HairBSDF, Mp, lower

Time bar (total: 16.7s)

analyze2.1s (12.3%)

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: 450.0ms
Operation ival-<=, time spent: 177.0ms, 39.0% of total-time
Operation ival-log, time spent: 63.0ms, 14.0% of total-time
Operation ival-mult, time spent: 57.0ms, 13.0% of total-time
Operation ival-div, time spent: 40.0ms, 9.0% of total-time
Operation ival-add, time spent: 32.0ms, 7.0% of total-time
Operation ival-sub, time spent: 22.0ms, 5.0% of total-time
Operation ival-and, time spent: 22.0ms, 5.0% of total-time
Operation ival-exp, time spent: 20.0ms, 4.0% of total-time
Operation const, time spent: 17.0ms, 4.0% of total-time

sample4.1s (24.6%)

Results
3.6s8255×256valid
44.0ms140×256invalid
0.0ms1×256valid
Precisions
Click to see histograms. Total time spent on operations: 1.7s
Operation ival-<=, time spent: 435.0ms, 26.0% of total-time
Operation ival-div, time spent: 304.0ms, 18.0% of total-time
Operation ival-mult, time spent: 241.0ms, 15.0% of total-time
Operation ival-log, time spent: 231.0ms, 14.0% of total-time
Operation ival-add, time spent: 111.0ms, 7.0% of total-time
Operation ival-sub, time spent: 103.0ms, 6.0% of total-time
Operation ival-and, time spent: 91.0ms, 5.0% of total-time
Operation ival-exp, time spent: 76.0ms, 5.0% of total-time
Operation const, time spent: 68.0ms, 4.0% of total-time
Bogosity

preprocess1.1s (6.4%)

Algorithm
1×egg-herbie
Rules
1590×exp-diff
1500×times-frac
914×fma-neg
660×fma-define
552×associate-+l-
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1042(6.751928118171879e-13 0.05978164076805115 -1.1077157189181127e-36 -6.055048219146378e-38 6.181329332556057e-29)33(-1.0831814042515315e-37 3.9514481389129176e-16 3.6893072077887775e-38 2.5676317818579264e-6 1.7065777622796288e-16)(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
962(-1.4764572714892717e-33 1.0525099762830586e-34 -2.260831938327712e-10 1.530531730787585e-30 1.3115995840657153e-23)30(-3.0931559526687014e-24 8.39439637237907e-22 -5.401042424355226e-33 1.525533731180996e-26 6.628748882765586e-26)(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
19(7.953409126959872e-35 3.304028514240415e-29 -3.8452155007176816e-14 -1.248827706957658e-30 0.007537947501987219)1(-1.397113348557984e-16 1.1911465662706178e-6 -8.874264656455466e-10 -1.49542345466349e-14 0.011823233217000961)(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 (-.f32 #s(literal 6931/10000 binary32) (*.f32 cosTheta_O (/.f32 cosTheta_i v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 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 (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 (-.f32 #s(literal 6931/10000 binary32) (*.f32 cosTheta_O (/.f32 cosTheta_i v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 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 (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: 153.0ms
Operation ival-div, time spent: 47.0ms, 31.0% of total-time
Operation ival-mult, time spent: 29.0ms, 19.0% of total-time
Operation ival-log, time spent: 28.0ms, 18.0% of total-time
Operation ival-sub, time spent: 20.0ms, 13.0% of total-time
Operation ival-add, time spent: 15.0ms, 10.0% of total-time
Operation ival-exp, time spent: 6.0ms, 4.0% of total-time
Operation const, time spent: 6.0ms, 4.0% 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))))
▶99.8%
(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)

localize494.0ms (3%)

Localize:

Found 8 expressions with local error:

NewAccuracyProgram
✓99.9%
(*.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)))
✓99.2%
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
✓99.9%
(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)))))
✓99.8%
(+.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 sinTheta_i (/.f32 sinTheta_O v))
✓99.2%
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
Compiler

Compiled 216 to 90 computations (58.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 142.0ms
Operation ival-div, time spent: 43.0ms, 30.0% of total-time
Operation composed, time spent: 22.0ms, 15.0% of total-time
Operation ival-add, time spent: 22.0ms, 15.0% of total-time
Operation ival-log, time spent: 18.0ms, 13.0% of total-time
Operation ival-mult, time spent: 17.0ms, 12.0% of total-time
Operation ival-sub, time spent: 9.0ms, 6.0% of total-time
Operation ival-exp, time spent: 6.0ms, 4.0% of total-time
Operation const, time spent: 5.0ms, 4.0% of total-time

series134.0ms (0.8%)

Counts
8 → 408
Calls
Call 1
Inputs
#<alt (*.f32 cosTheta_i (/.f32 cosTheta_O v))>
#<alt (*.f32 sinTheta_i (/.f32 sinTheta_O 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 (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 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 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 (/.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 #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 (+.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 (-.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 (-.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 (/.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 (/.f32 cosTheta_O v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i))) (+.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 (/.f32 cosTheta_O v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i))) (+.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 (/.f32 cosTheta_O v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i))) (+.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 (+.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))) 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 (+.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))) 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 (+.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))) cosTheta_i)))))>
#<alt (-.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 (+.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 (-.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 (-.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 (/.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 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O))) (+.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 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O))) (+.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 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O))) (+.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 (+.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))) 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 (+.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))) 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 (+.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))) cosTheta_O)))))>
#<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 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal -1 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 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal -1 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 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 v)))))) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v)>
#<alt (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 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 (log.f32 (/.f32 #s(literal 1 binary32) v)) (/.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 (log.f32 #s(literal 1/2 binary32)) (+.f32 (log.f32 (/.f32 #s(literal 1 binary32) v)) (/.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 (log.f32 #s(literal 1/2 binary32)) (+.f32 (log.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))>
#<alt (+.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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#<alt (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1/2 binary32)) (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (*.f32 cosTheta_O cosTheta_i))) (*.f32 #s(literal -1 binary32) (*.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 (+.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))>
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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))>
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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 #s(literal 1 binary32) v))) 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))>
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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))>
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#<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
12.0ms
cosTheta_i
@0
(+ (- (* cosTheta_i (/ cosTheta_O v)) (+ (* sinTheta_i (/ sinTheta_O v)) (/ 1 v))) (+ 6931/10000 (log (/ 1/2 v))))
7.0ms
v
@-inf
(+ (- (* cosTheta_i (/ cosTheta_O v)) (+ (* sinTheta_i (/ sinTheta_O v)) (/ 1 v))) (+ 6931/10000 (log (/ 1/2 v))))
4.0ms
sinTheta_O
@0
(+ (- (* cosTheta_i (/ cosTheta_O v)) (+ (* sinTheta_i (/ sinTheta_O v)) (/ 1 v))) (+ 6931/10000 (log (/ 1/2 v))))
3.0ms
sinTheta_O
@0
(* (/ 1/2 v) (exp (+ (- (* cosTheta_i (/ cosTheta_O v)) (+ (* sinTheta_i (/ sinTheta_O v)) (/ 1 v))) 6931/10000)))
3.0ms
v
@0
(+ (- (* cosTheta_i (/ cosTheta_O v)) (+ (* sinTheta_i (/ sinTheta_O v)) (/ 1 v))) (+ 6931/10000 (log (/ 1/2 v))))

rewrite389.0ms (2.3%)

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 cosTheta_i (/.f32 cosTheta_O v))
(*.f32 sinTheta_i (/.f32 sinTheta_O 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))))
(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 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 cosTheta_i (/.f32 cosTheta_O v)))) #s(literal 1 binary32))
(/.f32 cosTheta_i (/.f32 v cosTheta_O))
(/.f32 #s(literal 1 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (neg.f32 (*.f32 cosTheta_i cosTheta_O)) (neg.f32 v))
(/.f32 (*.f32 cosTheta_i (neg.f32 cosTheta_O)) (neg.f32 v))
(/.f32 (*.f32 (neg.f32 cosTheta_O) cosTheta_i) (neg.f32 v))
(/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v)
(/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (pow.f32 (cbrt.f32 v) #s(literal 2 binary32))) (cbrt.f32 v))
(/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (sqrt.f32 v)) (sqrt.f32 v))
(pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 (/.f32 cosTheta_O v)) cosTheta_i))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)))))
(cbrt.f32 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v))))
(log1p.f32 (expm1.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v))))
(exp.f32 (log.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v))))
(exp.f32 (*.f32 (log.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) #s(literal 1 binary32)))
(-.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 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (-.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 (-.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)))))
(-.f32 (exp.f32 (log1p.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 1 binary32))
(-.f32 (log.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))))) (log.f32 v))
(-.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 (/.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)))))) (/.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 2 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)))))))
(-.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))
(-.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)) (/.f32 #s(literal 1 binary32) v))
(-.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))) (log.f32 #s(literal 1/2 binary32))) (log.f32 v))
(*.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))))))
(*.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 1 binary32))
(*.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)))))) (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)))
(*.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)))))))
(*.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)))))))
(*.f32 (+.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 3 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 (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 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (-.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 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 2 binary32))) (/.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)))))))
(/.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 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v))))) (+.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 3 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 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))))) (-.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)) (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 2 binary32)))))
(/.f32 (+.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 3 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 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (-.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 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 3 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 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 2 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)) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))))
(/.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)) (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 2 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))))))
(/.f32 (+.f32 (*.f32 (-.f32 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(literal 3 binary32)) (pow.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal 3 binary32))) (+.f32 #s(literal 48038761/100000000 binary32) (*.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32))))) (*.f32 (+.f32 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(literal 2 binary32)) (*.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))))) (+.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32)) #s(literal 332956652491/1000000000000 binary32)))) (*.f32 (+.f32 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(literal 2 binary32)) (*.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) (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 48038761/100000000 binary32) (*.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32))))))
(/.f32 (+.f32 (*.f32 (-.f32 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(literal 3 binary32)) (pow.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal 3 binary32))) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) (*.f32 (+.f32 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(literal 2 binary32)) (*.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) (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 48038761/100000000 binary32) (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 2 binary32))))) (*.f32 (+.f32 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(literal 2 binary32)) (*.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) (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 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
(/.f32 (+.f32 (*.f32 (-.f32 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(literal 2 binary32)) (pow.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (+.f32 #s(literal 48038761/100000000 binary32) (*.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32))))) (*.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) (+.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32)) #s(literal 332956652491/1000000000000 binary32)))) (*.f32 (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 48038761/100000000 binary32) (*.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32))))))
(/.f32 (+.f32 (*.f32 (-.f32 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(literal 2 binary32)) (pow.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) (*.f32 (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 48038761/100000000 binary32) (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 2 binary32))))) (*.f32 (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 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
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(/.f32 (exp.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) (*.f32 v #s(literal 2 binary32)))
(/.f32 (pow.f32 (exp.f32 (/.f32 cosTheta_O v)) cosTheta_i) (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 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.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 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))))) (neg.f32 v))
(/.f32 (*.f32 (exp.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.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 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.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 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.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 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.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 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.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 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.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 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.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 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.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 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.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 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.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 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.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 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.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 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.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 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.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 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.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 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.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 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.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))))))

simplify417.0ms (2.5%)

Algorithm
1×egg-herbie
Rules
1482×associate-*r*
1292×fma-define
744×times-frac
710×distribute-rgt-in
692×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0107156980
1311453700
Stop Event
1×node limit
Counts
676 → 569
Calls
Call 1
Inputs
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(-.f32 (+.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 #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)))
(-.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)))
(-.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)))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_i)) (+.f32 (/.f32 cosTheta_O v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_i v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_i v)))))
(*.f32 cosTheta_i (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_i)) (+.f32 (/.f32 cosTheta_O v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_i v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_i v)))))
(*.f32 cosTheta_i (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_i)) (+.f32 (/.f32 cosTheta_O v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_i v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_i 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 #s(literal -1 binary32) (/.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))) cosTheta_i)))))
(*.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 (+.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))) cosTheta_i)))))
(*.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 (+.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))) cosTheta_i)))))
(-.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 #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)))
(-.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)))
(-.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)))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_O)) (+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_O v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_O v)))))
(*.f32 cosTheta_O (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_O)) (+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_O v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_O v)))))
(*.f32 cosTheta_O (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_O)) (+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_O v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_O 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 #s(literal -1 binary32) (/.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))) cosTheta_O)))))
(*.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 (+.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))) cosTheta_O)))))
(*.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 (+.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))) cosTheta_O)))))
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v)
(/.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 v)))))) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v)
(/.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 v)))))) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v)
(/.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 v)))))) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v)
(+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) v))))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (+.f32 (log.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (+.f32 (log.f32 (/.f32 #s(literal 1 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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(cbrt.f32 (*.f32 (pow.f32 (exp.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.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 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.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 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.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 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
(-.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 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))
(-.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)))
(+.f32 #s(literal 6931/10000 binary32) (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (*.f32 cosTheta_O (/.f32 cosTheta_i v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))))
(+.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
(-.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)))
(+.f32 #s(literal 6931/10000 binary32) (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (*.f32 cosTheta_O (/.f32 cosTheta_i v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))))
(+.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
(-.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)))
(+.f32 #s(literal 6931/10000 binary32) (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (*.f32 cosTheta_O (/.f32 cosTheta_i v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))))
(+.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(*.f32 cosTheta_i (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_i)) (+.f32 (/.f32 cosTheta_O v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_i v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_i v)))))
(*.f32 cosTheta_i (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_i) (-.f32 (+.f32 (/.f32 cosTheta_O v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_i v)) (*.f32 sinTheta_O (/.f32 sinTheta_i (*.f32 cosTheta_i v)))))))
(*.f32 cosTheta_i (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_i) (+.f32 (/.f32 cosTheta_O v) (-.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i) (fma.f32 sinTheta_O (/.f32 sinTheta_i (*.f32 cosTheta_i v)) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_i v)))))))
(*.f32 cosTheta_i (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_i)) (+.f32 (/.f32 cosTheta_O v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_i v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_i v)))))
(*.f32 cosTheta_i (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_i) (-.f32 (+.f32 (/.f32 cosTheta_O v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_i v)) (*.f32 sinTheta_O (/.f32 sinTheta_i (*.f32 cosTheta_i v)))))))
(*.f32 cosTheta_i (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_i) (+.f32 (/.f32 cosTheta_O v) (-.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i) (fma.f32 sinTheta_O (/.f32 sinTheta_i (*.f32 cosTheta_i v)) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_i v)))))))
(*.f32 cosTheta_i (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_i)) (+.f32 (/.f32 cosTheta_O v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_i v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_i v)))))
(*.f32 cosTheta_i (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_i) (-.f32 (+.f32 (/.f32 cosTheta_O v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_i v)) (*.f32 sinTheta_O (/.f32 sinTheta_i (*.f32 cosTheta_i v)))))))
(*.f32 cosTheta_i (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_i) (+.f32 (/.f32 cosTheta_O v) (-.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i) (fma.f32 sinTheta_O (/.f32 sinTheta_i (*.f32 cosTheta_i v)) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_i v)))))))
(/.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 #s(literal -1 binary32) (/.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))) cosTheta_i)))))
(neg.f32 (*.f32 cosTheta_i (*.f32 #s(literal -1 binary32) (+.f32 (/.f32 cosTheta_O v) (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) cosTheta_i)))))
(*.f32 cosTheta_i (neg.f32 (-.f32 (/.f32 cosTheta_O (neg.f32 v)) (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))) cosTheta_i))))
(*.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 (+.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))) cosTheta_i)))))
(neg.f32 (*.f32 cosTheta_i (*.f32 #s(literal -1 binary32) (+.f32 (/.f32 cosTheta_O v) (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) cosTheta_i)))))
(*.f32 cosTheta_i (neg.f32 (-.f32 (/.f32 cosTheta_O (neg.f32 v)) (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))) cosTheta_i))))
(*.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 (+.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))) cosTheta_i)))))
(neg.f32 (*.f32 cosTheta_i (*.f32 #s(literal -1 binary32) (+.f32 (/.f32 cosTheta_O v) (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) cosTheta_i)))))
(*.f32 cosTheta_i (neg.f32 (-.f32 (/.f32 cosTheta_O (neg.f32 v)) (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))) cosTheta_i))))
(-.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 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))
(-.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)))
(+.f32 #s(literal 6931/10000 binary32) (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (*.f32 cosTheta_O (/.f32 cosTheta_i v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))))
(+.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
(-.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)))
(+.f32 #s(literal 6931/10000 binary32) (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (*.f32 cosTheta_O (/.f32 cosTheta_i v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))))
(+.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
(-.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)))
(+.f32 #s(literal 6931/10000 binary32) (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (*.f32 cosTheta_O (/.f32 cosTheta_i v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) 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_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_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 (/.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 #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 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)))) (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 1/6 binary32) (*.f32 (pow.f32 cosTheta_O #s(literal 3 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 3 binary32)))) (*.f32 (*.f32 #s(literal 1/2 binary32) (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 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_O (/.f32 cosTheta_i v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O 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_O (/.f32 cosTheta_i v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O 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_O (/.f32 cosTheta_i v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O 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_O (/.f32 cosTheta_i v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O 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_O (/.f32 cosTheta_i v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O 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_O (/.f32 cosTheta_i v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O 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_O (/.f32 cosTheta_i v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O 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_O (/.f32 cosTheta_i v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O 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))))
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(+.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))))
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(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 #s(literal 1/2 binary32) (pow.f32 cosTheta_i #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)))))) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i 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))))
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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_O (/.f32 cosTheta_i 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_O (/.f32 cosTheta_i v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O 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_O (/.f32 cosTheta_i v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O 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_O (/.f32 cosTheta_i v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))))
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(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 #s(literal 1 binary32) v))))
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(-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))
(-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))
(-.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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(-.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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(-.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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(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
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(*.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)))))
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(*.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)))))
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(/.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 #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)))))
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(-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))
(-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))
(-.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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(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(*.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)))))
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(*.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)))))
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(/.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 #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)))))
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#s(literal 6931/10000 binary32)
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#s(literal 6931/10000 binary32)
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(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (*.f32 cosTheta_O (/.f32 cosTheta_i 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 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 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))))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (*.f32 cosTheta_O (/.f32 cosTheta_i 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 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O 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 #s(literal 6931/10000 binary32) (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (*.f32 cosTheta_O (/.f32 cosTheta_i 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 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O 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 #s(literal 6931/10000 binary32) (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (*.f32 cosTheta_O (/.f32 cosTheta_i 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 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O 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 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) v)) #s(literal 2 binary32)))
(sqrt.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))) #s(literal 2 binary32)))
(fabs.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O 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 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))) (/.f32 #s(literal 1/2 binary32) v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (*.f32 cosTheta_O (/.f32 cosTheta_i 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 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O 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 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) v)))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (*.f32 cosTheta_O (/.f32 cosTheta_i 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 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O 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 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) v)) #s(literal 3 binary32)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (*.f32 cosTheta_O (/.f32 cosTheta_i 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 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O 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 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) #s(literal 3 binary32))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (*.f32 cosTheta_O (/.f32 cosTheta_i 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 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O 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 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.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 #s(literal 6931/10000 binary32) (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (*.f32 cosTheta_O (/.f32 cosTheta_i 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 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O 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 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (*.f32 cosTheta_O (/.f32 cosTheta_i 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 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O 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 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (*.f32 cosTheta_O (/.f32 cosTheta_i 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 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O 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 #s(literal 6931/10000 binary32) (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (*.f32 cosTheta_O (/.f32 cosTheta_i 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 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))))

eval367.0ms (2.2%)

