HairBSDF, Mp, lower

Time bar (total: 13.6s)

analyze733.0ms (5.4%)

Memory
-80.6MiB live, 584.0MiB allocated
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 65 to 44 computations (32.3% saved)

sample3.5s (25.7%)

Memory
43.2MiB live, 3 688.5MiB allocated
Samples
2.3s8 256×0valid
30.0ms148×0invalid
Precisions
Click to see histograms. Total time spent on operations: 1.9s
ival-div: 443.0ms (23.1% of total)
const: 431.0ms (22.5% of total)
ival-<=: 349.0ms (18.2% of total)
ival-sub: 205.0ms (10.7% of total)
ival-mult: 174.0ms (9.1% of total)
ival-log: 102.0ms (5.3% of total)
ival-add: 83.0ms (4.3% of total)
ival-exp: 59.0ms (3.1% of total)
ival-and: 53.0ms (2.8% of total)
exact: 14.0ms (0.7% of total)
ival-assert: 3.0ms (0.2% of total)
Bogosity

preprocess637.0ms (4.7%)

Memory
-18.7MiB live, 374.5MiB allocated
Algorithm
egg-herbie
Rules
6 404×lower-fma.f64
6 404×lower-fma.f32
3 478×lower-*.f64
3 472×lower-*.f32
1 904×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0159481
1462447
21368440
34990440
02125
03423
16322
215122
347122
4171722
5504722
0813419
Stop Event
iter limit
node limit
iter limit
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)))))
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)))))
(/.f32 (exp.f32 (fma.f32 (/.f32 #s(literal -1 binary32) v) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) (fma.f32 cosTheta_i (/.f32 cosTheta_O v) #s(literal 6931/10000 binary32)))) (*.f32 v #s(literal 2 binary32)))
Symmetry

(sort cosTheta_i cosTheta_O)

(sort sinTheta_i sinTheta_O)

explain353.0ms (2.6%)

Memory
-10.3MiB live, 430.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
986(-3.0556297913941077e-18 -1.0405981926247483e-30 -1.8634909788906144e-37 6.348020073875542e-30 1.1628458502166168e-22)33(1.3891216515061184e-35 0.01871912181377411 5.5529680897012985e-33 1.7849758129906412e-12 3.3419705262709154e-13)(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
936(-5.8349611764083e-32 2.3239162711472814e-21 -9.689859530527173e-25 -2.7715488420213173e-31 1.0736874145322872e-7)32(1.0356526497827032e-26 7.170753766979184e-20 -3.4809886149499257e-28 0.003815706353634596 9.590738793419096e-12)(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
43(-8.293396262430044e-25 3.1297470286517637e-6 4.779509162188127e-36 3.963818710340009e-29 0.006437853444367647)4(-0.12400060892105103 1.9077960632348408e-31 -2.998111656805696e-15 7.908541985353346e-13 0.01312267780303955)(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-(/.f32 #s(literal 1 binary32) v)
00-0-(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))
00-0-#s(literal 2 binary32)
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-sinTheta_i
00-0-v
00-0-cosTheta_i
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-sinTheta_O
00-0-(*.f32 #s(literal 2 binary32) v)
00-0-(*.f32 sinTheta_i sinTheta_O)
00-0-(log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))
00-0-#s(literal 1 binary32)
00-0-(*.f32 cosTheta_i cosTheta_O)
00-0-#s(literal 6931/10000 binary32)
00-0-(-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
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-cosTheta_O
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f32(/.f32 (*.f32 cosTheta_i cosTheta_O) v)u/n140
(*.f32 cosTheta_i cosTheta_O)underflow82
/.f32(/.f32 (*.f32 sinTheta_i sinTheta_O) v)u/n90
(*.f32 sinTheta_i sinTheta_O)underflow95
exp.f32(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)))))sensitivity36
Confusion
Predicted +Predicted -
+04
-26226
Precision
0.0
Recall
0.0
Confusion?
Predicted +Predicted MaybePredicted -
+040
-262224
Precision?
0.125
Recall?
1.0
Freqs
test
numberfreq
0230
126
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
103.0ms512×0valid
Compiler

Compiled 330 to 88 computations (73.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 79.0ms
ival-add: 31.0ms (39.2% of total)
ival-div: 14.0ms (17.7% of total)
const: 10.0ms (12.7% of total)
ival-mult: 9.0ms (11.4% of total)
ival-log: 6.0ms (7.6% of total)
ival-exp: 4.0ms (5.1% of total)
ival-sub: 4.0ms (5.1% of total)
ival-true: 1.0ms (1.3% of total)
exact: 1.0ms (1.3% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 5 to 5 computations (0% saved)

prune1.0ms (0%)

Memory
2.1MiB live, 2.1MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(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)))))
Compiler

Compiled 30 to 21 computations (30% saved)

simplify257.0ms (1.9%)

Memory
-15.7MiB live, 446.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff128
(log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))
cost-diff160
(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))
cost-diff320
(-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v))
cost-diff2944
(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)))))
Rules
6 404×lower-fma.f64
6 404×lower-fma.f32
3 478×lower-*.f64
3 472×lower-*.f32
1 904×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
021133
034125
163124
2151124
3471124
41717124
55047124
08134113
Stop Event
iter limit
node limit
iter 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)))))
(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))
(+.f32 (-.f32 (-.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))
(-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v))
(-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(*.f32 cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
v
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(*.f32 sinTheta_i sinTheta_O)
sinTheta_i
sinTheta_O
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
#s(literal 6931/10000 binary32)
(log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))
(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))
(*.f32 #s(literal 2 binary32) v)
#s(literal 2 binary32)
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)))))
(/.f32 (exp.f32 (fma.f32 (/.f32 #s(literal -1 binary32) v) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) (fma.f32 cosTheta_i (/.f32 cosTheta_O v) #s(literal 6931/10000 binary32)))) (*.f32 v #s(literal 2 binary32)))
(+.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))))
(fma.f32 (/.f32 #s(literal -1 binary32) v) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) (-.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) #s(literal 6931/10000 binary32)) (log.f32 (*.f32 v #s(literal 2 binary32)))))
(+.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))
(fma.f32 (/.f32 #s(literal -1 binary32) v) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) (fma.f32 cosTheta_i (/.f32 cosTheta_O v) #s(literal 6931/10000 binary32)))
(-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v))
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) (*.f32 (/.f32 #s(literal -1 binary32) v) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))))
(-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
(fma.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(*.f32 cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
v
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(*.f32 sinTheta_i sinTheta_O)
sinTheta_i
sinTheta_O
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
#s(literal 6931/10000 binary32)
(log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))
(neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))
(/.f32 #s(literal 1/2 binary32) v)
(*.f32 #s(literal 2 binary32) v)
(*.f32 v #s(literal 2 binary32))
#s(literal 2 binary32)

localize98.0ms (0.7%)

Memory
13.6MiB live, 90.5MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy99.8%
(-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
accuracy99.5%
(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)))))
accuracy77.3%
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
accuracy74.3%
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
Samples
76.0ms256×0valid
Compiler

Compiled 135 to 23 computations (83% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
ival-sub: 26.0ms (53.9% of total)
ival-div: 7.0ms (14.5% of total)
ival-mult: 4.0ms (8.3% of total)
const: 4.0ms (8.3% of total)
ival-log: 3.0ms (6.2% of total)
ival-exp: 2.0ms (4.1% of total)
ival-add: 2.0ms (4.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series44.0ms (0.3%)

