HairBSDF, Mp, lower

Time bar (total: 13.8s)

analyze1.1s (8.3%)

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: 308.0ms
Operation ival-<=, time spent: 80.0ms, 26.0% of total-time
Operation ival-mult, time spent: 55.0ms, 18.0% of total-time
Operation ival-div, time spent: 45.0ms, 15.0% of total-time
Operation ival-add, time spent: 30.0ms, 10.0% of total-time
Operation ival-sub, time spent: 22.0ms, 7.0% of total-time
Operation ival-log, time spent: 21.0ms, 7.0% of total-time
Operation ival-exp, time spent: 20.0ms, 7.0% of total-time
Operation ival-and, time spent: 20.0ms, 7.0% of total-time
Operation const, time spent: 16.0ms, 5.0% of total-time

sample4.2s (30.7%)

Results
3.8s8255×256valid
44.0ms141×256invalid
0.0ms1×256valid
Precisions
Click to see histograms. Total time spent on operations: 1.6s
Operation ival-<=, time spent: 403.0ms, 25.0% of total-time
Operation ival-div, time spent: 350.0ms, 21.0% of total-time
Operation ival-mult, time spent: 208.0ms, 13.0% of total-time
Operation ival-log, time spent: 207.0ms, 13.0% of total-time
Operation ival-sub, time spent: 132.0ms, 8.0% of total-time
Operation ival-add, time spent: 114.0ms, 7.0% of total-time
Operation ival-and, time spent: 82.0ms, 5.0% of total-time
Operation ival-exp, time spent: 74.0ms, 5.0% of total-time
Operation const, time spent: 63.0ms, 4.0% of total-time
Bogosity

preprocess632.0ms (4.6%)

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
1004(3.555112768394116e-36 2.9970709597096256e-32 -4.397701387076625e-12 1.8477503541818433e-30 1.3680959088314716e-23)31(-8.27360475920906e-27 2.4444037029021366e-18 2.34010435863993e-33 0.024078603833913803 8.241962428372382e-29)(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
953(-5.62002591206613e-15 -6.422839238319391e-27 2.9209719945051885e-30 5.0986172634725575e-26 1.7844140054457114e-10)34(-5.855838924873069e-9 -2.760249293925842e-16 -1.9920149441077228e-7 -9.544089460025034e-35 7.905897209678839e-15)(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
18(-1.1622973145178957e-33 1.4771903136455758e-28 -0.0003593333822209388 7.592144079975389e-24 0.00392213324084878)1(2.744585700202584e-13 5.2043975301785395e-5 -6.612121410398686e-7 0.2580871880054474 0.025949474424123764)(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)))))
10-0-(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-(*.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: 151.0ms
Operation ival-div, time spent: 55.0ms, 36.0% of total-time
Operation ival-log, time spent: 28.0ms, 19.0% of total-time
Operation ival-mult, time spent: 27.0ms, 18.0% of total-time
Operation ival-sub, time spent: 15.0ms, 10.0% of total-time
Operation ival-add, time spent: 15.0ms, 10.0% of total-time
Operation const, time spent: 6.0ms, 4.0% of total-time
Operation ival-exp, time spent: 4.0ms, 3.0% of total-time

eval5.0ms (0%)

Compiler

Compiled 91 to 53 computations (41.8% saved)

prune2.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.4%
(*.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))))
▶99.4%
(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)

localize419.0ms (3%)

Localize:

Found 8 expressions with local error:

NewAccuracyProgram
✓99.9%
(+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #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)))
✓99.6%
(*.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))))
✓99.4%
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
✓99.8%
(exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
✓99.6%
(log.f32 (/.f32 #s(literal 1/2 binary32) v))
✓99.4%
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
✓99.4%
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
Compiler

Compiled 216 to 90 computations (58.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 144.0ms
Operation ival-div, time spent: 43.0ms, 30.0% of total-time
Operation ival-add, time spent: 26.0ms, 18.0% of total-time
Operation composed, time spent: 21.0ms, 15.0% of total-time
Operation ival-log, time spent: 17.0ms, 12.0% of total-time
Operation ival-mult, time spent: 15.0ms, 10.0% of total-time
Operation ival-sub, time spent: 10.0ms, 7.0% of total-time
Operation ival-exp, time spent: 6.0ms, 4.0% of total-time
Operation const, time spent: 4.0ms, 3.0% of total-time

series131.0ms (0.9%)

Counts
8 → 360
Calls
Call 1
Inputs
#<alt (*.f32 sinTheta_i (/.f32 sinTheta_O v))>
#<alt (*.f32 cosTheta_i (/.f32 cosTheta_O v))>
#<alt (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 (*.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))))>
#<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))>
Outputs
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (+.f32 (log.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 v)))>
#<alt (+.f32 (log.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 v)))>
#<alt (+.f32 (log.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 v)))>
#<alt (+.f32 (log.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 v)))>
#<alt (+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.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 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.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 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.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 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v)))>
#<alt (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.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 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))>
#<alt (+.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))) v))>
#<alt (+.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) (*.f32 cosTheta_i (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (pow.f32 cosTheta_O #s(literal 2 binary32)) (*.f32 cosTheta_i (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))) (pow.f32 v #s(literal 2 binary32)))) (/.f32 (*.f32 cosTheta_O (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) v))))>
#<alt (+.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) (*.f32 cosTheta_i (+.f32 (*.f32 cosTheta_i (+.f32 (*.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 (pow.f32 cosTheta_O #s(literal 3 binary32)) (*.f32 cosTheta_i (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))) (pow.f32 v #s(literal 3 binary32)))) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (pow.f32 cosTheta_O #s(literal 2 binary32)) (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) (pow.f32 v #s(literal 2 binary32)))))) (/.f32 (*.f32 cosTheta_O (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) v))))>
#<alt (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))>
#<alt (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))>
#<alt (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))>
#<alt (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))>
#<alt (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))>
#<alt (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))>
#<alt (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))>
#<alt (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))>
#<alt (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))>
#<alt (+.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))) v))>
#<alt (+.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) (*.f32 cosTheta_O (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta_O (*.f32 (pow.f32 cosTheta_i #s(literal 2 binary32)) (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))) (pow.f32 v #s(literal 2 binary32)))) (/.f32 (*.f32 cosTheta_i (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) v))))>
#<alt (+.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) (*.f32 cosTheta_O (+.f32 (*.f32 cosTheta_O (+.f32 (*.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 cosTheta_O (*.f32 (pow.f32 cosTheta_i #s(literal 3 binary32)) (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))) (pow.f32 v #s(literal 3 binary32)))) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (pow.f32 cosTheta_i #s(literal 2 binary32)) (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) (pow.f32 v #s(literal 2 binary32)))))) (/.f32 (*.f32 cosTheta_i (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) v))))>
#<alt (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))>
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#<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 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (*.f32 cosTheta_i (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_i)) (/.f32 cosTheta_O v)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_i v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_i v)))))>
#<alt (*.f32 cosTheta_i (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_i)) (/.f32 cosTheta_O v)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_i v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_i v)))))>
#<alt (*.f32 cosTheta_i (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_i)) (/.f32 cosTheta_O v)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_i v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_i v)))))>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 cosTheta_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 cosTheta_O v)) (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) cosTheta_i)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 cosTheta_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 cosTheta_O v)) (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) cosTheta_i)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 cosTheta_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 cosTheta_O v)) (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) cosTheta_i)))))>
#<alt (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (*.f32 cosTheta_O (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_O)) (/.f32 cosTheta_i v)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_O v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_O v)))))>
#<alt (*.f32 cosTheta_O (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_O)) (/.f32 cosTheta_i v)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_O v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_O v)))))>
#<alt (*.f32 cosTheta_O (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_O)) (/.f32 cosTheta_i v)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_O v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_O v)))))>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 cosTheta_O (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 cosTheta_i v)) (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) cosTheta_O)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 cosTheta_O (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 cosTheta_i v)) (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) cosTheta_O)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 cosTheta_O (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 cosTheta_i v)) (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) cosTheta_O)))))>
#<alt (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v)>
#<alt (/.f32 (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) v) (*.f32 cosTheta_O cosTheta_i)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v)>
#<alt (/.f32 (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) v) (*.f32 cosTheta_O cosTheta_i)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v)>
#<alt (/.f32 (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) v) (*.f32 cosTheta_O cosTheta_i)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v)>
#<alt #s(literal 6931/10000 binary32)>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))>
#<alt #s(literal 6931/10000 binary32)>
#<alt (+.f32 #s(literal 6931/10000 binary32) (*.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)))>
#<alt (+.f32 #s(literal 6931/10000 binary32) (*.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)))>
#<alt (+.f32 #s(literal 6931/10000 binary32) (*.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)))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 #s(literal 1 binary32) v))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 #s(literal 1 binary32) v))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 #s(literal 1 binary32) v))>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))>
#<alt (*.f32 sinTheta_i (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) sinTheta_i)) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i v))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_i v)) (/.f32 sinTheta_O v))))>
#<alt (*.f32 sinTheta_i (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) sinTheta_i)) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i v))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_i v)) (/.f32 sinTheta_O v))))>
#<alt (*.f32 sinTheta_i (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) sinTheta_i)) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i v))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_i v)) (/.f32 sinTheta_O v))))>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_i (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)) sinTheta_i)) (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_i (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)) sinTheta_i)) (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_i (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)) sinTheta_i)) (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v)))))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 #s(literal 1 binary32) v))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 #s(literal 1 binary32) v))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 #s(literal 1 binary32) v))>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))>
#<alt (*.f32 sinTheta_O (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) sinTheta_O)) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O v))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_O v)) (/.f32 sinTheta_i v))))>
#<alt (*.f32 sinTheta_O (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) sinTheta_O)) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O v))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_O v)) (/.f32 sinTheta_i v))))>
#<alt (*.f32 sinTheta_O (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) sinTheta_O)) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O v))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_O v)) (/.f32 sinTheta_i v))))>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)) sinTheta_O)) (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_i v)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)) sinTheta_O)) (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_i v)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)) sinTheta_O)) (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_i v)))))>
Calls

90 calls:

TimeVariablePointExpression
30.0ms
v
@0
(log (/ 1/2 v))
19.0ms
v
@-inf
(log (/ 1/2 v))
10.0ms
v
@inf
(log (/ 1/2 v))
5.0ms
v
@-inf
(exp (+ (- (* cosTheta_i (/ cosTheta_O v)) (+ (* sinTheta_i (/ sinTheta_O v)) (/ 1 v))) (+ 6931/10000 (log (/ 1/2 v)))))
3.0ms
cosTheta_i
@0
(exp (+ (- (* cosTheta_i (/ cosTheta_O v)) (+ (* sinTheta_i (/ sinTheta_O v)) (/ 1 v))) 6931/10000))

rewrite374.0ms (2.7%)

