HairBSDF, Mp, lower

Time bar (total: 14.2s)

analyze1.0s (7.2%)

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
50%0.7%0.7%97%0%1.5%0%11
50%0.7%0.7%97%0%1.5%0%12
Compiler

Compiled 69 to 51 computations (26.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 277.0ms
Operation ival-mult, time spent: 105.0ms, 38.0% of total-time
Operation ival-<=, time spent: 63.0ms, 23.0% of total-time
Operation ival-div, time spent: 23.0ms, 8.0% of total-time
Operation ival-add, time spent: 17.0ms, 6.0% of total-time
Operation ival-sub, time spent: 17.0ms, 6.0% of total-time
Operation ival-and, time spent: 15.0ms, 5.0% of total-time
Operation ival-log, time spent: 14.0ms, 5.0% of total-time
Operation const, time spent: 12.0ms, 4.0% of total-time
Operation ival-exp, time spent: 10.0ms, 4.0% of total-time

sample3.6s (25.3%)

Results
3.1s8255×256valid
37.0ms125×256invalid
0.0ms1×256valid
Precisions
Click to see histograms. Total time spent on operations: 1.5s
Operation ival-<=, time spent: 404.0ms, 27.0% of total-time
Operation ival-div, time spent: 279.0ms, 19.0% of total-time
Operation ival-mult, time spent: 207.0ms, 14.0% of total-time
Operation ival-log, time spent: 177.0ms, 12.0% of total-time
Operation ival-add, time spent: 103.0ms, 7.0% of total-time
Operation ival-sub, time spent: 88.0ms, 6.0% of total-time
Operation ival-and, time spent: 83.0ms, 6.0% of total-time
Operation ival-exp, time spent: 74.0ms, 5.0% of total-time
Operation const, time spent: 64.0ms, 4.0% of total-time
Bogosity

preprocess606.0ms (4.3%)

Algorithm
1×egg-herbie
Rules
795×exp-diff
750×times-frac
457×fma-neg
330×fma-define
276×associate-+l-
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
874(-2.1090033795737275e-23 3.685779486691426e-28 -4.877526293878239e-30 4.783846816280857e-5 2.5039237243618118e-6)29(-5.584402751614266e-24 4.649235679720349e-22 2.1889552754129695e-26 5.535364963197798e-19 3.2358246244257316e-5)(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
853(-1.4303170203788795e-8 1.0037653709202018e-33 -1.1150262381018226e-22 2.493354635284315e-24 0.033964741975069046)29(-1.0091744504132655e-14 -2.8039566679646234e-35 3.9589215640109804e-26 4.8316970067377625e-15 2.4392836318172245e-22)(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
09(-5.7322468862842965e-28 1.3703777363314777e-22 -2.9899712677042467e-32 -4.627043771021556e-34 0.005325400270521641)0-(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
00-0-cosTheta_O
00-0-(-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v))
00-0-(-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
00-0-#s(literal 6931/10000 binary32)
00-0-(*.f32 cosTheta_i cosTheta_O)
00-0-#s(literal 1 binary32)
00-0-(log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))
00-0-(*.f32 sinTheta_i sinTheta_O)
00-0-(*.f32 #s(literal 2 binary32) v)
00-0-sinTheta_O
00-0-(+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))
00-0-v
00-0-cosTheta_i
00-0-sinTheta_i
00-0-(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))
00-0-#s(literal 2 binary32)
00-0-(/.f32 #s(literal 1 binary32) v)
00-0-(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01732130
14851898
214481854
357471854
Stop Event
1×node limit
Calls
Call 1
Inputs
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 (neg.f32 cosTheta_i) cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i (neg.f32 cosTheta_O)) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 (neg.f32 sinTheta_i) sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (neg.f32 v)) (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (/.f32 #s(literal 1 binary32) (neg.f32 v))) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 v))))))
(neg.f32 (exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 (neg.f32 cosTheta_i) cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))))
(neg.f32 (exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i (neg.f32 cosTheta_O)) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))))
(neg.f32 (exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 (neg.f32 sinTheta_i) sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))))
(neg.f32 (exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))))
(neg.f32 (exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (neg.f32 v)) (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (/.f32 #s(literal 1 binary32) (neg.f32 v))) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 v)))))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 sinTheta_i cosTheta_O) v) (/.f32 (*.f32 cosTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 sinTheta_O cosTheta_O) v) (/.f32 (*.f32 sinTheta_i cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 v cosTheta_O) cosTheta_i) (/.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i)) (/.f32 #s(literal 1 binary32) cosTheta_i)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta_i)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i sinTheta_i) v) (/.f32 (*.f32 cosTheta_O sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i sinTheta_O) v) (/.f32 (*.f32 sinTheta_i cosTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i v) cosTheta_O) (/.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_O)) (/.f32 #s(literal 1 binary32) cosTheta_O)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta_O)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) sinTheta_i) (/.f32 (*.f32 v sinTheta_O) sinTheta_i)) (/.f32 #s(literal 1 binary32) sinTheta_i)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) sinTheta_i)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) sinTheta_O) (/.f32 (*.f32 sinTheta_i v) sinTheta_O)) (/.f32 #s(literal 1 binary32) sinTheta_O)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) sinTheta_O)))))
Outputs
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 (neg.f32 cosTheta_i) cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (*.f32 cosTheta_i (/.f32 (neg.f32 cosTheta_O) v)) (+.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 #s(literal 1 binary32) v))))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 (*.f32 cosTheta_i (/.f32 (neg.f32 cosTheta_O) v)) (-.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 (-.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: 141.0ms
Operation ival-div, time spent: 48.0ms, 34.0% of total-time
Operation ival-log, time spent: 28.0ms, 20.0% of total-time
Operation ival-mult, time spent: 26.0ms, 18.0% of total-time
Operation ival-add, time spent: 14.0ms, 10.0% of total-time
Operation ival-sub, time spent: 13.0ms, 9.0% of total-time
Operation const, time spent: 6.0ms, 4.0% of total-time
Operation ival-exp, time spent: 5.0ms, 4.0% of total-time

eval2.0ms (0%)

Compiler

Compiled 91 to 53 computations (41.8% saved)

prune2.0ms (0%)

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

Compiled 54 to 38 computations (29.6% saved)

localize636.0ms (4.5%)

Localize:

Found 8 expressions with local error:

NewAccuracyProgram
✓100.0%
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))))
✓99.8%
(+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))
✓99.7%
(exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32)))
✓99.5%
(*.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)))))
✓99.7%
(+.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))))
✓99.5%
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
✓99.3%
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
Compiler

Compiled 216 to 90 computations (58.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 140.0ms
Operation ival-div, time spent: 40.0ms, 29.0% of total-time
Operation ival-add, time spent: 25.0ms, 18.0% of total-time
Operation composed, time spent: 20.0ms, 14.0% of total-time
Operation ival-log, time spent: 17.0ms, 12.0% of total-time
Operation ival-mult, time spent: 17.0ms, 12.0% 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

series106.0ms (0.7%)

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

102 calls:

TimeVariablePointExpression
9.0ms
cosTheta_i
@0
(+ (- (* cosTheta_i (/ cosTheta_O v)) (+ (* sinTheta_i (/ sinTheta_O v)) (/ 1 v))) (+ 6931/10000 (log (/ 1/2 v))))
7.0ms
v
@-inf
(+ (- (* cosTheta_i (/ cosTheta_O v)) (+ (* sinTheta_i (/ sinTheta_O v)) (/ 1 v))) (+ 6931/10000 (log (/ 1/2 v))))
4.0ms
sinTheta_i
@0
(+ (- (* cosTheta_i (/ cosTheta_O v)) (+ (* sinTheta_i (/ sinTheta_O v)) (/ 1 v))) (+ 6931/10000 (log (/ 1/2 v))))
3.0ms
cosTheta_i
@-inf
(+ (- (* cosTheta_i (/ cosTheta_O v)) (+ (* sinTheta_i (/ sinTheta_O v)) (/ 1 v))) (+ 6931/10000 (log (/ 1/2 v))))
3.0ms
v
@0
(+ (- (* cosTheta_i (/ cosTheta_O v)) (+ (* sinTheta_i (/ sinTheta_O v)) (/ 1 v))) (+ 6931/10000 (log (/ 1/2 v))))

rewrite369.0ms (2.6%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
035465
1518432
27461432
Stop Event
1×node limit
Counts
8 → 268
Calls
Call 1
Inputs
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))
(exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32)))
(+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))))
Outputs
(-.f32 (exp.f32 (log1p.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)))) #s(literal 1 binary32))
(/.f32 sinTheta_i (/.f32 v sinTheta_O))
(/.f32 #s(literal 1 binary32) (/.f32 v (*.f32 sinTheta_i sinTheta_O)))
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(/.f32 (neg.f32 (*.f32 sinTheta_i sinTheta_O)) (neg.f32 v))
(/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) (neg.f32 v))
(/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) (neg.f32 v))
(/.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) v)
(/.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (pow.f32 (cbrt.f32 v) #s(literal 2 binary32))) (cbrt.f32 v))
(/.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (sqrt.f32 v)) (sqrt.f32 v))
(pow.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) sinTheta_i))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)))))
(cbrt.f32 (pow.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v))))
(log1p.f32 (expm1.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v))))
(exp.f32 (log.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v))))
(exp.f32 (*.f32 (log.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)))) #s(literal 1 binary32))
(/.f32 cosTheta_i (/.f32 v cosTheta_O))
(/.f32 #s(literal 1 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (neg.f32 (*.f32 cosTheta_i cosTheta_O)) (neg.f32 v))
(/.f32 (*.f32 cosTheta_i (neg.f32 cosTheta_O)) (neg.f32 v))
(/.f32 (*.f32 (neg.f32 cosTheta_O) cosTheta_i) (neg.f32 v))
(/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v)
(/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (pow.f32 (cbrt.f32 v) #s(literal 2 binary32))) (cbrt.f32 v))
(/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (sqrt.f32 v)) (sqrt.f32 v))
(pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 (/.f32 cosTheta_O v)) cosTheta_i))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)))))
(cbrt.f32 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v))))
(log1p.f32 (expm1.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v))))
(exp.f32 (log.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v))))
(exp.f32 (*.f32 (log.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) #s(literal 1 binary32)))
(-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (-.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal -6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))
(-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
(-.f32 (exp.f32 (log1p.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))))) #s(literal 1 binary32))
(-.f32 (log.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))))) (log.f32 v))
(-.f32 (/.f32 (pow.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (+.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))) (/.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 2 binary32)) (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (+.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))))
(-.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))
(-.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)) (/.f32 #s(literal 1 binary32) v))
(-.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))) (log.f32 #s(literal 1/2 binary32))) (log.f32 v))
(*.f32 #s(literal 1 binary32) (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))))
(*.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))) #s(literal 1 binary32))
(*.f32 (cbrt.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))) (pow.f32 (cbrt.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))) #s(literal 2 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))) #s(literal 2 binary32)) (cbrt.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))))
(*.f32 (sqrt.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))) (sqrt.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))))
(*.f32 (+.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 3 binary32)) (pow.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (*.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)))))))
(*.f32 (-.f32 (pow.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (+.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (*.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v))))) (+.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 3 binary32)) (pow.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 3 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (+.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))) (-.f32 (pow.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 2 binary32)))))
(/.f32 (+.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 3 binary32)) (pow.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 3 binary32))) (+.f32 (pow.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (*.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v))))))
(/.f32 (+.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 3 binary32)) (pow.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 3 binary32))) (+.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 2 binary32)) (-.f32 (pow.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (*.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))))
(/.f32 (-.f32 (pow.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 2 binary32))) (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (+.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))))
(/.f32 (+.f32 (*.f32 (-.f32 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(literal 3 binary32)) (pow.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal 3 binary32))) (+.f32 #s(literal 48038761/100000000 binary32) (*.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32))))) (*.f32 (+.f32 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(literal 2 binary32)) (*.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))))) (+.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32)) #s(literal 332956652491/1000000000000 binary32)))) (*.f32 (+.f32 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(literal 2 binary32)) (*.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))))) (+.f32 #s(literal 48038761/100000000 binary32) (*.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32))))))
(/.f32 (+.f32 (*.f32 (-.f32 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(literal 3 binary32)) (pow.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal 3 binary32))) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) (*.f32 (+.f32 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(literal 2 binary32)) (*.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))))) (-.f32 #s(literal 48038761/100000000 binary32) (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 2 binary32))))) (*.f32 (+.f32 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(literal 2 binary32)) (*.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))))) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
(/.f32 (+.f32 (*.f32 (-.f32 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(literal 2 binary32)) (pow.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (+.f32 #s(literal 48038761/100000000 binary32) (*.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32))))) (*.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) (+.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32)) #s(literal 332956652491/1000000000000 binary32)))) (*.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 48038761/100000000 binary32) (*.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32))))))
(/.f32 (+.f32 (*.f32 (-.f32 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(literal 2 binary32)) (pow.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) (*.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) (-.f32 #s(literal 48038761/100000000 binary32) (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 2 binary32))))) (*.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
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(/.f32 (exp.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) (*.f32 v #s(literal 2 binary32)))
(/.f32 (pow.f32 (exp.f32 (/.f32 cosTheta_O v)) cosTheta_i) (exp.f32 (-.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal -6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))) v)
(/.f32 (neg.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))))) (neg.f32 v))
(/.f32 (*.f32 (exp.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) #s(literal -1/2 binary32)) (neg.f32 v))
(/.f32 (*.f32 #s(literal -1/2 binary32) (exp.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))) (neg.f32 v))
(/.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))) #s(literal 1 binary32)) v)
(/.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))) (pow.f32 (cbrt.f32 v) #s(literal 2 binary32))) (cbrt.f32 v))
(/.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))) (sqrt.f32 v)) (sqrt.f32 v))
(pow.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) v)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) v))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) v)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) v))) #s(literal 2 binary32))
(pow.f32 (exp.f32 #s(literal 1 binary32)) (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))) #s(literal 2 binary32))) (cbrt.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))))
(pow.f32 (exp.f32 (sqrt.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))))) (sqrt.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))))
(sqrt.f32 (pow.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) v)) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 (exp.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))) (/.f32 #s(literal 1/2 binary32) v)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) v)))))
(cbrt.f32 (pow.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) v)) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 #s(literal 1/2 binary32) v) #s(literal 3 binary32)) (pow.f32 (exp.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (exp.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1/2 binary32) v) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) v))))
(log1p.f32 (expm1.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) v))))
(exp.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))))

simplify393.0ms (2.8%)