Memory
-11.0MiB live, 28.3MiB allocated
Counts
4 → 192
Calls
Call 1
Inputs
#<alt (/.f32 (*.f32 sinTheta_i sinTheta_O) v)>
#<alt (/.f32 (*.f32 cosTheta_i cosTheta_O) v)>
#<alt (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)))))>
#<alt (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))>
Outputs
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (/ (* cosTheta_O (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) v))>
#<alt (+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_O (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))>
#<alt (+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_O (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (/ (* cosTheta_O (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) v))>
#<alt (+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))>
#<alt (+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v)))))>
#<alt (+ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v))>
#<alt (+ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (+ (* 1/2 (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (pow v 2))) (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v)))>
#<alt (+ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (+ (* 1/6 (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3)) (pow v 3))) (+ (* 1/2 (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (pow v 2))) (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v))))>
#<alt (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v)))))>
#<alt (+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i)))) v)))>
#<alt (+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (+ (* -1/2 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) 2)) v)) (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))))) v)))>
#<alt (+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) 3)) v)) (* 1/2 (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) 2)))) v)) (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))))) v)))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))>
#<alt (+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) v)))>
#<alt (+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 2))))))>
#<alt (+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (pow v 2))))))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))>
#<alt (+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) v)))>
#<alt (+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 2))))))>
#<alt (+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (pow v 2))))))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (- (/ (* cosTheta_O cosTheta_i) v) (/ (* sinTheta_O sinTheta_i) v))>
#<alt (- (/ (* cosTheta_O cosTheta_i) v) (/ (* sinTheta_O sinTheta_i) v))>
#<alt (- (/ (* cosTheta_O cosTheta_i) v) (/ (* sinTheta_O sinTheta_i) v))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* cosTheta_i (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ cosTheta_O v)))>
#<alt (* cosTheta_i (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ cosTheta_O v)))>
#<alt (* cosTheta_i (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ cosTheta_O v)))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))>
#<alt (* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))>
#<alt (* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (- (/ (* cosTheta_O cosTheta_i) v) (/ (* sinTheta_O sinTheta_i) v))>
#<alt (- (/ (* cosTheta_O cosTheta_i) v) (/ (* sinTheta_O sinTheta_i) v))>
#<alt (- (/ (* cosTheta_O cosTheta_i) v) (/ (* sinTheta_O sinTheta_i) v))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* cosTheta_O (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v)))>
#<alt (* cosTheta_O (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v)))>
#<alt (* cosTheta_O (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v)))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))>
#<alt (* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))>
#<alt (* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))>
#<alt (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)>
#<alt (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)>
#<alt (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)>
#<alt (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)>
#<alt (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)>
#<alt (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)>
#<alt (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)>
#<alt (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)>
#<alt (* -1 (/ (- (* -1 (* cosTheta_O cosTheta_i)) (* -1 (* sinTheta_O sinTheta_i))) v))>
#<alt (* -1 (/ (- (* -1 (* cosTheta_O cosTheta_i)) (* -1 (* sinTheta_O sinTheta_i))) v))>
#<alt (* -1 (/ (- (* -1 (* cosTheta_O cosTheta_i)) (* -1 (* sinTheta_O sinTheta_i))) v))>
#<alt (* -1 (/ (- (* -1 (* cosTheta_O cosTheta_i)) (* -1 (* sinTheta_O sinTheta_i))) v))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)) (/ sinTheta_O v)))>
#<alt (* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)) (/ sinTheta_O v)))>
#<alt (* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)) (/ sinTheta_O v)))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (* sinTheta_i (- (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (* -1 (/ sinTheta_O v)))))>
#<alt (* -1 (* sinTheta_i (- (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (* -1 (/ sinTheta_O v)))))>
#<alt (* -1 (* sinTheta_i (- (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (* -1 (/ sinTheta_O v)))))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)) (/ sinTheta_i v)))>
#<alt (* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)) (/ sinTheta_i v)))>
#<alt (* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)) (/ sinTheta_i v)))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (* sinTheta_O (- (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (* -1 (/ sinTheta_i v)))))>
#<alt (* -1 (* sinTheta_O (- (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (* -1 (/ sinTheta_i v)))))>
#<alt (* -1 (* sinTheta_O (- (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (* -1 (/ sinTheta_i v)))))>
Calls

48 calls:

TimeVariablePointExpression
23.0ms
cosTheta_O
@inf
(exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))
2.0ms
cosTheta_i
@0
(exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))
1.0ms
cosTheta_i
@0
(/ (* cosTheta_i cosTheta_O) v)
1.0ms
sinTheta_O
@0
(exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))
1.0ms
sinTheta_O
@0
(/ (* sinTheta_i sinTheta_O) v)

rewrite359.0ms (2.6%)