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
035394
1518366
27461366
Stop Event
1×node limit
Counts
8 → 233
Calls
Call 1
Inputs
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(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))
(*.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))))
(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))
Outputs
(-.f32 (exp.f32 (log1p.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)))) #s(literal 1 binary32))
(/.f32 sinTheta_i (/.f32 v sinTheta_O))
(/.f32 #s(literal 1 binary32) (/.f32 v (*.f32 sinTheta_i sinTheta_O)))
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(/.f32 (neg.f32 (*.f32 sinTheta_i sinTheta_O)) (neg.f32 v))
(/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) (neg.f32 v))
(/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) (neg.f32 v))
(/.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) v)
(/.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (pow.f32 (cbrt.f32 v) #s(literal 2 binary32))) (cbrt.f32 v))
(/.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (sqrt.f32 v)) (sqrt.f32 v))
(pow.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) sinTheta_i))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)))))
(cbrt.f32 (pow.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v))))
(log1p.f32 (expm1.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v))))
(exp.f32 (log.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v))))
(exp.f32 (*.f32 (log.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)))) #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 v cosTheta_O)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 cosTheta_i) (/.f32 cosTheta_O v)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)))))
(cbrt.f32 (pow.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O))))
(log1p.f32 (expm1.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O))))
(exp.f32 (log.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O))))
(exp.f32 (*.f32 (log.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O))) #s(literal 1 binary32)))
(+.f32 (log.f32 #s(literal 1/2 binary32)) (neg.f32 (log.f32 v)))
(+.f32 #s(literal 0 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 2 binary32))) (log.f32 (cbrt.f32 (/.f32 #s(literal 1/2 binary32) v))))
(+.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1/2 binary32) v))) (log.f32 (sqrt.f32 (/.f32 #s(literal 1/2 binary32) v))))
(-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v))
(-.f32 #s(literal 0 binary32) (log.f32 (*.f32 v #s(literal 2 binary32))))
(-.f32 (exp.f32 (log1p.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) #s(literal 1 binary32))
(-.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (neg.f32 v)))
(*.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
(*.f32 (cbrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (pow.f32 (cbrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 2 binary32)))
(*.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 (sqrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (sqrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))))
(/.f32 (-.f32 (pow.f32 (log.f32 #s(literal 1/2 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 v) #s(literal 3 binary32))) (+.f32 (*.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 #s(literal 1/2 binary32))) (+.f32 (*.f32 (log.f32 v) (log.f32 v)) (*.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v)))))
(/.f32 (-.f32 (*.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 #s(literal 1/2 binary32))) (*.f32 (log.f32 v) (log.f32 v))) (+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v)))
(pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 2 binary32))
(neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32))))
(sqrt.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 2 binary32)))
(cbrt.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))))
(log1p.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) v) #s(literal 1 binary32)))
(exp.f32 (log.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))))
(exp.f32 (*.f32 (log.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))))) #s(literal 1 binary32))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) v))
(*.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) v) (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))))
(*.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))))
(*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))) #s(literal 1 binary32))
(*.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1/2 binary32) v))
(*.f32 (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 #s(literal 6931/10000 binary32))))
(*.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 (pow.f32 (cbrt.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))) (/.f32 #s(literal 1/2 binary32) v)))
(*.f32 (cbrt.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))))) (pow.f32 (cbrt.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))))) #s(literal 2 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))))))
(*.f32 (pow.f32 (cbrt.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))))
(*.f32 (sqrt.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))) (*.f32 (sqrt.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))) (/.f32 #s(literal 1/2 binary32) v)))
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))))) (sqrt.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))))))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1/2 binary32) v)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))))
(*.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))) (/.f32 #s(literal 1 binary32) v))
(*.f32 (/.f32 #s(literal 1/2 binary32) (pow.f32 (cbrt.f32 v) #s(literal 2 binary32))) (/.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) (cbrt.f32 v)))
(*.f32 (/.f32 #s(literal 1/2 binary32) (sqrt.f32 v)) (/.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) (sqrt.f32 v)))
(*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)))) (exp.f32 #s(literal 6931/10000 binary32)))
(*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (cbrt.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))) #s(literal 2 binary32))) (cbrt.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))))
(*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (sqrt.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))))) (sqrt.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))))
(*.f32 (*.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) (pow.f32 (cbrt.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 2 binary32))) (cbrt.f32 (/.f32 #s(literal 1/2 binary32) v)))
(*.f32 (*.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) (sqrt.f32 (/.f32 #s(literal 1/2 binary32) v))) (sqrt.f32 (/.f32 #s(literal 1/2 binary32) v)))
(/.f32 #s(literal 1 binary32) (/.f32 v (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))))))
(/.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) (*.f32 v #s(literal 2 binary32)))
(/.f32 (pow.f32 (exp.f32 cosTheta_i) (/.f32 cosTheta_O v)) (exp.f32 (-.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal -6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))) v)
(/.f32 (neg.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))))) (neg.f32 v))
(/.f32 (*.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) #s(literal -1/2 binary32)) (neg.f32 v))
(/.f32 (*.f32 #s(literal -1/2 binary32) (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))) (neg.f32 v))
(/.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))) #s(literal 1 binary32)) v)
(/.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))) (pow.f32 (cbrt.f32 v) #s(literal 2 binary32))) (cbrt.f32 v))
(/.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))) (sqrt.f32 v)) (sqrt.f32 v))
(pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))))) #s(literal 2 binary32))
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(cbrt.f32 (pow.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))))
(log1p.f32 (expm1.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))))
(-.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal -6931/10000 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 (exp.f32 (log1p.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))) #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 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal -6931/10000 binary32))) (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal -6931/10000 binary32))))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)) (/.f32 #s(literal 1 binary32) v))
(*.f32 #s(literal 1 binary32) (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))
(*.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) #s(literal 1 binary32))
(*.f32 (cbrt.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) (pow.f32 (cbrt.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) #s(literal 2 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) #s(literal 2 binary32)) (cbrt.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))))
(*.f32 (sqrt.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) (sqrt.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))))
(*.f32 (+.f32 #s(literal 332956652491/1000000000000 binary32) (pow.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 3 binary32))) (/.f32 #s(literal 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 #s(literal 48038761/100000000 binary32) (*.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))))))
(*.f32 (+.f32 (pow.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) #s(literal -48038761/100000000 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal -6931/10000 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (-.f32 #s(literal 48038761/100000000 binary32) (*.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))) (+.f32 #s(literal 332956652491/1000000000000 binary32) (pow.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 3 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal -6931/10000 binary32)) (+.f32 (pow.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) #s(literal -48038761/100000000 binary32))))
(/.f32 (+.f32 #s(literal 332956652491/1000000000000 binary32) (pow.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 3 binary32))) (+.f32 (pow.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (-.f32 #s(literal 48038761/100000000 binary32) (*.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))))
(/.f32 (+.f32 #s(literal 332956652491/1000000000000 binary32) (pow.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 3 binary32))) (+.f32 #s(literal 48038761/100000000 binary32) (-.f32 (pow.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (*.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))))
(/.f32 (+.f32 (pow.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) #s(literal -48038761/100000000 binary32)) (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal -6931/10000 binary32)))
(/.f32 (neg.f32 (+.f32 #s(literal 332956652491/1000000000000 binary32) (pow.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 3 binary32)))) (neg.f32 (+.f32 (pow.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (-.f32 #s(literal 48038761/100000000 binary32) (*.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) #s(literal -48038761/100000000 binary32))) (neg.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal -6931/10000 binary32))))
(/.f32 (-.f32 (pow.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) #s(literal 3 binary32)) (pow.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal -6931/10000 binary32)) #s(literal 3 binary32))) (+.f32 (pow.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) #s(literal 2 binary32)) (+.f32 (*.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal -6931/10000 binary32)) (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal -6931/10000 binary32))) (*.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal -6931/10000 binary32))))))
(/.f32 (-.f32 #s(literal 48038761/100000000 binary32) (pow.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (-.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v))))
(/.f32 (-.f32 (pow.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) #s(literal 2 binary32)) (*.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal -6931/10000 binary32)) (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal -6931/10000 binary32)))) (+.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal -6931/10000 binary32))))
(pow.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) #s(literal 2 binary32)))
(log.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))))
(cbrt.f32 (pow.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))))
(log1p.f32 (expm1.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))))
(exp.f32 (log.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))))
(exp.f32 (*.f32 (log.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) #s(literal 1 binary32)))
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) (neg.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal -6931/10000 binary32))))
(fma.f32 (/.f32 cosTheta_O v) cosTheta_i (neg.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal -6931/10000 binary32))))
(fma.f32 #s(literal 1 binary32) (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (neg.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal -6931/10000 binary32))))
(fma.f32 #s(literal 1 binary32) (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))
(fma.f32 (pow.f32 (cbrt.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)) (cbrt.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))
(fma.f32 (pow.f32 (cbrt.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O))) #s(literal 2 binary32)) (cbrt.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O))) (neg.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal -6931/10000 binary32))))
(fma.f32 (sqrt.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v))) (sqrt.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))
(fma.f32 (sqrt.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O))) (sqrt.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O))) (neg.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal -6931/10000 binary32))))

simplify313.0ms (2.3%)

Algorithm
1×egg-herbie
Rules
1352×associate-*r*
1016×fma-define
1010×associate-*l*
740×times-frac
498×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
090943024
1254840940
Stop Event
1×node limit
Counts
593 → 467
Calls
Call 1
Inputs
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(+.f32 (log.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 v)))
(+.f32 (log.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 v)))
(+.f32 (log.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 v)))
(+.f32 (log.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 v)))
(+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) v)))
(+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) v)))
(+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) v)))
(+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) v)))
(+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v)))
(+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v)))
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(fma.f32 (pow.f32 (cbrt.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O))) #s(literal 2 binary32)) (cbrt.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O))) (neg.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal -6931/10000 binary32))))
(fma.f32 (sqrt.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v))) (sqrt.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))
(fma.f32 (sqrt.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O))) (sqrt.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O))) (neg.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal -6931/10000 binary32))))
Outputs
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 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 (log.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 v)))
(-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v))
(+.f32 (log.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 v)))
(-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v))
(+.f32 (log.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 v)))
(-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v))
(+.f32 (log.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 v)))
(-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v))
(+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) v)))
(-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v))
(+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) v)))
(-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v))
(+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) v)))
(-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v))
(+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) v)))
(-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v))
(+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v)))
(+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v)))
(+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v)))
(+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v)))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 (/.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 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 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))) v))
(+.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (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) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))))) v))))
(fma.f32 cosTheta_O (*.f32 cosTheta_i (/.f32 (/.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)))) 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 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) (*.f32 cosTheta_i (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (pow.f32 cosTheta_O #s(literal 2 binary32)) (*.f32 cosTheta_i (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))) (pow.f32 v #s(literal 2 binary32)))) (/.f32 (*.f32 cosTheta_O (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) v))))
(+.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (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 (*.f32 (*.f32 (pow.f32 cosTheta_O #s(literal 2 binary32)) cosTheta_i) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (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) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (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 (*.f32 cosTheta_i (*.f32 (/.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)))) (pow.f32 cosTheta_O #s(literal 2 binary32)))) (pow.f32 v #s(literal 2 binary32))) (*.f32 cosTheta_O (/.f32 (/.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)))) 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 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) (*.f32 cosTheta_i (+.f32 (*.f32 cosTheta_i (+.f32 (*.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 (pow.f32 cosTheta_O #s(literal 3 binary32)) (*.f32 cosTheta_i (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))) (pow.f32 v #s(literal 3 binary32)))) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (pow.f32 cosTheta_O #s(literal 2 binary32)) (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) (pow.f32 v #s(literal 2 binary32)))))) (/.f32 (*.f32 cosTheta_O (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) v))))
(+.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (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) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (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 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))))) (pow.f32 cosTheta_O #s(literal 2 binary32))) (pow.f32 v #s(literal 2 binary32))))) (*.f32 cosTheta_O (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (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 (*.f32 cosTheta_i (*.f32 (/.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)))) (pow.f32 cosTheta_O #s(literal 3 binary32)))) (pow.f32 v #s(literal 3 binary32))) (*.f32 (*.f32 #s(literal 1/2 binary32) (pow.f32 cosTheta_O #s(literal 2 binary32))) (/.f32 (/.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)))) (pow.f32 v #s(literal 2 binary32))))) (*.f32 cosTheta_O (/.f32 (/.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)))) 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)))))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) (fma.f32 sinTheta_i (/.f32 sinTheta_O 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 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (/.f32 #s(literal -1 binary32) v))))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.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 (/.f32 cosTheta_i v)) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) (fma.f32 sinTheta_i (/.f32 sinTheta_O 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 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (/.f32 #s(literal -1 binary32) v))))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.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 (/.f32 cosTheta_i v)) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))))
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(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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(exp.f32 (-.f32 (+.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 6931/10000 binary32)) (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 (+.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 6931/10000 binary32)) (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 (+.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 6931/10000 binary32)) (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 (+.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 6931/10000 binary32)) (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))))
(-.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)))
(-.f32 (+.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 6931/10000 binary32)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))
(+.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)))
(-.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)))
(-.f32 (+.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 6931/10000 binary32)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))
(+.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)))
(-.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)))
(-.f32 (+.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 6931/10000 binary32)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))
(+.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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(*.f32 cosTheta_O (/.f32 cosTheta_i v))
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(*.f32 cosTheta_i (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_i) (-.f32 (/.f32 cosTheta_O v) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 v cosTheta_i)) (*.f32 sinTheta_O (/.f32 sinTheta_i (*.f32 v cosTheta_i)))))))
(*.f32 cosTheta_i (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_i) (-.f32 (/.f32 cosTheta_O v) (fma.f32 sinTheta_O (/.f32 sinTheta_i (*.f32 v cosTheta_i)) (/.f32 #s(literal 1 binary32) (*.f32 v cosTheta_i))))))
(*.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)))))
(*.f32 cosTheta_i (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_i) (-.f32 (/.f32 cosTheta_O v) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 v cosTheta_i)) (*.f32 sinTheta_O (/.f32 sinTheta_i (*.f32 v cosTheta_i)))))))
(*.f32 cosTheta_i (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_i) (-.f32 (/.f32 cosTheta_O v) (fma.f32 sinTheta_O (/.f32 sinTheta_i (*.f32 v cosTheta_i)) (/.f32 #s(literal 1 binary32) (*.f32 v cosTheta_i))))))
(*.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)))))
(*.f32 cosTheta_i (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_i) (-.f32 (/.f32 cosTheta_O v) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 v cosTheta_i)) (*.f32 sinTheta_O (/.f32 sinTheta_i (*.f32 v cosTheta_i)))))))
(*.f32 cosTheta_i (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_i) (-.f32 (/.f32 cosTheta_O v) (fma.f32 sinTheta_O (/.f32 sinTheta_i (*.f32 v cosTheta_i)) (/.f32 #s(literal 1 binary32) (*.f32 v cosTheta_i))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
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(neg.f32 (*.f32 cosTheta_i (fma.f32 #s(literal -1 binary32) (/.f32 cosTheta_O v) (neg.f32 (/.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) cosTheta_i)))))
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(neg.f32 (*.f32 cosTheta_i (fma.f32 #s(literal -1 binary32) (/.f32 cosTheta_O v) (neg.f32 (/.f32 (-.f32 #s(literal 6931/10000 binary32) (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 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))) cosTheta_i))))
(-.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)))
(-.f32 (+.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 6931/10000 binary32)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))
(+.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)))
(-.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)))
(-.f32 (+.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 6931/10000 binary32)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))
(+.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)))
(-.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)))
(-.f32 (+.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 6931/10000 binary32)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))
(+.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)))
(/.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)))))
(*.f32 cosTheta_O (-.f32 (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (/.f32 cosTheta_i v)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 v cosTheta_O)) (*.f32 (/.f32 sinTheta_O cosTheta_O) (/.f32 sinTheta_i v)))))
(*.f32 cosTheta_O (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (-.f32 (/.f32 cosTheta_i v) (fma.f32 (/.f32 sinTheta_O cosTheta_O) (/.f32 sinTheta_i v) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) 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)))))
(*.f32 cosTheta_O (-.f32 (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (/.f32 cosTheta_i v)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 v cosTheta_O)) (*.f32 (/.f32 sinTheta_O cosTheta_O) (/.f32 sinTheta_i v)))))
(*.f32 cosTheta_O (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (-.f32 (/.f32 cosTheta_i v) (fma.f32 (/.f32 sinTheta_O cosTheta_O) (/.f32 sinTheta_i v) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) 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)))))
(*.f32 cosTheta_O (-.f32 (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (/.f32 cosTheta_i v)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 v cosTheta_O)) (*.f32 (/.f32 sinTheta_O cosTheta_O) (/.f32 sinTheta_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_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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(*.f32 cosTheta_O (neg.f32 (-.f32 (/.f32 cosTheta_i (neg.f32 v)) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))) cosTheta_O))))
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(*.f32 (neg.f32 cosTheta_O) (*.f32 #s(literal -1 binary32) (+.f32 (/.f32 cosTheta_i v) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) cosTheta_O))))
(*.f32 cosTheta_O (neg.f32 (-.f32 (/.f32 cosTheta_i (neg.f32 v)) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))) cosTheta_O))))
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(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v)
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)
(/.f32 (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) v) (*.f32 cosTheta_O cosTheta_i)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v)
(/.f32 (-.f32 (fma.f32 #s(literal 6931/10000 binary32) v (*.f32 cosTheta_O cosTheta_i)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v)
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(/.f32 (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) v) (*.f32 cosTheta_O cosTheta_i)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v)
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(/.f32 (-.f32 (fma.f32 #s(literal 6931/10000 binary32) v (*.f32 cosTheta_O cosTheta_i)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v)
(/.f32 (-.f32 (fma.f32 v #s(literal 6931/10000 binary32) (*.f32 cosTheta_O cosTheta_i)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)
#s(literal 6931/10000 binary32)
(-.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)))
(-.f32 (+.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 6931/10000 binary32)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) 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)))
(-.f32 (+.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 6931/10000 binary32)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))
(+.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)))
(-.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)))
(-.f32 (+.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 6931/10000 binary32)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))
(+.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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(-.f32 (+.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 6931/10000 binary32)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))
(+.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 (cbrt.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) #s(literal 3 binary32))
(-.f32 (+.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 6931/10000 binary32)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))
(+.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 (pow.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(-.f32 (+.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 6931/10000 binary32)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))
(+.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 (sqrt.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) #s(literal 2 binary32))
(-.f32 (+.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 6931/10000 binary32)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))
(+.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 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) #s(literal 2 binary32)))
(sqrt.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)))
(fabs.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 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))))
(-.f32 (+.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 6931/10000 binary32)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))
(+.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 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))))
(-.f32 (+.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 6931/10000 binary32)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))
(+.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 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) #s(literal 3 binary32)))
(-.f32 (+.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 6931/10000 binary32)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))
(+.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 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))))
(expm1.f32 (log1p.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (/.f32 #s(literal 1 binary32) v)))))
(+.f32 (+.f32 #s(literal 16931/10000 binary32) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (/.f32 #s(literal -1 binary32) v))) #s(literal -1 binary32))
(log1p.f32 (expm1.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))))
(-.f32 (+.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 6931/10000 binary32)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))
(+.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 (log.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))))
(-.f32 (+.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 6931/10000 binary32)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))
(+.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 (log.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) #s(literal 1 binary32)))
(-.f32 (+.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 6931/10000 binary32)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))
(+.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)))
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) (neg.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal -6931/10000 binary32))))
(-.f32 (+.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 6931/10000 binary32)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))
(+.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)))
(fma.f32 (/.f32 cosTheta_O v) cosTheta_i (neg.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal -6931/10000 binary32))))
(-.f32 (+.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 6931/10000 binary32)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))
(+.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)))
(fma.f32 #s(literal 1 binary32) (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (neg.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal -6931/10000 binary32))))
(-.f32 (+.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 6931/10000 binary32)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))
(+.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)))
(fma.f32 #s(literal 1 binary32) (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))
(-.f32 (+.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 6931/10000 binary32)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))
(+.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)))
(fma.f32 (pow.f32 (cbrt.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)) (cbrt.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))
(-.f32 (+.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 6931/10000 binary32)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))
(+.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)))
(fma.f32 (pow.f32 (cbrt.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O))) #s(literal 2 binary32)) (cbrt.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O))) (neg.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal -6931/10000 binary32))))
(-.f32 (+.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 6931/10000 binary32)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))
(+.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)))
(fma.f32 (sqrt.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v))) (sqrt.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))
(-.f32 (+.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 6931/10000 binary32)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))
(+.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)))
(fma.f32 (sqrt.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O))) (sqrt.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O))) (neg.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal -6931/10000 binary32))))
(-.f32 (+.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 6931/10000 binary32)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))
(+.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)))

eval396.0ms (2.9%)

