))) (+.f32 (log.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) v)))))>
Calls

171 calls:

TimeVariablePointExpression
13.0ms
cosTheta_O
@0
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
4.0ms
cosTheta_i
@0
(- (+ (+ (- (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v) (/ 1 v)) 6931/10000) (log 1/2)) (log v))
4.0ms
sinTheta_O
@0
(- (+ (+ (- (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v) (/ 1 v)) 6931/10000) (log 1/2)) (log v))
4.0ms
sinTheta_O
@inf
(cbrt (exp (+ (- (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v) (/ 1 v)) 6931/10000)))
4.0ms
cosTheta_i
@-inf
(exp (- (+ (+ (- (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v) (/ 1 v)) 6931/10000) (log 1/2)) (log v)))

rewrite158.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
362×log1p-expm1-u
362×expm1-log1p-u
355×add-exp-log
353×add-log-exp
351×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
045650
1804634
Stop Event
1×node limit
Counts
15 → 369
Calls
Call 1
Inputs
(/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)
(cbrt.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))))
(exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))
(-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))
(/.f32 (exp.f32 #s(literal 6931/10000 binary32)) 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 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 #s(literal 1 binary32) v)))
(+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))
(/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)
(exp.f32 (-.f32 (+.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 #s(literal 1/2 binary32))) (log.f32 v)))
(-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))
(-.f32 (+.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 #s(literal 1/2 binary32))) (log.f32 v))
Outputs
(-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) v))) #s(literal 1 binary32))
(*.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) (/.f32 #s(literal 1 binary32) v))
(*.f32 #s(literal 1 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) v))
(*.f32 (pow.f32 (cbrt.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) v)) #s(literal 2 binary32)) (cbrt.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) v)))
(*.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) v)) (sqrt.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) v)))
(pow.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) v) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) v)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) v) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) v)) #s(literal 2 binary32))
(pow.f32 (/.f32 v (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O)))) #s(literal -1 binary32))
(log.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) v)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) v))))
(cbrt.f32 (pow.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) v) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) v)))
(log1p.f32 (expm1.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) v)))
(exp.f32 (log.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) v)))
(exp.f32 (*.f32 (log.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) v)) #s(literal 1 binary32)))
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(fma.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) v) (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(fma.f32 #s(literal 1 binary32) (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(fma.f32 (pow.f32 (cbrt.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v))) (neg.f32 (/.f32 (*.f32 sinTheta_i 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 (*.f32 sinTheta_i sinTheta_O) v)))
(-.f32 (exp.f32 (log1p.f32 (cbrt.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (cbrt.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))))
(*.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))))) #s(literal 2 binary32)) (cbrt.f32 (cbrt.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))))))
(*.f32 (pow.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) #s(literal 1/6 binary32)) (pow.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) #s(literal 1/6 binary32)))
(*.f32 (pow.f32 #s(literal 1 binary32) #s(literal 1/3 binary32)) (cbrt.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))))
(*.f32 (pow.f32 (exp.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) #s(literal 1 binary32)) v)) #s(literal 1/3 binary32)) (cbrt.f32 (exp.f32 #s(literal 6931/10000 binary32))))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))) #s(literal 2 binary32)) #s(literal 1/3 binary32)) (cbrt.f32 (cbrt.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))))))
(*.f32 (pow.f32 (sqrt.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))) #s(literal 1/3 binary32)) (pow.f32 (sqrt.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))) #s(literal 1/3 binary32)))
(*.f32 (cbrt.f32 (exp.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) #s(literal 1 binary32)) v))) (cbrt.f32 (exp.f32 #s(literal 6931/10000 binary32))))
(*.f32 (cbrt.f32 (sqrt.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))))) (cbrt.f32 (sqrt.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))))))
(pow.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) #s(literal 1/3 binary32))
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(fma.f32 #s(literal 1 binary32) (*.f32 cosTheta_i cosTheta_O) (*.f32 (neg.f32 sinTheta_i) sinTheta_O))
(fma.f32 #s(literal 1 binary32) (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) (fma.f32 (neg.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 (neg.f32 sinTheta_O)))) #s(literal 2 binary32)) (cbrt.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O)))) (fma.f32 (neg.f32 sinTheta_O) sinTheta_i (*.f32 sinTheta_i sinTheta_O)))
(fma.f32 (pow.f32 (cbrt.f32 (*.f32 cosTheta_i cosTheta_O)) #s(literal 2 binary32)) (cbrt.f32 (*.f32 cosTheta_i cosTheta_O)) (*.f32 sinTheta_i (neg.f32 sinTheta_O)))
(fma.f32 (pow.f32 (cbrt.f32 (*.f32 cosTheta_i cosTheta_O)) #s(literal 2 binary32)) (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 (neg.f32 sinTheta_O)))) (sqrt.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O)))) (fma.f32 (neg.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 (neg.f32 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))
(+.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
(+.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) #s(literal 1 binary32)) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal 1/2 binary32)))) (neg.f32 (log.f32 v)))
(+.f32 (+.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (fma.f32 (neg.f32 (sqrt.f32 (log.f32 v))) (sqrt.f32 (log.f32 v)) (log.f32 v)))
(+.f32 #s(literal 0 binary32) (+.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))
(+.f32 (fma.f32 #s(literal 1 binary32) (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) #s(literal 1 binary32)) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal 1/2 binary32)))) (neg.f32 (*.f32 (log.f32 v) #s(literal 1 binary32)))) (fma.f32 (neg.f32 (log.f32 v)) #s(literal 1 binary32) (*.f32 (log.f32 v) #s(literal 1 binary32))))
(+.f32 (fma.f32 #s(literal 1 binary32) (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) #s(literal 1 binary32)) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal 1/2 binary32)))) (neg.f32 (*.f32 (cbrt.f32 (log.f32 v)) (pow.f32 (cbrt.f32 (log.f32 v)) #s(literal 2 binary32))))) (fma.f32 (neg.f32 (cbrt.f32 (log.f32 v))) (pow.f32 (cbrt.f32 (log.f32 v)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (log.f32 v)) (pow.f32 (cbrt.f32 (log.f32 v)) #s(literal 2 binary32)))))
(+.f32 (fma.f32 (pow.f32 (cbrt.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) #s(literal 1 binary32)) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal 1/2 binary32))))) #s(literal 2 binary32)) (cbrt.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) #s(literal 1 binary32)) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal 1/2 binary32))))) (neg.f32 (*.f32 (log.f32 v) #s(literal 1 binary32)))) (fma.f32 (neg.f32 (log.f32 v)) #s(literal 1 binary32) (*.f32 (log.f32 v) #s(literal 1 binary32))))
(+.f32 (fma.f32 (pow.f32 (cbrt.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) #s(literal 1 binary32)) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal 1/2 binary32))))) #s(literal 2 binary32)) (cbrt.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) #s(literal 1 binary32)) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal 1/2 binary32))))) (neg.f32 (*.f32 (cbrt.f32 (log.f32 v)) (pow.f32 (cbrt.f32 (log.f32 v)) #s(literal 2 binary32))))) (fma.f32 (neg.f32 (cbrt.f32 (log.f32 v))) (pow.f32 (cbrt.f32 (log.f32 v)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (log.f32 v)) (pow.f32 (cbrt.f32 (log.f32 v)) #s(literal 2 binary32)))))
(+.f32 (fma.f32 (sqrt.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) #s(literal 1 binary32)) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal 1/2 binary32))))) (sqrt.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) #s(literal 1 binary32)) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal 1/2 binary32))))) (neg.f32 (*.f32 (log.f32 v) #s(literal 1 binary32)))) (fma.f32 (neg.f32 (log.f32 v)) #s(literal 1 binary32) (*.f32 (log.f32 v) #s(literal 1 binary32))))
(+.f32 (fma.f32 (sqrt.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) #s(literal 1 binary32)) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal 1/2 binary32))))) (sqrt.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) #s(literal 1 binary32)) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal 1/2 binary32))))) (neg.f32 (*.f32 (cbrt.f32 (log.f32 v)) (pow.f32 (cbrt.f32 (log.f32 v)) #s(literal 2 binary32))))) (fma.f32 (neg.f32 (cbrt.f32 (log.f32 v))) (pow.f32 (cbrt.f32 (log.f32 v)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (log.f32 v)) (pow.f32 (cbrt.f32 (log.f32 v)) #s(literal 2 binary32)))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (*.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1/2 binary32) v))) #s(literal 2 binary32))) (log.f32 (cbrt.f32 (*.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1/2 binary32) v)))))
(+.f32 (log.f32 (sqrt.f32 (*.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1/2 binary32) v)))) (log.f32 (sqrt.f32 (*.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1/2 binary32) v)))))
(*.f32 #s(literal 1 binary32) (+.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))
(*.f32 (pow.f32 (cbrt.f32 (+.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) #s(literal 2 binary32)) (cbrt.f32 (+.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
(*.f32 (sqrt.f32 (+.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) (sqrt.f32 (+.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
(/.f32 (-.f32 (pow.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) #s(literal 1 binary32)) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (pow.f32 (log.f32 v) #s(literal 2 binary32))) (+.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) #s(literal 1 binary32)) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal 1/2 binary32)))) (log.f32 v)))
(/.f32 (-.f32 (pow.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) #s(literal 1 binary32)) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal 1/2 binary32)))) #s(literal 3 binary32)) (pow.f32 (log.f32 v) #s(literal 3 binary32))) (+.f32 (pow.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) #s(literal 1 binary32)) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (+.f32 (pow.f32 (log.f32 v) #s(literal 2 binary32)) (*.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) #s(literal 1 binary32)) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal 1/2 binary32)))) (log.f32 v)))))
(pow.f32 (+.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (+.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (+.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (+.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) #s(literal 2 binary32))
(log.f32 (*.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1/2 binary32) v)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (+.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))))
(cbrt.f32 (pow.f32 (+.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (+.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
(log1p.f32 (expm1.f32 (+.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
(exp.f32 (log.f32 (+.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
(exp.f32 (*.f32 (log.f32 (+.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
(fma.f32 #s(literal 1 binary32) (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) #s(literal 1 binary32)) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal 1/2 binary32)))) (neg.f32 (log.f32 v)))
(fma.f32 (pow.f32 (cbrt.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) #s(literal 1 binary32)) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal 1/2 binary32))))) #s(literal 2 binary32)) (cbrt.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) #s(literal 1 binary32)) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal 1/2 binary32))))) (neg.f32 (log.f32 v)))
(fma.f32 (pow.f32 (cbrt.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) #s(literal 2 binary32)) (cbrt.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
(fma.f32 (sqrt.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) #s(literal 1 binary32)) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal 1/2 binary32))))) (sqrt.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) #s(literal 1 binary32)) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal 1/2 binary32))))) (neg.f32 (log.f32 v)))
(fma.f32 (sqrt.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) (sqrt.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))

simplify531.0ms (2.9%)

