HairBSDF, Mp, lower

Time bar (total: 12.1s)

analyze685.0ms (5.7%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%3%97%0%0%0%0
0%0%3%97%0%0%0%1
0%0%3%97%0%0%0%2
0%0%3%97%0%0%0%3
0%0%3%97%0%0%0%4
0%0%3%97%0%0%0%5
0%0%1.5%97%0%1.5%0%6
0%0%1.5%97%0%1.5%0%7
0%0%1.5%97%0%1.5%0%8
0%0%1.5%97%0%1.5%0%9
0%0%1.5%97%0%1.5%0%10
0%0%1.5%97%0%1.5%0%11
0%0%1.5%97%0%1.5%0%12
Compiler

Compiled 69 to 43 computations (37.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 422.0ms
ival-<=: 175.0ms (41.5% of total)
ival-div: 77.0ms (18.2% of total)
ival-mult: 72.0ms (17.1% of total)
ival-sub: 21.0ms (5% of total)
ival-add: 20.0ms (4.7% of total)
ival-log: 20.0ms (4.7% of total)
ival-and: 17.0ms (4% of total)
ival-exp: 14.0ms (3.3% of total)
const: 6.0ms (1.4% of total)
backward-pass: 1.0ms (0.2% of total)

sample2.7s (22%)

Results
1.9s8256×0valid
45.0ms115×0invalid
Precisions
Click to see histograms. Total time spent on operations: 1.6s
ival-<=: 401.0ms (25.4% of total)
ival-div: 357.0ms (22.6% of total)
ival-mult: 305.0ms (19.3% of total)
ival-log: 146.0ms (9.3% of total)
ival-sub: 102.0ms (6.5% of total)
ival-add: 94.0ms (6% of total)
ival-and: 73.0ms (4.6% of total)
ival-exp: 71.0ms (4.5% of total)
const: 27.0ms (1.7% of total)
backward-pass: 4.0ms (0.3% of total)
Bogosity

preprocess115.0ms (0.9%)

Algorithm
egg-herbie
Rules
1590×exp-diff
1500×times-frac
914×fmm-def
660×fma-define
552×associate-+l-
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01732130
14851898
214481854
357471854
Stop Event
node limit
Calls
Call 1
Inputs
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 (neg.f32 cosTheta_i) cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i (neg.f32 cosTheta_O)) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 (neg.f32 sinTheta_i) sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (neg.f32 v)) (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (/.f32 #s(literal 1 binary32) (neg.f32 v))) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 v))))))
(neg.f32 (exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 (neg.f32 cosTheta_i) cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))))
(neg.f32 (exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i (neg.f32 cosTheta_O)) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))))
(neg.f32 (exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 (neg.f32 sinTheta_i) sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))))
(neg.f32 (exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))))
(neg.f32 (exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (neg.f32 v)) (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (/.f32 #s(literal 1 binary32) (neg.f32 v))) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 v)))))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 sinTheta_i cosTheta_O) v) (/.f32 (*.f32 cosTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 sinTheta_O cosTheta_O) v) (/.f32 (*.f32 sinTheta_i cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 v cosTheta_O) cosTheta_i) (/.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i)) (/.f32 #s(literal 1 binary32) cosTheta_i)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta_i)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i sinTheta_i) v) (/.f32 (*.f32 cosTheta_O sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i sinTheta_O) v) (/.f32 (*.f32 sinTheta_i cosTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i v) cosTheta_O) (/.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_O)) (/.f32 #s(literal 1 binary32) cosTheta_O)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta_O)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) sinTheta_i) (/.f32 (*.f32 v sinTheta_O) sinTheta_i)) (/.f32 #s(literal 1 binary32) sinTheta_i)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) sinTheta_i)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) sinTheta_O) (/.f32 (*.f32 sinTheta_i v) sinTheta_O)) (/.f32 #s(literal 1 binary32) sinTheta_O)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) sinTheta_O)))))
Outputs
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 (neg.f32 cosTheta_i) cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (*.f32 cosTheta_i (/.f32 (neg.f32 cosTheta_O) v)) (+.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 #s(literal 1 binary32) v))))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 (*.f32 cosTheta_i (/.f32 (neg.f32 cosTheta_O) v)) (-.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 #s(literal -1 binary32) v) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i (neg.f32 cosTheta_O)) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (*.f32 cosTheta_i (/.f32 (neg.f32 cosTheta_O) v)) (+.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 #s(literal 1 binary32) v))))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 (*.f32 cosTheta_i (/.f32 (neg.f32 cosTheta_O) v)) (-.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 #s(literal -1 binary32) v) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 (neg.f32 sinTheta_i) sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v))))))
(*.f32 (exp.f32 (+.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (*.f32 sinTheta_i (/.f32 sinTheta_O v))) (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))) (/.f32 #s(literal 1/2 binary32) v))
(*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal -1 binary32) v))))) (/.f32 #s(literal 1/2 binary32) v))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v))))))
(*.f32 (exp.f32 (+.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (*.f32 sinTheta_i (/.f32 sinTheta_O v))) (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))) (/.f32 #s(literal 1/2 binary32) v))
(*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal -1 binary32) v))))) (/.f32 #s(literal 1/2 binary32) v))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (neg.f32 v)) (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (/.f32 #s(literal 1 binary32) (neg.f32 v))) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 v))))))
(exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O (neg.f32 v))) (+.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v))) (/.f32 #s(literal 1 binary32) (neg.f32 v)))) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) (neg.f32 v))))))
(*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (*.f32 cosTheta_i (/.f32 (neg.f32 cosTheta_O) v)) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))))) (/.f32 #s(literal -1/2 binary32) v))
(*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_i (/.f32 (neg.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))
(*.f32 (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)))) (/.f32 #s(literal -1/2 binary32) 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 (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 (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 #s(literal -1/2 binary32) v))
(*.f32 (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 #s(literal -1/2 binary32) v))
(*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 #s(literal -1 binary32) v) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))))) (/.f32 #s(literal -1/2 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 (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 (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 #s(literal -1/2 binary32) v))
(*.f32 (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 #s(literal -1/2 binary32) v))
(*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 #s(literal -1 binary32) v) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))))) (/.f32 #s(literal -1/2 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 (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))
(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 (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))
(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)))))))
(neg.f32 (exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O (neg.f32 v))) (+.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v))) (/.f32 #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))))) (neg.f32 (/.f32 #s(literal -1/2 binary32) v)))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_i (/.f32 (neg.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_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 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 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 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (*.f32 sinTheta_i (/.f32 cosTheta_O v)) (+.f32 (*.f32 cosTheta_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 sinTheta_i v))) (fma.f32 cosTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 (*.f32 cosTheta_O (/.f32 sinTheta_i v)) (+.f32 (fma.f32 cosTheta_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 #s(literal 6931/10000 binary32) (-.f32 (*.f32 cosTheta_O (/.f32 sinTheta_i v)) (fma.f32 cosTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 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 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (*.f32 cosTheta_O (/.f32 sinTheta_O v)) (+.f32 (*.f32 sinTheta_i (/.f32 cosTheta_i v)) (/.f32 #s(literal 1 binary32) v))))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 (*.f32 cosTheta_O (/.f32 sinTheta_O v)) (-.f32 (fma.f32 cosTheta_i (/.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 #s(literal 6931/10000 binary32) (-.f32 (*.f32 cosTheta_O (/.f32 sinTheta_O v)) (fma.f32 cosTheta_i (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_O (/.f32 sinTheta_O v) (neg.f32 (fma.f32 sinTheta_i (/.f32 cosTheta_i v) (/.f32 #s(literal 1 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 cosTheta_O v) cosTheta_i) (+.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O cosTheta_i)) (/.f32 #s(literal 1 binary32) cosTheta_i))) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) cosTheta_i)))))
(*.f32 (exp.f32 (-.f32 (*.f32 cosTheta_O (/.f32 v cosTheta_i)) (-.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O cosTheta_i) (/.f32 #s(literal 1 binary32) cosTheta_i)) #s(literal 6931/10000 binary32)))) (/.f32 #s(literal 1/2 binary32) cosTheta_i))
(*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (*.f32 v (/.f32 cosTheta_O cosTheta_i)) (fma.f32 sinTheta_i (/.f32 sinTheta_O cosTheta_i) (/.f32 #s(literal 1 binary32) cosTheta_i))))) (/.f32 #s(literal 1/2 binary32) cosTheta_i))
(*.f32 (exp.f32 (-.f32 (*.f32 cosTheta_O (/.f32 v cosTheta_i)) (+.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i cosTheta_i) (/.f32 #s(literal 1 binary32) cosTheta_i)) #s(literal -6931/10000 binary32)))) (/.f32 #s(literal 1/2 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 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (*.f32 sinTheta_i (/.f32 cosTheta_i v)) (+.f32 (*.f32 cosTheta_O (/.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 sinTheta_i v)) (-.f32 (fma.f32 sinTheta_O (/.f32 cosTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (*.f32 cosTheta_i (/.f32 sinTheta_i v)) (fma.f32 sinTheta_O (/.f32 cosTheta_O v) (/.f32 #s(literal 1 binary32) v))))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_i (/.f32 sinTheta_i v) (fma.f32 cosTheta_O (/.f32 sinTheta_O (neg.f32 v)) (/.f32 #s(literal -1 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 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (*.f32 cosTheta_i (/.f32 sinTheta_O v)) (+.f32 (*.f32 sinTheta_i (/.f32 cosTheta_O v)) (/.f32 #s(literal 1 binary32) v))))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (*.f32 cosTheta_i (/.f32 sinTheta_O v)) (fma.f32 sinTheta_i (/.f32 cosTheta_O v) (/.f32 #s(literal 1 binary32) v))))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_i (/.f32 sinTheta_O v) (fma.f32 sinTheta_i (/.f32 (neg.f32 cosTheta_O) v) (/.f32 #s(literal -1 binary32) v))))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_i (/.f32 sinTheta_O v) (fma.f32 (neg.f32 sinTheta_i) (/.f32 cosTheta_O v) (/.f32 #s(literal -1 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 cosTheta_i (/.f32 v cosTheta_O)) (+.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O cosTheta_O)) (/.f32 #s(literal 1 binary32) cosTheta_O))) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) cosTheta_O)))))
(*.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (*.f32 cosTheta_i (/.f32 v cosTheta_O))) (fma.f32 sinTheta_i (/.f32 sinTheta_O cosTheta_O) (/.f32 #s(literal 1 binary32) cosTheta_O)))) (/.f32 #s(literal 1/2 binary32) cosTheta_O))
(*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (*.f32 cosTheta_i (/.f32 v cosTheta_O)) (fma.f32 sinTheta_O (/.f32 sinTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) cosTheta_O))))) (/.f32 #s(literal 1/2 binary32) cosTheta_O))
(*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (*.f32 cosTheta_i (/.f32 v cosTheta_O)) (fma.f32 sinTheta_i (/.f32 sinTheta_O cosTheta_O) (/.f32 #s(literal 1 binary32) cosTheta_O))))) (/.f32 #s(literal 1/2 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 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) 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 cosTheta_i cosTheta_O) sinTheta_i) (+.f32 (/.f32 (*.f32 v sinTheta_O) sinTheta_i) (/.f32 #s(literal 1 binary32) sinTheta_i))) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) sinTheta_i)))))
(*.f32 (exp.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O sinTheta_i)) (-.f32 (fma.f32 v (/.f32 sinTheta_O sinTheta_i) (/.f32 #s(literal 1 binary32) sinTheta_i)) #s(literal 6931/10000 binary32)))) (/.f32 #s(literal 1/2 binary32) sinTheta_i))
(*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_i (/.f32 cosTheta_O sinTheta_i) (fma.f32 v (/.f32 sinTheta_O (neg.f32 sinTheta_i)) (/.f32 #s(literal -1 binary32) sinTheta_i))))) (/.f32 #s(literal 1/2 binary32) sinTheta_i))
(*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O sinTheta_i)) (fma.f32 v (/.f32 sinTheta_O sinTheta_i) (/.f32 #s(literal 1 binary32) sinTheta_i))))) (/.f32 #s(literal 1/2 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)))))
(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)

explain186.0ms (1.5%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
862(4.534119127126192e-28 6.661588973508802e-28 5.119158813212191e-15 4.1376412712734734e-11 2.3774652385677442e-11)26(3.3377505695553355e-30 5.431210197903648e-16 -1.6146236347935883e-8 6.394766851100398e-32 5.449399617085765e-32)(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
782(-4.109693634291034e-7 -1.737974096216531e-25 -4.445245067616001e-27 -1.2027634844133959e-36 5.136985991398252e-18)25(5.781431032904893e-19 0.10590812563896179 -1.7324667377624403e-26 8.236125392022781e-16 2.7728585757797602e-14)(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
04(2.94135632005404e-17 2.217837469231654e-9 -6.075364581192844e-6 3.40050897325566e-14 0.0024194081779569387)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))
Results
104.0ms512×0valid
Compiler

Compiled 308 to 65 computations (78.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 57.0ms
ival-div: 16.0ms (27.9% of total)
ival-mult: 14.0ms (24.4% of total)
ival-exp: 8.0ms (14% of total)
ival-log: 7.0ms (12.2% of total)
ival-sub: 5.0ms (8.7% of total)
ival-add: 5.0ms (8.7% of total)
const: 1.0ms (1.7% of total)
backward-pass: 0.0ms (0% of total)

eval1.0ms (0%)

Compiler

Compiled 91 to 37 computations (59.3% 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)

localize226.0ms (1.9%)

Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f32 cosTheta_O v)
cost-diff0
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
cost-diff0
(-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))
cost-diff0
(/.f32 #s(literal 1/2 binary32) v)
cost-diff0
(/.f32 sinTheta_O v)
cost-diff0
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
cost-diff0
(/.f32 cosTheta_O v)
cost-diff0
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
accuracy99.9%
(+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))
accuracy99.9%
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))))
accuracy99.8%
(exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32)))
accuracy99.3%
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
accuracy99.9%
(+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))
accuracy99.8%
(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)))))
accuracy99.3%
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
accuracy99.3%
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
Rules
1460×fma-define
1370×fmm-def
1260×exp-sum
702×sub-neg
700×exp-diff
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
035823
175823
2176795
3516795
41710795
54814789
67613789
Stop Event
node limit
Calls
Call 1
Inputs
(exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
(+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))
(-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 #s(literal 1 binary32) v)))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
cosTheta_i
(/.f32 cosTheta_O v)
cosTheta_O
v
(+.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 #s(literal 1 binary32) v))
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
sinTheta_i
(/.f32 sinTheta_O v)
sinTheta_O
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
(+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
#s(literal 6931/10000 binary32)
(log.f32 (/.f32 #s(literal 1/2 binary32) v))
(/.f32 #s(literal 1/2 binary32) v)
#s(literal 1/2 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 #s(literal 1/2 binary32) v)
#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 (*.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 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
cosTheta_i
(/.f32 cosTheta_O v)
cosTheta_O
(fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))
sinTheta_i
(/.f32 sinTheta_O v)
sinTheta_O
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
#s(literal 6931/10000 binary32)
Outputs
(exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
(exp.f32 (+.f32 (-.f32 (*.f32 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)))))
(exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.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 (exp.f32 (-.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 #s(literal -1 binary32) v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal -6931/10000 binary32)))) (/.f32 #s(literal 1/2 binary32) v))
(*.f32 (exp.f32 (-.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) #s(literal 6931/10000 binary32)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(literal 1/2 binary32) v))
(/.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) (fma.f32 cosTheta_i (/.f32 cosTheta_O v) #s(literal 6931/10000 binary32)))))
(+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))
(+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (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 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.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 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 #s(literal -1 binary32) v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal -6931/10000 binary32))))
(+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) #s(literal 6931/10000 binary32)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))))
(-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 #s(literal 1 binary32) v)))
(-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) (*.f32 (/.f32 #s(literal -1 binary32) v) (-.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal -1 binary32))))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
cosTheta_i
(/.f32 cosTheta_O v)
cosTheta_O
v
(+.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 #s(literal 1 binary32) v))
(fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
sinTheta_i
(/.f32 sinTheta_O v)
sinTheta_O
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
(+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
#s(literal 6931/10000 binary32)
(log.f32 (/.f32 #s(literal 1/2 binary32) v))
(/.f32 #s(literal 1/2 binary32) v)
#s(literal 1/2 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))))
(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))) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
(exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.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 (exp.f32 (-.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 #s(literal -1 binary32) v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal -6931/10000 binary32)))) (/.f32 #s(literal 1/2 binary32) v))
(*.f32 (exp.f32 (-.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) #s(literal 6931/10000 binary32)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(literal 1/2 binary32) v))
(/.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) (fma.f32 cosTheta_i (/.f32 cosTheta_O v) #s(literal 6931/10000 binary32)))))
(/.f32 #s(literal 1/2 binary32) v)
#s(literal 1/2 binary32)
v
(exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32)))
(exp.f32 (-.f32 (+.f32 #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))))
(exp.f32 (-.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 #s(literal -1 binary32) v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal -6931/10000 binary32))))
(exp.f32 (-.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) #s(literal 6931/10000 binary32)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))))
(+.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 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 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 #s(literal -1 binary32) v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal -6931/10000 binary32)))
(-.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) #s(literal 6931/10000 binary32)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))
(-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) (*.f32 (/.f32 #s(literal -1 binary32) v) (-.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal -1 binary32))))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
cosTheta_i
(/.f32 cosTheta_O v)
cosTheta_O
(fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))
sinTheta_i
(/.f32 sinTheta_O v)
sinTheta_O
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
#s(literal 6931/10000 binary32)
Results
99.0ms256×0valid
Compiler

Compiled 216 to 26 computations (88% saved)

Precisions
Click to see histograms. Total time spent on operations: 63.0ms
ival-add: 34.0ms (53.6% of total)
ival-div: 8.0ms (12.6% of total)
ival-mult: 7.0ms (11% of total)
<compiled-spec>: 4.0ms (6.3% of total)
ival-log: 4.0ms (6.3% of total)
ival-exp: 3.0ms (4.7% of total)
ival-sub: 3.0ms (4.7% of total)
const: 1.0ms (1.6% of total)
backward-pass: 0.0ms (0% of total)

series122.0ms (1%)

Counts
11 → 432
Calls
Call 1
Inputs
#<alt (*.f32 sinTheta_i (/.f32 sinTheta_O v))>
#<alt (*.f32 cosTheta_i (/.f32 cosTheta_O v))>
#<alt (exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))>
#<alt (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))>
#<alt (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 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))))>
#<alt (+.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 cosTheta_O v)>
#<alt (/.f32 sinTheta_O v)>
#<alt (/.f32 #s(literal 1/2 binary32) v)>
#<alt (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))>
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)>
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#<alt #s(literal 6931/10000 binary32)>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))>
#<alt #s(literal 6931/10000 binary32)>
#<alt (+.f32 #s(literal 6931/10000 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (*.f32 cosTheta_O cosTheta_i))) (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))) v)))>
#<alt (+.f32 #s(literal 6931/10000 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (*.f32 cosTheta_O cosTheta_i))) (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))) v)))>
#<alt (+.f32 #s(literal 6931/10000 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (*.f32 cosTheta_O cosTheta_i))) (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))) v)))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 #s(literal 1 binary32) v))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 #s(literal 1 binary32) v))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 #s(literal 1 binary32) v))>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))>
#<alt (*.f32 sinTheta_i (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) sinTheta_i)) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i v))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_i v)) (/.f32 sinTheta_O v))))>
#<alt (*.f32 sinTheta_i (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) sinTheta_i)) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i v))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_i v)) (/.f32 sinTheta_O v))))>
#<alt (*.f32 sinTheta_i (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) sinTheta_i)) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i v))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_i v)) (/.f32 sinTheta_O v))))>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_i (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)) sinTheta_i)) (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_i (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)) sinTheta_i)) (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_i (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)) sinTheta_i)) (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v)))))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 #s(literal 1 binary32) v))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 #s(literal 1 binary32) v))>
#<alt (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 #s(literal 1 binary32) v))>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))>
#<alt (*.f32 sinTheta_O (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) sinTheta_O)) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O v))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_O v)) (/.f32 sinTheta_i v))))>
#<alt (*.f32 sinTheta_O (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) sinTheta_O)) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O v))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_O v)) (/.f32 sinTheta_i v))))>
#<alt (*.f32 sinTheta_O (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) sinTheta_O)) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O v))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_O v)) (/.f32 sinTheta_i v))))>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)) sinTheta_O)) (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_i v)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)) sinTheta_O)) (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_i v)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)) sinTheta_O)) (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_i v)))))>
#<alt (*.f32 #s(literal -1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))>
#<alt (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))>
#<alt (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))>
#<alt (-.f32 (/.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 #s(literal -1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) cosTheta_i)) (/.f32 cosTheta_O v)))>
#<alt (*.f32 cosTheta_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) cosTheta_i)) (/.f32 cosTheta_O v)))>
#<alt (*.f32 cosTheta_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) cosTheta_i)) (/.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 #s(literal -1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))>
#<alt (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))>
#<alt (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))>
#<alt (-.f32 (/.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 #s(literal -1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) cosTheta_O)) (/.f32 cosTheta_i v)))>
#<alt (*.f32 cosTheta_O (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) cosTheta_O)) (/.f32 cosTheta_i v)))>
#<alt (*.f32 cosTheta_O (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) cosTheta_O)) (/.f32 cosTheta_i v)))>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 cosTheta_O (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 cosTheta_i v)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_O v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_O v))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 cosTheta_O (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 cosTheta_i v)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_O v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_O v))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 cosTheta_O (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 cosTheta_i v)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_O v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_O v))))))>
#<alt (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v)>
#<alt (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v)>
#<alt (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v)>
#<alt (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v)>
#<alt (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v)>
#<alt (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v)>
#<alt (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v)>
#<alt (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v)>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (*.f32 cosTheta_O cosTheta_i))) (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))) v))>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (*.f32 cosTheta_O cosTheta_i))) (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))) v))>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (*.f32 cosTheta_O cosTheta_i))) (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))) v))>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (*.f32 cosTheta_O cosTheta_i))) (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))) v))>
#<alt (-.f32 (/.f32 (*.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 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))>
#<alt (*.f32 sinTheta_i (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i v)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_i v)) (/.f32 sinTheta_O v))))>
#<alt (*.f32 sinTheta_i (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i v)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_i v)) (/.f32 sinTheta_O v))))>
#<alt (*.f32 sinTheta_i (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i v)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_i v)) (/.f32 sinTheta_O v))))>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_i (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1 binary32) v)) sinTheta_i)) (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_i (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1 binary32) v)) sinTheta_i)) (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_i (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1 binary32) v)) sinTheta_i)) (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v)))))>
#<alt (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) 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 (+.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 cosTheta_O cosTheta_i) (*.f32 sinTheta_O v)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_O v)) (/.f32 sinTheta_i v))))>
#<alt (*.f32 sinTheta_O (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O v)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_O v)) (/.f32 sinTheta_i v))))>
#<alt (*.f32 sinTheta_O (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O v)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_O v)) (/.f32 sinTheta_i v))))>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1 binary32) v)) sinTheta_O)) (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_i v)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1 binary32) v)) sinTheta_O)) (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_i v)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1 binary32) v)) sinTheta_O)) (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_i v)))))>
Calls