Compiler

Compiled 18105 to 10278 computations (43.2% saved)

prune105.0ms (0.8%)

Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New48412496
Fresh000
Picked202
Done000
Total48612498
Accuracy
99.9%
Counts
498 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.4%
(pow.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))))) #s(literal 2 binary32))
99.4%
(pow.f32 (cbrt.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))))) #s(literal 3 binary32))
99.4%
(pow.f32 (E.f32) (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
99.4%
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 #s(literal 1 binary32)) (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))))
▶99.4%
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (*.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))))
99.4%
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
▶14.7%
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)))))
4.6%
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)))
99.4%
(*.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))))
▶99.8%
(*.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))
▶4.6%
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v))
▶99.4%
(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)))
Compiler

Compiled 528 to 402 computations (23.9% saved)

localize674.0ms (4.9%)

Localize:

Found 16 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)))
✓99.6%
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (*.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))))
✓86.6%
(/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) 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)))
✓99.8%
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 #s(literal 1 binary32) v))
99.6%
(log.f32 (/.f32 #s(literal 1/2 binary32) v))
✓74.2%
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
✓100.0%
(exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v))))
✓99.4%
(*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)))
✓99.2%
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)))))
✓99.0%
(/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v)
✓100.0%
(+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
✓99.9%
(-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
✓99.8%
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
✓76.8%
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
Compiler

Compiled 319 to 143 computations (55.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 201.0ms
Operation ival-div, time spent: 79.0ms, 39.0% of total-time
Operation ival-exp, time spent: 38.0ms, 19.0% of total-time
Operation ival-log, time spent: 23.0ms, 11.0% of total-time
Operation ival-mult, time spent: 20.0ms, 10.0% of total-time
Operation ival-add, time spent: 18.0ms, 9.0% of total-time
Operation ival-sub, time spent: 14.0ms, 7.0% of total-time
Operation const, time spent: 7.0ms, 3.0% of total-time
Operation ival-neg, time spent: 1.0ms, 0.0% of total-time

series155.0ms (1.1%)

Counts
15 → 464
Calls
Call 1
Inputs
#<alt (/.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 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))>
#<alt (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))>
#<alt (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v)>
#<alt (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)))))>
#<alt (*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)))>
#<alt (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v))))>
#<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 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 #s(literal 1 binary32) v)))>
#<alt (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)>
#<alt (*.f32 (/.f32 #s(literal 1/2 binary32) v) (*.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))))>
#<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 (exp.f32 #s(literal 6931/10000 binary32))>
#<alt (+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v)))>
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#<alt (-.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)))>
#<alt #s(literal 1 binary32)>
#<alt (+.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)))>
#<alt (+.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)))>
#<alt (+.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)))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))>
#<alt (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))>
#<alt (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))>
#<alt (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))>
#<alt (*.f32 cosTheta_O cosTheta_i)>
#<alt (*.f32 cosTheta_i (+.f32 cosTheta_O (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i))))>
#<alt (*.f32 cosTheta_i (+.f32 cosTheta_O (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i))))>
#<alt (*.f32 cosTheta_i (+.f32 cosTheta_O (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i))))>
#<alt (*.f32 cosTheta_O cosTheta_i)>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 cosTheta_i (+.f32 (*.f32 #s(literal -1 binary32) cosTheta_O) (/.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 cosTheta_i (+.f32 (*.f32 #s(literal -1 binary32) cosTheta_O) (/.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 cosTheta_i (+.f32 (*.f32 #s(literal -1 binary32) cosTheta_O) (/.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))>
#<alt (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))>
#<alt (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))>
#<alt (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))>
#<alt (*.f32 cosTheta_O cosTheta_i)>
#<alt (*.f32 cosTheta_O (+.f32 cosTheta_i (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_O))))>
#<alt (*.f32 cosTheta_O (+.f32 cosTheta_i (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_O))))>
#<alt (*.f32 cosTheta_O (+.f32 cosTheta_i (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_O))))>
#<alt (*.f32 cosTheta_O cosTheta_i)>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 cosTheta_O (+.f32 (*.f32 #s(literal -1 binary32) cosTheta_i) (/.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_O))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 cosTheta_O (+.f32 (*.f32 #s(literal -1 binary32) cosTheta_i) (/.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_O))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 cosTheta_O (+.f32 (*.f32 #s(literal -1 binary32) cosTheta_i) (/.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_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_i (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i) sinTheta_O))>
#<alt (*.f32 sinTheta_i (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i) sinTheta_O))>
#<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

150 calls:

TimeVariablePointExpression
21.0ms
sinTheta_i
@-inf
(* (/ 1/2 v) (* (exp (- (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v) (/ 1 v))) (exp 6931/10000)))
4.0ms
cosTheta_O
@0
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
4.0ms
cosTheta_O
@0
(* (/ 1/2 v) (* (exp (- (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v) (/ 1 v))) (exp 6931/10000)))
3.0ms
sinTheta_i
@inf
(exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
3.0ms
v
@-inf
(* (/ 1/2 v) (* (exp (- (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v) (/ 1 v))) (exp 6931/10000)))

rewrite166.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
367×log1p-expm1-u
367×expm1-log1p-u
362×add-exp-log
361×add-log-exp
358×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
046606
1840586
Stop Event
1×node limit
Counts
15 → 348
Calls
Call 1
Inputs
(/.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 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v)
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)))))
(*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)))
(exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v))))
(/.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))
(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 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (*.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))))
(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 sinTheta_O (/.f32 sinTheta_i v)))) #s(literal 1 binary32))
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(*.f32 (*.f32 sinTheta_O sinTheta_i) (/.f32 #s(literal 1 binary32) v))
(*.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(*.f32 (cbrt.f32 (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 2 binary32))) (cbrt.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(*.f32 (sqrt.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))) (sqrt.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))) #s(literal 2 binary32))
(pow.f32 (/.f32 v (*.f32 sinTheta_O sinTheta_i)) #s(literal -1 binary32))
(log.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))))
(cbrt.f32 (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(log1p.f32 (expm1.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(exp.f32 (log.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(exp.f32 (*.f32 (log.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))))) #s(literal 1 binary32))
(*.f32 #s(literal 1 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 #s(literal 6931/10000 binary32)) (exp.f32 (neg.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))))
(*.f32 (pow.f32 (cbrt.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))))) #s(literal 2 binary32)) (cbrt.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))))))
(*.f32 (sqrt.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))))) (sqrt.f32 (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 #s(literal 6931/10000 binary32)) (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))))
(/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)))
(pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))))) #s(literal 2 binary32))
(pow.f32 (exp.f32 #s(literal 1 binary32)) (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))))
(pow.f32 (exp.f32 (cbrt.f32 (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)))) (cbrt.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))))
(pow.f32 (exp.f32 (sqrt.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))))) (sqrt.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))))
(log.f32 (exp.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))))))
(cbrt.f32 (pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))))))
(log1p.f32 (expm1.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))))))
(+.f32 #s(literal 6931/10000 binary32) (neg.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))))
(+.f32 #s(literal 0 binary32) (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))))) #s(literal 2 binary32))) (log.f32 (cbrt.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))))) (log.f32 (sqrt.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))))))
(*.f32 #s(literal 1 binary32) (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))))
(*.f32 (cbrt.f32 (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32))) (cbrt.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))))
(*.f32 (sqrt.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))) (sqrt.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (-.f32 #s(literal 48038761/100000000 binary32) (pow.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (+.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))))
(/.f32 (-.f32 #s(literal 332956652491/1000000000000 binary32) (pow.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)) #s(literal 3 binary32))) (+.f32 #s(literal 48038761/100000000 binary32) (+.f32 (pow.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (*.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))))))
(pow.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i 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) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32))
(log.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.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 (log.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)))
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(+.f32 (fma.f32 (cbrt.f32 (pow.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 (cbrt.f32 (pow.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) (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)))
(*.f32 (cbrt.f32 (pow.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) #s(literal 2 binary32))) (cbrt.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))))
(*.f32 (sqrt.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))) (sqrt.f32 (-.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 (-.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)))))
(pow.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))) #s(literal 2 binary32))
(log.f32 (exp.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)))))
(cbrt.f32 (pow.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))))
(log1p.f32 (expm1.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))))
(exp.f32 (log.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))))
(exp.f32 (*.f32 (log.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))) #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i) (neg.f32 (*.f32 sinTheta_O sinTheta_i)))
(fma.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i) (*.f32 (neg.f32 sinTheta_i) sinTheta_O))
(fma.f32 #s(literal 1 binary32) (-.f32 (*.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 cosTheta_O cosTheta_i (neg.f32 (*.f32 sinTheta_O sinTheta_i)))
(fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_i) sinTheta_O))
(fma.f32 cosTheta_i cosTheta_O (neg.f32 (*.f32 sinTheta_O sinTheta_i)))
(fma.f32 cosTheta_i cosTheta_O (*.f32 (neg.f32 sinTheta_i) sinTheta_O))
(fma.f32 (cbrt.f32 (pow.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) #s(literal 2 binary32))) (cbrt.f32 (-.f32 (*.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 (*.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 (cbrt.f32 (pow.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 2 binary32))) (cbrt.f32 (*.f32 cosTheta_O cosTheta_i)) (*.f32 (neg.f32 sinTheta_i) sinTheta_O))
(fma.f32 (sqrt.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))) (sqrt.f32 (-.f32 (*.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)) (neg.f32 (*.f32 sinTheta_O sinTheta_i)))
(fma.f32 (sqrt.f32 (*.f32 cosTheta_O cosTheta_i)) (sqrt.f32 (*.f32 cosTheta_O cosTheta_i)) (*.f32 (neg.f32 sinTheta_i) sinTheta_O))

simplify388.0ms (2.8%)