Algorithm
1×egg-herbie
Rules
930×*-commutative
828×times-frac
824×distribute-lft-in
804×distribute-rgt-in
544×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0152877309470300
1431477309468268
Stop Event
1×node limit
Counts
973 → 735
Calls
Call 1
Inputs
(*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_i v))) (/.f32 cosTheta_O v)))
(*.f32 cosTheta_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_i v))) (/.f32 cosTheta_O v)))
(*.f32 cosTheta_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_i v))) (/.f32 cosTheta_O v)))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 #s(literal -1 binary32) (*.f32 cosTheta_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 cosTheta_O v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_i v)))))
(*.f32 #s(literal -1 binary32) (*.f32 cosTheta_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 cosTheta_O v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_i v)))))
(*.f32 #s(literal -1 binary32) (*.f32 cosTheta_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 cosTheta_O v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_i v)))))
(*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_O v))) (/.f32 cosTheta_i v)))
(*.f32 cosTheta_O (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_O v))) (/.f32 cosTheta_i v)))
(*.f32 cosTheta_O (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_O v))) (/.f32 cosTheta_i v)))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 #s(literal -1 binary32) (*.f32 cosTheta_O (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 cosTheta_i v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_O v)))))
(*.f32 #s(literal -1 binary32) (*.f32 cosTheta_O (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 cosTheta_i v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_O v)))))
(*.f32 #s(literal -1 binary32) (*.f32 cosTheta_O (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 cosTheta_i v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_O v)))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
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(fma.f32 (pow.f32 (cbrt.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) #s(literal 1 binary32)) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal 1/2 binary32))))) #s(literal 2 binary32)) (cbrt.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) #s(literal 1 binary32)) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal 1/2 binary32))))) (neg.f32 (log.f32 v)))
(fma.f32 (pow.f32 (cbrt.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) #s(literal 2 binary32)) (cbrt.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
(fma.f32 (sqrt.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) #s(literal 1 binary32)) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal 1/2 binary32))))) (sqrt.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) #s(literal 1 binary32)) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal 1/2 binary32))))) (neg.f32 (log.f32 v)))
(fma.f32 (sqrt.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) (sqrt.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
Outputs
(*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(*.f32 sinTheta_i (/.f32 (neg.f32 sinTheta_O) v))
(*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)))
(+.f32 (*.f32 #s(literal -1 binary32) (/.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 #s(literal -1 binary32) (/.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 #s(literal -1 binary32) (/.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 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(*.f32 cosTheta_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_i v))) (/.f32 cosTheta_O v)))
(*.f32 cosTheta_i (fma.f32 #s(literal -1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i (*.f32 v cosTheta_i))) (/.f32 cosTheta_O v)))
(*.f32 cosTheta_i (-.f32 (/.f32 cosTheta_O v) (*.f32 sinTheta_O (/.f32 sinTheta_i (*.f32 v cosTheta_i)))))
(*.f32 cosTheta_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_i v))) (/.f32 cosTheta_O v)))
(*.f32 cosTheta_i (fma.f32 #s(literal -1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i (*.f32 v cosTheta_i))) (/.f32 cosTheta_O v)))
(*.f32 cosTheta_i (-.f32 (/.f32 cosTheta_O v) (*.f32 sinTheta_O (/.f32 sinTheta_i (*.f32 v cosTheta_i)))))
(*.f32 cosTheta_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_i v))) (/.f32 cosTheta_O v)))
(*.f32 cosTheta_i (fma.f32 #s(literal -1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i (*.f32 v cosTheta_i))) (/.f32 cosTheta_O v)))
(*.f32 cosTheta_i (-.f32 (/.f32 cosTheta_O v) (*.f32 sinTheta_O (/.f32 sinTheta_i (*.f32 v cosTheta_i)))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(*.f32 #s(literal -1 binary32) (*.f32 cosTheta_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 cosTheta_O v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_i v)))))
(*.f32 (neg.f32 cosTheta_i) (fma.f32 #s(literal -1 binary32) (/.f32 cosTheta_O v) (*.f32 sinTheta_O (/.f32 sinTheta_i (*.f32 v cosTheta_i)))))
(*.f32 (-.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i (*.f32 v cosTheta_i))) (/.f32 cosTheta_O v)) (neg.f32 cosTheta_i))
(*.f32 #s(literal -1 binary32) (*.f32 cosTheta_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 cosTheta_O v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_i v)))))
(*.f32 (neg.f32 cosTheta_i) (fma.f32 #s(literal -1 binary32) (/.f32 cosTheta_O v) (*.f32 sinTheta_O (/.f32 sinTheta_i (*.f32 v cosTheta_i)))))
(*.f32 (-.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i (*.f32 v cosTheta_i))) (/.f32 cosTheta_O v)) (neg.f32 cosTheta_i))
(*.f32 #s(literal -1 binary32) (*.f32 cosTheta_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 cosTheta_O v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_i v)))))
(*.f32 (neg.f32 cosTheta_i) (fma.f32 #s(literal -1 binary32) (/.f32 cosTheta_O v) (*.f32 sinTheta_O (/.f32 sinTheta_i (*.f32 v cosTheta_i)))))
(*.f32 (-.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i (*.f32 v cosTheta_i))) (/.f32 cosTheta_O v)) (neg.f32 cosTheta_i))
(*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(*.f32 sinTheta_i (/.f32 (neg.f32 sinTheta_O) v))
(*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)))
(+.f32 (*.f32 #s(literal -1 binary32) (/.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 #s(literal -1 binary32) (/.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 #s(literal -1 binary32) (/.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 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(*.f32 cosTheta_O (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_O v))) (/.f32 cosTheta_i v)))
(*.f32 cosTheta_O (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 sinTheta_O cosTheta_O) (/.f32 sinTheta_i v)) (/.f32 cosTheta_i v)))
(*.f32 cosTheta_O (-.f32 (/.f32 cosTheta_i v) (*.f32 (/.f32 sinTheta_O v) (/.f32 sinTheta_i cosTheta_O))))
(*.f32 cosTheta_O (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_O v))) (/.f32 cosTheta_i v)))
(*.f32 cosTheta_O (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 sinTheta_O cosTheta_O) (/.f32 sinTheta_i v)) (/.f32 cosTheta_i v)))
(*.f32 cosTheta_O (-.f32 (/.f32 cosTheta_i v) (*.f32 (/.f32 sinTheta_O v) (/.f32 sinTheta_i cosTheta_O))))
(*.f32 cosTheta_O (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_O v))) (/.f32 cosTheta_i v)))
(*.f32 cosTheta_O (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 sinTheta_O cosTheta_O) (/.f32 sinTheta_i v)) (/.f32 cosTheta_i v)))
(*.f32 cosTheta_O (-.f32 (/.f32 cosTheta_i v) (*.f32 (/.f32 sinTheta_O v) (/.f32 sinTheta_i cosTheta_O))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(*.f32 #s(literal -1 binary32) (*.f32 cosTheta_O (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 cosTheta_i v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_O v)))))
(*.f32 (neg.f32 cosTheta_O) (fma.f32 #s(literal -1 binary32) (/.f32 cosTheta_i v) (*.f32 (/.f32 sinTheta_O cosTheta_O) (/.f32 sinTheta_i v))))
(*.f32 (-.f32 (*.f32 (/.f32 sinTheta_O v) (/.f32 sinTheta_i cosTheta_O)) (/.f32 cosTheta_i v)) (neg.f32 cosTheta_O))
(*.f32 #s(literal -1 binary32) (*.f32 cosTheta_O (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 cosTheta_i v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_O v)))))
(*.f32 (neg.f32 cosTheta_O) (fma.f32 #s(literal -1 binary32) (/.f32 cosTheta_i v) (*.f32 (/.f32 sinTheta_O cosTheta_O) (/.f32 sinTheta_i v))))
(*.f32 (-.f32 (*.f32 (/.f32 sinTheta_O v) (/.f32 sinTheta_i cosTheta_O)) (/.f32 cosTheta_i v)) (neg.f32 cosTheta_O))
(*.f32 #s(literal -1 binary32) (*.f32 cosTheta_O (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 cosTheta_i v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_O v)))))
(*.f32 (neg.f32 cosTheta_O) (fma.f32 #s(literal -1 binary32) (/.f32 cosTheta_i v) (*.f32 (/.f32 sinTheta_O cosTheta_O) (/.f32 sinTheta_i v))))
(*.f32 (-.f32 (*.f32 (/.f32 sinTheta_O v) (/.f32 sinTheta_i cosTheta_O)) (/.f32 cosTheta_i v)) (neg.f32 cosTheta_O))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(+.f32 (*.f32 #s(literal -1 binary32) (/.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 #s(literal -1 binary32) (/.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 #s(literal -1 binary32) (/.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 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(*.f32 sinTheta_i (/.f32 (neg.f32 sinTheta_O) v))
(*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)))
(*.f32 sinTheta_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i v))))
(*.f32 sinTheta_i (fma.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v) (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 sinTheta_i v)))))
(*.f32 sinTheta_i (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 sinTheta_i v))) (/.f32 sinTheta_O v)))
(*.f32 sinTheta_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i v))))
(*.f32 sinTheta_i (fma.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v) (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 sinTheta_i v)))))
(*.f32 sinTheta_i (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 sinTheta_i v))) (/.f32 sinTheta_O v)))
(*.f32 sinTheta_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i v))))
(*.f32 sinTheta_i (fma.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v) (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 sinTheta_i v)))))
(*.f32 sinTheta_i (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 sinTheta_i v))) (/.f32 sinTheta_O v)))
(*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(*.f32 sinTheta_i (/.f32 (neg.f32 sinTheta_O) v))
(*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)))
(*.f32 #s(literal -1 binary32) (*.f32 sinTheta_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i v))) (/.f32 sinTheta_O v))))
(*.f32 (neg.f32 sinTheta_i) (fma.f32 #s(literal -1 binary32) (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 sinTheta_i v))) (/.f32 sinTheta_O v)))
(*.f32 sinTheta_i (neg.f32 (-.f32 (/.f32 sinTheta_O v) (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 sinTheta_i v))))))
(*.f32 #s(literal -1 binary32) (*.f32 sinTheta_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i v))) (/.f32 sinTheta_O v))))
(*.f32 (neg.f32 sinTheta_i) (fma.f32 #s(literal -1 binary32) (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 sinTheta_i v))) (/.f32 sinTheta_O v)))
(*.f32 sinTheta_i (neg.f32 (-.f32 (/.f32 sinTheta_O v) (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 sinTheta_i v))))))
(*.f32 #s(literal -1 binary32) (*.f32 sinTheta_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i v))) (/.f32 sinTheta_O v))))
(*.f32 (neg.f32 sinTheta_i) (fma.f32 #s(literal -1 binary32) (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 sinTheta_i v))) (/.f32 sinTheta_O v)))
(*.f32 sinTheta_i (neg.f32 (-.f32 (/.f32 sinTheta_O v) (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 sinTheta_i v))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(+.f32 (*.f32 #s(literal -1 binary32) (/.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 #s(literal -1 binary32) (/.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 #s(literal -1 binary32) (/.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 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(*.f32 sinTheta_i (/.f32 (neg.f32 sinTheta_O) v))
(*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)))
(*.f32 sinTheta_O (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_i v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O v))))
(*.f32 sinTheta_O (fma.f32 #s(literal -1 binary32) (/.f32 sinTheta_i v) (*.f32 (/.f32 cosTheta_O sinTheta_O) (/.f32 cosTheta_i v))))
(*.f32 sinTheta_O (-.f32 (*.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O sinTheta_O)) (/.f32 sinTheta_i v)))
(*.f32 sinTheta_O (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_i v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O v))))
(*.f32 sinTheta_O (fma.f32 #s(literal -1 binary32) (/.f32 sinTheta_i v) (*.f32 (/.f32 cosTheta_O sinTheta_O) (/.f32 cosTheta_i v))))
(*.f32 sinTheta_O (-.f32 (*.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O sinTheta_O)) (/.f32 sinTheta_i v)))
(*.f32 sinTheta_O (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_i v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O v))))
(*.f32 sinTheta_O (fma.f32 #s(literal -1 binary32) (/.f32 sinTheta_i v) (*.f32 (/.f32 cosTheta_O sinTheta_O) (/.f32 cosTheta_i v))))
(*.f32 sinTheta_O (-.f32 (*.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O sinTheta_O)) (/.f32 sinTheta_i v)))
(*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(*.f32 sinTheta_i (/.f32 (neg.f32 sinTheta_O) v))
(*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)))
(*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O v))) (/.f32 sinTheta_i v))))
(*.f32 (neg.f32 sinTheta_O) (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 cosTheta_O sinTheta_O) (/.f32 cosTheta_i v)) (/.f32 sinTheta_i v)))
(*.f32 (-.f32 (/.f32 sinTheta_i v) (*.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O sinTheta_O))) (neg.f32 sinTheta_O))
(*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O v))) (/.f32 sinTheta_i v))))
(*.f32 (neg.f32 sinTheta_O) (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 cosTheta_O sinTheta_O) (/.f32 cosTheta_i v)) (/.f32 sinTheta_i v)))
(*.f32 (-.f32 (/.f32 sinTheta_i v) (*.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O sinTheta_O))) (neg.f32 sinTheta_O))
(*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O v))) (/.f32 sinTheta_i v))))
(*.f32 (neg.f32 sinTheta_O) (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 cosTheta_O sinTheta_O) (/.f32 cosTheta_i v)) (/.f32 sinTheta_i v)))
(*.f32 (-.f32 (/.f32 sinTheta_i v) (*.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O sinTheta_O))) (neg.f32 sinTheta_O))
(/.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)
(cbrt.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(cbrt.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) (/.f32 #s(literal 1 binary32) v)))))
(+.f32 (cbrt.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) (*.f32 #s(literal 1/3 binary32) (*.f32 (pow.f32 (*.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) #s(literal 7 binary32))) #s(literal 1/9 binary32)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))))
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#s(literal 1 binary32)
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#s(literal 1 binary32)
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#s(literal 1 binary32)
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(expm1.f32 (log1p.f32 (+.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
(expm1.f32 (log1p.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) #s(literal -1 binary32)) v)))))
(log1p.f32 (expm1.f32 (+.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
(+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) #s(literal -1 binary32)) v)))
(exp.f32 (log.f32 (+.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
(+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) #s(literal -1 binary32)) v)))
(exp.f32 (*.f32 (log.f32 (+.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) #s(literal 1 binary32)))
(+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) #s(literal -1 binary32)) v)))
(fma.f32 #s(literal 1 binary32) (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
(+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) #s(literal -1 binary32)) v)))
(fma.f32 #s(literal 1 binary32) (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) #s(literal 1 binary32)) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal 1/2 binary32)))) (neg.f32 (log.f32 v)))
(+.f32 (/.f32 (+.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) #s(literal -1 binary32)) v) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal 1/2 binary32))) (log.f32 v)))
(fma.f32 (pow.f32 (cbrt.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) #s(literal 1 binary32)) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal 1/2 binary32))))) #s(literal 2 binary32)) (cbrt.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) #s(literal 1 binary32)) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal 1/2 binary32))))) (neg.f32 (log.f32 v)))
(+.f32 (/.f32 (+.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) #s(literal -1 binary32)) v) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal 1/2 binary32))) (log.f32 v)))
(fma.f32 (pow.f32 (cbrt.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) #s(literal 2 binary32)) (cbrt.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
(+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) #s(literal -1 binary32)) v)))
(fma.f32 (sqrt.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) #s(literal 1 binary32)) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal 1/2 binary32))))) (sqrt.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) #s(literal 1 binary32)) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal 1/2 binary32))))) (neg.f32 (log.f32 v)))
(+.f32 (/.f32 (+.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) #s(literal -1 binary32)) v) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal 1/2 binary32))) (log.f32 v)))
(fma.f32 (sqrt.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) (sqrt.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
(+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) #s(literal -1 binary32)) v)))