123 calls:

TimeVariablePointExpression
12.0ms
v
@inf
(exp (+ (- (* cosTheta_i (/ cosTheta_O v)) (+ (* sinTheta_i (/ sinTheta_O v)) (/ 1 v))) (+ 6931/10000 (log (/ 1/2 v)))))
8.0ms
cosTheta_i
@0
(+ (- (* cosTheta_i (/ cosTheta_O v)) (+ (* sinTheta_i (/ sinTheta_O v)) (/ 1 v))) (+ 6931/10000 (log (/ 1/2 v))))
6.0ms
v
@-inf
(+ (- (* cosTheta_i (/ cosTheta_O v)) (+ (* sinTheta_i (/ sinTheta_O v)) (/ 1 v))) (+ 6931/10000 (log (/ 1/2 v))))
5.0ms
v
@-inf
(+ (- (* cosTheta_i (/ cosTheta_O v)) (+ (* sinTheta_i (/ sinTheta_O v)) (/ 1 v))) 6931/10000)
4.0ms
v
@inf
(+ (- (* cosTheta_i (/ cosTheta_O v)) (+ (* sinTheta_i (/ sinTheta_O v)) (/ 1 v))) (+ 6931/10000 (log (/ 1/2 v))))

rewrite762.0ms (6.3%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
035539
1518501
27461501
Stop Event
node limit
Counts
11 → 398
Calls
Call 1
Inputs
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
(+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))
(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_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 cosTheta_O v)
(/.f32 sinTheta_O v)
(/.f32 #s(literal 1/2 binary32) v)
(-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))
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 cosTheta_i) (/.f32 cosTheta_O v)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)))))
(cbrt.f32 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v))))
(log1p.f32 (expm1.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v))))
(exp.f32 (log.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v))))
(exp.f32 (*.f32 (log.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) v)))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) v)))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) v))
(*.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) v) (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))))
(*.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) v)) #s(literal 1 binary32))
(*.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1/2 binary32) v))
(*.f32 (exp.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))))
(*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v))))
(*.f32 (pow.f32 (cbrt.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))) (/.f32 #s(literal 1/2 binary32) v)))
(*.f32 (cbrt.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) v))) (pow.f32 (cbrt.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) v))) #s(literal 2 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) v))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) v))))
(*.f32 (pow.f32 (cbrt.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))))
(*.f32 (sqrt.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))) (*.f32 (sqrt.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))) (/.f32 #s(literal 1/2 binary32) v)))
(*.f32 (sqrt.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) v))) (sqrt.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) v))))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1/2 binary32) v)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))))
(*.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))) (/.f32 #s(literal 1 binary32) v))
(*.f32 (/.f32 #s(literal 1/2 binary32) (pow.f32 (cbrt.f32 v) #s(literal 2 binary32))) (/.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) (cbrt.f32 v)))
(*.f32 (/.f32 #s(literal 1/2 binary32) (sqrt.f32 v)) (/.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) (sqrt.f32 v)))
(*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)))) (exp.f32 #s(literal 6931/10000 binary32)))
(*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (cbrt.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))) #s(literal 2 binary32))) (cbrt.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))))
(*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (sqrt.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))))) (sqrt.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))))
(*.f32 (*.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) (pow.f32 (cbrt.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 2 binary32))) (cbrt.f32 (/.f32 #s(literal 1/2 binary32) v)))
(*.f32 (*.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) (sqrt.f32 (/.f32 #s(literal 1/2 binary32) v))) (sqrt.f32 (/.f32 #s(literal 1/2 binary32) v)))
(/.f32 #s(literal 1 binary32) (/.f32 v (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))))))
(/.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) (*.f32 v #s(literal 2 binary32)))
(/.f32 (pow.f32 (exp.f32 cosTheta_i) (/.f32 cosTheta_O v)) (exp.f32 (-.f32 (+.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)) #s(literal -6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))) v)
(/.f32 (neg.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))))) (neg.f32 v))
(/.f32 (*.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) #s(literal -1/2 binary32)) (neg.f32 v))
(/.f32 (*.f32 #s(literal -1/2 binary32) (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))) (neg.f32 v))
(/.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))) #s(literal 1 binary32)) v)
(/.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))) (pow.f32 (cbrt.f32 v) #s(literal 2 binary32))) (cbrt.f32 v))
(/.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))) (sqrt.f32 v)) (sqrt.f32 v))
(pow.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) v)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) v))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) v)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) v))) #s(literal 2 binary32))
(pow.f32 (exp.f32 #s(literal 1 binary32)) (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))) #s(literal 2 binary32))) (cbrt.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))))
(pow.f32 (exp.f32 (sqrt.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))))) (sqrt.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))))
(sqrt.f32 (pow.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) v)) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))) (/.f32 #s(literal 1/2 binary32) v)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) v)))))
(cbrt.f32 (pow.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) v)) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 #s(literal 1/2 binary32) v) #s(literal 3 binary32)) (pow.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1/2 binary32) v) #s(literal 3 binary32))))
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(/.f32 #s(literal 1 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 (*.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 1 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 (*.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 (-.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 (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 (-.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))) (fma.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_i cosTheta_O) (+.f32 (pow.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 2 binary32)) (-.f32 (pow.f32 v #s(literal -2 binary32)) (/.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) v)))) (*.f32 v (+.f32 (pow.f32 v #s(literal -3 binary32)) (pow.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 3 binary32))))) (*.f32 v (+.f32 (pow.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 2 binary32)) (-.f32 (pow.f32 v #s(literal -2 binary32)) (/.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) v)))))
(/.f32 (-.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 (-.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) v)) (*.f32 v (-.f32 (pow.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 2 binary32)) (pow.f32 v #s(literal -2 binary32))))) (*.f32 v (/.f32 (-.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) v)))
(/.f32 (neg.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)))) (neg.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 (neg.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)))) (neg.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (+.f32 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(literal 3 binary32)) (pow.f32 (neg.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(literal 2 binary32)) (-.f32 (*.f32 (neg.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) (neg.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))) (*.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (neg.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))))))
(/.f32 (-.f32 (pow.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) #s(literal 3 binary32)) (pow.f32 v #s(literal -3 binary32))) (+.f32 (*.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)) (+.f32 (pow.f32 v #s(literal -2 binary32)) (*.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (-.f32 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(literal 2 binary32)) (*.f32 (neg.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) (neg.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))))) (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (neg.f32 (fma.f32 sinTheta_i (/.f32 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 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)) (pow.f32 v #s(literal -2 binary32))) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)))
(pow.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v))) #s(literal 3 binary32))
(pow.f32 (sqrt.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 (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)) #s(literal 1/3 binary32))
(sqrt.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)))
(log.f32 (exp.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)))))
(cbrt.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 3 binary32)))
(expm1.f32 (log1p.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v))))
(log1p.f32 (expm1.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v))))
(exp.f32 (log.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v))))
(exp.f32 (*.f32 (log.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v))) #s(literal 1 binary32)))
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) (neg.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))))
(fma.f32 (/.f32 cosTheta_O v) cosTheta_i (neg.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))))
(fma.f32 #s(literal 1 binary32) (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (neg.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))))
(fma.f32 (pow.f32 (cbrt.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (neg.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))))
(fma.f32 (sqrt.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (sqrt.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (neg.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))))

simplify670.0ms (5.5%)

Algorithm
egg-herbie
Rules
1590×fma-define
858×distribute-lft-in
842×times-frac
722×*-commutative
472×sub-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0140665589
1394162768
Stop Event
node limit
Counts
830 → 830
Calls
Call 1
Inputs
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(+.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))) v))
(+.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) (*.f32 cosTheta_i (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (pow.f32 cosTheta_O #s(literal 2 binary32)) (*.f32 cosTheta_i (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))) (pow.f32 v #s(literal 2 binary32)))) (/.f32 (*.f32 cosTheta_O (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) v))))
(+.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) (*.f32 cosTheta_i (+.f32 (*.f32 cosTheta_i (+.f32 (*.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 (pow.f32 cosTheta_O #s(literal 3 binary32)) (*.f32 cosTheta_i (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))) (pow.f32 v #s(literal 3 binary32)))) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (pow.f32 cosTheta_O #s(literal 2 binary32)) (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) (pow.f32 v #s(literal 2 binary32)))))) (/.f32 (*.f32 cosTheta_O (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) v))))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
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(-.f32 (exp.f32 (log1p.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) v))
(*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 1/2 binary32))
(*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) v))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) #s(literal 1 binary32))
(*.f32 (cbrt.f32 (/.f32 #s(literal 1/2 binary32) v)) (pow.f32 (cbrt.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 2 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 2 binary32)) (cbrt.f32 (/.f32 #s(literal 1/2 binary32) v)))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1/2 binary32) v)) (sqrt.f32 (/.f32 #s(literal 1/2 binary32) v)))
(*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 v)))
(*.f32 (*.f32 #s(literal 1/2 binary32) (cbrt.f32 (pow.f32 v #s(literal -2 binary32)))) (/.f32 #s(literal 1 binary32) (cbrt.f32 v)))
(*.f32 (*.f32 #s(literal 1/2 binary32) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32)))
(pow.f32 (/.f32 #s(literal 1/2 binary32) v) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 #s(literal 1/2 binary32) v) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 2 binary32))
(pow.f32 (*.f32 v #s(literal 2 binary32)) #s(literal -1 binary32))
(pow.f32 (exp.f32 #s(literal 1 binary32)) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 2 binary32))) (cbrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) (sqrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))))
(neg.f32 (/.f32 #s(literal -1/2 binary32) v))
(sqrt.f32 (*.f32 #s(literal 1/4 binary32) (pow.f32 v #s(literal -2 binary32))))
(log.f32 (exp.f32 (/.f32 #s(literal 1/2 binary32) v)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 #s(literal 1/2 binary32) v))))
(cbrt.f32 (pow.f32 (/.f32 #s(literal 1/2 binary32) v) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (/.f32 #s(literal 1/2 binary32) v)))
(log1p.f32 (expm1.f32 (/.f32 #s(literal 1/2 binary32) v)))
(exp.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
(+.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (neg.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))))
(+.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (*.f32 (neg.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 1 binary32)))
(+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) (fma.f32 (neg.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 1 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))))
(+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) (fma.f32 (neg.f32 (cbrt.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))) (pow.f32 (cbrt.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))))
(+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) (fma.f32 (neg.f32 (sqrt.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))) (sqrt.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))))
(+.f32 (neg.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) (*.f32 cosTheta_i (/.f32 cosTheta_O v)))
(+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (neg.f32 (/.f32 #s(literal 1 binary32) v)))
(+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) v)))
(+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (*.f32 (neg.f32 (cbrt.f32 (pow.f32 v #s(literal -2 binary32)))) (/.f32 #s(literal 1 binary32) (cbrt.f32 v))))
(+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (*.f32 (neg.f32 (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32))))
(*.f32 #s(literal 1 binary32) (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)))
(*.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 1 binary32))
(*.f32 (cbrt.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v))) (pow.f32 (cbrt.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)) (cbrt.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v))))
(*.f32 (sqrt.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v))) (sqrt.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v))))
(*.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 1 binary32) (+.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 (-.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 1 binary32) (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))))
(*.f32 (+.f32 (sqrt.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (sqrt.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))) (-.f32 (sqrt.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (sqrt.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))))
(/.f32 #s(literal 1 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 (*.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 1 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 (*.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 (-.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 (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 (-.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))) (fma.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_i cosTheta_O) (+.f32 (pow.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 2 binary32)) (-.f32 (pow.f32 v #s(literal -2 binary32)) (/.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) v)))) (*.f32 v (+.f32 (pow.f32 v #s(literal -3 binary32)) (pow.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 3 binary32))))) (*.f32 v (+.f32 (pow.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 2 binary32)) (-.f32 (pow.f32 v #s(literal -2 binary32)) (/.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) v)))))
(/.f32 (-.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 (-.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) v)) (*.f32 v (-.f32 (pow.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 2 binary32)) (pow.f32 v #s(literal -2 binary32))))) (*.f32 v (/.f32 (-.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) v)))
(/.f32 (neg.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)))) (neg.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 (neg.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)))) (neg.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (+.f32 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(literal 3 binary32)) (pow.f32 (neg.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(literal 2 binary32)) (-.f32 (*.f32 (neg.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) (neg.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))) (*.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (neg.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))))))
(/.f32 (-.f32 (pow.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) #s(literal 3 binary32)) (pow.f32 v #s(literal -3 binary32))) (+.f32 (*.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)) (+.f32 (pow.f32 v #s(literal -2 binary32)) (*.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (-.f32 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(literal 2 binary32)) (*.f32 (neg.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) (neg.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))))) (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (neg.f32 (fma.f32 sinTheta_i (/.f32 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 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)) (pow.f32 v #s(literal -2 binary32))) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)))
(pow.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v))) #s(literal 3 binary32))
(pow.f32 (sqrt.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 (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)) #s(literal 1/3 binary32))
(sqrt.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)))
(log.f32 (exp.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)))))
(cbrt.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 3 binary32)))
(expm1.f32 (log1p.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v))))
(log1p.f32 (expm1.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v))))
(exp.f32 (log.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v))))
(exp.f32 (*.f32 (log.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v))) #s(literal 1 binary32)))
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) (neg.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))))
(fma.f32 (/.f32 cosTheta_O v) cosTheta_i (neg.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))))
(fma.f32 #s(literal 1 binary32) (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (neg.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))))
(fma.f32 (pow.f32 (cbrt.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (neg.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))))
(fma.f32 (sqrt.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (sqrt.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (neg.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 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))
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(*.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 1 binary32) (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (-.f32 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(literal 2 binary32)) (pow.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))))
(/.f32 (-.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (pow.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 2 binary32)) (-.f32 (pow.f32 v #s(literal -2 binary32)) (/.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) v)))) (*.f32 v (+.f32 (pow.f32 v #s(literal -3 binary32)) (pow.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 3 binary32))))) (*.f32 v (+.f32 (pow.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 2 binary32)) (-.f32 (pow.f32 v #s(literal -2 binary32)) (/.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) v)))))
(/.f32 (-.f32 (*.f32 cosTheta_i (*.f32 cosTheta_O (-.f32 (+.f32 (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 2 binary32)) (pow.f32 v #s(literal -2 binary32))) (*.f32 sinTheta_i (/.f32 (/.f32 sinTheta_O v) v))))) (*.f32 v (+.f32 (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 3 binary32)) (pow.f32 v #s(literal -3 binary32))))) (*.f32 v (-.f32 (+.f32 (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 2 binary32)) (pow.f32 v #s(literal -2 binary32))) (*.f32 sinTheta_i (/.f32 (/.f32 sinTheta_O v) v)))))
(/.f32 (fma.f32 cosTheta_i (*.f32 cosTheta_O (-.f32 (+.f32 (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 2 binary32)) (pow.f32 v #s(literal -2 binary32))) (*.f32 sinTheta_i (/.f32 (/.f32 sinTheta_O v) v)))) (*.f32 (neg.f32 v) (+.f32 (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 3 binary32)) (pow.f32 v #s(literal -3 binary32))))) (*.f32 v (-.f32 (+.f32 (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 2 binary32)) (pow.f32 v #s(literal -2 binary32))) (*.f32 sinTheta_i (/.f32 (/.f32 sinTheta_O v) v)))))
(/.f32 (-.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 (-.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) v)) (*.f32 v (-.f32 (pow.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 2 binary32)) (pow.f32 v #s(literal -2 binary32))))) (*.f32 v (/.f32 (-.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) v)))
(/.f32 (-.f32 (*.f32 cosTheta_i (*.f32 cosTheta_O (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal -1 binary32)) v))) (*.f32 v (-.f32 (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 2 binary32)) (pow.f32 v #s(literal -2 binary32))))) (*.f32 v (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal -1 binary32)) v)))
(/.f32 (-.f32 (*.f32 cosTheta_i (*.f32 cosTheta_O (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal -1 binary32)) v))) (*.f32 v (-.f32 (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 2 binary32)) (pow.f32 v #s(literal -2 binary32))))) (*.f32 v (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal -1 binary32)) v)))
(/.f32 (neg.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)))) (neg.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 1 binary32) (/.f32 (-.f32 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(literal 3 binary32)) (pow.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)) #s(literal 3 binary32))) (fma.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))) (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(literal 2 binary32)))))
(/.f32 (neg.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)))) (neg.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 1 binary32) (/.f32 (-.f32 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(literal 2 binary32)) (pow.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (+.f32 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(literal 3 binary32)) (pow.f32 (neg.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(literal 2 binary32)) (-.f32 (*.f32 (neg.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) (neg.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))) (*.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (neg.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))))))
(/.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 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(literal 2 binary32)) (*.f32 (neg.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) (-.f32 (neg.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) (*.f32 cosTheta_i (/.f32 cosTheta_O v))))))
(/.f32 (-.f32 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(literal 3 binary32)) (pow.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)) #s(literal 3 binary32))) (fma.f32 (-.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v))) (-.f32 (-.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v))) (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(literal 2 binary32))))
(/.f32 (-.f32 (pow.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) #s(literal 3 binary32)) (pow.f32 v #s(literal -3 binary32))) (+.f32 (*.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)) (+.f32 (pow.f32 v #s(literal -2 binary32)) (*.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (-.f32 (pow.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) v) #s(literal 3 binary32)) (pow.f32 v #s(literal -3 binary32))) (fma.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) v) (/.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) v) (+.f32 (pow.f32 v #s(literal -2 binary32)) (/.f32 (*.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) (/.f32 #s(literal 1 binary32) v)) v))))
(/.f32 (-.f32 (pow.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v) #s(literal 3 binary32)) (pow.f32 v #s(literal -3 binary32))) (+.f32 (fma.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v) (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v) (pow.f32 v #s(literal -2 binary32))) (/.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v) v)))
(/.f32 (-.f32 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(literal 2 binary32)) (*.f32 (neg.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) (neg.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))))) (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (neg.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))))
(*.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 1 binary32) (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (-.f32 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(literal 2 binary32)) (pow.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (fma.f32 sinTheta_O (/.f32 sinTheta_i 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 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)) (pow.f32 v #s(literal -2 binary32))) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)))
(/.f32 (-.f32 (*.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) v) (/.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) v)) (pow.f32 v #s(literal -2 binary32))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) v)))
(/.f32 (-.f32 (*.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v) (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v)) (pow.f32 v #s(literal -2 binary32))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v)))
(pow.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 1 binary32))
(+.f32 (fma.f32 #s(literal -1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)) (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (/.f32 #s(literal -1 binary32) v))
(+.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v) (/.f32 #s(literal -1 binary32) v))
(pow.f32 (cbrt.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v))) #s(literal 3 binary32))
(+.f32 (fma.f32 #s(literal -1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)) (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (/.f32 #s(literal -1 binary32) v))
(+.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v) (/.f32 #s(literal -1 binary32) v))
(pow.f32 (sqrt.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 (fma.f32 #s(literal -1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)) (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (/.f32 #s(literal -1 binary32) v))
(+.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v) (/.f32 #s(literal -1 binary32) v))
(pow.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 3 binary32)) #s(literal 1/3 binary32))
(+.f32 (fma.f32 #s(literal -1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)) (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (/.f32 #s(literal -1 binary32) v))
(+.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v) (/.f32 #s(literal -1 binary32) v))
(sqrt.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)))
(sqrt.f32 (pow.f32 (+.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) v) (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)))
(fabs.f32 (+.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v) (/.f32 #s(literal -1 binary32) v)))
(log.f32 (exp.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v))))
(+.f32 (fma.f32 #s(literal -1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)) (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (/.f32 #s(literal -1 binary32) v))
(+.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v) (/.f32 #s(literal -1 binary32) v))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)))))
(+.f32 (fma.f32 #s(literal -1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)) (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (/.f32 #s(literal -1 binary32) v))
(+.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v) (/.f32 #s(literal -1 binary32) v))
(cbrt.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 3 binary32)))
(+.f32 (fma.f32 #s(literal -1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)) (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (/.f32 #s(literal -1 binary32) v))
(+.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v) (/.f32 #s(literal -1 binary32) v))
(expm1.f32 (log1p.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v))))
(expm1.f32 (log1p.f32 (+.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) v) (/.f32 #s(literal -1 binary32) v))))
(expm1.f32 (log1p.f32 (+.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v) (/.f32 #s(literal -1 binary32) v))))
(log1p.f32 (expm1.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v))))
(+.f32 (fma.f32 #s(literal -1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)) (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (/.f32 #s(literal -1 binary32) v))
(+.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v) (/.f32 #s(literal -1 binary32) v))
(exp.f32 (log.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v))))
(+.f32 (fma.f32 #s(literal -1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)) (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (/.f32 #s(literal -1 binary32) v))
(+.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v) (/.f32 #s(literal -1 binary32) v))
(exp.f32 (*.f32 (log.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v))) #s(literal 1 binary32)))
(+.f32 (fma.f32 #s(literal -1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)) (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (/.f32 #s(literal -1 binary32) v))
(+.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v) (/.f32 #s(literal -1 binary32) v))
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) (neg.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))))
(-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))
(-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (/.f32 #s(literal -1 binary32) v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(fma.f32 (/.f32 cosTheta_O v) cosTheta_i (neg.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))))
(-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))
(-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (/.f32 #s(literal -1 binary32) v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(fma.f32 #s(literal 1 binary32) (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (neg.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))))
(-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))
(-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (/.f32 #s(literal -1 binary32) v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(fma.f32 (pow.f32 (cbrt.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (neg.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))))
(-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))
(-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (/.f32 #s(literal -1 binary32) v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(fma.f32 (sqrt.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (sqrt.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (neg.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))))
(-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v)))
(-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (/.f32 #s(literal -1 binary32) v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))

eval126.0ms (1%)