Algorithm
1×egg-herbie
Rules
982×times-frac
824×*-commutative
742×distribute-lft-in
726×distribute-rgt-in
556×associate-+r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0152747936
1420044334
Stop Event
1×node limit
Counts
812 → 804
Calls
Call 1
Inputs
(exp.f32 #s(literal 6931/10000 binary32))
(+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v)))
(+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v)) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) #s(literal 2 binary32))) (pow.f32 v #s(literal 2 binary32))))))
(+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v)) (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) #s(literal 3 binary32))) (pow.f32 v #s(literal 3 binary32)))) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) #s(literal 2 binary32))) (pow.f32 v #s(literal 2 binary32)))))))
(exp.f32 #s(literal 6931/10000 binary32))
(+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)))) v)))
(+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))) #s(literal 2 binary32))) v)) (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))))) v)))
(+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))) #s(literal 3 binary32))) v)) (*.f32 #s(literal 1/2 binary32) (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))) #s(literal 2 binary32))))) v)) (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))))) v)))
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))
(+.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) v)))
(+.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (*.f32 sinTheta_O (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_i (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.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 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) (pow.f32 v #s(literal 2 binary32)))))))
(+.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (*.f32 sinTheta_O (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_i (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.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 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) (pow.f32 v #s(literal 3 binary32)))) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (pow.f32 sinTheta_i #s(literal 2 binary32)) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (pow.f32 v #s(literal 2 binary32)))))))))
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))
(+.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) v)))
(+.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (*.f32 sinTheta_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.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 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) (pow.f32 v #s(literal 2 binary32)))))))
(+.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (*.f32 sinTheta_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.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 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) (pow.f32 v #s(literal 3 binary32)))) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 2 binary32)) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (pow.f32 v #s(literal 2 binary32)))))))))
(*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))
(/.f32 (-.f32 (*.f32 #s(literal 6931/10000 binary32) v) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v)
(/.f32 (-.f32 (*.f32 #s(literal 6931/10000 binary32) v) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v)
(/.f32 (-.f32 (*.f32 #s(literal 6931/10000 binary32) v) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v)
#s(literal 6931/10000 binary32)
(+.f32 #s(literal 6931/10000 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)))
(+.f32 #s(literal 6931/10000 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)))
(+.f32 #s(literal 6931/10000 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)))
#s(literal 6931/10000 binary32)
(+.f32 #s(literal 6931/10000 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))) v)))
(+.f32 #s(literal 6931/10000 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))) v)))
(+.f32 #s(literal 6931/10000 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (*.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 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (/.f32 #s(literal 1 binary32) v))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (/.f32 #s(literal 1 binary32) v))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (/.f32 #s(literal 1 binary32) v))
(*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(*.f32 sinTheta_O (-.f32 (*.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) sinTheta_O)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_O v)) (/.f32 sinTheta_i v))))
(*.f32 sinTheta_O (-.f32 (*.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) sinTheta_O)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_O v)) (/.f32 sinTheta_i v))))
(*.f32 sinTheta_O (-.f32 (*.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) sinTheta_O)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_O v)) (/.f32 sinTheta_i v))))
(*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) sinTheta_O)) (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_i v)))))
(*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) sinTheta_O)) (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_i v)))))
(*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) sinTheta_O)) (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_i v)))))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (/.f32 #s(literal 1 binary32) v))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (/.f32 #s(literal 1 binary32) v))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (/.f32 #s(literal 1 binary32) v))
(*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(*.f32 sinTheta_i (-.f32 (*.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) sinTheta_i)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_i v)) (/.f32 sinTheta_O v))))
(*.f32 sinTheta_i (-.f32 (*.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) sinTheta_i)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_i v)) (/.f32 sinTheta_O v))))
(*.f32 sinTheta_i (-.f32 (*.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) sinTheta_i)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_i v)) (/.f32 sinTheta_O v))))
(*.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 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) sinTheta_i)) (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v)))))
(*.f32 #s(literal -1 binary32) (*.f32 sinTheta_i (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) sinTheta_i)) (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v)))))
(*.f32 #s(literal -1 binary32) (*.f32 sinTheta_i (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) sinTheta_i)) (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v)))))
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)
(*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v))
(*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v))
(*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v))
(*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) 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))))
#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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#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)))
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(*.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))))
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(*.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)
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(*.f32 cosTheta_O cosTheta_i)
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(*.f32 sinTheta_i (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i) sinTheta_O))
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(*.f32 cosTheta_O cosTheta_i)
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(*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))
(*.f32 sinTheta_O (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i))
(*.f32 sinTheta_O (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i))
(*.f32 sinTheta_O (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i))
(*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))
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(-.f32 (exp.f32 (log1p.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) #s(literal 1 binary32))
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(*.f32 (*.f32 sinTheta_O sinTheta_i) (/.f32 #s(literal 1 binary32) v))
(*.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
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(*.f32 (sqrt.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))) (sqrt.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))) #s(literal 2 binary32))
(pow.f32 (/.f32 v (*.f32 sinTheta_O sinTheta_i)) #s(literal -1 binary32))
(log.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))))
(cbrt.f32 (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(log1p.f32 (expm1.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(exp.f32 (log.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(exp.f32 (*.f32 (log.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))))) #s(literal 1 binary32))
(*.f32 #s(literal 1 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 #s(literal 6931/10000 binary32)) (exp.f32 (neg.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))))
(*.f32 (pow.f32 (cbrt.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))))) #s(literal 2 binary32)) (cbrt.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))))))
(*.f32 (sqrt.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))))) (sqrt.f32 (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 #s(literal 6931/10000 binary32)) (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))))
(/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)))
(pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))))) #s(literal 2 binary32))
(pow.f32 (exp.f32 #s(literal 1 binary32)) (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))))
(pow.f32 (exp.f32 (cbrt.f32 (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)))) (cbrt.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))))
(pow.f32 (exp.f32 (sqrt.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))))) (sqrt.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))))
(log.f32 (exp.f32 (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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(+.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) (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)))
(*.f32 (cbrt.f32 (pow.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) #s(literal 2 binary32))) (cbrt.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))))
(*.f32 (sqrt.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))) (sqrt.f32 (-.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 (-.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)))))
(pow.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))) #s(literal 2 binary32))
(log.f32 (exp.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)))))
(cbrt.f32 (pow.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))))
(log1p.f32 (expm1.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))))
(exp.f32 (log.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))))
(exp.f32 (*.f32 (log.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))) #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i) (neg.f32 (*.f32 sinTheta_O sinTheta_i)))
(fma.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i) (*.f32 (neg.f32 sinTheta_i) sinTheta_O))
(fma.f32 #s(literal 1 binary32) (-.f32 (*.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 cosTheta_O cosTheta_i (neg.f32 (*.f32 sinTheta_O sinTheta_i)))
(fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_i) sinTheta_O))
(fma.f32 cosTheta_i cosTheta_O (neg.f32 (*.f32 sinTheta_O sinTheta_i)))
(fma.f32 cosTheta_i cosTheta_O (*.f32 (neg.f32 sinTheta_i) sinTheta_O))
(fma.f32 (cbrt.f32 (pow.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) #s(literal 2 binary32))) (cbrt.f32 (-.f32 (*.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 (*.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 (cbrt.f32 (pow.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 2 binary32))) (cbrt.f32 (*.f32 cosTheta_O cosTheta_i)) (*.f32 (neg.f32 sinTheta_i) sinTheta_O))
(fma.f32 (sqrt.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))) (sqrt.f32 (-.f32 (*.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)) (neg.f32 (*.f32 sinTheta_O sinTheta_i)))
(fma.f32 (sqrt.f32 (*.f32 cosTheta_O cosTheta_i)) (sqrt.f32 (*.f32 cosTheta_O cosTheta_i)) (*.f32 (neg.f32 sinTheta_i) sinTheta_O))
Outputs
(exp.f32 #s(literal 6931/10000 binary32))
(+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v)))
(+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (neg.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))))
(+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32)) v)))
(+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v)) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) #s(literal 2 binary32))) (pow.f32 v #s(literal 2 binary32))))))
(+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (fma.f32 #s(literal -1 binary32) (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) (*.f32 #s(literal 1/2 binary32) (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) #s(literal 2 binary32)) (pow.f32 v #s(literal 2 binary32)))))))
(+.f32 (+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32)) v))) (*.f32 #s(literal 1/2 binary32) (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v) #s(literal 2 binary32)))))
(+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v)) (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) #s(literal 3 binary32))) (pow.f32 v #s(literal 3 binary32)))) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) #s(literal 2 binary32))) (pow.f32 v #s(literal 2 binary32)))))))
(+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (fma.f32 #s(literal -1 binary32) (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) #s(literal 3 binary32)) (pow.f32 v #s(literal 3 binary32)))) (*.f32 #s(literal 1/2 binary32) (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) #s(literal 2 binary32)) (pow.f32 v #s(literal 2 binary32))))))))
(+.f32 (+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32)) v))) (fma.f32 #s(literal -1/6 binary32) (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v) #s(literal 3 binary32))) (*.f32 #s(literal 1/2 binary32) (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v) #s(literal 2 binary32))))))
(exp.f32 #s(literal 6931/10000 binary32))
(+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)))) v)))
(+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (neg.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))))
(+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32)) v)))
(+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))) #s(literal 2 binary32))) v)) (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))))) v)))
(+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (neg.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) #s(literal 2 binary32)) v)) (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))) v)))
(-.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) #s(literal 2 binary32)) v)) (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))) v))
(+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))) #s(literal 3 binary32))) v)) (*.f32 #s(literal 1/2 binary32) (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))) #s(literal 2 binary32))))) v)) (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))))) v)))
(+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (neg.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) #s(literal 3 binary32)) v)) (*.f32 #s(literal 1/2 binary32) (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) #s(literal 2 binary32))))) v) (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))) v)))
(-.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (-.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) #s(literal 3 binary32)) v)) (*.f32 #s(literal 1/2 binary32) (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) #s(literal 2 binary32))))) v)) v))
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
(+.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) v)))
(+.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (neg.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) v)))))
(-.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (*.f32 sinTheta_O (*.f32 sinTheta_i (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) v))))
(+.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (*.f32 sinTheta_O (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_i (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.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 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) (pow.f32 v #s(literal 2 binary32)))))))
(+.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (*.f32 sinTheta_O (fma.f32 #s(literal -1 binary32) (*.f32 sinTheta_i (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #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 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 2 binary32)))))))))
(+.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (*.f32 sinTheta_O (-.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O (*.f32 (pow.f32 sinTheta_i #s(literal 2 binary32)) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 2 binary32)))))) (*.f32 sinTheta_i (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) v)))))
(+.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (*.f32 sinTheta_O (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_i (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.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 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) (pow.f32 v #s(literal 3 binary32)))) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (pow.f32 sinTheta_i #s(literal 2 binary32)) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (pow.f32 v #s(literal 2 binary32)))))))))
(+.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (*.f32 sinTheta_O (fma.f32 #s(literal -1 binary32) (*.f32 sinTheta_i (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) v)) (*.f32 sinTheta_O (fma.f32 #s(literal -1/6 binary32) (*.f32 sinTheta_O (/.f32 (*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (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)) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 2 binary32))))))))))
(+.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (*.f32 sinTheta_O (-.f32 (*.f32 sinTheta_O (fma.f32 #s(literal -1/6 binary32) (*.f32 sinTheta_O (/.f32 (*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (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)) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 2 binary32))))))) (*.f32 sinTheta_i (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) v)))))
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
(+.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) v)))
(+.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (neg.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) v)))))
(-.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (*.f32 sinTheta_O (*.f32 sinTheta_i (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) v))))
(+.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (*.f32 sinTheta_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.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 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) (pow.f32 v #s(literal 2 binary32)))))))
(+.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (*.f32 sinTheta_i (fma.f32 #s(literal -1 binary32) (*.f32 sinTheta_O (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) v)) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 sinTheta_i (pow.f32 sinTheta_O #s(literal 2 binary32))) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) (pow.f32 v #s(literal 2 binary32)))))))
(+.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (*.f32 sinTheta_i (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 sinTheta_i (pow.f32 sinTheta_O #s(literal 2 binary32))) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) (pow.f32 v #s(literal 2 binary32)))) (*.f32 sinTheta_O (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) v)))))
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#s(literal 1 binary32)
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#s(literal 1 binary32)
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(*.f32 sinTheta_O (neg.f32 sinTheta_i))
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(-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))
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(*.f32 cosTheta_O cosTheta_i)
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(*.f32 cosTheta_O cosTheta_i)
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(*.f32 sinTheta_O (neg.f32 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)
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(*.f32 cosTheta_O cosTheta_i)
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(pow.f32 (exp.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v))) (sqrt.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v)))
(log.f32 (exp.f32 (exp.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v))))
(exp.f32 (-.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (exp.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)))))
(exp.f32 (-.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v))
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(exp.f32 (-.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v))
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(exp.f32 (-.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v))
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(-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))
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(-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))
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(+.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) (fma.f32 (neg.f32 sinTheta_i) sinTheta_O (*.f32 sinTheta_O sinTheta_i)))
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(+.f32 (fma.f32 (neg.f32 sinTheta_i) sinTheta_O (*.f32 sinTheta_O sinTheta_i)) (fma.f32 (cbrt.f32 (pow.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 2 binary32))) (cbrt.f32 (*.f32 cosTheta_O cosTheta_i)) (*.f32 sinTheta_O (neg.f32 sinTheta_i))))
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(*.f32 #s(literal 1 binary32) (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)))
(-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))
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(*.f32 (sqrt.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))) (sqrt.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))))
(-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))
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(pow.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32))
(-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))
(pow.f32 (cbrt.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))) #s(literal 3 binary32))
(-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))
(pow.f32 (pow.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
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(fma.f32 (cbrt.f32 (pow.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 2 binary32))) (cbrt.f32 (*.f32 cosTheta_O cosTheta_i)) (*.f32 (neg.f32 sinTheta_i) sinTheta_O))
(fma.f32 (cbrt.f32 (pow.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 2 binary32))) (cbrt.f32 (*.f32 cosTheta_O cosTheta_i)) (*.f32 sinTheta_O (neg.f32 sinTheta_i)))
(fma.f32 (sqrt.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))) (sqrt.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))) (fma.f32 (neg.f32 sinTheta_O) sinTheta_i (*.f32 sinTheta_O sinTheta_i)))
(+.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) (fma.f32 (neg.f32 sinTheta_i) sinTheta_O (*.f32 sinTheta_O sinTheta_i)))
(+.f32 (-.f32 (*.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)) (neg.f32 (*.f32 sinTheta_O sinTheta_i)))
(-.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)) (*.f32 (neg.f32 sinTheta_i) sinTheta_O))
(-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))

eval469.0ms (3.4%)

Compiler

Compiled 23621 to 14474 computations (38.7% saved)

prune198.0ms (1.4%)

Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New82613839
Fresh437
Picked505
Done000
Total83516851
Accuracy
99.9%
Counts
851 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.4%
(pow.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v))))) #s(literal 2 binary32))
99.4%
(pow.f32 (cbrt.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v))))) #s(literal 3 binary32))
99.4%
(pow.f32 (E.f32) (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
4.6%
(/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) sinTheta_O) sinTheta_i) v)) v)
▶4.6%
(/.f32 #s(literal 1/2 binary32) v)
99.4%
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 #s(literal 1 binary32)) (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))))
4.6%
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
▶99.4%
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 (pow.f32 (E.f32) (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v)) (exp.f32 #s(literal 6931/10000 binary32))))
99.3%
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1 binary32) v))) (exp.f32 #s(literal 6931/10000 binary32))))
99.4%
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
▶99.3%
(*.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
▶99.8%
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))) v))
99.7%
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v))
▶97.8%
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))
10.9%
(exp.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
99.4%
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))
Compiler

Compiled 606 to 472 computations (22.1% saved)

localize842.0ms (6.1%)

Localize:

Found 14 expressions with local error:

NewAccuracyProgram
✓100.0%
(*.f32 sinTheta_O sinTheta_i)
✓100.0%
(/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v)
✓99.8%
(pow.f32 (E.f32) (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v))
✓99.6%
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 (pow.f32 (E.f32) (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v)) (exp.f32 #s(literal 6931/10000 binary32))))
✓99.8%
(exp.f32 (/.f32 #s(literal -1 binary32) v))
✓99.6%
(*.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
✓98.9%
(*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1/2 binary32) v))
✓100.0%
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)
✓100.0%
(*.f32 cosTheta_O cosTheta_i)
✓99.8%
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))
✓100.0%
(*.f32 sinTheta_O sinTheta_i)
✓100.0%
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)
✓99.9%
(-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))
✓99.8%
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)))
Compiler

Compiled 222 to 123 computations (44.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 227.0ms
Operation ival-div, time spent: 46.0ms, 20.0% of total-time
Operation ival-exp, time spent: 39.0ms, 17.0% of total-time
Operation ival-pow, time spent: 36.0ms, 16.0% of total-time
Operation ival-add, time spent: 31.0ms, 14.0% of total-time
Operation ival-mult, time spent: 26.0ms, 11.0% of total-time
Operation composed, time spent: 24.0ms, 11.0% of total-time
Operation ival-sub, time spent: 16.0ms, 7.0% of total-time
Operation const, time spent: 7.0ms, 3.0% of total-time
Operation ival-e, time spent: 3.0ms, 1.0% of total-time

series101.0ms (0.7%)

Counts
14 → 348
Calls
Call 1
Inputs
#<alt (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)))>
#<alt (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))>
#<alt (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)>
#<alt (*.f32 sinTheta_O sinTheta_i)>
#<alt (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))>
#<alt (*.f32 cosTheta_O cosTheta_i)>
#<alt (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)>
#<alt (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1/2 binary32) v))>
#<alt (*.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))>
#<alt (exp.f32 (/.f32 #s(literal -1 binary32) v))>
#<alt (*.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 (pow.f32 (E.f32) (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v)) (exp.f32 #s(literal 6931/10000 binary32))))>
#<alt (pow.f32 (E.f32) (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v))>
#<alt (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v)>
#<alt (*.f32 sinTheta_O sinTheta_i)>
Outputs
#<alt (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))>
#<alt (+.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) v)))>
#<alt (+.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (*.f32 sinTheta_O (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_i (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.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 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) (pow.f32 v #s(literal 2 binary32)))))))>
#<alt (+.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (*.f32 sinTheta_O (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_i (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.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 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) (pow.f32 v #s(literal 3 binary32)))) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (pow.f32 sinTheta_i #s(literal 2 binary32)) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (pow.f32 v #s(literal 2 binary32)))))))))>
#<alt (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.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 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.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 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.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 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.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 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))>
#<alt (+.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) v)))>
#<alt (+.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (*.f32 sinTheta_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.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 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) (pow.f32 v #s(literal 2 binary32)))))))>
#<alt (+.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (*.f32 sinTheta_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.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 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) (pow.f32 v #s(literal 3 binary32)))) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 2 binary32)) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (pow.f32 v #s(literal 2 binary32)))))))))>
#<alt (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.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 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.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 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.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 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.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 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.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 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.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 (exp.f32 #s(literal 6931/10000 binary32))>
#<alt (+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v)))>
#<alt (+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v)) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) #s(literal 2 binary32))) (pow.f32 v #s(literal 2 binary32))))))>
#<alt (+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v)) (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) #s(literal 3 binary32))) (pow.f32 v #s(literal 3 binary32)))) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) #s(literal 2 binary32))) (pow.f32 v #s(literal 2 binary32)))))))>
#<alt (exp.f32 #s(literal 6931/10000 binary32))>
#<alt (+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v)))>
#<alt (+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) #s(literal 2 binary32))) v)) (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))) v)))>
#<alt (+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) #s(literal 3 binary32))) v)) (*.f32 #s(literal 1/2 binary32) (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) #s(literal 2 binary32))))) v)) (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))) v)))>
#<alt (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (/.f32 #s(literal 1 binary32) v))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (/.f32 #s(literal 1 binary32) v))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_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 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) sinTheta_O)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_O v)) (/.f32 sinTheta_i v))))>
#<alt (*.f32 sinTheta_O (-.f32 (*.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) sinTheta_O)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_O v)) (/.f32 sinTheta_i v))))>
#<alt (*.f32 sinTheta_O (-.f32 (*.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) sinTheta_O)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_O v)) (/.f32 sinTheta_i v))))>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) sinTheta_O)) (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_i v)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) sinTheta_O)) (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_i v)))))>
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#<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)>
#<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 (-.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 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v)>
Calls