Compiler

Compiled 22875 to 12841 computations (43.9% saved)

prune128.0ms (0.8%)

Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New58810598
Fresh000
Picked202
Done000
Total59010600
Accuracy
99.9%
Counts
600 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(/.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v)) (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))))
99.8%
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (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) #s(literal 6931/10000 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))))
4.6%
(*.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 #s(literal 6931/10000 binary32))) (exp.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v))))
▶4.6%
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v))
▶98.2%
(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 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 #s(literal 1 binary32) v)))
▶13.2%
(exp.f32 (*.f32 (/.f32 sinTheta_O v) (neg.f32 sinTheta_i)))
13.2%
(exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
Compiler

Compiled 362 to 278 computations (23.2% saved)

localize772.0ms (4.6%)

Localize:

Found 13 expressions with local error:

NewAccuracyProgram
✓99.9%
(-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))
✓99.8%
(exp.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)))
✓98.8%
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)))
✓84.7%
(/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)
✓100.0%
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32))) v)
✓99.8%
(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 sinTheta_O v) (neg.f32 sinTheta_i)))
✓99.3%
(*.f32 (/.f32 sinTheta_O v) (neg.f32 sinTheta_i))
✓98.9%
(/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v)
✓99.9%
(+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))
✓99.8%
(+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
✓99.7%
(-.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))
✓73.5%
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
Compiler

Compiled 262 to 114 computations (56.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 304.0ms
Operation ival-log, time spent: 161.0ms, 53.0% of total-time
Operation ival-div, time spent: 55.0ms, 18.0% of total-time
Operation ival-exp, time spent: 36.0ms, 12.0% of total-time
Operation ival-add, time spent: 17.0ms, 6.0% of total-time
Operation ival-mult, time spent: 17.0ms, 6.0% of total-time
Operation ival-sub, time spent: 12.0ms, 4.0% of total-time
Operation const, time spent: 6.0ms, 2.0% of total-time
Operation ival-neg, time spent: 1.0ms, 0.0% of total-time

series74.0ms (0.4%)

Counts
13 → 462
Calls
Call 1
Inputs
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (-.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 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) 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 (exp.f32 #s(literal 6931/10000 binary32)) v)>
#<alt (*.f32 (/.f32 sinTheta_O v) (neg.f32 sinTheta_i))>
#<alt (exp.f32 (*.f32 (/.f32 sinTheta_O v) (neg.f32 sinTheta_i)))>
#<alt (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32))) v))>
#<alt (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32))) v)>
#<alt (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)>
#<alt (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)))>
#<alt (exp.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)))>
#<alt (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))>
Outputs
#<alt (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)>
#<alt (/.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 v)))))) #s(literal 1 binary32)) v)>
#<alt (/.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 v)))))) #s(literal 1 binary32)) v)>
#<alt (/.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 v)))))) #s(literal 1 binary32)) v)>
#<alt (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 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 (log.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))) (/.f32 #s(literal 1 binary32) v))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (+.f32 (log.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))) (/.f32 #s(literal 1 binary32) v))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (+.f32 (log.f32 (/.f32 #s(literal 1 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 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))))>
#<alt (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1/2 binary32)) (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (*.f32 cosTheta_O cosTheta_i))) v)))))>
#<alt (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1/2 binary32)) (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (*.f32 cosTheta_O cosTheta_i))) v)))))>
#<alt (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1/2 binary32)) (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (*.f32 cosTheta_O cosTheta_i))) 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 (*.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 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_O v))))>
#<alt (*.f32 cosTheta_O (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_O)) (+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_O v))))>
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#<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 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_O v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_O v))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 cosTheta_O (+.f32 (*.f32 #s(literal -1 binary32) (/.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 #s(literal -1 binary32) (*.f32 cosTheta_O (+.f32 (*.f32 #s(literal -1 binary32) (/.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 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.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 #s(literal 1 binary32) (*.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 #s(literal 1 binary32) (*.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 #s(literal 1 binary32) (*.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 #s(literal 1 binary32) (*.f32 cosTheta_i 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 #s(literal 1 binary32) (*.f32 cosTheta_i 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 #s(literal 1 binary32) (*.f32 cosTheta_i v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_i v))))))>
#<alt (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)>
#<alt (-.f32 (+.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 (*.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 (*.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 -1 binary32) (/.f32 sinTheta_i v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O v))) (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_O v))))>
#<alt (*.f32 sinTheta_O (-.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_i v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O v))) (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_O v))))>
#<alt (*.f32 sinTheta_O (-.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_i v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O v))) (/.f32 #s(literal 1 binary32) (*.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_O (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1 binary32) v)) sinTheta_O)) (/.f32 sinTheta_i v))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1 binary32) v)) sinTheta_O)) (/.f32 sinTheta_i v))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1 binary32) v)) sinTheta_O)) (/.f32 sinTheta_i v))))>
#<alt (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)>
#<alt (-.f32 (+.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 (*.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 (*.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 -1 binary32) (/.f32 sinTheta_O v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i v))) (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_i v))))>
#<alt (*.f32 sinTheta_i (-.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i v))) (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_i v))))>
#<alt (*.f32 sinTheta_i (-.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i v))) (/.f32 #s(literal 1 binary32) (*.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_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1 binary32) v)) sinTheta_i)) (/.f32 sinTheta_O v))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1 binary32) v)) sinTheta_i)) (/.f32 sinTheta_O v))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1 binary32) v)) sinTheta_i)) (/.f32 sinTheta_O v))))>
#<alt (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v)>
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#<alt (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O 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 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O 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 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_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))>
#<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))>
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#<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)>
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#<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 (*.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_O v)))))>
#<alt (*.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)))))>
#<alt (*.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)))))>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
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#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
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#<alt (*.f32 sinTheta_i (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i) sinTheta_O))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_i (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)) (*.f32 #s(literal -1 binary32) sinTheta_O))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_i (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)) (*.f32 #s(literal -1 binary32) sinTheta_O))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_i (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)) (*.f32 #s(literal -1 binary32) sinTheta_O))))>
#<alt (*.f32 cosTheta_O cosTheta_i)>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)) (*.f32 cosTheta_O cosTheta_i))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)) (*.f32 cosTheta_O cosTheta_i))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)) (*.f32 cosTheta_O cosTheta_i))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))>
#<alt (*.f32 sinTheta_O (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i))>
#<alt (*.f32 sinTheta_O (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i))>
#<alt (*.f32 sinTheta_O (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_O)) (*.f32 #s(literal -1 binary32) sinTheta_i))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_O)) (*.f32 #s(literal -1 binary32) sinTheta_i))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_O)) (*.f32 #s(literal -1 binary32) sinTheta_i))))>
Calls

132 calls:

TimeVariablePointExpression
13.0ms
v
@-inf
(exp (- (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v) (/ 1 v)))
2.0ms
v
@0
(* (/ sinTheta_O v) (neg sinTheta_i))
2.0ms
v
@inf
(/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)
1.0ms
cosTheta_O
@0
(exp (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v))
1.0ms
cosTheta_i
@0
(exp (- (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v) (/ 1 v)))