Memory
30.3MiB live, 735.0MiB allocated
Algorithm
batch-egg-rewrite
Rules
9 370×lower-fma.f64
9 370×lower-fma.f32
4 860×lower-/.f64
4 852×lower-/.f32
3 374×lower-*.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02146
03440
114737
2150737
0824537
Stop Event
iter limit
node limit
iter limit
Counts
4 → 253
Calls
Call 1
Inputs
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
Outputs
(neg.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(exp.f32 (*.f32 (log.f32 (/.f32 v (*.f32 sinTheta_i sinTheta_O))) #s(literal -1 binary32)))
(pow.f32 (/.f32 v (*.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32))
(-.f32 #s(literal 0 binary32) (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 v)) (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(/.f32 sinTheta_i (/.f32 v sinTheta_O))
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 (neg.f32 v)))
(/.f32 #s(literal 1 binary32) (/.f32 v (*.f32 sinTheta_i sinTheta_O)))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 v (*.f32 sinTheta_i sinTheta_O)))))
(/.f32 #s(literal 1 binary32) (/.f32 v (*.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 v) (*.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal -1 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 v (*.f32 sinTheta_i sinTheta_O))))
(/.f32 (neg.f32 (*.f32 sinTheta_i sinTheta_O)) (neg.f32 v))
(/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) v)
(/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) (neg.f32 (neg.f32 v)))
(/.f32 (neg.f32 (neg.f32 (*.f32 sinTheta_i sinTheta_O))) (neg.f32 (neg.f32 v)))
(/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal -1 binary32)) (neg.f32 v))
(/.f32 (neg.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) (neg.f32 v))
(/.f32 (neg.f32 (neg.f32 (neg.f32 (*.f32 sinTheta_i sinTheta_O)))) (neg.f32 (neg.f32 (neg.f32 v))))
(/.f32 (neg.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal -1 binary32))) (neg.f32 (neg.f32 v)))
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(*.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 #s(literal 1 binary32) v))
(*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
(*.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 sinTheta_i sinTheta_O))
(*.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)))
(*.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(*.f32 (neg.f32 (*.f32 sinTheta_i sinTheta_O)) (/.f32 #s(literal -1 binary32) v))
(*.f32 (/.f32 sinTheta_O v) sinTheta_i)
(*.f32 (/.f32 sinTheta_O v) (/.f32 sinTheta_i #s(literal 1 binary32)))
(*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) v))
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(/.f32 (neg.f32 (neg.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)))) (neg.f32 (neg.f32 v)))
(/.f32 (neg.f32 (neg.f32 (fma.f32 v (*.f32 cosTheta_i cosTheta_O) (*.f32 (neg.f32 v) (*.f32 sinTheta_i sinTheta_O))))) (neg.f32 (neg.f32 (*.f32 v v))))
(/.f32 (neg.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 cosTheta_i cosTheta_O)) (*.f32 (neg.f32 (*.f32 sinTheta_i sinTheta_O)) (*.f32 (*.f32 sinTheta_i sinTheta_O) (*.f32 sinTheta_i sinTheta_O)))) (*.f32 v (*.f32 v v))))) (neg.f32 (neg.f32 (fma.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (neg.f32 (*.f32 sinTheta_i sinTheta_O))) v) (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 cosTheta_i cosTheta_O)) (*.f32 v v))))))
(/.f32 (neg.f32 (neg.f32 (/.f32 (-.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 cosTheta_i cosTheta_O)) (*.f32 (*.f32 sinTheta_i sinTheta_O) (*.f32 sinTheta_i sinTheta_O))) (*.f32 v v)))) (neg.f32 (neg.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (neg.f32 (*.f32 sinTheta_i sinTheta_O))) v))))
(/.f32 (neg.f32 (/.f32 (fma.f32 v (*.f32 cosTheta_i cosTheta_O) (*.f32 (neg.f32 v) (*.f32 sinTheta_i sinTheta_O))) v)) (neg.f32 v))
(/.f32 (+.f32 (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) (*.f32 (*.f32 sinTheta_i sinTheta_O) (*.f32 sinTheta_i sinTheta_O))) (neg.f32 (*.f32 v (*.f32 v v)))) (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 cosTheta_i cosTheta_O))) (*.f32 v (*.f32 v v)))) (+.f32 (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) (*.f32 sinTheta_i sinTheta_O)) (*.f32 v v)) (-.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 cosTheta_i cosTheta_O)) (*.f32 v v)) (*.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))))
(/.f32 (-.f32 (pow.f32 (/.f32 (*.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 v v)) #s(literal 3 binary32)) (pow.f32 (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) v) (*.f32 v v)) #s(literal 3 binary32))) (fma.f32 (/.f32 (*.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 v v)) (/.f32 (*.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 v v)) (fma.f32 (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) v) (*.f32 v v)) (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) v) (*.f32 v v)) (*.f32 (/.f32 (*.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 v v)) (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) v) (*.f32 v v))))))
(/.f32 (-.f32 (pow.f32 (/.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 cosTheta_i cosTheta_O))) (*.f32 v (*.f32 v v))) (fma.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (neg.f32 (*.f32 sinTheta_i sinTheta_O))) v) (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 cosTheta_i cosTheta_O)) (*.f32 v v)))) #s(literal 3 binary32)) (pow.f32 (/.f32 (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) (*.f32 (*.f32 sinTheta_i sinTheta_O) (*.f32 sinTheta_i sinTheta_O))) (*.f32 v (*.f32 v v))) (fma.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (neg.f32 (*.f32 sinTheta_i sinTheta_O))) v) (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 cosTheta_i cosTheta_O)) (*.f32 v v)))) #s(literal 3 binary32))) (fma.f32 (/.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 cosTheta_i cosTheta_O))) (*.f32 v (*.f32 v v))) (fma.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (neg.f32 (*.f32 sinTheta_i sinTheta_O))) v) (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 cosTheta_i cosTheta_O)) (*.f32 v v)))) (/.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 cosTheta_i cosTheta_O))) (*.f32 v (*.f32 v v))) (fma.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (neg.f32 (*.f32 sinTheta_i sinTheta_O))) v) (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 cosTheta_i cosTheta_O)) (*.f32 v v)))) (fma.f32 (/.f32 (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) (*.f32 (*.f32 sinTheta_i sinTheta_O) (*.f32 sinTheta_i sinTheta_O))) (*.f32 v (*.f32 v v))) (fma.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (neg.f32 (*.f32 sinTheta_i sinTheta_O))) v) (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 cosTheta_i cosTheta_O)) (*.f32 v v)))) (/.f32 (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) (*.f32 (*.f32 sinTheta_i sinTheta_O) (*.f32 sinTheta_i sinTheta_O))) (*.f32 v (*.f32 v v))) (fma.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (neg.f32 (*.f32 sinTheta_i sinTheta_O))) v) (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 cosTheta_i cosTheta_O)) (*.f32 v v)))) (*.f32 (/.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 cosTheta_i cosTheta_O))) (*.f32 v (*.f32 v v))) (fma.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (neg.f32 (*.f32 sinTheta_i sinTheta_O))) v) (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 cosTheta_i cosTheta_O)) (*.f32 v v)))) (/.f32 (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) (*.f32 (*.f32 sinTheta_i sinTheta_O) (*.f32 sinTheta_i sinTheta_O))) (*.f32 v (*.f32 v v))) (fma.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (neg.f32 (*.f32 sinTheta_i sinTheta_O))) v) (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 cosTheta_i cosTheta_O)) (*.f32 v v))))))))
(/.f32 (-.f32 (pow.f32 (*.f32 (*.f32 cosTheta_i v) (/.f32 (*.f32 (/.f32 cosTheta_O v) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)))) #s(literal 3 binary32)) (pow.f32 (/.f32 (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) (*.f32 sinTheta_i sinTheta_O)) (*.f32 v v)) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (neg.f32 (*.f32 sinTheta_i sinTheta_O))) v)) #s(literal 3 binary32))) (fma.f32 (*.f32 (*.f32 cosTheta_i v) (/.f32 (*.f32 (/.f32 cosTheta_O v) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)))) (*.f32 (*.f32 cosTheta_i v) (/.f32 (*.f32 (/.f32 cosTheta_O v) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)))) (fma.f32 (/.f32 (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) (*.f32 sinTheta_i sinTheta_O)) (*.f32 v v)) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (neg.f32 (*.f32 sinTheta_i sinTheta_O))) v)) (/.f32 (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) (*.f32 sinTheta_i sinTheta_O)) (*.f32 v v)) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (neg.f32 (*.f32 sinTheta_i sinTheta_O))) v)) (*.f32 (*.f32 (*.f32 cosTheta_i v) (/.f32 (*.f32 (/.f32 cosTheta_O v) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O)))) (/.f32 (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) (*.f32 sinTheta_i sinTheta_O)) (*.f32 v v)) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (neg.f32 (*.f32 sinTheta_i sinTheta_O))) v))))))
(*.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v))
(*.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)))
(*.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) (/.f32 #s(literal 1 binary32) v))
(*.f32 (fma.f32 v (*.f32 cosTheta_i cosTheta_O) (*.f32 (neg.f32 v) (*.f32 sinTheta_i sinTheta_O))) (/.f32 #s(literal 1 binary32) (*.f32 v v)))
(*.f32 (/.f32 (fma.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 cosTheta_i cosTheta_O)) (*.f32 (neg.f32 (*.f32 sinTheta_i sinTheta_O)) (*.f32 (*.f32 sinTheta_i sinTheta_O) (*.f32 sinTheta_i sinTheta_O)))) (*.f32 v (*.f32 v v))) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (neg.f32 (*.f32 sinTheta_i sinTheta_O))) v) (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 cosTheta_i cosTheta_O)) (*.f32 v v)))))
(*.f32 (/.f32 (fma.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 cosTheta_i cosTheta_O)) (*.f32 (neg.f32 (*.f32 sinTheta_i sinTheta_O)) (*.f32 (*.f32 sinTheta_i sinTheta_O) (*.f32 sinTheta_i sinTheta_O)))) (*.f32 v (*.f32 v v))) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 cosTheta_i cosTheta_O)) (*.f32 v v)) (-.f32 (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) (*.f32 sinTheta_i sinTheta_O)) (*.f32 v v)) (*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))))))
(*.f32 (/.f32 (-.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 cosTheta_i cosTheta_O)) (*.f32 (*.f32 sinTheta_i sinTheta_O) (*.f32 sinTheta_i sinTheta_O))) (*.f32 v v)) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (neg.f32 (*.f32 sinTheta_i sinTheta_O))) v)))
(*.f32 (-.f32 (neg.f32 (*.f32 cosTheta_i cosTheta_O)) (neg.f32 (*.f32 sinTheta_i sinTheta_O))) (/.f32 #s(literal -1 binary32) v))
(*.f32 (*.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (neg.f32 (*.f32 sinTheta_i sinTheta_O))) v) v) (/.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i sinTheta_O))))
(*.f32 (fma.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 v (*.f32 sinTheta_i sinTheta_O)) (neg.f32 v)) (/.f32 #s(literal 1 binary32) (*.f32 v (/.f32 v (*.f32 sinTheta_i sinTheta_O)))))
(*.f32 (-.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (neg.f32 v)) (*.f32 v (neg.f32 (*.f32 sinTheta_i sinTheta_O)))) (/.f32 #s(literal 1 binary32) (*.f32 v (neg.f32 v))))
(*.f32 (-.f32 v (*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 sinTheta_i sinTheta_O))) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) v)))
(*.f32 (-.f32 (/.f32 v (*.f32 sinTheta_i sinTheta_O)) (/.f32 v (*.f32 cosTheta_i cosTheta_O))) (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) (*.f32 v v)))
(*.f32 (-.f32 (*.f32 #s(literal 1 binary32) (neg.f32 v)) (*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (neg.f32 (*.f32 sinTheta_i sinTheta_O)))) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (neg.f32 v))))
(*.f32 (-.f32 (*.f32 (neg.f32 (*.f32 cosTheta_i cosTheta_O)) v) (*.f32 (neg.f32 v) (*.f32 sinTheta_i sinTheta_O))) (/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 v) v)))
(*.f32 (fma.f32 (neg.f32 (*.f32 cosTheta_i cosTheta_O)) (/.f32 v (*.f32 sinTheta_i sinTheta_O)) (neg.f32 (*.f32 (neg.f32 v) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 v) (/.f32 v (*.f32 sinTheta_i sinTheta_O)))))
(*.f32 (-.f32 (*.f32 (neg.f32 (*.f32 cosTheta_i cosTheta_O)) (neg.f32 v)) (*.f32 (neg.f32 v) (neg.f32 (*.f32 sinTheta_i sinTheta_O)))) (/.f32 #s(literal 1 binary32) (*.f32 v v)))
(*.f32 (neg.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))) (/.f32 #s(literal -1 binary32) v))
(*.f32 (neg.f32 (fma.f32 v (*.f32 cosTheta_i cosTheta_O) (*.f32 (neg.f32 v) (*.f32 sinTheta_i sinTheta_O)))) (/.f32 #s(literal 1 binary32) (neg.f32 (*.f32 v v))))
(*.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 cosTheta_i cosTheta_O)) (*.f32 (neg.f32 (*.f32 sinTheta_i sinTheta_O)) (*.f32 (*.f32 sinTheta_i sinTheta_O) (*.f32 sinTheta_i sinTheta_O)))) (*.f32 v (*.f32 v v)))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (neg.f32 (*.f32 sinTheta_i sinTheta_O))) v) (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 cosTheta_i cosTheta_O)) (*.f32 v v))))))
(*.f32 (neg.f32 (/.f32 (-.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 cosTheta_i cosTheta_O)) (*.f32 (*.f32 sinTheta_i sinTheta_O) (*.f32 sinTheta_i sinTheta_O))) (*.f32 v v))) (/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (neg.f32 (*.f32 sinTheta_i sinTheta_O))) v))))
(*.f32 (/.f32 (fma.f32 v (*.f32 cosTheta_i cosTheta_O) (*.f32 (neg.f32 v) (*.f32 sinTheta_i sinTheta_O))) v) (/.f32 #s(literal 1 binary32) v))

simplify477.0ms (3.5%)