Algorithm
1×egg-herbie
Rules
741×associate-*r*
646×fma-define
372×times-frac
355×distribute-rgt-in
346×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0107156980
1311453700
Stop Event
1×node limit
Counts
676 → 569
Calls
Call 1
Inputs
(/.f32 (*.f32 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 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_i)) (+.f32 (/.f32 cosTheta_O v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_i v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_i v)))))
(*.f32 cosTheta_i (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_i)) (+.f32 (/.f32 cosTheta_O v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_i v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_i v)))))
(*.f32 cosTheta_i (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_i)) (+.f32 (/.f32 cosTheta_O v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_i v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_i v)))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 #s(literal -1 binary32) (*.f32 cosTheta_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 cosTheta_O v)) (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(*.f32 #s(literal -1 binary32) (*.f32 cosTheta_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 cosTheta_O v)) (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(*.f32 #s(literal -1 binary32) (*.f32 cosTheta_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 cosTheta_O v)) (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_O)) (+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_O v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_O v)))))
(*.f32 cosTheta_O (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_O)) (+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_O v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_O v)))))
(*.f32 cosTheta_O (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_O)) (+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_O v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_O v)))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 #s(literal -1 binary32) (*.f32 cosTheta_O (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 cosTheta_i v)) (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) cosTheta_O)))))
(*.f32 #s(literal -1 binary32) (*.f32 cosTheta_O (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 cosTheta_i v)) (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) cosTheta_O)))))
(*.f32 #s(literal -1 binary32) (*.f32 cosTheta_O (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 cosTheta_i v)) (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) cosTheta_O)))))
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v)
(/.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 v)))))) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v)
(/.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 v)))))) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v)
(/.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 v)))))) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v)
(+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) v))))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (+.f32 (log.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (+.f32 (log.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
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(cbrt.f32 (*.f32 (pow.f32 (exp.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1/2 binary32) v) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) v))))
(log1p.f32 (expm1.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) v))))
(exp.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))))
Outputs
(/.f32 (*.f32 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_i (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(+.f32 #s(literal 6931/10000 binary32) (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))))
(+.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(+.f32 #s(literal 6931/10000 binary32) (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))))
(+.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(+.f32 #s(literal 6931/10000 binary32) (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))))
(+.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(*.f32 cosTheta_i (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_i)) (+.f32 (/.f32 cosTheta_O v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_i v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_i v)))))
(*.f32 cosTheta_i (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_i) (-.f32 (+.f32 (/.f32 cosTheta_O v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 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) (-.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i) (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 (/.f32 cosTheta_O v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_i v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_i v)))))
(*.f32 cosTheta_i (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_i) (-.f32 (+.f32 (/.f32 cosTheta_O v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 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) (-.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i) (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 (/.f32 cosTheta_O v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_i v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_i v)))))
(*.f32 cosTheta_i (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_i) (-.f32 (+.f32 (/.f32 cosTheta_O v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 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) (-.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i) (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_i (/.f32 cosTheta_O v))
(*.f32 #s(literal -1 binary32) (*.f32 cosTheta_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 cosTheta_O v)) (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(neg.f32 (*.f32 cosTheta_i (*.f32 #s(literal -1 binary32) (+.f32 (/.f32 cosTheta_O v) (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) cosTheta_i)))))
(*.f32 (-.f32 (/.f32 (neg.f32 cosTheta_O) v) (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))) cosTheta_i)) (neg.f32 cosTheta_i))
(*.f32 #s(literal -1 binary32) (*.f32 cosTheta_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 cosTheta_O v)) (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(neg.f32 (*.f32 cosTheta_i (*.f32 #s(literal -1 binary32) (+.f32 (/.f32 cosTheta_O v) (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) cosTheta_i)))))
(*.f32 (-.f32 (/.f32 (neg.f32 cosTheta_O) v) (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))) cosTheta_i)) (neg.f32 cosTheta_i))
(*.f32 #s(literal -1 binary32) (*.f32 cosTheta_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 cosTheta_O v)) (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(neg.f32 (*.f32 cosTheta_i (*.f32 #s(literal -1 binary32) (+.f32 (/.f32 cosTheta_O v) (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) cosTheta_i)))))
(*.f32 (-.f32 (/.f32 (neg.f32 cosTheta_O) v) (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))) cosTheta_i)) (neg.f32 cosTheta_i))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(+.f32 #s(literal 6931/10000 binary32) (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))))
(+.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(+.f32 #s(literal 6931/10000 binary32) (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))))
(+.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(+.f32 #s(literal 6931/10000 binary32) (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))))
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(+.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))) (*.f32 cosTheta_O (*.f32 cosTheta_i (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))) v))))
(fma.f32 cosTheta_O (*.f32 cosTheta_i (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))) v)) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))))
(+.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) (*.f32 cosTheta_i (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (pow.f32 cosTheta_O #s(literal 2 binary32)) (*.f32 cosTheta_i (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))) (pow.f32 v #s(literal 2 binary32)))) (/.f32 (*.f32 cosTheta_O (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) v))))
(+.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))) (*.f32 cosTheta_i (fma.f32 #s(literal 1/2 binary32) (*.f32 (pow.f32 cosTheta_O #s(literal 2 binary32)) (/.f32 (*.f32 cosTheta_i (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))))) (pow.f32 v #s(literal 2 binary32)))) (*.f32 cosTheta_O (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))) v)))))
(fma.f32 cosTheta_i (fma.f32 #s(literal 1/2 binary32) (*.f32 (pow.f32 cosTheta_O #s(literal 2 binary32)) (*.f32 cosTheta_i (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))) (pow.f32 v #s(literal 2 binary32))))) (*.f32 cosTheta_O (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))) v))) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))))
(+.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) (*.f32 cosTheta_i (+.f32 (*.f32 cosTheta_i (+.f32 (*.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 (pow.f32 cosTheta_O #s(literal 3 binary32)) (*.f32 cosTheta_i (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))) (pow.f32 v #s(literal 3 binary32)))) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (pow.f32 cosTheta_O #s(literal 2 binary32)) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) (pow.f32 v #s(literal 2 binary32)))))) (/.f32 (*.f32 cosTheta_O (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) v))))
(+.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))) (*.f32 cosTheta_i (fma.f32 cosTheta_i (fma.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 (*.f32 (pow.f32 cosTheta_O #s(literal 3 binary32)) cosTheta_i) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))))) (pow.f32 v #s(literal 3 binary32))) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (pow.f32 cosTheta_O #s(literal 2 binary32)) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))))) (pow.f32 v #s(literal 2 binary32))))) (*.f32 cosTheta_O (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))) v)))))
(fma.f32 cosTheta_i (fma.f32 cosTheta_i (fma.f32 #s(literal 1/6 binary32) (*.f32 (pow.f32 cosTheta_O #s(literal 3 binary32)) (/.f32 (*.f32 cosTheta_i (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))))) (pow.f32 v #s(literal 3 binary32)))) (*.f32 (*.f32 #s(literal 1/2 binary32) (pow.f32 cosTheta_O #s(literal 2 binary32))) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))) (pow.f32 v #s(literal 2 binary32))))) (*.f32 cosTheta_O (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))) v))) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))))
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))))
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))))
(+.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))) v))
(+.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))) (*.f32 cosTheta_O (*.f32 cosTheta_i (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))) v))))
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(+.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) (*.f32 cosTheta_O (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta_O (*.f32 (pow.f32 cosTheta_i #s(literal 2 binary32)) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))) (pow.f32 v #s(literal 2 binary32)))) (/.f32 (*.f32 cosTheta_i (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) v))))
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(fma.f32 cosTheta_O (fma.f32 cosTheta_i (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))) v) (*.f32 cosTheta_O (*.f32 (*.f32 #s(literal 1/2 binary32) (pow.f32 cosTheta_i #s(literal 2 binary32))) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))) (pow.f32 v #s(literal 2 binary32)))))) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))))
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(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))))
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(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))))
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(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))))
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(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))))
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(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (/.f32 #s(literal 1 binary32) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 #s(literal -1 binary32) v))))
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(-.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 #s(literal -1 binary32) v)))) (*.f32 sinTheta_O (*.f32 sinTheta_i (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 #s(literal -1 binary32) v)))) v))))
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(+.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)))))))))
(+.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (/.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 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (/.f32 #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 #s(literal 6931/10000 binary32) (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (/.f32 #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 #s(literal 6931/10000 binary32) (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (/.f32 #s(literal 1 binary32) v)))) (pow.f32 v #s(literal 2 binary32))))))))))
(fma.f32 sinTheta_O (fma.f32 sinTheta_O (fma.f32 #s(literal 1/2 binary32) (*.f32 (pow.f32 sinTheta_i #s(literal 2 binary32)) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 #s(literal -1 binary32) v)))) (pow.f32 v #s(literal 2 binary32)))) (*.f32 (*.f32 #s(literal -1/6 binary32) sinTheta_O) (/.f32 (*.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 #s(literal -1 binary32) v))))) (pow.f32 v #s(literal 3 binary32))))) (*.f32 sinTheta_i (neg.f32 (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 #s(literal -1 binary32) v)))) v)))) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 #s(literal -1 binary32) v)))))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
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(-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))
(-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
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(-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(+.f32 #s(literal 6931/10000 binary32) (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))))
(+.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 #s(literal 6931/10000 binary32) (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))))
(+.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_i (/.f32 cosTheta_O v))
(*.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))))))
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(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (*.f32 cosTheta_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 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))))
(pow.f32 (exp.f32 (sqrt.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))))) (sqrt.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (*.f32 cosTheta_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 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))))
(sqrt.f32 (pow.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) v)) #s(literal 2 binary32)))
(sqrt.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 (neg.f32 sinTheta_i) sinTheta_O)) v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))) #s(literal 2 binary32)))
(fabs.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))))))
(log.f32 (pow.f32 (exp.f32 (exp.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))) (/.f32 #s(literal 1/2 binary32) v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (*.f32 cosTheta_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 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) v)))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (*.f32 cosTheta_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 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))))
(cbrt.f32 (pow.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) v)) #s(literal 3 binary32)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (*.f32 cosTheta_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 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 #s(literal 1/2 binary32) v) #s(literal 3 binary32)) (pow.f32 (exp.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) #s(literal 3 binary32))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (*.f32 cosTheta_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 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))))
(cbrt.f32 (*.f32 (pow.f32 (exp.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1/2 binary32) v) #s(literal 3 binary32))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (*.f32 cosTheta_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 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))))
(expm1.f32 (log1p.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (*.f32 cosTheta_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 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))))
(log1p.f32 (expm1.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (*.f32 cosTheta_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 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))))
(exp.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (*.f32 cosTheta_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 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))))

eval389.0ms (2.7%)

Compiler

Compiled 22805 to 12782 computations (44% saved)

prune122.0ms (0.9%)

Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New58411595
Fresh000
Picked202
Done000
Total58611597
Accuracy
99.9%
Counts
597 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))) #s(literal 2 binary32))) (cbrt.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))))
99.7%
(pow.f32 (exp.f32 #s(literal 1 binary32)) (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))))
99.7%
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) #s(literal 2 binary32))) (cbrt.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))))
▶99.8%
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 #s(literal 1 binary32)) (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))))
99.7%
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))))
4.7%
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)))
▶4.7%
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v))
▶97.8%
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32))) v))
9.9%
(exp.f32 (/.f32 (*.f32 (neg.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)))
▶9.9%
(exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v))))
Compiler

Compiled 514 to 370 computations (28% saved)

localize588.0ms (4.1%)

Localize:

Found 15 expressions with local error:

NewAccuracyProgram
✓99.8%
(-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))
✓99.7%
(-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))
✓99.7%
(pow.f32 (exp.f32 #s(literal 1 binary32)) (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
✓89.3%
(/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)
✓100.0%
(*.f32 cosTheta_O cosTheta_i)
✓100.0%
(*.f32 sinTheta_O sinTheta_i)
✓100.0%
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32))) v)
✓99.7%
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32))) v))
✓99.8%
(exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v))))
✓99.3%
(*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)))
✓99.0%
(/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v)
✓99.9%
(log.f32 (/.f32 #s(literal 1/2 binary32) v))
✓99.8%
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 #s(literal 1 binary32) v)))
✓99.7%
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 #s(literal 1 binary32) v))
✓78.1%
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
Compiler

Compiled 269 to 120 computations (55.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 175.0ms
Operation ival-div, time spent: 48.0ms, 27.0% of total-time
Operation ival-exp, time spent: 27.0ms, 15.0% of total-time
Operation ival-pow, time spent: 24.0ms, 14.0% of total-time
Operation ival-log, time spent: 22.0ms, 13.0% of total-time
Operation ival-sub, time spent: 17.0ms, 10.0% of total-time
Operation ival-mult, time spent: 15.0ms, 9.0% of total-time
Operation ival-add, time spent: 14.0ms, 8.0% of total-time
Operation const, time spent: 7.0ms, 4.0% of total-time
Operation ival-neg, time spent: 1.0ms, 1.0% of total-time

series115.0ms (0.8%)

Counts
15 → 424
Calls
Call 1
Inputs
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 #s(literal 1 binary32) v))>
#<alt (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 (log.f32 (/.f32 #s(literal 1/2 binary32) v))>
#<alt (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v)>
#<alt (*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)))>
#<alt (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v))))>
#<alt (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32))) v))>
#<alt (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32))) v)>
#<alt (*.f32 sinTheta_O sinTheta_i)>
#<alt (*.f32 cosTheta_O cosTheta_i)>
#<alt (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)>
#<alt (pow.f32 (exp.f32 #s(literal 1 binary32)) (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))>
#<alt (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))>
#<alt (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))>
Outputs
#<alt (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)>
#<alt (/.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 v)))))) #s(literal 1 binary32)) v)>
#<alt (/.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 v)))))) #s(literal 1 binary32)) v)>
#<alt (/.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 v)))))) #s(literal 1 binary32)) v)>
#<alt (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) v))))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (+.f32 (log.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))) (/.f32 #s(literal 1 binary32) v))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (+.f32 (log.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))) (/.f32 #s(literal 1 binary32) v))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (+.f32 (log.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))) (/.f32 #s(literal 1 binary32) v))>
#<alt (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))))>
#<alt (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1/2 binary32)) (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (*.f32 cosTheta_O cosTheta_i))) v)))))>
#<alt (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1/2 binary32)) (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (*.f32 cosTheta_O cosTheta_i))) v)))))>
#<alt (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1/2 binary32)) (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (*.f32 cosTheta_O cosTheta_i))) v)))))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (*.f32 cosTheta_O (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_O)) (+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_O v))))>
#<alt (*.f32 cosTheta_O (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_O)) (+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_O v))))>
#<alt (*.f32 cosTheta_O (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_O)) (+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_O v))))>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 cosTheta_O (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 cosTheta_i v)) (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)) cosTheta_O)))))>
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#<alt (*.f32 #s(literal -1 binary32) (*.f32 cosTheta_O (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 cosTheta_i v)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_O v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_O v))))))>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (*.f32 cosTheta_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (*.f32 cosTheta_i v))) (/.f32 cosTheta_O v)))>
#<alt (*.f32 cosTheta_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (*.f32 cosTheta_i v))) (/.f32 cosTheta_O v)))>
#<alt (*.f32 cosTheta_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (*.f32 cosTheta_i v))) (/.f32 cosTheta_O v)))>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 cosTheta_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 cosTheta_O v)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_i v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_i v))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 cosTheta_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 cosTheta_O v)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_i v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_i v))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 cosTheta_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 cosTheta_O v)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_i v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_i v))))))>
#<alt (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)>
#<alt (-.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))>
#<alt (-.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))>
#<alt (-.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))>
#<alt (*.f32 sinTheta_O (-.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_i v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O v))) (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_O v))))>
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#<alt (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))>
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#<alt (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1 binary32) v)) sinTheta_O)) (/.f32 sinTheta_i v))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1 binary32) v)) sinTheta_O)) (/.f32 sinTheta_i v))))>
#<alt (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)>
#<alt (-.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))>
#<alt (-.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))>
#<alt (-.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))>
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#<alt (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1 binary32) v)) sinTheta_i)) (/.f32 sinTheta_O v))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1 binary32) v)) sinTheta_i)) (/.f32 sinTheta_O v))))>
#<alt (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v)>
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#<alt (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v)>
#<alt (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v)>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))>
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#<alt (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))>
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#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
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#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 cosTheta_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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#<alt (*.f32 #s(literal -1 binary32) (*.f32 cosTheta_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 cosTheta_O v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_i v)))))>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))>
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#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
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#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
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#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
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#<alt (*.f32 #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))))>
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#<alt (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)>
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#<alt (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))>
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#<alt (+.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) (*.f32 cosTheta_i (+.f32 (*.f32 cosTheta_i (+.f32 (*.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 (pow.f32 cosTheta_O #s(literal 3 binary32)) (*.f32 cosTheta_i (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))) (pow.f32 v #s(literal 3 binary32)))) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (pow.f32 cosTheta_O #s(literal 2 binary32)) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) (pow.f32 v #s(literal 2 binary32)))))) (/.f32 (*.f32 cosTheta_O (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) v))))>
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#<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))))>
#<alt (/.f32 #s(literal 1 binary32) v)>
#<alt (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -6931/10000 binary32) v)) v)>
#<alt (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -6931/10000 binary32) v)) v)>
#<alt (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -6931/10000 binary32) v)) v)>
#<alt #s(literal -6931/10000 binary32)>
#<alt #s(literal -6931/10000 binary32)>
Calls

138 calls:

TimeVariablePointExpression
28.0ms
v
@0
(log (/ 1/2 v))
11.0ms
v
@-inf
(log (/ 1/2 v))
8.0ms
sinTheta_i
@0
(exp (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v))
5.0ms
v
@inf
(log (/ 1/2 v))
2.0ms
sinTheta_O
@0
(pow (exp 1) (- (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v) (- (/ 1 v) 6931/10000)))

rewrite143.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
363×log1p-expm1-u
363×expm1-log1p-u
358×add-exp-log
356×add-log-exp
353×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
045500
1836492
Stop Event
1×node limit
Counts
15 → 325
Calls
Call 1
Inputs
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 #s(literal 1 binary32) v))
(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)))
(log.f32 (/.f32 #s(literal 1/2 binary32) v))
(/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)))
(exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v))))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32))) v))
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32))) v)
(*.f32 sinTheta_O sinTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)
(pow.f32 (exp.f32 #s(literal 1 binary32)) (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
(-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))
(-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))
Outputs
(-.f32 (exp.f32 (log1p.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)))) #s(literal 1 binary32))
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(*.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 #s(literal 1 binary32) v))
(*.f32 #s(literal 1 binary32) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(*.f32 (pow.f32 (cbrt.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v))))
(*.f32 (sqrt.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v))) (sqrt.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v))))
(pow.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v))) #s(literal 2 binary32))
(pow.f32 (/.f32 v (*.f32 cosTheta_O cosTheta_i)) #s(literal -1 binary32))
(log.f32 (pow.f32 (exp.f32 cosTheta_O) (/.f32 cosTheta_i v)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)))))
(cbrt.f32 (pow.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v))))
(log1p.f32 (expm1.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v))))
(exp.f32 (log.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v))))
(exp.f32 (*.f32 (log.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v))) #s(literal 1 binary32)))
(+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))
(+.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) (neg.f32 (/.f32 #s(literal 1 binary32) v)))
(+.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))) (fma.f32 (neg.f32 (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32)) (/.f32 #s(literal 1 binary32) v)))
(+.f32 #s(literal 0 binary32) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))
(+.f32 (fma.f32 #s(literal 1 binary32) (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) (neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 1 binary32)))) (fma.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 1 binary32))))
(+.f32 (fma.f32 #s(literal 1 binary32) (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) (neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 v)) (cbrt.f32 (pow.f32 v #s(literal -2 binary32)))))) (fma.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 v))) (cbrt.f32 (pow.f32 v #s(literal -2 binary32))) (*.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 v)) (cbrt.f32 (pow.f32 v #s(literal -2 binary32))))))
(+.f32 (fma.f32 (pow.f32 (cbrt.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))) #s(literal 2 binary32)) (cbrt.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))) (neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 1 binary32)))) (fma.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 1 binary32))))
(+.f32 (fma.f32 (pow.f32 (cbrt.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))) #s(literal 2 binary32)) (cbrt.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))) (neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 v)) (cbrt.f32 (pow.f32 v #s(literal -2 binary32)))))) (fma.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 v))) (cbrt.f32 (pow.f32 v #s(literal -2 binary32))) (*.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 v)) (cbrt.f32 (pow.f32 v #s(literal -2 binary32))))))
(+.f32 (fma.f32 (sqrt.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))) (sqrt.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))) (neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 1 binary32)))) (fma.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 1 binary32))))
(+.f32 (fma.f32 (sqrt.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))) (sqrt.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))) (neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 v)) (cbrt.f32 (pow.f32 v #s(literal -2 binary32)))))) (fma.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 v))) (cbrt.f32 (pow.f32 v #s(literal -2 binary32))) (*.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 v)) (cbrt.f32 (pow.f32 v #s(literal -2 binary32))))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))) #s(literal 2 binary32))) (log.f32 (cbrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))))) (log.f32 (sqrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))))))
(*.f32 #s(literal 1 binary32) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))
(*.f32 (pow.f32 (cbrt.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32)) (cbrt.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))))
(*.f32 (sqrt.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))) (sqrt.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (-.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) #s(literal 2 binary32)) (pow.f32 v #s(literal -2 binary32))) (+.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) (/.f32 #s(literal 1 binary32) v)))
(/.f32 (-.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) #s(literal 3 binary32)) (pow.f32 v #s(literal -3 binary32))) (+.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) #s(literal 2 binary32)) (+.f32 (pow.f32 v #s(literal -2 binary32)) (*.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) (/.f32 #s(literal 1 binary32) v)))))
(pow.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32))
(log.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))))
(cbrt.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))))
(log1p.f32 (expm1.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))))
(exp.f32 (log.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))))
(exp.f32 (*.f32 (log.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))) #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) (neg.f32 (/.f32 #s(literal 1 binary32) v)))
(fma.f32 (pow.f32 (cbrt.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))) #s(literal 2 binary32)) (cbrt.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))) (neg.f32 (/.f32 #s(literal 1 binary32) v)))
(fma.f32 (sqrt.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))) (sqrt.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))) (neg.f32 (/.f32 #s(literal 1 binary32) v)))
(-.f32 (exp.f32 (log1p.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))))
(*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))
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(*.f32 (sqrt.f32 (-.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 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 #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 (pow.f32 (cbrt.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 (pow.f32 (cbrt.f32 (*.f32 cosTheta_O cosTheta_i)) #s(literal 2 binary32)) (cbrt.f32 (*.f32 cosTheta_O cosTheta_i)) (neg.f32 (*.f32 sinTheta_O sinTheta_i)))
(fma.f32 (pow.f32 (cbrt.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))
(+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 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 (pow.f32 v #s(literal -3 binary32)) #s(literal 332956652491/1000000000000 binary32)) (+.f32 (pow.f32 v #s(literal -2 binary32)) (+.f32 #s(literal 48038761/100000000 binary32) (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))))
(/.f32 (-.f32 (pow.f32 v #s(literal -2 binary32)) #s(literal 48038761/100000000 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))
(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))
(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 (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))

simplify308.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
753×fma-define
735×associate-*r*
392×times-frac
336×distribute-lft-in
331×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0126338219
1329536343
Stop Event
1×node limit
Counts
749 → 683
Calls
Call 1
Inputs
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)
(/.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 v)))))) #s(literal 1 binary32)) v)
(/.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 v)))))) #s(literal 1 binary32)) v)
(/.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 v)))))) #s(literal 1 binary32)) v)
(+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) v))))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (+.f32 (log.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))) (/.f32 #s(literal 1 binary32) v))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (+.f32 (log.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))) (/.f32 #s(literal 1 binary32) v))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (+.f32 (log.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))) (/.f32 #s(literal 1 binary32) v))
(+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))))
(+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1/2 binary32)) (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (*.f32 cosTheta_O cosTheta_i))) v)))))
(+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1/2 binary32)) (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (*.f32 cosTheta_O cosTheta_i))) v)))))
(+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1/2 binary32)) (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (*.f32 cosTheta_O cosTheta_i))) v)))))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_O)) (+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_O v))))
(*.f32 cosTheta_O (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_O)) (+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_O v))))
(*.f32 cosTheta_O (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_O)) (+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_O v))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 #s(literal -1 binary32) (*.f32 cosTheta_O (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 cosTheta_i v)) (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)) cosTheta_O)))))
(*.f32 #s(literal -1 binary32) (*.f32 cosTheta_O (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 cosTheta_i v)) (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)) cosTheta_O)))))
(*.f32 #s(literal -1 binary32) (*.f32 cosTheta_O (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 cosTheta_i v)) (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)) cosTheta_O)))))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_i)) (+.f32 (/.f32 cosTheta_O v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_i v))))
(*.f32 cosTheta_i (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_i)) (+.f32 (/.f32 cosTheta_O v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_i v))))
(*.f32 cosTheta_i (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_i)) (+.f32 (/.f32 cosTheta_O v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_i v))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 #s(literal -1 binary32) (*.f32 cosTheta_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 cosTheta_O v)) (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)) cosTheta_i)))))
(*.f32 #s(literal -1 binary32) (*.f32 cosTheta_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 cosTheta_O v)) (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)) cosTheta_i)))))
(*.f32 #s(literal -1 binary32) (*.f32 cosTheta_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 cosTheta_O v)) (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)) cosTheta_i)))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) v)))))
(+.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) v))))) (/.f32 (*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) v))))) (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32))) v))
(+.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) v))))) (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) v))))) (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 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) v))))) (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32))) v)))
(+.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) v))))) (+.f32 (*.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) v))))) (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 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) v))))) (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 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) v))))) (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32))) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v)))))
(+.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (*.f32 cosTheta_O cosTheta_i)))) v)))
(+.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))))) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))))) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (*.f32 cosTheta_O cosTheta_i))) #s(literal 2 binary32))) v)) (*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (*.f32 cosTheta_O cosTheta_i))))) v)))
(+.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))))) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))))) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (*.f32 cosTheta_O cosTheta_i))) #s(literal 3 binary32))) v)) (*.f32 #s(literal 1/2 binary32) (*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))))) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (*.f32 cosTheta_O cosTheta_i))) #s(literal 2 binary32))))) v)) (*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (*.f32 cosTheta_O cosTheta_i))))) v)))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #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 #s(literal 1 binary32) 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 #s(literal 1 binary32) v))))) v))
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(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))
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(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v))
#s(literal 1 binary32)
(-.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
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(-.f32 (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 #s(literal 1/6 binary32) (/.f32 (pow.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) #s(literal 3 binary32)) (pow.f32 v #s(literal 3 binary32)))) (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) #s(literal 2 binary32)) (pow.f32 v #s(literal 2 binary32)))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
#s(literal 1 binary32)
(-.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1 binary32) (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))) (*.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) #s(literal 2 binary32)) v))) v)))
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(*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))
(+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (*.f32 cosTheta_O v))) (/.f32 cosTheta_i v)))
(*.f32 cosTheta_O (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (*.f32 cosTheta_O v))) (/.f32 cosTheta_i v)))
(*.f32 cosTheta_O (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (*.f32 cosTheta_O v))) (/.f32 cosTheta_i v)))
(/.f32 (*.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 #s(literal 1 binary32) (*.f32 cosTheta_O 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 #s(literal 1 binary32) (*.f32 cosTheta_O 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 #s(literal 1 binary32) (*.f32 cosTheta_O v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_O v))))))
(*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))
(+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (*.f32 cosTheta_i v))) (/.f32 cosTheta_O v)))
(*.f32 cosTheta_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (*.f32 cosTheta_i v))) (/.f32 cosTheta_O v)))
(*.f32 cosTheta_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (*.f32 cosTheta_i v))) (/.f32 cosTheta_O v)))
(/.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 #s(literal 1 binary32) (*.f32 cosTheta_i v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_i v))))))
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(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)
(-.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))
(-.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))
(-.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))
(*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(*.f32 sinTheta_O (-.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_i v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O v))) (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_O v))))
(*.f32 sinTheta_O (-.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_i v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O v))) (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_O v))))
(*.f32 sinTheta_O (-.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_i v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O v))) (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_O v))))
(*.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 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1 binary32) v)) sinTheta_O)) (/.f32 sinTheta_i v))))
(*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1 binary32) v)) sinTheta_O)) (/.f32 sinTheta_i v))))
(*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1 binary32) v)) sinTheta_O)) (/.f32 sinTheta_i v))))
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)
(-.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))
(-.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))
(-.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))
(*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(*.f32 sinTheta_i (-.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i v))) (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_i v))))
(*.f32 sinTheta_i (-.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i v))) (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_i v))))
(*.f32 sinTheta_i (-.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i v))) (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_i v))))
(*.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 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1 binary32) v)) sinTheta_i)) (/.f32 sinTheta_O v))))
(*.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))))
(*.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))))
(/.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) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v)
(/.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) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v)
(/.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) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v)
(/.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) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v)
(/.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) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v)
(/.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) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v)
(*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_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)
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(*.f32 (pow.f32 (E.f32) (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (/.f32 #s(literal 1 binary32) v))) (pow.f32 (E.f32) #s(literal 6931/10000 binary32)))
(*.f32 (pow.f32 #s(literal 1 binary32) (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))))
(*.f32 (pow.f32 (cbrt.f32 (exp.f32 #s(literal 2 binary32))) (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) (pow.f32 (cbrt.f32 (E.f32)) (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))))
(*.f32 (pow.f32 (sqrt.f32 (E.f32)) (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) (pow.f32 (sqrt.f32 (E.f32)) (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))))
(*.f32 (exp.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (/.f32 #s(literal 1 binary32) v))) (exp.f32 #s(literal 6931/10000 binary32)))
(/.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)) (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
(log.f32 (exp.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))))))
(cbrt.f32 (pow.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) 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_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))))
(log1p.f32 (expm1.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))))
(exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))
(+.f32 (*.f32 cosTheta_O cosTheta_i) (neg.f32 (*.f32 sinTheta_O sinTheta_i)))
(+.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (neg.f32 sinTheta_i) sinTheta_O))
(+.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)) (fma.f32 (neg.f32 (sqrt.f32 (*.f32 sinTheta_O sinTheta_i))) (sqrt.f32 (*.f32 sinTheta_O sinTheta_i)) (*.f32 sinTheta_O sinTheta_i)))
(+.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32)))) (fma.f32 (neg.f32 (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32))))
(+.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (*.f32 (cbrt.f32 (*.f32 sinTheta_O sinTheta_i)) (pow.f32 (cbrt.f32 (*.f32 sinTheta_O sinTheta_i)) #s(literal 2 binary32))))) (fma.f32 (neg.f32 (cbrt.f32 (*.f32 sinTheta_O sinTheta_i))) (pow.f32 (cbrt.f32 (*.f32 sinTheta_O sinTheta_i)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (*.f32 sinTheta_O sinTheta_i)) (pow.f32 (cbrt.f32 (*.f32 sinTheta_O sinTheta_i)) #s(literal 2 binary32)))))
(+.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32)))) (fma.f32 (neg.f32 (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32))))
(+.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (*.f32 (cbrt.f32 (*.f32 sinTheta_O sinTheta_i)) (pow.f32 (cbrt.f32 (*.f32 sinTheta_O sinTheta_i)) #s(literal 2 binary32))))) (fma.f32 (neg.f32 (cbrt.f32 (*.f32 sinTheta_O sinTheta_i))) (pow.f32 (cbrt.f32 (*.f32 sinTheta_O sinTheta_i)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (*.f32 sinTheta_O sinTheta_i)) (pow.f32 (cbrt.f32 (*.f32 sinTheta_O sinTheta_i)) #s(literal 2 binary32)))))
(+.f32 (fma.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i) (neg.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32)))) (fma.f32 (neg.f32 (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32))))
(+.f32 (fma.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i) (neg.f32 (*.f32 (cbrt.f32 (*.f32 sinTheta_O sinTheta_i)) (pow.f32 (cbrt.f32 (*.f32 sinTheta_O sinTheta_i)) #s(literal 2 binary32))))) (fma.f32 (neg.f32 (cbrt.f32 (*.f32 sinTheta_O sinTheta_i))) (pow.f32 (cbrt.f32 (*.f32 sinTheta_O sinTheta_i)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (*.f32 sinTheta_O sinTheta_i)) (pow.f32 (cbrt.f32 (*.f32 sinTheta_O sinTheta_i)) #s(literal 2 binary32)))))
(+.f32 (fma.f32 (pow.f32 (cbrt.f32 (*.f32 cosTheta_O cosTheta_i)) #s(literal 2 binary32)) (cbrt.f32 (*.f32 cosTheta_O cosTheta_i)) (neg.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32)))) (fma.f32 (neg.f32 (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32))))
(+.f32 (fma.f32 (pow.f32 (cbrt.f32 (*.f32 cosTheta_O cosTheta_i)) #s(literal 2 binary32)) (cbrt.f32 (*.f32 cosTheta_O cosTheta_i)) (neg.f32 (*.f32 (cbrt.f32 (*.f32 sinTheta_O sinTheta_i)) (pow.f32 (cbrt.f32 (*.f32 sinTheta_O sinTheta_i)) #s(literal 2 binary32))))) (fma.f32 (neg.f32 (cbrt.f32 (*.f32 sinTheta_O sinTheta_i))) (pow.f32 (cbrt.f32 (*.f32 sinTheta_O sinTheta_i)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (*.f32 sinTheta_O sinTheta_i)) (pow.f32 (cbrt.f32 (*.f32 sinTheta_O sinTheta_i)) #s(literal 2 binary32)))))
(+.f32 (fma.f32 (sqrt.f32 (*.f32 cosTheta_O cosTheta_i)) (sqrt.f32 (*.f32 cosTheta_O cosTheta_i)) (neg.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32)))) (fma.f32 (neg.f32 (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32))))
(+.f32 (fma.f32 (sqrt.f32 (*.f32 cosTheta_O cosTheta_i)) (sqrt.f32 (*.f32 cosTheta_O cosTheta_i)) (neg.f32 (*.f32 (cbrt.f32 (*.f32 sinTheta_O sinTheta_i)) (pow.f32 (cbrt.f32 (*.f32 sinTheta_O sinTheta_i)) #s(literal 2 binary32))))) (fma.f32 (neg.f32 (cbrt.f32 (*.f32 sinTheta_O sinTheta_i))) (pow.f32 (cbrt.f32 (*.f32 sinTheta_O sinTheta_i)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (*.f32 sinTheta_O sinTheta_i)) (pow.f32 (cbrt.f32 (*.f32 sinTheta_O sinTheta_i)) #s(literal 2 binary32)))))
(*.f32 #s(literal 1 binary32) (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)))
(*.f32 (pow.f32 (cbrt.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 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 #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 (pow.f32 (cbrt.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 (pow.f32 (cbrt.f32 (*.f32 cosTheta_O cosTheta_i)) #s(literal 2 binary32)) (cbrt.f32 (*.f32 cosTheta_O cosTheta_i)) (neg.f32 (*.f32 sinTheta_O sinTheta_i)))
(fma.f32 (pow.f32 (cbrt.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))
(+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 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 (pow.f32 v #s(literal -3 binary32)) #s(literal 332956652491/1000000000000 binary32)) (+.f32 (pow.f32 v #s(literal -2 binary32)) (+.f32 #s(literal 48038761/100000000 binary32) (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))))
(/.f32 (-.f32 (pow.f32 v #s(literal -2 binary32)) #s(literal 48038761/100000000 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))
(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))
(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 (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))
Outputs
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)
(/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)
(/.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 v)))))) #s(literal 1 binary32)) v)
(/.f32 (+.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v))))) #s(literal -1 binary32)) v)
(/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 v (+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v))) #s(literal -1 binary32))) v)
(/.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 v)))))) #s(literal 1 binary32)) v)
(/.f32 (+.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v))))) #s(literal -1 binary32)) v)
(/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 v (+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v))) #s(literal -1 binary32))) v)
(/.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 v)))))) #s(literal 1 binary32)) v)
(/.f32 (+.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v))))) #s(literal -1 binary32)) v)
(/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 v (+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v))) #s(literal -1 binary32))) v)
(+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) v))))
(+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v)))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (+.f32 (log.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))) (/.f32 #s(literal 1 binary32) v))
(+.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v)) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))) (/.f32 #s(literal -1 binary32) v))
(+.f32 #s(literal 6931/10000 binary32) (+.f32 (-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (+.f32 (log.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))) (/.f32 #s(literal 1 binary32) v))
(+.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v)) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))) (/.f32 #s(literal -1 binary32) v))
(+.f32 #s(literal 6931/10000 binary32) (+.f32 (-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (+.f32 (log.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))) (/.f32 #s(literal 1 binary32) v))
(+.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v)) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))) (/.f32 #s(literal -1 binary32) v))
(+.f32 #s(literal 6931/10000 binary32) (+.f32 (-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))))
(+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (neg.f32 v))))
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(+.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)) (*.f32 sinTheta_O (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_i (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))) v)) (*.f32 sinTheta_O (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 sinTheta_O (*.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)))) (pow.f32 v #s(literal 3 binary32)))) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (pow.f32 sinTheta_i #s(literal 2 binary32)) (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))) (pow.f32 v #s(literal 2 binary32)))))))))
(+.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 (*.f32 (*.f32 sinTheta_O (pow.f32 sinTheta_i #s(literal 3 binary32))) (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) (pow.f32 v #s(literal 3 binary32))) (*.f32 #s(literal 1/2 binary32) (*.f32 (pow.f32 sinTheta_i #s(literal 2 binary32)) (/.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (pow.f32 v #s(literal 2 binary32))))))))))
(fma.f32 sinTheta_O (fma.f32 sinTheta_O (fma.f32 #s(literal 1/2 binary32) (*.f32 (pow.f32 sinTheta_i #s(literal 2 binary32)) (/.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (pow.f32 v #s(literal 2 binary32)))) (/.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 sinTheta_O (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 (neg.f32 sinTheta_i) (/.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) v))) (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(+.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)))) v)))
(+.f32 (exp.f32 (/.f32 (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 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)) (*.f32 sinTheta_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))) v)) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 2 binary32)) (*.f32 sinTheta_i (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)))) (pow.f32 v #s(literal 2 binary32)))))))
(+.f32 (exp.f32 (/.f32 (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 (*.f32 (pow.f32 sinTheta_O #s(literal 2 binary32)) (*.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 (*.f32 (*.f32 sinTheta_i (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)))
(+.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)) (*.f32 sinTheta_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))) v)) (*.f32 sinTheta_i (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) (*.f32 sinTheta_i (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)))) (pow.f32 v #s(literal 3 binary32)))) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 2 binary32)) (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))) (pow.f32 v #s(literal 2 binary32)))))))))
(+.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 sinTheta_i (pow.f32 sinTheta_O #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 (*.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)))))))))
(fma.f32 sinTheta_i (fma.f32 sinTheta_i (fma.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (*.f32 sinTheta_i (pow.f32 sinTheta_O #s(literal 3 binary32))) (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) (pow.f32 v #s(literal 3 binary32))) (/.f32 (*.f32 #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 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))
#s(literal 1 binary32)
(-.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(+.f32 #s(literal 1 binary32) (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))))
(+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))
(-.f32 (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) #s(literal 2 binary32)) (pow.f32 v #s(literal 2 binary32)))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(-.f32 (+.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) #s(literal 2 binary32)) (pow.f32 v #s(literal 2 binary32))) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))) (+.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(+.f32 #s(literal 1 binary32) (+.f32 (*.f32 #s(literal 1/2 binary32) (pow.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) #s(literal 2 binary32))) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))
(-.f32 (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 #s(literal 1/6 binary32) (/.f32 (pow.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) #s(literal 3 binary32)) (pow.f32 v #s(literal 3 binary32)))) (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) #s(literal 2 binary32)) (pow.f32 v #s(literal 2 binary32)))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(+.f32 #s(literal 1 binary32) (-.f32 (fma.f32 #s(literal 1/6 binary32) (pow.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) #s(literal 3 binary32)) (fma.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) #s(literal 2 binary32)) (pow.f32 v #s(literal 2 binary32))) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))) (+.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))))
(+.f32 #s(literal 1 binary32) (+.f32 (fma.f32 #s(literal 1/6 binary32) (pow.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) #s(literal 3 binary32)) (*.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)
(-.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(+.f32 #s(literal 1 binary32) (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))))
(+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1 binary32) (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))) (*.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) #s(literal 2 binary32)) v))) v)))
(+.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (*.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) #s(literal 2 binary32)) v))) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) #s(literal 2 binary32)) v) (neg.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))))) v))
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1 binary32) (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal 1/6 binary32) (/.f32 (pow.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) #s(literal 3 binary32)) v)) (*.f32 #s(literal 1/2 binary32) (pow.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) #s(literal 2 binary32)))) v))) v)))
(+.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (neg.f32 (/.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 (pow.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) #s(literal 3 binary32)) v) (*.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)))) v))) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (neg.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (/.f32 (fma.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)) (*.f32 #s(literal 1/6 binary32) (/.f32 (pow.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) #s(literal 3 binary32)) v))) v)) v))
(*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))
(/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v))
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(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)
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(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)
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(expm1.f32 (log1p.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))
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(/.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)))
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)
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(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))
(+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))
(*.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))
(+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))
(*.f32 (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 (/.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 1 binary32) v) #s(literal -6931/10000 binary32))
(/.f32 (-.f32 (pow.f32 v #s(literal -3 binary32)) #s(literal 332956652491/1000000000000 binary32)) (+.f32 (pow.f32 v #s(literal -2 binary32)) (+.f32 #s(literal 48038761/100000000 binary32) (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))))
(/.f32 (+.f32 (pow.f32 v #s(literal -3 binary32)) #s(literal -332956652491/1000000000000 binary32)) (+.f32 (pow.f32 v #s(literal -2 binary32)) (+.f32 #s(literal 48038761/100000000 binary32) (/.f32 #s(literal 6931/10000 binary32) v))))
(/.f32 (-.f32 (pow.f32 v #s(literal -2 binary32)) #s(literal 48038761/100000000 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))
(/.f32 (+.f32 (pow.f32 v #s(literal -2 binary32)) #s(literal -48038761/100000000 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))
(+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))
(pow.f32 (cbrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))) #s(literal 3 binary32))
(+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 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))
(+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))
(pow.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))) #s(literal 2 binary32))
(+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))
(log.f32 (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
(+.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)))))
(+.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)))
(+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))
(expm1.f32 (log1p.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
(+.f32 (+.f32 #s(literal 3069/10000 binary32) (/.f32 #s(literal 1 binary32) v)) #s(literal -1 binary32))
(log1p.f32 (expm1.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
(+.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))))
(+.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)))
(+.f32 (/.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))
(+.f32 (/.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))
(+.f32 (/.f32 (cbrt.f32 (pow.f32 v #s(literal -2 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 (pow.f32 v #s(literal -1 binary32)) #s(literal -6931/10000 binary32))