rewrite144.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
322×log1p-expm1-u
322×expm1-log1p-u
318×add-exp-log
317×add-log-exp
317×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
043467
1783439
Stop Event
1×node limit
Counts
13 → 354
Calls
Call 1
Inputs
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(-.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 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) 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 (exp.f32 #s(literal 6931/10000 binary32)) v)
(*.f32 (/.f32 sinTheta_O v) (neg.f32 sinTheta_i))
(exp.f32 (*.f32 (/.f32 sinTheta_O v) (neg.f32 sinTheta_i)))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32))) v))
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32))) v)
(/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)))
(exp.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)))
(-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))
Outputs
(-.f32 (exp.f32 (log1p.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)))) #s(literal 1 binary32))
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(*.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 #s(literal 1 binary32) v))
(*.f32 #s(literal 1 binary32) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(*.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))))
(*.f32 (sqrt.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v))) (sqrt.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v))))
(pow.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v))) #s(literal 2 binary32))
(pow.f32 (/.f32 v (*.f32 cosTheta_O cosTheta_i)) #s(literal -1 binary32))
(sqrt.f32 (pow.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 cosTheta_O) (/.f32 cosTheta_i v)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)))))
(cbrt.f32 (pow.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v))))
(log1p.f32 (expm1.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v))))
(exp.f32 (log.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v))))
(exp.f32 (*.f32 (log.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v))) #s(literal 1 binary32)))
(+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))
(+.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) (neg.f32 (/.f32 #s(literal 1 binary32) v)))
(+.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))) (fma.f32 (neg.f32 (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32)) (/.f32 #s(literal 1 binary32) v)))
(+.f32 (fma.f32 #s(literal 1 binary32) (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) (neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 1 binary32)))) (fma.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 1 binary32))))
(+.f32 (fma.f32 #s(literal 1 binary32) (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) (neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 v)) (cbrt.f32 (pow.f32 v #s(literal -2 binary32)))))) (fma.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 v))) (cbrt.f32 (pow.f32 v #s(literal -2 binary32))) (*.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 v)) (cbrt.f32 (pow.f32 v #s(literal -2 binary32))))))
(+.f32 (fma.f32 (cbrt.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) #s(literal 2 binary32))) (cbrt.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))) (neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 1 binary32)))) (fma.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 1 binary32))))
(+.f32 (fma.f32 (cbrt.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) #s(literal 2 binary32))) (cbrt.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))) (neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 v)) (cbrt.f32 (pow.f32 v #s(literal -2 binary32)))))) (fma.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 v))) (cbrt.f32 (pow.f32 v #s(literal -2 binary32))) (*.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 v)) (cbrt.f32 (pow.f32 v #s(literal -2 binary32))))))
(+.f32 (fma.f32 (sqrt.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))) (sqrt.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))) (neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 1 binary32)))) (fma.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 1 binary32))))
(+.f32 (fma.f32 (sqrt.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))) (sqrt.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))) (neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 v)) (cbrt.f32 (pow.f32 v #s(literal -2 binary32)))))) (fma.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 v))) (cbrt.f32 (pow.f32 v #s(literal -2 binary32))) (*.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 v)) (cbrt.f32 (pow.f32 v #s(literal -2 binary32))))))
(*.f32 #s(literal 1 binary32) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))
(*.f32 (cbrt.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32))) (cbrt.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))))
(*.f32 (sqrt.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))) (sqrt.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (-.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) #s(literal 3 binary32)) (pow.f32 v #s(literal -3 binary32))) (+.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) #s(literal 2 binary32)) (+.f32 (pow.f32 v #s(literal -2 binary32)) (*.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (-.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) #s(literal 2 binary32)) (pow.f32 v #s(literal -2 binary32))) (+.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) (/.f32 #s(literal 1 binary32) v)))
(/.f32 (-.f32 (*.f32 (+.f32 #s(literal 332956652491/1000000000000 binary32) (pow.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 3 binary32))) v) (*.f32 (+.f32 #s(literal 48038761/100000000 binary32) (-.f32 (pow.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 2 binary32)) (*.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))) #s(literal 1 binary32))) (*.f32 (+.f32 #s(literal 48038761/100000000 binary32) (-.f32 (pow.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 2 binary32)) (*.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))) v))
(/.f32 (-.f32 (*.f32 (+.f32 #s(literal 332956652491/1000000000000 binary32) (pow.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 3 binary32))) (/.f32 v #s(literal 1 binary32))) (*.f32 (+.f32 #s(literal 48038761/100000000 binary32) (-.f32 (pow.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 2 binary32)) (*.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))) #s(literal 1 binary32))) (*.f32 (+.f32 #s(literal 48038761/100000000 binary32) (-.f32 (pow.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 2 binary32)) (*.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))) (/.f32 v #s(literal 1 binary32))))
(/.f32 (-.f32 (*.f32 (+.f32 #s(literal 332956652491/1000000000000 binary32) (pow.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 3 binary32))) (neg.f32 v)) (*.f32 (+.f32 #s(literal 48038761/100000000 binary32) (-.f32 (pow.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 2 binary32)) (*.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))) #s(literal -1 binary32))) (*.f32 (+.f32 #s(literal 48038761/100000000 binary32) (-.f32 (pow.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 2 binary32)) (*.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))) (neg.f32 v)))
(/.f32 (-.f32 (*.f32 (-.f32 #s(literal 48038761/100000000 binary32) (pow.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 2 binary32))) v) (*.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) #s(literal 1 binary32))) (*.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) v))
(/.f32 (-.f32 (*.f32 (-.f32 #s(literal 48038761/100000000 binary32) (pow.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 2 binary32))) (/.f32 v #s(literal 1 binary32))) (*.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) #s(literal 1 binary32))) (*.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) (/.f32 v #s(literal 1 binary32))))
(/.f32 (-.f32 (*.f32 (-.f32 #s(literal 48038761/100000000 binary32) (pow.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 2 binary32))) (neg.f32 v)) (*.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) #s(literal -1 binary32))) (*.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) (neg.f32 v)))
(/.f32 (neg.f32 (-.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) #s(literal 3 binary32)) (pow.f32 v #s(literal -3 binary32)))) (neg.f32 (+.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) #s(literal 2 binary32)) (+.f32 (pow.f32 v #s(literal -2 binary32)) (*.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) (/.f32 #s(literal 1 binary32) v))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) #s(literal 2 binary32)) (pow.f32 v #s(literal -2 binary32)))) (neg.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) (/.f32 #s(literal 1 binary32) v))))
(pow.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #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_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)))
(log.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))))
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(*.f32 (sqrt.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) sinTheta_i)) (sqrt.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) sinTheta_i)))
(/.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) sinTheta_i))
(pow.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) sinTheta_i) #s(literal 1 binary32))
(pow.f32 (exp.f32 (/.f32 sinTheta_O v)) sinTheta_i)
(pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (*.f32 sinTheta_i #s(literal 1 binary32)))
(pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v))
(pow.f32 (cbrt.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) sinTheta_i)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) sinTheta_i) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) sinTheta_i)) #s(literal 2 binary32))
(pow.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) #s(literal -1 binary32)) sinTheta_i)
(pow.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (pow.f32 (cbrt.f32 sinTheta_i) #s(literal 2 binary32))) (cbrt.f32 sinTheta_i))
(pow.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (sqrt.f32 sinTheta_i)) (sqrt.f32 sinTheta_i))
(pow.f32 (exp.f32 #s(literal 1 binary32)) (*.f32 (/.f32 sinTheta_O v) sinTheta_i))
(pow.f32 (exp.f32 (cbrt.f32 (pow.f32 (*.f32 (/.f32 sinTheta_O v) sinTheta_i) #s(literal 2 binary32)))) (cbrt.f32 (*.f32 (/.f32 sinTheta_O v) sinTheta_i)))
(pow.f32 (exp.f32 (sqrt.f32 (*.f32 (/.f32 sinTheta_O v) sinTheta_i))) (sqrt.f32 (*.f32 (/.f32 sinTheta_O v) sinTheta_i)))
(sqrt.f32 (pow.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) sinTheta_i) #s(literal 2 binary32)))
(log.f32 (exp.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) sinTheta_i)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) sinTheta_i))))
(cbrt.f32 (pow.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) sinTheta_i) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) sinTheta_i)))
(log1p.f32 (expm1.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) sinTheta_i)))
(-.f32 (exp.f32 (log1p.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) v)))) #s(literal 1 binary32))
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(*.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v))))
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(/.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 (pow.f32 (exp.f32 cosTheta_O) (/.f32 cosTheta_i v)) (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
(/.f32 (neg.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v))) (neg.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v))))
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(pow.f32 (pow.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) v)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
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(-.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v) (/.f32 #s(literal 1 binary32) v))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) v))) #s(literal 1 binary32))
(-.f32 (/.f32 (*.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v) (pow.f32 v #s(literal 2 binary32))) (/.f32 (*.f32 v #s(literal 1 binary32)) (pow.f32 v #s(literal 2 binary32))))
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(*.f32 #s(literal 1 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) v))
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(*.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) v)) (sqrt.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) v)))
(pow.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) v) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) v)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (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 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) v)) #s(literal 2 binary32))
(pow.f32 (/.f32 v (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))))) #s(literal -1 binary32))
(sqrt.f32 (pow.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) v) #s(literal 2 binary32)))
(log.f32 (exp.f32 (/.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 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) v))))
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(expm1.f32 (log1p.f32 (/.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 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) v)))
(exp.f32 (log.f32 (/.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 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) v)) #s(literal 1 binary32)))
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(fma.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 #s(literal 1 binary32) v) (neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
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(*.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) (/.f32 #s(literal 1 binary32) v))
(*.f32 (pow.f32 (cbrt.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v)) #s(literal 2 binary32)) (cbrt.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v)))
(*.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v)) (sqrt.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v)))
(pow.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v)) #s(literal 2 binary32))
(pow.f32 (/.f32 v (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i))) #s(literal -1 binary32))
(sqrt.f32 (pow.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v) #s(literal 2 binary32)))
(log.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v))))
(cbrt.f32 (pow.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v)))
(log1p.f32 (expm1.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v)))
(exp.f32 (log.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v)))
(exp.f32 (*.f32 (log.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v)) #s(literal 1 binary32)))
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) (*.f32 (/.f32 sinTheta_O v) sinTheta_i))
(fma.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 #s(literal 1 binary32) v) (*.f32 (/.f32 sinTheta_O v) sinTheta_i))
(fma.f32 #s(literal 1 binary32) (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (*.f32 (/.f32 sinTheta_O v) sinTheta_i))
(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))) (*.f32 (/.f32 sinTheta_O v) sinTheta_i))
(fma.f32 (sqrt.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v))) (sqrt.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v))) (*.f32 (/.f32 sinTheta_O v) sinTheta_i))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))))) #s(literal 1 binary32))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) v)
(/.f32 (neg.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32)))) (neg.f32 v))
(pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 (exp.f32 #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1/2 binary32) v)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))))))
(cbrt.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 #s(literal 1/2 binary32) v) #s(literal 3 binary32)) (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (exp.f32 #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 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)))))
(log1p.f32 (expm1.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)))))
(exp.f32 (+.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))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) v)))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) v)))
(*.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 (cbrt.f32 (pow.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) v)) #s(literal 2 binary32))) (cbrt.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) v))))
(*.f32 (sqrt.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) v))) (sqrt.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) v))))
(/.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 (pow.f32 (exp.f32 cosTheta_O) (/.f32 cosTheta_i v)) (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
(/.f32 (neg.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v))) (neg.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v))))
(pow.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) v)) #s(literal 1 binary32))
(pow.f32 (exp.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))
(pow.f32 (cbrt.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) v))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) v)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) v))) #s(literal 2 binary32))
(pow.f32 (exp.f32 #s(literal 1 binary32)) (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) v))
(pow.f32 (exp.f32 (cbrt.f32 (pow.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) v) #s(literal 2 binary32)))) (cbrt.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) v)))
(pow.f32 (exp.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) v))) (sqrt.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) v)))
(sqrt.f32 (pow.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) v)) #s(literal 2 binary32)))
(log.f32 (exp.f32 (exp.f32 (/.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 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) v)))))
(cbrt.f32 (pow.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) v)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) v))))
(log1p.f32 (expm1.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) v))))
(+.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))
(+.f32 (*.f32 cosTheta_O cosTheta_i) (neg.f32 (*.f32 sinTheta_O sinTheta_i)))
(+.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) (fma.f32 (neg.f32 sinTheta_O) sinTheta_i (*.f32 sinTheta_O sinTheta_i)))
(+.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) (fma.f32 sinTheta_i sinTheta_O (*.f32 sinTheta_O sinTheta_i)))
(+.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) (fma.f32 (neg.f32 (sqrt.f32 (*.f32 sinTheta_O sinTheta_i))) (sqrt.f32 (*.f32 sinTheta_O sinTheta_i)) (*.f32 sinTheta_O sinTheta_i)))
(+.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32)))) (fma.f32 (neg.f32 (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32))))
(+.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (*.f32 (cbrt.f32 (*.f32 sinTheta_O sinTheta_i)) (pow.f32 (cbrt.f32 (*.f32 sinTheta_O sinTheta_i)) #s(literal 2 binary32))))) (fma.f32 (neg.f32 (cbrt.f32 (*.f32 sinTheta_O sinTheta_i))) (pow.f32 (cbrt.f32 (*.f32 sinTheta_O sinTheta_i)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (*.f32 sinTheta_O sinTheta_i)) (pow.f32 (cbrt.f32 (*.f32 sinTheta_O sinTheta_i)) #s(literal 2 binary32)))))
(+.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32)))) (fma.f32 (neg.f32 (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32))))
(+.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (*.f32 (cbrt.f32 (*.f32 sinTheta_O sinTheta_i)) (pow.f32 (cbrt.f32 (*.f32 sinTheta_O sinTheta_i)) #s(literal 2 binary32))))) (fma.f32 (neg.f32 (cbrt.f32 (*.f32 sinTheta_O sinTheta_i))) (pow.f32 (cbrt.f32 (*.f32 sinTheta_O sinTheta_i)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (*.f32 sinTheta_O sinTheta_i)) (pow.f32 (cbrt.f32 (*.f32 sinTheta_O sinTheta_i)) #s(literal 2 binary32)))))
(+.f32 (fma.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i) (neg.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32)))) (fma.f32 (neg.f32 (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32))))
(+.f32 (fma.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i) (neg.f32 (*.f32 (cbrt.f32 (*.f32 sinTheta_O sinTheta_i)) (pow.f32 (cbrt.f32 (*.f32 sinTheta_O sinTheta_i)) #s(literal 2 binary32))))) (fma.f32 (neg.f32 (cbrt.f32 (*.f32 sinTheta_O sinTheta_i))) (pow.f32 (cbrt.f32 (*.f32 sinTheta_O sinTheta_i)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (*.f32 sinTheta_O sinTheta_i)) (pow.f32 (cbrt.f32 (*.f32 sinTheta_O sinTheta_i)) #s(literal 2 binary32)))))
(+.f32 (fma.f32 (pow.f32 (cbrt.f32 (*.f32 cosTheta_O cosTheta_i)) #s(literal 2 binary32)) (cbrt.f32 (*.f32 cosTheta_O cosTheta_i)) (neg.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32)))) (fma.f32 (neg.f32 (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32))))
(+.f32 (fma.f32 (pow.f32 (cbrt.f32 (*.f32 cosTheta_O cosTheta_i)) #s(literal 2 binary32)) (cbrt.f32 (*.f32 cosTheta_O cosTheta_i)) (neg.f32 (*.f32 (cbrt.f32 (*.f32 sinTheta_O sinTheta_i)) (pow.f32 (cbrt.f32 (*.f32 sinTheta_O sinTheta_i)) #s(literal 2 binary32))))) (fma.f32 (neg.f32 (cbrt.f32 (*.f32 sinTheta_O sinTheta_i))) (pow.f32 (cbrt.f32 (*.f32 sinTheta_O sinTheta_i)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (*.f32 sinTheta_O sinTheta_i)) (pow.f32 (cbrt.f32 (*.f32 sinTheta_O sinTheta_i)) #s(literal 2 binary32)))))
(+.f32 (fma.f32 (sqrt.f32 (*.f32 cosTheta_O cosTheta_i)) (sqrt.f32 (*.f32 cosTheta_O cosTheta_i)) (neg.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32)))) (fma.f32 (neg.f32 (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32))))
(+.f32 (fma.f32 (sqrt.f32 (*.f32 cosTheta_O cosTheta_i)) (sqrt.f32 (*.f32 cosTheta_O cosTheta_i)) (neg.f32 (*.f32 (cbrt.f32 (*.f32 sinTheta_O sinTheta_i)) (pow.f32 (cbrt.f32 (*.f32 sinTheta_O sinTheta_i)) #s(literal 2 binary32))))) (fma.f32 (neg.f32 (cbrt.f32 (*.f32 sinTheta_O sinTheta_i))) (pow.f32 (cbrt.f32 (*.f32 sinTheta_O sinTheta_i)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (*.f32 sinTheta_O sinTheta_i)) (pow.f32 (cbrt.f32 (*.f32 sinTheta_O sinTheta_i)) #s(literal 2 binary32)))))
(*.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)))
(*.f32 (cbrt.f32 (pow.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) #s(literal 2 binary32))) (cbrt.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i))))
(*.f32 (sqrt.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i))) (sqrt.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i))))
(/.f32 (-.f32 (pow.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 3 binary32)) (pow.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 2 binary32)) (+.f32 (pow.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 2 binary32)) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)))))
(/.f32 (-.f32 (pow.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 2 binary32)) (pow.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 2 binary32))) (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)))
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 3 binary32)) (pow.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 3 binary32)))) (neg.f32 (+.f32 (pow.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 2 binary32)) (+.f32 (pow.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 2 binary32)) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 2 binary32)) (pow.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 2 binary32)))) (neg.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i))))
(pow.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) #s(literal 2 binary32)))
(log.f32 (exp.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)))))
(cbrt.f32 (pow.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i))))
(log1p.f32 (expm1.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i))))
(exp.f32 (log.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i))))
(exp.f32 (*.f32 (log.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i))) #s(literal 1 binary32)))
(fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i))
(fma.f32 cosTheta_O cosTheta_i (neg.f32 (*.f32 sinTheta_O sinTheta_i)))
(fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O sinTheta_i))
(fma.f32 cosTheta_i cosTheta_O (neg.f32 (*.f32 sinTheta_O sinTheta_i)))
(fma.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))
(fma.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i) (neg.f32 (*.f32 sinTheta_O sinTheta_i)))
(fma.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) (fma.f32 (neg.f32 sinTheta_O) sinTheta_i (*.f32 sinTheta_O sinTheta_i)))
(fma.f32 (cbrt.f32 (pow.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) #s(literal 2 binary32))) (cbrt.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i))) (fma.f32 (neg.f32 sinTheta_O) sinTheta_i (*.f32 sinTheta_O sinTheta_i)))
(fma.f32 (pow.f32 (cbrt.f32 (*.f32 cosTheta_O cosTheta_i)) #s(literal 2 binary32)) (cbrt.f32 (*.f32 cosTheta_O cosTheta_i)) (*.f32 sinTheta_O sinTheta_i))
(fma.f32 (pow.f32 (cbrt.f32 (*.f32 cosTheta_O cosTheta_i)) #s(literal 2 binary32)) (cbrt.f32 (*.f32 cosTheta_O cosTheta_i)) (neg.f32 (*.f32 sinTheta_O sinTheta_i)))
(fma.f32 (sqrt.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i))) (sqrt.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i))) (fma.f32 (neg.f32 sinTheta_O) sinTheta_i (*.f32 sinTheta_O sinTheta_i)))
(fma.f32 (sqrt.f32 (*.f32 cosTheta_O cosTheta_i)) (sqrt.f32 (*.f32 cosTheta_O cosTheta_i)) (*.f32 sinTheta_O sinTheta_i))
(fma.f32 (sqrt.f32 (*.f32 cosTheta_O cosTheta_i)) (sqrt.f32 (*.f32 cosTheta_O cosTheta_i)) (neg.f32 (*.f32 sinTheta_O sinTheta_i)))

simplify380.0ms (2.3%)