Compiler

Compiled 33808 to 4711 computations (86.1% saved)

prune189.0ms (1.6%)

Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New97314987
Fresh000
Picked202
Done000
Total97514989
Accuracy
99.9%
Counts
989 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(pow.f32 (exp.f32 #s(literal 1 binary32)) (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))))
99.0%
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (pow.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) #s(literal 3 binary32)) #s(literal 1/3 binary32)))
99.7%
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 #s(literal 1 binary32)) (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))))
99.7%
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (cbrt.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))) #s(literal 3 binary32)))
99.7%
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 (exp.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v))) (exp.f32 #s(literal 6931/10000 binary32))))
99.6%
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (sqrt.f32 (pow.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) #s(literal 2 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)))
99.6%
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))
4.7%
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v))
97.4%
(exp.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v))
13.5%
(exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))
99.7%
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
99.8%
(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))) (/.f32 #s(literal 1 binary32) v))))
Compiler

Compiled 606 to 458 computations (24.4% saved)

localize241.0ms (2%)

Algorithm
egg-herbie
Localize:

Found 38 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)
cost-diff0
(/.f32 #s(literal 1/2 binary32) v)
cost-diff160
(sqrt.f32 (pow.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) #s(literal 2 binary32)))
cost-diff160
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (sqrt.f32 (pow.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) #s(literal 2 binary32))))
cost-diff0
(/.f32 #s(literal 1/2 binary32) v)
cost-diff0
(log.f32 (/.f32 #s(literal 1/2 binary32) v))
cost-diff0
(+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
cost-diff128
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
cost-diff-3136
(/.f32 (-.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v)
cost-diff-3136
(exp.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v))
cost-diff0
(*.f32 sinTheta_O sinTheta_i)
cost-diff0
(*.f32 cosTheta_O cosTheta_i)
cost-diff0
(exp.f32 #s(literal 6931/10000 binary32))
cost-diff0
(/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v)
cost-diff0
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v))
cost-diff0
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
cost-diff0
(/.f32 #s(literal 1/2 binary32) v)
cost-diff0
(log.f32 (/.f32 #s(literal 1/2 binary32) v))
cost-diff128
(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))) (/.f32 #s(literal 1 binary32) v))))
accuracy99.9%
(sqrt.f32 (pow.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) #s(literal 2 binary32)))
accuracy99.8%
(-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))
accuracy99.8%
(exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))
accuracy91.2%
(/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)
accuracy99.9%
(+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
accuracy99.9%
(-.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)))
accuracy99.8%
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
accuracy79.5%
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
accuracy100.0%
(*.f32 sinTheta_O sinTheta_i)
accuracy100.0%
(*.f32 cosTheta_O cosTheta_i)
accuracy99.9%
(/.f32 (-.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v)
accuracy99.8%
(exp.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v))
accuracy100.0%
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v))
accuracy100.0%
(exp.f32 #s(literal 6931/10000 binary32))
accuracy99.0%
(/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v)
accuracy99.9%
(-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (/.f32 #s(literal 1 binary32) v))
accuracy99.8%
(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))) (/.f32 #s(literal 1 binary32) v))))
accuracy99.7%
(+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (*.f32 cosTheta_i (/.f32 cosTheta_O v)))
accuracy99.3%
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
Rules
1322×fma-define
1152×associate-+l-
1008×associate-+r-
966×associate--r+
876×associate-*r*
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0511351
11221284
22801211
37421184
424241180
Stop Event
node limit
Calls
Call 1
Inputs
(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))) (/.f32 #s(literal 1 binary32) 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))) (/.f32 #s(literal 1 binary32) v)))
#s(literal 6931/10000 binary32)
(-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (/.f32 #s(literal 1 binary32) v))
(+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (*.f32 cosTheta_i (/.f32 cosTheta_O v)))
(log.f32 (/.f32 #s(literal 1/2 binary32) v))
(/.f32 #s(literal 1/2 binary32) v)
#s(literal 1/2 binary32)
v
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
cosTheta_i
(/.f32 cosTheta_O v)
cosTheta_O
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v))
#s(literal 1/2 binary32)
(/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v)
(exp.f32 #s(literal 6931/10000 binary32))
#s(literal 6931/10000 binary32)
v
(exp.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v))
(/.f32 (-.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v)
(-.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) (*.f32 sinTheta_O sinTheta_i))
(-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32))
(*.f32 cosTheta_O cosTheta_i)
cosTheta_O
cosTheta_i
#s(literal 1 binary32)
(*.f32 sinTheta_O sinTheta_i)
sinTheta_O
sinTheta_i
v
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(-.f32 (+.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 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
#s(literal 6931/10000 binary32)
(log.f32 (/.f32 #s(literal 1/2 binary32) v))
(/.f32 #s(literal 1/2 binary32) v)
#s(literal 1/2 binary32)
v
(+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O sinTheta_i)
sinTheta_O
sinTheta_i
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (sqrt.f32 (pow.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) #s(literal 2 binary32))))
(/.f32 #s(literal 1/2 binary32) v)
#s(literal 1/2 binary32)
v
(sqrt.f32 (pow.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) #s(literal 2 binary32)))
(pow.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) #s(literal 2 binary32))
(exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))
(+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))
(-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v))
(/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)
(-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))
(*.f32 cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
(*.f32 sinTheta_i sinTheta_O)
sinTheta_i
sinTheta_O
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
#s(literal 6931/10000 binary32)
#s(literal 2 binary32)
Outputs
(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))) (/.f32 #s(literal 1 binary32) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (/.f32 #s(literal 1 binary32) v)))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) 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))) (/.f32 #s(literal 1 binary32) v)))
(+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (/.f32 #s(literal 1 binary32) v))))
(+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))
#s(literal 6931/10000 binary32)
(-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (/.f32 #s(literal 1 binary32) v))
(+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (/.f32 #s(literal 1 binary32) v)))
(+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))
(+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (*.f32 cosTheta_i (/.f32 cosTheta_O v)))
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
(log.f32 (/.f32 #s(literal 1/2 binary32) v))
(/.f32 #s(literal 1/2 binary32) v)
#s(literal 1/2 binary32)
v
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
cosTheta_i
(/.f32 cosTheta_O v)
cosTheta_O
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v))
#s(literal 1/2 binary32)
(/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v)
(exp.f32 #s(literal 6931/10000 binary32))
#s(literal 6931/10000 binary32)
v
(exp.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v))
(exp.f32 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v))
(exp.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))
(/.f32 (-.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v)
(/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v)
(/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v)
(/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)
(-.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) (*.f32 sinTheta_O sinTheta_i))
(-.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i))
(-.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i))
(-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))
(-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32))
(fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))
(fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))
(*.f32 cosTheta_O cosTheta_i)
(*.f32 cosTheta_i cosTheta_O)
cosTheta_O
cosTheta_i
#s(literal 1 binary32)
(*.f32 sinTheta_O sinTheta_i)
sinTheta_O
sinTheta_i
v
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (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 1/2 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 (/.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))))
(-.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))) (+.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))))
(+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
(+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
#s(literal 6931/10000 binary32)
(log.f32 (/.f32 #s(literal 1/2 binary32) v))
(/.f32 #s(literal 1/2 binary32) v)
#s(literal 1/2 binary32)
v
(+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(+.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))
(/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
(*.f32 sinTheta_O sinTheta_i)
sinTheta_O
sinTheta_i
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (sqrt.f32 (pow.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) #s(literal 2 binary32))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (sqrt.f32 (pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) v) (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (fabs.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))))))
(*.f32 #s(literal 1/2 binary32) (/.f32 (fabs.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v)))) v))
(*.f32 #s(literal 1/2 binary32) (/.f32 (fabs.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))) v))
(/.f32 #s(literal 1/2 binary32) v)
#s(literal 1/2 binary32)
v
(sqrt.f32 (pow.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) #s(literal 2 binary32)))
(sqrt.f32 (pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) v) (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32)))
(fabs.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))))
(fabs.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v))))
(fabs.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))))
(pow.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) #s(literal 2 binary32))
(pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) v) (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32))
(pow.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))) #s(literal 2 binary32))
(pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v))) #s(literal 2 binary32))
(exp.f32 (+.f32 #s(literal 6931/5000 binary32) (*.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v) #s(literal 2 binary32))))
(exp.f32 (fma.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) #s(literal 2 binary32) #s(literal 6931/5000 binary32)))
(exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) v) (/.f32 #s(literal 1 binary32) v))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.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 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))
(+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))
(+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) v) (/.f32 #s(literal 1 binary32) v)))
(+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))
(-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v))
(/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v)
(/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v)
(/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)
(/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)
(/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) v)
(-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))
(-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i))
(*.f32 cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
(*.f32 sinTheta_i sinTheta_O)
(*.f32 sinTheta_O sinTheta_i)
sinTheta_i
sinTheta_O
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
#s(literal 6931/10000 binary32)
#s(literal 2 binary32)
Results
118.0ms256×0valid
Compiler

Compiled 364 to 43 computations (88.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 63.0ms
ival-div: 14.0ms (22.1% of total)
ival-mult: 12.0ms (19% of total)
ival-sub: 10.0ms (15.8% of total)
ival-exp: 9.0ms (14.2% of total)
ival-add: 8.0ms (12.6% of total)
ival-log: 4.0ms (6.3% of total)
ival-pow: 4.0ms (6.3% of total)
ival-sqrt: 2.0ms (3.2% of total)
const: 1.0ms (1.6% of total)
backward-pass: 0.0ms (0% of total)

series181.0ms (1.5%)

Counts
20 → 592
Calls
Call 1
Inputs
#<alt (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (*.f32 cosTheta_i (/.f32 cosTheta_O v)))>
#<alt (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))) (/.f32 #s(literal 1 binary32) v))))>
#<alt (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (/.f32 #s(literal 1 binary32) v))>
#<alt (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v)>
#<alt (exp.f32 #s(literal 6931/10000 binary32))>
#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v))>
#<alt (exp.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v))>
#<alt (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v)>
#<alt (*.f32 cosTheta_O cosTheta_i)>
#<alt (*.f32 sinTheta_O sinTheta_i)>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) v)>
#<alt (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))>
#<alt (-.f32 (+.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 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))>
#<alt (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)>
#<alt (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))>
#<alt (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))>
#<alt (sqrt.f32 (pow.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) #s(literal 2 binary32)))>
#<alt (log.f32 (/.f32 #s(literal 1/2 binary32) v))>
#<alt (*.f32 (/.f32 #s(literal 1/2 binary32) v) (sqrt.f32 (pow.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) #s(literal 2 binary32))))>
Outputs
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v (+.f32 (log.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 v))))) v)>
#<alt (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v (+.f32 (log.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 v))))) v)>
#<alt (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v (+.f32 (log.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 v))))) v)>
#<alt (+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) v)))>
#<alt (+.f32 (log.f32 #s(literal 1/2 binary32)) (+.f32 (log.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))>
#<alt (+.f32 (log.f32 #s(literal 1/2 binary32)) (+.f32 (log.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))>
#<alt (+.f32 (log.f32 #s(literal 1/2 binary32)) (+.f32 (log.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))>
#<alt (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v)))>
#<alt (+.f32 (log.f32 #s(literal -1/2 binary32)) (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))>
#<alt (+.f32 (log.f32 #s(literal -1/2 binary32)) (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))>
#<alt (+.f32 (log.f32 #s(literal -1/2 binary32)) (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))>
#<alt (log.f32 (/.f32 #s(literal 1/2 binary32) v))>
#<alt (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))>
#<alt (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))>
#<alt (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (*.f32 cosTheta_i (+.f32 (/.f32 cosTheta_O v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i)))>
#<alt (*.f32 cosTheta_i (+.f32 (/.f32 cosTheta_O v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i)))>
#<alt (*.f32 cosTheta_i (+.f32 (/.f32 cosTheta_O v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i)))>
#<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 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 cosTheta_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 cosTheta_O v)) (*.f32 #s(literal -1 binary32) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 cosTheta_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 cosTheta_O v)) (*.f32 #s(literal -1 binary32) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i)))))>
#<alt (log.f32 (/.f32 #s(literal 1/2 binary32) v))>
#<alt (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))>
#<alt (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))>
#<alt (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (*.f32 cosTheta_O (+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)))>
#<alt (*.f32 cosTheta_O (+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)))>
#<alt (*.f32 cosTheta_O (+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)))>
#<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 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 cosTheta_O (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 cosTheta_i v)) (*.f32 #s(literal -1 binary32) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 cosTheta_O (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 cosTheta_i v)) (*.f32 #s(literal -1 binary32) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)))))>
#<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 (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 (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 (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 (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 (*.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))>
#<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 1/2 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)))>
#<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 1/6 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))))>
#<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)))))>
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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 #s(literal 1 binary32) v))) v))>
#<alt (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))))) (pow.f32 v #s(literal 2 binary32)))) (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) v)))>
#<alt (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) v)) (*.f32 sinTheta_O (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_i (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)))) (pow.f32 v #s(literal 2 binary32)))) (*.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 sinTheta_O (*.f32 (pow.f32 sinTheta_i #s(literal 2 binary32)) (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))))) (pow.f32 v #s(literal 3 binary32)))))))>
#<alt (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) v)) (*.f32 sinTheta_O (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_i (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)))) (pow.f32 v #s(literal 2 binary32)))) (*.f32 sinTheta_O (+.f32 (*.f32 #s(literal -1/12 binary32) (/.f32 (*.f32 sinTheta_O (*.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))))) (pow.f32 v #s(literal 4 binary32)))) (*.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (pow.f32 sinTheta_i #s(literal 2 binary32)) (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)))) (pow.f32 v #s(literal 3 binary32)))))))))>
#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))>
#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))>
#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))>
#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))>
#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))>
#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))>
#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))>
#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))>
Calls

180 calls:

TimeVariablePointExpression
60.0ms
v
@-inf
(+ 6931/10000 (log (/ 1/2 v)))
28.0ms
v
@0
(+ 6931/10000 (log (/ 1/2 v)))
8.0ms
v
@-inf
(exp (+ (- (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v) (/ 1 v)) 6931/10000))
4.0ms
v
@inf
(+ 6931/10000 (log (/ 1/2 v)))
3.0ms
sinTheta_i
@0
(exp (/ (- (- (* cosTheta_O cosTheta_i) 1) (* sinTheta_O sinTheta_i)) v))

rewrite193.0ms (1.6%)

Algorithm
batch-egg-rewrite
Rules
423×log1p-expm1-u
423×expm1-log1p-u
417×add-exp-log
415×add-log-exp
415×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
051754
1973734
Stop Event
node limit
Counts
20 → 448
Calls
Call 1
Inputs
(+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (*.f32 cosTheta_i (/.f32 cosTheta_O 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))) (/.f32 #s(literal 1 binary32) v))))
(-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (/.f32 #s(literal 1 binary32) v))
(/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v)
(exp.f32 #s(literal 6931/10000 binary32))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v))
(exp.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v))
(/.f32 (-.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v)
(*.f32 cosTheta_O cosTheta_i)
(*.f32 sinTheta_O sinTheta_i)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(-.f32 (+.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 #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)
(exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))
(-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))
(sqrt.f32 (pow.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) #s(literal 2 binary32)))
(log.f32 (/.f32 #s(literal 1/2 binary32) v))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (sqrt.f32 (pow.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) #s(literal 2 binary32))))
Outputs
(-.f32 (exp.f32 (log1p.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))
(*.f32 (pow.f32 (cbrt.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) #s(literal 2 binary32)) (cbrt.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
(*.f32 (sqrt.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) (sqrt.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
(/.f32 (+.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32)) (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(literal 3 binary32))) (+.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(literal 2 binary32)) (*.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (*.f32 cosTheta_i (/.f32 cosTheta_O v))))))
(/.f32 (-.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 2 binary32)) (pow.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(literal 2 binary32))) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (*.f32 cosTheta_i (/.f32 cosTheta_O v))))
(pow.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) #s(literal 2 binary32))
(log.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 (/.f32 cosTheta_O v)) cosTheta_i)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))))
(cbrt.f32 (pow.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
(log1p.f32 (expm1.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
(exp.f32 (log.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
(exp.f32 (*.f32 (log.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) #s(literal 1 binary32)))
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
(fma.f32 (/.f32 cosTheta_O v) cosTheta_i (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
(fma.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (*.f32 cosTheta_i (/.f32 cosTheta_O v)))
(fma.f32 #s(literal 1 binary32) (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
(fma.f32 (pow.f32 (cbrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 2 binary32)) (cbrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (*.f32 cosTheta_i (/.f32 cosTheta_O v)))
(fma.f32 (pow.f32 (cbrt.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
(fma.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (sqrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (*.f32 cosTheta_i (/.f32 cosTheta_O v)))
(fma.f32 (sqrt.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (sqrt.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
(-.f32 (exp.f32 (log1p.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O 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_i (/.f32 cosTheta_O v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))))
(*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (neg.f32 (/.f32 #s(literal 1 binary32) v))))))
(*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (neg.f32 (/.f32 #s(literal 1 binary32) v))))) (exp.f32 #s(literal 6931/10000 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))) #s(literal 2 binary32)) (cbrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))))
(*.f32 (sqrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))) (sqrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))))
(/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))) (exp.f32 (/.f32 #s(literal 1 binary32) v)))
(pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O 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 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))) #s(literal 2 binary32))
(pow.f32 (exp.f32 #s(literal 1 binary32)) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O 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_i (/.f32 cosTheta_O v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))))
(pow.f32 (exp.f32 (sqrt.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O 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_i (/.f32 cosTheta_O v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))))
(log.f32 (exp.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O 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 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))))))
(cbrt.f32 (pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))))
(log1p.f32 (expm1.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (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)) (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (neg.f32 (/.f32 #s(literal 1 binary32) v))))
(+.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (neg.f32 (/.f32 #s(literal 1 binary32) v)))
(+.f32 (-.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)) (fma.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) v))) (sqrt.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1 binary32) v)))
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(pow.f32 (sqrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)))) #s(literal 2 binary32))
(pow.f32 (exp.f32 #s(literal 1 binary32)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v))) #s(literal 2 binary32))) (cbrt.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v))))
(pow.f32 (exp.f32 (sqrt.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)))) (sqrt.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v))))
(log.f32 (exp.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v))))))
(cbrt.f32 (pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)))))
(log1p.f32 (expm1.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)))
(exp.f32 (*.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)) #s(literal 2 binary32)) #s(literal 1/2 binary32)))
(exp.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)) #s(literal 1 binary32)))
(+.f32 (log.f32 #s(literal 1/2 binary32)) (neg.f32 (log.f32 v)))
(+.f32 #s(literal 0 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 2 binary32))) (log.f32 (cbrt.f32 (/.f32 #s(literal 1/2 binary32) v))))
(+.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1/2 binary32) v))) (log.f32 (sqrt.f32 (/.f32 #s(literal 1/2 binary32) v))))
(-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 v #s(literal 1/2 binary32))))
(-.f32 (exp.f32 (log1p.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) #s(literal 1 binary32))
(-.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (neg.f32 v)))
(*.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
(*.f32 (pow.f32 (cbrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 2 binary32)) (cbrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))))
(*.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (sqrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))))
(pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 3 binary32))
(pow.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 2 binary32))
(pow.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(neg.f32 (log.f32 (/.f32 v #s(literal 1/2 binary32))))
(cbrt.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))))
(log1p.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) v) #s(literal 1 binary32)))
(exp.f32 (log.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))))
(exp.f32 (*.f32 (log.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)))))) #s(literal 1 binary32))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)))) v)
(pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v))))) #s(literal 2 binary32))
(log.f32 (pow.f32 (exp.f32 (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)))))))
(cbrt.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)))) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 #s(literal 1/2 binary32) v) #s(literal 3 binary32)) (pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v))) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v))) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1/2 binary32) v) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v))))))
(log1p.f32 (expm1.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.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 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.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 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v))) #s(literal 1 binary32)))

simplify640.0ms (5.3%)