eval318.0ms (2.2%)

Compiler

Compiled 18267 to 10907 computations (40.3% saved)

prune153.0ms (1.1%)

Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New6869695
Fresh336
Picked505
Done000
Total69412706
Accuracy
99.9%
Counts
706 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))) #s(literal 2 binary32))) (cbrt.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))))
6.3%
(+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v))))
▶6.3%
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
99.7%
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) #s(literal 2 binary32))) (cbrt.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))))
99.8%
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 #s(literal 1 binary32)) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))))
99.8%
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 (pow.f32 (E.f32) (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (/.f32 #s(literal 1 binary32) v))) (pow.f32 (E.f32) #s(literal 6931/10000 binary32))))
▶99.7%
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))))
97.8%
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))
▶9.9%
(exp.f32 (/.f32 (*.f32 (neg.f32 sinTheta_i) sinTheta_O) v))
12.4%
(exp.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
▶99.8%
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))
▶6.4%
#s(literal 1 binary32)
Compiler

Compiled 506 to 366 computations (27.7% saved)

localize410.0ms (2.9%)

Localize:

Found 14 expressions with local error:

NewAccuracyProgram
✓100.0%
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))))
✓99.8%
(-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))
✓99.7%
(exp.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
✓99.3%
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
✓100.0%
(*.f32 (neg.f32 sinTheta_i) sinTheta_O)
✓99.8%
(exp.f32 (/.f32 (*.f32 (neg.f32 sinTheta_i) sinTheta_O) v))
✓79.4%
(/.f32 (*.f32 (neg.f32 sinTheta_i) sinTheta_O) v)
100.0%
(*.f32 sinTheta_O sinTheta_i)
✓99.9%
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
✓79.4%
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
✓99.9%
(+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
99.9%
(log.f32 (/.f32 #s(literal 1/2 binary32) v))
✓99.8%
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))
✓99.7%
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))
Compiler

Compiled 163 to 86 computations (47.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 101.0ms
Operation ival-div, time spent: 36.0ms, 36.0% of total-time
Operation ival-log, time spent: 18.0ms, 18.0% of total-time
Operation ival-mult, time spent: 14.0ms, 14.0% of total-time
Operation ival-sub, time spent: 11.0ms, 11.0% of total-time
Operation ival-exp, time spent: 9.0ms, 9.0% of total-time
Operation ival-add, time spent: 6.0ms, 6.0% of total-time
Operation const, time spent: 5.0ms, 5.0% of total-time
Operation ival-neg, time spent: 1.0ms, 1.0% of total-time

series93.0ms (0.7%)

Counts
12 → 266
Calls
Call 1
Inputs
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))>
#<alt (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))>
#<alt (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))>
#<alt (/.f32 (*.f32 (neg.f32 sinTheta_i) sinTheta_O) v)>
#<alt (exp.f32 (/.f32 (*.f32 (neg.f32 sinTheta_i) sinTheta_O) v))>
#<alt (*.f32 (neg.f32 sinTheta_i) sinTheta_O)>
#<alt (*.f32 sinTheta_O (/.f32 sinTheta_i v))>
#<alt (exp.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (*.f32 sinTheta_O (/.f32 sinTheta_i 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 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))))>
Outputs
#<alt (/.f32 #s(literal -1 binary32) v)>
#<alt (/.f32 (-.f32 (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 v))))) #s(literal 1 binary32)) v)>
#<alt (/.f32 (-.f32 (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 v))))) #s(literal 1 binary32)) v)>
#<alt (/.f32 (-.f32 (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 v))))) #s(literal 1 binary32)) v)>
#<alt (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) v))))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(literal 1 binary32) v))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(literal 1 binary32) v))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(literal 1 binary32) v))>
#<alt (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 #s(literal 1 binary32) v))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 #s(literal 1 binary32) v))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 #s(literal 1 binary32) v))>
#<alt (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) v)))))>
#<alt (+.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) v))))) (*.f32 #s(literal -1 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) v))))) v)))>
#<alt (+.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) v))))) (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) v))))) v)) (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) v))))) (pow.f32 v #s(literal 2 binary32))))))>
#<alt (+.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) v))))) (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) v))))) v)) (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) v))))) (pow.f32 v #s(literal 3 binary32)))) (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) v))))) (pow.f32 v #s(literal 2 binary32)))))))>
#<alt (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v)))))>
#<alt (+.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))))) (*.f32 #s(literal -1 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))))) v)))>
#<alt (+.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))))) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))))) v))) v)))>
#<alt (+.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))))) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))))) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))))) v)) (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))))))) v))) v)))>
#<alt (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 v))))>
#<alt (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 v))))>
#<alt (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 v))))>
#<alt (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 v))))>
#<alt (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) v))))>
#<alt (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) v))))>
#<alt (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) v))))>
#<alt (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) v))))>
#<alt (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))))>
#<alt (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))))>
#<alt (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))))>
#<alt (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))))>
#<alt #s(literal 1 binary32)>
#<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 #s(literal 1 binary32) sinTheta_O)))>
#<alt (*.f32 sinTheta_O (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_i v)) (/.f32 #s(literal 1 binary32) sinTheta_O)))>
#<alt (*.f32 sinTheta_O (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_i v)) (/.f32 #s(literal 1 binary32) sinTheta_O)))>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O (-.f32 (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) sinTheta_O))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O (-.f32 (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) sinTheta_O))))>
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#<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))))>
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#<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)))>
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#<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 (/.f32 #s(literal -1 binary32) v)>
#<alt (/.f32 (-.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal 1 binary32)) v)>
#<alt (/.f32 (-.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal 1 binary32)) v)>
#<alt (/.f32 (-.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal 1 binary32)) v)>
#<alt #s(literal 6931/10000 binary32)>
#<alt #s(literal 6931/10000 binary32)>
#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))>
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#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))>
#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))>
#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v))>
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#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v))>
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#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))>
#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))>
#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))>
#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))>
#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))>
#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))>
#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))>
#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))>
#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v))>
#<alt (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) (pow.f32 v #s(literal 2 binary32)))) (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v)))>
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#<alt (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v)) (*.f32 sinTheta_i (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_O (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 (*.f32 #s(literal -1/12 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 4 binary32)))) (*.f32 #s(literal 1/4 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 3 binary32)))))))))>
#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))>
#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))>
#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))>
#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))>
#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))>
#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))>
#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))>
#<alt (*.f32 #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))>
Calls

81 calls:

TimeVariablePointExpression
57.0ms
sinTheta_i
@-inf
(* (/ 1/2 v) (exp (- (- 6931/10000 (/ 1 v)) (* sinTheta_O (/ sinTheta_i v)))))
5.0ms
v
@inf
(- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))
2.0ms
v
@inf
(exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)))
1.0ms
sinTheta_O
@0
(* (/ 1/2 v) (exp (- (- 6931/10000 (/ 1 v)) (* sinTheta_O (/ sinTheta_i v)))))
1.0ms
sinTheta_i
@0
(* (/ 1/2 v) (exp (- (- 6931/10000 (/ 1 v)) (* sinTheta_O (/ sinTheta_i v)))))

rewrite130.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
242×add-exp-log
242×log1p-expm1-u
242×expm1-log1p-u
241×add-log-exp
240×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
034364
1561346
Stop Event
1×node limit
Counts
12 → 473
Calls
Call 1
Inputs
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))
(+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(/.f32 (*.f32 (neg.f32 sinTheta_i) sinTheta_O) v)
(exp.f32 (/.f32 (*.f32 (neg.f32 sinTheta_i) sinTheta_O) v))
(*.f32 (neg.f32 sinTheta_i) sinTheta_O)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(exp.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))))
Outputs
(+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal -1 binary32) v)))
(+.f32 #s(literal 6931/10000 binary32) (*.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal -1 binary32) v)) #s(literal 1 binary32)))
(+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
(+.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal -1 binary32) v))
(+.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 1 binary32)))
(+.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal -1 binary32) v))) (fma.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v)))
(+.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal -1 binary32) v))) (fma.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 v))) (cbrt.f32 (pow.f32 v #s(literal -2 binary32))) (/.f32 #s(literal 1 binary32) v)))
(+.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal -1 binary32) v))) (fma.f32 (neg.f32 (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32)) (/.f32 #s(literal 1 binary32) v)))
(+.f32 #s(literal 0 binary32) (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal -1 binary32) v))))
(+.f32 (/.f32 #s(literal -1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))
(+.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal -1 binary32) v)) #s(literal 6931/10000 binary32))
(+.f32 (log.f32 (cbrt.f32 (pow.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)))) (log.f32 (cbrt.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 #s(literal 1 binary32) v))))))
(+.f32 (log.f32 (sqrt.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 #s(literal 1 binary32) v))))) (log.f32 (sqrt.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 #s(literal 1 binary32) v))))))
(*.f32 #s(literal 1 binary32) (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal -1 binary32) v))))
(*.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal -1 binary32) v))) #s(literal 1 binary32))
(*.f32 (cbrt.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal -1 binary32) v)))) (cbrt.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal -1 binary32) v))) #s(literal 2 binary32))))
(*.f32 (cbrt.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal -1 binary32) v))) #s(literal 2 binary32))) (cbrt.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal -1 binary32) v)))))
(*.f32 (sqrt.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal -1 binary32) v)))) (sqrt.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal -1 binary32) v)))))
(*.f32 (-.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 3 binary32)) (pow.f32 v #s(literal -3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 2 binary32)) (+.f32 (pow.f32 v #s(literal -2 binary32)) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) v)))))
(*.f32 (-.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 2 binary32)) (pow.f32 v #s(literal -2 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal 1 binary32) v)))))
(*.f32 (+.f32 (sqrt.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) (pow.f32 v #s(literal -1/2 binary32))) (-.f32 (sqrt.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) (pow.f32 v #s(literal -1/2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 2 binary32)) (+.f32 (pow.f32 v #s(literal -2 binary32)) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) v))) (-.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 3 binary32)) (pow.f32 v #s(literal -3 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal 1 binary32) v))) (-.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 2 binary32)) (pow.f32 v #s(literal -2 binary32)))))
(/.f32 (-.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 3 binary32)) (pow.f32 v #s(literal -3 binary32))) (+.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 2 binary32)) (+.f32 (pow.f32 v #s(literal -2 binary32)) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) v))))
(/.f32 (-.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 2 binary32)) (pow.f32 v #s(literal -2 binary32))) (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal 1 binary32) v))))
(/.f32 (-.f32 (*.f32 (+.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32)) #s(literal 332956652491/1000000000000 binary32)) v) (*.f32 (+.f32 #s(literal 48038761/100000000 binary32) (*.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)))) #s(literal 1 binary32))) (*.f32 (+.f32 #s(literal 48038761/100000000 binary32) (*.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)))) v))
(/.f32 (-.f32 (*.f32 (+.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32)) #s(literal 332956652491/1000000000000 binary32)) (neg.f32 v)) (*.f32 (+.f32 #s(literal 48038761/100000000 binary32) (*.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)))) #s(literal -1 binary32))) (*.f32 (+.f32 #s(literal 48038761/100000000 binary32) (*.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)))) (neg.f32 v)))
(/.f32 (-.f32 (*.f32 (-.f32 #s(literal 48038761/100000000 binary32) (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 2 binary32))) v) (*.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 1 binary32))) (*.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) v))
(/.f32 (-.f32 (*.f32 (-.f32 #s(literal 48038761/100000000 binary32) (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 2 binary32))) (neg.f32 v)) (*.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal -1 binary32))) (*.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (neg.f32 v)))
(/.f32 (neg.f32 (-.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 3 binary32)) (pow.f32 v #s(literal -3 binary32)))) (neg.f32 (+.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 2 binary32)) (+.f32 (pow.f32 v #s(literal -2 binary32)) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) v)))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 2 binary32)) (pow.f32 v #s(literal -2 binary32)))) (neg.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (+.f32 #s(literal 332956652491/1000000000000 binary32) (pow.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal -1 binary32) v)) #s(literal 3 binary32))) (+.f32 #s(literal 48038761/100000000 binary32) (-.f32 (*.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal -1 binary32) v)) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal -1 binary32) v))) (*.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal -1 binary32) v))))))
(/.f32 (+.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 3 binary32))) (+.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 2 binary32)) (-.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 #s(literal -1 binary32) v)) (*.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal -1 binary32) v)))))
(/.f32 (-.f32 #s(literal 48038761/100000000 binary32) (*.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal -1 binary32) v)) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal -1 binary32) v)))) (-.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal -1 binary32) v))))
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(pow.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal -1 binary32) v))) #s(literal 1 binary32))
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(log.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 #s(literal 1 binary32) v))))
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(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))))
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(expm1.f32 (log1p.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(log1p.f32 (expm1.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
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(exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 #s(literal 6931/10000 binary32) (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))))))
(exp.f32 (*.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 #s(literal 6931/10000 binary32) (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))))) #s(literal 1 binary32)))

simplify413.0ms (2.9%)