Algorithm
1×egg-herbie
Rules
1342×fma-define
1110×times-frac
684×distribute-rgt-in
668×distribute-lft-in
590×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0122943008
1334941426
Stop Event
1×node limit
Counts
816 → 723
Calls
Call 1
Inputs
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)
(/.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 v)))))) #s(literal 1 binary32)) v)
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(+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) v))))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (+.f32 (log.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))) (/.f32 #s(literal 1 binary32) v))
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(-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (+.f32 (log.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))) (/.f32 #s(literal 1 binary32) v))
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(-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))
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(-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))
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(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
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(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v (+.f32 (log.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 v))))) v)
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(+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) v)))
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(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
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(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
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#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
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(+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_i v)) (*.f32 sinTheta_O (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 sinTheta_O (pow.f32 sinTheta_i #s(literal 3 binary32))) (pow.f32 v #s(literal 3 binary32)))) (*.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 sinTheta_i #s(literal 2 binary32)) (pow.f32 v #s(literal 2 binary32)))))))))
(exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(+.f32 #s(literal 1 binary32) (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 2 binary32)) (pow.f32 sinTheta_i #s(literal 2 binary32))) (pow.f32 v #s(literal 2 binary32))))))
(+.f32 #s(literal 1 binary32) (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) (pow.f32 sinTheta_i #s(literal 3 binary32))) (pow.f32 v #s(literal 3 binary32)))) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 2 binary32)) (pow.f32 sinTheta_i #s(literal 2 binary32))) (pow.f32 v #s(literal 2 binary32)))))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 2 binary32)) (pow.f32 sinTheta_i #s(literal 2 binary32))) v)) (*.f32 sinTheta_O sinTheta_i)) v)))
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) (pow.f32 sinTheta_i #s(literal 3 binary32))) v)) (*.f32 #s(literal 1/2 binary32) (*.f32 (pow.f32 sinTheta_O #s(literal 2 binary32)) (pow.f32 sinTheta_i #s(literal 2 binary32))))) v)) (*.f32 sinTheta_O sinTheta_i)) v)))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v)) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 2 binary32)) sinTheta_i) (pow.f32 v #s(literal 2 binary32)))))))
(+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v)) (*.f32 sinTheta_i (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) sinTheta_i) (pow.f32 v #s(literal 3 binary32)))) (*.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 sinTheta_O #s(literal 2 binary32)) (pow.f32 v #s(literal 2 binary32)))))))))
(exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.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)))
(+.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))))) v))
(+.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.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 -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))))) (pow.f32 v #s(literal 2 binary32)))) (/.f32 (*.f32 cosTheta_i (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)))) v))))
(+.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.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 -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.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 -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)))) (pow.f32 v #s(literal 2 binary32)))))) (/.f32 (*.f32 cosTheta_i (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)))) 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 (-.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)))
(+.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))))) v))
(+.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.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 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))))) (pow.f32 v #s(literal 2 binary32)))) (/.f32 (*.f32 cosTheta_O (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)))) v))))
(+.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.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 -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.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 -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)))) (pow.f32 v #s(literal 2 binary32)))))) (/.f32 (*.f32 cosTheta_O (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)))) 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 (-.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))
(+.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)))) v)))
(+.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)) (*.f32 sinTheta_O (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_i (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))) v)) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 sinTheta_O (*.f32 (pow.f32 sinTheta_i #s(literal 2 binary32)) (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)))) (pow.f32 v #s(literal 2 binary32)))))))
(+.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)) (*.f32 sinTheta_O (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_i (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))) v)) (*.f32 sinTheta_O (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 sinTheta_O (*.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)))) (pow.f32 v #s(literal 3 binary32)))) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (pow.f32 sinTheta_i #s(literal 2 binary32)) (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))) (pow.f32 v #s(literal 2 binary32)))))))))
(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 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))
(+.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)))) v)))
(+.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)) (*.f32 sinTheta_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))) v)) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 2 binary32)) (*.f32 sinTheta_i (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)))) (pow.f32 v #s(literal 2 binary32)))))))
(+.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)) (*.f32 sinTheta_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))) v)) (*.f32 sinTheta_i (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) (*.f32 sinTheta_i (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)))) (pow.f32 v #s(literal 3 binary32)))) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 2 binary32)) (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))) (pow.f32 v #s(literal 2 binary32)))))))))
(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 (-.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))
#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)))
(-.f32 (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) #s(literal 2 binary32)) (pow.f32 v #s(literal 2 binary32)))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(-.f32 (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 #s(literal 1/6 binary32) (/.f32 (pow.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) #s(literal 3 binary32)) (pow.f32 v #s(literal 3 binary32)))) (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) #s(literal 2 binary32)) (pow.f32 v #s(literal 2 binary32)))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
#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)))
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1 binary32) (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))) (*.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) #s(literal 2 binary32)) v))) v)))
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1 binary32) (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal 1/6 binary32) (/.f32 (pow.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) #s(literal 3 binary32)) v)) (*.f32 #s(literal 1/2 binary32) (pow.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) #s(literal 2 binary32)))) v))) v)))
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(exp.f32 (-.f32 (/.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 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (/.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 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (/.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 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (/.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 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(+.f32 (exp.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (exp.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))) v))
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(exp.f32 (-.f32 (/.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 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (/.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 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (/.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 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (/.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 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1 binary32) v)))
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(exp.f32 (-.f32 (/.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 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (/.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 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (/.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 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (/.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 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1 binary32) v)))
(+.f32 (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1 binary32) v))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1 binary32) v))))) v)))
(+.f32 (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1 binary32) v))) (*.f32 sinTheta_O (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_i (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1 binary32) v)))) v)) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 sinTheta_O (*.f32 (pow.f32 sinTheta_i #s(literal 2 binary32)) (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1 binary32) v))))) (pow.f32 v #s(literal 2 binary32)))))))
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(exp.f32 (-.f32 (/.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 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (/.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 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (/.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 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (/.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 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (/.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 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (/.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 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
#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)))
(-.f32 (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) #s(literal 2 binary32)) (pow.f32 v #s(literal 2 binary32)))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(-.f32 (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 #s(literal 1/6 binary32) (/.f32 (pow.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) #s(literal 3 binary32)) (pow.f32 v #s(literal 3 binary32)))) (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) #s(literal 2 binary32)) (pow.f32 v #s(literal 2 binary32)))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
#s(literal 1 binary32)
(+.f32 #s(literal 1 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 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 #s(literal -1 binary32) (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))) (*.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)))) #s(literal 2 binary32)) v)))) v)))
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 #s(literal -1 binary32) (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)))) #s(literal 3 binary32)) v)) (*.f32 #s(literal 1/2 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)))) #s(literal 2 binary32)))) v)))) v)))
(*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))
(-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))
(-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))
(-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))
(*.f32 cosTheta_O cosTheta_i)
(*.f32 cosTheta_i (+.f32 cosTheta_O (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i))))
(*.f32 cosTheta_i (+.f32 cosTheta_O (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i))))
(*.f32 cosTheta_i (+.f32 cosTheta_O (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i))))
(*.f32 cosTheta_O cosTheta_i)
(*.f32 #s(literal -1 binary32) (*.f32 cosTheta_i (+.f32 (*.f32 #s(literal -1 binary32) cosTheta_O) (/.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i))))
(*.f32 #s(literal -1 binary32) (*.f32 cosTheta_i (+.f32 (*.f32 #s(literal -1 binary32) cosTheta_O) (/.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i))))
(*.f32 #s(literal -1 binary32) (*.f32 cosTheta_i (+.f32 (*.f32 #s(literal -1 binary32) cosTheta_O) (/.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i))))
(*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))
(-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))
(-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))
(-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))
(*.f32 cosTheta_O cosTheta_i)
(*.f32 cosTheta_O (+.f32 cosTheta_i (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_O))))
(*.f32 cosTheta_O (+.f32 cosTheta_i (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_O))))
(*.f32 cosTheta_O (+.f32 cosTheta_i (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_O))))
(*.f32 cosTheta_O cosTheta_i)
(*.f32 #s(literal -1 binary32) (*.f32 cosTheta_O (+.f32 (*.f32 #s(literal -1 binary32) cosTheta_i) (/.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_O))))
(*.f32 #s(literal -1 binary32) (*.f32 cosTheta_O (+.f32 (*.f32 #s(literal -1 binary32) cosTheta_i) (/.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_O))))
(*.f32 #s(literal -1 binary32) (*.f32 cosTheta_O (+.f32 (*.f32 #s(literal -1 binary32) cosTheta_i) (/.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_O))))
(*.f32 cosTheta_O cosTheta_i)
(+.f32 (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)) (*.f32 cosTheta_O cosTheta_i))
(+.f32 (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)) (*.f32 cosTheta_O cosTheta_i))
(+.f32 (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)) (*.f32 cosTheta_O cosTheta_i))
(*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))
(*.f32 sinTheta_i (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i) sinTheta_O))
(*.f32 sinTheta_i (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i) sinTheta_O))
(*.f32 sinTheta_i (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i) sinTheta_O))
(*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))
(*.f32 #s(literal -1 binary32) (*.f32 sinTheta_i (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)) (*.f32 #s(literal -1 binary32) sinTheta_O))))
(*.f32 #s(literal -1 binary32) (*.f32 sinTheta_i (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)) (*.f32 #s(literal -1 binary32) sinTheta_O))))
(*.f32 #s(literal -1 binary32) (*.f32 sinTheta_i (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)) (*.f32 #s(literal -1 binary32) sinTheta_O))))
(*.f32 cosTheta_O cosTheta_i)
(+.f32 (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)) (*.f32 cosTheta_O cosTheta_i))
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(/.f32 (neg.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32)))) (neg.f32 v))
(pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 (exp.f32 #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1/2 binary32) v)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))))))
(cbrt.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 #s(literal 1/2 binary32) v) #s(literal 3 binary32)) (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (exp.f32 #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 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)))))
(log1p.f32 (expm1.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)))))
(exp.f32 (+.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))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) v)))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) v)))
(*.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 (cbrt.f32 (pow.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) v)) #s(literal 2 binary32))) (cbrt.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) v))))
(*.f32 (sqrt.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) v))) (sqrt.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) v))))
(/.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 (pow.f32 (exp.f32 cosTheta_O) (/.f32 cosTheta_i v)) (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
(/.f32 (neg.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v))) (neg.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v))))
(pow.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) v)) #s(literal 1 binary32))
(pow.f32 (exp.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))
(pow.f32 (cbrt.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) v))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) v)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) v))) #s(literal 2 binary32))
(pow.f32 (exp.f32 #s(literal 1 binary32)) (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) v))
(pow.f32 (exp.f32 (cbrt.f32 (pow.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) v) #s(literal 2 binary32)))) (cbrt.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) v)))
(pow.f32 (exp.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) v))) (sqrt.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) v)))
(sqrt.f32 (pow.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) v)) #s(literal 2 binary32)))
(log.f32 (exp.f32 (exp.f32 (/.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 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) v)))))
(cbrt.f32 (pow.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) v)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) v))))
(log1p.f32 (expm1.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) v))))
(+.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))
(+.f32 (*.f32 cosTheta_O cosTheta_i) (neg.f32 (*.f32 sinTheta_O sinTheta_i)))
(+.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) (fma.f32 (neg.f32 sinTheta_O) sinTheta_i (*.f32 sinTheta_O sinTheta_i)))
(+.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) (fma.f32 sinTheta_i sinTheta_O (*.f32 sinTheta_O sinTheta_i)))
(+.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) (fma.f32 (neg.f32 (sqrt.f32 (*.f32 sinTheta_O sinTheta_i))) (sqrt.f32 (*.f32 sinTheta_O sinTheta_i)) (*.f32 sinTheta_O sinTheta_i)))
(+.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32)))) (fma.f32 (neg.f32 (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32))))
(+.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (*.f32 (cbrt.f32 (*.f32 sinTheta_O sinTheta_i)) (pow.f32 (cbrt.f32 (*.f32 sinTheta_O sinTheta_i)) #s(literal 2 binary32))))) (fma.f32 (neg.f32 (cbrt.f32 (*.f32 sinTheta_O sinTheta_i))) (pow.f32 (cbrt.f32 (*.f32 sinTheta_O sinTheta_i)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (*.f32 sinTheta_O sinTheta_i)) (pow.f32 (cbrt.f32 (*.f32 sinTheta_O sinTheta_i)) #s(literal 2 binary32)))))
(+.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32)))) (fma.f32 (neg.f32 (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32))))
(+.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (*.f32 (cbrt.f32 (*.f32 sinTheta_O sinTheta_i)) (pow.f32 (cbrt.f32 (*.f32 sinTheta_O sinTheta_i)) #s(literal 2 binary32))))) (fma.f32 (neg.f32 (cbrt.f32 (*.f32 sinTheta_O sinTheta_i))) (pow.f32 (cbrt.f32 (*.f32 sinTheta_O sinTheta_i)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (*.f32 sinTheta_O sinTheta_i)) (pow.f32 (cbrt.f32 (*.f32 sinTheta_O sinTheta_i)) #s(literal 2 binary32)))))
(+.f32 (fma.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i) (neg.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32)))) (fma.f32 (neg.f32 (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32))))
(+.f32 (fma.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i) (neg.f32 (*.f32 (cbrt.f32 (*.f32 sinTheta_O sinTheta_i)) (pow.f32 (cbrt.f32 (*.f32 sinTheta_O sinTheta_i)) #s(literal 2 binary32))))) (fma.f32 (neg.f32 (cbrt.f32 (*.f32 sinTheta_O sinTheta_i))) (pow.f32 (cbrt.f32 (*.f32 sinTheta_O sinTheta_i)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (*.f32 sinTheta_O sinTheta_i)) (pow.f32 (cbrt.f32 (*.f32 sinTheta_O sinTheta_i)) #s(literal 2 binary32)))))
(+.f32 (fma.f32 (pow.f32 (cbrt.f32 (*.f32 cosTheta_O cosTheta_i)) #s(literal 2 binary32)) (cbrt.f32 (*.f32 cosTheta_O cosTheta_i)) (neg.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32)))) (fma.f32 (neg.f32 (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32))))
(+.f32 (fma.f32 (pow.f32 (cbrt.f32 (*.f32 cosTheta_O cosTheta_i)) #s(literal 2 binary32)) (cbrt.f32 (*.f32 cosTheta_O cosTheta_i)) (neg.f32 (*.f32 (cbrt.f32 (*.f32 sinTheta_O sinTheta_i)) (pow.f32 (cbrt.f32 (*.f32 sinTheta_O sinTheta_i)) #s(literal 2 binary32))))) (fma.f32 (neg.f32 (cbrt.f32 (*.f32 sinTheta_O sinTheta_i))) (pow.f32 (cbrt.f32 (*.f32 sinTheta_O sinTheta_i)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (*.f32 sinTheta_O sinTheta_i)) (pow.f32 (cbrt.f32 (*.f32 sinTheta_O sinTheta_i)) #s(literal 2 binary32)))))
(+.f32 (fma.f32 (sqrt.f32 (*.f32 cosTheta_O cosTheta_i)) (sqrt.f32 (*.f32 cosTheta_O cosTheta_i)) (neg.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32)))) (fma.f32 (neg.f32 (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32))))
(+.f32 (fma.f32 (sqrt.f32 (*.f32 cosTheta_O cosTheta_i)) (sqrt.f32 (*.f32 cosTheta_O cosTheta_i)) (neg.f32 (*.f32 (cbrt.f32 (*.f32 sinTheta_O sinTheta_i)) (pow.f32 (cbrt.f32 (*.f32 sinTheta_O sinTheta_i)) #s(literal 2 binary32))))) (fma.f32 (neg.f32 (cbrt.f32 (*.f32 sinTheta_O sinTheta_i))) (pow.f32 (cbrt.f32 (*.f32 sinTheta_O sinTheta_i)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (*.f32 sinTheta_O sinTheta_i)) (pow.f32 (cbrt.f32 (*.f32 sinTheta_O sinTheta_i)) #s(literal 2 binary32)))))
(*.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)))
(*.f32 (cbrt.f32 (pow.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) #s(literal 2 binary32))) (cbrt.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i))))
(*.f32 (sqrt.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i))) (sqrt.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i))))
(/.f32 (-.f32 (pow.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 3 binary32)) (pow.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 2 binary32)) (+.f32 (pow.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 2 binary32)) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)))))
(/.f32 (-.f32 (pow.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 2 binary32)) (pow.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 2 binary32))) (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)))
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 3 binary32)) (pow.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 3 binary32)))) (neg.f32 (+.f32 (pow.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 2 binary32)) (+.f32 (pow.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 2 binary32)) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 2 binary32)) (pow.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 2 binary32)))) (neg.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i))))
(pow.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) #s(literal 2 binary32)))
(log.f32 (exp.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)))))
(cbrt.f32 (pow.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i))))
(log1p.f32 (expm1.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i))))
(exp.f32 (log.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i))))
(exp.f32 (*.f32 (log.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i))) #s(literal 1 binary32)))
(fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i))
(fma.f32 cosTheta_O cosTheta_i (neg.f32 (*.f32 sinTheta_O sinTheta_i)))
(fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O sinTheta_i))
(fma.f32 cosTheta_i cosTheta_O (neg.f32 (*.f32 sinTheta_O sinTheta_i)))
(fma.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))
(fma.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i) (neg.f32 (*.f32 sinTheta_O sinTheta_i)))
(fma.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) (fma.f32 (neg.f32 sinTheta_O) sinTheta_i (*.f32 sinTheta_O sinTheta_i)))
(fma.f32 (cbrt.f32 (pow.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) #s(literal 2 binary32))) (cbrt.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i))) (fma.f32 (neg.f32 sinTheta_O) sinTheta_i (*.f32 sinTheta_O sinTheta_i)))
(fma.f32 (pow.f32 (cbrt.f32 (*.f32 cosTheta_O cosTheta_i)) #s(literal 2 binary32)) (cbrt.f32 (*.f32 cosTheta_O cosTheta_i)) (*.f32 sinTheta_O sinTheta_i))
(fma.f32 (pow.f32 (cbrt.f32 (*.f32 cosTheta_O cosTheta_i)) #s(literal 2 binary32)) (cbrt.f32 (*.f32 cosTheta_O cosTheta_i)) (neg.f32 (*.f32 sinTheta_O sinTheta_i)))
(fma.f32 (sqrt.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i))) (sqrt.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i))) (fma.f32 (neg.f32 sinTheta_O) sinTheta_i (*.f32 sinTheta_O sinTheta_i)))
(fma.f32 (sqrt.f32 (*.f32 cosTheta_O cosTheta_i)) (sqrt.f32 (*.f32 cosTheta_O cosTheta_i)) (*.f32 sinTheta_O sinTheta_i))
(fma.f32 (sqrt.f32 (*.f32 cosTheta_O cosTheta_i)) (sqrt.f32 (*.f32 cosTheta_O cosTheta_i)) (neg.f32 (*.f32 sinTheta_O sinTheta_i)))
Outputs
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)
(/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)
(/.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 v)))))) #s(literal 1 binary32)) v)
(/.f32 (+.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 v (+.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal 1/2 binary32))) (neg.f32 (log.f32 v))))) #s(literal -1 binary32)) v)
(/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 v (+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v))) #s(literal -1 binary32))) v)
(/.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 v)))))) #s(literal 1 binary32)) v)
(/.f32 (+.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 v (+.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal 1/2 binary32))) (neg.f32 (log.f32 v))))) #s(literal -1 binary32)) v)
(/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 v (+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v))) #s(literal -1 binary32))) v)
(/.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 v)))))) #s(literal 1 binary32)) v)
(/.f32 (+.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 v (+.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal 1/2 binary32))) (neg.f32 (log.f32 v))))) #s(literal -1 binary32)) v)
(/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 v (+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v))) #s(literal -1 binary32))) v)
(+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) v))))
(+.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal 1/2 binary32))) (neg.f32 (log.f32 v)))
(+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v)))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (+.f32 (log.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))) (/.f32 #s(literal 1 binary32) v))
(+.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (+.f32 (neg.f32 (log.f32 v)) (*.f32 cosTheta_O (/.f32 cosTheta_i v))))) (/.f32 #s(literal -1 binary32) v))
(+.f32 (+.f32 (log.f32 #s(literal 1/2 binary32)) (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (log.f32 v))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (+.f32 (log.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))) (/.f32 #s(literal 1 binary32) v))
(+.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (+.f32 (neg.f32 (log.f32 v)) (*.f32 cosTheta_O (/.f32 cosTheta_i v))))) (/.f32 #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))
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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) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) 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) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) 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) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) 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) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) 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) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))
(exp.f32 (/.f32 (fma.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))
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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))
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(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) 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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(+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))
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(/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v))
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(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)
(+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)
(+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) 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 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (*.f32 cosTheta_O v))) (/.f32 cosTheta_i v)))
(*.f32 cosTheta_O (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (*.f32 cosTheta_O v)) (/.f32 cosTheta_i v)))
(*.f32 cosTheta_O (-.f32 (/.f32 cosTheta_i v) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (*.f32 cosTheta_O v))))
(*.f32 cosTheta_O (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (*.f32 cosTheta_O v))) (/.f32 cosTheta_i v)))
(*.f32 cosTheta_O (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (*.f32 cosTheta_O v)) (/.f32 cosTheta_i v)))
(*.f32 cosTheta_O (-.f32 (/.f32 cosTheta_i v) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (*.f32 cosTheta_O v))))
(*.f32 cosTheta_O (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (*.f32 cosTheta_O v))) (/.f32 cosTheta_i v)))
(*.f32 cosTheta_O (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (*.f32 cosTheta_O v)) (/.f32 cosTheta_i v)))
(*.f32 cosTheta_O (-.f32 (/.f32 cosTheta_i v) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (*.f32 cosTheta_O v))))
(/.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 #s(literal 1 binary32) (*.f32 cosTheta_O 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 #s(literal 1 binary32) (*.f32 cosTheta_O v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_O v)))))
(*.f32 (-.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i (*.f32 cosTheta_O v)) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_O v))) (/.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 #s(literal 1 binary32) (*.f32 cosTheta_O v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_O v))))))
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(fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (*.f32 (pow.f32 sinTheta_O #s(literal 2 binary32)) (/.f32 (*.f32 sinTheta_i (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) (pow.f32 v #s(literal 2 binary32)))) (*.f32 (neg.f32 sinTheta_O) (/.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) v))) (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(+.f32 (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1 binary32) v))) (*.f32 sinTheta_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1 binary32) v)))) v)) (*.f32 sinTheta_i (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) (*.f32 sinTheta_i (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1 binary32) v))))) (pow.f32 v #s(literal 3 binary32)))) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 2 binary32)) (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1 binary32) v)))) (pow.f32 v #s(literal 2 binary32)))))))))
(+.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (*.f32 sinTheta_i (fma.f32 #s(literal -1 binary32) (*.f32 sinTheta_O (/.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) v)) (*.f32 sinTheta_i (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) (/.f32 (*.f32 sinTheta_i (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) (pow.f32 v #s(literal 3 binary32)))) (*.f32 #s(literal 1/2 binary32) (*.f32 (pow.f32 sinTheta_O #s(literal 2 binary32)) (/.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (pow.f32 v #s(literal 2 binary32))))))))))
(fma.f32 sinTheta_i (fma.f32 sinTheta_i (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) (/.f32 (*.f32 sinTheta_i (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) (pow.f32 v #s(literal 3 binary32)))) (*.f32 #s(literal 1/2 binary32) (*.f32 (pow.f32 sinTheta_O #s(literal 2 binary32)) (/.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (pow.f32 v #s(literal 2 binary32)))))) (*.f32 (neg.f32 sinTheta_O) (/.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) v))) (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(exp.f32 (-.f32 (/.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 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))
(exp.f32 (-.f32 (/.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 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))
(exp.f32 (-.f32 (/.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 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))
(exp.f32 (-.f32 (/.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 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))
(exp.f32 (-.f32 (/.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 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))
(exp.f32 (-.f32 (/.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 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))
(exp.f32 (-.f32 (/.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 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))
(exp.f32 (-.f32 (/.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 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))
(exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1 binary32) v)))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(+.f32 (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1 binary32) v))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1 binary32) v))))) v)))
(+.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (neg.f32 (*.f32 sinTheta_O (/.f32 (*.f32 sinTheta_i (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) v))))
(-.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (/.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) v))
(+.f32 (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1 binary32) v))) (*.f32 sinTheta_O (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_i (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1 binary32) v)))) v)) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 sinTheta_O (*.f32 (pow.f32 sinTheta_i #s(literal 2 binary32)) (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1 binary32) v))))) (pow.f32 v #s(literal 2 binary32)))))))
(+.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (*.f32 sinTheta_O (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_i (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) v) (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O (*.f32 (pow.f32 sinTheta_i #s(literal 2 binary32)) (/.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (pow.f32 v #s(literal 2 binary32)))))))))
(fma.f32 sinTheta_O (fma.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O (*.f32 (pow.f32 sinTheta_i #s(literal 2 binary32)) (/.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (pow.f32 v #s(literal 2 binary32))))) (/.f32 (*.f32 sinTheta_i (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) (neg.f32 v))) (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(+.f32 (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1 binary32) v))) (*.f32 sinTheta_O (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_i (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1 binary32) v)))) v)) (*.f32 sinTheta_O (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 sinTheta_O (*.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1 binary32) v))))) (pow.f32 v #s(literal 3 binary32)))) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (pow.f32 sinTheta_i #s(literal 2 binary32)) (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1 binary32) v)))) (pow.f32 v #s(literal 2 binary32)))))))))
(+.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (*.f32 sinTheta_O (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_i (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) v) (*.f32 sinTheta_O (fma.f32 #s(literal -1/6 binary32) (*.f32 sinTheta_O (/.f32 (*.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) (pow.f32 v #s(literal 3 binary32)))) (*.f32 #s(literal 1/2 binary32) (*.f32 (pow.f32 sinTheta_i #s(literal 2 binary32)) (/.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (pow.f32 v #s(literal 2 binary32))))))))))
(fma.f32 sinTheta_O (fma.f32 sinTheta_O (fma.f32 #s(literal 1/2 binary32) (*.f32 (pow.f32 sinTheta_i #s(literal 2 binary32)) (/.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (pow.f32 v #s(literal 2 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 sinTheta_O (/.f32 (*.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) (pow.f32 v #s(literal 3 binary32)))))) (/.f32 (*.f32 sinTheta_i (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) (neg.f32 v))) (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(exp.f32 (-.f32 (/.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 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))
(exp.f32 (-.f32 (/.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 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))
(exp.f32 (-.f32 (/.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 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))
(exp.f32 (-.f32 (/.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 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))
(exp.f32 (-.f32 (/.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 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))
(exp.f32 (-.f32 (/.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 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))
(exp.f32 (-.f32 (/.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 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))
(exp.f32 (-.f32 (/.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 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))
(exp.f32 (-.f32 (/.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 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))
(exp.f32 (-.f32 (/.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 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))
(exp.f32 (-.f32 (/.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 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))
(exp.f32 (-.f32 (/.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 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))
#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)))
(+.f32 #s(literal 1 binary32) (-.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))
(-.f32 (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) #s(literal 2 binary32)) (pow.f32 v #s(literal 2 binary32)))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(+.f32 #s(literal 1 binary32) (-.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) #s(literal 2 binary32)) (pow.f32 v #s(literal 2 binary32))) (*.f32 cosTheta_O (/.f32 cosTheta_i v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))))
(+.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 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 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))
(-.f32 (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 #s(literal 1/6 binary32) (/.f32 (pow.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) #s(literal 3 binary32)) (pow.f32 v #s(literal 3 binary32)))) (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) #s(literal 2 binary32)) (pow.f32 v #s(literal 2 binary32)))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(+.f32 #s(literal 1 binary32) (-.f32 (fma.f32 #s(literal 1/6 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)) (fma.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) #s(literal 2 binary32)) (pow.f32 v #s(literal 2 binary32))) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))) (+.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))))
(+.f32 #s(literal 1 binary32) (-.f32 (fma.f32 #s(literal 1/6 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)) (fma.f32 #s(literal 1/2 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 cosTheta_O (/.f32 cosTheta_i v)))) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 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 #s(literal 1 binary32) (neg.f32 (/.f32 (+.f32 #s(literal 1 binary32) (neg.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)))) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i)))) v))
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 #s(literal -1 binary32) (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))) (*.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)))) #s(literal 2 binary32)) v)))) v)))
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(/.f32 (-.f32 (pow.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 3 binary32)) (pow.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 2 binary32)) (*.f32 (*.f32 sinTheta_O sinTheta_i) (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)))))
(/.f32 (-.f32 (pow.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 2 binary32)) (pow.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 2 binary32))) (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)))
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 3 binary32)) (pow.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 3 binary32)))) (neg.f32 (+.f32 (pow.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 2 binary32)) (+.f32 (pow.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 2 binary32)) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 3 binary32)) (pow.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 3 binary32)))) (neg.f32 (+.f32 (pow.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 2 binary32)) (+.f32 (pow.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 2 binary32)) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)))))))
(*.f32 #s(literal 1 binary32) (/.f32 (-.f32 (pow.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 3 binary32)) (pow.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 2 binary32)) (*.f32 (*.f32 sinTheta_O sinTheta_i) (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 2 binary32)) (pow.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 2 binary32)))) (neg.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i))))
(neg.f32 (/.f32 (-.f32 (pow.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 2 binary32)) (pow.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 2 binary32))) (neg.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)))))
(*.f32 #s(literal 1 binary32) (/.f32 (-.f32 (pow.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 2 binary32)) (pow.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 2 binary32))) (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i))))
(pow.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32))
(fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i))
(pow.f32 (cbrt.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i))) #s(literal 3 binary32))
(fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i))
(pow.f32 (pow.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i))
(pow.f32 (sqrt.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i))) #s(literal 2 binary32))
(fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i))
(sqrt.f32 (pow.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) #s(literal 2 binary32)))
(fabs.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)))
(log.f32 (exp.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i))))
(fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)))))
(fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i))
(cbrt.f32 (pow.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) #s(literal 3 binary32)))
(fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i))
(expm1.f32 (log1p.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i))))
(log1p.f32 (expm1.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i))))
(fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i))
(exp.f32 (log.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i))))
(fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i))
(exp.f32 (*.f32 (log.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i))) #s(literal 1 binary32)))
(fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i))
(fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i))
(fma.f32 cosTheta_O cosTheta_i (neg.f32 (*.f32 sinTheta_O sinTheta_i)))
(-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))
(fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i)))
(fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O sinTheta_i))
(fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i))
(fma.f32 cosTheta_i cosTheta_O (neg.f32 (*.f32 sinTheta_O sinTheta_i)))
(-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))
(fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i)))
(fma.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))
(fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i))
(fma.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i) (neg.f32 (*.f32 sinTheta_O sinTheta_i)))
(-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))
(fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i)))
(fma.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) (fma.f32 (neg.f32 sinTheta_O) sinTheta_i (*.f32 sinTheta_O sinTheta_i)))
(+.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) (fma.f32 (neg.f32 sinTheta_O) sinTheta_i (*.f32 sinTheta_O sinTheta_i)))
(+.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) (*.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 0 binary32)))
(fma.f32 (cbrt.f32 (pow.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) #s(literal 2 binary32))) (cbrt.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i))) (fma.f32 (neg.f32 sinTheta_O) sinTheta_i (*.f32 sinTheta_O sinTheta_i)))
(fma.f32 (cbrt.f32 (pow.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) #s(literal 2 binary32))) (cbrt.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i))) (*.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 0 binary32)))
(fma.f32 (pow.f32 (cbrt.f32 (*.f32 cosTheta_O cosTheta_i)) #s(literal 2 binary32)) (cbrt.f32 (*.f32 cosTheta_O cosTheta_i)) (*.f32 sinTheta_O sinTheta_i))
(fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i))
(fma.f32 (pow.f32 (cbrt.f32 (*.f32 cosTheta_O cosTheta_i)) #s(literal 2 binary32)) (cbrt.f32 (*.f32 cosTheta_O cosTheta_i)) (neg.f32 (*.f32 sinTheta_O sinTheta_i)))
(-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))
(fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i)))
(fma.f32 (sqrt.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i))) (sqrt.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i))) (fma.f32 (neg.f32 sinTheta_O) sinTheta_i (*.f32 sinTheta_O sinTheta_i)))
(+.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) (fma.f32 (neg.f32 sinTheta_O) sinTheta_i (*.f32 sinTheta_O sinTheta_i)))
(+.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i)) (*.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 0 binary32)))
(fma.f32 (sqrt.f32 (*.f32 cosTheta_O cosTheta_i)) (sqrt.f32 (*.f32 cosTheta_O cosTheta_i)) (*.f32 sinTheta_O sinTheta_i))
(fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O sinTheta_i))
(fma.f32 (sqrt.f32 (*.f32 cosTheta_O cosTheta_i)) (sqrt.f32 (*.f32 cosTheta_O cosTheta_i)) (neg.f32 (*.f32 sinTheta_O sinTheta_i)))
(-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))
(fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i)))