eval704.0ms (3.9%)

Compiler

Compiled 31610 to 19328 computations (38.9% saved)

prune206.0ms (1.1%)

Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New8608868
Fresh448
Picked415
Done000
Total86813881
Accuracy
99.9%
Counts
881 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.5%
(pow.f32 (pow.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) v)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
▶99.7%
(pow.f32 (E.f32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) #s(literal -1 binary32)) v))))
6.3%
(-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
99.7%
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (pow.f32 (pow.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) #s(literal 1/6 binary32)) #s(literal 2 binary32)) #s(literal 3 binary32)))
99.7%
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 #s(literal 1 binary32)) (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))))
99.8%
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (cbrt.f32 (pow.f32 (E.f32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) #s(literal -1 binary32)) v)))) #s(literal 3 binary32)))
▶99.8%
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (cbrt.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)))) #s(literal 3 binary32)))
99.8%
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))))
▶97.5%
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32))) v))
✓12.8%
(exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))
97.1%
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (*.f32 cosTheta_i (+.f32 (/.f32 cosTheta_O v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i)))) (/.f32 #s(literal 1 binary32) v)))
▶99.7%
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))
▶6.5%
#s(literal 1 binary32)
Compiler

Compiled 526 to 407 computations (22.6% saved)

localize736.0ms (4.1%)

Localize:

Found 14 expressions with local error:

NewAccuracyProgram
✓99.9%
(+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) #s(literal -1 binary32)) v))
✓99.9%
(+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) #s(literal -1 binary32)) v)))
✓99.8%
(-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))
✓99.7%
(pow.f32 (E.f32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) #s(literal -1 binary32)) v))))
✓100.0%
(log.f32 (/.f32 #s(literal 1/2 binary32) v))
✓99.9%
(+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
✓99.9%
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))
✓99.7%
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))
✓100.0%
(*.f32 cosTheta_O cosTheta_i)
✓99.7%
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32))) v))
✓99.8%
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)))
✓99.7%
(+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
✓99.4%
(cbrt.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))))
75.3%
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
Compiler

Compiled 295 to 145 computations (50.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 230.0ms
Operation ival-div, time spent: 59.0ms, 26.0% of total-time
Operation ival-add, time spent: 36.0ms, 16.0% of total-time
Operation ival-pow, time spent: 33.0ms, 14.0% of total-time
Operation ival-log, time spent: 31.0ms, 13.0% of total-time
Operation ival-sub, time spent: 17.0ms, 7.0% of total-time
Operation ival-mult, time spent: 16.0ms, 7.0% of total-time
Operation ival-exp, time spent: 14.0ms, 6.0% of total-time
Operation ival-cbrt, time spent: 14.0ms, 6.0% of total-time
Operation const, time spent: 8.0ms, 3.0% of total-time
Operation ival-e, time spent: 3.0ms, 1.0% of total-time

series601.0ms (3.3%)

Counts
13 → 382
Calls
Call 1
Inputs
#<alt (cbrt.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))))>
#<alt (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))>
#<alt (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)))>
#<alt (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32))) v))>
#<alt (*.f32 cosTheta_O cosTheta_i)>
#<alt (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))>
#<alt (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))>
#<alt (log.f32 (/.f32 #s(literal 1/2 binary32) v))>
#<alt (pow.f32 (E.f32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) #s(literal -1 binary32)) v))))>
#<alt (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))>
#<alt (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) #s(literal -1 binary32)) v)))>
#<alt (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) #s(literal -1 binary32)) v))>
Outputs
#<alt (cbrt.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))>
#<alt (+.f32 (cbrt.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (*.f32 #s(literal 1/3 binary32) (*.f32 (pow.f32 (*.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) #s(literal 7 binary32))) #s(literal 1/9 binary32)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))))>
#<alt (+.f32 (cbrt.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (*.f32 cosTheta_O (+.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 cosTheta_O (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (pow.f32 cosTheta_i #s(literal 2 binary32)) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (pow.f32 v #s(literal 2 binary32)))) (*.f32 #s(literal 1/3 binary32) (*.f32 (pow.f32 (*.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) #s(literal 17 binary32))) #s(literal 1/9 binary32)) (/.f32 (pow.f32 cosTheta_i #s(literal 2 binary32)) (pow.f32 v #s(literal 2 binary32))))))) (cbrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)))))) (*.f32 #s(literal 1/3 binary32) (*.f32 (pow.f32 (*.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) #s(literal 7 binary32))) #s(literal 1/9 binary32)) (/.f32 cosTheta_i v))))))>
#<alt (+.f32 (cbrt.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (*.f32 cosTheta_O (+.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 (pow.f32 (*.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) #s(literal 7 binary32))) #s(literal 1/9 binary32)) (/.f32 cosTheta_i v))) (*.f32 cosTheta_O (+.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 (cbrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)))) (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (pow.f32 cosTheta_i #s(literal 2 binary32)) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (pow.f32 v #s(literal 2 binary32)))) (*.f32 #s(literal 1/3 binary32) (*.f32 (pow.f32 (*.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) #s(literal 17 binary32))) #s(literal 1/9 binary32)) (/.f32 (pow.f32 cosTheta_i #s(literal 2 binary32)) (pow.f32 v #s(literal 2 binary32)))))))) (*.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 cosTheta_O (-.f32 (*.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 (pow.f32 cosTheta_i #s(literal 3 binary32)) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (pow.f32 v #s(literal 3 binary32)))) (+.f32 (*.f32 #s(literal 1/27 binary32) (*.f32 (/.f32 (pow.f32 cosTheta_i #s(literal 3 binary32)) (pow.f32 v #s(literal 3 binary32))) (cbrt.f32 (pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) #s(literal 7 binary32))))) (*.f32 #s(literal 2/3 binary32) (*.f32 (pow.f32 (*.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) #s(literal 4 binary32))) #s(literal 1/9 binary32)) (/.f32 (*.f32 cosTheta_i (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (pow.f32 cosTheta_i #s(literal 2 binary32)) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (pow.f32 v #s(literal 2 binary32)))) (*.f32 #s(literal 1/3 binary32) (*.f32 (pow.f32 (*.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) #s(literal 17 binary32))) #s(literal 1/9 binary32)) (/.f32 (pow.f32 cosTheta_i #s(literal 2 binary32)) (pow.f32 v #s(literal 2 binary32))))))) v)))))) (cbrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)))))))))))>
#<alt (cbrt.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))>
#<alt (+.f32 (cbrt.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (*.f32 #s(literal 1/3 binary32) (*.f32 (pow.f32 (*.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) #s(literal 7 binary32))) #s(literal 1/9 binary32)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))))>
#<alt (+.f32 (cbrt.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (*.f32 cosTheta_i (+.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 cosTheta_i (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (pow.f32 cosTheta_O #s(literal 2 binary32)) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (pow.f32 v #s(literal 2 binary32)))) (*.f32 #s(literal 1/3 binary32) (*.f32 (pow.f32 (*.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) #s(literal 17 binary32))) #s(literal 1/9 binary32)) (/.f32 (pow.f32 cosTheta_O #s(literal 2 binary32)) (pow.f32 v #s(literal 2 binary32))))))) (cbrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)))))) (*.f32 #s(literal 1/3 binary32) (*.f32 (pow.f32 (*.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) #s(literal 7 binary32))) #s(literal 1/9 binary32)) (/.f32 cosTheta_O v))))))>
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#<alt (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))>
#<alt (*.f32 sinTheta_i (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) sinTheta_i)) (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) sinTheta_i) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i v)))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_i v)) (/.f32 sinTheta_O v))))>
#<alt (*.f32 sinTheta_i (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) sinTheta_i)) (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) sinTheta_i) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i v)))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_i v)) (/.f32 sinTheta_O v))))>
#<alt (*.f32 sinTheta_i (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) sinTheta_i)) (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) sinTheta_i) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i v)))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_i v)) (/.f32 sinTheta_O v))))>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_i (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 #s(literal 1 binary32) v)) sinTheta_i)) (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_i (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 #s(literal 1 binary32) v)) sinTheta_i)) (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_i (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 #s(literal 1 binary32) v)) sinTheta_i)) (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v)))))>
#<alt (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (*.f32 cosTheta_O (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_O)) (/.f32 cosTheta_i v)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_O v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_O v)))))>
#<alt (*.f32 cosTheta_O (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_O)) (/.f32 cosTheta_i v)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_O v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_O v)))))>
#<alt (*.f32 cosTheta_O (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_O)) (/.f32 cosTheta_i v)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_O v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_O v)))))>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 cosTheta_O (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 cosTheta_i v)) (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) cosTheta_O)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 cosTheta_O (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 cosTheta_i v)) (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) cosTheta_O)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 cosTheta_O (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 cosTheta_i v)) (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) cosTheta_O)))))>
#<alt (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (*.f32 cosTheta_i (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_i)) (/.f32 cosTheta_O v)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_i v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_i v)))))>
#<alt (*.f32 cosTheta_i (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_i)) (/.f32 cosTheta_O v)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_i v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_i v)))))>
#<alt (*.f32 cosTheta_i (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_i)) (/.f32 cosTheta_O v)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_i v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_i v)))))>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 cosTheta_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 cosTheta_O v)) (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) cosTheta_i)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 cosTheta_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 cosTheta_O v)) (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) cosTheta_i)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 cosTheta_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 cosTheta_O v)) (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) cosTheta_i)))))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 #s(literal 1 binary32) v))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 #s(literal 1 binary32) v))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 #s(literal 1 binary32) v))>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))>
#<alt (*.f32 sinTheta_O (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) sinTheta_O)) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O v))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_O v)) (/.f32 sinTheta_i v))))>
#<alt (*.f32 sinTheta_O (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) sinTheta_O)) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O v))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_O v)) (/.f32 sinTheta_i v))))>
#<alt (*.f32 sinTheta_O (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) sinTheta_O)) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O v))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_O v)) (/.f32 sinTheta_i v))))>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)) sinTheta_O)) (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_i v)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)) sinTheta_O)) (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_i v)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)) sinTheta_O)) (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_i v)))))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 #s(literal 1 binary32) v))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 #s(literal 1 binary32) v))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 #s(literal 1 binary32) v))>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))>
#<alt (*.f32 sinTheta_i (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) sinTheta_i)) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i v))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_i v)) (/.f32 sinTheta_O v))))>
#<alt (*.f32 sinTheta_i (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) sinTheta_i)) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i v))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_i v)) (/.f32 sinTheta_O v))))>
#<alt (*.f32 sinTheta_i (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) sinTheta_i)) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i v))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_i v)) (/.f32 sinTheta_O v))))>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_i (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)) sinTheta_i)) (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_i (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)) sinTheta_i)) (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_i (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)) sinTheta_i)) (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v)))))>
#<alt (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v)>
#<alt (/.f32 (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) v) (*.f32 cosTheta_O cosTheta_i)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v)>
#<alt (/.f32 (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) v) (*.f32 cosTheta_O cosTheta_i)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v)>
#<alt (/.f32 (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) v) (*.f32 cosTheta_O cosTheta_i)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v)>
#<alt #s(literal 6931/10000 binary32)>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))>
#<alt #s(literal 6931/10000 binary32)>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))>
Calls