Algorithm
egg-herbie
Rules
934×times-frac
908×distribute-lft-in
900×distribute-rgt-in
816×*-commutative
594×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0167765577
1458660842
Stop Event
node limit
Counts
1040 → 906
Calls
Call 1
Inputs
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v (+.f32 (log.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 v))))) v)
(/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v (+.f32 (log.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 v))))) v)
(/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v (+.f32 (log.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 v))))) v)
(+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) v)))
(+.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 (log.f32 #s(literal 1/2 binary32)) (+.f32 (log.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))
(+.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 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v)))
(+.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 (log.f32 #s(literal -1/2 binary32)) (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))
(+.f32 (log.f32 #s(literal -1/2 binary32)) (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))
(log.f32 (/.f32 #s(literal 1/2 binary32) v))
(+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (+.f32 (/.f32 cosTheta_O v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i)))
(*.f32 cosTheta_i (+.f32 (/.f32 cosTheta_O v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i)))
(*.f32 cosTheta_i (+.f32 (/.f32 cosTheta_O v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i)))
(/.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 (log.f32 (/.f32 #s(literal 1/2 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 (log.f32 (/.f32 #s(literal 1/2 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 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i)))))
(log.f32 (/.f32 #s(literal 1/2 binary32) v))
(+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)))
(*.f32 cosTheta_O (+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)))
(*.f32 cosTheta_O (+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)))
(/.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 (log.f32 (/.f32 #s(literal 1/2 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 (log.f32 (/.f32 #s(literal 1/2 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 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)))))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 #s(literal 1 binary32) v)))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (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)))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 #s(literal 1 binary32) v)))
(exp.f32 (+.f32 #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)))
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(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v))
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(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #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) #s(literal 1 binary32)) v))
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(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v))
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(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v))
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(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v))
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(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v))
#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 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))))))
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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))
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(/.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)
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(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)
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(*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
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(*.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))
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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_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))))
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(+.f32 (fma.f32 #s(literal 1 binary32) (*.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 #s(literal 1 binary32) (*.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 (pow.f32 (cbrt.f32 (*.f32 cosTheta_i cosTheta_O)) #s(literal 2 binary32)) (cbrt.f32 (*.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 (pow.f32 (cbrt.f32 (*.f32 cosTheta_i cosTheta_O)) #s(literal 2 binary32)) (cbrt.f32 (*.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 (sqrt.f32 (*.f32 cosTheta_i cosTheta_O)) (sqrt.f32 (*.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 (sqrt.f32 (*.f32 cosTheta_i cosTheta_O)) (sqrt.f32 (*.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 #s(literal 1 binary32) (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)))
(*.f32 (pow.f32 (cbrt.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i))) #s(literal 2 binary32)) (cbrt.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i))))
(*.f32 (sqrt.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i))) (sqrt.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i))))
(/.f32 (-.f32 (pow.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 3 binary32)) (pow.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 2 binary32)) (+.f32 (pow.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 2 binary32)) (*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)))))
(/.f32 (-.f32 (pow.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 2 binary32)) (pow.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 2 binary32))) (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O sinTheta_i)))
(pow.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i))) #s(literal 2 binary32))
(log.f32 (exp.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)))))
(cbrt.f32 (pow.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i))))
(log1p.f32 (expm1.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i))))
(exp.f32 (log.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i))))
(exp.f32 (*.f32 (log.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i))) #s(literal 1 binary32)))
(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 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 #s(literal 1 binary32) (*.f32 cosTheta_i cosTheta_O) (neg.f32 (*.f32 sinTheta_O sinTheta_i)))
(fma.f32 #s(literal 1 binary32) (*.f32 cosTheta_i cosTheta_O) (*.f32 (neg.f32 sinTheta_i) sinTheta_O))
(fma.f32 #s(literal 1 binary32) (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.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_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i))) #s(literal 2 binary32)) (cbrt.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.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_i cosTheta_O)) #s(literal 2 binary32)) (cbrt.f32 (*.f32 cosTheta_i cosTheta_O)) (neg.f32 (*.f32 sinTheta_O sinTheta_i)))
(fma.f32 (pow.f32 (cbrt.f32 (*.f32 cosTheta_i cosTheta_O)) #s(literal 2 binary32)) (cbrt.f32 (*.f32 cosTheta_i cosTheta_O)) (*.f32 (neg.f32 sinTheta_i) sinTheta_O))
(fma.f32 (sqrt.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i))) (sqrt.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i))) (fma.f32 (neg.f32 sinTheta_O) sinTheta_i (*.f32 sinTheta_O sinTheta_i)))
(fma.f32 (sqrt.f32 (*.f32 cosTheta_i cosTheta_O)) (sqrt.f32 (*.f32 cosTheta_i cosTheta_O)) (neg.f32 (*.f32 sinTheta_O sinTheta_i)))
(fma.f32 (sqrt.f32 (*.f32 cosTheta_i cosTheta_O)) (sqrt.f32 (*.f32 cosTheta_i cosTheta_O)) (*.f32 (neg.f32 sinTheta_i) sinTheta_O))
(-.f32 (exp.f32 (log1p.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v))))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v))))
(*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)))
(*.f32 (exp.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)) (exp.f32 #s(literal 6931/10000 binary32)))
(*.f32 (cbrt.f32 (pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v))) #s(literal 2 binary32))) (cbrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)))))
(*.f32 (sqrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)))) (sqrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)))))
(*.f32 (pow.f32 #s(literal 1 binary32) #s(literal 1/2 binary32)) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v))))
(*.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v))) #s(literal 4 binary32))) #s(literal 1/2 binary32)) (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v))) #s(literal 2 binary32))) #s(literal 1/2 binary32)))
(/.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) v)) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
(pow.f32 (pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v))) #s(literal 2 binary32)) #s(literal 1/2 binary32))
(pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)))) #s(literal 2 binary32))
(pow.f32 (exp.f32 #s(literal 1 binary32)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v))) #s(literal 2 binary32))) (cbrt.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v))))
(pow.f32 (exp.f32 (sqrt.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)))) (sqrt.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v))))
(log.f32 (exp.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v))))))
(cbrt.f32 (pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)))))
(log1p.f32 (expm1.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)))
(exp.f32 (*.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)) #s(literal 2 binary32)) #s(literal 1/2 binary32)))
(exp.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)) #s(literal 1 binary32)))
(+.f32 (log.f32 #s(literal 1/2 binary32)) (neg.f32 (log.f32 v)))
(+.f32 #s(literal 0 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 2 binary32))) (log.f32 (cbrt.f32 (/.f32 #s(literal 1/2 binary32) v))))
(+.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1/2 binary32) v))) (log.f32 (sqrt.f32 (/.f32 #s(literal 1/2 binary32) v))))
(-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 v #s(literal 1/2 binary32))))
(-.f32 (exp.f32 (log1p.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) #s(literal 1 binary32))
(-.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (neg.f32 v)))
(*.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
(*.f32 (pow.f32 (cbrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 2 binary32)) (cbrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))))
(*.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (sqrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))))
(pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 3 binary32))
(pow.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 2 binary32))
(pow.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(neg.f32 (log.f32 (/.f32 v #s(literal 1/2 binary32))))
(cbrt.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))))
(log1p.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) v) #s(literal 1 binary32)))
(exp.f32 (log.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))))
(exp.f32 (*.f32 (log.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)))))) #s(literal 1 binary32))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)))) v)
(pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v))))) #s(literal 2 binary32))
(log.f32 (pow.f32 (exp.f32 (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)))))))
(cbrt.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)))) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 #s(literal 1/2 binary32) v) #s(literal 3 binary32)) (pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v))) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v))) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1/2 binary32) v) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v))))))
(log1p.f32 (expm1.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.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 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.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 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v))) #s(literal 1 binary32)))
Outputs
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v (+.f32 (log.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal -1 binary32) (log.f32 v))))) v)
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(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i #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 (fma.f32 cosTheta_O cosTheta_i #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 (fma.f32 cosTheta_O cosTheta_i #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 (fma.f32 cosTheta_O cosTheta_i #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 (fma.f32 cosTheta_O cosTheta_i #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 (fma.f32 cosTheta_O cosTheta_i #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 (fma.f32 cosTheta_O cosTheta_i #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 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
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(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i #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 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v))
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(exp.f32 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i #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 (fma.f32 cosTheta_O cosTheta_i #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 (fma.f32 cosTheta_O cosTheta_i #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 (fma.f32 cosTheta_O cosTheta_i #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 (fma.f32 cosTheta_O cosTheta_i #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 (fma.f32 cosTheta_O cosTheta_i #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 (fma.f32 cosTheta_O cosTheta_i #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 (fma.f32 cosTheta_O cosTheta_i #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 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v))
#s(literal 1 binary32)
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(+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v))
(-.f32 (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) #s(literal 2 binary32)) (pow.f32 v #s(literal 2 binary32)))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
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#s(literal 1 binary32)
(-.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(+.f32 #s(literal 1 binary32) (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))))
(+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v))
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(log.f32 (/.f32 #s(literal 1/2 binary32) v))
(expm1.f32 (log1p.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))))
(log1p.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) v) #s(literal 1 binary32)))
(log1p.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) v) #s(literal -1 binary32)))
(exp.f32 (log.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))))
(log.f32 (/.f32 #s(literal 1/2 binary32) v))
(exp.f32 (*.f32 (log.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 1 binary32)))
(log.f32 (/.f32 #s(literal 1/2 binary32) v))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)))))) #s(literal 1 binary32))
(expm1.f32 (log1p.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v))))))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)))) v)
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) v))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v))))
(pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)))) #s(literal 1 binary32))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) v))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v))))
(pow.f32 (cbrt.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v))))) #s(literal 3 binary32))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) v))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v))))
(pow.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) v))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v))))
(pow.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v))))) #s(literal 2 binary32))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) v))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v))))
(log.f32 (pow.f32 (exp.f32 (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)))))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) v))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)))))))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) v))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v))))
(cbrt.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)))) #s(literal 3 binary32)))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) v))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v))))
(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 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v))) #s(literal 3 binary32))))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) v))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v))))
(cbrt.f32 (*.f32 (pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v))) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1/2 binary32) v) #s(literal 3 binary32))))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) v))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v))))
(expm1.f32 (log1p.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v))))))
(expm1.f32 (log1p.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v))))))
(log1p.f32 (expm1.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v))))))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) v))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i #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 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v))))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) v))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v))))
(exp.f32 (*.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v))) #s(literal 1 binary32)))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) v))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v))))

eval184.0ms (1.5%)

Compiler

Compiled 30183 to 5483 computations (81.8% saved)

prune186.0ms (1.5%)

Pruning

18 alts after pruning (16 fresh and 2 done)

PrunedKeptTotal
New1060111071
Fresh459
Picked325
Done000
Total1067181085
Accuracy
99.9%
Counts
1085 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.0%
(pow.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
99.7%
(pow.f32 (cbrt.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v))))) #s(literal 3 binary32))
99.7%
(pow.f32 (E.f32) (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
91.8%
(/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))) (exp.f32 (/.f32 #s(literal 1 binary32) v)))
28.9%
(*.f32 (pow.f32 (pow.f32 (/.f32 #s(literal 1/2 binary32) v) #s(literal 3 binary32)) #s(literal 1/3 binary32)) (sqrt.f32 (pow.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) #s(literal 2 binary32))))
99.7%
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 #s(literal 1 binary32)) (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))))
99.7%
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 (exp.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v))) (exp.f32 #s(literal 6931/10000 binary32))))
99.5%
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (sqrt.f32 (pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))) #s(literal 2 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))))
99.6%
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
99.6%
(*.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))
97.4%
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))
97.4%
(exp.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (neg.f32 v)))
13.5%
(exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))
99.7%
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
99.8%
(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))) (/.f32 #s(literal 1 binary32) v))))
99.7%
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal 1 binary32) v))))
6.5%
#s(literal 1 binary32)
Compiler

Compiled 684 to 534 computations (21.9% saved)

localize308.0ms (2.5%)

Algorithm
egg-herbie
Localize:

Found 32 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f32 sinTheta_O sinTheta_i)
cost-diff0
(*.f32 cosTheta_i cosTheta_O)
cost-diff0
(/.f32 #s(literal 1/2 binary32) v)
cost-diff3328
(pow.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
cost-diff0
(*.f32 cosTheta_i cosTheta_O)
cost-diff0
(/.f32 #s(literal 1/2 binary32) v)
cost-diff128
(*.f32 (exp.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v))) (exp.f32 #s(literal 6931/10000 binary32)))
cost-diff128
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 (exp.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v))) (exp.f32 #s(literal 6931/10000 binary32))))
cost-diff0
(+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))
cost-diff0
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
cost-diff0
(/.f32 #s(literal 1/2 binary32) v)
cost-diff0
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
cost-diff0
(+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
cost-diff0
(+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
cost-diff0
(E.f32)
cost-diff0
(pow.f32 (E.f32) (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
accuracy99.9%
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v))))
accuracy99.8%
(-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i))
accuracy99.8%
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)))
accuracy99.0%
(pow.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
accuracy99.9%
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 (exp.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v))) (exp.f32 #s(literal 6931/10000 binary32))))
accuracy99.8%
(-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))
accuracy99.8%
(exp.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)))
accuracy91.2%
(/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)
accuracy100.0%
(/.f32 #s(literal -1 binary32) v)
accuracy99.9%
(+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))
accuracy99.9%
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
accuracy99.8%
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
accuracy99.9%
(log.f32 (/.f32 #s(literal 1/2 binary32) v))
accuracy99.9%
(+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
accuracy99.9%
(+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
accuracy99.8%
(pow.f32 (E.f32) (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
Rules
1692×associate-*r/
1666×associate-*l/
888×times-frac
674×associate-+r+
522×associate-+l+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0521199
11191155
22791155
310931155
450181155
Stop Event
node limit
Calls
Call 1
Inputs
(pow.f32 (E.f32) (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(E.f32)
(+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
#s(literal 6931/10000 binary32)
(+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(log.f32 (/.f32 #s(literal 1/2 binary32) v))
(/.f32 #s(literal 1/2 binary32) v)
#s(literal 1/2 binary32)
v
(/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)
(fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))
cosTheta_O
cosTheta_i
#s(literal -1 binary32)
#s(literal 1 binary32)
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(/.f32 #s(literal 1/2 binary32) v)
#s(literal 1/2 binary32)
v
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))
#s(literal 6931/10000 binary32)
(/.f32 #s(literal -1 binary32) v)
#s(literal -1 binary32)
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 (exp.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v))) (exp.f32 #s(literal 6931/10000 binary32))))
(/.f32 #s(literal 1/2 binary32) v)
#s(literal 1/2 binary32)
v
(*.f32 (exp.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v))) (exp.f32 #s(literal 6931/10000 binary32)))
(exp.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)))
(-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v))
(/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)
(-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))
(*.f32 cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
(*.f32 sinTheta_i sinTheta_O)
sinTheta_i
sinTheta_O
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
(exp.f32 #s(literal 6931/10000 binary32))
#s(literal 6931/10000 binary32)
(pow.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)))) #s(literal 3 binary32))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v))))
(/.f32 #s(literal 1/2 binary32) v)
#s(literal 1/2 binary32)
v
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v))
#s(literal 6931/10000 binary32)
(/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)
(-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32))
(-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i))
(*.f32 cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
(*.f32 sinTheta_O sinTheta_i)
sinTheta_O
sinTheta_i
#s(literal 1 binary32)
#s(literal 3 binary32)
#s(literal 1/3 binary32)
Outputs
(pow.f32 (E.f32) (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(pow.f32 (E.f32) (+.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
(pow.f32 (E.f32) (+.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(E.f32)
(+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(+.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v) (+.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 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
#s(literal 6931/10000 binary32)
(+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(log.f32 (/.f32 #s(literal 1/2 binary32) v))
(/.f32 #s(literal 1/2 binary32) v)
#s(literal 1/2 binary32)
v
(/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)
(fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))
cosTheta_O
cosTheta_i
#s(literal -1 binary32)
#s(literal 1 binary32)
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) v))
(/.f32 #s(literal 1/2 binary32) v)
#s(literal 1/2 binary32)
v
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))
#s(literal 6931/10000 binary32)
(/.f32 #s(literal -1 binary32) v)
#s(literal -1 binary32)
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 (exp.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v))) (exp.f32 #s(literal 6931/10000 binary32))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v))))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v))) v))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (*.f32 sinTheta_i sinTheta_O)) v))) v))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (*.f32 sinTheta_i sinTheta_O)) v))))
(/.f32 #s(literal 1/2 binary32) v)
#s(literal 1/2 binary32)
v
(*.f32 (exp.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v))) (exp.f32 #s(literal 6931/10000 binary32)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (*.f32 sinTheta_i sinTheta_O)) v)))
(exp.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)))
(exp.f32 (/.f32 (+.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v))
(exp.f32 (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (*.f32 sinTheta_i sinTheta_O)) v))
(-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v))
(/.f32 (+.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v)
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)
(/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (*.f32 sinTheta_i sinTheta_O)) v)
(/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i sinTheta_O)) v)
(/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_i (neg.f32 sinTheta_O))) v)
(-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))
(-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i sinTheta_O))
(fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_i (neg.f32 sinTheta_O)))
(*.f32 cosTheta_i cosTheta_O)
(*.f32 cosTheta_O cosTheta_i)
cosTheta_i
cosTheta_O
(*.f32 sinTheta_i sinTheta_O)
sinTheta_i
sinTheta_O
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
(exp.f32 #s(literal 6931/10000 binary32))
#s(literal 6931/10000 binary32)
(pow.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v))))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v))) v))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (*.f32 sinTheta_i sinTheta_O)) v))) v))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (*.f32 sinTheta_i sinTheta_O)) v))))
(pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)))) #s(literal 3 binary32))
(pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v)))) #s(literal 3 binary32))
(pow.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v))) v)) #s(literal 3 binary32))
(*.f32 #s(literal 1/8 binary32) (pow.f32 (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (*.f32 sinTheta_i sinTheta_O)) v))) v) #s(literal 3 binary32)))
(pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (*.f32 sinTheta_i sinTheta_O)) v)))) #s(literal 3 binary32))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v))))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v))) v))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (*.f32 sinTheta_i sinTheta_O)) v))) v))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (*.f32 sinTheta_i sinTheta_O)) v))))
(/.f32 #s(literal 1/2 binary32) v)
#s(literal 1/2 binary32)
v
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (*.f32 sinTheta_i sinTheta_O)) v)))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (*.f32 sinTheta_i sinTheta_O)) v))
#s(literal 6931/10000 binary32)
(/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)
(/.f32 (+.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v)
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)
(/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (*.f32 sinTheta_i sinTheta_O)) v)
(-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32))
(+.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32))
(-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)))
(-.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (*.f32 sinTheta_i sinTheta_O))
(-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i))
(-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i sinTheta_O))
(fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_i (neg.f32 sinTheta_O)))
(*.f32 cosTheta_i cosTheta_O)
(*.f32 cosTheta_O cosTheta_i)
cosTheta_i
cosTheta_O
(*.f32 sinTheta_O sinTheta_i)
(*.f32 sinTheta_i sinTheta_O)
sinTheta_O
sinTheta_i
#s(literal 1 binary32)
#s(literal 3 binary32)
#s(literal 1/3 binary32)
Results
175.0ms256×0valid
Compiler

Compiled 337 to 43 computations (87.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 127.0ms
ival-sub: 44.0ms (34.7% of total)
ival-pow: 29.0ms (22.9% of total)
ival-div: 15.0ms (11.8% of total)
ival-mult: 13.0ms (10.2% of total)
ival-exp: 7.0ms (5.5% of total)
ival-add: 7.0ms (5.5% of total)
<compiled-spec>: 5.0ms (3.9% of total)
ival-log: 4.0ms (3.2% of total)
ival-e: 2.0ms (1.6% of total)
const: 1.0ms (0.8% of total)
backward-pass: 0.0ms (0% of total)

series235.0ms (1.9%)

Counts
16 → 576
Calls
Call 1
Inputs
#<alt (pow.f32 (E.f32) (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))>
#<alt (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))>
#<alt (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))>
#<alt (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))>
#<alt (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))>
#<alt (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))>
#<alt (/.f32 #s(literal -1 binary32) v)>
#<alt (exp.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)))>
#<alt (*.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 (exp.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v))) (exp.f32 #s(literal 6931/10000 binary32))))>
#<alt (pow.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))>
#<alt (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)))>
#<alt (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i))>
#<alt (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v))))>
#<alt (E.f32)>
#<alt (*.f32 (exp.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v))) (exp.f32 #s(literal 6931/10000 binary32)))>
#<alt (*.f32 cosTheta_i cosTheta_O)>
Outputs
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#<alt (exp.f32 #s(literal 6931/10000 binary32))>
#<alt (+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))))) v)))>
#<alt (+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)))) #s(literal 2 binary32))) v)) (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)))))) v)))>
#<alt (+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)))) #s(literal 3 binary32))) v)) (*.f32 #s(literal 1/2 binary32) (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)))) #s(literal 2 binary32))))) v)) (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)))))) v)))>
#<alt (*.f32 cosTheta_O cosTheta_i)>
#<alt (*.f32 cosTheta_O cosTheta_i)>
#<alt (*.f32 cosTheta_O cosTheta_i)>
#<alt (*.f32 cosTheta_O cosTheta_i)>
#<alt (*.f32 cosTheta_O cosTheta_i)>
#<alt (*.f32 cosTheta_O cosTheta_i)>
#<alt (*.f32 cosTheta_O cosTheta_i)>
#<alt (*.f32 cosTheta_O cosTheta_i)>
#<alt (*.f32 cosTheta_O cosTheta_i)>
#<alt (*.f32 cosTheta_O cosTheta_i)>
#<alt (*.f32 cosTheta_O cosTheta_i)>
#<alt (*.f32 cosTheta_O cosTheta_i)>
#<alt (*.f32 cosTheta_O cosTheta_i)>
#<alt (*.f32 cosTheta_O cosTheta_i)>
#<alt (*.f32 cosTheta_O cosTheta_i)>
#<alt (*.f32 cosTheta_O cosTheta_i)>
#<alt (*.f32 cosTheta_O cosTheta_i)>
#<alt (*.f32 cosTheta_O cosTheta_i)>
#<alt (*.f32 cosTheta_O cosTheta_i)>
#<alt (*.f32 cosTheta_O cosTheta_i)>
#<alt (*.f32 cosTheta_O cosTheta_i)>
#<alt (*.f32 cosTheta_O cosTheta_i)>
#<alt (*.f32 cosTheta_O cosTheta_i)>
#<alt (*.f32 cosTheta_O cosTheta_i)>
Calls

147 calls:

TimeVariablePointExpression
69.0ms
v
@0
(/ -1 v)
33.0ms
sinTheta_O
@-inf
(* (/ 1/2 v) (exp (+ 6931/10000 (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_O sinTheta_i)) 1) v))))
30.0ms
cosTheta_i
@inf
(pow (pow (* (/ 1/2 v) (exp (+ 6931/10000 (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_O sinTheta_i)) 1) v)))) 3) 1/3)
3.0ms
cosTheta_i
@inf
(+ 6931/10000 (+ (log (/ 1/2 v)) (/ (+ (* cosTheta_O cosTheta_i) -1) v)))
2.0ms
v
@0
(pow (pow (* (/ 1/2 v) (exp (+ 6931/10000 (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_O sinTheta_i)) 1) v)))) 3) 1/3)

rewrite165.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
357×log1p-expm1-u
357×expm1-log1p-u
348×add-exp-log
345×add-log-exp
342×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
052652
1901624
Stop Event
node limit
Counts
16 → 314
Calls
Call 1
Inputs
(pow.f32 (E.f32) (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))
(/.f32 #s(literal -1 binary32) v)
(exp.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 (exp.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v))) (exp.f32 #s(literal 6931/10000 binary32))))
(pow.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)))
(-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v))))
(E.f32)
(*.f32 (exp.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v))) (exp.f32 #s(literal 6931/10000 binary32)))
(*.f32 cosTheta_i cosTheta_O)
Outputs
(-.f32 (exp.f32 (log1p.f32 (exp.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (exp.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) (exp.f32 #s(literal 6931/10000 binary32)))
(*.f32 (cbrt.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (+.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))) (cbrt.f32 (exp.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))))
(*.f32 (sqrt.f32 (exp.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))) (sqrt.f32 (exp.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))))
(*.f32 (pow.f32 (E.f32) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(*.f32 (pow.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) (exp.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(*.f32 (pow.f32 (cbrt.f32 (exp.f32 #s(literal 2 binary32))) (+.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) (pow.f32 (cbrt.f32 (E.f32)) (+.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(*.f32 (pow.f32 (sqrt.f32 (E.f32)) (+.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) (pow.f32 (sqrt.f32 (E.f32)) (+.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(log.f32 (pow.f32 (exp.f32 (exp.f32 #s(literal 6931/10000 binary32))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (exp.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))))
(cbrt.f32 (pow.f32 (exp.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (exp.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))))
(log1p.f32 (expm1.f32 (exp.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))))
(exp.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(-.f32 (exp.f32 (log1p.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(*.f32 (pow.f32 (cbrt.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) #s(literal 2 binary32)) (cbrt.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(*.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) (sqrt.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(/.f32 (-.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 2 binary32)) (pow.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v) #s(literal 2 binary32))) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(/.f32 (+.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32)) (pow.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v) #s(literal 3 binary32))) (+.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 2 binary32)) (-.f32 (pow.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v) #s(literal 2 binary32)) (*.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))))
(pow.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) #s(literal 2 binary32))
(log.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))))
(cbrt.f32 (pow.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(log1p.f32 (expm1.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(exp.f32 (log.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(exp.f32 (*.f32 (log.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) #s(literal 1 binary32)))
(fma.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
(fma.f32 #s(literal 1 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(fma.f32 #s(literal 1 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
(fma.f32 (pow.f32 (cbrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 2 binary32)) (cbrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(fma.f32 (pow.f32 (cbrt.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) #s(literal 2 binary32)) (cbrt.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
(fma.f32 (sqrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (sqrt.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (sqrt.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
(-.f32 (exp.f32 (log1p.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))) #s(literal 1 binary32))
(*.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(*.f32 (cbrt.f32 (pow.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) #s(literal 2 binary32))) (cbrt.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(*.f32 (sqrt.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) (sqrt.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(/.f32 (-.f32 #s(literal 48038761/100000000 binary32) (pow.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) #s(literal 2 binary32))) (-.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #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 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) #s(literal 3 binary32))) (+.f32 #s(literal 48038761/100000000 binary32) (-.f32 (pow.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) #s(literal 2 binary32)) (*.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))))
(pow.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) #s(literal 2 binary32))
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(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))))
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(fma.f32 cosTheta_i cosTheta_O (*.f32 (neg.f32 sinTheta_O) sinTheta_i))
(fma.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i) (neg.f32 (*.f32 sinTheta_i sinTheta_O)))
(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 cosTheta_O cosTheta_i) (*.f32 (neg.f32 sinTheta_O) sinTheta_i))
(fma.f32 #s(literal 1 binary32) (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i sinTheta_O)) (fma.f32 (neg.f32 sinTheta_O) sinTheta_i (*.f32 sinTheta_i sinTheta_O)))
(fma.f32 #s(literal 1 binary32) (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i sinTheta_O)) (fma.f32 (neg.f32 sinTheta_i) sinTheta_O (*.f32 sinTheta_i sinTheta_O)))
(fma.f32 (cbrt.f32 (pow.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i sinTheta_O)) #s(literal 2 binary32))) (cbrt.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i sinTheta_O))) (fma.f32 (neg.f32 sinTheta_O) sinTheta_i (*.f32 sinTheta_i sinTheta_O)))
(fma.f32 (cbrt.f32 (pow.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i sinTheta_O)) #s(literal 2 binary32))) (cbrt.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i sinTheta_O))) (fma.f32 (neg.f32 sinTheta_i) sinTheta_O (*.f32 sinTheta_i sinTheta_O)))
(fma.f32 (cbrt.f32 (pow.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 2 binary32))) (cbrt.f32 (*.f32 cosTheta_O cosTheta_i)) (neg.f32 (*.f32 sinTheta_i sinTheta_O)))
(fma.f32 (cbrt.f32 (pow.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 2 binary32))) (cbrt.f32 (*.f32 cosTheta_O cosTheta_i)) (*.f32 (neg.f32 sinTheta_i) sinTheta_O))
(fma.f32 (cbrt.f32 (pow.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 2 binary32))) (cbrt.f32 (*.f32 cosTheta_O cosTheta_i)) (*.f32 (neg.f32 sinTheta_O) sinTheta_i))
(fma.f32 (sqrt.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i sinTheta_O))) (sqrt.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i sinTheta_O))) (fma.f32 (neg.f32 sinTheta_O) sinTheta_i (*.f32 sinTheta_i sinTheta_O)))
(fma.f32 (sqrt.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i sinTheta_O))) (sqrt.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i sinTheta_O))) (fma.f32 (neg.f32 sinTheta_i) sinTheta_O (*.f32 sinTheta_i sinTheta_O)))
(fma.f32 (sqrt.f32 (*.f32 cosTheta_O cosTheta_i)) (sqrt.f32 (*.f32 cosTheta_O cosTheta_i)) (neg.f32 (*.f32 sinTheta_i sinTheta_O)))
(fma.f32 (sqrt.f32 (*.f32 cosTheta_O cosTheta_i)) (sqrt.f32 (*.f32 cosTheta_O cosTheta_i)) (*.f32 (neg.f32 sinTheta_i) sinTheta_O))
(fma.f32 (sqrt.f32 (*.f32 cosTheta_O cosTheta_i)) (sqrt.f32 (*.f32 cosTheta_O cosTheta_i)) (*.f32 (neg.f32 sinTheta_O) sinTheta_i))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)))))) #s(literal 1 binary32))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)))) v)
(pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)))) #s(literal 1 binary32))
(pow.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (cbrt.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)))) #s(literal 6 binary32)) #s(literal 1/6 binary32))
(pow.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v))))) #s(literal 2 binary32))
(log.f32 (pow.f32 (exp.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)))) (/.f32 #s(literal 1/2 binary32) v)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)))))))
(cbrt.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v))))))
(log1p.f32 (expm1.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_i sinTheta_O #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 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_i sinTheta_O #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 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (E.f32))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (E.f32))
(*.f32 (cbrt.f32 (exp.f32 #s(literal 2 binary32))) (cbrt.f32 (E.f32)))
(*.f32 (sqrt.f32 (E.f32)) (sqrt.f32 (E.f32)))
(pow.f32 (E.f32) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (E.f32)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (E.f32) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (E.f32)) #s(literal 2 binary32))
(log.f32 (exp.f32 (E.f32)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (E.f32))))
(cbrt.f32 (pow.f32 (E.f32) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (E.f32)))
(log1p.f32 (expm1.f32 (E.f32)))
(exp.f32 #s(literal 1 binary32))
(-.f32 (exp.f32 (log1p.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v))))) #s(literal 1 binary32))
(pow.f32 (E.f32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)))
(pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v))) #s(literal 1 binary32))
(pow.f32 (exp.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)) #s(literal 3 binary32))) #s(literal 1/3 binary32))
(pow.f32 (cbrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)))) #s(literal 3 binary32))
(pow.f32 (sqrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)))) #s(literal 2 binary32))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v))) #s(literal 2 binary32))) (cbrt.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v))))
(pow.f32 (exp.f32 (sqrt.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)))) (sqrt.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v))))
(log.f32 (exp.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v))))))
(cbrt.f32 (exp.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)))))
(log1p.f32 (expm1.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)))
(exp.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 cosTheta_O cosTheta_i))) #s(literal 1 binary32))
(pow.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 cosTheta_O cosTheta_i)) #s(literal 3 binary32))
(pow.f32 (sqrt.f32 (*.f32 cosTheta_O cosTheta_i)) #s(literal 2 binary32))
(pow.f32 (pow.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(log.f32 (pow.f32 (exp.f32 cosTheta_O) cosTheta_i))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 cosTheta_O cosTheta_i))))
(cbrt.f32 (pow.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (*.f32 cosTheta_O cosTheta_i)))
(log1p.f32 (expm1.f32 (*.f32 cosTheta_O cosTheta_i)))
(exp.f32 (log.f32 (*.f32 cosTheta_O cosTheta_i)))
(exp.f32 (*.f32 (log.f32 (*.f32 cosTheta_O cosTheta_i)) #s(literal 1 binary32)))

simplify705.0ms (5.8%)

Algorithm
egg-herbie
Rules
1704×fma-define
912×*-commutative
744×times-frac
740×distribute-rgt-in
738×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0149362999
1440358705
Stop Event
node limit
Counts
890 → 731
Calls
Call 1
Inputs
(exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 #s(literal 1 binary32) v))))
(exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 #s(literal 1 binary32) v))))
(exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 #s(literal 1 binary32) v))))
(exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 #s(literal 1 binary32) v))))
(exp.f32 (*.f32 (log.f32 (E.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 (log.f32 (E.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 (log.f32 (E.f32)) (+.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 (E.f32)) (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)))) v))
(+.f32 (exp.f32 (*.f32 (log.f32 (E.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 (log.f32 (E.f32)) (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) v)))))) (*.f32 (pow.f32 (log.f32 (E.f32)) #s(literal 2 binary32)) (pow.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 2 binary32)))) (pow.f32 v #s(literal 2 binary32)))) (/.f32 (*.f32 (exp.f32 (*.f32 (log.f32 (E.f32)) (+.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 (E.f32)) (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)))) v)))
(+.f32 (exp.f32 (*.f32 (log.f32 (E.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 (log.f32 (E.f32)) (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) v)))))) (*.f32 (pow.f32 (log.f32 (E.f32)) #s(literal 3 binary32)) (pow.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 3 binary32)))) (pow.f32 v #s(literal 3 binary32)))) (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (exp.f32 (*.f32 (log.f32 (E.f32)) (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) v)))))) (*.f32 (pow.f32 (log.f32 (E.f32)) #s(literal 2 binary32)) (pow.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 2 binary32)))) (pow.f32 v #s(literal 2 binary32)))) (/.f32 (*.f32 (exp.f32 (*.f32 (log.f32 (E.f32)) (+.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 (E.f32)) (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)))) v))))
(exp.f32 (*.f32 (log.f32 (E.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 (log.f32 (E.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 (log.f32 (E.f32)) (+.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 (E.f32)) (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)))) v))
(+.f32 (exp.f32 (*.f32 (log.f32 (E.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 (exp.f32 (*.f32 (log.f32 (E.f32)) (+.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 (E.f32)) (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (exp.f32 (*.f32 (log.f32 (E.f32)) (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v)))))) (*.f32 (pow.f32 (log.f32 (E.f32)) #s(literal 2 binary32)) (pow.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 2 binary32)))) v))) v)))
(+.f32 (exp.f32 (*.f32 (log.f32 (E.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 (exp.f32 (*.f32 (log.f32 (E.f32)) (+.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 (E.f32)) (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32))))) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 (exp.f32 (*.f32 (log.f32 (E.f32)) (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v)))))) (*.f32 (pow.f32 (log.f32 (E.f32)) #s(literal 3 binary32)) (pow.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 3 binary32)))) v)) (*.f32 #s(literal 1/2 binary32) (*.f32 (exp.f32 (*.f32 (log.f32 (E.f32)) (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v)))))) (*.f32 (pow.f32 (log.f32 (E.f32)) #s(literal 2 binary32)) (pow.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 2 binary32)))))) v))) v)))
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#s(literal 1 binary32)
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#s(literal 1 binary32)
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(+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))))) (pow.f32 v #s(literal 2 binary32)))) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) v)))
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(fma.f32 cosTheta_i cosTheta_O (*.f32 (neg.f32 sinTheta_O) sinTheta_i))
(fma.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i) (neg.f32 (*.f32 sinTheta_i sinTheta_O)))
(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 cosTheta_O cosTheta_i) (*.f32 (neg.f32 sinTheta_O) sinTheta_i))
(fma.f32 #s(literal 1 binary32) (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i sinTheta_O)) (fma.f32 (neg.f32 sinTheta_O) sinTheta_i (*.f32 sinTheta_i sinTheta_O)))
(fma.f32 #s(literal 1 binary32) (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i sinTheta_O)) (fma.f32 (neg.f32 sinTheta_i) sinTheta_O (*.f32 sinTheta_i sinTheta_O)))
(fma.f32 (cbrt.f32 (pow.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i sinTheta_O)) #s(literal 2 binary32))) (cbrt.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i sinTheta_O))) (fma.f32 (neg.f32 sinTheta_O) sinTheta_i (*.f32 sinTheta_i sinTheta_O)))
(fma.f32 (cbrt.f32 (pow.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i sinTheta_O)) #s(literal 2 binary32))) (cbrt.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i sinTheta_O))) (fma.f32 (neg.f32 sinTheta_i) sinTheta_O (*.f32 sinTheta_i sinTheta_O)))
(fma.f32 (cbrt.f32 (pow.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 2 binary32))) (cbrt.f32 (*.f32 cosTheta_O cosTheta_i)) (neg.f32 (*.f32 sinTheta_i sinTheta_O)))
(fma.f32 (cbrt.f32 (pow.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 2 binary32))) (cbrt.f32 (*.f32 cosTheta_O cosTheta_i)) (*.f32 (neg.f32 sinTheta_i) sinTheta_O))
(fma.f32 (cbrt.f32 (pow.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 2 binary32))) (cbrt.f32 (*.f32 cosTheta_O cosTheta_i)) (*.f32 (neg.f32 sinTheta_O) sinTheta_i))
(fma.f32 (sqrt.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i sinTheta_O))) (sqrt.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i sinTheta_O))) (fma.f32 (neg.f32 sinTheta_O) sinTheta_i (*.f32 sinTheta_i sinTheta_O)))
(fma.f32 (sqrt.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i sinTheta_O))) (sqrt.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i sinTheta_O))) (fma.f32 (neg.f32 sinTheta_i) sinTheta_O (*.f32 sinTheta_i sinTheta_O)))
(fma.f32 (sqrt.f32 (*.f32 cosTheta_O cosTheta_i)) (sqrt.f32 (*.f32 cosTheta_O cosTheta_i)) (neg.f32 (*.f32 sinTheta_i sinTheta_O)))
(fma.f32 (sqrt.f32 (*.f32 cosTheta_O cosTheta_i)) (sqrt.f32 (*.f32 cosTheta_O cosTheta_i)) (*.f32 (neg.f32 sinTheta_i) sinTheta_O))
(fma.f32 (sqrt.f32 (*.f32 cosTheta_O cosTheta_i)) (sqrt.f32 (*.f32 cosTheta_O cosTheta_i)) (*.f32 (neg.f32 sinTheta_O) sinTheta_i))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)))))) #s(literal 1 binary32))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)))) v)
(pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)))) #s(literal 1 binary32))
(pow.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (cbrt.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)))) #s(literal 6 binary32)) #s(literal 1/6 binary32))
(pow.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v))))) #s(literal 2 binary32))
(log.f32 (pow.f32 (exp.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)))) (/.f32 #s(literal 1/2 binary32) v)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)))))))
(cbrt.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v))))))
(log1p.f32 (expm1.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_i sinTheta_O #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 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_i sinTheta_O #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 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (E.f32))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (E.f32))
(*.f32 (cbrt.f32 (exp.f32 #s(literal 2 binary32))) (cbrt.f32 (E.f32)))
(*.f32 (sqrt.f32 (E.f32)) (sqrt.f32 (E.f32)))
(pow.f32 (E.f32) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (E.f32)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (E.f32) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (E.f32)) #s(literal 2 binary32))
(log.f32 (exp.f32 (E.f32)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (E.f32))))
(cbrt.f32 (pow.f32 (E.f32) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (E.f32)))
(log1p.f32 (expm1.f32 (E.f32)))
(exp.f32 #s(literal 1 binary32))
(-.f32 (exp.f32 (log1p.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v))))) #s(literal 1 binary32))
(pow.f32 (E.f32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)))
(pow.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v))) #s(literal 1 binary32))
(pow.f32 (exp.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)) #s(literal 3 binary32))) #s(literal 1/3 binary32))
(pow.f32 (cbrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)))) #s(literal 3 binary32))
(pow.f32 (sqrt.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)))) #s(literal 2 binary32))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v))) #s(literal 2 binary32))) (cbrt.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v))))
(pow.f32 (exp.f32 (sqrt.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)))) (sqrt.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v))))
(log.f32 (exp.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v))))))
(cbrt.f32 (exp.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)))))
(log1p.f32 (expm1.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)))
(exp.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 cosTheta_O cosTheta_i))) #s(literal 1 binary32))
(pow.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 cosTheta_O cosTheta_i)) #s(literal 3 binary32))
(pow.f32 (sqrt.f32 (*.f32 cosTheta_O cosTheta_i)) #s(literal 2 binary32))
(pow.f32 (pow.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(log.f32 (pow.f32 (exp.f32 cosTheta_O) cosTheta_i))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 cosTheta_O cosTheta_i))))
(cbrt.f32 (pow.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (*.f32 cosTheta_O cosTheta_i)))
(log1p.f32 (expm1.f32 (*.f32 cosTheta_O cosTheta_i)))
(exp.f32 (log.f32 (*.f32 cosTheta_O cosTheta_i)))
(exp.f32 (*.f32 (log.f32 (*.f32 cosTheta_O cosTheta_i)) #s(literal 1 binary32)))
Outputs
(exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 #s(literal 1 binary32) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))))
(exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 #s(literal 1 binary32) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))))
(exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 #s(literal 1 binary32) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))))
(exp.f32 (*.f32 (log.f32 (E.f32)) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 #s(literal 1 binary32) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))))
(exp.f32 (*.f32 (log.f32 (E.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 (E.f32) (+.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal 1/2 binary32))) (neg.f32 (log.f32 v))))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal 1/2 binary32))) (log.f32 v)))
(+.f32 (exp.f32 (*.f32 (log.f32 (E.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 (log.f32 (E.f32)) (+.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 (E.f32)) (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)))) v))
(+.f32 (pow.f32 (E.f32) (+.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal 1/2 binary32))) (neg.f32 (log.f32 v)))) (*.f32 (pow.f32 (E.f32) (+.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal 1/2 binary32))) (neg.f32 (log.f32 v)))) (/.f32 (*.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v)))
(fma.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal 1/2 binary32))) (log.f32 v))) (/.f32 (fma.f32 cosTheta_O cosTheta_i #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 (log.f32 (E.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 (log.f32 (E.f32)) (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) v)))))) (*.f32 (pow.f32 (log.f32 (E.f32)) #s(literal 2 binary32)) (pow.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 2 binary32)))) (pow.f32 v #s(literal 2 binary32)))) (/.f32 (*.f32 (exp.f32 (*.f32 (log.f32 (E.f32)) (+.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 (E.f32)) (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)))) v)))
(+.f32 (pow.f32 (E.f32) (+.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal 1/2 binary32))) (neg.f32 (log.f32 v)))) (fma.f32 #s(literal 1/2 binary32) (*.f32 (pow.f32 (E.f32) (+.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal 1/2 binary32))) (neg.f32 (log.f32 v)))) (/.f32 (*.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) #s(literal 2 binary32))) (pow.f32 v #s(literal 2 binary32)))) (*.f32 (pow.f32 (E.f32) (+.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal 1/2 binary32))) (neg.f32 (log.f32 v)))) (/.f32 (*.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))))
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(/.f32 (fma.f32 #s(literal 6931/10000 binary32) v #s(literal -1 binary32)) v)
#s(literal 6931/10000 binary32)
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#s(literal 6931/10000 binary32)
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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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(+.f32 (exp.f32 (neg.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)) (exp.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))) (pow.f32 v #s(literal 3 binary32)))) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (pow.f32 cosTheta_i #s(literal 2 binary32)) (exp.f32 (neg.f32 (+.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 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) v))))
(+.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (neg.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))))) (*.f32 cosTheta_O (fma.f32 cosTheta_O (fma.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 (*.f32 cosTheta_O (pow.f32 cosTheta_i #s(literal 3 binary32))) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (neg.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))))) (pow.f32 v #s(literal 3 binary32))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (pow.f32 cosTheta_i #s(literal 2 binary32)) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (neg.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))))))) (pow.f32 v #s(literal 2 binary32)))) (/.f32 (*.f32 cosTheta_i (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (neg.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))))) v))))
(fma.f32 cosTheta_O (fma.f32 cosTheta_O (fma.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_O (/.f32 (*.f32 (pow.f32 cosTheta_i #s(literal 3 binary32)) (exp.f32 (-.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))) (pow.f32 v #s(literal 3 binary32)))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (pow.f32 cosTheta_i #s(literal 2 binary32)) (exp.f32 (-.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))))) (pow.f32 v #s(literal 2 binary32)))) (/.f32 (*.f32 cosTheta_i (exp.f32 (-.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))) v)) (exp.f32 (-.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))))
(exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))
(exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))
(exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))
(exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))
(exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))
(exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))
(exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))
(exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))
(exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1 binary32) v)))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(+.f32 (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1 binary32) v))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1 binary32) v))))) v)))
(+.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (neg.f32 (/.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) v)))
(-.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (/.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) v))
(+.f32 (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1 binary32) v))) (*.f32 sinTheta_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1 binary32) v)))) v)) (*.f32 #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) v) (/.f32 #s(literal 1 binary32) v))))) (pow.f32 v #s(literal 2 binary32)))))))
(+.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (*.f32 sinTheta_i (fma.f32 #s(literal -1 binary32) (*.f32 sinTheta_O (/.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) v)) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 2 binary32)) sinTheta_i) (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))) (pow.f32 v #s(literal 2 binary32))))))
(fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (*.f32 (pow.f32 sinTheta_O #s(literal 2 binary32)) (/.f32 (*.f32 sinTheta_i (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) (pow.f32 v #s(literal 2 binary32)))) (*.f32 sinTheta_O (neg.f32 (/.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) v)))) (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(+.f32 (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1 binary32) v))) (*.f32 sinTheta_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1 binary32) v)))) v)) (*.f32 sinTheta_i (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) (*.f32 sinTheta_i (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1 binary32) v))))) (pow.f32 v #s(literal 3 binary32)))) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 2 binary32)) (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1 binary32) v)))) (pow.f32 v #s(literal 2 binary32)))))))))
(+.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (*.f32 sinTheta_i (fma.f32 #s(literal -1 binary32) (*.f32 sinTheta_O (/.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) v)) (*.f32 sinTheta_i (fma.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) sinTheta_i) (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) (pow.f32 v #s(literal 3 binary32))) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (pow.f32 sinTheta_O #s(literal 2 binary32))) (pow.f32 v #s(literal 2 binary32)))))))))
(fma.f32 sinTheta_i (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (pow.f32 sinTheta_O #s(literal 2 binary32))) (pow.f32 v #s(literal 2 binary32))) (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) sinTheta_i) (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) (pow.f32 v #s(literal 3 binary32))))) (*.f32 sinTheta_O (neg.f32 (/.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) v)))) (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))
(exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))
(exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))
(exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))
(exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))
(exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))
(exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))
(exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))
(exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1 binary32) v)))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(+.f32 (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1 binary32) v))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1 binary32) v))))) v)))
(+.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (neg.f32 (/.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) v)))
(-.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (/.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) v))
(+.f32 (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1 binary32) v))) (*.f32 sinTheta_O (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_i (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1 binary32) v)))) v)) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 sinTheta_O (*.f32 (pow.f32 sinTheta_i #s(literal 2 binary32)) (exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1 binary32) v))))) (pow.f32 v #s(literal 2 binary32)))))))
(+.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (*.f32 sinTheta_O (fma.f32 #s(literal -1 binary32) (*.f32 sinTheta_i (/.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) v)) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 sinTheta_O (pow.f32 sinTheta_i #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_O (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 sinTheta_O (pow.f32 sinTheta_i #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 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)))
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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 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))) v))
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(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v))
(/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))) v))) v)
(/.f32 (*.f32 #s(literal 1/2 binary32) (+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)))) v)
(/.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) (exp.f32 #s(literal 6931/10000 binary32)))) v)
(/.f32 (+.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (pow.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) #s(literal 2 binary32))) (pow.f32 v #s(literal 2 binary32)))) (+.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))) v)))) v)
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(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))
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(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
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(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))))
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))))
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(+.f32 (exp.f32 (-.f32 #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 #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 cosTheta_O (pow.f32 cosTheta_i #s(literal 2 binary32))) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))))) (pow.f32 v #s(literal 2 binary32))) (*.f32 cosTheta_i (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))) v))) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))))
(+.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) (*.f32 cosTheta_O (+.f32 (*.f32 cosTheta_O (+.f32 (*.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 cosTheta_O (*.f32 (pow.f32 cosTheta_i #s(literal 3 binary32)) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))) (pow.f32 v #s(literal 3 binary32)))) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (pow.f32 cosTheta_i #s(literal 2 binary32)) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) (pow.f32 v #s(literal 2 binary32)))))) (/.f32 (*.f32 cosTheta_i (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) v))))
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(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))
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(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))
(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 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(exp.f32 (+.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)))
(+.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))))) v)))
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(-.f32 (exp.f32 (+.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) (/.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) (exp.f32 (+.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)))) v))
(+.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) (*.f32 sinTheta_O (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_i (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)))) v)) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 sinTheta_O (*.f32 (pow.f32 sinTheta_i #s(literal 2 binary32)) (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))))) (pow.f32 v #s(literal 2 binary32)))))))
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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 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))
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(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))
(expm1.f32 (log1p.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)))))
(expm1.f32 (log1p.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))))
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(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))
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(-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))
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(-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))
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(-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))
(+.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i sinTheta_O)) (fma.f32 (neg.f32 sinTheta_O) sinTheta_i (*.f32 sinTheta_i sinTheta_O)))
(+.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 sinTheta_O (neg.f32 sinTheta_i) (*.f32 sinTheta_O sinTheta_i)))
(+.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i sinTheta_O)) (fma.f32 (neg.f32 sinTheta_i) sinTheta_O (*.f32 sinTheta_i sinTheta_O)))
(+.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 sinTheta_O (neg.f32 sinTheta_i) (*.f32 sinTheta_O sinTheta_i)))
(+.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i sinTheta_O)) (fma.f32 (neg.f32 (sqrt.f32 (*.f32 sinTheta_i sinTheta_O))) (sqrt.f32 (*.f32 sinTheta_i sinTheta_O)) (*.f32 sinTheta_i sinTheta_O)))
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(+.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 sinTheta_O sinTheta_i)))
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(+.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) (fma.f32 (neg.f32 sinTheta_i) sinTheta_O (*.f32 sinTheta_O sinTheta_i)))
(+.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 sinTheta_O sinTheta_i)))
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(+.f32 (fma.f32 (neg.f32 sinTheta_i) sinTheta_O (*.f32 sinTheta_O sinTheta_i)) (-.f32 (*.f32 (cbrt.f32 (pow.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 2 binary32))) (cbrt.f32 (*.f32 cosTheta_O cosTheta_i))) (*.f32 sinTheta_O sinTheta_i)))
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(+.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 sinTheta_O sinTheta_i)) (-.f32 (*.f32 (cbrt.f32 (pow.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 2 binary32))) (cbrt.f32 (*.f32 cosTheta_O cosTheta_i))) (*.f32 sinTheta_O sinTheta_i)))
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(+.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) (fma.f32 (neg.f32 sinTheta_i) sinTheta_O (*.f32 sinTheta_O sinTheta_i)))
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(*.f32 #s(literal 1 binary32) (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i sinTheta_O)))
(-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))
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(*.f32 (cbrt.f32 (pow.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) #s(literal 2 binary32))) (cbrt.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))))
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(-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))
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(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v))) #s(literal 2 binary32))) (cbrt.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) #s(literal 2 binary32))) (cbrt.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))))
(pow.f32 (exp.f32 (sqrt.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)))) (sqrt.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v))))
(pow.f32 (exp.f32 (sqrt.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))) (sqrt.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))))
(log.f32 (exp.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)))))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v))))))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))
(cbrt.f32 (exp.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)) #s(literal 3 binary32))))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))
(expm1.f32 (log1p.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)))))
(expm1.f32 (log1p.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))))
(log1p.f32 (expm1.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)))))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))
(exp.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)) #s(literal 1 binary32)))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 cosTheta_O cosTheta_i))) #s(literal 1 binary32))
(expm1.f32 (log1p.f32 (*.f32 cosTheta_O cosTheta_i)))
(pow.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32))
(*.f32 cosTheta_O cosTheta_i)
(pow.f32 (cbrt.f32 (*.f32 cosTheta_O cosTheta_i)) #s(literal 3 binary32))
(*.f32 cosTheta_O cosTheta_i)
(pow.f32 (sqrt.f32 (*.f32 cosTheta_O cosTheta_i)) #s(literal 2 binary32))
(*.f32 cosTheta_O cosTheta_i)
(pow.f32 (pow.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(*.f32 cosTheta_O cosTheta_i)
(log.f32 (pow.f32 (exp.f32 cosTheta_O) cosTheta_i))
(*.f32 cosTheta_O cosTheta_i)
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 cosTheta_O cosTheta_i))))
(*.f32 cosTheta_O cosTheta_i)
(cbrt.f32 (pow.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 3 binary32)))
(*.f32 cosTheta_O cosTheta_i)
(expm1.f32 (log1p.f32 (*.f32 cosTheta_O cosTheta_i)))
(log1p.f32 (expm1.f32 (*.f32 cosTheta_O cosTheta_i)))
(*.f32 cosTheta_O cosTheta_i)
(exp.f32 (log.f32 (*.f32 cosTheta_O cosTheta_i)))
(*.f32 cosTheta_O cosTheta_i)
(exp.f32 (*.f32 (log.f32 (*.f32 cosTheta_O cosTheta_i)) #s(literal 1 binary32)))
(*.f32 cosTheta_O cosTheta_i)