eval354.0ms (2.1%)

Compiler

Compiled 18290 to 10499 computations (42.6% saved)

prune199.0ms (1.2%)

Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New7158723
Fresh235
Picked415
Done000
Total72112733
Accuracy
99.9%
Counts
733 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(/.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v)) (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))))
6.3%
(-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
99.8%
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (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) #s(literal 6931/10000 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))))
▶99.8%
(*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1 binary32) v))))
▶98.2%
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))
12.4%
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
▶13.1%
(exp.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
▶99.8%
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))
✓13.2%
(exp.f32 (*.f32 (/.f32 sinTheta_O v) (neg.f32 sinTheta_i)))
99.6%
(exp.f32 (*.f32 (-.f32 (/.f32 cosTheta_i (neg.f32 v)) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal -1 binary32) v))) cosTheta_O)) (neg.f32 cosTheta_O)))
▶6.4%
#s(literal 1 binary32)
Compiler

Compiled 384 to 297 computations (22.7% saved)

localize528.0ms (3.2%)

Localize:

Found 12 expressions with local error:

NewAccuracyProgram
✓99.9%
(*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1 binary32) v))))
✓99.8%
(exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1 binary32) v)))
98.8%
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)))
73.5%
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
✓100.0%
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)
✓99.8%
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))
✓99.9%
(exp.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
73.5%
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
✓100.0%
(log.f32 (/.f32 #s(literal 1/2 binary32) v))
✓100.0%
(+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
✓99.9%
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))
✓99.8%
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))
Compiler

Compiled 156 to 83 computations (46.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 119.0ms
Operation ival-div, time spent: 40.0ms, 34.0% of total-time
Operation ival-exp, time spent: 22.0ms, 19.0% of total-time
Operation ival-log, time spent: 18.0ms, 15.0% of total-time
Operation ival-mult, time spent: 15.0ms, 13.0% of total-time
Operation ival-sub, time spent: 12.0ms, 10.0% of total-time
Operation ival-add, time spent: 7.0ms, 6.0% of total-time
Operation const, time spent: 5.0ms, 4.0% of total-time

series101.0ms (0.6%)

Counts
9 → 152
Calls
Call 1
Inputs
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))>
#<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 #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 (exp.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v))>
#<alt (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))>
#<alt (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)>
#<alt (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.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 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1 binary32) v))))>
Outputs
#<alt (/.f32 #s(literal -1 binary32) v)>
#<alt (/.f32 (-.f32 (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 v))))) #s(literal 1 binary32)) v)>
#<alt (/.f32 (-.f32 (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 v))))) #s(literal 1 binary32)) v)>
#<alt (/.f32 (-.f32 (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 v))))) #s(literal 1 binary32)) v)>
#<alt (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 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)) (log.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(literal 1 binary32) v))>
#<alt (-.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) v))>
#<alt (-.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) v))>
#<alt (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1/2 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)) (log.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 #s(literal 1 binary32) v))>
#<alt (-.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) v))>
#<alt (-.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) v))>
#<alt (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) v)))))>
#<alt (+.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)))>
#<alt (+.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 (*.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)) (*.f32 #s(literal 1/2 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))))) (pow.f32 v #s(literal 2 binary32))))))>
#<alt (+.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 (*.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)) (+.f32 (*.f32 #s(literal -1/6 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))))) (pow.f32 v #s(literal 3 binary32)))) (*.f32 #s(literal 1/2 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))))) (pow.f32 v #s(literal 2 binary32)))))))>
#<alt (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v)))))>
#<alt (+.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)))>
#<alt (+.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 (+.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 -1/2 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))) v)))>
#<alt (+.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 (+.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 (+.f32 (*.f32 #s(literal -1/6 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)) (*.f32 #s(literal 1/2 binary32) (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))) v)))>
#<alt (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 v))))>
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#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1 binary32) v)))) v))>
#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v))>
#<alt (/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32))) v))) v)>
#<alt (/.f32 (+.f32 (*.f32 #s(literal 1/4 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 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32))) v)))) v)>
#<alt (/.f32 (+.f32 (*.f32 #s(literal 1/12 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 1/4 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 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32))) v))))) v)>
#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v))>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (*.f32 cosTheta_O cosTheta_i)))) v))) v))>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (*.f32 cosTheta_O cosTheta_i))))) (*.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (*.f32 cosTheta_O cosTheta_i))) #s(literal 2 binary32))) v))) v)) (*.f32 #s(literal -1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32)))) v))>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (*.f32 cosTheta_O cosTheta_i))) #s(literal 2 binary32)))) (*.f32 #s(literal 1/12 binary32) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (*.f32 cosTheta_O cosTheta_i))) #s(literal 3 binary32))) v))) v)) (*.f32 #s(literal -1/2 binary32) (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (*.f32 cosTheta_O cosTheta_i)))))) v)) (*.f32 #s(literal -1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32)))) v))>
#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v)))) v))>
#<alt (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v)))))) (pow.f32 v #s(literal 2 binary32)))) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v)))) v)))>
#<alt (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) 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)) (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v)))))) (pow.f32 v #s(literal 3 binary32)))) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta_i (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v))))) (pow.f32 v #s(literal 2 binary32)))))))>
#<alt (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v)))) v)) (*.f32 cosTheta_O (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta_i (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) 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)) (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v)))))) (pow.f32 v #s(literal 4 binary32)))) (*.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (pow.f32 cosTheta_i #s(literal 2 binary32)) (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v))))) (pow.f32 v #s(literal 3 binary32)))))))))>
#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1 binary32) v)))) v))>
#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1 binary32) v)))) v))>
#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1 binary32) v)))) v))>
#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1 binary32) v)))) v))>
#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1 binary32) v)))) v))>
#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1 binary32) v)))) v))>
#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1 binary32) v)))) v))>
#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1 binary32) v)))) v))>
#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v)))) v))>
#<alt (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v)))))) (pow.f32 v #s(literal 2 binary32)))) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v)))) v)))>
#<alt (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v)))) v)) (*.f32 cosTheta_i (+.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (pow.f32 cosTheta_O #s(literal 2 binary32)) (*.f32 cosTheta_i (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v)))))) (pow.f32 v #s(literal 3 binary32)))) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta_O (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v))))) (pow.f32 v #s(literal 2 binary32)))))))>
#<alt (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v)))) v)) (*.f32 cosTheta_i (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta_O (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v))))) (pow.f32 v #s(literal 2 binary32)))) (*.f32 cosTheta_i (+.f32 (*.f32 #s(literal 1/12 binary32) (/.f32 (*.f32 (pow.f32 cosTheta_O #s(literal 3 binary32)) (*.f32 cosTheta_i (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v)))))) (pow.f32 v #s(literal 4 binary32)))) (*.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (pow.f32 cosTheta_O #s(literal 2 binary32)) (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v))))) (pow.f32 v #s(literal 3 binary32)))))))))>
#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1 binary32) v)))) v))>
#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1 binary32) v)))) v))>
#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1 binary32) v)))) v))>
#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1 binary32) v)))) v))>
#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1 binary32) v)))) v))>
#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1 binary32) v)))) v))>
#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1 binary32) v)))) v))>
#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1 binary32) v)))) v))>
Calls

57 calls:

TimeVariablePointExpression
22.0ms
v
@-inf
(* (* (/ 1/2 v) (exp 6931/10000)) (exp (- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v))))
20.0ms
v
@0
(+ 6931/10000 (log (/ 1/2 v)))
10.0ms
v
@-inf
(+ 6931/10000 (log (/ 1/2 v)))
7.0ms
v
@inf
(+ 6931/10000 (log (/ 1/2 v)))
4.0ms
cosTheta_i
@0
(exp (/ (- (* cosTheta_O cosTheta_i) 1) v))

rewrite236.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
996×log1p-expm1-u
342×associate-*r*
242×associate-*l*
202×add-exp-log
202×frac-times
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
030267
1479263
26665263
Stop Event
1×node limit
Counts
9 → 297
Calls
Call 1
Inputs
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) 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 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
(log.f32 (/.f32 #s(literal 1/2 binary32) v))
(exp.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)
(exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) 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 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1 binary32) v))))
Outputs
(+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal -1 binary32) v)))
(+.f32 #s(literal 6931/10000 binary32) (*.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal -1 binary32) v)) #s(literal 1 binary32)))
(+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
(+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 #s(literal 6931/10000 binary32) (/.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 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 1 binary32)))
(+.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal -1 binary32) v))) (fma.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v)))
(+.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal -1 binary32) v))) (fma.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 v))) (cbrt.f32 (pow.f32 v #s(literal -2 binary32))) (/.f32 #s(literal 1 binary32) v)))
(+.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal -1 binary32) v))) (fma.f32 (neg.f32 (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32)) (/.f32 #s(literal 1 binary32) v)))
(+.f32 #s(literal 0 binary32) (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal -1 binary32) v))))
(+.f32 (/.f32 #s(literal -1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))
(+.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal -1 binary32) v)) #s(literal 6931/10000 binary32))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 2 binary32))) (log.f32 (cbrt.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(+.f32 (log.f32 (sqrt.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (log.f32 (sqrt.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(*.f32 #s(literal 1 binary32) (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal -1 binary32) v))))
(*.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal -1 binary32) v))) #s(literal 1 binary32))
(*.f32 (cbrt.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal -1 binary32) v)))) (pow.f32 (cbrt.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal -1 binary32) v)))) #s(literal 2 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal -1 binary32) v)))) #s(literal 2 binary32)) (cbrt.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal -1 binary32) v)))))
(*.f32 (sqrt.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal -1 binary32) v)))) (sqrt.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal -1 binary32) v)))))
(*.f32 (-.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 3 binary32)) (pow.f32 v #s(literal -3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 2 binary32)) (pow.f32 v #s(literal -2 binary32))) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) v))))
(*.f32 (-.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 2 binary32)) (pow.f32 v #s(literal -2 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))
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(*.f32 (*.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (cbrt.f32 (pow.f32 v #s(literal -2 binary32)))) (/.f32 #s(literal 1 binary32) (cbrt.f32 v)))
(*.f32 (*.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32)))
(pow.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) #s(literal 2 binary32))
(pow.f32 (/.f32 v (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) #s(literal -1 binary32))
(neg.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (neg.f32 v)))
(neg.f32 (/.f32 (neg.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(sqrt.f32 (pow.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v) #s(literal 2 binary32)))
(log.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(cbrt.f32 (pow.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) #s(literal 3 binary32)) (pow.f32 v #s(literal -3 binary32))))
(cbrt.f32 (/.f32 (pow.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) #s(literal 3 binary32)) (pow.f32 v #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(log1p.f32 (expm1.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(exp.f32 (log.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(exp.f32 (*.f32 (log.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (/.f32 #s(literal -1 binary32) v))
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) (/.f32 #s(literal -1 binary32) v))
(fma.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal -1 binary32) v))
(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))) (/.f32 #s(literal -1 binary32) v))
(fma.f32 (sqrt.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (sqrt.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (/.f32 #s(literal -1 binary32) v))
(-.f32 (exp.f32 (log1p.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(*.f32 (pow.f32 (exp.f32 cosTheta_O) (/.f32 cosTheta_i v)) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 (pow.f32 (exp.f32 cosTheta_O) (/.f32 cosTheta_i v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
(*.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) #s(literal 1 binary32))
(*.f32 (cbrt.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) (pow.f32 (cbrt.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) #s(literal 2 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) #s(literal 2 binary32)) (cbrt.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(*.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 cosTheta_O) (/.f32 cosTheta_i v))) #s(literal 2 binary32)) (/.f32 (cbrt.f32 (pow.f32 (exp.f32 cosTheta_O) (/.f32 cosTheta_i v))) (exp.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 (sqrt.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) (sqrt.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(*.f32 (sqrt.f32 (pow.f32 (exp.f32 cosTheta_O) (/.f32 cosTheta_i v))) (/.f32 (sqrt.f32 (pow.f32 (exp.f32 cosTheta_O) (/.f32 cosTheta_i v))) (exp.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 #s(literal 1 binary32) (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (pow.f32 (exp.f32 cosTheta_O) (/.f32 cosTheta_i v))))
(/.f32 (pow.f32 (exp.f32 cosTheta_O) (/.f32 cosTheta_i v)) (exp.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 (neg.f32 (pow.f32 (exp.f32 cosTheta_O) (/.f32 cosTheta_i v))) (neg.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v))))
(pow.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) #s(literal 1 binary32))
(pow.f32 (exp.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) v))
(pow.f32 (cbrt.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) #s(literal 2 binary32))
(pow.f32 (exp.f32 #s(literal 1 binary32)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) #s(literal 2 binary32))) (cbrt.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(pow.f32 (exp.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) (sqrt.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(sqrt.f32 (pow.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) #s(literal 2 binary32)))
(log.f32 (exp.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))))
(cbrt.f32 (pow.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(log1p.f32 (expm1.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))))) #s(literal 1 binary32))
(/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) (*.f32 v #s(literal 2 binary32)))
(/.f32 (*.f32 (pow.f32 (exp.f32 cosTheta_O) (/.f32 cosTheta_i v)) (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32)))) (*.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) v))
(/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (pow.f32 (exp.f32 cosTheta_O) (/.f32 cosTheta_i v))) (*.f32 v (exp.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (*.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32)))) v)
(/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v)) (pow.f32 (exp.f32 cosTheta_O) (/.f32 cosTheta_i v))) (exp.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))) v)
(/.f32 (*.f32 #s(literal -1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))) (neg.f32 v))
(/.f32 (*.f32 (pow.f32 (exp.f32 cosTheta_O) (/.f32 cosTheta_i v)) (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v))) (exp.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) v)
(pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #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 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 (/.f32 #s(literal 1/2 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 (*.f32 (/.f32 #s(literal 1/2 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 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) #s(literal 3 binary32)) (pow.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v)) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v)) #s(literal 3 binary32)) (pow.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 (/.f32 #s(literal 1/2 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 (*.f32 (/.f32 #s(literal 1/2 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) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(exp.f32 (*.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) #s(literal 1 binary32)))