117 calls:

TimeVariablePointExpression
460.0ms
sinTheta_i
@0
(pow (E) (+ (log (/ 1/2 v)) (+ 6931/10000 (/ (+ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) -1) v))))
45.0ms
v
@0
(+ 6931/10000 (log (/ 1/2 v)))
11.0ms
v
@inf
(+ 6931/10000 (log (/ 1/2 v)))
10.0ms
v
@-inf
(+ 6931/10000 (log (/ 1/2 v)))
6.0ms
cosTheta_i
@inf
(cbrt (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))

rewrite141.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
348×log1p-expm1-u
348×expm1-log1p-u
334×add-exp-log
333×add-log-exp
331×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
042526
1741484
Stop Event
1×node limit
Counts
13 → 314
Calls
Call 1
Inputs
(cbrt.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32))) v))
(*.f32 cosTheta_O cosTheta_i)
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))
(+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
(log.f32 (/.f32 #s(literal 1/2 binary32) v))
(pow.f32 (E.f32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) #s(literal -1 binary32)) v))))
(-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))
(+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) #s(literal -1 binary32)) v)))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) #s(literal -1 binary32)) v))
Outputs
(-.f32 (exp.f32 (log1p.f32 (cbrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)))))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (cbrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)))))
(*.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))))) #s(literal 2 binary32)) (cbrt.f32 (cbrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))))))
(*.f32 (pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))) #s(literal 1/6 binary32)) (pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))) #s(literal 1/6 binary32)))
(*.f32 (pow.f32 #s(literal 1 binary32) #s(literal 1/3 binary32)) (cbrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)))))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)))) #s(literal 2 binary32)) #s(literal 1/3 binary32)) (cbrt.f32 (cbrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))))))
(*.f32 (pow.f32 (sqrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)))) #s(literal 1/3 binary32)) (pow.f32 (sqrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)))) #s(literal 1/3 binary32)))
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(/.f32 (+.f32 (*.f32 (-.f32 #s(literal 48038761/100000000 binary32) (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 2 binary32))) (/.f32 v (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))))) (*.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 1 binary32))) (*.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 v (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))))))
(/.f32 (+.f32 (*.f32 (-.f32 #s(literal 48038761/100000000 binary32) (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 2 binary32))) v) (*.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))))) (*.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) v))
(/.f32 (+.f32 (*.f32 (-.f32 #s(literal 48038761/100000000 binary32) (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 2 binary32))) (neg.f32 v)) (*.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (neg.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))))) (*.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (neg.f32 v)))
(pow.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) #s(literal 2 binary32)))
(log.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))))))
(cbrt.f32 (pow.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))))
(log1p.f32 (expm1.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))))
(exp.f32 (log.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))))
(exp.f32 (*.f32 (log.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))) #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))
(fma.f32 #s(literal 1 binary32) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))
(fma.f32 #s(literal 1 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
(fma.f32 (pow.f32 (cbrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 2 binary32)) (cbrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))
(fma.f32 (pow.f32 (cbrt.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) #s(literal 2 binary32)) (cbrt.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))
(fma.f32 (pow.f32 (cbrt.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) #s(literal 2 binary32)) (cbrt.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
(fma.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (sqrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))
(fma.f32 (sqrt.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) (sqrt.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))
(fma.f32 (sqrt.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (sqrt.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
(-.f32 (exp.f32 (log1p.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))
(*.f32 (pow.f32 (cbrt.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) #s(literal 2 binary32)) (cbrt.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))))
(*.f32 (sqrt.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (sqrt.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))))
(/.f32 (+.f32 #s(literal 332956652491/1000000000000 binary32) (pow.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) #s(literal 3 binary32))) (+.f32 #s(literal 48038761/100000000 binary32) (-.f32 (pow.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) #s(literal 2 binary32)) (*.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))))
(/.f32 (-.f32 #s(literal 48038761/100000000 binary32) (pow.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) #s(literal 2 binary32))) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))
(pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 2 binary32)))
(log.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))))
(cbrt.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))))
(log1p.f32 (expm1.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))))
(exp.f32 (log.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))))
(exp.f32 (*.f32 (log.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))
(fma.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))
(fma.f32 (pow.f32 (cbrt.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 2 binary32)) (cbrt.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 6931/10000 binary32))
(fma.f32 (sqrt.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) (sqrt.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 6931/10000 binary32))

simplify428.0ms (2.4%)

Algorithm
1×egg-herbie
Rules
1638×fma-define
824×*-commutative
754×distribute-lft-in
746×distribute-rgt-in
738×times-frac
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0145551539651507
1408151539649513
Stop Event
1×node limit
Counts
696 → 770
Calls
Call 1
Inputs
(cbrt.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
(+.f32 (cbrt.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (*.f32 #s(literal 1/3 binary32) (*.f32 (pow.f32 (*.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) #s(literal 7 binary32))) #s(literal 1/9 binary32)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))))
(+.f32 (cbrt.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (*.f32 cosTheta_O (+.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 cosTheta_O (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (pow.f32 cosTheta_i #s(literal 2 binary32)) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (pow.f32 v #s(literal 2 binary32)))) (*.f32 #s(literal 1/3 binary32) (*.f32 (pow.f32 (*.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) #s(literal 17 binary32))) #s(literal 1/9 binary32)) (/.f32 (pow.f32 cosTheta_i #s(literal 2 binary32)) (pow.f32 v #s(literal 2 binary32))))))) (cbrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)))))) (*.f32 #s(literal 1/3 binary32) (*.f32 (pow.f32 (*.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) #s(literal 7 binary32))) #s(literal 1/9 binary32)) (/.f32 cosTheta_i v))))))
(+.f32 (cbrt.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (*.f32 cosTheta_O (+.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 (pow.f32 (*.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) #s(literal 7 binary32))) #s(literal 1/9 binary32)) (/.f32 cosTheta_i v))) (*.f32 cosTheta_O (+.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 (cbrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)))) (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (pow.f32 cosTheta_i #s(literal 2 binary32)) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (pow.f32 v #s(literal 2 binary32)))) (*.f32 #s(literal 1/3 binary32) (*.f32 (pow.f32 (*.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) #s(literal 17 binary32))) #s(literal 1/9 binary32)) (/.f32 (pow.f32 cosTheta_i #s(literal 2 binary32)) (pow.f32 v #s(literal 2 binary32)))))))) (*.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 cosTheta_O (-.f32 (*.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 (pow.f32 cosTheta_i #s(literal 3 binary32)) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (pow.f32 v #s(literal 3 binary32)))) (+.f32 (*.f32 #s(literal 1/27 binary32) (*.f32 (/.f32 (pow.f32 cosTheta_i #s(literal 3 binary32)) (pow.f32 v #s(literal 3 binary32))) (cbrt.f32 (pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) #s(literal 7 binary32))))) (*.f32 #s(literal 2/3 binary32) (*.f32 (pow.f32 (*.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) #s(literal 4 binary32))) #s(literal 1/9 binary32)) (/.f32 (*.f32 cosTheta_i (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (pow.f32 cosTheta_i #s(literal 2 binary32)) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (pow.f32 v #s(literal 2 binary32)))) (*.f32 #s(literal 1/3 binary32) (*.f32 (pow.f32 (*.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) #s(literal 17 binary32))) #s(literal 1/9 binary32)) (/.f32 (pow.f32 cosTheta_i #s(literal 2 binary32)) (pow.f32 v #s(literal 2 binary32))))))) v)))))) (cbrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)))))))))))
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(exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)))
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(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v))
(exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)))
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(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v))
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(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v))
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(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))
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(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v))
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(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v))
#s(literal 1 binary32)
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#s(literal 1 binary32)
(-.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
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(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) v)))))
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(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v)))))
(+.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))))) (*.f32 #s(literal -1 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))))) v)))
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(fma.f32 #s(literal 1 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
(fma.f32 (pow.f32 (cbrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 2 binary32)) (cbrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))
(fma.f32 (pow.f32 (cbrt.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) #s(literal 2 binary32)) (cbrt.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))
(fma.f32 (pow.f32 (cbrt.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) #s(literal 2 binary32)) (cbrt.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
(fma.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (sqrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))
(fma.f32 (sqrt.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) (sqrt.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))
(fma.f32 (sqrt.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (sqrt.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
(-.f32 (exp.f32 (log1p.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))
(*.f32 (pow.f32 (cbrt.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) #s(literal 2 binary32)) (cbrt.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))))
(*.f32 (sqrt.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (sqrt.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))))
(/.f32 (+.f32 #s(literal 332956652491/1000000000000 binary32) (pow.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) #s(literal 3 binary32))) (+.f32 #s(literal 48038761/100000000 binary32) (-.f32 (pow.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) #s(literal 2 binary32)) (*.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))))
(/.f32 (-.f32 #s(literal 48038761/100000000 binary32) (pow.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) #s(literal 2 binary32))) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))
(pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 2 binary32)))
(log.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))))
(cbrt.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))))
(log1p.f32 (expm1.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))))
(exp.f32 (log.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))))
(exp.f32 (*.f32 (log.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))
(fma.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))
(fma.f32 (pow.f32 (cbrt.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 2 binary32)) (cbrt.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 6931/10000 binary32))
(fma.f32 (sqrt.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) (sqrt.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 6931/10000 binary32))
Outputs
(cbrt.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
(cbrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(+.f32 (cbrt.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (*.f32 #s(literal 1/3 binary32) (*.f32 (pow.f32 (*.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) #s(literal 7 binary32))) #s(literal 1/9 binary32)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))))
(+.f32 (cbrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) (*.f32 #s(literal 1/3 binary32) (*.f32 (pow.f32 (pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) #s(literal 7 binary32)) #s(literal 1/9 binary32)) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))))
(fma.f32 #s(literal 1/3 binary32) (*.f32 (pow.f32 (pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) #s(literal 7 binary32)) #s(literal 1/9 binary32)) (*.f32 cosTheta_O (/.f32 cosTheta_i v))) (cbrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))))
(+.f32 (cbrt.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (*.f32 cosTheta_O (+.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 cosTheta_O (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (pow.f32 cosTheta_i #s(literal 2 binary32)) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (pow.f32 v #s(literal 2 binary32)))) (*.f32 #s(literal 1/3 binary32) (*.f32 (pow.f32 (*.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) #s(literal 17 binary32))) #s(literal 1/9 binary32)) (/.f32 (pow.f32 cosTheta_i #s(literal 2 binary32)) (pow.f32 v #s(literal 2 binary32))))))) (cbrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)))))) (*.f32 #s(literal 1/3 binary32) (*.f32 (pow.f32 (*.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) #s(literal 7 binary32))) #s(literal 1/9 binary32)) (/.f32 cosTheta_i v))))))
(+.f32 (cbrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) (+.f32 (*.f32 (*.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 cosTheta_O (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (pow.f32 cosTheta_i #s(literal 2 binary32))) (pow.f32 v #s(literal 2 binary32)))) (neg.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 (pow.f32 (pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) #s(literal 17 binary32)) #s(literal 1/9 binary32)) (/.f32 (pow.f32 cosTheta_i #s(literal 2 binary32)) (pow.f32 v #s(literal 2 binary32))))))))) (cbrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) #s(literal 2 binary32))))) cosTheta_O) (*.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 (pow.f32 (pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) #s(literal 7 binary32)) #s(literal 1/9 binary32)) (/.f32 cosTheta_i v))) cosTheta_O)))
(fma.f32 cosTheta_O (+.f32 (*.f32 (*.f32 #s(literal 1/3 binary32) (+.f32 (*.f32 cosTheta_O (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (pow.f32 cosTheta_i #s(literal 2 binary32))) (pow.f32 v #s(literal 2 binary32))))) (*.f32 cosTheta_O (*.f32 (*.f32 (pow.f32 (pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) #s(literal 17 binary32)) #s(literal 1/9 binary32)) (/.f32 (pow.f32 cosTheta_i #s(literal 2 binary32)) (pow.f32 v #s(literal 2 binary32)))) #s(literal -1/3 binary32))))) (cbrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) #s(literal 2 binary32))))) (*.f32 #s(literal 1/3 binary32) (*.f32 (pow.f32 (pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) #s(literal 7 binary32)) #s(literal 1/9 binary32)) (/.f32 cosTheta_i v)))) (cbrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))))
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(exp.f32 (neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
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#s(literal 1 binary32)
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#s(literal 1 binary32)
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(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v)))))
(exp.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal -1/2 binary32))) (log.f32 (/.f32 #s(literal -1 binary32) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (neg.f32 v)))))
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(+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) v))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) v))
(cbrt.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 3 binary32)))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) v))
(expm1.f32 (log1p.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))))
(expm1.f32 (log1p.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) v))))
(log1p.f32 (expm1.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) v))
(exp.f32 (log.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) v))
(exp.f32 (*.f32 (log.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) #s(literal 1 binary32)))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) v))
(fma.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) v))
(fma.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))
(fma.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))
(fma.f32 (pow.f32 (cbrt.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 2 binary32)) (cbrt.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 6931/10000 binary32))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) v))
(fma.f32 (sqrt.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) (sqrt.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 6931/10000 binary32))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) v))