eval161.0ms (1.3%)

Compiler

Compiled 32024 to 5810 computations (81.9% saved)

prune232.0ms (1.9%)

Pruning

19 alts after pruning (15 fresh and 4 done)

PrunedKeptTotal
New105891067
Fresh5611
Picked325
Done022
Total1066191085
Accuracy
99.9%
Counts
1085 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.0%
(pow.f32 (pow.f32 (*.f32 (pow.f32 (sqrt.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
98.9%
(pow.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
99.6%
(pow.f32 (cbrt.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))) #s(literal 3 binary32))
99.7%
(pow.f32 (E.f32) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))
28.9%
(*.f32 (pow.f32 (pow.f32 (/.f32 #s(literal 1/2 binary32) v) #s(literal 3 binary32)) #s(literal 1/3 binary32)) (sqrt.f32 (pow.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) #s(literal 2 binary32))))
99.7%
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 #s(literal 1 binary32)) (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))))
99.6%
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (E.f32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
99.7%
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 (+.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (neg.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))))) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (neg.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))))) v)) (exp.f32 #s(literal 6931/10000 binary32))))
99.6%
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 #s(literal 6931/10000 binary32))))
99.5%
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (sqrt.f32 (pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))) #s(literal 2 binary32))))
97.6%
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
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))))
99.6%
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
99.6%
(*.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))
13.5%
(exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))
99.7%
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
99.7%
(exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
99.8%
(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))) (/.f32 #s(literal 1 binary32) v))))
6.5%
#s(literal 1 binary32)
Compiler

Compiled 707 to 553 computations (21.8% saved)

localize338.0ms (2.8%)

Algorithm
egg-herbie
Localize:

Found 40 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f32 #s(literal 1/2 binary32) v)
cost-diff0
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
cost-diff0
(cbrt.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))))
cost-diff6432
(pow.f32 (cbrt.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))) #s(literal 3 binary32))
cost-diff0
(exp.f32 (/.f32 #s(literal -1 binary32) v))
cost-diff0
(/.f32 #s(literal 1/2 binary32) v)
cost-diff3200
(*.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 #s(literal 6931/10000 binary32)))
cost-diff3200
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 #s(literal 6931/10000 binary32))))
cost-diff-3136
(+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
cost-diff0
(*.f32 sinTheta_O sinTheta_i)
cost-diff0
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
cost-diff0
(/.f32 #s(literal 1 binary32) v)
cost-diff-3168
(exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))
cost-diff0
(neg.f32 sinTheta_O)
cost-diff0
(*.f32 sinTheta_i (neg.f32 sinTheta_O))
cost-diff0
(/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v)
cost-diff0
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
cost-diff0
(neg.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
cost-diff0
(/.f32 #s(literal -1 binary32) v)
cost-diff0
(/.f32 #s(literal 1/2 binary32) v)
accuracy99.9%
(+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))
accuracy99.9%
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
accuracy99.8%
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
accuracy99.5%
(cbrt.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))))
accuracy100.0%
(exp.f32 #s(literal 6931/10000 binary32))
accuracy100.0%
(*.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 #s(literal 6931/10000 binary32)))
accuracy99.9%
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 #s(literal 6931/10000 binary32))))
accuracy99.8%
(exp.f32 (/.f32 #s(literal -1 binary32) v))
accuracy99.9%
(-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
accuracy99.9%
(/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v)
accuracy99.8%
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
accuracy79.5%
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
accuracy100.0%
(*.f32 sinTheta_i (neg.f32 sinTheta_O))
accuracy100.0%
(neg.f32 sinTheta_O)
accuracy99.8%
(exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))
accuracy79.5%
(/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v)
accuracy99.9%
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (neg.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))))) v)
accuracy99.9%
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 (+.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (neg.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))))) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (neg.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))))) v)) (exp.f32 #s(literal 6931/10000 binary32))))
accuracy99.8%
(exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (neg.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))))
accuracy99.4%
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
Rules
1322×associate-/r*
1114×fma-define
962×*-commutative
716×fmm-def
592×distribute-lft-out
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
0531376
11141344
22581340
37121228
421251191
541441128
665821128
Stop Event
node limit
Calls
Call 1
Inputs
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 (+.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (neg.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))))) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (neg.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))))) v)) (exp.f32 #s(literal 6931/10000 binary32))))
(/.f32 #s(literal 1/2 binary32) v)
#s(literal 1/2 binary32)
v
(*.f32 (+.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (neg.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))))) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (neg.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))))) v)) (exp.f32 #s(literal 6931/10000 binary32)))
(+.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (neg.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))))) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (neg.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))))) v))
(exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (neg.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))))
(+.f32 (/.f32 #s(literal -1 binary32) v) (neg.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(/.f32 #s(literal -1 binary32) v)
#s(literal -1 binary32)
(neg.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
sinTheta_O
(/.f32 sinTheta_i v)
sinTheta_i
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (neg.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))))) v)
(*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (neg.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))))))
(*.f32 cosTheta_O cosTheta_i)
cosTheta_O
cosTheta_i
(exp.f32 #s(literal 6931/10000 binary32))
#s(literal 6931/10000 binary32)
(exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))
(/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v)
(*.f32 sinTheta_i (neg.f32 sinTheta_O))
sinTheta_i
(neg.f32 sinTheta_O)
sinTheta_O
v
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))
#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)
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
#s(literal 6931/10000 binary32)
(+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
v
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O sinTheta_i)
sinTheta_O
sinTheta_i
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 #s(literal 6931/10000 binary32))))
(/.f32 #s(literal 1/2 binary32) v)
#s(literal 1/2 binary32)
v
(*.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 #s(literal 6931/10000 binary32)))
(exp.f32 (/.f32 #s(literal -1 binary32) v))
(/.f32 #s(literal -1 binary32) v)
#s(literal -1 binary32)
(exp.f32 #s(literal 6931/10000 binary32))
#s(literal 6931/10000 binary32)
(pow.f32 (cbrt.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))) #s(literal 3 binary32))
(cbrt.f32 (*.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))))
(/.f32 #s(literal 1/2 binary32) v)
#s(literal 1/2 binary32)
v
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))
#s(literal 6931/10000 binary32)
(/.f32 #s(literal -1 binary32) v)
#s(literal -1 binary32)
#s(literal 3 binary32)
Outputs
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 (+.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (neg.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))))) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (neg.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))))) v)) (exp.f32 #s(literal 6931/10000 binary32))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 (+.f32 (exp.f32 (-.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) (*.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (exp.f32 (-.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) v))) (exp.f32 #s(literal 6931/10000 binary32))))
(*.f32 (fma.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (exp.f32 (-.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 sinTheta_i (/.f32 sinTheta_O v)))) v) (exp.f32 (-.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 sinTheta_i (/.f32 sinTheta_O v))))) (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1/2 binary32) v)))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (+.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))) (*.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))))
(*.f32 (*.f32 (+.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1 binary32)) (exp.f32 (-.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))) (/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) v))
(*.f32 (exp.f32 (-.f32 (/.f32 #s(literal -1 binary32) v) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal -6931/10000 binary32)))) (*.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) v)))
(*.f32 (exp.f32 (fma.f32 (/.f32 #s(literal -1 binary32) v) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 6931/10000 binary32))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 1 binary32))))
(/.f32 #s(literal 1/2 binary32) v)
#s(literal 1/2 binary32)
v
(*.f32 (+.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (neg.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))))) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (neg.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))))) v)) (exp.f32 #s(literal 6931/10000 binary32)))
(*.f32 (+.f32 (exp.f32 (-.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) (*.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (exp.f32 (-.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) v))) (exp.f32 #s(literal 6931/10000 binary32)))
(*.f32 (fma.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (exp.f32 (-.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 sinTheta_i (/.f32 sinTheta_O v)))) v) (exp.f32 (-.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 sinTheta_i (/.f32 sinTheta_O v))))) (exp.f32 #s(literal 6931/10000 binary32)))
(+.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))) (*.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))) (*.f32 cosTheta_O (/.f32 cosTheta_i v))))
(*.f32 (*.f32 (+.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1 binary32)) (exp.f32 (-.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))) (exp.f32 #s(literal 6931/10000 binary32)))
(*.f32 (exp.f32 (-.f32 (/.f32 #s(literal -1 binary32) v) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal -6931/10000 binary32)))) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 1 binary32)))
(*.f32 (exp.f32 (fma.f32 (/.f32 #s(literal -1 binary32) v) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 6931/10000 binary32))) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 1 binary32)))
(+.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (neg.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))))) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (neg.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))))) v))
(+.f32 (exp.f32 (-.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) (*.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (exp.f32 (-.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) v)))
(fma.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (exp.f32 (-.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 sinTheta_i (/.f32 sinTheta_O v)))) v) (exp.f32 (-.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 sinTheta_i (/.f32 sinTheta_O v)))))
(fma.f32 (exp.f32 (-.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (exp.f32 (-.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))))
(*.f32 (+.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1 binary32)) (exp.f32 (-.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))))
(*.f32 (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) (-.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal -1 binary32)))) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 1 binary32)))
(*.f32 (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 1 binary32)))
(exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (neg.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))))
(exp.f32 (-.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(exp.f32 (-.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 sinTheta_i (/.f32 sinTheta_O v))))
(exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) (-.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal -1 binary32))))
(pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))
(+.f32 (/.f32 #s(literal -1 binary32) v) (neg.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(-.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(-.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 sinTheta_i (/.f32 sinTheta_O v)))
(*.f32 (/.f32 #s(literal -1 binary32) v) (-.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal -1 binary32) v) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))
(/.f32 #s(literal -1 binary32) v)
#s(literal -1 binary32)
(neg.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(*.f32 sinTheta_O (neg.f32 (/.f32 sinTheta_i v)))
(*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)))
(*.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
sinTheta_O
(/.f32 sinTheta_i v)
sinTheta_i
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (neg.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))))) v)
(*.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (exp.f32 (-.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) v))
(*.f32 (exp.f32 (-.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 sinTheta_i (/.f32 sinTheta_O v)))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(*.f32 (exp.f32 (-.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))) v)
(*.f32 (/.f32 cosTheta_O (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))) (/.f32 cosTheta_i v))
(*.f32 (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (neg.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))))))
(*.f32 (exp.f32 (-.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) (*.f32 cosTheta_O cosTheta_i))
(*.f32 (exp.f32 (-.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 sinTheta_i (/.f32 sinTheta_O v)))) (*.f32 cosTheta_O cosTheta_i))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))))
(*.f32 cosTheta_i (/.f32 cosTheta_O (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))))
(*.f32 (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (*.f32 cosTheta_O cosTheta_i))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))))
(*.f32 cosTheta_O cosTheta_i)
cosTheta_O
cosTheta_i
(exp.f32 #s(literal 6931/10000 binary32))
#s(literal 6931/10000 binary32)
(exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))
(pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i (neg.f32 v)))
(/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v)
(*.f32 sinTheta_O (neg.f32 (/.f32 sinTheta_i v)))
(*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)))
(*.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))
(*.f32 sinTheta_i (neg.f32 sinTheta_O))
(*.f32 sinTheta_O (neg.f32 sinTheta_i))
sinTheta_i
(neg.f32 sinTheta_O)
sinTheta_O
v
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) v))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))) v))
(*.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(literal 1/2 binary32) v))
(*.f32 (/.f32 #s(literal 1/2 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 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 (/.f32 #s(literal -1 binary32) v) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal -6931/10000 binary32)))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (fma.f32 (/.f32 #s(literal -1 binary32) v) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 6931/10000 binary32))))
#s(literal 1/2 binary32)
(/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v)
(/.f32 (exp.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) v)
(/.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 (exp.f32 (-.f32 (/.f32 #s(literal -1 binary32) v) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal -6931/10000 binary32)))) v)
(/.f32 (exp.f32 (fma.f32 (/.f32 #s(literal -1 binary32) v) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 6931/10000 binary32))) v)
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))))
(exp.f32 (-.f32 (/.f32 #s(literal -1 binary32) v) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal -6931/10000 binary32))))
(exp.f32 (fma.f32 (/.f32 #s(literal -1 binary32) v) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 6931/10000 binary32)))
(-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(-.f32 (-.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) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))
(-.f32 (/.f32 #s(literal -1 binary32) v) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal -6931/10000 binary32)))
(fma.f32 (/.f32 #s(literal -1 binary32) v) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 6931/10000 binary32))
#s(literal 6931/10000 binary32)
(+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(+.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) (/.f32 #s(literal 1 binary32) v))
(fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))
(*.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
v
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
(*.f32 sinTheta_O sinTheta_i)
sinTheta_O
sinTheta_i
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 #s(literal 6931/10000 binary32))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
(/.f32 #s(literal 1/2 binary32) v)
#s(literal 1/2 binary32)
v
(*.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 #s(literal 6931/10000 binary32)))
(exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))
(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) v)
#s(literal -1 binary32)
(exp.f32 #s(literal 6931/10000 binary32))
#s(literal 6931/10000 binary32)
(pow.f32 (cbrt.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))) #s(literal 3 binary32))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
(cbrt.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))))
(cbrt.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))))
(cbrt.f32 (*.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))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
(/.f32 #s(literal 1/2 binary32) v)
#s(literal 1/2 binary32)
v
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
(exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))
(+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))
#s(literal 6931/10000 binary32)
(/.f32 #s(literal -1 binary32) v)
#s(literal -1 binary32)
#s(literal 3 binary32)
Results
167.0ms256×0valid
Compiler

Compiled 380 to 45 computations (88.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 68.0ms
ival-mult: 18.0ms (26.6% of total)
ival-div: 16.0ms (23.7% of total)
ival-exp: 11.0ms (16.3% of total)
ival-pow: 10.0ms (14.8% of total)
ival-add: 5.0ms (7.4% of total)
ival-neg: 3.0ms (4.4% of total)
ival-cbrt: 2.0ms (3% of total)
ival-sub: 1.0ms (1.5% of total)
const: 1.0ms (1.5% of total)
backward-pass: 0.0ms (0% of total)

series104.0ms (0.9%)