simplify193.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
1044×associate-*r*
972×fma-define
866×associate-*l*
520×times-frac
470×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
097621900
1255419977
Stop Event
1×node limit
Counts
449 → 528
Calls
Call 1
Inputs
(/.f32 #s(literal -1 binary32) v)
(/.f32 (-.f32 (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 v))))) #s(literal 1 binary32)) v)
(/.f32 (-.f32 (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 v))))) #s(literal 1 binary32)) v)
(/.f32 (-.f32 (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 v))))) #s(literal 1 binary32)) v)
(+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) v))))
(-.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) v))
(-.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) v))
(-.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) v))
(+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))))
(-.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) v))
(-.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) v))
(-.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) 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)))))
(+.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)))
(+.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 (*.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)) (*.f32 #s(literal 1/2 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))))) (pow.f32 v #s(literal 2 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))))) (+.f32 (*.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)) (+.f32 (*.f32 #s(literal -1/6 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))))) (pow.f32 v #s(literal 3 binary32)))) (*.f32 #s(literal 1/2 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))))) (pow.f32 v #s(literal 2 binary32)))))))
(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)))
(+.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 (+.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 -1/2 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))) 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 (+.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 (+.f32 (*.f32 #s(literal -1/6 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)) (*.f32 #s(literal 1/2 binary32) (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))) v)))
(+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 v))))
(+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 v))))
(+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 v))))
(+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 v))))
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(*.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 cosTheta_O) (/.f32 cosTheta_i v))) #s(literal 2 binary32)) (/.f32 (cbrt.f32 (pow.f32 (exp.f32 cosTheta_O) (/.f32 cosTheta_i v))) (exp.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 (sqrt.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) (sqrt.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(*.f32 (sqrt.f32 (pow.f32 (exp.f32 cosTheta_O) (/.f32 cosTheta_i v))) (/.f32 (sqrt.f32 (pow.f32 (exp.f32 cosTheta_O) (/.f32 cosTheta_i v))) (exp.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 #s(literal 1 binary32) (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (pow.f32 (exp.f32 cosTheta_O) (/.f32 cosTheta_i v))))
(/.f32 (pow.f32 (exp.f32 cosTheta_O) (/.f32 cosTheta_i v)) (exp.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 (neg.f32 (pow.f32 (exp.f32 cosTheta_O) (/.f32 cosTheta_i v))) (neg.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v))))
(pow.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) #s(literal 1 binary32))
(pow.f32 (exp.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) v))
(pow.f32 (cbrt.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) #s(literal 2 binary32))
(pow.f32 (exp.f32 #s(literal 1 binary32)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) #s(literal 2 binary32))) (cbrt.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(pow.f32 (exp.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) (sqrt.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(sqrt.f32 (pow.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) #s(literal 2 binary32)))
(log.f32 (exp.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))))
(cbrt.f32 (pow.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(log1p.f32 (expm1.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))))) #s(literal 1 binary32))
(/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) (*.f32 v #s(literal 2 binary32)))
(/.f32 (*.f32 (pow.f32 (exp.f32 cosTheta_O) (/.f32 cosTheta_i v)) (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32)))) (*.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) v))
(/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (pow.f32 (exp.f32 cosTheta_O) (/.f32 cosTheta_i v))) (*.f32 v (exp.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (*.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32)))) v)
(/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v)) (pow.f32 (exp.f32 cosTheta_O) (/.f32 cosTheta_i v))) (exp.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))) v)
(/.f32 (*.f32 #s(literal -1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))) (neg.f32 v))
(/.f32 (*.f32 (pow.f32 (exp.f32 cosTheta_O) (/.f32 cosTheta_i v)) (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v))) (exp.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) v)
(pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #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 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 (/.f32 #s(literal 1/2 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 (*.f32 (/.f32 #s(literal 1/2 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 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) #s(literal 3 binary32)) (pow.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v)) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v)) #s(literal 3 binary32)) (pow.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 (/.f32 #s(literal 1/2 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 (*.f32 (/.f32 #s(literal 1/2 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) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(exp.f32 (*.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) #s(literal 1 binary32)))
Outputs
(/.f32 #s(literal -1 binary32) v)
(/.f32 (-.f32 (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 v))))) #s(literal 1 binary32)) v)
(/.f32 (fma.f32 v (+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v))) #s(literal -1 binary32)) v)
(/.f32 (fma.f32 v (-.f32 (log.f32 #s(literal 1/2 binary32)) (+.f32 (log.f32 v) #s(literal -6931/10000 binary32))) #s(literal -1 binary32)) v)
(/.f32 (-.f32 (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 v))))) #s(literal 1 binary32)) v)
(/.f32 (fma.f32 v (+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v))) #s(literal -1 binary32)) v)
(/.f32 (fma.f32 v (-.f32 (log.f32 #s(literal 1/2 binary32)) (+.f32 (log.f32 v) #s(literal -6931/10000 binary32))) #s(literal -1 binary32)) v)
(/.f32 (-.f32 (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 v))))) #s(literal 1 binary32)) v)
(/.f32 (fma.f32 v (+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v))) #s(literal -1 binary32)) v)
(/.f32 (fma.f32 v (-.f32 (log.f32 #s(literal 1/2 binary32)) (+.f32 (log.f32 v) #s(literal -6931/10000 binary32))) #s(literal -1 binary32)) v)
(+.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 6931/10000 binary32) (-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v)))
(-.f32 (log.f32 #s(literal 1/2 binary32)) (+.f32 (log.f32 v) #s(literal -6931/10000 binary32)))
(-.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) v))
(+.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v))) (/.f32 #s(literal -1 binary32) v))
(+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 #s(literal 1/2 binary32)) (+.f32 (log.f32 v) (/.f32 #s(literal 1 binary32) v))))
(-.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) v))
(+.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v))) (/.f32 #s(literal -1 binary32) v))
(+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 #s(literal 1/2 binary32)) (+.f32 (log.f32 v) (/.f32 #s(literal 1 binary32) v))))
(-.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) v))
(+.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v))) (/.f32 #s(literal -1 binary32) v))
(+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 #s(literal 1/2 binary32)) (+.f32 (log.f32 v) (/.f32 #s(literal 1 binary32) v))))
(+.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 6931/10000 binary32) (-.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (neg.f32 v))))
(-.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) v))
(+.f32 #s(literal 6931/10000 binary32) (-.f32 (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))) (/.f32 #s(literal 1 binary32) v)))
(+.f32 #s(literal 6931/10000 binary32) (+.f32 (-.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (neg.f32 v))) (/.f32 #s(literal -1 binary32) v)))
(-.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) v))
(+.f32 #s(literal 6931/10000 binary32) (-.f32 (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))) (/.f32 #s(literal 1 binary32) v)))
(+.f32 #s(literal 6931/10000 binary32) (+.f32 (-.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (neg.f32 v))) (/.f32 #s(literal -1 binary32) v)))
(-.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) v))
(+.f32 #s(literal 6931/10000 binary32) (-.f32 (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))) (/.f32 #s(literal 1 binary32) v)))
(+.f32 #s(literal 6931/10000 binary32) (+.f32 (-.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (neg.f32 v))) (/.f32 #s(literal -1 binary32) 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)))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v))))
(exp.f32 (-.f32 (log.f32 #s(literal 1/2 binary32)) (+.f32 (log.f32 v) #s(literal -6931/10000 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))))) (*.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)))
(+.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v)))) (neg.f32 (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v)))) v)))
(-.f32 (exp.f32 (-.f32 (log.f32 #s(literal 1/2 binary32)) (+.f32 (log.f32 v) #s(literal -6931/10000 binary32)))) (/.f32 (exp.f32 (-.f32 (log.f32 #s(literal 1/2 binary32)) (+.f32 (log.f32 v) #s(literal -6931/10000 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 (*.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)) (*.f32 #s(literal 1/2 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))))) (pow.f32 v #s(literal 2 binary32))))))
(+.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v)))) (fma.f32 #s(literal -1 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v)))) v) (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v)))) (pow.f32 v #s(literal 2 binary32))))))
(+.f32 (exp.f32 (-.f32 (log.f32 #s(literal 1/2 binary32)) (+.f32 (log.f32 v) #s(literal -6931/10000 binary32)))) (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 (log.f32 #s(literal 1/2 binary32)) (+.f32 (log.f32 v) #s(literal -6931/10000 binary32))))) (pow.f32 v #s(literal 2 binary32))) (/.f32 (exp.f32 (-.f32 (log.f32 #s(literal 1/2 binary32)) (+.f32 (log.f32 v) #s(literal -6931/10000 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 (*.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)) (+.f32 (*.f32 #s(literal -1/6 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))))) (pow.f32 v #s(literal 3 binary32)))) (*.f32 #s(literal 1/2 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))))) (pow.f32 v #s(literal 2 binary32)))))))
(+.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v)))) (fma.f32 #s(literal -1 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v)))) v) (fma.f32 #s(literal -1/6 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v)))) (pow.f32 v #s(literal 3 binary32))) (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v)))) (pow.f32 v #s(literal 2 binary32)))))))
(+.f32 (-.f32 (exp.f32 (-.f32 (log.f32 #s(literal 1/2 binary32)) (+.f32 (log.f32 v) #s(literal -6931/10000 binary32)))) (/.f32 (exp.f32 (-.f32 (log.f32 #s(literal 1/2 binary32)) (+.f32 (log.f32 v) #s(literal -6931/10000 binary32)))) v)) (fma.f32 #s(literal -1/6 binary32) (/.f32 (exp.f32 (-.f32 (log.f32 #s(literal 1/2 binary32)) (+.f32 (log.f32 v) #s(literal -6931/10000 binary32)))) (pow.f32 v #s(literal 3 binary32))) (/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 (log.f32 #s(literal 1/2 binary32)) (+.f32 (log.f32 v) #s(literal -6931/10000 binary32))))) (pow.f32 v #s(literal 2 binary32)))))
(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 #s(literal 6931/10000 binary32) (-.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (neg.f32 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)))
(+.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))))) (neg.f32 (/.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)))
(-.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (neg.f32 v))))) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (neg.f32 v))))) v))
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(exp.f32 (/.f32 #s(literal -1 binary32) v))
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#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 #s(literal 1 binary32) v))
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(/.f32 #s(literal -1 binary32) v)
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(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
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(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
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(exp.f32 (neg.f32 (/.f32 #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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(pow.f32 (exp.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) v))
(expm1.f32 (log1p.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(pow.f32 (cbrt.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) #s(literal 3 binary32))
(expm1.f32 (log1p.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(pow.f32 (pow.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(expm1.f32 (log1p.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(pow.f32 (sqrt.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) #s(literal 2 binary32))
(expm1.f32 (log1p.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(pow.f32 (exp.f32 #s(literal 1 binary32)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(expm1.f32 (log1p.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) #s(literal 2 binary32))) (cbrt.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(expm1.f32 (log1p.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(pow.f32 (exp.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) (sqrt.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(expm1.f32 (log1p.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(sqrt.f32 (pow.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) #s(literal 2 binary32)))
(fabs.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(log.f32 (exp.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(expm1.f32 (log1p.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))))
(expm1.f32 (log1p.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(cbrt.f32 (pow.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(expm1.f32 (log1p.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(log1p.f32 (expm1.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(expm1.f32 (log1p.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))))) #s(literal 1 binary32))
(expm1.f32 (log1p.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) v))))
(/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) (*.f32 v #s(literal 2 binary32)))
(/.f32 (*.f32 (pow.f32 (exp.f32 cosTheta_O) (/.f32 cosTheta_i v)) (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32)))) (*.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) v))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (/.f32 #s(literal -1 binary32) v)))) v))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) v))
(/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (pow.f32 (exp.f32 cosTheta_O) (/.f32 cosTheta_i v))) (*.f32 v (exp.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (/.f32 #s(literal -1 binary32) v)))) v))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) v))
(/.f32 (*.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32)))) v)
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (/.f32 #s(literal -1 binary32) v)))) v))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) v))
(/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v)) (pow.f32 (exp.f32 cosTheta_O) (/.f32 cosTheta_i v))) (exp.f32 (/.f32 #s(literal 1 binary32) v)))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (/.f32 #s(literal -1 binary32) v)))) v))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))) v)
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (/.f32 #s(literal -1 binary32) v)))) v))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) v))
(/.f32 (*.f32 #s(literal -1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))) (neg.f32 v))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (/.f32 #s(literal -1 binary32) v)))) v))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) v))
(/.f32 (*.f32 (pow.f32 (exp.f32 cosTheta_O) (/.f32 cosTheta_i v)) (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v))) (exp.f32 (/.f32 #s(literal 1 binary32) v)))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (/.f32 #s(literal -1 binary32) v)))) v))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) v))
(/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) v)
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (/.f32 #s(literal -1 binary32) v)))) v))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) v))
(pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))) #s(literal 1 binary32))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (/.f32 #s(literal -1 binary32) v)))) v))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) v))
(pow.f32 (cbrt.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))) #s(literal 3 binary32))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (/.f32 #s(literal -1 binary32) v)))) v))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) v))
(pow.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (/.f32 #s(literal -1 binary32) v)))) v))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) v))
(pow.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))) #s(literal 2 binary32))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (/.f32 #s(literal -1 binary32) v)))) v))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) v))
(sqrt.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 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 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) v)) #s(literal 2 binary32)))
(fabs.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) v)))
(log.f32 (pow.f32 (exp.f32 (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (/.f32 #s(literal -1 binary32) v)))) v))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) v))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))))))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (/.f32 #s(literal -1 binary32) v)))) v))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) v))
(cbrt.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))) #s(literal 3 binary32)))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (/.f32 #s(literal -1 binary32) v)))) v))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) v))
(cbrt.f32 (*.f32 (pow.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) #s(literal 3 binary32)) (pow.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v)) #s(literal 3 binary32))))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (/.f32 #s(literal -1 binary32) v)))) v))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) v))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v)) #s(literal 3 binary32)) (pow.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) #s(literal 3 binary32))))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (/.f32 #s(literal -1 binary32) v)))) v))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) v))
(expm1.f32 (log1p.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))))
(expm1.f32 (log1p.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) v))))
(log1p.f32 (expm1.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (/.f32 #s(literal -1 binary32) v)))) v))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) v))
(exp.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (/.f32 #s(literal -1 binary32) v)))) v))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) v))
(exp.f32 (*.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) #s(literal 1 binary32)))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (/.f32 #s(literal -1 binary32) v)))) v))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) v))

eval275.0ms (1.6%)

Compiler

Compiled 12555 to 8891 computations (29.2% saved)

prune158.0ms (0.9%)

Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New6295634
Fresh336
Picked325
Done101
Total63610646
Accuracy
99.9%
Counts
646 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.6%
(/.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v)))
6.3%
(-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
▶6.2%
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
▶99.8%
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (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) #s(literal 6931/10000 binary32)))))
99.8%
(*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v))))
99.8%
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) v))
▶98.2%
(exp.f32 (/.f32 #s(literal -1 binary32) v))
✓99.8%
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))
▶99.6%
(exp.f32 (*.f32 (-.f32 (/.f32 cosTheta_i (neg.f32 v)) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal -1 binary32) v))) cosTheta_O)) (neg.f32 cosTheta_O)))
✓6.4%
#s(literal 1 binary32)
Compiler

Compiled 290 to 236 computations (18.6% saved)

localize887.0ms (5.3%)

Localize:

Found 14 expressions with local error:

NewAccuracyProgram
✓99.9%
(+.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 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal -1 binary32) v))
✓99.6%
(/.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal -1 binary32) v))) cosTheta_O)
✓51.3%
(*.f32 (-.f32 (/.f32 cosTheta_i (neg.f32 v)) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal -1 binary32) v))) cosTheta_O)) (neg.f32 cosTheta_O))
✓99.8%
(exp.f32 (/.f32 #s(literal 1 binary32) v))
✓99.7%
(/.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v)))
98.9%
(/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v)
✓99.8%
(exp.f32 (/.f32 #s(literal -1 binary32) v))
✓99.9%
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
73.5%
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
99.9%
(-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))
✓99.8%
(-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))
✓99.8%
(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) #s(literal 6931/10000 binary32))))
84.7%
(/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)
Compiler

Compiled 278 to 154 computations (44.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 243.0ms
Operation ival-div, time spent: 92.0ms, 38.0% of total-time
Operation ival-log, time spent: 34.0ms, 14.0% of total-time
Operation ival-exp, time spent: 31.0ms, 13.0% of total-time
Operation ival-pow, time spent: 27.0ms, 11.0% of total-time
Operation ival-add, time spent: 17.0ms, 7.0% of total-time
Operation ival-mult, time spent: 16.0ms, 7.0% of total-time
Operation ival-sub, time spent: 14.0ms, 6.0% of total-time
Operation const, time spent: 9.0ms, 4.0% of total-time
Operation ival-neg, time spent: 3.0ms, 1.0% of total-time

series62.0ms (0.4%)

Counts
10 → 202
Calls
Call 1
Inputs
#<alt (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) #s(literal 6931/10000 binary32))))>
#<alt (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))>
#<alt (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))>
#<alt (exp.f32 (/.f32 #s(literal -1 binary32) v))>
#<alt (/.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v)))>
#<alt (exp.f32 (/.f32 #s(literal 1 binary32) v))>
#<alt (*.f32 (-.f32 (/.f32 cosTheta_i (neg.f32 v)) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal -1 binary32) v))) cosTheta_O)) (neg.f32 cosTheta_O))>
#<alt (/.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal -1 binary32) v))) cosTheta_O)>
#<alt (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) 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 #s(literal -1 binary32) v)))>
Outputs
#<alt (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))>
#<alt (+.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))>
#<alt (+.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 #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 (/.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))))>
#<alt (+.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))))>
#<alt (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))))>
#<alt (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))))>
#<alt (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))))>
#<alt (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))))>
#<alt (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))))>
#<alt (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))))>
#<alt (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))))>
#<alt (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))))>
#<alt (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))>
#<alt (+.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))>
#<alt (+.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))))>
#<alt (+.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))))>
#<alt (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))))>
#<alt (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))))>
#<alt (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))))>
#<alt (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))))>
#<alt (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))))>
#<alt (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))))>
#<alt (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))))>
#<alt (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))))>
#<alt (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)))>
#<alt (+.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 -1 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))))) v)))>
#<alt (+.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) (*.f32 sinTheta_i (+.f32 (*.f32 #s(literal -1 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)))) v)) (*.f32 #s(literal 1/2 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 2 binary32)))))))>
#<alt (+.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) (*.f32 sinTheta_i (+.f32 (*.f32 #s(literal -1 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)))) v)) (*.f32 sinTheta_i (+.f32 (*.f32 #s(literal -1/6 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 3 binary32)))) (*.f32 #s(literal 1/2 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 2 binary32)))))))))>
#<alt (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))))>
#<alt (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))))>
#<alt (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))))>
#<alt (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))))>
#<alt (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))))>
#<alt (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))))>
#<alt (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))))>
#<alt (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))))>
#<alt (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)))>
#<alt (+.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 -1 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))))) v)))>
#<alt (+.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) (*.f32 sinTheta_O (+.f32 (*.f32 #s(literal -1 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)))) v)) (*.f32 #s(literal 1/2 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 2 binary32)))))))>
#<alt (+.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) (*.f32 sinTheta_O (+.f32 (*.f32 #s(literal -1 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)))) v)) (*.f32 sinTheta_O (+.f32 (*.f32 #s(literal -1/6 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 3 binary32)))) (*.f32 #s(literal 1/2 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 2 binary32)))))))))>
#<alt (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))))>
#<alt (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))))>
#<alt (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))))>
#<alt (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))))>
#<alt (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))))>
#<alt (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))))>
#<alt (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))))>
#<alt (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))))>
#<alt (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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#<alt (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 cosTheta_O (+.f32 (*.f32 #s(literal -1 binary32) cosTheta_i) (/.f32 #s(literal 1 binary32) cosTheta_O))) v)) (*.f32 cosTheta_O (+.f32 (*.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_O)) (+.f32 (/.f32 (log.f32 #s(literal 1/2 binary32)) cosTheta_O) (/.f32 (log.f32 (/.f32 #s(literal 1 binary32) v)) cosTheta_O)))))>
#<alt (*.f32 cosTheta_O (+.f32 (*.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_O)) (+.f32 (/.f32 (log.f32 #s(literal -1/2 binary32)) cosTheta_O) (/.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) cosTheta_O))))>
#<alt (+.f32 (*.f32 cosTheta_O (+.f32 (*.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_O)) (+.f32 (/.f32 (log.f32 #s(literal -1/2 binary32)) cosTheta_O) (/.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) cosTheta_O)))) (/.f32 (*.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 #s(literal 1 binary32) cosTheta_O))) v))>
#<alt (+.f32 (*.f32 cosTheta_O (+.f32 (*.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_O)) (+.f32 (/.f32 (log.f32 #s(literal -1/2 binary32)) cosTheta_O) (/.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) cosTheta_O)))) (/.f32 (*.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 #s(literal 1 binary32) cosTheta_O))) v))>
#<alt (+.f32 (*.f32 cosTheta_O (+.f32 (*.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_O)) (+.f32 (/.f32 (log.f32 #s(literal -1/2 binary32)) cosTheta_O) (/.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) cosTheta_O)))) (/.f32 (*.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 #s(literal 1 binary32) cosTheta_O))) v))>
#<alt (*.f32 #s(literal -1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (*.f32 cosTheta_O (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) cosTheta_O)) (/.f32 cosTheta_i v)))>
#<alt (*.f32 cosTheta_O (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) cosTheta_O)) (/.f32 cosTheta_i v)))>
#<alt (*.f32 cosTheta_O (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) cosTheta_O)) (/.f32 cosTheta_i 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 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.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 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.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 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)) cosTheta_O)))))>
#<alt (/.f32 #s(literal -1 binary32) (*.f32 cosTheta_O v))>
#<alt (/.f32 (-.f32 (*.f32 v (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (log.f32 v) cosTheta_O)) (+.f32 (*.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_O)) (/.f32 (log.f32 #s(literal 1/2 binary32)) cosTheta_O)))) (/.f32 #s(literal 1 binary32) cosTheta_O)) v)>
#<alt (/.f32 (-.f32 (*.f32 v (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (log.f32 v) cosTheta_O)) (+.f32 (*.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_O)) (/.f32 (log.f32 #s(literal 1/2 binary32)) cosTheta_O)))) (/.f32 #s(literal 1 binary32) cosTheta_O)) v)>
#<alt (/.f32 (-.f32 (*.f32 v (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (log.f32 v) cosTheta_O)) (+.f32 (*.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_O)) (/.f32 (log.f32 #s(literal 1/2 binary32)) cosTheta_O)))) (/.f32 #s(literal 1 binary32) cosTheta_O)) v)>
#<alt (/.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) v)))) cosTheta_O)>
#<alt (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_O)) (+.f32 (/.f32 (log.f32 #s(literal 1/2 binary32)) cosTheta_O) (/.f32 (log.f32 (/.f32 #s(literal 1 binary32) v)) cosTheta_O))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_O v)))>
#<alt (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_O)) (+.f32 (/.f32 (log.f32 #s(literal 1/2 binary32)) cosTheta_O) (/.f32 (log.f32 (/.f32 #s(literal 1 binary32) v)) cosTheta_O))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_O v)))>
#<alt (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_O)) (+.f32 (/.f32 (log.f32 #s(literal 1/2 binary32)) cosTheta_O) (/.f32 (log.f32 (/.f32 #s(literal 1 binary32) v)) cosTheta_O))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_O v)))>
#<alt (/.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v)))) cosTheta_O)>
#<alt (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_O)) (+.f32 (/.f32 (log.f32 #s(literal -1/2 binary32)) cosTheta_O) (/.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) cosTheta_O))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_O v)))>
#<alt (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_O)) (+.f32 (/.f32 (log.f32 #s(literal -1/2 binary32)) cosTheta_O) (/.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) cosTheta_O))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_O v)))>
#<alt (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_O)) (+.f32 (/.f32 (log.f32 #s(literal -1/2 binary32)) cosTheta_O) (/.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) cosTheta_O))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_O v)))>
#<alt (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)) cosTheta_O)>
#<alt (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)) cosTheta_O)>
#<alt (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)) cosTheta_O)>
#<alt (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)) cosTheta_O)>
#<alt (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)) cosTheta_O)>
#<alt (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)) cosTheta_O)>
#<alt (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)) cosTheta_O)>
#<alt (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)) cosTheta_O)>
#<alt (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)) cosTheta_O)>
#<alt (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)) cosTheta_O)>
#<alt (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)) cosTheta_O)>
#<alt (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)) cosTheta_O)>
#<alt (/.f32 #s(literal -1 binary32) v)>
#<alt (/.f32 (-.f32 (*.f32 v (+.f32 (log.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 v)))) #s(literal 1 binary32)) v)>
#<alt (/.f32 (-.f32 (*.f32 v (+.f32 (log.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 v)))) #s(literal 1 binary32)) v)>
#<alt (/.f32 (-.f32 (*.f32 v (+.f32 (log.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 v)))) #s(literal 1 binary32)) v)>
#<alt (+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) v)))>
#<alt (-.f32 (+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 binary32) v))>
#<alt (-.f32 (+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 binary32) v))>
#<alt (-.f32 (+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 binary32) v))>
#<alt (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v)))>
#<alt (-.f32 (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))) (/.f32 #s(literal 1 binary32) v))>
#<alt (-.f32 (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))) (/.f32 #s(literal 1 binary32) v))>
#<alt (-.f32 (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))) (/.f32 #s(literal 1 binary32) v))>
#<alt (/.f32 #s(literal -1 binary32) v)>
#<alt (/.f32 (-.f32 (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 v))))) #s(literal 1 binary32)) v)>
#<alt (/.f32 (-.f32 (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 v))))) #s(literal 1 binary32)) v)>
#<alt (/.f32 (-.f32 (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 v))))) #s(literal 1 binary32)) v)>
#<alt (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 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)) (log.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(literal 1 binary32) v))>
#<alt (-.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) v))>
#<alt (-.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) v))>
#<alt (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1/2 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)) (log.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 #s(literal 1 binary32) v))>
#<alt (-.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) v))>
#<alt (-.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) v))>
Calls

57 calls:

TimeVariablePointExpression
13.0ms
cosTheta_O
@0
(/ (+ 6931/10000 (+ (log (/ 1/2 v)) (/ -1 v))) cosTheta_O)
11.0ms
cosTheta_O
@inf
(/ (+ 6931/10000 (+ (log (/ 1/2 v)) (/ -1 v))) cosTheta_O)
3.0ms
cosTheta_O
@0
(* (- (/ cosTheta_i (neg v)) (/ (+ 6931/10000 (+ (log (/ 1/2 v)) (/ -1 v))) cosTheta_O)) (neg cosTheta_O))
2.0ms
cosTheta_i
@0
(* (- (/ cosTheta_i (neg v)) (/ (+ 6931/10000 (+ (log (/ 1/2 v)) (/ -1 v))) cosTheta_O)) (neg cosTheta_O))
2.0ms
v
@0
(* (- (/ cosTheta_i (neg v)) (/ (+ 6931/10000 (+ (log (/ 1/2 v)) (/ -1 v))) cosTheta_O)) (neg cosTheta_O))

rewrite123.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
384×log1p-expm1-u
384×expm1-log1p-u
377×add-exp-log
375×add-log-exp
373×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
047363
1851359
Stop Event
1×node limit
Counts
10 → 188
Calls
Call 1
Inputs
(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) #s(literal 6931/10000 binary32))))
(-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(exp.f32 (/.f32 #s(literal -1 binary32) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v)))
(exp.f32 (/.f32 #s(literal 1 binary32) v))
(*.f32 (-.f32 (/.f32 cosTheta_i (neg.f32 v)) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal -1 binary32) v))) cosTheta_O)) (neg.f32 cosTheta_O))
(/.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal -1 binary32) v))) cosTheta_O)
(+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal -1 binary32) v))
(+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal -1 binary32) v)))
Outputs
(-.f32 (exp.f32 (log1p.f32 (exp.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (exp.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))
(*.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)) (pow.f32 (E.f32) (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))
(*.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)) (exp.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))
(*.f32 (pow.f32 (cbrt.f32 (exp.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))) #s(literal 2 binary32)) (cbrt.f32 (exp.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))))
(*.f32 (sqrt.f32 (exp.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))) (sqrt.f32 (exp.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))))
(*.f32 (pow.f32 (E.f32) (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v))) (pow.f32 (E.f32) #s(literal 6931/10000 binary32)))
(*.f32 (pow.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) #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) #s(literal -6931/10000 binary32)))))
(*.f32 (pow.f32 (cbrt.f32 (exp.f32 #s(literal 2 binary32))) (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))) (pow.f32 (cbrt.f32 (E.f32)) (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))
(*.f32 (pow.f32 (sqrt.f32 (E.f32)) (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))) (pow.f32 (sqrt.f32 (E.f32)) (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))
(*.f32 (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 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)) (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
(log.f32 (exp.f32 (exp.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (exp.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))))
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(*.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) (/.f32 #s(literal 1 binary32) cosTheta_O))
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(*.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) cosTheta_O)) (sqrt.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) cosTheta_O)))
(pow.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) cosTheta_O) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) cosTheta_O)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) cosTheta_O) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) cosTheta_O)) #s(literal 2 binary32))
(pow.f32 (/.f32 cosTheta_O (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))) #s(literal -1 binary32))
(log.f32 (exp.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) cosTheta_O)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) cosTheta_O))))
(cbrt.f32 (pow.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) cosTheta_O) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) cosTheta_O)))
(log1p.f32 (expm1.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) cosTheta_O)))
(exp.f32 (log.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) cosTheta_O)))
(exp.f32 (*.f32 (log.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) cosTheta_O)) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))
(*.f32 (pow.f32 (cbrt.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) #s(literal 2 binary32)) (cbrt.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
(*.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) (sqrt.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
(/.f32 (-.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 2 binary32)) (pow.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32))) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal -1 binary32) v)))
(/.f32 (+.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32)) (*.f32 #s(literal -1 binary32) (pow.f32 v #s(literal -3 binary32)))) (+.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 2 binary32)) (-.f32 (pow.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32)) (*.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal -1 binary32) v)))))
(pow.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) #s(literal 2 binary32))
(log.f32 (*.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))))
(cbrt.f32 (pow.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
(log1p.f32 (expm1.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
(exp.f32 (log.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
(exp.f32 (*.f32 (log.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
(fma.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal -1 binary32) v))
(fma.f32 #s(literal -1 binary32) (/.f32 #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 -1 binary32) v))
(fma.f32 (pow.f32 (cbrt.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)) (cbrt.f32 (/.f32 #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 -1 binary32) v))
(fma.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) v)) (sqrt.f32 (/.f32 #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 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
(*.f32 (pow.f32 (cbrt.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))) #s(literal 2 binary32)) (cbrt.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))))
(*.f32 (sqrt.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))) (sqrt.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))))
(/.f32 (-.f32 #s(literal 48038761/100000000 binary32) (pow.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 2 binary32))) (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
(/.f32 (+.f32 #s(literal 332956652491/1000000000000 binary32) (pow.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 3 binary32))) (+.f32 #s(literal 48038761/100000000 binary32) (-.f32 (pow.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 2 binary32)) (*.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))))
(pow.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))) #s(literal 2 binary32))
(log.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))))
(cbrt.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))))
(log1p.f32 (expm1.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))))
(exp.f32 (log.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))))
(exp.f32 (*.f32 (log.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))) #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 6931/10000 binary32))
(fma.f32 (pow.f32 (cbrt.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) #s(literal 2 binary32)) (cbrt.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) #s(literal 6931/10000 binary32))
(fma.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) (sqrt.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) #s(literal 6931/10000 binary32))

simplify765.0ms (4.6%)