eval594.0ms (3.3%)

Compiler

Compiled 26575 to 17947 computations (32.5% saved)

prune245.0ms (1.4%)

Pruning

15 alts after pruning (13 fresh and 2 done)

PrunedKeptTotal
New8369845
Fresh347
Picked325
Done101
Total84315858
Accuracy
99.9%
Counts
858 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.5%
(pow.f32 (pow.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) v)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
99.7%
(pow.f32 (E.f32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) v) (*.f32 cosTheta_O cosTheta_i)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v)))
99.7%
(pow.f32 (E.f32) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal 1 binary32) v))))
▶99.8%
(/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 #s(literal 1 binary32) v)))
▶6.3%
(-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
99.7%
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (pow.f32 (pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))) #s(literal 1/6 binary32)) #s(literal 2 binary32)) #s(literal 3 binary32)))
▶99.6%
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))) #s(literal 1/3 binary32)) #s(literal 3 binary32)))
▶99.7%
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 #s(literal 1 binary32)) (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))))
99.8%
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (cbrt.f32 (pow.f32 (E.f32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)))) #s(literal 3 binary32)))
▶99.8%
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (cbrt.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) #s(literal 3 binary32)))
99.8%
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
97.5%
(exp.f32 (/.f32 #s(literal -1 binary32) v))
97.1%
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (*.f32 cosTheta_i (+.f32 (/.f32 cosTheta_O v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i)))) (/.f32 #s(literal 1 binary32) v)))
✓99.7%
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))
✓6.5%
#s(literal 1 binary32)
Compiler

Compiled 552 to 448 computations (18.8% saved)

localize999.0ms (5.5%)

Localize:

Found 17 expressions with local error:

NewAccuracyProgram
✓100.0%
(pow.f32 (pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))) #s(literal 1/3 binary32)) #s(literal 3 binary32))
✓99.9%
(+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))
✓99.8%
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)))
✓99.2%
(pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))) #s(literal 1/3 binary32))
✓99.9%
(+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))
99.8%
(-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))
✓99.8%
(pow.f32 (exp.f32 #s(literal 1 binary32)) (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))
86.1%
(/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)
✓100.0%
(/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 #s(literal 1 binary32) v)))
✓99.8%
(exp.f32 (/.f32 #s(literal 1 binary32) v))
✓99.0%
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)))
✓100.0%
(-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
✓99.3%
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
✓100.0%
(pow.f32 (cbrt.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) #s(literal 3 binary32))
✓99.9%
(-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))
✓99.8%
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))
✓99.4%
(cbrt.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
Compiler

Compiled 304 to 174 computations (42.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 313.0ms
Operation ival-pow, time spent: 113.0ms, 36.0% of total-time
Operation ival-div, time spent: 99.0ms, 32.0% of total-time
Operation ival-exp, time spent: 37.0ms, 12.0% of total-time
Operation ival-sub, time spent: 23.0ms, 7.0% of total-time
Operation ival-mult, time spent: 15.0ms, 5.0% of total-time
Operation const, time spent: 11.0ms, 4.0% of total-time
Operation ival-add, time spent: 10.0ms, 3.0% of total-time
Operation ival-cbrt, time spent: 5.0ms, 2.0% of total-time

series56.0ms (0.3%)