Algorithm
1×egg-herbie
Rules
784×fma-define
550×associate-*r*
503×times-frac
245×*-commutative
208×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0108530825
1269428413
Stop Event
1×node limit
Counts
739 → 663
Calls
Call 1
Inputs
(/.f32 #s(literal -1 binary32) v)
(/.f32 (-.f32 (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 v))))) #s(literal 1 binary32)) v)
(/.f32 (-.f32 (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 v))))) #s(literal 1 binary32)) v)
(/.f32 (-.f32 (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 v))))) #s(literal 1 binary32)) v)
(+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) v))))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(literal 1 binary32) v))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(literal 1 binary32) v))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(literal 1 binary32) v))
(+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 #s(literal 1 binary32) v))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 #s(literal 1 binary32) v))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 #s(literal 1 binary32) v))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) v)))))
(+.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) v))))) (*.f32 #s(literal -1 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) v))))) v)))
(+.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) v))))) (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) v))))) v)) (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) v))))) (pow.f32 v #s(literal 2 binary32))))))
(+.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) v))))) (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) v))))) v)) (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) v))))) (pow.f32 v #s(literal 3 binary32)))) (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) v))))) (pow.f32 v #s(literal 2 binary32)))))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v)))))
(+.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))))) (*.f32 #s(literal -1 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))))) v)))
(+.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))))) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))))) v))) v)))
(+.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))))) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))))) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))))) v)) (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))))))) v))) v)))
(+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 v))))
(+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 v))))
(+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 v))))
(+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 v))))
(+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) v))))
(+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) v))))
(+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) v))))
(+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) v))))
(+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))))
(+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))))
(+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))))
(+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))))
#s(literal 1 binary32)
(*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(*.f32 sinTheta_O (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_i v)) (/.f32 #s(literal 1 binary32) sinTheta_O)))
(*.f32 sinTheta_O (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_i v)) (/.f32 #s(literal 1 binary32) sinTheta_O)))
(*.f32 sinTheta_O (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_i v)) (/.f32 #s(literal 1 binary32) sinTheta_O)))
(*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O (-.f32 (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) sinTheta_O))))
(*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O (-.f32 (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) sinTheta_O))))
(*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O (-.f32 (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) sinTheta_O))))
#s(literal 1 binary32)
(*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(*.f32 sinTheta_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v)) (/.f32 #s(literal 1 binary32) sinTheta_i)))
(*.f32 sinTheta_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v)) (/.f32 #s(literal 1 binary32) sinTheta_i)))
(*.f32 sinTheta_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v)) (/.f32 #s(literal 1 binary32) sinTheta_i)))
(*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(*.f32 #s(literal -1 binary32) (*.f32 sinTheta_i (-.f32 (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) sinTheta_i))))
(*.f32 #s(literal -1 binary32) (*.f32 sinTheta_i (-.f32 (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) sinTheta_i))))
(*.f32 #s(literal -1 binary32) (*.f32 sinTheta_i (-.f32 (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) sinTheta_i))))
(*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(/.f32 (+.f32 v (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))) v)
(/.f32 (+.f32 v (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))) v)
(/.f32 (+.f32 v (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))) v)
#s(literal 1 binary32)
#s(literal 1 binary32)
(*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v)) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 2 binary32)) sinTheta_i) (pow.f32 v #s(literal 2 binary32)))))))
(+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v)) (*.f32 sinTheta_i (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) sinTheta_i) (pow.f32 v #s(literal 3 binary32)))) (*.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 sinTheta_O #s(literal 2 binary32)) (pow.f32 v #s(literal 2 binary32)))))))))
(exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_i v)) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 sinTheta_O (pow.f32 sinTheta_i #s(literal 2 binary32))) (pow.f32 v #s(literal 2 binary32)))))))
(+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_i v)) (*.f32 sinTheta_O (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 sinTheta_O (pow.f32 sinTheta_i #s(literal 3 binary32))) (pow.f32 v #s(literal 3 binary32)))) (*.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 sinTheta_i #s(literal 2 binary32)) (pow.f32 v #s(literal 2 binary32)))))))))
(exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(+.f32 #s(literal 1 binary32) (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 2 binary32)) (pow.f32 sinTheta_i #s(literal 2 binary32))) (pow.f32 v #s(literal 2 binary32))))))
(+.f32 #s(literal 1 binary32) (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) (pow.f32 sinTheta_i #s(literal 3 binary32))) (pow.f32 v #s(literal 3 binary32)))) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 2 binary32)) (pow.f32 sinTheta_i #s(literal 2 binary32))) (pow.f32 v #s(literal 2 binary32)))))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 2 binary32)) (pow.f32 sinTheta_i #s(literal 2 binary32))) v)) (*.f32 sinTheta_O sinTheta_i)) v)))
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) (pow.f32 sinTheta_i #s(literal 3 binary32))) v)) (*.f32 #s(literal 1/2 binary32) (*.f32 (pow.f32 sinTheta_O #s(literal 2 binary32)) (pow.f32 sinTheta_i #s(literal 2 binary32))))) v)) (*.f32 sinTheta_O sinTheta_i)) v)))
(*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))
(*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))
(*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))
(*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))
(*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))
(*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))
(*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))
(*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))
(*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))
(*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))
(*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))
(*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))
(*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))
(*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))
(*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))
(*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))
(*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))
(*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))
(*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))
(*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))
(*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))
(*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))
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(/.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))))) #s(literal 1 binary32)) v)
(/.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))))) (cbrt.f32 (pow.f32 v #s(literal 2 binary32)))) (cbrt.f32 v))
(/.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))))) (sqrt.f32 v)) (sqrt.f32 v))
(pow.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))))) v)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))))) v))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))))) v)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))))) v))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))))) v)) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))))) (/.f32 #s(literal 1/2 binary32) v)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))))) v)))))
(cbrt.f32 (pow.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))))) 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 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))))) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))))) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1/2 binary32) v) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))))) v))))
(log1p.f32 (expm1.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))))) v))))
(exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 #s(literal 6931/10000 binary32) (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))))))
(exp.f32 (*.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 #s(literal 6931/10000 binary32) (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))))) #s(literal 1 binary32)))
Outputs
(/.f32 #s(literal -1 binary32) v)
(/.f32 (-.f32 (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 v))))) #s(literal 1 binary32)) v)
(/.f32 (fma.f32 v (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal 1/2 binary32))) (log.f32 v)) #s(literal -1 binary32)) v)
(/.f32 (-.f32 (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 v))))) #s(literal 1 binary32)) v)
(/.f32 (fma.f32 v (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal 1/2 binary32))) (log.f32 v)) #s(literal -1 binary32)) v)
(/.f32 (-.f32 (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 v))))) #s(literal 1 binary32)) v)
(/.f32 (fma.f32 v (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal 1/2 binary32))) (log.f32 v)) #s(literal -1 binary32)) v)
(+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) v))))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal 1/2 binary32))) (log.f32 v))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(literal 1 binary32) v))
(-.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal 1/2 binary32))) (log.f32 v)) (/.f32 #s(literal 1 binary32) v))
(+.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal 1/2 binary32))) (log.f32 v)) (/.f32 #s(literal -1 binary32) v))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(literal 1 binary32) v))
(-.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal 1/2 binary32))) (log.f32 v)) (/.f32 #s(literal 1 binary32) v))
(+.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal 1/2 binary32))) (log.f32 v)) (/.f32 #s(literal -1 binary32) v))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(literal 1 binary32) v))
(-.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal 1/2 binary32))) (log.f32 v)) (/.f32 #s(literal 1 binary32) v))
(+.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal 1/2 binary32))) (log.f32 v)) (/.f32 #s(literal -1 binary32) v))
(+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))))
(+.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) (+.f32 (log.f32 #s(literal -1/2 binary32)) #s(literal 6931/10000 binary32)))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 #s(literal 1 binary32) v))
(+.f32 #s(literal 6931/10000 binary32) (-.f32 (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))) (/.f32 #s(literal 1 binary32) v)))
(+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) (-.f32 (log.f32 #s(literal -1/2 binary32)) (/.f32 #s(literal 1 binary32) v))))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 #s(literal 1 binary32) v))
(+.f32 #s(literal 6931/10000 binary32) (-.f32 (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))) (/.f32 #s(literal 1 binary32) v)))
(+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) (-.f32 (log.f32 #s(literal -1/2 binary32)) (/.f32 #s(literal 1 binary32) v))))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 #s(literal 1 binary32) v))
(+.f32 #s(literal 6931/10000 binary32) (-.f32 (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))) (/.f32 #s(literal 1 binary32) v)))
(+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) (-.f32 (log.f32 #s(literal -1/2 binary32)) (/.f32 #s(literal 1 binary32) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) v)))))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal 1/2 binary32))) (log.f32 v)))
(+.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) v))))) (*.f32 #s(literal -1 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) v))))) v)))
(+.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal 1/2 binary32))) (log.f32 v))) (neg.f32 (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal 1/2 binary32))) (log.f32 v))) v)))
(-.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal 1/2 binary32))) (log.f32 v))) (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal 1/2 binary32))) (log.f32 v))) v))
(+.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) v))))) (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) v))))) v)) (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) v))))) (pow.f32 v #s(literal 2 binary32))))))
(+.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal 1/2 binary32))) (log.f32 v))) (fma.f32 #s(literal -1 binary32) (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal 1/2 binary32))) (log.f32 v))) v) (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal 1/2 binary32))) (log.f32 v))) (pow.f32 v #s(literal 2 binary32))))))
(+.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal 1/2 binary32))) (log.f32 v))) (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal 1/2 binary32))) (log.f32 v)))) (pow.f32 v #s(literal 2 binary32))) (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal 1/2 binary32))) (log.f32 v))) v)))
(+.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) v))))) (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) v))))) v)) (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) v))))) (pow.f32 v #s(literal 3 binary32)))) (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) v))))) (pow.f32 v #s(literal 2 binary32)))))))
(+.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal 1/2 binary32))) (log.f32 v))) (fma.f32 #s(literal -1 binary32) (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal 1/2 binary32))) (log.f32 v))) v) (fma.f32 #s(literal -1/6 binary32) (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal 1/2 binary32))) (log.f32 v))) (pow.f32 v #s(literal 3 binary32))) (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal 1/2 binary32))) (log.f32 v))) (pow.f32 v #s(literal 2 binary32)))))))
(+.f32 (-.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal 1/2 binary32))) (log.f32 v))) (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal 1/2 binary32))) (log.f32 v))) v)) (fma.f32 #s(literal -1/6 binary32) (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal 1/2 binary32))) (log.f32 v))) (pow.f32 v #s(literal 3 binary32))) (/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal 1/2 binary32))) (log.f32 v)))) (pow.f32 v #s(literal 2 binary32)))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v)))))
(exp.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) (+.f32 (log.f32 #s(literal -1/2 binary32)) #s(literal 6931/10000 binary32))))
(+.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))))) (*.f32 #s(literal -1 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))))) v)))
(+.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))))) (neg.f32 (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))))) v)))
(-.f32 (exp.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) (+.f32 (log.f32 #s(literal -1/2 binary32)) #s(literal 6931/10000 binary32)))) (/.f32 (exp.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) (+.f32 (log.f32 #s(literal -1/2 binary32)) #s(literal 6931/10000 binary32)))) v))
(+.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))))) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))))) v))) v)))
(+.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))))) (neg.f32 (/.f32 (+.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))))) v))) v)))
(-.f32 (exp.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) (+.f32 (log.f32 #s(literal -1/2 binary32)) #s(literal 6931/10000 binary32)))) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (exp.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) (+.f32 (log.f32 #s(literal -1/2 binary32)) #s(literal 6931/10000 binary32)))) v) (exp.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) (+.f32 (log.f32 #s(literal -1/2 binary32)) #s(literal 6931/10000 binary32))))) v))
(+.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))))) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))))) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))))) v)) (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))))))) v))) v)))
(+.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))))) (neg.f32 (/.f32 (+.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))))) (neg.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))))) v) (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))))))) v))) v)))
(-.f32 (exp.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) (+.f32 (log.f32 #s(literal -1/2 binary32)) #s(literal 6931/10000 binary32)))) (/.f32 (-.f32 (exp.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) (+.f32 (log.f32 #s(literal -1/2 binary32)) #s(literal 6931/10000 binary32)))) (/.f32 (fma.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) (+.f32 (log.f32 #s(literal -1/2 binary32)) #s(literal 6931/10000 binary32)))) (*.f32 #s(literal -1/6 binary32) (/.f32 (exp.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) (+.f32 (log.f32 #s(literal -1/2 binary32)) #s(literal 6931/10000 binary32)))) v))) v)) v))
(+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 v))))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal 1/2 binary32))) (log.f32 v))
(+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 v))))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal 1/2 binary32))) (log.f32 v))
(+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 v))))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal 1/2 binary32))) (log.f32 v))
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(log1p.f32 (expm1.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))))) v))))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 sinTheta_i (/.f32 sinTheta_O v))))) v))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.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 1/2 binary32) v)) (-.f32 #s(literal 6931/10000 binary32) (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))))))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 sinTheta_i (/.f32 sinTheta_O v))))) v))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_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 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))))) #s(literal 1 binary32)))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 sinTheta_i (/.f32 sinTheta_O v))))) v))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))

eval720.0ms (5.1%)

Compiler

Compiled 14050 to 9754 computations (30.6% saved)

prune144.0ms (1%)

Pruning

14 alts after pruning (12 fresh and 2 done)

PrunedKeptTotal
New69411705
Fresh617
Picked325
Done000
Total70314717
Accuracy
99.9%
Counts
717 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(pow.f32 (exp.f32 (cbrt.f32 (pow.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) #s(literal 2 binary32)))) (cbrt.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))))
6.3%
(-.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (/.f32 sinTheta_O v)))
▶6.3%
(+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (/.f32 sinTheta_O v)))
99.7%
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (-.f32 #s(literal 6931/10000 binary32) (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))))) #s(literal 2 binary32))) (cbrt.f32 (-.f32 #s(literal 6931/10000 binary32) (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))))))
99.8%
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (E.f32) (-.f32 #s(literal 6931/10000 binary32) (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))))))
▶99.8%
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 (pow.f32 (E.f32) (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (/.f32 #s(literal 1 binary32) v))) (pow.f32 (E.f32) #s(literal 6931/10000 binary32))))
99.7%
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
6.3%
(*.f32 (+.f32 (/.f32 sinTheta_i v) (/.f32 #s(literal -1 binary32) sinTheta_O)) (neg.f32 sinTheta_O))
▶6.3%
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v))) #s(literal 1 binary32))
▶23.4%
(*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)))
39.7%
(*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
▶97.8%
(exp.f32 (/.f32 #s(literal -1 binary32) v))
✓99.8%
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))
✓6.4%
#s(literal 1 binary32)
Compiler

Compiled 458 to 364 computations (20.5% saved)

localize521.0ms (3.7%)

Localize:

Found 10 expressions with local error:

NewAccuracyProgram
✓99.7%
(exp.f32 (/.f32 #s(literal -1 binary32) v))
✓100.0%
(+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
99.3%
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
✓100.0%
(+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (/.f32 sinTheta_O v)))
99.3%
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
99.3%
(*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)))
100.0%
(*.f32 sinTheta_O sinTheta_i)
✓99.7%
(-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))
✓99.7%
(pow.f32 (E.f32) (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (/.f32 #s(literal 1 binary32) v)))
✓89.3%
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)
Compiler