117 calls:

TimeVariablePointExpression
26.0ms
v
@inf
(* (/ 1/2 v) (* (pow (E) (/ (- (+ (* cosTheta_O cosTheta_i) -1) (* sinTheta_O sinTheta_i)) v)) (exp 6931/10000)))
4.0ms
sinTheta_i
@0
(pow (E) (/ (- (+ (* cosTheta_O cosTheta_i) -1) (* sinTheta_O sinTheta_i)) v))
2.0ms
sinTheta_O
@0
(* (/ 1/2 v) (* (pow (E) (/ (- (+ (* cosTheta_O cosTheta_i) -1) (* sinTheta_O sinTheta_i)) v)) (exp 6931/10000)))
2.0ms
cosTheta_O
@0
(* (/ 1/2 v) (* (pow (E) (/ (- (+ (* cosTheta_O cosTheta_i) -1) (* sinTheta_O sinTheta_i)) v)) (exp 6931/10000)))
2.0ms
sinTheta_i
@0
(* (/ 1/2 v) (* (pow (E) (/ (- (+ (* cosTheta_O cosTheta_i) -1) (* sinTheta_O sinTheta_i)) v)) (exp 6931/10000)))

rewrite144.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
520×associate-*r*
342×associate-*l*
279×add-log-exp
279×log1p-expm1-u
279×expm1-log1p-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
041431
1626407
Stop Event
1×node limit
Counts
14 → 312
Calls
Call 1
Inputs
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)
(*.f32 sinTheta_O sinTheta_i)
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))
(*.f32 cosTheta_O cosTheta_i)
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)
(*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1/2 binary32) v))
(*.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
(exp.f32 (/.f32 #s(literal -1 binary32) v))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 (pow.f32 (E.f32) (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v)) (exp.f32 #s(literal 6931/10000 binary32))))
(pow.f32 (E.f32) (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v))
(/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v)
(*.f32 sinTheta_O sinTheta_i)
Outputs
(-.f32 (exp.f32 (log1p.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
(*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
(*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v))))
(*.f32 (cbrt.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) (pow.f32 (cbrt.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) #s(literal 2 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) #s(literal 2 binary32)) (cbrt.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))
(*.f32 (sqrt.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) (sqrt.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))
(/.f32 #s(literal 1 binary32) (/.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) (exp.f32 #s(literal 6931/10000 binary32))))
(/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
(/.f32 (neg.f32 (exp.f32 #s(literal 6931/10000 binary32))) (neg.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
(pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) #s(literal 1 binary32))
(pow.f32 (E.f32) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
(pow.f32 (cbrt.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.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 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) #s(literal 2 binary32))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) #s(literal 2 binary32))) (cbrt.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
(pow.f32 (exp.f32 (sqrt.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) (sqrt.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
(sqrt.f32 (pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) #s(literal 2 binary32)))
(log.f32 (exp.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))))
(cbrt.f32 (pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))
(log1p.f32 (expm1.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))
(+.f32 #s(literal 0 binary32) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v)))
(+.f32 #s(literal 6931/10000 binary32) (*.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v)) #s(literal 1 binary32)))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) #s(literal 2 binary32))) (log.f32 (cbrt.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))) (log.f32 (sqrt.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))))
(*.f32 #s(literal 1 binary32) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
(*.f32 (cbrt.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (pow.f32 (cbrt.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) #s(literal 2 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) #s(literal 2 binary32)) (cbrt.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
(*.f32 (sqrt.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (sqrt.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
(*.f32 (-.f32 #s(literal 332956652491/1000000000000 binary32) (pow.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 48038761/100000000 binary32) (*.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))))))
(*.f32 (-.f32 #s(literal 48038761/100000000 binary32) (pow.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 48038761/100000000 binary32) (*.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))) (-.f32 #s(literal 332956652491/1000000000000 binary32) (pow.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 3 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) (-.f32 #s(literal 48038761/100000000 binary32) (pow.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 2 binary32)))))
(/.f32 (-.f32 #s(literal 332956652491/1000000000000 binary32) (pow.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 3 binary32))) (+.f32 #s(literal 48038761/100000000 binary32) (*.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))))
(/.f32 (-.f32 #s(literal 48038761/100000000 binary32) (pow.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 2 binary32))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
(/.f32 (neg.f32 (-.f32 #s(literal 332956652491/1000000000000 binary32) (pow.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 3 binary32)))) (neg.f32 (+.f32 #s(literal 48038761/100000000 binary32) (*.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))))))
(/.f32 (neg.f32 (-.f32 #s(literal 48038761/100000000 binary32) (pow.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 2 binary32)))) (neg.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
(/.f32 (+.f32 #s(literal 332956652491/1000000000000 binary32) (pow.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v)) #s(literal 3 binary32))) (+.f32 #s(literal 48038761/100000000 binary32) (-.f32 (*.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v))) (*.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v))))))
(/.f32 (-.f32 #s(literal 48038761/100000000 binary32) (*.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v)))) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v))))
(pow.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) #s(literal 2 binary32)))
(log.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))
(cbrt.f32 (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
(log1p.f32 (expm1.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
(exp.f32 (log.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
(exp.f32 (*.f32 (log.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))
(*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) v))
(*.f32 (cbrt.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) (pow.f32 (cbrt.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) #s(literal 2 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) #s(literal 2 binary32)) (cbrt.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
(*.f32 (pow.f32 (cbrt.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) v)))
(*.f32 (sqrt.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) (sqrt.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
(*.f32 (sqrt.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (*.f32 (sqrt.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) v)))
(*.f32 (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (/.f32 #s(literal -1 binary32) v))
(*.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (cbrt.f32 v) #s(literal 2 binary32))) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (cbrt.f32 v)))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 v)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (sqrt.f32 v)))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) #s(literal 2 binary32)) #s(literal 1 binary32)) (/.f32 (cbrt.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 v) #s(literal 2 binary32))) (cbrt.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) #s(literal 2 binary32)) (sqrt.f32 v)) (/.f32 (cbrt.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (sqrt.f32 v)))
(*.f32 (/.f32 (sqrt.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))
(*.f32 (/.f32 (sqrt.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (pow.f32 (cbrt.f32 v) #s(literal 2 binary32))) (/.f32 (sqrt.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (cbrt.f32 v)))
(pow.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 1 binary32))
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(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(cbrt.f32 (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(log1p.f32 (expm1.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)))))) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 v (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))))))
(/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))) (*.f32 v #s(literal 2 binary32)))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #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_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))))) (neg.f32 v))
(pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))))) #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) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)))) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)))))))
(cbrt.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) #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 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #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_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #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 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))))))
(log1p.f32 (expm1.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))))))
(exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))))
(exp.f32 (*.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (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 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))
(*.f32 (cbrt.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (pow.f32 (cbrt.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) #s(literal 2 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) #s(literal 2 binary32)) (cbrt.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))))
(*.f32 (sqrt.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (sqrt.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))))
(*.f32 (pow.f32 #s(literal 1 binary32) (/.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) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))
(*.f32 (pow.f32 (cbrt.f32 (exp.f32 #s(literal 2 binary32))) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) (pow.f32 (cbrt.f32 (E.f32)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))
(*.f32 (pow.f32 (sqrt.f32 (E.f32)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) (pow.f32 (sqrt.f32 (E.f32)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))
(/.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (pow.f32 (E.f32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(/.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(sqrt.f32 (pow.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 2 binary32)))
(log.f32 (exp.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))))
(cbrt.f32 (pow.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))))
(log1p.f32 (expm1.f32 (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) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))
(+.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v) (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(+.f32 #s(literal 0 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))
(+.f32 (*.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) #s(literal 1/2 binary32)) (*.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) #s(literal 1/2 binary32)))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) #s(literal 2 binary32))) (log.f32 (cbrt.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))))
(-.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))
(*.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) v))
(*.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) #s(literal 1 binary32))
(*.f32 (cbrt.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) (pow.f32 (cbrt.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 2 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 2 binary32)) (cbrt.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))
(*.f32 (pow.f32 (cbrt.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) v)))
(*.f32 (sqrt.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) (sqrt.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))
(*.f32 (sqrt.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (*.f32 (sqrt.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) v)))
(*.f32 (neg.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (/.f32 #s(literal -1 binary32) v))
(*.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (cbrt.f32 v) #s(literal 2 binary32))) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (cbrt.f32 v)))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 v)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (sqrt.f32 v)))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) #s(literal 2 binary32)) #s(literal 1 binary32)) (/.f32 (cbrt.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) v))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 v) #s(literal 2 binary32))) (cbrt.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) #s(literal 2 binary32)) (sqrt.f32 v)) (/.f32 (cbrt.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (sqrt.f32 v)))
(*.f32 (/.f32 (sqrt.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) v))
(*.f32 (/.f32 (sqrt.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (pow.f32 (cbrt.f32 v) #s(literal 2 binary32))) (/.f32 (sqrt.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (cbrt.f32 v)))
(pow.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 2 binary32))
(pow.f32 (/.f32 v (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) #s(literal -1 binary32))
(neg.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (neg.f32 v)))
(neg.f32 (/.f32 (neg.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) v))
(sqrt.f32 (pow.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) #s(literal 2 binary32)))
(log.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))))
(cbrt.f32 (pow.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) #s(literal 3 binary32)))
(cbrt.f32 (/.f32 (pow.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) #s(literal 3 binary32)) (pow.f32 v #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))
(log1p.f32 (expm1.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))
(exp.f32 (log.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))
(exp.f32 (*.f32 (log.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v) (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(fma.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) v) (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(fma.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)) (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(fma.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)) (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(-.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 1 binary32))
(pow.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 sinTheta_O sinTheta_i)) #s(literal 3 binary32))
(pow.f32 (sqrt.f32 (*.f32 sinTheta_O sinTheta_i)) #s(literal 2 binary32))
(pow.f32 (pow.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(sqrt.f32 (pow.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 sinTheta_O) sinTheta_i))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 sinTheta_O sinTheta_i))))
(cbrt.f32 (pow.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (*.f32 sinTheta_O sinTheta_i)))
(log1p.f32 (expm1.f32 (*.f32 sinTheta_O sinTheta_i)))
(exp.f32 (log.f32 (*.f32 sinTheta_O sinTheta_i)))
(exp.f32 (*.f32 (log.f32 (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)))

simplify344.0ms (2.5%)