Counts
15 → 402
Calls
Call 1
Inputs
#<alt (cbrt.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))>
#<alt (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))>
#<alt (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))>
#<alt (pow.f32 (cbrt.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) #s(literal 3 binary32))>
#<alt (*.f32 sinTheta_O (/.f32 sinTheta_i v))>
#<alt (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))>
#<alt (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)))>
#<alt (exp.f32 (/.f32 #s(literal 1 binary32) v))>
#<alt (/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 #s(literal 1 binary32) v)))>
#<alt (pow.f32 (exp.f32 #s(literal 1 binary32)) (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))>
#<alt (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))>
#<alt (pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))) #s(literal 1/3 binary32))>
#<alt (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)))>
#<alt (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))>
#<alt (pow.f32 (pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))) #s(literal 1/3 binary32)) #s(literal 3 binary32))>
Outputs
#<alt (cbrt.f32 (exp.f32 #s(literal 6931/10000 binary32)))>
#<alt (+.f32 (cbrt.f32 (exp.f32 #s(literal 6931/10000 binary32))) (*.f32 #s(literal -1/3 binary32) (*.f32 (pow.f32 (*.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 7 binary32))) #s(literal 1/9 binary32)) (/.f32 #s(literal 1 binary32) v))))>
#<alt (+.f32 (cbrt.f32 (exp.f32 #s(literal 6931/10000 binary32))) (+.f32 (*.f32 #s(literal -1/3 binary32) (*.f32 (pow.f32 (*.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 7 binary32))) #s(literal 1/9 binary32)) (/.f32 #s(literal 1 binary32) v))) (*.f32 #s(literal 1/3 binary32) (*.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (*.f32 #s(literal 1/3 binary32) (pow.f32 (*.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 17 binary32))) #s(literal 1/9 binary32)))) (pow.f32 v #s(literal 2 binary32))) (cbrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 2 binary32))))))))>
#<alt (+.f32 (cbrt.f32 (exp.f32 #s(literal 6931/10000 binary32))) (+.f32 (*.f32 #s(literal -1/3 binary32) (*.f32 (pow.f32 (*.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 7 binary32))) #s(literal 1/9 binary32)) (/.f32 #s(literal 1 binary32) v))) (+.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 (/.f32 (-.f32 (*.f32 #s(literal -1/6 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (+.f32 (*.f32 #s(literal -2/3 binary32) (*.f32 (pow.f32 (*.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 4 binary32))) #s(literal 1/9 binary32)) (-.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (*.f32 #s(literal 1/3 binary32) (pow.f32 (*.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 17 binary32))) #s(literal 1/9 binary32)))))) (*.f32 #s(literal -1/27 binary32) (cbrt.f32 (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 7 binary32)))))) (pow.f32 v #s(literal 3 binary32))) (cbrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 2 binary32)))))) (*.f32 #s(literal 1/3 binary32) (*.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (*.f32 #s(literal 1/3 binary32) (pow.f32 (*.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 17 binary32))) #s(literal 1/9 binary32)))) (pow.f32 v #s(literal 2 binary32))) (cbrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 2 binary32)))))))))>
#<alt (cbrt.f32 (exp.f32 #s(literal 6931/10000 binary32)))>
#<alt (+.f32 (cbrt.f32 (exp.f32 #s(literal 6931/10000 binary32))) (*.f32 #s(literal -1/3 binary32) (*.f32 (pow.f32 (*.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 7 binary32))) #s(literal 1/9 binary32)) (/.f32 #s(literal 1 binary32) v))))>
#<alt (+.f32 (cbrt.f32 (exp.f32 #s(literal 6931/10000 binary32))) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1/3 binary32) (*.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (*.f32 #s(literal 1/3 binary32) (pow.f32 (*.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 17 binary32))) #s(literal 1/9 binary32)))) v) (cbrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 2 binary32)))))) (*.f32 #s(literal 1/3 binary32) (pow.f32 (*.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 7 binary32))) #s(literal 1/9 binary32)))) v)))>
#<alt (+.f32 (cbrt.f32 (exp.f32 #s(literal 6931/10000 binary32))) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1/3 binary32) (*.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/6 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (+.f32 (*.f32 #s(literal 1/27 binary32) (cbrt.f32 (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 7 binary32)))) (*.f32 #s(literal 2/3 binary32) (*.f32 (pow.f32 (*.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 4 binary32))) #s(literal 1/9 binary32)) (-.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (*.f32 #s(literal 1/3 binary32) (pow.f32 (*.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 17 binary32))) #s(literal 1/9 binary32)))))))) v) (cbrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 2 binary32)))))) (*.f32 #s(literal 1/3 binary32) (*.f32 (cbrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 2 binary32)))) (-.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (*.f32 #s(literal 1/3 binary32) (pow.f32 (*.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 17 binary32))) #s(literal 1/9 binary32))))))) v)) (*.f32 #s(literal 1/3 binary32) (pow.f32 (*.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 7 binary32))) #s(literal 1/9 binary32)))) v)))>
#<alt (exp.f32 #s(literal 6931/10000 binary32))>
#<alt (+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 #s(literal -1 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v)))>
#<alt (+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v)) (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (pow.f32 v #s(literal 2 binary32))))))>
#<alt (+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v)) (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (pow.f32 v #s(literal 3 binary32)))) (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (pow.f32 v #s(literal 2 binary32)))))))>
#<alt (exp.f32 #s(literal 6931/10000 binary32))>
#<alt (+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 #s(literal -1 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v)))>
#<alt (+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v))) v)))>
#<alt (+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v)) (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32)))) v))) v)))>
#<alt (/.f32 #s(literal -1 binary32) v)>
#<alt (/.f32 (-.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal 1 binary32)) v)>
#<alt (/.f32 (-.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal 1 binary32)) v)>
#<alt (/.f32 (-.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal 1 binary32)) v)>
#<alt #s(literal 6931/10000 binary32)>
#<alt #s(literal 6931/10000 binary32)>
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#<alt (*.f32 #s(literal -1 binary32) (*.f32 cosTheta_O (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 cosTheta_i v)) (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) cosTheta_O)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 cosTheta_O (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 cosTheta_i v)) (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) cosTheta_O)))))>
#<alt (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (*.f32 cosTheta_i (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_i)) (/.f32 cosTheta_O v)) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_i v))))>
#<alt (*.f32 cosTheta_i (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_i)) (/.f32 cosTheta_O v)) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_i v))))>
#<alt (*.f32 cosTheta_i (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_i)) (/.f32 cosTheta_O v)) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_i v))))>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 cosTheta_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 cosTheta_O v)) (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) cosTheta_i)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 cosTheta_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 cosTheta_O v)) (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) cosTheta_i)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 cosTheta_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 cosTheta_O v)) (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) cosTheta_i)))))>
#<alt (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)>
#<alt (/.f32 (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) v) (*.f32 cosTheta_O cosTheta_i)) #s(literal 1 binary32)) v)>
#<alt (/.f32 (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) v) (*.f32 cosTheta_O cosTheta_i)) #s(literal 1 binary32)) v)>
#<alt (/.f32 (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) v) (*.f32 cosTheta_O cosTheta_i)) #s(literal 1 binary32)) v)>
#<alt #s(literal 6931/10000 binary32)>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))>
#<alt #s(literal 6931/10000 binary32)>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))>
#<alt (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))>
#<alt (+.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) v))>
#<alt (+.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (*.f32 cosTheta_O (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta_O (*.f32 (pow.f32 cosTheta_i #s(literal 2 binary32)) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) (pow.f32 v #s(literal 2 binary32)))) (/.f32 (*.f32 cosTheta_i (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) v))))>
#<alt (+.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (*.f32 cosTheta_O (+.f32 (*.f32 cosTheta_O (+.f32 (*.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 cosTheta_O (*.f32 (pow.f32 cosTheta_i #s(literal 3 binary32)) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) (pow.f32 v #s(literal 3 binary32)))) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (pow.f32 cosTheta_i #s(literal 2 binary32)) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (pow.f32 v #s(literal 2 binary32)))))) (/.f32 (*.f32 cosTheta_i (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) v))))>
#<alt (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)))>
#<alt (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)))>
#<alt (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)))>
#<alt (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)))>
#<alt (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)))>
#<alt (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)))>
#<alt (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)))>
#<alt (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)))>
#<alt (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))>
#<alt (+.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) v))>
#<alt (+.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (*.f32 cosTheta_i (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (pow.f32 cosTheta_O #s(literal 2 binary32)) (*.f32 cosTheta_i (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) (pow.f32 v #s(literal 2 binary32)))) (/.f32 (*.f32 cosTheta_O (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) v))))>
#<alt (+.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (*.f32 cosTheta_i (+.f32 (*.f32 cosTheta_i (+.f32 (*.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 (pow.f32 cosTheta_O #s(literal 3 binary32)) (*.f32 cosTheta_i (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) (pow.f32 v #s(literal 3 binary32)))) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (pow.f32 cosTheta_O #s(literal 2 binary32)) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (pow.f32 v #s(literal 2 binary32)))))) (/.f32 (*.f32 cosTheta_O (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) v))))>
#<alt (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)))>
#<alt (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)))>
#<alt (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)))>
#<alt (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)))>
#<alt (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)))>
#<alt (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)))>
#<alt (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)))>
#<alt (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)))>
#<alt (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)))>
#<alt (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)))>
#<alt (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)))>
#<alt (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)))>
#<alt (exp.f32 #s(literal 6931/10000 binary32))>
#<alt (+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32))) v))>
#<alt (+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (pow.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 2 binary32))) (pow.f32 v #s(literal 2 binary32)))) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32))) v)))>
#<alt (+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (+.f32 (*.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (pow.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 3 binary32))) (pow.f32 v #s(literal 3 binary32)))) (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (pow.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 2 binary32))) (pow.f32 v #s(literal 2 binary32)))) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32))) v))))>
#<alt (exp.f32 #s(literal 6931/10000 binary32))>
#<alt (+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32))) v))>
#<alt (+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)))) (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (pow.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 2 binary32))) v))) v)))>
#<alt (+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)))) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (pow.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 3 binary32))) v)) (*.f32 #s(literal 1/2 binary32) (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (pow.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 2 binary32))))) v))) v)))>
Calls

105 calls:

TimeVariablePointExpression
6.0ms
v
@0
(/ (* (/ 1/2 v) (exp 6931/10000)) (exp (/ 1 v)))
4.0ms
v
@inf
(pow (exp (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) 1) v))) 1/3)
2.0ms
v
@-inf
(pow (exp (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) 1) v))) 1/3)
2.0ms
v
@0
(cbrt (exp (- 6931/10000 (/ 1 v))))
1.0ms
cosTheta_O
@inf
(pow (exp (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) 1) v))) 1/3)

rewrite143.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
345×log1p-expm1-u
345×expm1-log1p-u
334×add-exp-log
332×add-log-exp
331×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047443
1810443
Stop Event
1×node limit
Counts
15 → 302
Calls
Call 1
Inputs
(cbrt.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))
(pow.f32 (cbrt.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) #s(literal 3 binary32))
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)))
(exp.f32 (/.f32 #s(literal 1 binary32) v))
(/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 #s(literal 1 binary32) v)))
(pow.f32 (exp.f32 #s(literal 1 binary32)) (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))
(+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))
(pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))) #s(literal 1/3 binary32))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))
(pow.f32 (pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))) #s(literal 1/3 binary32)) #s(literal 3 binary32))
Outputs
(-.f32 (exp.f32 (log1p.f32 (cbrt.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (cbrt.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))
(*.f32 (cbrt.f32 (cbrt.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) (pow.f32 (cbrt.f32 (cbrt.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) #s(literal 2 binary32)))
(*.f32 (cbrt.f32 (cbrt.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) (pow.f32 (pow.f32 (cbrt.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32)) #s(literal 1/3 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) #s(literal 2 binary32)) (cbrt.f32 (cbrt.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))))
(*.f32 (pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) #s(literal 1/6 binary32)) (pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) #s(literal 1/6 binary32)))
(*.f32 (pow.f32 #s(literal 1 binary32) #s(literal 1/3 binary32)) (cbrt.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32)) #s(literal 1/3 binary32)) (cbrt.f32 (cbrt.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))))
(*.f32 (pow.f32 (sqrt.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) #s(literal 1/3 binary32)) (pow.f32 (sqrt.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) #s(literal 1/3 binary32)))
(/.f32 (cbrt.f32 (exp.f32 #s(literal 6931/10000 binary32))) (cbrt.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v))))
(pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) #s(literal 1/3 binary32))
(pow.f32 (cbrt.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (cbrt.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) #s(literal 1/6 binary32)) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (cbrt.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32)))
(log.f32 (exp.f32 (cbrt.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (cbrt.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))))
(expm1.f32 (log1p.f32 (cbrt.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))))
(log1p.f32 (expm1.f32 (cbrt.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))))
(exp.f32 (*.f32 #s(literal 1/3 binary32) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
(exp.f32 (*.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) #s(literal 1/3 binary32)))
(exp.f32 (*.f32 (*.f32 #s(literal 1/3 binary32) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) #s(literal 1 binary32)))
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(*.f32 (cbrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))) (pow.f32 (cbrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))) #s(literal 2 binary32)))
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(*.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)) (exp.f32 #s(literal 6931/10000 binary32)))
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(pow.f32 (E.f32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))
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(pow.f32 (pow.f32 (cbrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))) #s(literal 2 binary32)) #s(literal 3/2 binary32))
(pow.f32 (pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))) #s(literal 2 binary32))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))) #s(literal 2 binary32))) (cbrt.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))))
(pow.f32 (exp.f32 (sqrt.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))) (sqrt.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))))
(sqrt.f32 (pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))) #s(literal 2 binary32)))
(log.f32 (exp.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))))))
(cbrt.f32 (pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))))
(log1p.f32 (expm1.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))))
(-.f32 (exp.f32 (log1p.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))
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(*.f32 (pow.f32 (cbrt.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))) #s(literal 2 binary32)) (cbrt.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))))
(*.f32 (sqrt.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))) (sqrt.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))))
(/.f32 (+.f32 #s(literal 332956652491/1000000000000 binary32) (pow.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v) #s(literal 3 binary32))) (+.f32 #s(literal 48038761/100000000 binary32) (-.f32 (pow.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v) #s(literal 2 binary32)) (*.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))))
(/.f32 (-.f32 #s(literal 48038761/100000000 binary32) (pow.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v) #s(literal 2 binary32))) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))
(pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)) #s(literal 2 binary32)))
(log.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))))
(cbrt.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))))
(log1p.f32 (expm1.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))))
(exp.f32 (log.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))))
(exp.f32 (*.f32 (log.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))) #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))
(fma.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))
(fma.f32 (pow.f32 (cbrt.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)) #s(literal 2 binary32)) (cbrt.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)) #s(literal 6931/10000 binary32))
(fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)) (sqrt.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)) #s(literal 6931/10000 binary32))
(-.f32 (exp.f32 (log1p.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))))
(*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))
(*.f32 (cbrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))) (pow.f32 (cbrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))) #s(literal 2 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))) #s(literal 2 binary32)) (cbrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))))
(*.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)) (exp.f32 #s(literal 6931/10000 binary32)))
(*.f32 (sqrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))) (sqrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))))
(*.f32 (pow.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))) #s(literal 2 binary32))) #s(literal 3 binary32)) (cbrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))))
(*.f32 (pow.f32 (pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))) #s(literal 1/6 binary32)) #s(literal 3 binary32)) (pow.f32 (pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))) #s(literal 1/6 binary32)) #s(literal 3 binary32)))
(sqrt.f32 (pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))) #s(literal 2 binary32)))
(log.f32 (exp.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))))))
(cbrt.f32 (pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))))
(log1p.f32 (expm1.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))
(exp.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)) #s(literal 1 binary32)))

simplify360.0ms (2%)