Memory
-11.2MiB live, 746.0MiB allocated
Algorithm
egg-herbie
Rules
7 580×lower-fma.f64
7 580×lower-fma.f32
6 914×lower-*.f64
6 914×lower-*.f32
3 806×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02323112
17343068
226712783
081002671
Stop Event
iter limit
node limit
Counts
192 → 192
Calls
Call 1
Inputs
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (/ (* cosTheta_O (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) v))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_O (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_O (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (/ (* cosTheta_O (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) v))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v)))))
(+ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v))
(+ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (+ (* 1/2 (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (pow v 2))) (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v)))
(+ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (+ (* 1/6 (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3)) (pow v 3))) (+ (* 1/2 (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (pow v 2))) (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v))))
(exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v)))))
(+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i)))) v)))
(+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (+ (* -1/2 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) 2)) v)) (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))))) v)))
(+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) 3)) v)) (* 1/2 (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) 2)))) v)) (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))))) v)))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) v)))
(+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 2))))))
(+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (pow v 2))))))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) v)))
(+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 2))))))
(+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (pow v 2))))))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(- (/ (* cosTheta_O cosTheta_i) v) (/ (* sinTheta_O sinTheta_i) v))
(- (/ (* cosTheta_O cosTheta_i) v) (/ (* sinTheta_O sinTheta_i) v))
(- (/ (* cosTheta_O cosTheta_i) v) (/ (* sinTheta_O sinTheta_i) v))
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_i (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ cosTheta_O v)))
(* cosTheta_i (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ cosTheta_O v)))
(* cosTheta_i (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ cosTheta_O v)))
(/ (* cosTheta_O cosTheta_i) v)
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(- (/ (* cosTheta_O cosTheta_i) v) (/ (* sinTheta_O sinTheta_i) v))
(- (/ (* cosTheta_O cosTheta_i) v) (/ (* sinTheta_O sinTheta_i) v))
(- (/ (* cosTheta_O cosTheta_i) v) (/ (* sinTheta_O sinTheta_i) v))
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_O (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v)))
(* cosTheta_O (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v)))
(* cosTheta_O (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v)))
(/ (* cosTheta_O cosTheta_i) v)
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)
(/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)
(/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)
(/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)
(/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)
(/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)
(/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)
(/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)
(* -1 (/ (- (* -1 (* cosTheta_O cosTheta_i)) (* -1 (* sinTheta_O sinTheta_i))) v))
(* -1 (/ (- (* -1 (* cosTheta_O cosTheta_i)) (* -1 (* sinTheta_O sinTheta_i))) v))
(* -1 (/ (- (* -1 (* cosTheta_O cosTheta_i)) (* -1 (* sinTheta_O sinTheta_i))) v))
(* -1 (/ (- (* -1 (* cosTheta_O cosTheta_i)) (* -1 (* sinTheta_O sinTheta_i))) v))
(/ (* cosTheta_O cosTheta_i) v)
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)) (/ sinTheta_O v)))
(* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)) (/ sinTheta_O v)))
(* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)) (/ sinTheta_O v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (* sinTheta_i (- (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (* -1 (/ sinTheta_O v)))))
(* -1 (* sinTheta_i (- (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (* -1 (/ sinTheta_O v)))))
(* -1 (* sinTheta_i (- (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (* -1 (/ sinTheta_O v)))))
(/ (* cosTheta_O cosTheta_i) v)
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)) (/ sinTheta_i v)))
(* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)) (/ sinTheta_i v)))
(* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)) (/ sinTheta_i v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (* sinTheta_O (- (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (* -1 (/ sinTheta_i v)))))
(* -1 (* sinTheta_O (- (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (* -1 (/ sinTheta_i v)))))
(* -1 (* sinTheta_O (- (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (* -1 (/ sinTheta_i v)))))
Outputs
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) 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)) (/.f32 #s(literal -1 binary32) v)))))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (/ (* cosTheta_O (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) v))
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(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_O (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
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(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_O (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
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(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v)))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
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(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v)))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
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(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
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(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
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(exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
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(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (/ (* cosTheta_O (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) v))
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(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
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(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
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(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v)))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v)))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v)))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
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(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
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(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
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(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
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(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
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(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
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(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
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(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
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(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
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(exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v)))))
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(+ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (+ (* 1/6 (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3)) (pow v 3))) (+ (* 1/2 (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (pow v 2))) (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v))))
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(exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v)))))
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(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(*.f32 cosTheta_O (-.f32 (/.f32 cosTheta_i v) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 v cosTheta_O))))
(/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)
(/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v)
(/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)
(/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v)
(/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)
(/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v)
(/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)
(/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v)
(/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)
(/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v)
(/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)
(/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v)
(/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)
(/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v)
(/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)
(/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v)
(* -1 (/ (- (* -1 (* cosTheta_O cosTheta_i)) (* -1 (* sinTheta_O sinTheta_i))) v))
(/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v)
(* -1 (/ (- (* -1 (* cosTheta_O cosTheta_i)) (* -1 (* sinTheta_O sinTheta_i))) v))
(/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v)
(* -1 (/ (- (* -1 (* cosTheta_O cosTheta_i)) (* -1 (* sinTheta_O sinTheta_i))) v))
(/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v)
(* -1 (/ (- (* -1 (* cosTheta_O cosTheta_i)) (* -1 (* sinTheta_O sinTheta_i))) v))
(/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v)
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v)
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v)
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v)
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v)
(* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)) (/ sinTheta_O v)))
(*.f32 sinTheta_i (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i v)) (/.f32 sinTheta_O v)))
(* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)) (/ sinTheta_O v)))
(*.f32 sinTheta_i (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i v)) (/.f32 sinTheta_O v)))
(* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)) (/ sinTheta_O v)))
(*.f32 sinTheta_i (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i v)) (/.f32 sinTheta_O v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v)
(* -1 (* sinTheta_i (- (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (* -1 (/ sinTheta_O v)))))
(*.f32 sinTheta_i (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i v)) (/.f32 sinTheta_O v)))
(* -1 (* sinTheta_i (- (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (* -1 (/ sinTheta_O v)))))
(*.f32 sinTheta_i (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i v)) (/.f32 sinTheta_O v)))
(* -1 (* sinTheta_i (- (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (* -1 (/ sinTheta_O v)))))
(*.f32 sinTheta_i (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i v)) (/.f32 sinTheta_O v)))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v)
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v)
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v)
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v)
(* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)) (/ sinTheta_i v)))
(*.f32 sinTheta_O (fma.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 sinTheta_O v)) (/.f32 sinTheta_i (neg.f32 v))))
(* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)) (/ sinTheta_i v)))
(*.f32 sinTheta_O (fma.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 sinTheta_O v)) (/.f32 sinTheta_i (neg.f32 v))))
(* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)) (/ sinTheta_i v)))
(*.f32 sinTheta_O (fma.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 sinTheta_O v)) (/.f32 sinTheta_i (neg.f32 v))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v)
(* -1 (* sinTheta_O (- (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (* -1 (/ sinTheta_i v)))))
(*.f32 sinTheta_O (fma.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 sinTheta_O v)) (/.f32 sinTheta_i (neg.f32 v))))
(* -1 (* sinTheta_O (- (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (* -1 (/ sinTheta_i v)))))
(*.f32 sinTheta_O (fma.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 sinTheta_O v)) (/.f32 sinTheta_i (neg.f32 v))))
(* -1 (* sinTheta_O (- (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (* -1 (/ sinTheta_i v)))))
(*.f32 sinTheta_O (fma.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 sinTheta_O v)) (/.f32 sinTheta_i (neg.f32 v))))

eval50.0ms (0.4%)

Memory
4.9MiB live, 136.7MiB allocated
Compiler

Compiled 14 233 to 1 792 computations (87.4% saved)

prune53.0ms (0.4%)

Memory
-7.5MiB live, 151.4MiB allocated
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New4405445
Fresh000
Picked101
Done000
Total4415446
Accuracy
99.7%
Counts
446 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
86.0%
(/.f32 (exp.f32 (+.f32 (neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v))) (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
99.3%
(*.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 v #s(literal 2 binary32))) (exp.f32 (/.f32 (+.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v)))
4.7%
(*.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))))
99.6%
(*.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)) (/.f32 #s(literal -1 binary32) v)))))
99.5%
(exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
Compiler

Compiled 208 to 164 computations (21.2% saved)

simplify253.0ms (1.9%)