Algorithm
1×egg-herbie
Rules
1380×fma-define
924×times-frac
766×associate-*r/
742×*-commutative
598×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0127333836
1358432033
Stop Event
1×node limit
Counts
660 → 642
Calls
Call 1
Inputs
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))
(+.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) v)))
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#s(literal 1 binary32)
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#s(literal 1 binary32)
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(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
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(pow.f32 (/.f32 v (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) #s(literal -1 binary32))
(neg.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (neg.f32 v)))
(neg.f32 (/.f32 (neg.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) v))
(sqrt.f32 (pow.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) #s(literal 2 binary32)))
(log.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))))
(cbrt.f32 (pow.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) #s(literal 3 binary32)))
(cbrt.f32 (/.f32 (pow.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) #s(literal 3 binary32)) (pow.f32 v #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))
(log1p.f32 (expm1.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))
(exp.f32 (log.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))
(exp.f32 (*.f32 (log.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v) (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(fma.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) v) (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(fma.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)) (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(fma.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)) (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(-.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 1 binary32))
(pow.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 sinTheta_O sinTheta_i)) #s(literal 3 binary32))
(pow.f32 (sqrt.f32 (*.f32 sinTheta_O sinTheta_i)) #s(literal 2 binary32))
(pow.f32 (pow.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(sqrt.f32 (pow.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 sinTheta_O) sinTheta_i))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 sinTheta_O sinTheta_i))))
(cbrt.f32 (pow.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (*.f32 sinTheta_O sinTheta_i)))
(log1p.f32 (expm1.f32 (*.f32 sinTheta_O sinTheta_i)))
(exp.f32 (log.f32 (*.f32 sinTheta_O sinTheta_i)))
(exp.f32 (*.f32 (log.f32 (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)))
Outputs
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
(+.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) v)))
(+.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (neg.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v)))))
(-.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (*.f32 sinTheta_O (*.f32 sinTheta_i (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) v))))
(+.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (*.f32 sinTheta_O (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_i (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.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 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) (pow.f32 v #s(literal 2 binary32)))))))
(+.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (*.f32 sinTheta_O (fma.f32 #s(literal -1 binary32) (*.f32 sinTheta_i (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v)) (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O (/.f32 (*.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (pow.f32 sinTheta_i #s(literal 2 binary32))) (pow.f32 v #s(literal 2 binary32))))))))
(fma.f32 sinTheta_O (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 sinTheta_O (pow.f32 sinTheta_i #s(literal 2 binary32))) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) (pow.f32 v #s(literal 2 binary32)))) (*.f32 sinTheta_i (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) v))) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(+.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (*.f32 sinTheta_O (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_i (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.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 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) (pow.f32 v #s(literal 3 binary32)))) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (pow.f32 sinTheta_i #s(literal 2 binary32)) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (pow.f32 v #s(literal 2 binary32)))))))))
(+.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (*.f32 sinTheta_O (fma.f32 #s(literal -1 binary32) (*.f32 sinTheta_i (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v)) (*.f32 sinTheta_O (fma.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (*.f32 sinTheta_O (pow.f32 sinTheta_i #s(literal 3 binary32))) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (pow.f32 v #s(literal 3 binary32))) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (pow.f32 sinTheta_i #s(literal 2 binary32))) (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 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 2 binary32)))) (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (*.f32 sinTheta_O (pow.f32 sinTheta_i #s(literal 3 binary32))) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) (pow.f32 v #s(literal 3 binary32))))) (*.f32 (neg.f32 sinTheta_i) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) v))) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) 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))))
(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))))
(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))))
(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))))
(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))))
(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))))
(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))))
(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))))
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
(+.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) v)))
(+.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (neg.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v)))))
(-.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (*.f32 sinTheta_O (*.f32 sinTheta_i (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) v))))
(+.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (*.f32 sinTheta_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.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 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) (pow.f32 v #s(literal 2 binary32)))))))
(+.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (*.f32 sinTheta_i (fma.f32 #s(literal -1 binary32) (*.f32 sinTheta_O (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v)) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 2 binary32)) sinTheta_i) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (pow.f32 v #s(literal 2 binary32)))))))
(fma.f32 sinTheta_i (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 2 binary32)) sinTheta_i) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))) (pow.f32 v #s(literal 2 binary32))) (*.f32 sinTheta_O (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) v))) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(+.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (*.f32 sinTheta_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.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 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) (pow.f32 v #s(literal 3 binary32)))) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 2 binary32)) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (pow.f32 v #s(literal 2 binary32)))))))))
(+.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (*.f32 sinTheta_i (fma.f32 #s(literal -1 binary32) (*.f32 sinTheta_O (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v)) (*.f32 sinTheta_i (fma.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) sinTheta_i) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (pow.f32 v #s(literal 3 binary32))) (*.f32 #s(literal 1/2 binary32) (*.f32 (pow.f32 sinTheta_O #s(literal 2 binary32)) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (pow.f32 v #s(literal 2 binary32))))))))))
(fma.f32 sinTheta_i (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (*.f32 (pow.f32 sinTheta_O #s(literal 2 binary32)) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 2 binary32)))) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) sinTheta_i) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))) (pow.f32 v #s(literal 3 binary32)))) (*.f32 (neg.f32 sinTheta_O) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) v))) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) 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))))
(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))))
(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))))
(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))))
(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))))
(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))))
(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))))
(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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(+.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 sinTheta_i (/.f32 (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)))))))))
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(+.f32 (exp.f32 (/.f32 (*.f32 (log.f32 (E.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 (*.f32 (exp.f32 (/.f32 (*.f32 (log.f32 (E.f32)) (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32))) v)) (log.f32 (E.f32)))) v)) (*.f32 sinTheta_O (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 sinTheta_O (*.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) (*.f32 (exp.f32 (/.f32 (*.f32 (log.f32 (E.f32)) (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32))) v)) (pow.f32 (log.f32 (E.f32)) #s(literal 3 binary32))))) (pow.f32 v #s(literal 3 binary32)))) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (pow.f32 sinTheta_i #s(literal 2 binary32)) (*.f32 (exp.f32 (/.f32 (*.f32 (log.f32 (E.f32)) (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32))) v)) (pow.f32 (log.f32 (E.f32)) #s(literal 2 binary32)))) (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 sinTheta_i (/.f32 (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))))))))))
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(exp.f32 (/.f32 (*.f32 (log.f32 (E.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 (log.f32 (E.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 (log.f32 (E.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 (log.f32 (E.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 (log.f32 (E.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 (log.f32 (E.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 (log.f32 (E.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 (log.f32 (E.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 (log.f32 (E.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))
(+.f32 (exp.f32 (/.f32 (*.f32 (log.f32 (E.f32)) (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32))) v)) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 (exp.f32 (/.f32 (*.f32 (log.f32 (E.f32)) (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32))) v)) (log.f32 (E.f32))))) v)))
(+.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (neg.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (/.f32 (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 sinTheta_O (*.f32 sinTheta_i (/.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) v))))
(+.f32 (exp.f32 (/.f32 (*.f32 (log.f32 (E.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 (*.f32 (exp.f32 (/.f32 (*.f32 (log.f32 (E.f32)) (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32))) v)) (log.f32 (E.f32)))) v)) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 2 binary32)) (*.f32 sinTheta_i (*.f32 (exp.f32 (/.f32 (*.f32 (log.f32 (E.f32)) (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32))) v)) (pow.f32 (log.f32 (E.f32)) #s(literal 2 binary32))))) (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 #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))))))))
(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 (log.f32 (E.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 (*.f32 (exp.f32 (/.f32 (*.f32 (log.f32 (E.f32)) (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32))) v)) (log.f32 (E.f32)))) v)) (*.f32 sinTheta_i (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) (*.f32 sinTheta_i (*.f32 (exp.f32 (/.f32 (*.f32 (log.f32 (E.f32)) (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32))) v)) (pow.f32 (log.f32 (E.f32)) #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)) (*.f32 (exp.f32 (/.f32 (*.f32 (log.f32 (E.f32)) (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32))) v)) (pow.f32 (log.f32 (E.f32)) #s(literal 2 binary32)))) (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 (*.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) 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 (*.f32 #s(literal 1/2 binary32) (*.f32 (pow.f32 sinTheta_O #s(literal 2 binary32)) (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 (log.f32 (E.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 (log.f32 (E.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 (log.f32 (E.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 (log.f32 (E.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 (log.f32 (E.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 (log.f32 (E.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 (log.f32 (E.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 (log.f32 (E.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 (log.f32 (E.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 (log.f32 (E.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 (log.f32 (E.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 (log.f32 (E.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))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (log.f32 (E.f32)) (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O 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 #s(literal 1 binary32) (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (pow.f32 (log.f32 (E.f32)) #s(literal 2 binary32)) (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 (log.f32 (E.f32)) (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))) v)))
(+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (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 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))
(+.f32 #s(literal 1 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 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))
(+.f32 #s(literal 1 binary32) (+.f32 (*.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 (pow.f32 (log.f32 (E.f32)) #s(literal 3 binary32)) (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 (*.f32 (pow.f32 (log.f32 (E.f32)) #s(literal 2 binary32)) (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 (log.f32 (E.f32)) (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))) v))))
(+.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/6 binary32) (*.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) #s(literal 3 binary32))) (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (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 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))))
(+.f32 #s(literal 1 binary32) (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 (-.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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(fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)
(*.f32 (pow.f32 (cbrt.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) v)))
(fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)
(*.f32 (sqrt.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) (sqrt.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))
(fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)
(*.f32 (sqrt.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (*.f32 (sqrt.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) v)))
(fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)
(*.f32 (neg.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (/.f32 #s(literal -1 binary32) v))
(fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (*.f32 cosTheta_O (/.f32 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) (pow.f32 (cbrt.f32 v) #s(literal 2 binary32))) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (cbrt.f32 v)))
(/.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (cbrt.f32 v)) (pow.f32 (cbrt.f32 v) #s(literal 2 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 v)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (sqrt.f32 v)))
(/.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (sqrt.f32 v)) (sqrt.f32 v))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) #s(literal 2 binary32)) #s(literal 1 binary32)) (/.f32 (cbrt.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) v))
(fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 v) #s(literal 2 binary32))) (cbrt.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))
(*.f32 (cbrt.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) (/.f32 (pow.f32 (cbrt.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 v) #s(literal 2 binary32))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) #s(literal 2 binary32)) (sqrt.f32 v)) (/.f32 (cbrt.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (sqrt.f32 v)))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 v)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (sqrt.f32 v)))
(/.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (sqrt.f32 v)) (sqrt.f32 v))
(*.f32 (/.f32 (sqrt.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) v))
(fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)
(*.f32 (/.f32 (sqrt.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (pow.f32 (cbrt.f32 v) #s(literal 2 binary32))) (/.f32 (sqrt.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (cbrt.f32 v)))
(*.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (cbrt.f32 v) #s(literal 2 binary32))) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (cbrt.f32 v)))
(/.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (cbrt.f32 v)) (pow.f32 (cbrt.f32 v) #s(literal 2 binary32)))
(pow.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) #s(literal 1 binary32))
(fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)
(pow.f32 (cbrt.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 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)
(pow.f32 (pow.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)
(pow.f32 (sqrt.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 2 binary32))
(fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)
(pow.f32 (/.f32 v (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 v (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))))
(neg.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (neg.f32 v)))
(fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)
(neg.f32 (/.f32 (neg.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) v))
(fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)
(sqrt.f32 (pow.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) #s(literal 2 binary32)))
(fabs.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))
(log.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))
(fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))))
(fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)
(cbrt.f32 (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 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)
(cbrt.f32 (/.f32 (pow.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) #s(literal 3 binary32)) (pow.f32 v #s(literal 3 binary32))))
(fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)
(expm1.f32 (log1p.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))
(log1p.f32 (expm1.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))
(fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)
(exp.f32 (log.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))
(fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)
(exp.f32 (*.f32 (log.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 1 binary32)))
(fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)
(fma.f32 #s(literal 1 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v) (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)
(fma.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) v) (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)
(fma.f32 (pow.f32 (cbrt.f32 (/.f32 (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)) (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)
(fma.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)) (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)
(-.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 1 binary32))
(+.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal -1 binary32))
(+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 0 binary32))
(pow.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32))
(*.f32 sinTheta_O sinTheta_i)
(pow.f32 (cbrt.f32 (*.f32 sinTheta_O sinTheta_i)) #s(literal 3 binary32))
(*.f32 sinTheta_O sinTheta_i)
(pow.f32 (sqrt.f32 (*.f32 sinTheta_O sinTheta_i)) #s(literal 2 binary32))
(*.f32 sinTheta_O sinTheta_i)
(pow.f32 (pow.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(*.f32 sinTheta_O sinTheta_i)
(sqrt.f32 (pow.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 2 binary32)))
(fabs.f32 (*.f32 sinTheta_O sinTheta_i))
(log.f32 (pow.f32 (exp.f32 sinTheta_O) sinTheta_i))
(*.f32 sinTheta_O sinTheta_i)
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 sinTheta_O sinTheta_i))))
(*.f32 sinTheta_O sinTheta_i)
(cbrt.f32 (pow.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 3 binary32)))
(*.f32 sinTheta_O sinTheta_i)
(expm1.f32 (log1p.f32 (*.f32 sinTheta_O sinTheta_i)))
(+.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal -1 binary32))
(+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 0 binary32))
(log1p.f32 (expm1.f32 (*.f32 sinTheta_O sinTheta_i)))
(*.f32 sinTheta_O sinTheta_i)
(exp.f32 (log.f32 (*.f32 sinTheta_O sinTheta_i)))
(*.f32 sinTheta_O sinTheta_i)
(exp.f32 (*.f32 (log.f32 (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)))
(*.f32 sinTheta_O sinTheta_i)

eval367.0ms (2.7%)

Compiler

Compiled 16603 to 11153 computations (32.8% saved)

prune137.0ms (1%)

Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New6536659
Fresh7411
Picked325
Done000
Total66312675
Accuracy
99.9%
Counts
675 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.4%
(pow.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v))))) #s(literal 2 binary32))
99.4%
(pow.f32 (cbrt.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v))))) #s(literal 3 binary32))
▶99.4%
(pow.f32 (E.f32) (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
▶99.4%
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 (pow.f32 (E.f32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)) (exp.f32 #s(literal 6931/10000 binary32))))
99.4%
(*.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1/2 binary32) v)) (pow.f32 (E.f32) (/.f32 #s(literal -1 binary32) v)))
✓99.3%
(*.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
▶99.3%
(*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v))
▶99.3%
(*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
✓99.8%
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))) v))
97.8%
(exp.f32 (/.f32 #s(literal -1 binary32) v))
99.4%
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))
▶6.5%
#s(literal 1 binary32)
Compiler

Compiled 393 to 323 computations (17.8% saved)

localize604.0ms (4.4%)

Localize:

Found 14 expressions with local error:

NewAccuracyProgram
✓100.0%
(*.f32 (pow.f32 (E.f32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)) (exp.f32 #s(literal 6931/10000 binary32)))
100.0%
(*.f32 cosTheta_O cosTheta_i)
✓99.8%
(pow.f32 (E.f32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))
✓99.6%
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 (pow.f32 (E.f32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)) (exp.f32 #s(literal 6931/10000 binary32))))
✓100.0%
(*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
99.8%
(exp.f32 (/.f32 #s(literal -1 binary32) v))
✓99.6%
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
✓99.9%
(+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))
✓99.8%
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
✓99.6%
(*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v))
✓99.8%
(+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))
✓99.8%
(pow.f32 (E.f32) (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
99.6%
(log.f32 (/.f32 #s(literal 1/2 binary32) v))
✓86.6%
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)
Compiler

Compiled 239 to 133 computations (44.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 203.0ms
Operation ival-div, time spent: 57.0ms, 28.0% of total-time
Operation ival-pow, time spent: 48.0ms, 24.0% of total-time
Operation ival-exp, time spent: 27.0ms, 13.0% of total-time
Operation ival-log, time spent: 18.0ms, 9.0% of total-time
Operation ival-mult, time spent: 15.0ms, 7.0% of total-time
Operation ival-sub, time spent: 14.0ms, 7.0% of total-time
Operation ival-add, time spent: 12.0ms, 6.0% of total-time
Operation const, time spent: 8.0ms, 4.0% of total-time
Operation ival-e, time spent: 5.0ms, 2.0% of total-time

series106.0ms (0.8%)