Algorithm
1×egg-herbie
Rules
1426×fma-define
1280×associate-*l*
630×*-commutative
582×times-frac
542×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0117877309441737
1303977309440134
Stop Event
1×node limit
Counts
704 → 607
Calls
Call 1
Inputs
(cbrt.f32 (exp.f32 #s(literal 6931/10000 binary32)))
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(+.f32 (cbrt.f32 (exp.f32 #s(literal 6931/10000 binary32))) (+.f32 (*.f32 #s(literal -1/3 binary32) (*.f32 (pow.f32 (*.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 7 binary32))) #s(literal 1/9 binary32)) (/.f32 #s(literal 1 binary32) v))) (*.f32 #s(literal 1/3 binary32) (*.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (*.f32 #s(literal 1/3 binary32) (pow.f32 (*.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 17 binary32))) #s(literal 1/9 binary32)))) (pow.f32 v #s(literal 2 binary32))) (cbrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 2 binary32))))))))
(+.f32 (cbrt.f32 (exp.f32 #s(literal 6931/10000 binary32))) (+.f32 (*.f32 #s(literal -1/3 binary32) (*.f32 (pow.f32 (*.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 7 binary32))) #s(literal 1/9 binary32)) (/.f32 #s(literal 1 binary32) v))) (+.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 (/.f32 (-.f32 (*.f32 #s(literal -1/6 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (+.f32 (*.f32 #s(literal -2/3 binary32) (*.f32 (pow.f32 (*.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 4 binary32))) #s(literal 1/9 binary32)) (-.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (*.f32 #s(literal 1/3 binary32) (pow.f32 (*.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 17 binary32))) #s(literal 1/9 binary32)))))) (*.f32 #s(literal -1/27 binary32) (cbrt.f32 (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 7 binary32)))))) (pow.f32 v #s(literal 3 binary32))) (cbrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 2 binary32)))))) (*.f32 #s(literal 1/3 binary32) (*.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (*.f32 #s(literal 1/3 binary32) (pow.f32 (*.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 17 binary32))) #s(literal 1/9 binary32)))) (pow.f32 v #s(literal 2 binary32))) (cbrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 2 binary32)))))))))
(cbrt.f32 (exp.f32 #s(literal 6931/10000 binary32)))
(+.f32 (cbrt.f32 (exp.f32 #s(literal 6931/10000 binary32))) (*.f32 #s(literal -1/3 binary32) (*.f32 (pow.f32 (*.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 7 binary32))) #s(literal 1/9 binary32)) (/.f32 #s(literal 1 binary32) v))))
(+.f32 (cbrt.f32 (exp.f32 #s(literal 6931/10000 binary32))) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1/3 binary32) (*.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (*.f32 #s(literal 1/3 binary32) (pow.f32 (*.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 17 binary32))) #s(literal 1/9 binary32)))) v) (cbrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 2 binary32)))))) (*.f32 #s(literal 1/3 binary32) (pow.f32 (*.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 7 binary32))) #s(literal 1/9 binary32)))) v)))
(+.f32 (cbrt.f32 (exp.f32 #s(literal 6931/10000 binary32))) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1/3 binary32) (*.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/6 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (+.f32 (*.f32 #s(literal 1/27 binary32) (cbrt.f32 (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 7 binary32)))) (*.f32 #s(literal 2/3 binary32) (*.f32 (pow.f32 (*.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 4 binary32))) #s(literal 1/9 binary32)) (-.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (*.f32 #s(literal 1/3 binary32) (pow.f32 (*.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 17 binary32))) #s(literal 1/9 binary32)))))))) v) (cbrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 2 binary32)))))) (*.f32 #s(literal 1/3 binary32) (*.f32 (cbrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 2 binary32)))) (-.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (*.f32 #s(literal 1/3 binary32) (pow.f32 (*.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 17 binary32))) #s(literal 1/9 binary32))))))) v)) (*.f32 #s(literal 1/3 binary32) (pow.f32 (*.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 7 binary32))) #s(literal 1/9 binary32)))) v)))
(exp.f32 #s(literal 6931/10000 binary32))
(+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 #s(literal -1 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v)))
(+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v)) (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (pow.f32 v #s(literal 2 binary32))))))
(+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v)) (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (pow.f32 v #s(literal 3 binary32)))) (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (pow.f32 v #s(literal 2 binary32)))))))
(exp.f32 #s(literal 6931/10000 binary32))
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(*.f32 #s(literal 3 binary32) (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)) #s(literal 1/3 binary32)))
(*.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)) #s(literal 1/3 binary32)) #s(literal 3 binary32))
(*.f32 (pow.f32 (cbrt.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))) #s(literal 2 binary32)) (cbrt.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))))
(*.f32 (sqrt.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))) (sqrt.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))))
(/.f32 (+.f32 #s(literal 332956652491/1000000000000 binary32) (pow.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v) #s(literal 3 binary32))) (+.f32 #s(literal 48038761/100000000 binary32) (-.f32 (pow.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v) #s(literal 2 binary32)) (*.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))))
(/.f32 (-.f32 #s(literal 48038761/100000000 binary32) (pow.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v) #s(literal 2 binary32))) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))
(pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)) #s(literal 2 binary32)))
(log.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))))
(cbrt.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))))
(log1p.f32 (expm1.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))))
(exp.f32 (log.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))))
(exp.f32 (*.f32 (log.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))) #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))
(fma.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))
(fma.f32 (pow.f32 (cbrt.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)) #s(literal 2 binary32)) (cbrt.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)) #s(literal 6931/10000 binary32))
(fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)) (sqrt.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)) #s(literal 6931/10000 binary32))
(-.f32 (exp.f32 (log1p.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))))
(*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))
(*.f32 (cbrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))) (pow.f32 (cbrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))) #s(literal 2 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))) #s(literal 2 binary32)) (cbrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))))
(*.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)) (exp.f32 #s(literal 6931/10000 binary32)))
(*.f32 (sqrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))) (sqrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))))
(*.f32 (pow.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))) #s(literal 2 binary32))) #s(literal 3 binary32)) (cbrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))))
(*.f32 (pow.f32 (pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))) #s(literal 1/6 binary32)) #s(literal 3 binary32)) (pow.f32 (pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))) #s(literal 1/6 binary32)) #s(literal 3 binary32)))
(sqrt.f32 (pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))) #s(literal 2 binary32)))
(log.f32 (exp.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))))))
(cbrt.f32 (pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))))
(log1p.f32 (expm1.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))
(exp.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)) #s(literal 1 binary32)))
Outputs
(cbrt.f32 (exp.f32 #s(literal 6931/10000 binary32)))
(+.f32 (cbrt.f32 (exp.f32 #s(literal 6931/10000 binary32))) (*.f32 #s(literal -1/3 binary32) (*.f32 (pow.f32 (*.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 7 binary32))) #s(literal 1/9 binary32)) (/.f32 #s(literal 1 binary32) v))))
(+.f32 (cbrt.f32 (exp.f32 #s(literal 6931/10000 binary32))) (*.f32 #s(literal -1/3 binary32) (*.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 7 binary32)) #s(literal 1/9 binary32)) (/.f32 #s(literal 1 binary32) v))))
(fma.f32 #s(literal -1/3 binary32) (*.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 7 binary32)) #s(literal 1/9 binary32)) (/.f32 #s(literal 1 binary32) v)) (cbrt.f32 (exp.f32 #s(literal 6931/10000 binary32))))
(+.f32 (cbrt.f32 (exp.f32 #s(literal 6931/10000 binary32))) (+.f32 (*.f32 #s(literal -1/3 binary32) (*.f32 (pow.f32 (*.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 7 binary32))) #s(literal 1/9 binary32)) (/.f32 #s(literal 1 binary32) v))) (*.f32 #s(literal 1/3 binary32) (*.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (*.f32 #s(literal 1/3 binary32) (pow.f32 (*.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 17 binary32))) #s(literal 1/9 binary32)))) (pow.f32 v #s(literal 2 binary32))) (cbrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 2 binary32))))))))
(+.f32 (cbrt.f32 (exp.f32 #s(literal 6931/10000 binary32))) (+.f32 (*.f32 #s(literal -1/3 binary32) (*.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 7 binary32)) #s(literal 1/9 binary32)) (/.f32 #s(literal 1 binary32) v))) (*.f32 #s(literal 1/3 binary32) (/.f32 (*.f32 (+.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)) (*.f32 #s(literal -1/3 binary32) (pow.f32 (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 17 binary32)) #s(literal 1/9 binary32)))) (cbrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 2 binary32))))) (pow.f32 v #s(literal 2 binary32))))))
(+.f32 (*.f32 #s(literal -1/3 binary32) (*.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 7 binary32)) #s(literal 1/9 binary32)) (/.f32 #s(literal 1 binary32) v))) (+.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 (/.f32 (+.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)) (*.f32 #s(literal -1/3 binary32) (pow.f32 (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 17 binary32)) #s(literal 1/9 binary32)))) v) (/.f32 (cbrt.f32 (/.f32 #s(literal 1 binary32) (exp.f32 #s(literal 6931/5000 binary32)))) v))) (cbrt.f32 (exp.f32 #s(literal 6931/10000 binary32)))))
(+.f32 (cbrt.f32 (exp.f32 #s(literal 6931/10000 binary32))) (+.f32 (*.f32 #s(literal -1/3 binary32) (*.f32 (pow.f32 (*.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 7 binary32))) #s(literal 1/9 binary32)) (/.f32 #s(literal 1 binary32) v))) (+.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 (/.f32 (-.f32 (*.f32 #s(literal -1/6 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (+.f32 (*.f32 #s(literal -2/3 binary32) (*.f32 (pow.f32 (*.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 4 binary32))) #s(literal 1/9 binary32)) (-.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (*.f32 #s(literal 1/3 binary32) (pow.f32 (*.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 17 binary32))) #s(literal 1/9 binary32)))))) (*.f32 #s(literal -1/27 binary32) (cbrt.f32 (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 7 binary32)))))) (pow.f32 v #s(literal 3 binary32))) (cbrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 2 binary32)))))) (*.f32 #s(literal 1/3 binary32) (*.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (*.f32 #s(literal 1/3 binary32) (pow.f32 (*.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 17 binary32))) #s(literal 1/9 binary32)))) (pow.f32 v #s(literal 2 binary32))) (cbrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 2 binary32)))))))))
(+.f32 (cbrt.f32 (exp.f32 #s(literal 6931/10000 binary32))) (+.f32 (*.f32 #s(literal -1/3 binary32) (*.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 7 binary32)) #s(literal 1/9 binary32)) (/.f32 #s(literal 1 binary32) v))) (+.f32 (*.f32 #s(literal 1/3 binary32) (/.f32 (*.f32 (+.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)) (*.f32 #s(literal -1/3 binary32) (pow.f32 (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 17 binary32)) #s(literal 1/9 binary32)))) (cbrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 2 binary32))))) (pow.f32 v #s(literal 2 binary32)))) (*.f32 #s(literal 1/3 binary32) (/.f32 (*.f32 (-.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal -1/6 binary32)) (+.f32 (*.f32 #s(literal -2/3 binary32) (*.f32 (+.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)) (*.f32 #s(literal -1/3 binary32) (pow.f32 (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 17 binary32)) #s(literal 1/9 binary32)))) (pow.f32 (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 4 binary32)) #s(literal 1/9 binary32)))) (*.f32 #s(literal -1/27 binary32) (cbrt.f32 (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 7 binary32)))))) (cbrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 2 binary32))))) (pow.f32 v #s(literal 3 binary32)))))))
(+.f32 (fma.f32 #s(literal -1/3 binary32) (*.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 7 binary32)) #s(literal 1/9 binary32)) (/.f32 #s(literal 1 binary32) v)) (cbrt.f32 (exp.f32 #s(literal 6931/10000 binary32)))) (fma.f32 #s(literal 1/3 binary32) (*.f32 (/.f32 (+.f32 (+.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal -1/6 binary32)) (*.f32 (*.f32 #s(literal 2/3 binary32) (pow.f32 (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 4 binary32)) #s(literal 1/9 binary32))) (+.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)) (*.f32 #s(literal -1/3 binary32) (pow.f32 (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 17 binary32)) #s(literal 1/9 binary32)))))) (*.f32 (cbrt.f32 (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 7 binary32))) #s(literal 1/27 binary32))) v) (/.f32 (cbrt.f32 (/.f32 #s(literal 1 binary32) (exp.f32 #s(literal 6931/5000 binary32)))) (pow.f32 v #s(literal 2 binary32)))) (*.f32 #s(literal 1/3 binary32) (*.f32 (/.f32 (+.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)) (*.f32 #s(literal -1/3 binary32) (pow.f32 (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 17 binary32)) #s(literal 1/9 binary32)))) v) (/.f32 (cbrt.f32 (/.f32 #s(literal 1 binary32) (exp.f32 #s(literal 6931/5000 binary32)))) v)))))
(cbrt.f32 (exp.f32 #s(literal 6931/10000 binary32)))
(+.f32 (cbrt.f32 (exp.f32 #s(literal 6931/10000 binary32))) (*.f32 #s(literal -1/3 binary32) (*.f32 (pow.f32 (*.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 7 binary32))) #s(literal 1/9 binary32)) (/.f32 #s(literal 1 binary32) v))))
(+.f32 (cbrt.f32 (exp.f32 #s(literal 6931/10000 binary32))) (*.f32 #s(literal -1/3 binary32) (*.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 7 binary32)) #s(literal 1/9 binary32)) (/.f32 #s(literal 1 binary32) v))))
(fma.f32 #s(literal -1/3 binary32) (*.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 7 binary32)) #s(literal 1/9 binary32)) (/.f32 #s(literal 1 binary32) v)) (cbrt.f32 (exp.f32 #s(literal 6931/10000 binary32))))
(+.f32 (cbrt.f32 (exp.f32 #s(literal 6931/10000 binary32))) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1/3 binary32) (*.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (*.f32 #s(literal 1/3 binary32) (pow.f32 (*.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 17 binary32))) #s(literal 1/9 binary32)))) v) (cbrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 2 binary32)))))) (*.f32 #s(literal 1/3 binary32) (pow.f32 (*.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 7 binary32))) #s(literal 1/9 binary32)))) v)))
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(fma.f32 #s(literal 1 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(fma.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))
(fma.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))
(fma.f32 (pow.f32 (cbrt.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)) #s(literal 2 binary32)) (cbrt.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)) #s(literal 6931/10000 binary32))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)) (sqrt.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)) #s(literal 6931/10000 binary32))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(-.f32 (exp.f32 (log1p.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))))) #s(literal 1 binary32))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(*.f32 #s(literal 1 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(*.f32 (cbrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))) (pow.f32 (cbrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))) #s(literal 2 binary32)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(*.f32 (pow.f32 (cbrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))) #s(literal 2 binary32)) (cbrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(*.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)) (exp.f32 #s(literal 6931/10000 binary32)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(*.f32 (sqrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))) (sqrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(*.f32 (pow.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))) #s(literal 2 binary32))) #s(literal 3 binary32)) (cbrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(*.f32 (pow.f32 (pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))) #s(literal 1/6 binary32)) #s(literal 3 binary32)) (pow.f32 (pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))) #s(literal 1/6 binary32)) #s(literal 3 binary32)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(sqrt.f32 (pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))) #s(literal 2 binary32)))
(sqrt.f32 (pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) #s(literal 2 binary32)))
(fabs.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(log.f32 (exp.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(cbrt.f32 (pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))) #s(literal 3 binary32)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(expm1.f32 (log1p.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(log1p.f32 (expm1.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(exp.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)) #s(literal 1 binary32)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))