Algorithm
1×egg-herbie
Rules
836×fma-neg
746×associate-*r*
634×fma-define
628×associate-*l*
570×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
077221190
1198119540
2668019530
Stop Event
1×node limit
Counts
390 → 438
Calls
Call 1
Inputs
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) 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) (+.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 #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) (+.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))))
(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 (+.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 (+.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 (+.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 (+.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 (+.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 (+.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 (+.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 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) 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) (+.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) (+.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))))
(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 (+.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 (+.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 (+.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 (+.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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(pow.f32 (cbrt.f32 (*.f32 (-.f32 (/.f32 cosTheta_i (neg.f32 v)) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) cosTheta_O)) (neg.f32 cosTheta_O))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 (-.f32 (/.f32 cosTheta_i (neg.f32 v)) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) cosTheta_O)) (neg.f32 cosTheta_O)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 (-.f32 (/.f32 cosTheta_i (neg.f32 v)) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) cosTheta_O)) (neg.f32 cosTheta_O))) #s(literal 2 binary32))
(neg.f32 (*.f32 (-.f32 (/.f32 cosTheta_i (neg.f32 v)) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) cosTheta_O)) cosTheta_O))
(log.f32 (pow.f32 (exp.f32 (neg.f32 cosTheta_O)) (-.f32 (/.f32 cosTheta_i (neg.f32 v)) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) cosTheta_O))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (-.f32 (/.f32 cosTheta_i (neg.f32 v)) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) cosTheta_O)) (neg.f32 cosTheta_O)))))
(cbrt.f32 (pow.f32 (*.f32 (-.f32 (/.f32 cosTheta_i (neg.f32 v)) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) cosTheta_O)) (neg.f32 cosTheta_O)) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (-.f32 (/.f32 cosTheta_i (neg.f32 v)) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) cosTheta_O)) #s(literal 3 binary32)) (pow.f32 (neg.f32 cosTheta_O) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (neg.f32 cosTheta_O) #s(literal 3 binary32)) (pow.f32 (-.f32 (/.f32 cosTheta_i (neg.f32 v)) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) cosTheta_O)) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 (-.f32 (/.f32 cosTheta_i (neg.f32 v)) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) cosTheta_O)) (neg.f32 cosTheta_O))))
(log1p.f32 (expm1.f32 (*.f32 (-.f32 (/.f32 cosTheta_i (neg.f32 v)) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) cosTheta_O)) (neg.f32 cosTheta_O))))
(exp.f32 (log.f32 (*.f32 (-.f32 (/.f32 cosTheta_i (neg.f32 v)) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) cosTheta_O)) (neg.f32 cosTheta_O))))
(exp.f32 (*.f32 (log.f32 (*.f32 (-.f32 (/.f32 cosTheta_i (neg.f32 v)) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) cosTheta_O)) (neg.f32 cosTheta_O))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) cosTheta_O))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) cosTheta_O))
(*.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) (/.f32 #s(literal 1 binary32) cosTheta_O))
(*.f32 (pow.f32 (cbrt.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) cosTheta_O)) #s(literal 2 binary32)) (cbrt.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) cosTheta_O)))
(*.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) cosTheta_O)) (sqrt.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) cosTheta_O)))
(pow.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) cosTheta_O) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) cosTheta_O)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) cosTheta_O) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) cosTheta_O)) #s(literal 2 binary32))
(pow.f32 (/.f32 cosTheta_O (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))) #s(literal -1 binary32))
(log.f32 (exp.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) cosTheta_O)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) cosTheta_O))))
(cbrt.f32 (pow.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) cosTheta_O) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) cosTheta_O)))
(log1p.f32 (expm1.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) cosTheta_O)))
(exp.f32 (log.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) cosTheta_O)))
(exp.f32 (*.f32 (log.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) cosTheta_O)) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))
(*.f32 (pow.f32 (cbrt.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) #s(literal 2 binary32)) (cbrt.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
(*.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) (sqrt.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
(/.f32 (-.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 2 binary32)) (pow.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32))) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal -1 binary32) v)))
(/.f32 (+.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32)) (*.f32 #s(literal -1 binary32) (pow.f32 v #s(literal -3 binary32)))) (+.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 2 binary32)) (-.f32 (pow.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32)) (*.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal -1 binary32) v)))))
(pow.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) #s(literal 2 binary32))
(log.f32 (*.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))))
(cbrt.f32 (pow.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
(log1p.f32 (expm1.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
(exp.f32 (log.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
(exp.f32 (*.f32 (log.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
(fma.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal -1 binary32) v))
(fma.f32 #s(literal -1 binary32) (/.f32 #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 -1 binary32) v))
(fma.f32 (pow.f32 (cbrt.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)) (cbrt.f32 (/.f32 #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 -1 binary32) v))
(fma.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) v)) (sqrt.f32 (/.f32 #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 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
(*.f32 (pow.f32 (cbrt.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))) #s(literal 2 binary32)) (cbrt.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))))
(*.f32 (sqrt.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))) (sqrt.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))))
(/.f32 (-.f32 #s(literal 48038761/100000000 binary32) (pow.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 2 binary32))) (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
(/.f32 (+.f32 #s(literal 332956652491/1000000000000 binary32) (pow.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 3 binary32))) (+.f32 #s(literal 48038761/100000000 binary32) (-.f32 (pow.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 2 binary32)) (*.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))))
(pow.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))) #s(literal 2 binary32))
(log.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))))
(cbrt.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))))
(log1p.f32 (expm1.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))))
(exp.f32 (log.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))))
(exp.f32 (*.f32 (log.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))) #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 6931/10000 binary32))
(fma.f32 (pow.f32 (cbrt.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) #s(literal 2 binary32)) (cbrt.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) #s(literal 6931/10000 binary32))
(fma.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) (sqrt.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) #s(literal 6931/10000 binary32))
Outputs
(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) (+.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 sinTheta_O (/.f32 sinTheta_i 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) (+.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))) (*.f32 cosTheta_O (*.f32 cosTheta_i (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))) v))))
(fma.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)))) (/.f32 cosTheta_i 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 #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 (/.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) (+.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))) (*.f32 cosTheta_i (fma.f32 #s(literal 1/2 binary32) (*.f32 (pow.f32 cosTheta_O #s(literal 2 binary32)) (/.f32 (*.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))) cosTheta_i) (pow.f32 v #s(literal 2 binary32)))) (*.f32 cosTheta_O (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))) v)))))
(fma.f32 cosTheta_i (fma.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) (*.f32 (pow.f32 cosTheta_O #s(literal 2 binary32)) (*.f32 (*.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))) (/.f32 cosTheta_i (pow.f32 v #s(literal 2 binary32)))) #s(literal 1/2 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_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))))
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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 cosTheta_O (/.f32 cosTheta_i v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))))
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(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (*.f32 cosTheta_O (/.f32 cosTheta_i v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) 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 (+.f32 #s(literal 6931/10000 binary32) (*.f32 cosTheta_O (/.f32 cosTheta_i v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))))
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(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (*.f32 cosTheta_O (/.f32 cosTheta_i v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) 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 (+.f32 #s(literal 6931/10000 binary32) (*.f32 cosTheta_O (/.f32 cosTheta_i v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) 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 (+.f32 #s(literal 6931/10000 binary32) (*.f32 cosTheta_O (/.f32 cosTheta_i v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) 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 (+.f32 #s(literal 6931/10000 binary32) (*.f32 cosTheta_O (/.f32 cosTheta_i v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v))))
(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) (+.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))))
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))))
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(fma.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)))) (/.f32 cosTheta_i 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))))
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(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (*.f32 cosTheta_O (/.f32 cosTheta_i v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v))))
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(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (*.f32 cosTheta_O (/.f32 cosTheta_i v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) 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 (+.f32 #s(literal 6931/10000 binary32) (*.f32 cosTheta_O (/.f32 cosTheta_i v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_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 #s(literal 6931/10000 binary32) (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 #s(literal 1 binary32) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (/.f32 #s(literal -1 binary32) v))))
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(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
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(-.f32 (+.f32 #s(literal 6931/10000 binary32) (*.f32 cosTheta_O (-.f32 (/.f32 (log.f32 #s(literal 1/2 binary32)) cosTheta_O) (/.f32 (log.f32 v) cosTheta_O)))) (/.f32 (fma.f32 cosTheta_O (neg.f32 cosTheta_i) #s(literal 1 binary32)) v))
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(-.f32 (+.f32 #s(literal 6931/10000 binary32) (*.f32 cosTheta_O (-.f32 (/.f32 (log.f32 #s(literal 1/2 binary32)) cosTheta_O) (/.f32 (log.f32 v) cosTheta_O)))) (/.f32 (fma.f32 cosTheta_O (neg.f32 cosTheta_i) #s(literal 1 binary32)) v))
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(fma.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) v)) (sqrt.f32 (/.f32 #s(literal -1 binary32) v)) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
(+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal -1 binary32) v))
(-.f32 (exp.f32 (log1p.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))) #s(literal 1 binary32))
(expm1.f32 (log1p.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal -1 binary32) v)))))
(+.f32 #s(literal -1 binary32) (+.f32 #s(literal 16931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal -1 binary32) v))))
(*.f32 #s(literal 1 binary32) (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
(+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal -1 binary32) v)))
(+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
(*.f32 (pow.f32 (cbrt.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))) #s(literal 2 binary32)) (cbrt.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))))
(+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal -1 binary32) v)))
(+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
(*.f32 (sqrt.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))) (sqrt.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))))
(+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal -1 binary32) v)))
(+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
(/.f32 (-.f32 #s(literal 48038761/100000000 binary32) (pow.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 2 binary32))) (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
(/.f32 (-.f32 #s(literal 48038761/100000000 binary32) (pow.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32))) (-.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal -1 binary32) v))))
(/.f32 (-.f32 #s(literal 48038761/100000000 binary32) (pow.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32))) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))
(/.f32 (+.f32 #s(literal 332956652491/1000000000000 binary32) (pow.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 3 binary32))) (+.f32 #s(literal 48038761/100000000 binary32) (-.f32 (pow.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 2 binary32)) (*.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))))
(/.f32 (+.f32 #s(literal 332956652491/1000000000000 binary32) (pow.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal -1 binary32) v)) #s(literal 3 binary32))) (+.f32 #s(literal 48038761/100000000 binary32) (+.f32 (pow.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)) (*.f32 #s(literal -6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal -1 binary32) v))))))
(/.f32 (+.f32 #s(literal 332956652491/1000000000000 binary32) (pow.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal -1 binary32) v)) #s(literal 3 binary32))) (+.f32 #s(literal 48038761/100000000 binary32) (*.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal -1 binary32) v)) (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal -1 binary32) v)) #s(literal 6931/10000 binary32)))))
(pow.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) #s(literal 1 binary32))
(+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal -1 binary32) v)))
(+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
(pow.f32 (cbrt.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))) #s(literal 3 binary32))
(+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal -1 binary32) v)))
(+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
(pow.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal -1 binary32) v)))
(+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
(pow.f32 (sqrt.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))) #s(literal 2 binary32))
(+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal -1 binary32) v)))
(+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
(log.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))))
(+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal -1 binary32) v)))
(+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))))
(+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal -1 binary32) v)))
(+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
(cbrt.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) #s(literal 3 binary32)))
(+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal -1 binary32) v)))
(+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
(expm1.f32 (log1p.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))))
(expm1.f32 (log1p.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal -1 binary32) v)))))
(+.f32 #s(literal -1 binary32) (+.f32 #s(literal 16931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal -1 binary32) v))))
(log1p.f32 (expm1.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))))
(+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal -1 binary32) v)))
(+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
(exp.f32 (log.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))))
(+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal -1 binary32) v)))
(+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
(exp.f32 (*.f32 (log.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))) #s(literal 1 binary32)))
(+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal -1 binary32) v)))
(+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
(fma.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 6931/10000 binary32))
(+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal -1 binary32) v)))
(+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
(fma.f32 (pow.f32 (cbrt.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) #s(literal 2 binary32)) (cbrt.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) #s(literal 6931/10000 binary32))
(+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal -1 binary32) v)))
(+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
(fma.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) (sqrt.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) #s(literal 6931/10000 binary32))
(+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal -1 binary32) v)))
(+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))

eval295.0ms (1.8%)

Compiler

Compiled 15507 to 9420 computations (39.3% saved)

prune168.0ms (1%)

Pruning

14 alts after pruning (9 fresh and 5 done)

PrunedKeptTotal
New6178625
Fresh213
Picked235
Done022
Total62114635
Accuracy
99.9%
Counts
635 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.2%
(pow.f32 (E.f32) (/.f32 #s(literal -1 binary32) v))
38.8%
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
99.6%
(/.f32 (*.f32 #s(literal 1/2 binary32) (pow.f32 (cbrt.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v)) #s(literal 3 binary32))) (exp.f32 (/.f32 #s(literal 1 binary32) v)))
99.6%
(/.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v)) (pow.f32 (E.f32) (/.f32 #s(literal 1 binary32) v)))
✓99.6%
(/.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v)))
6.3%
(-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
✓6.2%
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
99.8%
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
6.2%
(*.f32 cosTheta_i (+.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) (/.f32 cosTheta_O v)))
17.8%
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
6.2%
(*.f32 cosTheta_O (+.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) (/.f32 cosTheta_i v)))
✓98.2%
(exp.f32 (/.f32 #s(literal -1 binary32) v))
✓99.8%
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))
✓6.4%
#s(literal 1 binary32)
Compiler

Compiled 575 to 392 computations (31.8% saved)

regimes77.0ms (0.5%)

Counts
34 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(*.f32 cosTheta_O (+.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) (/.f32 cosTheta_i v)))
(*.f32 cosTheta_i (+.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) (/.f32 cosTheta_O v)))
(exp.f32 (/.f32 #s(literal -1 binary32) v))
(pow.f32 (E.f32) (/.f32 #s(literal -1 binary32) v))
(exp.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) 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 (/.f32 sinTheta_O v) (neg.f32 sinTheta_i)))
(exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 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 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v)) (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 (neg.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v)) (pow.f32 (E.f32) (/.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)))
(*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1 binary32) v))))
(exp.f32 (*.f32 (-.f32 (/.f32 cosTheta_i (neg.f32 v)) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal -1 binary32) v))) cosTheta_O)) (neg.f32 cosTheta_O)))
(*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v))))
(*.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 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))))
(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) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v)) (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))))
(/.f32 (*.f32 #s(literal 1/2 binary32) (pow.f32 (cbrt.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v)) #s(literal 3 binary32))) (exp.f32 (/.f32 #s(literal 1 binary32) v)))
Outputs
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))
Calls

9 calls:

10.0ms
sinTheta_O
10.0ms
(+.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
cosTheta_O
9.0ms
sinTheta_i
9.0ms
cosTheta_i
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)

regimes32.0ms (0.2%)

Counts
20 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(*.f32 cosTheta_O (+.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) (/.f32 cosTheta_i v)))
(*.f32 cosTheta_i (+.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) (/.f32 cosTheta_O v)))
(exp.f32 (/.f32 #s(literal -1 binary32) v))
(pow.f32 (E.f32) (/.f32 #s(literal -1 binary32) v))
(exp.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) 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 (/.f32 sinTheta_O v) (neg.f32 sinTheta_i)))
(exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 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))))
Outputs
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) v))
Calls

5 calls:

7.0ms
v
6.0ms
sinTheta_i
6.0ms
cosTheta_i
6.0ms
cosTheta_O
6.0ms
sinTheta_O
Results
AccuracySegmentsBranch
99.8%1cosTheta_i
99.8%1cosTheta_O
99.8%1sinTheta_i
99.8%1sinTheta_O
99.8%1v
Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes163.0ms (1%)

Counts
16 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(*.f32 cosTheta_O (+.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) (/.f32 cosTheta_i v)))
(*.f32 cosTheta_i (+.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) (/.f32 cosTheta_O v)))
(exp.f32 (/.f32 #s(literal -1 binary32) v))
(pow.f32 (E.f32) (/.f32 #s(literal -1 binary32) v))
(exp.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) 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 (/.f32 sinTheta_O v) (neg.f32 sinTheta_i)))
(exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))
Outputs
(pow.f32 (E.f32) (/.f32 #s(literal -1 binary32) v))
Calls

5 calls:

143.0ms
cosTheta_O
5.0ms
sinTheta_O
5.0ms
cosTheta_i
5.0ms
v
5.0ms
sinTheta_i
Results
AccuracySegmentsBranch
98.2%1cosTheta_i
98.2%1cosTheta_O
98.2%1sinTheta_i
98.2%1sinTheta_O
98.2%1v
Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes50.0ms (0.3%)

Counts
8 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(*.f32 cosTheta_O (+.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) (/.f32 cosTheta_i v)))
(*.f32 cosTheta_i (+.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) (/.f32 cosTheta_O v)))
(exp.f32 (/.f32 #s(literal -1 binary32) v))
Outputs
(exp.f32 (/.f32 #s(literal -1 binary32) v))
Calls

5 calls:

23.0ms
v
17.0ms
cosTheta_i
3.0ms
sinTheta_O
3.0ms
sinTheta_i
3.0ms
cosTheta_O
Results
AccuracySegmentsBranch
98.2%1cosTheta_i
98.2%1cosTheta_O
98.2%1sinTheta_i
98.2%1sinTheta_O
98.2%1v
Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes45.0ms (0.3%)

Counts
7 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(*.f32 cosTheta_O (+.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) (/.f32 cosTheta_i v)))
(*.f32 cosTheta_i (+.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) (/.f32 cosTheta_O v)))
Outputs
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
Calls

5 calls:

34.0ms
cosTheta_i
3.0ms
v
3.0ms
sinTheta_O
3.0ms
sinTheta_i
2.0ms
cosTheta_O
Results
AccuracySegmentsBranch
38.8%1cosTheta_i
38.8%1cosTheta_O
38.8%1sinTheta_i
38.8%1sinTheta_O
38.8%1v
Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes8.0ms (0%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
Outputs
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
Calls

5 calls:

1.0ms
cosTheta_O
1.0ms
sinTheta_O
1.0ms
sinTheta_i
1.0ms
cosTheta_i
1.0ms
v
Results
AccuracySegmentsBranch
17.8%1cosTheta_i
17.8%1cosTheta_O
17.8%1v
17.8%1sinTheta_O
17.8%1sinTheta_i
Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes44.0ms (0.3%)

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:

39.0ms
v
1.0ms
sinTheta_O
1.0ms
cosTheta_O
1.0ms
sinTheta_i
1.0ms
cosTheta_i
Results
AccuracySegmentsBranch
6.4%1cosTheta_i
6.4%1cosTheta_O
6.4%1sinTheta_O
6.4%1v
6.4%1sinTheta_i
Compiler

Compiled 30 to 25 computations (16.7% saved)

simplify7.0ms (0%)

Algorithm
1×egg-herbie
Rules
12×*-commutative
10×+-commutative
8×sub-neg
6×neg-sub0
6×neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032151
145151
252151
358151
468151
570151
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(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 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) v))
(pow.f32 (E.f32) (/.f32 #s(literal -1 binary32) v))
(exp.f32 (/.f32 #s(literal -1 binary32) v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
#s(literal 1 binary32)
Outputs
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) 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 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) v))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) v))
(pow.f32 (E.f32) (/.f32 #s(literal -1 binary32) v))
(exp.f32 (/.f32 #s(literal -1 binary32) v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
#s(literal 1 binary32)
Compiler

Compiled 76 to 64 computations (15.8% saved)

soundness1.3s (8%)

Rules
1590×exp-diff
1500×times-frac
1482×associate-*r*
1292×fma-define
1044×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
035465
1518432
27461432
047363
1851359
01732130
14851898
214481854
357471854
0107156980
1311453700
077221190
1198119540
2668019530
097621900
1255419977
Stop Event
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 564 to 336 computations (40.4% saved)

end0.0ms (0%)

preprocess77.0ms (0.5%)

Remove

(sort sinTheta_i sinTheta_O)

(sort cosTheta_i cosTheta_O)

Compiler

Compiled 664 to 560 computations (15.7% saved)

Profiling

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