Memory
-24.0MiB live, 469.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32))))
cost-diff64
(+.f32 (neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v))
cost-diff2944
(exp.f32 (+.f32 (neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)))
cost-diff3872
(/.f32 (exp.f32 (+.f32 (neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v))) (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
cost-diff0
(exp.f32 #s(literal 6931/10000 binary32))
cost-diff0
(/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 v #s(literal 2 binary32)))
cost-diff64
(+.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32))
cost-diff3264
(*.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 v #s(literal 2 binary32))) (exp.f32 (/.f32 (+.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v)))
cost-diff0
(/.f32 #s(literal 1/2 binary32) v)
cost-diff64
(+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
cost-diff128
(log.f32 (/.f32 #s(literal 1/2 binary32) v))
cost-diff2944
(exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
cost-diff0
(exp.f32 #s(literal 6931/10000 binary32))
cost-diff0
(*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32)))
cost-diff0
(/.f32 #s(literal 1 binary32) v)
cost-diff160
(*.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))))
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 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v)))))
cost-diff64
(+.f32 #s(literal 6931/10000 binary32) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v)))
cost-diff96
(*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v))
Rules
6 506×lower-fma.f64
6 502×lower-fma.f32
3 536×lower-*.f64
3 520×lower-*.f32
2 476×lower-/.f64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
045333
081330
1140316
2283311
3670311
41892308
54900308
67753308
08284308
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.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)) (/.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 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v))))
(+.f32 #s(literal 6931/10000 binary32) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v)))
#s(literal 6931/10000 binary32)
(*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v))
(fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))
sinTheta_O
sinTheta_i
#s(literal 1 binary32)
(/.f32 #s(literal -1 binary32) v)
#s(literal -1 binary32)
(*.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))))
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
v
(*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32)))
#s(literal 1/2 binary32)
(exp.f32 #s(literal 6931/10000 binary32))
#s(literal 6931/10000 binary32)
(exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(log.f32 (/.f32 #s(literal 1/2 binary32) v))
(/.f32 #s(literal 1/2 binary32) v)
#s(literal 1/2 binary32)
v
(+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
#s(literal 6931/10000 binary32)
(/.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)
(*.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 v #s(literal 2 binary32))) (exp.f32 (/.f32 (+.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v)))
(/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 v #s(literal 2 binary32)))
(exp.f32 #s(literal 6931/10000 binary32))
#s(literal 6931/10000 binary32)
(*.f32 v #s(literal 2 binary32))
v
#s(literal 2 binary32)
(exp.f32 (/.f32 (+.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v))
(/.f32 (+.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v)
(+.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32))
(-.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
#s(literal -1 binary32)
(/.f32 (exp.f32 (+.f32 (neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v))) (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
(exp.f32 (+.f32 (neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)))
(+.f32 (neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v))
(neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32))))
(log.f32 (*.f32 v #s(literal 2 binary32)))
(*.f32 v #s(literal 2 binary32))
v
#s(literal 2 binary32)
(/.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
(exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))
(+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
#s(literal -6931/10000 binary32)
Outputs
(*.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)) (/.f32 #s(literal -1 binary32) v)))))
(/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (*.f32 v #s(literal 2 binary32)))
(/.f32 #s(literal 1/2 binary32) v)
#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)) (/.f32 #s(literal -1 binary32) v))))
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
(+.f32 #s(literal 6931/10000 binary32) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v)))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))
#s(literal 6931/10000 binary32)
(*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v))
(/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32)) v)
(fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))
sinTheta_O
sinTheta_i
#s(literal 1 binary32)
(/.f32 #s(literal -1 binary32) v)
#s(literal -1 binary32)
(*.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) v)
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
v
(*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32)))
#s(literal 1/2 binary32)
(exp.f32 #s(literal 6931/10000 binary32))
#s(literal 6931/10000 binary32)
(exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) (*.f32 v #s(literal 2 binary32)))
(+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (log.f32 (*.f32 v #s(literal 2 binary32))))
(log.f32 (/.f32 #s(literal 1/2 binary32) v))
(neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32))))
(/.f32 #s(literal 1/2 binary32) v)
#s(literal 1/2 binary32)
v
(+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
#s(literal 6931/10000 binary32)
(/.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)
(*.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 v #s(literal 2 binary32))) (exp.f32 (/.f32 (+.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v)))
(/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))) (*.f32 v #s(literal 2 binary32)))
(/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 v #s(literal 2 binary32)))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) v)
(exp.f32 #s(literal 6931/10000 binary32))
#s(literal 6931/10000 binary32)
(*.f32 v #s(literal 2 binary32))
v
#s(literal 2 binary32)
(exp.f32 (/.f32 (+.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(/.f32 (+.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v)
(/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v)
(+.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32))
(fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)))
(-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))
(fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i)))
(*.f32 cosTheta_i cosTheta_O)
(*.f32 cosTheta_O cosTheta_i)
cosTheta_i
cosTheta_O
(*.f32 sinTheta_i sinTheta_O)
(*.f32 sinTheta_O sinTheta_i)
sinTheta_i
sinTheta_O
#s(literal -1 binary32)
(/.f32 (exp.f32 (+.f32 (neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v))) (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
(/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))) (*.f32 v #s(literal 2 binary32)))
(exp.f32 (+.f32 (neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)))
(/.f32 #s(literal 1/2 binary32) (*.f32 v (exp.f32 (/.f32 (fma.f32 cosTheta_O (neg.f32 cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v))))
(+.f32 (neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v))
(-.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v) (log.f32 (*.f32 v #s(literal 2 binary32))))
(neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32))))
(log.f32 (*.f32 v #s(literal 2 binary32)))
(*.f32 v #s(literal 2 binary32))
v
#s(literal 2 binary32)
(/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)
(/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v)
(-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))
(fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i)))
(*.f32 cosTheta_i cosTheta_O)
(*.f32 cosTheta_O cosTheta_i)
cosTheta_i
cosTheta_O
(*.f32 sinTheta_i sinTheta_O)
(*.f32 sinTheta_O sinTheta_i)
sinTheta_i
sinTheta_O
(exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))
(+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
#s(literal -6931/10000 binary32)

localize184.0ms (1.4%)

Memory
24.6MiB live, 338.8MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy99.6%
(exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))
accuracy94.0%
(exp.f32 (+.f32 (neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)))
accuracy93.9%
(/.f32 (exp.f32 (+.f32 (neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v))) (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
accuracy87.2%
(/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)
accuracy99.8%
(-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))
accuracy99.6%
(exp.f32 (/.f32 (+.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v))
accuracy99.6%
(*.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 v #s(literal 2 binary32))) (exp.f32 (/.f32 (+.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v)))
accuracy99.0%
(/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 v #s(literal 2 binary32)))
accuracy100.0%
(log.f32 (/.f32 #s(literal 1/2 binary32) v))
accuracy99.9%
(+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
accuracy99.8%
(+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
accuracy99.5%
(exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
accuracy100.0%
(/.f32 #s(literal 1 binary32) v)
accuracy100.0%
(*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32)))
accuracy100.0%
(exp.f32 #s(literal 6931/10000 binary32))
accuracy99.0%
(*.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))))
accuracy100.0%
(*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v))
accuracy100.0%
(*.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)) (/.f32 #s(literal -1 binary32) v)))))
accuracy99.8%
(+.f32 #s(literal 6931/10000 binary32) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v)))
accuracy99.6%
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v))))
Samples
106.0ms237×0valid
6.0ms19×0exit
Compiler

Compiled 345 to 49 computations (85.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 89.0ms
ival-add: 30.0ms (33.7% of total)
ival-div: 16.0ms (18% of total)
ival-exp: 13.0ms (14.6% of total)
ival-mult: 13.0ms (14.6% of total)
ival-log: 7.0ms (7.9% of total)
const: 7.0ms (7.9% of total)
ival-sub: 1.0ms (1.1% of total)
exact: 1.0ms (1.1% of total)
ival-neg: 1.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series169.0ms (1.2%)