Compiled 187 to 67 computations (64.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 132.0ms
Operation ival-pow, time spent: 65.0ms, 49.0% of total-time
Operation ival-div, time spent: 28.0ms, 21.0% of total-time
Operation ival-mult, time spent: 17.0ms, 13.0% of total-time
Operation ival-sub, time spent: 6.0ms, 5.0% of total-time
Operation ival-add, time spent: 4.0ms, 3.0% of total-time
Operation const, time spent: 4.0ms, 3.0% of total-time
Operation ival-e, time spent: 3.0ms, 2.0% of total-time
Operation ival-exp, time spent: 2.0ms, 2.0% of total-time
Operation ival-neg, time spent: 2.0ms, 2.0% of total-time

series53.0ms (0.4%)

Counts
6 → 230
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 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (/.f32 #s(literal 1 binary32) v)))>
#<alt (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (/.f32 sinTheta_O v)))>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))>
#<alt (exp.f32 (/.f32 #s(literal -1 binary32) v))>
Outputs
#<alt (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))>
#<alt (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (*.f32 cosTheta_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 #s(literal -1 binary32) (*.f32 (log.f32 (E.f32)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))>
#<alt (+.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (*.f32 (log.f32 (E.f32)) (+.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 #s(literal -1 binary32) (*.f32 (log.f32 (E.f32)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) (log.f32 (E.f32))))) v))>
#<alt (+.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (*.f32 (log.f32 (E.f32)) (+.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 #s(literal -1 binary32) (*.f32 (log.f32 (E.f32)) (+.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 #s(literal -1 binary32) (*.f32 (log.f32 (E.f32)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) (log.f32 (E.f32)))) v))))>
#<alt (+.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (*.f32 (log.f32 (E.f32)) (+.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 #s(literal -1 binary32) (*.f32 (log.f32 (E.f32)) (+.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 #s(literal -1 binary32) (*.f32 (log.f32 (E.f32)) (+.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 #s(literal -1 binary32) (*.f32 (log.f32 (E.f32)) (+.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 (*.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 (*.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 (*.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 (*.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 (*.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 (*.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 (*.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 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))>
#<alt (exp.f32 (*.f32 #s(literal -1 binary32) (*.f32 (log.f32 (E.f32)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))>
#<alt (+.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (*.f32 (log.f32 (E.f32)) (+.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 #s(literal -1 binary32) (*.f32 (log.f32 (E.f32)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) (log.f32 (E.f32))))) v))>
#<alt (+.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (*.f32 (log.f32 (E.f32)) (+.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 (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (*.f32 (log.f32 (E.f32)) (+.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_O (*.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (*.f32 (log.f32 (E.f32)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) (log.f32 (E.f32)))) v))))>
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#<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))))>
#<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 #s(literal 1 binary32)>
#<alt (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))>
#<alt (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))>
#<alt (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (*.f32 sinTheta_i (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_i) (/.f32 sinTheta_O v)))>
#<alt (*.f32 sinTheta_i (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_i) (/.f32 sinTheta_O v)))>
#<alt (*.f32 sinTheta_i (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_i) (/.f32 sinTheta_O v)))>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_i (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v)) (/.f32 #s(literal 1 binary32) sinTheta_i))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_i (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v)) (/.f32 #s(literal 1 binary32) sinTheta_i))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_i (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v)) (/.f32 #s(literal 1 binary32) sinTheta_i))))>
#<alt #s(literal 1 binary32)>
#<alt (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))>
#<alt (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))>
#<alt (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (*.f32 sinTheta_O (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) (/.f32 sinTheta_i v)))>
#<alt (*.f32 sinTheta_O (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) (/.f32 sinTheta_i v)))>
#<alt (*.f32 sinTheta_O (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) (/.f32 sinTheta_i v)))>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_i v)) (/.f32 #s(literal 1 binary32) sinTheta_O))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_i v)) (/.f32 #s(literal 1 binary32) sinTheta_O))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_i v)) (/.f32 #s(literal 1 binary32) sinTheta_O))))>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (+.f32 v (*.f32 sinTheta_O sinTheta_i)) v)>
#<alt (/.f32 (+.f32 v (*.f32 sinTheta_O sinTheta_i)) v)>
#<alt (/.f32 (+.f32 v (*.f32 sinTheta_O sinTheta_i)) v)>
#<alt #s(literal 1 binary32)>
#<alt (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))>
#<alt (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))>
#<alt (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))>
#<alt #s(literal 1 binary32)>
#<alt (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))>
#<alt (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))>
#<alt (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))>
#<alt #s(literal 1 binary32)>
#<alt (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))>
#<alt (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))>
#<alt (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (*.f32 sinTheta_O (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) (/.f32 sinTheta_i v)))>
#<alt (*.f32 sinTheta_O (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) (/.f32 sinTheta_i v)))>
#<alt (*.f32 sinTheta_O (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) (/.f32 sinTheta_i v)))>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_i v)) (/.f32 #s(literal 1 binary32) sinTheta_O))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_i v)) (/.f32 #s(literal 1 binary32) sinTheta_O))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_i v)) (/.f32 #s(literal 1 binary32) sinTheta_O))))>
#<alt #s(literal 1 binary32)>
#<alt (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))>
#<alt (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))>
#<alt (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (*.f32 sinTheta_i (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_i) (/.f32 sinTheta_O v)))>
#<alt (*.f32 sinTheta_i (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_i) (/.f32 sinTheta_O v)))>
#<alt (*.f32 sinTheta_i (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_i) (/.f32 sinTheta_O v)))>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_i (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v)) (/.f32 #s(literal 1 binary32) sinTheta_i))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_i (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v)) (/.f32 #s(literal 1 binary32) sinTheta_i))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_i (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v)) (/.f32 #s(literal 1 binary32) sinTheta_i))))>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (/.f32 (+.f32 v (*.f32 sinTheta_O sinTheta_i)) v)>
#<alt (/.f32 (+.f32 v (*.f32 sinTheta_O sinTheta_i)) v)>
#<alt (/.f32 (+.f32 v (*.f32 sinTheta_O sinTheta_i)) v)>
#<alt #s(literal 1 binary32)>
#<alt (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))>
#<alt (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))>
#<alt (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))>
#<alt #s(literal 1 binary32)>
#<alt (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))>
#<alt (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))>
#<alt (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))>
#<alt #s(literal 1 binary32)>
#<alt (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v))>
#<alt (-.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (pow.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))>
#<alt (-.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (pow.f32 v #s(literal 2 binary32)))) (+.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 v #s(literal 3 binary32))))))>
#<alt #s(literal 1 binary32)>
#<alt (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v))>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) v))) v)))>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1 binary32) v))) v))) v)))>
Calls

63 calls:

TimeVariablePointExpression
30.0ms
sinTheta_i
@inf
(pow (E) (- (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v) (/ 1 v)))
2.0ms
cosTheta_O
@0
(pow (E) (- (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v) (/ 1 v)))
1.0ms
cosTheta_i
@0
(pow (E) (- (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v) (/ 1 v)))
1.0ms
sinTheta_O
@0
(pow (E) (- (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v) (/ 1 v)))
1.0ms
sinTheta_i
@0
(pow (E) (- (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v) (/ 1 v)))

rewrite199.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
692×log1p-expm1-u
216×expm1-log1p-u
211×add-exp-log
210×add-log-exp
207×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
032195
1527183
27076183
Stop Event
1×node limit
Counts
6 → 215
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 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (/.f32 #s(literal 1 binary32) v)))
(-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))
(+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (/.f32 sinTheta_O v)))
(+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(exp.f32 (/.f32 #s(literal -1 binary32) v))
Outputs
(+.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (neg.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(+.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v)))
(+.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v)))
(+.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(+.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (*.f32 (neg.f32 (/.f32 sinTheta_O v)) sinTheta_i))
(+.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (*.f32 (neg.f32 (/.f32 sinTheta_i v)) sinTheta_O))
(+.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (*.f32 (neg.f32 (pow.f32 (cbrt.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))) #s(literal 2 binary32))) (cbrt.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))))
(+.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (*.f32 (neg.f32 (sqrt.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) (sqrt.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))))
(-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v))) #s(literal 1 binary32))
(*.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) (/.f32 #s(literal 1 binary32) v))
(*.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v))
(*.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))))
(*.f32 (cbrt.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v)) (pow.f32 (cbrt.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v)) #s(literal 2 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v)) #s(literal 2 binary32)) (cbrt.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v)))
(*.f32 (pow.f32 (cbrt.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i)))) #s(literal 2 binary32)) (/.f32 (cbrt.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i)))) v))
(*.f32 (pow.f32 (cbrt.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i)))) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i)))) (/.f32 #s(literal 1 binary32) v)))
(*.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v)) (sqrt.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v)))
(*.f32 (pow.f32 v #s(literal -1/2 binary32)) (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) (sqrt.f32 v)))
(*.f32 (sqrt.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i)))) (/.f32 (sqrt.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i)))) v))
(*.f32 (sqrt.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i)))) (*.f32 (sqrt.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i)))) (/.f32 #s(literal 1 binary32) v)))
(*.f32 (neg.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i)))) (/.f32 #s(literal 1 binary32) v))
(*.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (cbrt.f32 v) #s(literal 2 binary32))) (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) (cbrt.f32 v)))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i)))) #s(literal 2 binary32)) #s(literal 1 binary32)) (/.f32 (cbrt.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i)))) v))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i)))) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 v) #s(literal 2 binary32))) (cbrt.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v)))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i)))) #s(literal 2 binary32)) (sqrt.f32 v)) (/.f32 (cbrt.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i)))) (sqrt.f32 v)))
(*.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i)))) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i)))) v))
(*.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i)))) (pow.f32 (cbrt.f32 v) #s(literal 2 binary32))) (/.f32 (sqrt.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i)))) (cbrt.f32 v)))
(*.f32 (*.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) (cbrt.f32 (pow.f32 v #s(literal -2 binary32)))) (/.f32 #s(literal 1 binary32) (cbrt.f32 v)))
(*.f32 (*.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32)))
(pow.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v)) #s(literal 2 binary32))
(pow.f32 (/.f32 v (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i)))) #s(literal -1 binary32))
(neg.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) (neg.f32 v)))
(neg.f32 (/.f32 (neg.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i)))) v))
(sqrt.f32 (pow.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v) #s(literal 2 binary32)))
(log.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v))))
(cbrt.f32 (pow.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v)))
(log1p.f32 (expm1.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v)))
(exp.f32 (log.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v)))
(exp.f32 (*.f32 (log.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v)) #s(literal 1 binary32)))
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(sqrt.f32 (pow.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal 1 binary32)) #s(literal 2 binary32)))
(log.f32 (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal 1 binary32))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal 1 binary32)))))
(cbrt.f32 (pow.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal 1 binary32)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal 1 binary32))))
(log1p.f32 (expm1.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal 1 binary32))))
(exp.f32 (log1p.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(exp.f32 (*.f32 (log1p.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))) #s(literal 1 binary32)))
(fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal 1 binary32))
(fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 1 binary32))
(fma.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 1 binary32))
(fma.f32 (/.f32 sinTheta_O v) sinTheta_i #s(literal 1 binary32))
(fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 1 binary32))
(fma.f32 (pow.f32 (cbrt.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))) #s(literal 1 binary32))
(fma.f32 (sqrt.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))) (sqrt.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))) #s(literal 1 binary32))
(-.f32 (exp.f32 (log1p.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal 1 binary32)))) #s(literal 1 binary32))
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) (/.f32 (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))))
(*.f32 #s(literal 1 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal 1 binary32)))
(*.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal 1 binary32)) #s(literal 1 binary32))
(*.f32 (cbrt.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal 1 binary32))) (pow.f32 (cbrt.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal 1 binary32))) #s(literal 2 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal 1 binary32))) #s(literal 2 binary32)) (cbrt.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal 1 binary32))))
(*.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 2 binary32)) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))))
(*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 2 binary32)) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 3 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v))) (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 2 binary32)))))
(/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 2 binary32)) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))))
(/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 3 binary32)))) (neg.f32 (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 2 binary32)) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 2 binary32)))) (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))))
(/.f32 (-.f32 (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 2 binary32)) #s(literal 1 binary32)) (-.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 1 binary32)))
(pow.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal 1 binary32)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal 1 binary32))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal 1 binary32)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal 1 binary32))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal 1 binary32)) #s(literal 2 binary32)))
(log.f32 (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal 1 binary32))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal 1 binary32)))))
(cbrt.f32 (pow.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal 1 binary32)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal 1 binary32))))
(log1p.f32 (expm1.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal 1 binary32))))
(exp.f32 (log1p.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(exp.f32 (*.f32 (log1p.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))) #s(literal 1 binary32)))
(fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal 1 binary32))
(fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 1 binary32))
(fma.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 1 binary32))
(fma.f32 (/.f32 sinTheta_O v) sinTheta_i #s(literal 1 binary32))
(fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 1 binary32))
(fma.f32 (pow.f32 (cbrt.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))) #s(literal 1 binary32))
(fma.f32 (sqrt.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))) (sqrt.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))) #s(literal 1 binary32))
(-.f32 (exp.f32 (log1p.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v)))
(*.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1 binary32))
(*.f32 (cbrt.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v))) (pow.f32 (cbrt.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)) (cbrt.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 (sqrt.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v))) (sqrt.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 (pow.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v)))
(*.f32 (pow.f32 (cbrt.f32 (exp.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) v)) (pow.f32 (cbrt.f32 (E.f32)) (/.f32 #s(literal 1 binary32) v)))
(*.f32 (pow.f32 (sqrt.f32 (E.f32)) (/.f32 #s(literal 1 binary32) v)) (pow.f32 (sqrt.f32 (E.f32)) (/.f32 #s(literal 1 binary32) v)))
(*.f32 (pow.f32 (E.f32) (/.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))) (pow.f32 (E.f32) (/.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))))
(pow.f32 (E.f32) (/.f32 #s(literal 1 binary32) v))
(pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32))
(pow.f32 (pow.f32 (E.f32) (cbrt.f32 (pow.f32 v #s(literal -2 binary32)))) (/.f32 #s(literal 1 binary32) (cbrt.f32 v)))
(pow.f32 (pow.f32 (E.f32) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32)))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) v))
(pow.f32 (exp.f32 (cbrt.f32 (pow.f32 v #s(literal -2 binary32)))) (/.f32 #s(literal 1 binary32) (cbrt.f32 v)))
(pow.f32 (exp.f32 (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32)))
(sqrt.f32 (pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(log.f32 (exp.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v))))
(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))))

simplify253.0ms (1.8%)