Counts
11 → 336
Calls
Call 1
Inputs
#<alt (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)>
#<alt (pow.f32 (E.f32) (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))>
#<alt (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))>
#<alt (*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v))>
#<alt (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))>
#<alt (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))>
#<alt (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 #s(literal -1 binary32) v)))>
#<alt (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 #s(literal -1 binary32) v))))>
#<alt (*.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 (pow.f32 (E.f32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)) (exp.f32 #s(literal 6931/10000 binary32))))>
#<alt (pow.f32 (E.f32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))>
#<alt (*.f32 (pow.f32 (E.f32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)) (exp.f32 #s(literal 6931/10000 binary32)))>
Outputs
#<alt (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (*.f32 cosTheta_O (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_O v))) (/.f32 cosTheta_i v)))>
#<alt (*.f32 cosTheta_O (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_O v))) (/.f32 cosTheta_i v)))>
#<alt (*.f32 cosTheta_O (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_O v))) (/.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 (*.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 #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 (*.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 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))>
#<alt (*.f32 sinTheta_O (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_i v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O v))))>
#<alt (*.f32 sinTheta_O (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_i v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O v))))>
#<alt (*.f32 sinTheta_O (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_i v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.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 cosTheta_O cosTheta_i) (*.f32 sinTheta_O v))) (/.f32 sinTheta_i v))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O v))) (/.f32 sinTheta_i v))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O v))) (/.f32 sinTheta_i v))))>
#<alt (/.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 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))>
#<alt (*.f32 sinTheta_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i v))))>
#<alt (*.f32 sinTheta_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i v))))>
#<alt (*.f32 sinTheta_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.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 cosTheta_O cosTheta_i) (*.f32 sinTheta_i v))) (/.f32 sinTheta_O v))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i v))) (/.f32 sinTheta_O v))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i v))) (/.f32 sinTheta_O v))))>
#<alt (exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))>
#<alt (+.f32 (exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 (exp.f32 (*.f32 (log.f32 (E.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))))) (log.f32 (E.f32))))) v))>
#<alt (+.f32 (exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) (*.f32 cosTheta_O (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta_O (*.f32 (pow.f32 cosTheta_i #s(literal 2 binary32)) (*.f32 (exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) (pow.f32 (log.f32 (E.f32)) #s(literal 2 binary32))))) (pow.f32 v #s(literal 2 binary32)))) (/.f32 (*.f32 cosTheta_i (*.f32 (exp.f32 (*.f32 (log.f32 (E.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))))) (log.f32 (E.f32)))) v))))>
#<alt (+.f32 (exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) (*.f32 cosTheta_O (+.f32 (*.f32 cosTheta_O (+.f32 (*.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 cosTheta_O (*.f32 (pow.f32 cosTheta_i #s(literal 3 binary32)) (*.f32 (exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) (pow.f32 (log.f32 (E.f32)) #s(literal 3 binary32))))) (pow.f32 v #s(literal 3 binary32)))) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (pow.f32 cosTheta_i #s(literal 2 binary32)) (*.f32 (exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) (pow.f32 (log.f32 (E.f32)) #s(literal 2 binary32)))) (pow.f32 v #s(literal 2 binary32)))))) (/.f32 (*.f32 cosTheta_i (*.f32 (exp.f32 (*.f32 (log.f32 (E.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))))) (log.f32 (E.f32)))) v))))>
#<alt (exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))>
#<alt (exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))>
#<alt (exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))>
#<alt (exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))>
#<alt (exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))>
#<alt (exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))>
#<alt (exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))>
#<alt (exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))>
#<alt (exp.f32 (*.f32 (log.f32 (E.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)))))>
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#<alt (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (log.f32 (E.f32)) (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)))) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 (pow.f32 (log.f32 (E.f32)) #s(literal 3 binary32)) (pow.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 3 binary32))) v)) (*.f32 #s(literal 1/2 binary32) (*.f32 (pow.f32 (log.f32 (E.f32)) #s(literal 2 binary32)) (pow.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 2 binary32))))) v))) v)))>
#<alt (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (log.f32 (E.f32)) v))))>
#<alt (+.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (log.f32 (E.f32)) v)))) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (log.f32 (E.f32)) v))) (log.f32 (E.f32)))))) v))>
#<alt (+.f32 (*.f32 cosTheta_O (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta_O (*.f32 (pow.f32 cosTheta_i #s(literal 2 binary32)) (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (log.f32 (E.f32)) v))) (pow.f32 (log.f32 (E.f32)) #s(literal 2 binary32)))))) (pow.f32 v #s(literal 2 binary32)))) (/.f32 (*.f32 cosTheta_i (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (log.f32 (E.f32)) v))) (log.f32 (E.f32))))) v))) (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (log.f32 (E.f32)) v)))))>
#<alt (+.f32 (*.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)) (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (log.f32 (E.f32)) v))) (pow.f32 (log.f32 (E.f32)) #s(literal 3 binary32)))))) (pow.f32 v #s(literal 3 binary32)))) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (pow.f32 cosTheta_i #s(literal 2 binary32)) (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (log.f32 (E.f32)) v))) (pow.f32 (log.f32 (E.f32)) #s(literal 2 binary32))))) (pow.f32 v #s(literal 2 binary32)))))) (/.f32 (*.f32 cosTheta_i (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (log.f32 (E.f32)) v))) (log.f32 (E.f32))))) v))) (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (log.f32 (E.f32)) v)))))>
#<alt (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (/.f32 (*.f32 (log.f32 (E.f32)) (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32))) v)))>
#<alt (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (/.f32 (*.f32 (log.f32 (E.f32)) (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32))) v)))>
#<alt (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (/.f32 (*.f32 (log.f32 (E.f32)) (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32))) v)))>
#<alt (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (/.f32 (*.f32 (log.f32 (E.f32)) (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32))) v)))>
#<alt (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (/.f32 (*.f32 (log.f32 (E.f32)) (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32))) v)))>
#<alt (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (/.f32 (*.f32 (log.f32 (E.f32)) (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32))) v)))>
#<alt (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (/.f32 (*.f32 (log.f32 (E.f32)) (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32))) v)))>
#<alt (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (/.f32 (*.f32 (log.f32 (E.f32)) (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32))) v)))>
#<alt (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (log.f32 (E.f32)) v))))>
#<alt (+.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (log.f32 (E.f32)) v)))) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (log.f32 (E.f32)) v))) (log.f32 (E.f32)))))) v))>
#<alt (+.f32 (*.f32 cosTheta_i (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (pow.f32 cosTheta_O #s(literal 2 binary32)) (*.f32 cosTheta_i (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (log.f32 (E.f32)) v))) (pow.f32 (log.f32 (E.f32)) #s(literal 2 binary32)))))) (pow.f32 v #s(literal 2 binary32)))) (/.f32 (*.f32 cosTheta_O (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (log.f32 (E.f32)) v))) (log.f32 (E.f32))))) v))) (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (log.f32 (E.f32)) v)))))>
#<alt (+.f32 (*.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 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (log.f32 (E.f32)) v))) (pow.f32 (log.f32 (E.f32)) #s(literal 3 binary32)))))) (pow.f32 v #s(literal 3 binary32)))) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (pow.f32 cosTheta_O #s(literal 2 binary32)) (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (log.f32 (E.f32)) v))) (pow.f32 (log.f32 (E.f32)) #s(literal 2 binary32))))) (pow.f32 v #s(literal 2 binary32)))))) (/.f32 (*.f32 cosTheta_O (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (log.f32 (E.f32)) v))) (log.f32 (E.f32))))) v))) (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (log.f32 (E.f32)) v)))))>
#<alt (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (/.f32 (*.f32 (log.f32 (E.f32)) (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32))) v)))>
#<alt (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (/.f32 (*.f32 (log.f32 (E.f32)) (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32))) v)))>
#<alt (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (/.f32 (*.f32 (log.f32 (E.f32)) (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32))) v)))>
#<alt (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (/.f32 (*.f32 (log.f32 (E.f32)) (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32))) v)))>
#<alt (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (/.f32 (*.f32 (log.f32 (E.f32)) (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32))) v)))>
#<alt (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (/.f32 (*.f32 (log.f32 (E.f32)) (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32))) v)))>
#<alt (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (/.f32 (*.f32 (log.f32 (E.f32)) (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32))) v)))>
#<alt (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (/.f32 (*.f32 (log.f32 (E.f32)) (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32))) v)))>
#<alt (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (/.f32 (*.f32 (log.f32 (E.f32)) (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32))) v)))>
#<alt (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (/.f32 (*.f32 (log.f32 (E.f32)) (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32))) v)))>
#<alt (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (/.f32 (*.f32 (log.f32 (E.f32)) (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32))) v)))>
#<alt (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (/.f32 (*.f32 (log.f32 (E.f32)) (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32))) v)))>
#<alt (exp.f32 #s(literal 6931/10000 binary32))>
#<alt (+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 (log.f32 (E.f32)) (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)))) v))>
#<alt (+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 (pow.f32 (log.f32 (E.f32)) #s(literal 2 binary32)) (pow.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 2 binary32)))) (pow.f32 v #s(literal 2 binary32)))) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 (log.f32 (E.f32)) (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)))) v)))>
#<alt (+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (+.f32 (*.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 (pow.f32 (log.f32 (E.f32)) #s(literal 3 binary32)) (pow.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 3 binary32)))) (pow.f32 v #s(literal 3 binary32)))) (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 (pow.f32 (log.f32 (E.f32)) #s(literal 2 binary32)) (pow.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 2 binary32)))) (pow.f32 v #s(literal 2 binary32)))) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 (log.f32 (E.f32)) (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)))) v))))>
#<alt (exp.f32 #s(literal 6931/10000 binary32))>
#<alt (+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 (log.f32 (E.f32)) (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)))) v))>
#<alt (+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 (log.f32 (E.f32)) (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 (pow.f32 (log.f32 (E.f32)) #s(literal 2 binary32)) (pow.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 2 binary32)))) v))) v)))>
#<alt (+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 (log.f32 (E.f32)) (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32))))) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 (pow.f32 (log.f32 (E.f32)) #s(literal 3 binary32)) (pow.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 3 binary32)))) v)) (*.f32 #s(literal 1/2 binary32) (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 (pow.f32 (log.f32 (E.f32)) #s(literal 2 binary32)) (pow.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 2 binary32)))))) v))) v)))>
Calls

87 calls:

TimeVariablePointExpression
9.0ms
v
@inf
(* (/ 1/2 v) (* (pow (E) (/ (- (* cosTheta_O cosTheta_i) 1) v)) (exp 6931/10000)))
4.0ms
sinTheta_i
@0
(+ (- (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v) (/ 1 v)) (+ 6931/10000 (log (/ 1/2 v))))
3.0ms
cosTheta_O
@-inf
(* (/ 1/2 v) (* (pow (E) (/ (- (* cosTheta_O cosTheta_i) 1) v)) (exp 6931/10000)))
3.0ms
cosTheta_O
@0
(* (/ 1/2 v) (* (pow (E) (/ (- (* cosTheta_O cosTheta_i) 1) v)) (exp 6931/10000)))
3.0ms
v
@0
(* (/ 1/2 v) (* (pow (E) (/ (- (* cosTheta_O cosTheta_i) 1) v)) (exp 6931/10000)))

rewrite131.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
344×log1p-expm1-u
344×expm1-log1p-u
339×add-exp-log
337×add-log-exp
334×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
043460
1741432
Stop Event
1×node limit
Counts
11 → 221
Calls
Call 1
Inputs
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)
(pow.f32 (E.f32) (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) 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 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))
(*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
(*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 (pow.f32 (E.f32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)) (exp.f32 #s(literal 6931/10000 binary32))))
(pow.f32 (E.f32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))
(*.f32 (pow.f32 (E.f32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)) (exp.f32 #s(literal 6931/10000 binary32)))
Outputs
(-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (*.f32 sinTheta_O sinTheta_i))) v))) #s(literal 1 binary32))
(*.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (*.f32 sinTheta_O sinTheta_i))) (/.f32 #s(literal 1 binary32) v))
(*.f32 #s(literal 1 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (*.f32 sinTheta_O sinTheta_i))) v))
(*.f32 (pow.f32 (cbrt.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (*.f32 sinTheta_O sinTheta_i))) v)) #s(literal 2 binary32)) (cbrt.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (*.f32 sinTheta_O sinTheta_i))) v)))
(*.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (*.f32 sinTheta_O sinTheta_i))) v)) (sqrt.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (*.f32 sinTheta_O sinTheta_i))) v)))
(pow.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (*.f32 sinTheta_O sinTheta_i))) v) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (*.f32 sinTheta_O sinTheta_i))) v)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (*.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 (neg.f32 (*.f32 sinTheta_O sinTheta_i))) v)) #s(literal 2 binary32))
(pow.f32 (/.f32 v (fma.f32 cosTheta_O cosTheta_i (neg.f32 (*.f32 sinTheta_O sinTheta_i)))) #s(literal -1 binary32))
(sqrt.f32 (pow.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (*.f32 sinTheta_O sinTheta_i))) v) #s(literal 2 binary32)))
(log.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (*.f32 sinTheta_O sinTheta_i))) v)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (*.f32 sinTheta_O sinTheta_i))) v))))
(cbrt.f32 (pow.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (*.f32 sinTheta_O sinTheta_i))) v) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (*.f32 sinTheta_O sinTheta_i))) v)))
(log1p.f32 (expm1.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (*.f32 sinTheta_O sinTheta_i))) v)))
(exp.f32 (log.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (*.f32 sinTheta_O sinTheta_i))) v)))
(exp.f32 (*.f32 (log.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (*.f32 sinTheta_O sinTheta_i))) v)) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (*.f32 sinTheta_O sinTheta_i))) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1/2 binary32) v)))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (*.f32 sinTheta_O sinTheta_i))) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1/2 binary32) v)))
(*.f32 (exp.f32 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (*.f32 sinTheta_O sinTheta_i))) #s(literal 1 binary32)) v)) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))))
(*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (*.f32 sinTheta_O sinTheta_i))) #s(literal 1 binary32)) v)))
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(pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)) #s(literal 2 binary32)))
(log.f32 (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))))
(cbrt.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
(log1p.f32 (expm1.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
(exp.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
(exp.f32 (*.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))) #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))
(fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))
(fma.f32 (cbrt.f32 (pow.f32 v #s(literal -2 binary32))) (/.f32 #s(literal 1 binary32) (cbrt.f32 v)) #s(literal 6931/10000 binary32))
(fma.f32 (pow.f32 v #s(literal -1/2 binary32)) (pow.f32 v #s(literal -1/2 binary32)) #s(literal 6931/10000 binary32))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 #s(literal 1 binary32) v))))) #s(literal 1 binary32))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v))) v)
(pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 #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 1 binary32) v)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 #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 1 binary32) v)))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.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 1/2 binary32) v) (exp.f32 (/.f32 #s(literal 1 binary32) v))))))
(cbrt.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 #s(literal 1 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 #s(literal 1 binary32) v)) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #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 (/.f32 #s(literal 1 binary32) v)))))
(log1p.f32 (expm1.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 #s(literal 1 binary32) v)))))
(exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))
(exp.f32 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 #s(literal 1 binary32) v))) (exp.f32 #s(literal 6931/10000 binary32))))) #s(literal 1 binary32))
(pow.f32 (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 #s(literal 1 binary32) v))) (exp.f32 #s(literal 6931/10000 binary32))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 #s(literal 1 binary32) v))) (exp.f32 #s(literal 6931/10000 binary32)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 #s(literal 1 binary32) v))) (exp.f32 #s(literal 6931/10000 binary32))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 #s(literal 1 binary32) v))) (exp.f32 #s(literal 6931/10000 binary32)))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 #s(literal 1 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 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 #s(literal 1 binary32) v)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 #s(literal 1 binary32) v))) (exp.f32 #s(literal 6931/10000 binary32))))))
(cbrt.f32 (pow.f32 (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 #s(literal 1 binary32) v))) (exp.f32 #s(literal 6931/10000 binary32))) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 #s(literal 1 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 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 #s(literal 1 binary32) v))) (exp.f32 #s(literal 6931/10000 binary32)))))
(log1p.f32 (expm1.f32 (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 #s(literal 1 binary32) v))) (exp.f32 #s(literal 6931/10000 binary32)))))
(exp.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 (+.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 (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 (*.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)
(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 (/.f32 #s(literal 1/2 binary32) v) #s(literal 3 binary32)) (pow.f32 (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 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) #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 (+.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 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(exp.f32 (*.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.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 (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 (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 (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 (pow.f32 #s(literal 1 binary32) (/.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 (pow.f32 (cbrt.f32 (exp.f32 #s(literal 2 binary32))) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (pow.f32 (cbrt.f32 (E.f32)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(*.f32 (pow.f32 (sqrt.f32 (E.f32)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (pow.f32 (sqrt.f32 (E.f32)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(/.f32 (pow.f32 (E.f32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 (exp.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (exp.f32 (/.f32 #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))))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(-.f32 (exp.f32 (log1p.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))) #s(literal 1 binary32))
(pow.f32 (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 (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 (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 (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 (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 (exp.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))))
(cbrt.f32 (pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 3 binary32)) (pow.f32 (exp.f32 (/.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 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))))
(log1p.f32 (expm1.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(exp.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) #s(literal 1 binary32)))

simplify336.0ms (2.4%)