Memory
8.0MiB live, 361.3MiB allocated
Counts
20 → 660
Calls
Call 1
Inputs
#<alt (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v))))>
#<alt (+.f32 #s(literal 6931/10000 binary32) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 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 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v)))))>
#<alt (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v))>
#<alt (*.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))))>
#<alt (exp.f32 #s(literal 6931/10000 binary32))>
#<alt (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32)))>
#<alt (/.f32 #s(literal 1 binary32) v)>
#<alt (exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))>
#<alt (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))>
#<alt (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))>
#<alt (log.f32 (/.f32 #s(literal 1/2 binary32) v))>
#<alt (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 v #s(literal 2 binary32)))>
#<alt (*.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 v #s(literal 2 binary32))) (exp.f32 (/.f32 (+.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v)))>
#<alt (exp.f32 (/.f32 (+.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v))>
#<alt (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))>
#<alt (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)>
#<alt (/.f32 (exp.f32 (+.f32 (neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v))) (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))>
#<alt (exp.f32 (+.f32 (neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)))>
#<alt (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))>
Outputs
#<alt (exp (- 6931/10000 (/ 1 v)))>
#<alt (+ (exp (- 6931/10000 (/ 1 v))) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) v)))>
#<alt (+ (exp (- 6931/10000 (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- 6931/10000 (/ 1 v)))) v)) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- 6931/10000 (/ 1 v))))) (pow v 2))))))>
#<alt (+ (exp (- 6931/10000 (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- 6931/10000 (/ 1 v)))) v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- 6931/10000 (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (- 6931/10000 (/ 1 v)))) (pow v 2))))))))>
#<alt (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))>
#<alt (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))>
#<alt (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))>
#<alt (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))>
#<alt (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))>
#<alt (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))>
#<alt (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))>
#<alt (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))>
#<alt (exp (- 6931/10000 (/ 1 v)))>
#<alt (+ (exp (- 6931/10000 (/ 1 v))) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) v)))>
#<alt (+ (exp (- 6931/10000 (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- 6931/10000 (/ 1 v)))) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 2))))))>
#<alt (+ (exp (- 6931/10000 (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- 6931/10000 (/ 1 v)))) v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (- 6931/10000 (/ 1 v)))) (pow v 2))))))))>
#<alt (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))>
#<alt (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))>
#<alt (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))>
#<alt (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))>
#<alt (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))>
#<alt (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))>
#<alt (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))>
#<alt (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))>
#<alt (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))>
#<alt (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))>
#<alt (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))>
#<alt (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))>
#<alt (exp 6931/10000)>
#<alt (+ (exp 6931/10000) (* -1 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)))>
#<alt (+ (exp 6931/10000) (+ (* -1 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (* 1/2 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (pow v 2)))))>
#<alt (+ (exp 6931/10000) (+ (* -1 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (+ (* -1/6 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (pow v 3))) (* 1/2 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (pow v 2))))))>
#<alt (exp 6931/10000)>
#<alt (+ (exp 6931/10000) (* -1 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)))>
#<alt (+ (exp 6931/10000) (* -1 (/ (+ (* -1/2 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) v)) (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))) v)))>
#<alt (+ (exp 6931/10000) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) v)) (* 1/2 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) v)) (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))) v)))>
#<alt (- 6931/10000 (/ 1 v))>
#<alt (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))>
#<alt (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))>
#<alt (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* sinTheta_O (- (+ (* -1 (/ sinTheta_i v)) (* 6931/10000 (/ 1 sinTheta_O))) (/ 1 (* sinTheta_O v))))>
#<alt (* sinTheta_O (- (+ (* -1 (/ sinTheta_i v)) (* 6931/10000 (/ 1 sinTheta_O))) (/ 1 (* sinTheta_O v))))>
#<alt (* sinTheta_O (- (+ (* -1 (/ sinTheta_i v)) (* 6931/10000 (/ 1 sinTheta_O))) (/ 1 (* sinTheta_O v))))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (* sinTheta_O (+ (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_O)) (/ sinTheta_i v))))>
#<alt (* -1 (* sinTheta_O (+ (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_O)) (/ sinTheta_i v))))>
#<alt (* -1 (* sinTheta_O (+ (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_O)) (/ sinTheta_i v))))>
#<alt (- 6931/10000 (/ 1 v))>
#<alt (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))>
#<alt (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))>
#<alt (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (* 6931/10000 (/ 1 sinTheta_i))) (/ 1 (* sinTheta_i v))))>
#<alt (* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (* 6931/10000 (/ 1 sinTheta_i))) (/ 1 (* sinTheta_i v))))>
#<alt (* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (* 6931/10000 (/ 1 sinTheta_i))) (/ 1 (* sinTheta_i v))))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (* sinTheta_i (+ (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_i)) (/ sinTheta_O v))))>
#<alt (* -1 (* sinTheta_i (+ (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_i)) (/ sinTheta_O v))))>
#<alt (* -1 (* sinTheta_i (+ (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_i)) (/ sinTheta_O v))))>
#<alt (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))>
#<alt (/ (+ (* -1 (+ 1 (* sinTheta_O sinTheta_i))) (* 6931/10000 v)) v)>
#<alt (/ (+ (* -1 (+ 1 (* sinTheta_O sinTheta_i))) (* 6931/10000 v)) v)>
#<alt (/ (+ (* -1 (+ 1 (* sinTheta_O sinTheta_i))) (* 6931/10000 v)) v)>
#<alt 6931/10000>
#<alt (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))>
#<alt (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))>
#<alt (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))>
#<alt 6931/10000>
#<alt (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))>
#<alt (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))>
#<alt (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))>
#<alt (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))>
#<alt (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))>
#<alt (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))>
#<alt (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))>
#<alt (* 1/2 (/ (exp 6931/10000) v))>
#<alt (/ (+ (* -1/2 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (* 1/2 (exp 6931/10000))) v)>
#<alt (/ (+ (* -1/2 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (+ (* 1/4 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (pow v 2))) (* 1/2 (exp 6931/10000)))) v)>
#<alt (/ (+ (* -1/2 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (+ (* -1/12 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (pow v 3))) (+ (* 1/4 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (pow v 2))) (* 1/2 (exp 6931/10000))))) v)>
#<alt (* 1/2 (/ (exp 6931/10000) v))>
#<alt (* -1 (/ (+ (* -1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v))) v))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))) (* 1/4 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) v))) v)) (* -1/2 (exp 6931/10000))) v))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))) (* 1/12 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) v))) v)) (* -1/2 (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (exp 6931/10000))) v))>
#<alt (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v))>
#<alt (+ (* -1/2 (/ (* sinTheta_O (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 2))) (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)))>
#<alt (+ (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)) (* sinTheta_O (+ (* -1/2 (/ (* sinTheta_i (exp (- 6931/10000 (/ 1 v)))) (pow v 2))) (* 1/4 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- 6931/10000 (/ 1 v))))) (pow v 3))))))>
#<alt (+ (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)) (* sinTheta_O (+ (* -1/2 (/ (* sinTheta_i (exp (- 6931/10000 (/ 1 v)))) (pow v 2))) (* sinTheta_O (+ (* -1/12 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- 6931/10000 (/ 1 v))))) (pow v 4))) (* 1/4 (/ (* (pow sinTheta_i 2) (exp (- 6931/10000 (/ 1 v)))) (pow v 3))))))))>
#<alt (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))>
#<alt (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))>
#<alt (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))>
#<alt (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))>
#<alt (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))>