Algorithm
1×egg-herbie
Rules
587×fma-neg
452×associate-*r*
357×associate-*l*
349×*-commutative
347×fma-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
068722882
1188720471
2665419630
Stop Event
1×node limit
Counts
445 → 386
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)))))
(*.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 (*.f32 cosTheta_O cosTheta_i) v)
(+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(*.f32 sinTheta_O (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_i v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O v))))
(*.f32 sinTheta_O (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_i v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O v))))
(*.f32 sinTheta_O (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_i v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O v))))
(*.f32 #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 cosTheta_O cosTheta_i) (*.f32 sinTheta_O v))) (/.f32 sinTheta_i v))))
(*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O v))) (/.f32 sinTheta_i v))))
(*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O v))) (/.f32 sinTheta_i v))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(*.f32 sinTheta_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i v))))
(*.f32 sinTheta_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i v))))
(*.f32 sinTheta_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i v))))
(*.f32 #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 cosTheta_O cosTheta_i) (*.f32 sinTheta_i v))) (/.f32 sinTheta_O v))))
(*.f32 #s(literal -1 binary32) (*.f32 sinTheta_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i v))) (/.f32 sinTheta_O v))))
(*.f32 #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))))
(exp.f32 (*.f32 #s(literal -1 binary32) (*.f32 (log.f32 (E.f32)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(+.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (*.f32 (log.f32 (E.f32)) (+.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 #s(literal -1 binary32) (*.f32 (log.f32 (E.f32)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) (log.f32 (E.f32))))) v))
(+.f32 (exp.f32 (*.f32 #s(literal -1 binary32) (*.f32 (log.f32 (E.f32)) (+.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 #s(literal -1 binary32) (*.f32 (log.f32 (E.f32)) (+.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 #s(literal -1 binary32) (*.f32 (log.f32 (E.f32)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) (log.f32 (E.f32)))) v))))
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#s(literal 1 binary32)
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#s(literal 1 binary32)
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(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v))) (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 2 binary32)))))
(/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 2 binary32)) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))))
(/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 3 binary32)))) (neg.f32 (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 2 binary32)) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 2 binary32)))) (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))))
(/.f32 (-.f32 (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 2 binary32)) #s(literal 1 binary32)) (-.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 1 binary32)))
(pow.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal 1 binary32)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal 1 binary32))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal 1 binary32)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal 1 binary32))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal 1 binary32)) #s(literal 2 binary32)))
(log.f32 (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal 1 binary32))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal 1 binary32)))))
(cbrt.f32 (pow.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal 1 binary32)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal 1 binary32))))
(log1p.f32 (expm1.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal 1 binary32))))
(exp.f32 (log1p.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(exp.f32 (*.f32 (log1p.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))) #s(literal 1 binary32)))
(fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal 1 binary32))
(fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 1 binary32))
(fma.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 1 binary32))
(fma.f32 (/.f32 sinTheta_O v) sinTheta_i #s(literal 1 binary32))
(fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 1 binary32))
(fma.f32 (pow.f32 (cbrt.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))) #s(literal 1 binary32))
(fma.f32 (sqrt.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))) (sqrt.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))) #s(literal 1 binary32))
(-.f32 (exp.f32 (log1p.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal 1 binary32)))) #s(literal 1 binary32))
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) (/.f32 (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))))
(*.f32 #s(literal 1 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal 1 binary32)))
(*.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal 1 binary32)) #s(literal 1 binary32))
(*.f32 (cbrt.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal 1 binary32))) (pow.f32 (cbrt.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal 1 binary32))) #s(literal 2 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal 1 binary32))) #s(literal 2 binary32)) (cbrt.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal 1 binary32))))
(*.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 2 binary32)) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))))
(*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 2 binary32)) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 3 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v))) (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 2 binary32)))))
(/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 2 binary32)) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))))
(/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 3 binary32)))) (neg.f32 (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 2 binary32)) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 2 binary32)))) (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))))
(/.f32 (-.f32 (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 2 binary32)) #s(literal 1 binary32)) (-.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 1 binary32)))
(pow.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal 1 binary32)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal 1 binary32))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal 1 binary32)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal 1 binary32))) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal 1 binary32)) #s(literal 2 binary32)))
(log.f32 (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal 1 binary32))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal 1 binary32)))))
(cbrt.f32 (pow.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal 1 binary32)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal 1 binary32))))
(log1p.f32 (expm1.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal 1 binary32))))
(exp.f32 (log1p.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(exp.f32 (*.f32 (log1p.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))) #s(literal 1 binary32)))
(fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal 1 binary32))
(fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 1 binary32))
(fma.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 1 binary32))
(fma.f32 (/.f32 sinTheta_O v) sinTheta_i #s(literal 1 binary32))
(fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 1 binary32))
(fma.f32 (pow.f32 (cbrt.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))) #s(literal 1 binary32))
(fma.f32 (sqrt.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))) (sqrt.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))) #s(literal 1 binary32))
(-.f32 (exp.f32 (log1p.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v)))
(*.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1 binary32))
(*.f32 (cbrt.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v))) (pow.f32 (cbrt.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)) (cbrt.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 (sqrt.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v))) (sqrt.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 (pow.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v)))
(*.f32 (pow.f32 (cbrt.f32 (exp.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) v)) (pow.f32 (cbrt.f32 (E.f32)) (/.f32 #s(literal 1 binary32) v)))
(*.f32 (pow.f32 (sqrt.f32 (E.f32)) (/.f32 #s(literal 1 binary32) v)) (pow.f32 (sqrt.f32 (E.f32)) (/.f32 #s(literal 1 binary32) v)))
(*.f32 (pow.f32 (E.f32) (/.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))) (pow.f32 (E.f32) (/.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))))
(pow.f32 (E.f32) (/.f32 #s(literal 1 binary32) v))
(pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32))
(pow.f32 (pow.f32 (E.f32) (cbrt.f32 (pow.f32 v #s(literal -2 binary32)))) (/.f32 #s(literal 1 binary32) (cbrt.f32 v)))
(pow.f32 (pow.f32 (E.f32) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32)))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) v))
(pow.f32 (exp.f32 (cbrt.f32 (pow.f32 v #s(literal -2 binary32)))) (/.f32 #s(literal 1 binary32) (cbrt.f32 v)))
(pow.f32 (exp.f32 (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32)))
(sqrt.f32 (pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(log.f32 (exp.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v))))
(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))))
Outputs
(*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)))
(+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(-.f32 (*.f32 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_i (/.f32 cosTheta_O v))
(*.f32 cosTheta_O (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_O v))) (/.f32 cosTheta_i v)))
(*.f32 cosTheta_O (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 sinTheta_O cosTheta_O) (/.f32 sinTheta_i v)) (/.f32 cosTheta_i v)))
(*.f32 cosTheta_O (-.f32 (/.f32 cosTheta_i v) (*.f32 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 (/.f32 sinTheta_O cosTheta_O) (/.f32 sinTheta_i v)) (/.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 (/.f32 sinTheta_O cosTheta_O) (/.f32 sinTheta_i v)) (/.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 cosTheta_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 (neg.f32 cosTheta_O) (fma.f32 #s(literal -1 binary32) (/.f32 cosTheta_i v) (*.f32 (/.f32 sinTheta_O cosTheta_O) (/.f32 sinTheta_i v))))
(*.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i (*.f32 v cosTheta_O)) (/.f32 cosTheta_i (neg.f32 v))) (neg.f32 cosTheta_O))
(*.f32 #s(literal -1 binary32) (*.f32 cosTheta_O (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 cosTheta_i v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_O v)))))
(*.f32 (neg.f32 cosTheta_O) (fma.f32 #s(literal -1 binary32) (/.f32 cosTheta_i v) (*.f32 (/.f32 sinTheta_O cosTheta_O) (/.f32 sinTheta_i v))))
(*.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i (*.f32 v cosTheta_O)) (/.f32 cosTheta_i (neg.f32 v))) (neg.f32 cosTheta_O))
(*.f32 #s(literal -1 binary32) (*.f32 cosTheta_O (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 cosTheta_i v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_O v)))))
(*.f32 (neg.f32 cosTheta_O) (fma.f32 #s(literal -1 binary32) (/.f32 cosTheta_i v) (*.f32 (/.f32 sinTheta_O cosTheta_O) (/.f32 sinTheta_i v))))
(*.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i (*.f32 v cosTheta_O)) (/.f32 cosTheta_i (neg.f32 v))) (neg.f32 cosTheta_O))
(*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)))
(+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(-.f32 (*.f32 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_i (/.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 (fma.f32 #s(literal -1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i (*.f32 v cosTheta_i))) (/.f32 cosTheta_O v)))
(*.f32 cosTheta_i (-.f32 (/.f32 cosTheta_O v) (*.f32 sinTheta_O (/.f32 sinTheta_i (*.f32 v cosTheta_i)))))
(*.f32 cosTheta_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_i v))) (/.f32 cosTheta_O v)))
(*.f32 cosTheta_i (fma.f32 #s(literal -1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i (*.f32 v cosTheta_i))) (/.f32 cosTheta_O v)))
(*.f32 cosTheta_i (-.f32 (/.f32 cosTheta_O v) (*.f32 sinTheta_O (/.f32 sinTheta_i (*.f32 v cosTheta_i)))))
(*.f32 cosTheta_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_i v))) (/.f32 cosTheta_O v)))
(*.f32 cosTheta_i (fma.f32 #s(literal -1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i (*.f32 v cosTheta_i))) (/.f32 cosTheta_O v)))
(*.f32 cosTheta_i (-.f32 (/.f32 cosTheta_O v) (*.f32 sinTheta_O (/.f32 sinTheta_i (*.f32 v cosTheta_i)))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(*.f32 cosTheta_i (/.f32 cosTheta_O 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 cosTheta_i (/.f32 cosTheta_O v))
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(exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(pow.f32 (E.f32) (-.f32 (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 #s(literal 1 binary32) v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (/.f32 #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))
(exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
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(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (/.f32 #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))
(exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(pow.f32 (E.f32) (-.f32 (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 #s(literal 1 binary32) v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (/.f32 #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))
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(exp.f32 (*.f32 #s(literal -1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))))
(exp.f32 (neg.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))))
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(pow.f32 (E.f32) (-.f32 (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 #s(literal 1 binary32) v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (/.f32 #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))
(exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
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(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (/.f32 #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))
(exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(pow.f32 (E.f32) (-.f32 (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 #s(literal 1 binary32) v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (/.f32 #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))
(exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
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(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (/.f32 #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))
(exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
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(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (/.f32 #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))
(exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
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(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (/.f32 #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))
(exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
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(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (/.f32 #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))
(exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
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(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))
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(fma.f32 sinTheta_O (fma.f32 sinTheta_O (fma.f32 #s(literal 1/2 binary32) (*.f32 (exp.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (/.f32 #s(literal -1 binary32) v))) (/.f32 (pow.f32 sinTheta_i #s(literal 2 binary32)) (pow.f32 v #s(literal 2 binary32)))) (*.f32 sinTheta_O (*.f32 (*.f32 (exp.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (/.f32 #s(literal -1 binary32) v))) (pow.f32 (/.f32 sinTheta_i v) #s(literal 3 binary32))) #s(literal -1/6 binary32)))) (/.f32 (*.f32 (neg.f32 sinTheta_i) (exp.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (/.f32 #s(literal -1 binary32) v)))) v)) (exp.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (/.f32 #s(literal -1 binary32) v))))
(fma.f32 sinTheta_O (fma.f32 sinTheta_O (fma.f32 #s(literal 1/2 binary32) (*.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (/.f32 (pow.f32 sinTheta_i #s(literal 2 binary32)) (pow.f32 v #s(literal 2 binary32)))) (*.f32 sinTheta_O (*.f32 (*.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (pow.f32 (/.f32 sinTheta_i v) #s(literal 3 binary32))) #s(literal -1/6 binary32)))) (/.f32 (*.f32 (neg.f32 sinTheta_i) (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 (log.f32 (E.f32)) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(pow.f32 (E.f32) (-.f32 (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 #s(literal 1 binary32) v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (/.f32 #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))
(exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(pow.f32 (E.f32) (-.f32 (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 #s(literal 1 binary32) v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (/.f32 #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))
(exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(pow.f32 (E.f32) (-.f32 (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 #s(literal 1 binary32) v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (/.f32 #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))
(exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(pow.f32 (E.f32) (-.f32 (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 #s(literal 1 binary32) v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (/.f32 #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))
(exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(pow.f32 (E.f32) (-.f32 (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 #s(literal 1 binary32) v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (/.f32 #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))
(exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(pow.f32 (E.f32) (-.f32 (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 #s(literal 1 binary32) v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (/.f32 #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))
(exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(pow.f32 (E.f32) (-.f32 (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 #s(literal 1 binary32) v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (/.f32 #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))
(exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(pow.f32 (E.f32) (-.f32 (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 #s(literal 1 binary32) v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (/.f32 #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))
(exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1 binary32) v))))
(pow.f32 (E.f32) (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 #s(literal 1 binary32) v)))
(exp.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (/.f32 #s(literal -1 binary32) v)))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(+.f32 (exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1 binary32) v)))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 (exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1 binary32) v)))) (log.f32 (E.f32))))) v)))
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(-.f32 (exp.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (/.f32 #s(literal -1 binary32) v))) (*.f32 sinTheta_O (*.f32 sinTheta_i (/.f32 (exp.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (/.f32 #s(literal -1 binary32) v))) v))))
(-.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (*.f32 sinTheta_O (*.f32 sinTheta_i (/.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) v))))
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(exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
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(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (/.f32 #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))
(exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(pow.f32 (E.f32) (-.f32 (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 #s(literal 1 binary32) v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (/.f32 #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))
(exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(pow.f32 (E.f32) (-.f32 (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 #s(literal 1 binary32) v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (/.f32 #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))
(exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(pow.f32 (E.f32) (-.f32 (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 #s(literal 1 binary32) v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (/.f32 #s(literal -1 binary32) v)))
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#s(literal 1 binary32)
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#s(literal 1 binary32)
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(*.f32 cosTheta_O cosTheta_i)
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(*.f32 cosTheta_O cosTheta_i)
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(*.f32 cosTheta_O cosTheta_i)
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#s(literal 1 binary32)
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(+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) v))
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) v))) v)))
(+.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) v)) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) v)) v))
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1 binary32) v))) v))) v)))
(+.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (+.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/6 binary32) v)) v))) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/6 binary32) v)) v)) v))
(+.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (neg.f32 (*.f32 sinTheta_O (/.f32 sinTheta_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 (/.f32 cosTheta_i v)) (*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_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 (/.f32 cosTheta_i v)) (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O 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 (/.f32 cosTheta_i v)) (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_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 (/.f32 cosTheta_i v)) (*.f32 (neg.f32 (/.f32 sinTheta_O v)) sinTheta_i))
(-.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 (/.f32 cosTheta_i v)) (*.f32 (neg.f32 (/.f32 sinTheta_i v)) sinTheta_O))
(-.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 (/.f32 cosTheta_i v)) (*.f32 (neg.f32 (pow.f32 (cbrt.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))) #s(literal 2 binary32))) (cbrt.f32 (*.f32 sinTheta_O (/.f32 sinTheta_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 (/.f32 cosTheta_i v)) (*.f32 (neg.f32 (sqrt.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) (sqrt.f32 (*.f32 sinTheta_O (/.f32 sinTheta_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 (/.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 (exp.f32 (log1p.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v))) #s(literal 1 binary32))
(expm1.f32 (log1p.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)))
(*.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) (/.f32 #s(literal 1 binary32) 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 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v) #s(literal 1 binary32))
(-.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 #s(literal 1 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_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) v) (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))))
(-.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 (cbrt.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v)) (pow.f32 (cbrt.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v)) #s(literal 2 binary32)))
(-.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 (pow.f32 (cbrt.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v)) #s(literal 2 binary32)) (cbrt.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_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 (pow.f32 (cbrt.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i)))) #s(literal 2 binary32)) (/.f32 (cbrt.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_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 (pow.f32 (cbrt.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i)))) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i)))) (/.f32 #s(literal 1 binary32) 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 (sqrt.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v)) (sqrt.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_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 (pow.f32 v #s(literal -1/2 binary32)) (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) (sqrt.f32 v)))
(*.f32 (pow.f32 v #s(literal -1/2 binary32)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) (sqrt.f32 v)))
(*.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) (/.f32 (pow.f32 v #s(literal -1/2 binary32)) (sqrt.f32 v)))
(*.f32 (sqrt.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i)))) (/.f32 (sqrt.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_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 (sqrt.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i)))) (*.f32 (sqrt.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i)))) (/.f32 #s(literal 1 binary32) 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 (neg.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i)))) (/.f32 #s(literal 1 binary32) v))
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) (neg.f32 v))
(/.f32 (-.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v)
(*.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (cbrt.f32 v) #s(literal 2 binary32))) (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) (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) (*.f32 sinTheta_O sinTheta_i)) (cbrt.f32 v)))
(/.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) (cbrt.f32 v)) (pow.f32 (cbrt.f32 v) #s(literal 2 binary32)))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i)))) #s(literal 2 binary32)) #s(literal 1 binary32)) (/.f32 (cbrt.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_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 (pow.f32 (cbrt.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i)))) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 v) #s(literal 2 binary32))) (cbrt.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v)))
(*.f32 (cbrt.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)) (/.f32 (pow.f32 (cbrt.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 v) #s(literal 2 binary32))))
(*.f32 (pow.f32 (cbrt.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))) #s(literal 2 binary32)) (/.f32 (cbrt.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)) (pow.f32 (cbrt.f32 v) #s(literal 2 binary32))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i)))) #s(literal 2 binary32)) (sqrt.f32 v)) (/.f32 (cbrt.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i)))) (sqrt.f32 v)))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))) #s(literal 2 binary32)) (sqrt.f32 v)) (/.f32 (cbrt.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))) (sqrt.f32 v)))
(/.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) (sqrt.f32 v)) (sqrt.f32 v))
(*.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i)))) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_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 (sqrt.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i)))) (pow.f32 (cbrt.f32 v) #s(literal 2 binary32))) (/.f32 (sqrt.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i)))) (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) (*.f32 sinTheta_O sinTheta_i)) (cbrt.f32 v)))
(/.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) (cbrt.f32 v)) (pow.f32 (cbrt.f32 v) #s(literal 2 binary32)))
(*.f32 (*.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) (cbrt.f32 (pow.f32 v #s(literal -2 binary32)))) (/.f32 #s(literal 1 binary32) (cbrt.f32 v)))
(*.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) (*.f32 (cbrt.f32 (pow.f32 v #s(literal -2 binary32))) (/.f32 #s(literal 1 binary32) (cbrt.f32 v))))
(*.f32 (cbrt.f32 (pow.f32 v #s(literal -2 binary32))) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) (cbrt.f32 v)))
(*.f32 (*.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32)))
(-.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)
(pow.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v) #s(literal 1 binary32))
(-.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)
(pow.f32 (cbrt.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v)) #s(literal 3 binary32))
(-.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)
(pow.f32 (pow.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v) #s(literal 3 binary32)) #s(literal 1/3 binary32))
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(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)
(pow.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v)) #s(literal 2 binary32))
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(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)
(pow.f32 (/.f32 v (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i)))) #s(literal -1 binary32))
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(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)
(neg.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) (neg.f32 v)))
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(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)
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(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)
(sqrt.f32 (pow.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v) #s(literal 2 binary32)))
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(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)
(log.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v)))
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(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v))))
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(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)
(cbrt.f32 (pow.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v) #s(literal 3 binary32)))
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(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)
(expm1.f32 (log1p.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v)))
(expm1.f32 (log1p.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)))
(log1p.f32 (expm1.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v)))
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(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)
(exp.f32 (log.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v)))
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(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)
(exp.f32 (*.f32 (log.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v)) #s(literal 1 binary32)))
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(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)
(-.f32 (exp.f32 (log1p.f32 (exp.f32 (/.f32 (+.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v)))) #s(literal 1 binary32))
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(fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 (neg.f32 sinTheta_O) sinTheta_i (*.f32 sinTheta_O sinTheta_i))))
(fma.f32 cosTheta_O cosTheta_i (-.f32 (*.f32 #s(literal 0 binary32) (*.f32 sinTheta_O sinTheta_i)) (*.f32 sinTheta_O sinTheta_i)))
(fma.f32 cosTheta_O cosTheta_i (fma.f32 #s(literal 0 binary32) (*.f32 sinTheta_O sinTheta_i) (*.f32 sinTheta_O (neg.f32 sinTheta_i))))
(+.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) (*.f32 cosTheta_O cosTheta_i))
(-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))
(*.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal 1 binary32))
(-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))
(*.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))))
(-.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))
(*.f32 (pow.f32 (cbrt.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i)))) #s(literal 2 binary32)) (cbrt.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i)))))
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(/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 2 binary32)) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))))
(*.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 2 binary32)) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))))
(/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal -1 binary32)))))
(/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 3 binary32))) (-.f32 (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 2 binary32)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal -1 binary32))))
(/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))))
(*.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 2 binary32)) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))))
(/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal -1 binary32)))))
(/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 3 binary32))) (-.f32 (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 2 binary32)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal -1 binary32))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 3 binary32)))) (neg.f32 (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 2 binary32)) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))))
(/.f32 (+.f32 #s(literal -1 binary32) (neg.f32 (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 3 binary32)))) (+.f32 #s(literal -1 binary32) (neg.f32 (-.f32 (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 2 binary32)) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))))
(/.f32 (-.f32 #s(literal -1 binary32) (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 3 binary32))) (-.f32 #s(literal -1 binary32) (*.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal -1 binary32)))))
(/.f32 (-.f32 #s(literal -1 binary32) (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 3 binary32))) (-.f32 #s(literal -1 binary32) (*.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal -1 binary32)))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 2 binary32)))) (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))))
(/.f32 (+.f32 #s(literal -1 binary32) (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 2 binary32))) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal -1 binary32)))
(/.f32 (+.f32 #s(literal -1 binary32) (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 2 binary32))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal -1 binary32)))
(/.f32 (-.f32 (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 2 binary32)) #s(literal 1 binary32)) (-.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 1 binary32)))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 2 binary32)))) (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))))
(/.f32 (+.f32 #s(literal -1 binary32) (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 2 binary32))) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal -1 binary32)))
(/.f32 (+.f32 #s(literal -1 binary32) (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 2 binary32))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal -1 binary32)))
(pow.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal 1 binary32))) #s(literal 3 binary32))
(fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal 1 binary32))
(pow.f32 (pow.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal 1 binary32)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal 1 binary32))
(pow.f32 (sqrt.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal 1 binary32))) #s(literal 2 binary32))
(fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal 1 binary32))
(sqrt.f32 (pow.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal 1 binary32)) #s(literal 2 binary32)))
(fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal 1 binary32))
(log.f32 (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal 1 binary32))))
(fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal 1 binary32))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal 1 binary32)))))
(fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal 1 binary32))
(cbrt.f32 (pow.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal 1 binary32)) #s(literal 3 binary32)))
(fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal 1 binary32))
(expm1.f32 (log1p.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal 1 binary32))))
(log1p.f32 (expm1.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal 1 binary32))))
(fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal 1 binary32))
(exp.f32 (log1p.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal 1 binary32))
(exp.f32 (*.f32 (log1p.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))) #s(literal 1 binary32)))
(fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal 1 binary32))
(fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal 1 binary32))
(fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 1 binary32))
(fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal 1 binary32))
(fma.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 1 binary32))
(fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal 1 binary32))
(fma.f32 (/.f32 sinTheta_O v) sinTheta_i #s(literal 1 binary32))
(fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal 1 binary32))
(fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 1 binary32))
(fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal 1 binary32))
(fma.f32 (pow.f32 (cbrt.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))) #s(literal 1 binary32))
(fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal 1 binary32))
(fma.f32 (sqrt.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))) (sqrt.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))) #s(literal 1 binary32))
(fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal 1 binary32))
(-.f32 (exp.f32 (log1p.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal 1 binary32))
(expm1.f32 (log1p.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v)))
(exp.f32 (/.f32 #s(literal 1 binary32) v))
(*.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1 binary32))
(exp.f32 (/.f32 #s(literal 1 binary32) v))
(*.f32 (cbrt.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v))) (pow.f32 (cbrt.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)))
(exp.f32 (/.f32 #s(literal 1 binary32) v))
(*.f32 (pow.f32 (cbrt.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)) (cbrt.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v))))
(exp.f32 (/.f32 #s(literal 1 binary32) v))
(*.f32 (sqrt.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v))) (sqrt.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v))))
(exp.f32 (/.f32 #s(literal 1 binary32) v))
(*.f32 (pow.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v)))
(exp.f32 (/.f32 #s(literal 1 binary32) v))
(*.f32 (pow.f32 (cbrt.f32 (exp.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) v)) (pow.f32 (cbrt.f32 (E.f32)) (/.f32 #s(literal 1 binary32) v)))
(*.f32 (pow.f32 (sqrt.f32 (E.f32)) (/.f32 #s(literal 1 binary32) v)) (pow.f32 (sqrt.f32 (E.f32)) (/.f32 #s(literal 1 binary32) v)))
(pow.f32 (sqrt.f32 (E.f32)) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) v)))
(pow.f32 (sqrt.f32 (E.f32)) (/.f32 #s(literal 2 binary32) v))
(*.f32 (pow.f32 (E.f32) (/.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))) (pow.f32 (E.f32) (/.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))))
(pow.f32 (E.f32) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))
(pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) (*.f32 v #s(literal 2 binary32))))
(pow.f32 (E.f32) (/.f32 #s(literal 1 binary32) v))
(exp.f32 (/.f32 #s(literal 1 binary32) v))
(pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1 binary32))
(exp.f32 (/.f32 #s(literal 1 binary32) v))
(pow.f32 (cbrt.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal 3 binary32))
(exp.f32 (/.f32 #s(literal 1 binary32) v))
(pow.f32 (pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(exp.f32 (/.f32 #s(literal 1 binary32) v))
(pow.f32 (sqrt.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32))
(exp.f32 (/.f32 #s(literal 1 binary32) v))
(pow.f32 (pow.f32 (E.f32) (cbrt.f32 (pow.f32 v #s(literal -2 binary32)))) (/.f32 #s(literal 1 binary32) (cbrt.f32 v)))
(pow.f32 (pow.f32 (E.f32) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32)))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) v))
(exp.f32 (/.f32 #s(literal -1 binary32) v))
(pow.f32 (exp.f32 (cbrt.f32 (pow.f32 v #s(literal -2 binary32)))) (/.f32 #s(literal 1 binary32) (cbrt.f32 v)))
(pow.f32 (exp.f32 (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32)))
(sqrt.f32 (pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(exp.f32 (/.f32 #s(literal 1 binary32) v))
(log.f32 (exp.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v))))
(exp.f32 (/.f32 #s(literal 1 binary32) v))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)))))
(exp.f32 (/.f32 #s(literal 1 binary32) v))
(cbrt.f32 (pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 3 binary32)))
(exp.f32 (/.f32 #s(literal 1 binary32) v))
(expm1.f32 (log1p.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v))))
(log1p.f32 (expm1.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v))))
(exp.f32 (/.f32 #s(literal 1 binary32) v))