Algorithm
1×egg-herbie
Rules
1320×fma-define
1294×times-frac
816×distribute-lft-in
810×distribute-rgt-in
696×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0119740838
1349935859
Stop Event
1×node limit
Counts
557 → 611
Calls
Call 1
Inputs
(*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_O v))) (/.f32 cosTheta_i v)))
(*.f32 cosTheta_O (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_O v))) (/.f32 cosTheta_i v)))
(*.f32 cosTheta_O (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_O v))) (/.f32 cosTheta_i v)))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 #s(literal -1 binary32) (*.f32 cosTheta_O (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 cosTheta_i v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_O v)))))
(*.f32 #s(literal -1 binary32) (*.f32 cosTheta_O (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 cosTheta_i v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_O v)))))
(*.f32 #s(literal -1 binary32) (*.f32 cosTheta_O (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 cosTheta_i v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_O v)))))
(*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_i v))) (/.f32 cosTheta_O v)))
(*.f32 cosTheta_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_i v))) (/.f32 cosTheta_O v)))
(*.f32 cosTheta_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_i v))) (/.f32 cosTheta_O v)))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 #s(literal -1 binary32) (*.f32 cosTheta_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 cosTheta_O v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_i v)))))
(*.f32 #s(literal -1 binary32) (*.f32 cosTheta_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 cosTheta_O v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_i v)))))
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(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
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(-.f32 (exp.f32 (log1p.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))) #s(literal 2 binary32)) (cbrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
(*.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
(/.f32 (+.f32 #s(literal 332956652491/1000000000000 binary32) (pow.f32 v #s(literal -3 binary32))) (+.f32 #s(literal 48038761/100000000 binary32) (-.f32 (pow.f32 v #s(literal -2 binary32)) (*.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (-.f32 #s(literal 48038761/100000000 binary32) (pow.f32 v #s(literal -2 binary32))) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))
(pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)) #s(literal 2 binary32)))
(log.f32 (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))))
(cbrt.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
(log1p.f32 (expm1.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
(exp.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
(exp.f32 (*.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))) #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))
(fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))
(fma.f32 (cbrt.f32 (pow.f32 v #s(literal -2 binary32))) (/.f32 #s(literal 1 binary32) (cbrt.f32 v)) #s(literal 6931/10000 binary32))
(fma.f32 (pow.f32 v #s(literal -1/2 binary32)) (pow.f32 v #s(literal -1/2 binary32)) #s(literal 6931/10000 binary32))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 #s(literal 1 binary32) v))))) #s(literal 1 binary32))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v))) v)
(pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 #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 1 binary32) v)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 #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 1 binary32) v)))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.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 1/2 binary32) v) (exp.f32 (/.f32 #s(literal 1 binary32) v))))))
(cbrt.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 #s(literal 1 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 #s(literal 1 binary32) v)) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #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 (/.f32 #s(literal 1 binary32) v)))))
(log1p.f32 (expm1.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 #s(literal 1 binary32) v)))))
(exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))
(exp.f32 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 #s(literal 1 binary32) v))) (exp.f32 #s(literal 6931/10000 binary32))))) #s(literal 1 binary32))
(pow.f32 (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 #s(literal 1 binary32) v))) (exp.f32 #s(literal 6931/10000 binary32))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 #s(literal 1 binary32) v))) (exp.f32 #s(literal 6931/10000 binary32)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 #s(literal 1 binary32) v))) (exp.f32 #s(literal 6931/10000 binary32))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 #s(literal 1 binary32) v))) (exp.f32 #s(literal 6931/10000 binary32)))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 #s(literal 1 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 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 #s(literal 1 binary32) v)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 #s(literal 1 binary32) v))) (exp.f32 #s(literal 6931/10000 binary32))))))
(cbrt.f32 (pow.f32 (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 #s(literal 1 binary32) v))) (exp.f32 #s(literal 6931/10000 binary32))) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 #s(literal 1 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 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 #s(literal 1 binary32) v))) (exp.f32 #s(literal 6931/10000 binary32)))))
(log1p.f32 (expm1.f32 (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 #s(literal 1 binary32) v))) (exp.f32 #s(literal 6931/10000 binary32)))))
(exp.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 (+.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 (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 (*.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)
(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 (/.f32 #s(literal 1/2 binary32) v) #s(literal 3 binary32)) (pow.f32 (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 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) #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 (+.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 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(exp.f32 (*.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.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 (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 (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 (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 (pow.f32 #s(literal 1 binary32) (/.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 (pow.f32 (cbrt.f32 (exp.f32 #s(literal 2 binary32))) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (pow.f32 (cbrt.f32 (E.f32)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(*.f32 (pow.f32 (sqrt.f32 (E.f32)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (pow.f32 (sqrt.f32 (E.f32)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(/.f32 (pow.f32 (E.f32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 (exp.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (exp.f32 (/.f32 #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))))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(-.f32 (exp.f32 (log1p.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))) #s(literal 1 binary32))
(pow.f32 (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 (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 (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 (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 (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 (exp.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))))
(cbrt.f32 (pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 3 binary32)) (pow.f32 (exp.f32 (/.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 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))))
(log1p.f32 (expm1.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(exp.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) #s(literal 1 binary32)))
Outputs
(*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v)
(*.f32 sinTheta_O (/.f32 (neg.f32 sinTheta_i) v))
(+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)
(+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)
(+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(*.f32 cosTheta_O (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_O v))) (/.f32 cosTheta_i v)))
(*.f32 cosTheta_O (fma.f32 #s(literal -1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i (*.f32 v cosTheta_O))) (/.f32 cosTheta_i v)))
(*.f32 cosTheta_O (-.f32 (/.f32 cosTheta_i v) (*.f32 sinTheta_O (/.f32 sinTheta_i (*.f32 v cosTheta_O)))))
(*.f32 cosTheta_O (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_O v))) (/.f32 cosTheta_i v)))
(*.f32 cosTheta_O (fma.f32 #s(literal -1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i (*.f32 v cosTheta_O))) (/.f32 cosTheta_i v)))
(*.f32 cosTheta_O (-.f32 (/.f32 cosTheta_i v) (*.f32 sinTheta_O (/.f32 sinTheta_i (*.f32 v cosTheta_O)))))
(*.f32 cosTheta_O (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_O v))) (/.f32 cosTheta_i v)))
(*.f32 cosTheta_O (fma.f32 #s(literal -1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i (*.f32 v cosTheta_O))) (/.f32 cosTheta_i v)))
(*.f32 cosTheta_O (-.f32 (/.f32 cosTheta_i v) (*.f32 sinTheta_O (/.f32 sinTheta_i (*.f32 v cosTheta_O)))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(*.f32 #s(literal -1 binary32) (*.f32 cosTheta_O (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 cosTheta_i v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_O v)))))
(neg.f32 (*.f32 cosTheta_O (fma.f32 #s(literal -1 binary32) (/.f32 cosTheta_i v) (*.f32 sinTheta_O (/.f32 sinTheta_i (*.f32 v cosTheta_O))))))
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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 (log.f32 (/.f32 #s(literal 1/2 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 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))) (/.f32 #s(literal 1 binary32) v))
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(*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v)
(*.f32 sinTheta_O (/.f32 (neg.f32 sinTheta_i) v))
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(*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v)
(*.f32 sinTheta_O (/.f32 (neg.f32 sinTheta_i) v))
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(exp.f32 (*.f32 #s(literal 1 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
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(exp.f32 (*.f32 #s(literal 1 binary32) (/.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 (pow.f32 (cbrt.f32 (exp.f32 #s(literal 2 binary32))) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (pow.f32 (cbrt.f32 (E.f32)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(*.f32 (pow.f32 (sqrt.f32 (E.f32)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (pow.f32 (sqrt.f32 (E.f32)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(pow.f32 (sqrt.f32 (E.f32)) (*.f32 #s(literal 2 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(/.f32 (pow.f32 (E.f32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v)))
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(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
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(log.f32 (exp.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(exp.f32 (*.f32 #s(literal 1 binary32) (/.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)))))
(exp.f32 (*.f32 #s(literal 1 binary32) (/.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)))
(exp.f32 (*.f32 #s(literal 1 binary32) (/.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))))
(log1p.f32 (expm1.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(exp.f32 (*.f32 #s(literal 1 binary32) (/.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))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(exp.f32 (*.f32 #s(literal 1 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(-.f32 (exp.f32 (log1p.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))) #s(literal 1 binary32))
(expm1.f32 (log1p.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))))
(pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) #s(literal 1 binary32))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (*.f32 #s(literal 1 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(pow.f32 (cbrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))) #s(literal 3 binary32))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (*.f32 #s(literal 1 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
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(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (*.f32 #s(literal 1 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(pow.f32 (sqrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))) #s(literal 2 binary32))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (*.f32 #s(literal 1 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
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(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (*.f32 #s(literal 1 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
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(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (*.f32 #s(literal 1 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
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(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (*.f32 #s(literal 1 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (*.f32 #s(literal 1 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(exp.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) #s(literal 1 binary32)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (*.f32 #s(literal 1 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))

eval408.0ms (2.9%)

Compiler

Compiled 20976 to 13710 computations (34.6% saved)

prune167.0ms (1.2%)

Pruning

12 alts after pruning (8 fresh and 4 done)

PrunedKeptTotal
New7094713
Fresh145
Picked325
Done022
Total71312725
Accuracy
99.9%
Counts
725 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.4%
(pow.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v))))) #s(literal 2 binary32))
99.4%
(pow.f32 (cbrt.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v))))) #s(literal 3 binary32))
99.4%
(pow.f32 (E.f32) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 #s(literal 1 binary32) v)))
99.4%
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (E.f32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) #s(literal -1 binary32)) v))))
✓99.3%
(*.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
97.6%
(*.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))
✓99.3%
(*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v))
99.4%
(*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (E.f32) (/.f32 #s(literal -1 binary32) v))))
✓99.8%
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))) v))
97.8%
(exp.f32 (/.f32 #s(literal -1 binary32) v))
99.4%
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))
✓6.5%
#s(literal 1 binary32)
Compiler

Compiled 762 to 513 computations (32.7% saved)

regimes89.0ms (0.6%)

Counts
38 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(/.f32 #s(literal 1/2 binary32) v)
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) sinTheta_O) sinTheta_i) v)) v)
(exp.f32 (/.f32 #s(literal -1 binary32) v))
(exp.f32 (/.f32 (*.f32 cosTheta_O cosTheta_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 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))
(*.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v))
(*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)))))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))) v))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (E.f32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) #s(literal -1 binary32)) v))))
(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 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(*.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
(*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (E.f32) (/.f32 #s(literal -1 binary32) v))))
(*.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1/2 binary32) v)) (pow.f32 (E.f32) (/.f32 #s(literal -1 binary32) v)))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 (pow.f32 (E.f32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)) (exp.f32 #s(literal 6931/10000 binary32))))
(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 #s(literal 1/2 binary32) v) (*.f32 (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1 binary32) v))) (exp.f32 #s(literal 6931/10000 binary32))))
(pow.f32 (E.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 (*.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) (*.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 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 #s(literal 1 binary32)) (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))))
(pow.f32 (E.f32) (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) 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)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 (pow.f32 (E.f32) (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v)) (exp.f32 #s(literal 6931/10000 binary32))))
(pow.f32 (cbrt.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v))))) #s(literal 3 binary32))
(pow.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v))))) #s(literal 2 binary32))
(pow.f32 (cbrt.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))))) #s(literal 3 binary32))
(pow.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))))) #s(literal 2 binary32))
Outputs
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))) v))
Calls

9 calls:

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

regimes26.0ms (0.2%)

Counts
13 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(/.f32 #s(literal 1/2 binary32) v)
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) sinTheta_O) sinTheta_i) v)) v)
(exp.f32 (/.f32 #s(literal -1 binary32) v))
(exp.f32 (/.f32 (*.f32 cosTheta_O cosTheta_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 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))
(*.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v))
(*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)))))
Outputs
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v))
Calls

5 calls:

7.0ms
cosTheta_i
5.0ms
sinTheta_i
5.0ms
v
4.0ms
cosTheta_O
4.0ms
sinTheta_O
Results
AccuracySegmentsBranch
99.7%1cosTheta_i
99.7%1cosTheta_O
99.7%1sinTheta_i
99.7%1sinTheta_O
99.7%1v
Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes19.0ms (0.1%)

Counts
10 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(/.f32 #s(literal 1/2 binary32) v)
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) sinTheta_O) sinTheta_i) v)) v)
(exp.f32 (/.f32 #s(literal -1 binary32) v))
(exp.f32 (/.f32 (*.f32 cosTheta_O cosTheta_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 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))
(*.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))
Outputs
(exp.f32 (/.f32 #s(literal -1 binary32) v))
Calls

5 calls:

4.0ms
sinTheta_i
3.0ms
sinTheta_O
3.0ms
cosTheta_i
3.0ms
cosTheta_O
3.0ms
v
Results
AccuracySegmentsBranch
97.8%1cosTheta_i
97.8%1cosTheta_O
97.8%1sinTheta_i
97.8%1sinTheta_O
97.8%1v
Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes10.0ms (0.1%)

Accuracy

Total -0.6b remaining (-2%)

Threshold costs -0.6b (-2%)

Counts
4 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(/.f32 #s(literal 1/2 binary32) v)
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) sinTheta_O) sinTheta_i) v)) v)
Outputs
#s(literal 1 binary32)
Calls

5 calls:

3.0ms
cosTheta_i
2.0ms
sinTheta_i
2.0ms
v
2.0ms
cosTheta_O
2.0ms
sinTheta_O
Results
AccuracySegmentsBranch
6.5%1cosTheta_i
6.5%1sinTheta_i
6.5%1sinTheta_O
6.5%1cosTheta_O
6.5%1v
Compiler

Compiled 30 to 25 computations (16.7% saved)

simplify6.0ms (0%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
028103
141103
254103
367103
490103
598103
6103103
7105103
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))) v))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v))
(exp.f32 (/.f32 #s(literal -1 binary32) v))
#s(literal 1 binary32)
Outputs
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))) v))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))) v))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) v))
(exp.f32 (/.f32 #s(literal -1 binary32) v))
#s(literal 1 binary32)
Compiler

Compiled 49 to 42 computations (14.3% saved)

soundness127.0ms (0.9%)

Rules
1590×exp-diff
1500×times-frac
914×fma-neg
660×fma-define
552×associate-+l-
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01732130
14851898
214481854
357471854
Stop Event
1×node limit
Compiler

Compiled 416 to 223 computations (46.4% saved)

end0.0ms (0%)

preprocess63.0ms (0.5%)

Remove

(sort sinTheta_i sinTheta_O)

(sort cosTheta_i cosTheta_O)

Compiler

Compiled 508 to 398 computations (21.7% saved)

Profiling

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