#<alt (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))>
#<alt (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))>
#<alt (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))>
#<alt (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v))>
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#<alt (/ (exp (- (/ (* cosTheta_O cosTheta_i) v) (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (exp (- (/ 1 v) 6931/10000)))>
#<alt (/ (exp (- (/ (* cosTheta_O cosTheta_i) v) (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (exp (- (/ 1 v) 6931/10000)))>
#<alt (/ (exp (- (/ (* cosTheta_O cosTheta_i) v) (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (exp (- (/ 1 v) 6931/10000)))>
#<alt (/ (exp (- (/ (* cosTheta_O cosTheta_i) v) (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (exp (- (/ 1 v) 6931/10000)))>
#<alt (/ (exp (- (/ (* cosTheta_O cosTheta_i) v) (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (exp (- (/ 1 v) 6931/10000)))>
#<alt (exp (- (/ (* cosTheta_O cosTheta_i) v) (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (/ (* cosTheta_O cosTheta_i) v) (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (/ (* cosTheta_O cosTheta_i) v) (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (/ (* cosTheta_O cosTheta_i) v) (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (neg (+ (log 2) (* -1 (log (/ 1 v))))))>
#<alt (+ (exp (neg (+ (log 2) (* -1 (log (/ 1 v)))))) (/ (* (exp (neg (+ (log 2) (* -1 (log (/ 1 v)))))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) v))>
#<alt (+ (exp (neg (+ (log 2) (* -1 (log (/ 1 v)))))) (+ (* 1/2 (/ (* (exp (neg (+ (log 2) (* -1 (log (/ 1 v)))))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)) (pow v 2))) (/ (* (exp (neg (+ (log 2) (* -1 (log (/ 1 v)))))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) v)))>
#<alt (+ (exp (neg (+ (log 2) (* -1 (log (/ 1 v)))))) (+ (* 1/6 (/ (* (exp (neg (+ (log 2) (* -1 (log (/ 1 v)))))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 3)) (pow v 3))) (+ (* 1/2 (/ (* (exp (neg (+ (log 2) (* -1 (log (/ 1 v)))))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)) (pow v 2))) (/ (* (exp (neg (+ (log 2) (* -1 (log (/ 1 v)))))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) v))))>
#<alt (exp (neg (+ (log -2) (* -1 (log (/ -1 v))))))>
#<alt (+ (exp (neg (+ (log -2) (* -1 (log (/ -1 v)))))) (/ (* (exp (neg (+ (log -2) (* -1 (log (/ -1 v)))))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) v))>
#<alt (+ (exp (neg (+ (log -2) (* -1 (log (/ -1 v)))))) (* -1 (/ (+ (* -1 (* (exp (neg (+ (log -2) (* -1 (log (/ -1 v)))))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (* (exp (neg (+ (log -2) (* -1 (log (/ -1 v)))))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)) v))) v)))>
#<alt (+ (exp (neg (+ (log -2) (* -1 (log (/ -1 v)))))) (* -1 (/ (+ (* -1 (* (exp (neg (+ (log -2) (* -1 (log (/ -1 v)))))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)))) (* -1 (/ (+ (* 1/6 (/ (* (exp (neg (+ (log -2) (* -1 (log (/ -1 v)))))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 3)) v)) (* 1/2 (* (exp (neg (+ (log -2) (* -1 (log (/ -1 v)))))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)))) v))) v)))>
#<alt (exp (neg (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (+ (exp (neg (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (/ (* cosTheta_O (* cosTheta_i (exp (neg (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v)))))) v))>
#<alt (+ (exp (neg (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (neg (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_O (exp (neg (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v))))) v))))>
#<alt (+ (exp (neg (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (neg (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (neg (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_O (exp (neg (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v))))) v))))>
#<alt (exp (- (/ (* cosTheta_O cosTheta_i) v) (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (/ (* cosTheta_O cosTheta_i) v) (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (/ (* cosTheta_O cosTheta_i) v) (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (/ (* cosTheta_O cosTheta_i) v) (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (/ (* cosTheta_O cosTheta_i) v) (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (/ (* cosTheta_O cosTheta_i) v) (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (/ (* cosTheta_O cosTheta_i) v) (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (/ (* cosTheta_O cosTheta_i) v) (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (neg (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (+ (exp (neg (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (/ (* cosTheta_O (* cosTheta_i (exp (neg (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v)))))) v))>
#<alt (+ (exp (neg (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (neg (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_i (exp (neg (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v))))) v))))>
#<alt (+ (exp (neg (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (neg (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (neg (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_i (exp (neg (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v))))) v))))>
#<alt (exp (- (/ (* cosTheta_O cosTheta_i) v) (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (/ (* cosTheta_O cosTheta_i) v) (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (/ (* cosTheta_O cosTheta_i) v) (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (/ (* cosTheta_O cosTheta_i) v) (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (/ (* cosTheta_O cosTheta_i) v) (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (/ (* cosTheta_O cosTheta_i) v) (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (/ (* cosTheta_O cosTheta_i) v) (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (/ (* cosTheta_O cosTheta_i) v) (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (/ (* cosTheta_O cosTheta_i) v) (log (* 2 v))))>
#<alt (+ (exp (- (/ (* cosTheta_O cosTheta_i) v) (log (* 2 v)))) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (- (/ (* cosTheta_O cosTheta_i) v) (log (* 2 v)))))) v)))>
#<alt (+ (exp (- (/ (* cosTheta_O cosTheta_i) v) (log (* 2 v)))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- (/ (* cosTheta_O cosTheta_i) v) (log (* 2 v))))) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- (/ (* cosTheta_O cosTheta_i) v) (log (* 2 v)))))) (pow v 2))))))>
#<alt (+ (exp (- (/ (* cosTheta_O cosTheta_i) v) (log (* 2 v)))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- (/ (* cosTheta_O cosTheta_i) v) (log (* 2 v))))) v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- (/ (* cosTheta_O cosTheta_i) v) (log (* 2 v)))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (- (/ (* cosTheta_O cosTheta_i) v) (log (* 2 v))))) (pow v 2))))))))>
#<alt (exp (- (/ (* cosTheta_O cosTheta_i) v) (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (/ (* cosTheta_O cosTheta_i) v) (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (/ (* cosTheta_O cosTheta_i) v) (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (/ (* cosTheta_O cosTheta_i) v) (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (/ (* cosTheta_O cosTheta_i) v) (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (/ (* cosTheta_O cosTheta_i) v) (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (/ (* cosTheta_O cosTheta_i) v) (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (/ (* cosTheta_O cosTheta_i) v) (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (/ (* cosTheta_O cosTheta_i) v) (log (* 2 v))))>
#<alt (+ (exp (- (/ (* cosTheta_O cosTheta_i) v) (log (* 2 v)))) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (- (/ (* cosTheta_O cosTheta_i) v) (log (* 2 v)))))) v)))>
#<alt (+ (exp (- (/ (* cosTheta_O cosTheta_i) v) (log (* 2 v)))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- (/ (* cosTheta_O cosTheta_i) v) (log (* 2 v))))) v)) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- (/ (* cosTheta_O cosTheta_i) v) (log (* 2 v)))))) (pow v 2))))))>
#<alt (+ (exp (- (/ (* cosTheta_O cosTheta_i) v) (log (* 2 v)))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- (/ (* cosTheta_O cosTheta_i) v) (log (* 2 v))))) v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- (/ (* cosTheta_O cosTheta_i) v) (log (* 2 v)))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (- (/ (* cosTheta_O cosTheta_i) v) (log (* 2 v))))) (pow v 2))))))))>
#<alt (exp (- (/ (* cosTheta_O cosTheta_i) v) (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (/ (* cosTheta_O cosTheta_i) v) (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (/ (* cosTheta_O cosTheta_i) v) (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (/ (* cosTheta_O cosTheta_i) v) (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (/ (* cosTheta_O cosTheta_i) v) (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (/ (* cosTheta_O cosTheta_i) v) (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (/ (* cosTheta_O cosTheta_i) v) (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (/ (* cosTheta_O cosTheta_i) v) (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (/ 1 v) 6931/10000))>
#<alt (exp (- (/ 1 v) 6931/10000))>
#<alt (exp (- (/ 1 v) 6931/10000))>
#<alt (exp (- (/ 1 v) 6931/10000))>
#<alt (exp -6931/10000)>
#<alt (+ (exp -6931/10000) (/ (exp -6931/10000) v))>
#<alt (+ (exp -6931/10000) (+ (* 1/2 (/ (exp -6931/10000) (pow v 2))) (/ (exp -6931/10000) v)))>
#<alt (+ (exp -6931/10000) (+ (* 1/6 (/ (exp -6931/10000) (pow v 3))) (+ (* 1/2 (/ (exp -6931/10000) (pow v 2))) (/ (exp -6931/10000) v))))>
#<alt (exp -6931/10000)>
#<alt (+ (exp -6931/10000) (/ (exp -6931/10000) v))>
#<alt (+ (exp -6931/10000) (* -1 (/ (+ (* -1 (exp -6931/10000)) (* -1/2 (/ (exp -6931/10000) v))) v)))>
#<alt (+ (exp -6931/10000) (* -1 (/ (+ (* -1 (exp -6931/10000)) (* -1 (/ (+ (* 1/6 (/ (exp -6931/10000) v)) (* 1/2 (exp -6931/10000))) v))) v)))>
Calls