eval186.0ms (1.3%)

Compiler

Compiled 12354 to 6372 computations (48.4% saved)

prune115.0ms (0.8%)

Pruning

15 alts after pruning (10 fresh and 5 done)

PrunedKeptTotal
New4625467
Fresh257
Picked235
Done022
Total46615481
Accuracy
99.9%
Counts
481 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(pow.f32 (exp.f32 (cbrt.f32 (pow.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) #s(literal 2 binary32)))) (cbrt.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))))
39.6%
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
6.3%
(-.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (/.f32 sinTheta_O v)))
6.3%
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
✓6.3%
(+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (/.f32 sinTheta_O v)))
99.7%
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (-.f32 #s(literal 6931/10000 binary32) (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))))) #s(literal 2 binary32))) (cbrt.f32 (-.f32 #s(literal 6931/10000 binary32) (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))))))
99.8%
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (E.f32) (-.f32 #s(literal 6931/10000 binary32) (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))))))
99.8%
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 (pow.f32 (E.f32) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1 binary32) v))) (pow.f32 (E.f32) #s(literal 6931/10000 binary32))))
99.7%
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
✓23.4%
(*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)))
23.3%
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
6.3%
(*.f32 sinTheta_O (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) (/.f32 sinTheta_i v)))
✓97.8%
(exp.f32 (/.f32 #s(literal -1 binary32) v))
✓99.8%
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))
✓6.4%
#s(literal 1 binary32)
Compiler

Compiled 797 to 507 computations (36.4% saved)

regimes140.0ms (1%)

Counts
39 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)))
(*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (/.f32 sinTheta_O v)))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
(-.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (/.f32 sinTheta_O v)))
(+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v))))
(*.f32 sinTheta_O (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) (/.f32 sinTheta_i v)))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v))) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(*.f32 (+.f32 (/.f32 sinTheta_i v) (/.f32 #s(literal -1 binary32) sinTheta_O)) (neg.f32 sinTheta_O))
(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 sinTheta_O (/.f32 sinTheta_i (neg.f32 v))))
(exp.f32 (/.f32 (*.f32 (neg.f32 sinTheta_i) sinTheta_O) v))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32))) v))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (E.f32) (-.f32 #s(literal 6931/10000 binary32) (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))))))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))
(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) (pow.f32 (exp.f32 #s(literal 1 binary32)) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 (pow.f32 (E.f32) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1 binary32) v))) (pow.f32 (E.f32) #s(literal 6931/10000 binary32))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 #s(literal 1 binary32)) (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))))
(exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 (pow.f32 (E.f32) (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (/.f32 #s(literal 1 binary32) v))) (pow.f32 (E.f32) #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)))))
(pow.f32 (exp.f32 #s(literal 1 binary32)) (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (-.f32 #s(literal 6931/10000 binary32) (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))))) #s(literal 2 binary32))) (cbrt.f32 (-.f32 #s(literal 6931/10000 binary32) (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) #s(literal 2 binary32))) (cbrt.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))))
(pow.f32 (exp.f32 (cbrt.f32 (pow.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) #s(literal 2 binary32)))) (cbrt.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))) #s(literal 2 binary32))) (cbrt.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))))
Outputs
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))
Calls

9 calls:

20.0ms
cosTheta_i
19.0ms
sinTheta_i
19.0ms
cosTheta_O
19.0ms
sinTheta_O
15.0ms
(+.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))))
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)

regimes76.0ms (0.5%)

Counts
25 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)))
(*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (/.f32 sinTheta_O v)))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
(-.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (/.f32 sinTheta_O v)))
(+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v))))
(*.f32 sinTheta_O (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) (/.f32 sinTheta_i v)))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v))) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(*.f32 (+.f32 (/.f32 sinTheta_i v) (/.f32 #s(literal -1 binary32) sinTheta_O)) (neg.f32 sinTheta_O))
(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 sinTheta_O (/.f32 sinTheta_i (neg.f32 v))))
(exp.f32 (/.f32 (*.f32 (neg.f32 sinTheta_i) sinTheta_O) v))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32))) v))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (E.f32) (-.f32 #s(literal 6931/10000 binary32) (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))))))
Outputs
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (E.f32) (-.f32 #s(literal 6931/10000 binary32) (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))))))
Calls

6 calls:

14.0ms
cosTheta_O
14.0ms
sinTheta_i
13.0ms
sinTheta_O
12.0ms
cosTheta_i
11.0ms
v
Results
AccuracySegmentsBranch
99.8%1cosTheta_i
99.8%1cosTheta_O
99.8%1sinTheta_i
99.8%1sinTheta_O
99.8%1v
99.8%1(*.f32 sinTheta_i sinTheta_O)
Compiler

Compiled 38 to 31 computations (18.4% saved)

regimes77.0ms (0.5%)

Counts
24 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)))
(*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (/.f32 sinTheta_O v)))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
(-.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (/.f32 sinTheta_O v)))
(+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v))))
(*.f32 sinTheta_O (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) (/.f32 sinTheta_i v)))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v))) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(*.f32 (+.f32 (/.f32 sinTheta_i v) (/.f32 #s(literal -1 binary32) sinTheta_O)) (neg.f32 sinTheta_O))
(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 sinTheta_O (/.f32 sinTheta_i (neg.f32 v))))
(exp.f32 (/.f32 (*.f32 (neg.f32 sinTheta_i) sinTheta_O) v))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32))) v))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))))
Outputs
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
Calls

6 calls:

15.0ms
cosTheta_O
13.0ms
sinTheta_i
13.0ms
cosTheta_i
12.0ms
sinTheta_O
12.0ms
v
Results
AccuracySegmentsBranch
99.7%1cosTheta_i
99.7%1cosTheta_O
99.7%1sinTheta_i
99.7%1sinTheta_O
99.7%1v
99.7%1(*.f32 sinTheta_i sinTheta_O)
Compiler

Compiled 38 to 31 computations (18.4% saved)

regimes64.0ms (0.5%)

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

6 calls:

13.0ms
sinTheta_i
11.0ms
v
11.0ms
cosTheta_i
10.0ms
sinTheta_O
10.0ms
cosTheta_O
Results
AccuracySegmentsBranch
97.8%1cosTheta_i
97.8%1cosTheta_O
97.8%1sinTheta_i
97.8%1sinTheta_O
97.8%1v
97.8%1(*.f32 sinTheta_i sinTheta_O)
Compiler

Compiled 38 to 31 computations (18.4% saved)

regimes47.0ms (0.3%)

Counts
13 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)))
(*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (/.f32 sinTheta_O v)))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
(-.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (/.f32 sinTheta_O v)))
(+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v))))
(*.f32 sinTheta_O (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) (/.f32 sinTheta_i v)))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v))) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(*.f32 (+.f32 (/.f32 sinTheta_i v) (/.f32 #s(literal -1 binary32) sinTheta_O)) (neg.f32 sinTheta_O))
Outputs
(*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
Calls

6 calls:

8.0ms
cosTheta_O
8.0ms
cosTheta_i
8.0ms
sinTheta_O
7.0ms
sinTheta_i
7.0ms
v
Results
AccuracySegmentsBranch
39.7%1cosTheta_i
39.7%1cosTheta_O
39.7%1sinTheta_i
39.7%1sinTheta_O
39.7%1v
39.7%1(*.f32 sinTheta_i sinTheta_O)
Compiler

Compiled 38 to 31 computations (18.4% saved)

regimes21.0ms (0.2%)

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

5 calls:

5.0ms
v
4.0ms
sinTheta_O
4.0ms
cosTheta_O
4.0ms
cosTheta_i
4.0ms
sinTheta_i
Results
AccuracySegmentsBranch
39.6%1sinTheta_O
39.6%1sinTheta_i
39.6%1v
39.6%1cosTheta_i
39.6%1cosTheta_O
Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes18.0ms (0.1%)

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

5 calls:

4.0ms
cosTheta_i
4.0ms
cosTheta_O
3.0ms
sinTheta_O
3.0ms
v
3.0ms
sinTheta_i
Results
AccuracySegmentsBranch
23.3%1sinTheta_O
23.3%1cosTheta_i
23.3%1sinTheta_i
23.3%1v
23.3%1cosTheta_O
Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes14.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

5 calls:

3.0ms
sinTheta_O
3.0ms
cosTheta_i
3.0ms
sinTheta_i
3.0ms
cosTheta_O
3.0ms
v
Results
AccuracySegmentsBranch
6.4%1cosTheta_i
6.4%1sinTheta_O
6.4%1sinTheta_i
6.4%1v
6.4%1cosTheta_O
Compiler

Compiled 30 to 25 computations (16.7% saved)

simplify9.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
036222
158222
278222
399222
4121222
5128222
6130222
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (E.f32) (-.f32 #s(literal 6931/10000 binary32) (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
(exp.f32 (/.f32 #s(literal -1 binary32) v))
(*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
#s(literal 1 binary32)
Outputs
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))
(exp.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal -1 binary32) v)))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (E.f32) (-.f32 #s(literal 6931/10000 binary32) (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(exp.f32 (/.f32 #s(literal -1 binary32) v))
(*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
#s(literal 1 binary32)
Compiler

Compiled 99 to 81 computations (18.2% saved)

soundness1.6s (10.9%)

Rules
795×exp-diff
784×fma-define
753×fma-define
750×times-frac
741×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0108530825
1269428413
034364
1561346
0126338219
1329536343
068722882
1188720471
2665419630
035465
1518432
27461432
0107156980
1311453700
01732130
14851898
214481854
357471854
Stop Event
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 1209 to 671 computations (44.5% saved)

end0.0ms (0%)

preprocess87.0ms (0.6%)

Remove

(sort sinTheta_i sinTheta_O)

(sort cosTheta_i cosTheta_O)

Compiler

Compiled 764 to 636 computations (16.8% saved)

Profiling

Loading profile data...