eval528.0ms (2.9%)

Compiler

Compiled 21454 to 15233 computations (29% saved)

prune224.0ms (1.2%)

Pruning

18 alts after pruning (13 fresh and 5 done)

PrunedKeptTotal
New7319740
Fresh448
Picked235
Done022
Total73718755
Accuracy
99.9%
Counts
755 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.5%
(pow.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
99.7%
(pow.f32 (E.f32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) v) (*.f32 cosTheta_O cosTheta_i)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v)))
99.7%
(pow.f32 (E.f32) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal 1 binary32) v))))
99.7%
(/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (pow.f32 (exp.f32 (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32))))
99.7%
(/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (pow.f32 (E.f32) (/.f32 #s(literal 1 binary32) v)))
✓99.8%
(/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 #s(literal 1 binary32) v)))
✓6.3%
(-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
99.7%
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (pow.f32 (pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) #s(literal 1/6 binary32)) #s(literal 2 binary32)) #s(literal 3 binary32)))
99.8%
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (cbrt.f32 (pow.f32 (E.f32) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) #s(literal 3 binary32)))
✓99.8%
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (cbrt.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) #s(literal 3 binary32)))
99.8%
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
18.2%
(*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)))
6.3%
(*.f32 sinTheta_O (-.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) (/.f32 sinTheta_i v)))
40.4%
(*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
97.5%
(exp.f32 (/.f32 #s(literal -1 binary32) v))
97.1%
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (*.f32 cosTheta_i (+.f32 (/.f32 cosTheta_O v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i)))) (/.f32 #s(literal 1 binary32) v)))
✓99.7%
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))
✓6.5%
#s(literal 1 binary32)
Compiler

Compiled 927 to 651 computations (29.8% saved)

regimes93.0ms (0.5%)

Counts
42 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)))
(*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(*.f32 sinTheta_O (-.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) (/.f32 sinTheta_i v)))
(exp.f32 (/.f32 #s(literal -1 binary32) v))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)))
(exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v))))
(exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32))) v))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))
(/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (pow.f32 (E.f32) (/.f32 #s(literal 1 binary32) v)))
(pow.f32 (E.f32) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal 1 binary32) v))))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 #s(literal 1 binary32) v)))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (*.f32 cosTheta_i (+.f32 (/.f32 cosTheta_O v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i)))) (/.f32 #s(literal 1 binary32) v)))
(pow.f32 (E.f32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) #s(literal -1 binary32)) v))))
(*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)))) (exp.f32 #s(literal 6931/10000 binary32)))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 #s(literal 1 binary32)) (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))))
(pow.f32 (E.f32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) v) (*.f32 cosTheta_O cosTheta_i)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v)))
(exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (cbrt.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) #s(literal 3 binary32)))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (cbrt.f32 (pow.f32 (E.f32) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) #s(literal 3 binary32)))
(pow.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (cbrt.f32 (pow.f32 (E.f32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)))) #s(literal 3 binary32)))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))) #s(literal 1/3 binary32)) #s(literal 3 binary32)))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (cbrt.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)))) #s(literal 3 binary32)))
(exp.f32 (-.f32 (+.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 #s(literal 1/2 binary32))) (log.f32 v)))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (cbrt.f32 (pow.f32 (E.f32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) #s(literal -1 binary32)) v)))) #s(literal 3 binary32)))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (cbrt.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))) #s(literal 3 binary32)))
(pow.f32 (exp.f32 #s(literal 1 binary32)) (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))))
(pow.f32 (pow.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) v)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (pow.f32 (pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) #s(literal 1/6 binary32)) #s(literal 2 binary32)) #s(literal 3 binary32)))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (pow.f32 (pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))) #s(literal 1/6 binary32)) #s(literal 2 binary32)) #s(literal 3 binary32)))
(/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (pow.f32 (exp.f32 (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (pow.f32 (pow.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) #s(literal 1/6 binary32)) #s(literal 2 binary32)) #s(literal 3 binary32)))
Outputs
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (cbrt.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) #s(literal 3 binary32)))
Calls

9 calls:

13.0ms
sinTheta_i
12.0ms
sinTheta_O
12.0ms
cosTheta_O
12.0ms
(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))
11.0ms
v
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 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
99.8%1(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) 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)

regimes67.0ms (0.4%)

Counts
27 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)))
(*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(*.f32 sinTheta_O (-.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) (/.f32 sinTheta_i v)))
(exp.f32 (/.f32 #s(literal -1 binary32) v))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)))
(exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v))))
(exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32))) v))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))
(/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (pow.f32 (E.f32) (/.f32 #s(literal 1 binary32) v)))
(pow.f32 (E.f32) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal 1 binary32) v))))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 #s(literal 1 binary32) v)))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (*.f32 cosTheta_i (+.f32 (/.f32 cosTheta_O v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i)))) (/.f32 #s(literal 1 binary32) v)))
(pow.f32 (E.f32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) #s(literal -1 binary32)) v))))
(*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)))) (exp.f32 #s(literal 6931/10000 binary32)))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 #s(literal 1 binary32)) (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))))
(pow.f32 (E.f32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) v) (*.f32 cosTheta_O cosTheta_i)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v)))
(exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
Outputs
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
Calls

9 calls:

11.0ms
(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))
10.0ms
sinTheta_i
9.0ms
cosTheta_O
8.0ms
v
7.0ms
(*.f32 sinTheta_i sinTheta_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 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
99.8%1(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) 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)

regimes19.0ms (0.1%)

Counts
10 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)))
(*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(*.f32 sinTheta_O (-.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) (/.f32 sinTheta_i v)))
(exp.f32 (/.f32 #s(literal -1 binary32) v))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)))
(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 #s(literal -1 binary32) v))
Calls

5 calls:

4.0ms
v
4.0ms
cosTheta_O
3.0ms
sinTheta_O
3.0ms
cosTheta_i
3.0ms
sinTheta_i
Results
AccuracySegmentsBranch
97.5%1cosTheta_i
97.5%1cosTheta_O
97.5%1sinTheta_i
97.5%1sinTheta_O
97.5%1v
Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes13.0ms (0.1%)

Counts
5 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)))
(*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(*.f32 sinTheta_O (-.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) (/.f32 sinTheta_i v)))
Outputs
(*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
Calls

5 calls:

4.0ms
cosTheta_O
2.0ms
cosTheta_i
2.0ms
v
2.0ms
sinTheta_O
2.0ms
sinTheta_i
Results
AccuracySegmentsBranch
40.4%1cosTheta_i
40.4%1cosTheta_O
40.4%1sinTheta_i
40.4%1sinTheta_O
40.4%1v
Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes7.0ms (0%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)))
Outputs
(*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)))
Calls

5 calls:

1.0ms
cosTheta_i
1.0ms
sinTheta_i
1.0ms
sinTheta_O
1.0ms
v
1.0ms
cosTheta_O
Results
AccuracySegmentsBranch
18.2%1sinTheta_O
18.2%1v
18.2%1cosTheta_i
18.2%1cosTheta_O
18.2%1sinTheta_i
Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes10.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
Outputs
#s(literal 1 binary32)
Calls

5 calls:

6.0ms
sinTheta_O
1.0ms
sinTheta_i
1.0ms
cosTheta_O
1.0ms
cosTheta_i
1.0ms
v
Results
AccuracySegmentsBranch
6.5%1cosTheta_i
6.5%1cosTheta_O
6.5%1sinTheta_i
6.5%1sinTheta_O
6.5%1v
Compiler

Compiled 30 to 25 computations (16.7% saved)

simplify7.0ms (0%)

Algorithm
1×egg-herbie
Rules
28×*-commutative
20×sub-neg
20×neg-sub0
20×+-commutative
18×neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033147
151147
271147
394147
4110147
5115147
6116147
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (cbrt.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) #s(literal 3 binary32)))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(exp.f32 (/.f32 #s(literal -1 binary32) v))
(*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)))
#s(literal 1 binary32)
Outputs
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (cbrt.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) #s(literal 3 binary32)))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (cbrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) #s(literal 3 binary32)))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(exp.f32 (/.f32 #s(literal -1 binary32) v))
(*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)))
#s(literal 1 binary32)
Compiler

Compiled 70 to 59 computations (15.7% saved)

soundness1.8s (10.1%)

Rules
1638×fma-define
1590×exp-diff
1500×times-frac
1482×associate-*r*
1426×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01732130
14851898
214481854
357471854
0117877309441737
1303977309440134
0145551539651507
1408151539649513
0152877309470300
1431477309468268
042526
1741484
0107056988
1311353690
035465
1518432
27461432
Stop Event
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 931 to 558 computations (40.1% saved)

end0.0ms (0%)

preprocess82.0ms (0.5%)

Remove

(sort sinTheta_i sinTheta_O)

(sort cosTheta_i cosTheta_O)

Compiler

Compiled 654 to 558 computations (14.7% saved)

Profiling

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