Counts
19 → 490
Calls
Call 1
Inputs
#<alt (*.f32 sinTheta_O (/.f32 sinTheta_i v))>
#<alt (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (neg.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))))>
#<alt (*.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 (+.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (neg.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))))) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (neg.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))))) v)) (exp.f32 #s(literal 6931/10000 binary32))))>
#<alt (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (neg.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))))) v)>
#<alt (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v)>
#<alt (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))>
#<alt (neg.f32 sinTheta_O)>
#<alt (*.f32 sinTheta_i (neg.f32 sinTheta_O))>
#<alt (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))>
#<alt (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v)>
#<alt (-.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 -1 binary32) v))>
#<alt (*.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 #s(literal 6931/10000 binary32))))>
#<alt (*.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 #s(literal 6931/10000 binary32)))>
#<alt (cbrt.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))))>
#<alt (neg.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))>
#<alt (/.f32 #s(literal 1 binary32) v)>
#<alt (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))>
#<alt (pow.f32 (cbrt.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))) #s(literal 3 binary32))>
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 (exp.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))>
#<alt (exp.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))>
#<alt (exp.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))>
#<alt (exp.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))>
#<alt #s(literal 1 binary32)>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)))>
#<alt (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) (*.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) #s(literal 2 binary32)) (pow.f32 v #s(literal 2 binary32))))))>
#<alt (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) #s(literal 3 binary32)) (pow.f32 v #s(literal 3 binary32)))) (*.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) #s(literal 2 binary32)) (pow.f32 v #s(literal 2 binary32)))))))>
#<alt #s(literal 1 binary32)>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))) v)))>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))) #s(literal 2 binary32)) v))) (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))) v)))>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))) #s(literal 3 binary32)) v)) (*.f32 #s(literal 1/2 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))) #s(literal 2 binary32)))) v))) (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))) v)))>
#<alt (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v)))>
#<alt (+.f32 (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v))))) v)))>
#<alt (+.f32 (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 sinTheta_O (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_i (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v)))) v)) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 sinTheta_O (*.f32 (pow.f32 sinTheta_i #s(literal 2 binary32)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v))))) (pow.f32 v #s(literal 2 binary32)))))))>
#<alt (+.f32 (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 sinTheta_O (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_i (exp.f32 (neg.f32 (/.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 (neg.f32 (/.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 (neg.f32 (/.f32 #s(literal 1 binary32) v)))) (pow.f32 v #s(literal 2 binary32)))))))))>
#<alt (exp.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))>
#<alt (exp.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))>
#<alt (exp.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))>
#<alt (exp.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))>
#<alt (exp.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))>
#<alt (exp.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))>
#<alt (exp.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))>
#<alt (exp.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))>
#<alt (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v)))>
#<alt (+.f32 (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v))))) v)))>
#<alt (+.f32 (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 sinTheta_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v)))) v)) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 2 binary32)) (*.f32 sinTheta_i (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v))))) (pow.f32 v #s(literal 2 binary32)))))))>
#<alt (+.f32 (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 sinTheta_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v)))) v)) (*.f32 sinTheta_i (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) (*.f32 sinTheta_i (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v))))) (pow.f32 v #s(literal 3 binary32)))) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 2 binary32)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v)))) (pow.f32 v #s(literal 2 binary32)))))))))>
#<alt (exp.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))>
#<alt (exp.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))>
#<alt (exp.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))>
#<alt (exp.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))>
#<alt (exp.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))>
#<alt (exp.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))>
#<alt (exp.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))>
#<alt (exp.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))>
#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))))) (pow.f32 v #s(literal 2 binary32))))>
#<alt (/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))))) (*.f32 #s(literal 1/2 binary32) (*.f32 v (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))))) (pow.f32 v #s(literal 2 binary32)))>
#<alt (/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))))) (*.f32 #s(literal 1/2 binary32) (*.f32 v (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))))) (pow.f32 v #s(literal 2 binary32)))>
#<alt (/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))))) (*.f32 #s(literal 1/2 binary32) (*.f32 v (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))))) (pow.f32 v #s(literal 2 binary32)))>
#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v))>
#<alt (/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (+.f32 (*.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) (*.f32 cosTheta_O cosTheta_i))) v))) v)>
#<alt (/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta_O (*.f32 cosTheta_i (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))))) (*.f32 #s(literal 1/2 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) #s(literal 2 binary32))))) (pow.f32 v #s(literal 2 binary32)))) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (+.f32 (*.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) (*.f32 cosTheta_O cosTheta_i))) v)))) v)>
#<alt (/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta_O (*.f32 cosTheta_i (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))))) (*.f32 #s(literal 1/2 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) #s(literal 2 binary32))))) (pow.f32 v #s(literal 2 binary32)))) (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (+.f32 (*.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) (*.f32 cosTheta_O cosTheta_i))) v)) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) #s(literal 3 binary32))) (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (*.f32 cosTheta_i (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) #s(literal 2 binary32))))))) (pow.f32 v #s(literal 3 binary32))))))) v)>
#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v))>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (-.f32 (+.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))) v))>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (-.f32 (+.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))))) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta_O (*.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)))))) (*.f32 #s(literal 1/2 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))) #s(literal 2 binary32))))) v))) v)) (*.f32 #s(literal -1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32)))) v))>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta_O (*.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)))))) (*.f32 #s(literal 1/2 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))) #s(literal 2 binary32)))))) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_O (*.f32 cosTheta_i (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))) #s(literal 2 binary32))))) (*.f32 #s(literal 1/6 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))) #s(literal 3 binary32))))) v))) v)) (*.f32 #s(literal -1/2 binary32) (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (-.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)) (*.f32 #s(literal -1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32)))) v))>
#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (+.f32 (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v))))) v))) v))>
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#<alt (*.f32 cosTheta_O (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta_i (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))) (pow.f32 v #s(literal 2 binary32)))) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) (*.f32 cosTheta_O v)))))>
#<alt (*.f32 cosTheta_O (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta_i (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))) (pow.f32 v #s(literal 2 binary32)))) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) (*.f32 cosTheta_O v)))))>
#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))))) (pow.f32 v #s(literal 2 binary32))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 cosTheta_O (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 cosTheta_i (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))) (pow.f32 v #s(literal 2 binary32)))) (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) (*.f32 cosTheta_O v))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 cosTheta_O (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 cosTheta_i (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))) (pow.f32 v #s(literal 2 binary32)))) (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) (*.f32 cosTheta_O v))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 cosTheta_O (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 cosTheta_i (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))) (pow.f32 v #s(literal 2 binary32)))) (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) (*.f32 cosTheta_O v))))))>
#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) v))>
#<alt (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))))) (pow.f32 v #s(literal 2 binary32)))) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) v)))>
#<alt (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))))) (pow.f32 v #s(literal 2 binary32)))) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) v)))>
#<alt (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))))) (pow.f32 v #s(literal 2 binary32)))) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) v)))>
#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))))) (pow.f32 v #s(literal 2 binary32))))>
#<alt (*.f32 cosTheta_i (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta_O (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))) (pow.f32 v #s(literal 2 binary32)))) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) (*.f32 cosTheta_i v)))))>
#<alt (*.f32 cosTheta_i (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta_O (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))) (pow.f32 v #s(literal 2 binary32)))) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) (*.f32 cosTheta_i v)))))>
#<alt (*.f32 cosTheta_i (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta_O (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))) (pow.f32 v #s(literal 2 binary32)))) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) (*.f32 cosTheta_i v)))))>
#<alt (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))))) (pow.f32 v #s(literal 2 binary32))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 cosTheta_i (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 cosTheta_O (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))) (pow.f32 v #s(literal 2 binary32)))) (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) (*.f32 cosTheta_i v))))))>
#<alt (*.f32 #s(literal -1 binary32) (*.f32 cosTheta_i (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 cosTheta_O (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))) (pow.f32 v #s(literal 2 binary32)))) (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) (*.f32 cosTheta_i v))))))>
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#<alt (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (exp.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))) v)>
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#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
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#<alt (/.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))) v)) (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) #s(literal 3 binary32)))) (pow.f32 v #s(literal 3 binary32)))) (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) #s(literal 2 binary32)))) (pow.f32 v #s(literal 2 binary32)))) (*.f32 cosTheta_O cosTheta_i)))) v)>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta_O cosTheta_i)) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))))) v)) v))>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta_O cosTheta_i)) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta_O (*.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)))))) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))) #s(literal 2 binary32)))) v))) v))) v))>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta_O cosTheta_i)) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta_O (*.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)))))) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_O (*.f32 cosTheta_i (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))) #s(literal 2 binary32))))) (*.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))) #s(literal 3 binary32)))) v))) v))) v))) v))>
#<alt (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v))))) v)>
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#<alt (/.f32 (*.f32 (pow.f32 (cbrt.f32 #s(literal 1/2 binary32)) #s(literal 3 binary32)) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) v)>
#<alt (/.f32 (*.f32 (pow.f32 (cbrt.f32 #s(literal 1/2 binary32)) #s(literal 3 binary32)) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) v)>
#<alt (/.f32 (*.f32 (pow.f32 (cbrt.f32 #s(literal 1/2 binary32)) #s(literal 3 binary32)) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) v)>
#<alt (/.f32 (*.f32 (pow.f32 (cbrt.f32 #s(literal 1/2 binary32)) #s(literal 3 binary32)) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) v)>
#<alt (/.f32 (*.f32 (pow.f32 (cbrt.f32 #s(literal 1/2 binary32)) #s(literal 3 binary32)) (exp.f32 #s(literal 6931/10000 binary32))) v)>
#<alt (/.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 (pow.f32 (cbrt.f32 #s(literal 1/2 binary32)) #s(literal 3 binary32)) (exp.f32 #s(literal 6931/10000 binary32))) v)) (*.f32 (pow.f32 (cbrt.f32 #s(literal 1/2 binary32)) #s(literal 3 binary32)) (exp.f32 #s(literal 6931/10000 binary32)))) v)>
#<alt (/.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 (pow.f32 (cbrt.f32 #s(literal 1/2 binary32)) #s(literal 3 binary32)) (exp.f32 #s(literal 6931/10000 binary32))) v)) (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (pow.f32 (cbrt.f32 #s(literal 1/2 binary32)) #s(literal 3 binary32)) (exp.f32 #s(literal 6931/10000 binary32))) (pow.f32 v #s(literal 2 binary32)))) (*.f32 (pow.f32 (cbrt.f32 #s(literal 1/2 binary32)) #s(literal 3 binary32)) (exp.f32 #s(literal 6931/10000 binary32))))) v)>
#<alt (/.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 (pow.f32 (cbrt.f32 #s(literal 1/2 binary32)) #s(literal 3 binary32)) (exp.f32 #s(literal 6931/10000 binary32))) v)) (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (pow.f32 (cbrt.f32 #s(literal 1/2 binary32)) #s(literal 3 binary32)) (exp.f32 #s(literal 6931/10000 binary32))) (pow.f32 v #s(literal 3 binary32)))) (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (pow.f32 (cbrt.f32 #s(literal 1/2 binary32)) #s(literal 3 binary32)) (exp.f32 #s(literal 6931/10000 binary32))) (pow.f32 v #s(literal 2 binary32)))) (*.f32 (pow.f32 (cbrt.f32 #s(literal 1/2 binary32)) #s(literal 3 binary32)) (exp.f32 #s(literal 6931/10000 binary32)))))) v)>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 (pow.f32 (cbrt.f32 #s(literal -1/2 binary32)) #s(literal 3 binary32)) (exp.f32 #s(literal 6931/10000 binary32))) v))>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 (pow.f32 (cbrt.f32 #s(literal -1/2 binary32)) #s(literal 3 binary32)) (exp.f32 #s(literal 6931/10000 binary32))) v)) (*.f32 (pow.f32 (cbrt.f32 #s(literal -1/2 binary32)) #s(literal 3 binary32)) (exp.f32 #s(literal 6931/10000 binary32)))) v))>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (pow.f32 (cbrt.f32 #s(literal -1/2 binary32)) #s(literal 3 binary32)) (exp.f32 #s(literal 6931/10000 binary32))) v)) (*.f32 (pow.f32 (cbrt.f32 #s(literal -1/2 binary32)) #s(literal 3 binary32)) (exp.f32 #s(literal 6931/10000 binary32)))) v)) (*.f32 (pow.f32 (cbrt.f32 #s(literal -1/2 binary32)) #s(literal 3 binary32)) (exp.f32 #s(literal 6931/10000 binary32)))) v))>
#<alt (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (pow.f32 (cbrt.f32 #s(literal -1/2 binary32)) #s(literal 3 binary32)) (exp.f32 #s(literal 6931/10000 binary32))) v)) (*.f32 #s(literal 1/2 binary32) (*.f32 (pow.f32 (cbrt.f32 #s(literal -1/2 binary32)) #s(literal 3 binary32)) (exp.f32 #s(literal 6931/10000 binary32))))) v)) (*.f32 (pow.f32 (cbrt.f32 #s(literal -1/2 binary32)) #s(literal 3 binary32)) (exp.f32 #s(literal 6931/10000 binary32)))) v)) (*.f32 (pow.f32 (cbrt.f32 #s(literal -1/2 binary32)) #s(literal 3 binary32)) (exp.f32 #s(literal 6931/10000 binary32)))) v))>
Calls

138 calls:

TimeVariablePointExpression
5.0ms
v
@0
(cbrt (* (/ 1/2 v) (exp (+ 6931/10000 (/ -1 v)))))
5.0ms
sinTheta_i
@-inf
(* (/ 1/2 v) (* (+ (exp (+ (/ -1 v) (neg (* sinTheta_O (/ sinTheta_i v))))) (/ (* (* cosTheta_O cosTheta_i) (exp (+ (/ -1 v) (neg (* sinTheta_O (/ sinTheta_i v)))))) v)) (exp 6931/10000)))
4.0ms
v
@0
(* (/ 1/2 v) (* (+ (exp (+ (/ -1 v) (neg (* sinTheta_O (/ sinTheta_i v))))) (/ (* (* cosTheta_O cosTheta_i) (exp (+ (/ -1 v) (neg (* sinTheta_O (/ sinTheta_i v)))))) v)) (exp 6931/10000)))
4.0ms
sinTheta_i
@-inf
(* sinTheta_i (neg sinTheta_O))
3.0ms
sinTheta_O
@0
(* (/ 1/2 v) (* (+ (exp (+ (/ -1 v) (neg (* sinTheta_O (/ sinTheta_i v))))) (/ (* (* cosTheta_O cosTheta_i) (exp (+ (/ -1 v) (neg (* sinTheta_O (/ sinTheta_i v)))))) v)) (exp 6931/10000)))

rewrite170.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
361×log1p-expm1-u
361×expm1-log1p-u
360×add-exp-log
359×add-log-exp
357×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
052713
1887693
Stop Event
node limit
Counts
19 → 361
Calls
Call 1
Inputs
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (neg.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 (+.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (neg.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))))) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (neg.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))))) v)) (exp.f32 #s(literal 6931/10000 binary32))))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (neg.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))))) v)
(/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v)
(exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))
(neg.f32 sinTheta_O)
(*.f32 sinTheta_i (neg.f32 sinTheta_O))
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v)
(-.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 -1 binary32) v))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 #s(literal 6931/10000 binary32))))
(*.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 #s(literal 6931/10000 binary32)))
(cbrt.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))))
(neg.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(/.f32 #s(literal 1 binary32) v)
(+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(pow.f32 (cbrt.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))) #s(literal 3 binary32))
Outputs
(-.f32 (exp.f32 (log1p.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) #s(literal 1 binary32))
(/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) (neg.f32 v))
(/.f32 #s(literal 1 binary32) (/.f32 v (*.f32 sinTheta_O sinTheta_i)))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))) #s(literal 2 binary32))
(pow.f32 (/.f32 v (*.f32 sinTheta_O sinTheta_i)) #s(literal -1 binary32))
(log.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) sinTheta_O))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))))
(cbrt.f32 (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(log1p.f32 (expm1.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(exp.f32 (log.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(exp.f32 (*.f32 (log.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (exp.f32 (-.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (exp.f32 (-.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))))
(*.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (neg.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))))
(*.f32 (exp.f32 (neg.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
(*.f32 (pow.f32 (cbrt.f32 (exp.f32 (-.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))) #s(literal 2 binary32)) (cbrt.f32 (exp.f32 (-.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))))
(*.f32 (sqrt.f32 (exp.f32 (-.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))) (sqrt.f32 (exp.f32 (-.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))))
(/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (pow.f32 (exp.f32 (/.f32 sinTheta_i v)) sinTheta_O))
(pow.f32 (exp.f32 (-.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (exp.f32 (-.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (exp.f32 (-.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (exp.f32 (-.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))) #s(literal 2 binary32))
(pow.f32 (exp.f32 #s(literal 1 binary32)) (-.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (-.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) #s(literal 2 binary32))) (cbrt.f32 (-.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))))
(pow.f32 (exp.f32 (sqrt.f32 (-.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))) (sqrt.f32 (-.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))))
(log.f32 (exp.f32 (exp.f32 (-.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (exp.f32 (-.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))))))
(cbrt.f32 (pow.f32 (exp.f32 (-.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (exp.f32 (-.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))))
(log1p.f32 (expm1.f32 (exp.f32 (-.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 (fma.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (exp.f32 (-.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) v) (exp.f32 (-.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))) (exp.f32 #s(literal 6931/10000 binary32)))))) #s(literal 1 binary32))
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (fma.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (exp.f32 (-.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) v) (exp.f32 (-.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))) (exp.f32 #s(literal 6931/10000 binary32)))) v)
(pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 (fma.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (exp.f32 (-.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) v) (exp.f32 (-.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))) (exp.f32 #s(literal 6931/10000 binary32)))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 (fma.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (exp.f32 (-.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) v) (exp.f32 (-.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))) (exp.f32 #s(literal 6931/10000 binary32))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 (fma.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (exp.f32 (-.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) v) (exp.f32 (-.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))) (exp.f32 #s(literal 6931/10000 binary32)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 (fma.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (exp.f32 (-.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) v) (exp.f32 (-.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))) (exp.f32 #s(literal 6931/10000 binary32))))) #s(literal 2 binary32))
(log.f32 (pow.f32 (exp.f32 (/.f32 #s(literal 1/2 binary32) v)) (*.f32 (fma.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (exp.f32 (-.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) v) (exp.f32 (-.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))) (exp.f32 #s(literal 6931/10000 binary32)))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 (fma.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (exp.f32 (-.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) v) (exp.f32 (-.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))) (exp.f32 #s(literal 6931/10000 binary32)))))))
(cbrt.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 (fma.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (exp.f32 (-.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) v) (exp.f32 (-.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))) (exp.f32 #s(literal 6931/10000 binary32)))) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 #s(literal 1/2 binary32) v) #s(literal 3 binary32)) (pow.f32 (*.f32 (fma.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (exp.f32 (-.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) v) (exp.f32 (-.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))) (exp.f32 #s(literal 6931/10000 binary32))) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 (fma.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (exp.f32 (-.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) v) (exp.f32 (-.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))) (exp.f32 #s(literal 6931/10000 binary32))) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1/2 binary32) v) #s(literal 3 binary32))))
(expm1.f32 (log1p.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 (fma.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (exp.f32 (-.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) v) (exp.f32 (-.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))) (exp.f32 #s(literal 6931/10000 binary32))))))
(log1p.f32 (expm1.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 (fma.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (exp.f32 (-.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) v) (exp.f32 (-.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))) (exp.f32 #s(literal 6931/10000 binary32))))))
(exp.f32 (+.f32 (log.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (fma.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (exp.f32 (-.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) v) (exp.f32 (-.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))))) #s(literal 6931/10000 binary32)))
(exp.f32 (*.f32 (+.f32 (log.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (fma.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (exp.f32 (-.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) v) (exp.f32 (-.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))))) #s(literal 6931/10000 binary32)) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (exp.f32 (-.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) v)))) #s(literal 1 binary32))
(*.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (exp.f32 (-.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) v))
(*.f32 (*.f32 (exp.f32 (-.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) (*.f32 cosTheta_O cosTheta_i)) (/.f32 #s(literal 1 binary32) v))
(*.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (exp.f32 (-.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) v)))
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(log1p.f32 (expm1.f32 (neg.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))))
(exp.f32 (log.f32 (neg.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))))
(exp.f32 (*.f32 (log.f32 (neg.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v))
(*.f32 (cbrt.f32 (pow.f32 v #s(literal -2 binary32))) (/.f32 #s(literal 1 binary32) (cbrt.f32 v)))
(*.f32 (pow.f32 v #s(literal -1/2 binary32)) (pow.f32 v #s(literal -1/2 binary32)))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 v) #s(literal 2 binary32)) #s(literal -1 binary32)) (pow.f32 (cbrt.f32 v) #s(literal -1 binary32)))
(*.f32 (pow.f32 (sqrt.f32 v) #s(literal -1 binary32)) (pow.f32 (sqrt.f32 v) #s(literal -1 binary32)))
(pow.f32 v #s(literal -1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (cbrt.f32 v)) #s(literal 3 binary32))
(pow.f32 (pow.f32 v #s(literal -1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (pow.f32 v #s(literal -3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (/.f32 v #s(literal 1 binary32)) #s(literal -1 binary32))
(log.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 #s(literal 1 binary32) v))))
(cbrt.f32 (pow.f32 v #s(literal -3 binary32)))
(expm1.f32 (log1p.f32 (/.f32 #s(literal 1 binary32) v)))
(log1p.f32 (expm1.f32 (/.f32 #s(literal 1 binary32) v)))
(exp.f32 (neg.f32 (log.f32 v)))
(exp.f32 (*.f32 (log.f32 v) #s(literal -1 binary32)))
(exp.f32 (*.f32 (neg.f32 (log.f32 v)) #s(literal 1 binary32)))
(-.f32 (exp.f32 (log1p.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))
(*.f32 (pow.f32 (cbrt.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)) (cbrt.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))))
(*.f32 (sqrt.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))) (sqrt.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))))
(/.f32 (+.f32 v (*.f32 v (*.f32 sinTheta_O sinTheta_i))) (pow.f32 v #s(literal 2 binary32)))
(/.f32 (-.f32 (pow.f32 v #s(literal -2 binary32)) (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 2 binary32))) (-.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(/.f32 (+.f32 (pow.f32 v #s(literal -3 binary32)) (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 3 binary32))) (+.f32 (pow.f32 v #s(literal -2 binary32)) (-.f32 (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 2 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))))
(pow.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32))
(log.f32 (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))))
(cbrt.f32 (pow.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))))
(log1p.f32 (expm1.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))))
(exp.f32 (log.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))))
(exp.f32 (*.f32 (log.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))) #s(literal 1 binary32)))
(fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))
(fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 #s(literal 1 binary32) v))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(fma.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)) (/.f32 #s(literal 1 binary32) v))
(fma.f32 (*.f32 sinTheta_O sinTheta_i) (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1 binary32) v))
(fma.f32 (cbrt.f32 (pow.f32 v #s(literal -2 binary32))) (/.f32 #s(literal 1 binary32) (cbrt.f32 v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(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))) (/.f32 #s(literal 1 binary32) v))
(fma.f32 (pow.f32 v #s(literal -1/2 binary32)) (pow.f32 v #s(literal -1/2 binary32)) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(fma.f32 (sqrt.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))) (sqrt.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))) (/.f32 #s(literal 1 binary32) v))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))))) #s(literal 1 binary32))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))))
(*.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))))
(*.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1/2 binary32) v))
(*.f32 (cbrt.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))))) (pow.f32 (cbrt.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))))) #s(literal 2 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))))) (sqrt.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))))))
(*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 #s(literal 6931/10000 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))))) #s(literal 2 binary32))) #s(literal 3 binary32)) (cbrt.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))))))
(*.f32 (pow.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))) #s(literal 1/6 binary32)) #s(literal 3 binary32)) (pow.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))) #s(literal 1/6 binary32)) #s(literal 3 binary32)))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))) v)
(log.f32 (pow.f32 (exp.f32 (/.f32 #s(literal 1/2 binary32) v)) (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 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))))))
(cbrt.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 #s(literal 1/2 binary32) v) #s(literal 3 binary32)) (pow.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (exp.f32 (+.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 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))))))
(log1p.f32 (expm1.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))))))
(exp.f32 (+.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))
(exp.f32 (*.f32 (+.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 1 binary32)))

simplify460.0ms (3.8%)

Algorithm
egg-herbie
Rules
928×times-frac
886×*-commutative
762×distribute-lft-in
738×distribute-rgt-in
480×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0151945405
1414742297
Stop Event
node limit
Counts
851 → 797
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)
(exp.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)))
(+.f32 #s(literal 1 binary32) (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) (*.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) #s(literal 2 binary32)) (pow.f32 v #s(literal 2 binary32))))))
(+.f32 #s(literal 1 binary32) (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) #s(literal 3 binary32)) (pow.f32 v #s(literal 3 binary32)))) (*.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O 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 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))) v)))
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))) #s(literal 2 binary32)) v))) (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))) v)))
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))) #s(literal 3 binary32)) v)) (*.f32 #s(literal 1/2 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))) #s(literal 2 binary32)))) v))) (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))) v)))
(exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v)))
(+.f32 (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v))))) v)))
(+.f32 (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 sinTheta_O (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_i (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v)))) v)) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 sinTheta_O (*.f32 (pow.f32 sinTheta_i #s(literal 2 binary32)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v))))) (pow.f32 v #s(literal 2 binary32)))))))
(+.f32 (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 sinTheta_O (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_i (exp.f32 (neg.f32 (/.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 (neg.f32 (/.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 (neg.f32 (/.f32 #s(literal 1 binary32) v)))) (pow.f32 v #s(literal 2 binary32)))))))))
(exp.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v)))
(+.f32 (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v))))) v)))
(+.f32 (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 sinTheta_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v)))) v)) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 2 binary32)) (*.f32 sinTheta_i (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v))))) (pow.f32 v #s(literal 2 binary32)))))))
(+.f32 (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 sinTheta_i (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v)))) v)) (*.f32 sinTheta_i (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) (*.f32 sinTheta_i (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v))))) (pow.f32 v #s(literal 3 binary32)))) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 2 binary32)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v)))) (pow.f32 v #s(literal 2 binary32)))))))))
(exp.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
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(pow.f32 (pow.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32))
(log.f32 (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))))
(cbrt.f32 (pow.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)) #s(literal 3 binary32)))
(expm1.f32 (log1p.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))))
(log1p.f32 (expm1.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))))
(exp.f32 (log.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))))
(exp.f32 (*.f32 (log.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))) #s(literal 1 binary32)))
(fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))
(fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 #s(literal 1 binary32) v))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(fma.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)) (/.f32 #s(literal 1 binary32) v))
(fma.f32 (*.f32 sinTheta_O sinTheta_i) (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1 binary32) v))
(fma.f32 (cbrt.f32 (pow.f32 v #s(literal -2 binary32))) (/.f32 #s(literal 1 binary32) (cbrt.f32 v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(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))) (/.f32 #s(literal 1 binary32) v))
(fma.f32 (pow.f32 v #s(literal -1/2 binary32)) (pow.f32 v #s(literal -1/2 binary32)) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(fma.f32 (sqrt.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))) (sqrt.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))) (/.f32 #s(literal 1 binary32) v))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))))) #s(literal 1 binary32))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))))
(*.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))))
(*.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1/2 binary32) v))
(*.f32 (cbrt.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))))) (pow.f32 (cbrt.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))))) #s(literal 2 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))))) (sqrt.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))))))
(*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 #s(literal 6931/10000 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))))) #s(literal 2 binary32))) #s(literal 3 binary32)) (cbrt.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))))))
(*.f32 (pow.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))) #s(literal 1/6 binary32)) #s(literal 3 binary32)) (pow.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))) #s(literal 1/6 binary32)) #s(literal 3 binary32)))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))) v)
(log.f32 (pow.f32 (exp.f32 (/.f32 #s(literal 1/2 binary32) v)) (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 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))))))
(cbrt.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))) #s(literal 3 binary32)))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 #s(literal 1/2 binary32) v) #s(literal 3 binary32)) (pow.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) #s(literal 3 binary32))))
(cbrt.f32 (*.f32 (pow.f32 (exp.f32 (+.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 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))))))
(log1p.f32 (expm1.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))))))
(exp.f32 (+.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))
(exp.f32 (*.f32 (+.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 1 binary32)))
Outputs
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(exp.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(exp.f32 (/.f32 (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))
(exp.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(exp.f32 (/.f32 (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))
(exp.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(exp.f32 (/.f32 (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))
(exp.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(exp.f32 (/.f32 (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)))
(+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v))
(+.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))
(+.f32 #s(literal 1 binary32) (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) (*.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) #s(literal 2 binary32)) (pow.f32 v #s(literal 2 binary32))))))
(+.f32 #s(literal 1 binary32) (fma.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32)) v) (*.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 v #s(literal 2 binary32))))))
(+.f32 (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) (*.f32 #s(literal 1/2 binary32) (pow.f32 (/.f32 (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32)) v) #s(literal 2 binary32))))
(+.f32 #s(literal 1 binary32) (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) #s(literal 3 binary32)) (pow.f32 v #s(literal 3 binary32)))) (*.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) #s(literal 2 binary32)) (pow.f32 v #s(literal 2 binary32)))))))
(+.f32 #s(literal 1 binary32) (fma.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32)) v) (fma.f32 #s(literal -1/6 binary32) (/.f32 (pow.f32 (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 v #s(literal 3 binary32))) (*.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 v #s(literal 2 binary32)))))))
(+.f32 (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (/.f32 (+.f32 (*.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 sinTheta_O sinTheta_i) #s(literal 1 binary32)) v) #s(literal 2 binary32)))))
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))) v)))
(+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v))
(+.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))) #s(literal 2 binary32)) v))) (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))) v)))
(+.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal 2 binary32)) v)) (*.f32 sinTheta_O (neg.f32 sinTheta_i)))) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (fma.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32)) #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 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))) #s(literal 3 binary32)) v)) (*.f32 #s(literal 1/2 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))) #s(literal 2 binary32)))) v))) (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))) v)))
(+.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (+.f32 #s(literal 1 binary32) (-.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal 3 binary32)) v) (*.f32 #s(literal 1/2 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal 2 binary32)))) v)) (*.f32 sinTheta_O (neg.f32 sinTheta_i)))) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (pow.f32 (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32)) #s(literal 3 binary32)) v) (*.f32 #s(literal 1/2 binary32) (pow.f32 (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32)) #s(literal 2 binary32)))) v)) (*.f32 sinTheta_O sinTheta_i)) v))
(exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v)))
(exp.f32 (/.f32 #s(literal -1 binary32) v))
(+.f32 (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v))))) v)))
(+.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (neg.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) v)))))
(-.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (*.f32 sinTheta_O (*.f32 sinTheta_i (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) v))))
(+.f32 (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 sinTheta_O (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_i (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v)))) v)) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 sinTheta_O (*.f32 (pow.f32 sinTheta_i #s(literal 2 binary32)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v))))) (pow.f32 v #s(literal 2 binary32)))))))
(+.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (*.f32 sinTheta_O (fma.f32 #s(literal -1 binary32) (*.f32 sinTheta_i (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) v)) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 sinTheta_O (pow.f32 sinTheta_i #s(literal 2 binary32))) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (pow.f32 v #s(literal 2 binary32))))))
(+.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (*.f32 sinTheta_O (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 sinTheta_O (pow.f32 sinTheta_i #s(literal 2 binary32))) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (pow.f32 v #s(literal 2 binary32))) (*.f32 sinTheta_i (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) v)))))
(+.f32 (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 sinTheta_O (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_i (exp.f32 (neg.f32 (/.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 (neg.f32 (/.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 (neg.f32 (/.f32 #s(literal 1 binary32) v)))) (pow.f32 v #s(literal 2 binary32)))))))))
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#s(literal 1 binary32)
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(exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(exp.f32 (*.f32 sinTheta_O (/.f32 (neg.f32 sinTheta_i) v)))
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(cbrt.f32 (pow.f32 v #s(literal -3 binary32)))
(pow.f32 (/.f32 v #s(literal 1 binary32)) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) v)
(log.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 #s(literal 1 binary32) v)
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 #s(literal 1 binary32) v)
(cbrt.f32 (pow.f32 v #s(literal -3 binary32)))
(expm1.f32 (log1p.f32 (/.f32 #s(literal 1 binary32) v)))
(log1p.f32 (expm1.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 #s(literal 1 binary32) v)
(exp.f32 (neg.f32 (log.f32 v)))
(/.f32 #s(literal 1 binary32) v)
(exp.f32 (*.f32 (log.f32 v) #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) v)
(exp.f32 (*.f32 (neg.f32 (log.f32 v)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) v)
(-.f32 (exp.f32 (log1p.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))) #s(literal 1 binary32))
(expm1.f32 (log1p.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))))
(expm1.f32 (log1p.f32 (/.f32 (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32)) v)))
(*.f32 #s(literal 1 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))
(/.f32 (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32)) v)
(*.f32 (pow.f32 (cbrt.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)) (cbrt.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))))
(/.f32 (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32)) v)
(*.f32 (sqrt.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))) (sqrt.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))))
(/.f32 (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32)) v)
(/.f32 (+.f32 v (*.f32 v (*.f32 sinTheta_O sinTheta_i))) (pow.f32 v #s(literal 2 binary32)))
(/.f32 (+.f32 v (*.f32 (*.f32 sinTheta_O sinTheta_i) v)) (pow.f32 v #s(literal 2 binary32)))
(/.f32 (*.f32 (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32)) v) (pow.f32 v #s(literal 2 binary32)))
(/.f32 (-.f32 (pow.f32 v #s(literal -2 binary32)) (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 2 binary32))) (-.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(/.f32 (+.f32 (pow.f32 v #s(literal -3 binary32)) (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 3 binary32))) (+.f32 (pow.f32 v #s(literal -2 binary32)) (-.f32 (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 2 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))))
(/.f32 (+.f32 (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 3 binary32)) (pow.f32 v #s(literal -3 binary32))) (-.f32 (+.f32 (pow.f32 v #s(literal -2 binary32)) (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))))
(/.f32 (+.f32 (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 3 binary32)) (pow.f32 v #s(literal -3 binary32))) (-.f32 (+.f32 (pow.f32 v #s(literal -2 binary32)) (pow.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 2 binary32))) (/.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) v)))
(pow.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)) #s(literal 1 binary32))
(/.f32 (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32)) v)
(pow.f32 (cbrt.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))) #s(literal 3 binary32))
(/.f32 (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32)) v)
(pow.f32 (pow.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(/.f32 (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32)) v)
(pow.f32 (sqrt.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32))
(/.f32 (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32)) v)
(log.f32 (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))))
(/.f32 (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32)) v)
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32)) v)
(cbrt.f32 (pow.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)) #s(literal 3 binary32)))
(/.f32 (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32)) v)
(expm1.f32 (log1p.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))))
(expm1.f32 (log1p.f32 (/.f32 (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32)) v)))
(log1p.f32 (expm1.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))))
(/.f32 (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32)) v)
(exp.f32 (log.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))))
(/.f32 (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32)) v)
(exp.f32 (*.f32 (log.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))) #s(literal 1 binary32)))
(/.f32 (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32)) v)
(fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))
(/.f32 (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32)) v)
(fma.f32 (/.f32 sinTheta_i v) sinTheta_O (/.f32 #s(literal 1 binary32) v))
(/.f32 (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32)) v)
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(/.f32 (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32)) v)
(fma.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)) (/.f32 #s(literal 1 binary32) v))
(/.f32 (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32)) v)
(fma.f32 (*.f32 sinTheta_O sinTheta_i) (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1 binary32) v))
(*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32)))
(fma.f32 (cbrt.f32 (pow.f32 v #s(literal -2 binary32))) (/.f32 #s(literal 1 binary32) (cbrt.f32 v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(+.f32 (/.f32 (cbrt.f32 (pow.f32 v #s(literal -2 binary32))) (cbrt.f32 v)) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(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))) (/.f32 #s(literal 1 binary32) v))
(/.f32 (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32)) v)
(fma.f32 (pow.f32 v #s(literal -1/2 binary32)) (pow.f32 v #s(literal -1/2 binary32)) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(/.f32 (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32)) v)
(fma.f32 (sqrt.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))) (sqrt.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))) (/.f32 #s(literal 1 binary32) v))
(/.f32 (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32)) v)
(-.f32 (exp.f32 (log1p.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))))) #s(literal 1 binary32))
(expm1.f32 (log1p.f32 (*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))))
(*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v))
(*.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))))
(*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v))
(*.f32 (exp.f32 (+.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) (/.f32 #s(literal -1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v))
(*.f32 (cbrt.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))))) (pow.f32 (cbrt.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))))) #s(literal 2 binary32)))
(*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v))
(*.f32 (pow.f32 (cbrt.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))))) #s(literal 2 binary32)) (cbrt.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))))))
(*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v))
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))))) (sqrt.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))))))
(*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v))
(*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 #s(literal 6931/10000 binary32)))
(*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v))
(*.f32 (pow.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))))) #s(literal 2 binary32))) #s(literal 3 binary32)) (cbrt.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))))))
(*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v))
(*.f32 (pow.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))) #s(literal 1/6 binary32)) #s(literal 3 binary32)) (pow.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))) #s(literal 1/6 binary32)) #s(literal 3 binary32)))
(*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))) v)
(*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v))
(log.f32 (pow.f32 (exp.f32 (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))))
(*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v))
(log.f32 (+.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))))))
(*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v))
(cbrt.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))) #s(literal 3 binary32)))
(*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 #s(literal 1/2 binary32) v) #s(literal 3 binary32)) (pow.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) #s(literal 3 binary32))))
(*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v))
(cbrt.f32 (*.f32 (pow.f32 (exp.f32 (+.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))))
(*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v))
(expm1.f32 (log1p.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))))))
(expm1.f32 (log1p.f32 (*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v))))
(log1p.f32 (expm1.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))))))
(*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v))
(exp.f32 (+.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))
(*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v))
(exp.f32 (*.f32 (+.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 1 binary32)))
(*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v))

eval168.0ms (1.4%)

Compiler

Compiled 36415 to 5971 computations (83.6% saved)

prune216.0ms (1.8%)

Pruning

20 alts after pruning (12 fresh and 8 done)

PrunedKeptTotal
New123741241
Fresh2810
Picked145
Done044
Total1240201260
Accuracy
99.9%
Counts
1260 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.0%
(pow.f32 (pow.f32 (*.f32 (pow.f32 (sqrt.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
98.9%
(pow.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
99.6%
(pow.f32 (cbrt.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))) #s(literal 3 binary32))
99.7%
(pow.f32 (E.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 1/2 binary32) (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (+.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (*.f32 cosTheta_O (/.f32 (*.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) cosTheta_i) v))))) v)
6.3%
(-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
28.9%
(*.f32 (pow.f32 (pow.f32 (/.f32 #s(literal 1/2 binary32) v) #s(literal 3 binary32)) #s(literal 1/3 binary32)) (sqrt.f32 (pow.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) #s(literal 2 binary32))))
99.7%
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 #s(literal 1 binary32)) (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))))
99.6%
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (E.f32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
99.6%
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 #s(literal 6931/10000 binary32))))
99.5%
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (sqrt.f32 (pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))) #s(literal 2 binary32))))
97.6%
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
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))))
99.6%
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
99.6%
(*.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))
13.5%
(exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))
99.7%
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
99.7%
(exp.f32 (+.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))
99.8%
(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))) (/.f32 #s(literal 1 binary32) v))))
6.5%
#s(literal 1 binary32)
Compiler

Compiled 1044 to 490 computations (53.1% saved)

regimes106.0ms (0.9%)

Counts
41 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)))
(exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 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 -1 binary32) v)))
(exp.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (neg.f32 v)))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (E.f32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(exp.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #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 (*.f32 sinTheta_O sinTheta_i) v)))) v))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal 1 binary32) v))))
(exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(exp.f32 (+.f32 (+.f32 (/.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) v) (*.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 #s(literal 6931/10000 binary32))))
(pow.f32 (E.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 #s(literal 6931/10000 binary32) (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (/.f32 #s(literal 1 binary32) v))))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))) #s(literal 6931/10000 binary32))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 (exp.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v))) (exp.f32 #s(literal 6931/10000 binary32))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 #s(literal 1 binary32)) (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))))
(exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(pow.f32 (cbrt.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (E.f32) (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (sqrt.f32 (pow.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))) #s(literal 2 binary32))))
(pow.f32 (cbrt.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v))))) #s(literal 3 binary32))
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (+.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (*.f32 cosTheta_O (/.f32 (*.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) cosTheta_i) v))))) v)
(pow.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (sqrt.f32 (pow.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) #s(literal 2 binary32))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (cbrt.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)))) #s(literal 3 binary32)))
(pow.f32 (exp.f32 #s(literal 1 binary32)) (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (pow.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) #s(literal 3 binary32)) #s(literal 1/3 binary32)))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 (+.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (neg.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))))) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (neg.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))))) v)) (exp.f32 #s(literal 6931/10000 binary32))))
(/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))) (exp.f32 (/.f32 #s(literal 1 binary32) v)))
(pow.f32 (pow.f32 (*.f32 (pow.f32 (sqrt.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 2 binary32)) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)))) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(*.f32 (pow.f32 (pow.f32 (/.f32 #s(literal 1/2 binary32) v) #s(literal 3 binary32)) #s(literal 1/3 binary32)) (sqrt.f32 (pow.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))) #s(literal 2 binary32))))
Outputs
(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))) (/.f32 #s(literal 1 binary32) v))))
Calls

9 calls:

14.0ms
cosTheta_i
13.0ms
sinTheta_i
11.0ms
(*.f32 cosTheta_i cosTheta_O)
11.0ms
v
11.0ms
(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))
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 78 computations (25.7% saved)

regimes30.0ms (0.2%)

Counts
18 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)))
(exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 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 -1 binary32) v)))
(exp.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (neg.f32 v)))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (E.f32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(exp.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #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 (*.f32 sinTheta_O sinTheta_i) v)))) v))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal 1 binary32) v))))
(exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(exp.f32 (+.f32 (+.f32 (/.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) v) (*.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 #s(literal 6931/10000 binary32))))
(pow.f32 (E.f32) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))
Outputs
(*.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))))
Calls

5 calls:

6.0ms
sinTheta_O
6.0ms
sinTheta_i
6.0ms
cosTheta_i
6.0ms
cosTheta_O
5.0ms
v
Results
AccuracySegmentsBranch
99.7%1cosTheta_i
99.7%1cosTheta_O
99.7%1sinTheta_i
99.7%1sinTheta_O
99.7%1v
Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes22.0ms (0.2%)

Counts
12 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)))
(exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 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 -1 binary32) v)))
(exp.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (neg.f32 v)))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (E.f32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(exp.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #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 (*.f32 sinTheta_O sinTheta_i) v)))) v))
Outputs
(*.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

5 calls:

5.0ms
cosTheta_O
4.0ms
sinTheta_O
4.0ms
cosTheta_i
4.0ms
sinTheta_i
4.0ms
v
Results
AccuracySegmentsBranch
99.6%1cosTheta_i
99.6%1cosTheta_O
99.6%1sinTheta_i
99.6%1sinTheta_O
99.6%1v
Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes21.0ms (0.2%)

Counts
11 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)))
(exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 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 -1 binary32) v)))
(exp.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (neg.f32 v)))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (E.f32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(exp.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) (*.f32 sinTheta_O 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

5 calls:

5.0ms
cosTheta_O
4.0ms
cosTheta_i
4.0ms
sinTheta_i
4.0ms
sinTheta_O
4.0ms
v
Results
AccuracySegmentsBranch
99.6%1cosTheta_i
99.6%1cosTheta_O
99.6%1sinTheta_i
99.6%1sinTheta_O
99.6%1v
Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes17.0ms (0.1%)

Counts
8 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)))
(exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 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 -1 binary32) v)))
(exp.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (neg.f32 v)))
Outputs
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
Calls

5 calls:

4.0ms
sinTheta_i
3.0ms
v
3.0ms
cosTheta_O
3.0ms
sinTheta_O
3.0ms
cosTheta_i
Results
AccuracySegmentsBranch
97.6%1cosTheta_i
97.6%1cosTheta_O
97.6%1sinTheta_i
97.6%1sinTheta_O
97.6%1v
Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes14.0ms (0.1%)

Counts
6 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)))
(exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))
Outputs
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))
Calls

5 calls:

3.0ms
cosTheta_O
3.0ms
cosTheta_i
3.0ms
v
3.0ms
sinTheta_O
3.0ms
sinTheta_i
Results
AccuracySegmentsBranch
97.4%1cosTheta_i
97.4%1cosTheta_O
97.4%1sinTheta_i
97.4%1sinTheta_O
97.4%1v
Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes12.0ms (0.1%)

Counts
5 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)))
(exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))
Outputs
(exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))
Calls

5 calls:

2.0ms
cosTheta_O
2.0ms
v
2.0ms
cosTheta_i
2.0ms
sinTheta_O
2.0ms
sinTheta_i
Results
AccuracySegmentsBranch
13.5%1cosTheta_i
13.5%1sinTheta_i
13.5%1sinTheta_O
13.5%1v
13.5%1cosTheta_O
Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes11.0ms (0.1%)

Accuracy

Total -0.6b remaining (-2%)

Threshold costs -0.6b (-2%)

Counts
4 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)))
Outputs
#s(literal 1 binary32)
Calls

5 calls:

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

Compiled 30 to 25 computations (16.7% saved)

simplify7.0ms (0.1%)

Algorithm
egg-herbie
Rules
34×+-commutative
32×*-commutative
24×sub-neg
16×neg-sub0
16×neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053317
182317
2106317
3130317
4140317
5143317
Stop Event
saturated
Calls
Call 1
Inputs
(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))) (/.f32 #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 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))
(exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))
#s(literal 1 binary32)
Outputs
(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))) (/.f32 #s(literal 1 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))) (/.f32 #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 (*.f32 cosTheta_i cosTheta_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 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 #s(literal -1 binary32) v))))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v))
(exp.f32 (/.f32 (+.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal -1 binary32)) v))
(exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))
(exp.f32 (/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v)))
#s(literal 1 binary32)

soundness1.0s (8.5%)

Rules
1590×exp-diff
1590×fma-define
1500×times-frac
934×times-frac
914×fmm-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0167765577
1458660842
0140665589
1394162768
01732130
14851898
214481854
357471854
Stop Event
fuel
node limit
node limit
node limit
Compiler

Compiled 741 to 257 computations (65.3% saved)

preprocess208.0ms (1.7%)

Remove

(sort sinTheta_i sinTheta_O)

(sort cosTheta_i cosTheta_O)

Compiler

Compiled 940 to 670 computations (28.7% saved)

end0.0ms (0%)

Profiling

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