165 calls:

TimeVariablePointExpression
29.0ms
v
@0
(log (/ 1/2 v))
29.0ms
v
@inf
(/ (exp (+ (neg (log (* v 2))) (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v))) (exp (+ (/ 1 v) -6931/10000)))
11.0ms
v
@-inf
(log (/ 1/2 v))
9.0ms
v
@0
(+ (log (/ 1/2 v)) (+ 6931/10000 (/ (+ (* cosTheta_O cosTheta_i) -1) v)))
5.0ms
v
@inf
(log (/ 1/2 v))

rewrite493.0ms (3.6%)

Memory
-6.9MiB live, 782.7MiB allocated
Algorithm
batch-egg-rewrite
Rules
7 516×lower-*.f64
7 500×lower-*.f32
5 100×lower-/.f64
5 084×lower-/.f32
3 226×lower-fma.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
045198
081199
1311184
22313183
010662183
Stop Event
iter limit
node limit
iter limit
Counts
20 → 558
Calls
Call 1
Inputs
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v))))
(+.f32 #s(literal 6931/10000 binary32) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.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)) (/.f32 #s(literal -1 binary32) v)))))
(*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v))
(*.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))))
(exp.f32 #s(literal 6931/10000 binary32))
(*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32)))
(/.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 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(log.f32 (/.f32 #s(literal 1/2 binary32) v))
(/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 v #s(literal 2 binary32)))
(*.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 v #s(literal 2 binary32))) (exp.f32 (/.f32 (+.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v)))
(exp.f32 (/.f32 (+.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v))
(-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))
(/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)
(/.f32 (exp.f32 (+.f32 (neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v))) (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
(exp.f32 (+.f32 (neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)))
(exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))
Outputs
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v))))
(pow.f32 (exp.f32 (+.f32 #s(literal 332956652491/1000000000000 binary32) (/.f32 (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (neg.f32 (*.f32 v (*.f32 v v)))))) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v)) (-.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v)) #s(literal 6931/10000 binary32)) #s(literal 48038761/100000000 binary32))))
(pow.f32 (exp.f32 (-.f32 #s(literal 48038761/100000000 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 v v)) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v)))))
(/.f32 (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v))))) (exp.f32 (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 v v)) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v))))))
(*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v))))
(*.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v))) (exp.f32 #s(literal 6931/10000 binary32)))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v)))
(+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v)) #s(literal 6931/10000 binary32))
(pow.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v)) (-.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v)) #s(literal 6931/10000 binary32)) #s(literal 48038761/100000000 binary32)) (+.f32 #s(literal 332956652491/1000000000000 binary32) (/.f32 (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (neg.f32 (*.f32 v (*.f32 v v)))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v))) (-.f32 #s(literal 48038761/100000000 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 v v)) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))))) #s(literal -1 binary32))
(fma.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))
(fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) #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))
(fma.f32 (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))
(-.f32 (/.f32 #s(literal 48038761/100000000 binary32) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v)))) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 v v)) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v)) (-.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v)) #s(literal 6931/10000 binary32)) #s(literal 48038761/100000000 binary32)) (+.f32 #s(literal 332956652491/1000000000000 binary32) (/.f32 (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (neg.f32 (*.f32 v (*.f32 v v)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v))) (-.f32 #s(literal 48038761/100000000 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 v v)) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))))))
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(pow.f32 (exp.f32 (neg.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))))) (/.f32 #s(literal -1 binary32) v))
(pow.f32 (exp.f32 (*.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) v))
(/.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32)))) (/.f32 #s(literal -1 binary32) v)))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) (neg.f32 v))))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32)))) v)))
(/.f32 (exp.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
(+.f32 (*.f32 cosTheta_O cosTheta_i) (neg.f32 (*.f32 sinTheta_O sinTheta_i)))
(+.f32 (neg.f32 (*.f32 sinTheta_O sinTheta_i)) (*.f32 cosTheta_O cosTheta_i))
(pow.f32 (/.f32 (fma.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 cosTheta_O cosTheta_i)) (*.f32 (*.f32 sinTheta_O sinTheta_i) (fma.f32 sinTheta_O sinTheta_i (*.f32 cosTheta_O cosTheta_i)))) (fma.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 cosTheta_O cosTheta_i))) (neg.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_i))))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i (*.f32 cosTheta_O cosTheta_i)) (*.f32 (fma.f32 sinTheta_O sinTheta_i (*.f32 cosTheta_O cosTheta_i)) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)))) #s(literal -1 binary32))
(fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i))
(fma.f32 sinTheta_i (neg.f32 sinTheta_O) (*.f32 cosTheta_O cosTheta_i))
(fma.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_O cosTheta_i))
(fma.f32 cosTheta_O cosTheta_i (neg.f32 (*.f32 sinTheta_O sinTheta_i)))
(fma.f32 cosTheta_i cosTheta_O (neg.f32 (*.f32 sinTheta_O sinTheta_i)))
(fma.f32 (neg.f32 sinTheta_i) sinTheta_O (*.f32 cosTheta_O cosTheta_i))
(fma.f32 (neg.f32 sinTheta_O) sinTheta_i (*.f32 cosTheta_O cosTheta_i))
(-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))
(-.f32 (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 cosTheta_O cosTheta_i)))) (fma.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 cosTheta_O cosTheta_i)) (*.f32 (*.f32 sinTheta_O sinTheta_i) (fma.f32 sinTheta_O sinTheta_i (*.f32 cosTheta_O cosTheta_i))))) (/.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_i)))) (fma.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 cosTheta_O cosTheta_i)) (*.f32 (*.f32 sinTheta_O sinTheta_i) (fma.f32 sinTheta_O sinTheta_i (*.f32 cosTheta_O cosTheta_i))))))
(-.f32 (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 cosTheta_O cosTheta_i))) (fma.f32 sinTheta_O sinTheta_i (*.f32 cosTheta_O cosTheta_i))) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_i))) (fma.f32 sinTheta_O sinTheta_i (*.f32 cosTheta_O cosTheta_i))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 cosTheta_O cosTheta_i)) (*.f32 (*.f32 sinTheta_O sinTheta_i) (fma.f32 sinTheta_O sinTheta_i (*.f32 cosTheta_O cosTheta_i)))) (fma.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 cosTheta_O cosTheta_i))) (neg.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_i))))))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i (*.f32 cosTheta_O cosTheta_i)) (*.f32 (fma.f32 sinTheta_O sinTheta_i (*.f32 cosTheta_O cosTheta_i)) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)))))
(/.f32 (fma.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 cosTheta_O cosTheta_i))) (neg.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_i)))))) (fma.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 cosTheta_O cosTheta_i)) (*.f32 (*.f32 sinTheta_O sinTheta_i) (fma.f32 sinTheta_O sinTheta_i (*.f32 cosTheta_O cosTheta_i)))))
(/.f32 (fma.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 cosTheta_O cosTheta_i))) (neg.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_i)))))) (fma.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 cosTheta_O cosTheta_i)) (-.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_i))) (*.f32 (*.f32 cosTheta_O cosTheta_i) (neg.f32 (*.f32 sinTheta_O sinTheta_i))))))
(/.f32 (*.f32 (fma.f32 sinTheta_O sinTheta_i (*.f32 cosTheta_O cosTheta_i)) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i))) (fma.f32 sinTheta_O sinTheta_i (*.f32 cosTheta_O cosTheta_i)))
(/.f32 (*.f32 (fma.f32 sinTheta_O sinTheta_i (*.f32 cosTheta_O cosTheta_i)) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i))) (-.f32 (*.f32 cosTheta_O cosTheta_i) (neg.f32 (*.f32 sinTheta_O sinTheta_i))))
(/.f32 (neg.f32 (fma.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 cosTheta_O cosTheta_i))) (neg.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_i))))))) (neg.f32 (fma.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 cosTheta_O cosTheta_i)) (*.f32 (*.f32 sinTheta_O sinTheta_i) (fma.f32 sinTheta_O sinTheta_i (*.f32 cosTheta_O cosTheta_i))))))
(/.f32 (neg.f32 (*.f32 (fma.f32 sinTheta_O sinTheta_i (*.f32 cosTheta_O cosTheta_i)) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)))) (neg.f32 (fma.f32 sinTheta_O sinTheta_i (*.f32 cosTheta_O cosTheta_i))))
(/.f32 (-.f32 (*.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 cosTheta_O cosTheta_i)))) (fma.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 cosTheta_O cosTheta_i)) (*.f32 (*.f32 sinTheta_O sinTheta_i) (fma.f32 sinTheta_O sinTheta_i (*.f32 cosTheta_O cosTheta_i))))) (*.f32 (fma.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 cosTheta_O cosTheta_i)) (*.f32 (*.f32 sinTheta_O sinTheta_i) (fma.f32 sinTheta_O sinTheta_i (*.f32 cosTheta_O cosTheta_i)))) (*.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_i)))))) (*.f32 (fma.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 cosTheta_O cosTheta_i)) (*.f32 (*.f32 sinTheta_O sinTheta_i) (fma.f32 sinTheta_O sinTheta_i (*.f32 cosTheta_O cosTheta_i)))) (fma.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 cosTheta_O cosTheta_i)) (*.f32 (*.f32 sinTheta_O sinTheta_i) (fma.f32 sinTheta_O sinTheta_i (*.f32 cosTheta_O cosTheta_i))))))
(/.f32 (-.f32 (*.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 cosTheta_O cosTheta_i))) (fma.f32 sinTheta_O sinTheta_i (*.f32 cosTheta_O cosTheta_i))) (*.f32 (fma.f32 sinTheta_O sinTheta_i (*.f32 cosTheta_O cosTheta_i)) (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_i))))) (*.f32 (fma.f32 sinTheta_O sinTheta_i (*.f32 cosTheta_O cosTheta_i)) (fma.f32 sinTheta_O sinTheta_i (*.f32 cosTheta_O cosTheta_i))))
(*.f32 (fma.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 cosTheta_O cosTheta_i))) (neg.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_i)))))) (/.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 cosTheta_O cosTheta_i)) (*.f32 (*.f32 sinTheta_O sinTheta_i) (fma.f32 sinTheta_O sinTheta_i (*.f32 cosTheta_O cosTheta_i))))))
(*.f32 (*.f32 (fma.f32 sinTheta_O sinTheta_i (*.f32 cosTheta_O cosTheta_i)) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i))) (/.f32 #s(literal 1 binary32) (fma.f32 sinTheta_O sinTheta_i (*.f32 cosTheta_O cosTheta_i))))
(neg.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) (neg.f32 v)))
(neg.f32 (/.f32 (neg.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i))) v))
(exp.f32 (*.f32 (log.f32 (/.f32 v (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)))) #s(literal -1 binary32)))
(+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(pow.f32 (/.f32 v (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i))) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 v (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i))) #s(literal 1 binary32)) #s(literal -1 binary32))
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(fma.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 #s(literal 1 binary32) v) (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(/.f32 #s(literal 1 binary32) (/.f32 v (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i))) #s(literal 1 binary32)))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 v (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)))))
(/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v)
(/.f32 (neg.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i))) (neg.f32 v))
(/.f32 (fma.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 cosTheta_O cosTheta_i))) (neg.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_i)))))) (*.f32 v (fma.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 cosTheta_O cosTheta_i)) (*.f32 (*.f32 sinTheta_O sinTheta_i) (fma.f32 sinTheta_O sinTheta_i (*.f32 cosTheta_O cosTheta_i))))))
(/.f32 (*.f32 (fma.f32 sinTheta_O sinTheta_i (*.f32 cosTheta_O cosTheta_i)) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i))) (*.f32 v (fma.f32 sinTheta_O sinTheta_i (*.f32 cosTheta_O cosTheta_i))))
(/.f32 (-.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) v) (*.f32 v (*.f32 sinTheta_O sinTheta_i))) (*.f32 v v))
(/.f32 (*.f32 (fma.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 cosTheta_O cosTheta_i))) (neg.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_i)))))) #s(literal 1 binary32)) (*.f32 (fma.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 cosTheta_O cosTheta_i)) (*.f32 (*.f32 sinTheta_O sinTheta_i) (fma.f32 sinTheta_O sinTheta_i (*.f32 cosTheta_O cosTheta_i)))) v))
(/.f32 (*.f32 (fma.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 cosTheta_O cosTheta_i))) (neg.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_i)))))) #s(literal -1 binary32)) (*.f32 (fma.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 cosTheta_O cosTheta_i)) (*.f32 (*.f32 sinTheta_O sinTheta_i) (fma.f32 sinTheta_O sinTheta_i (*.f32 cosTheta_O cosTheta_i)))) (neg.f32 v)))
(/.f32 (*.f32 (*.f32 (fma.f32 sinTheta_O sinTheta_i (*.f32 cosTheta_O cosTheta_i)) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i))) #s(literal 1 binary32)) (*.f32 (fma.f32 sinTheta_O sinTheta_i (*.f32 cosTheta_O cosTheta_i)) v))
(/.f32 (*.f32 (*.f32 (fma.f32 sinTheta_O sinTheta_i (*.f32 cosTheta_O cosTheta_i)) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i))) #s(literal -1 binary32)) (*.f32 (fma.f32 sinTheta_O sinTheta_i (*.f32 cosTheta_O cosTheta_i)) (neg.f32 v)))
(/.f32 (*.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) #s(literal 1 binary32)) v)
(/.f32 (neg.f32 (neg.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)))) (neg.f32 (neg.f32 v)))
(/.f32 (-.f32 (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 cosTheta_O cosTheta_i)))) (*.f32 v (*.f32 v v))) (/.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_i)))) (*.f32 v (*.f32 v v)))) (fma.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) (*.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(/.f32 (-.f32 (*.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (*.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(/.f32 (*.f32 (fma.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 cosTheta_O cosTheta_i))) (neg.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_i)))))) (/.f32 #s(literal 1 binary32) v)) (fma.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 cosTheta_O cosTheta_i)) (*.f32 (*.f32 sinTheta_O sinTheta_i) (fma.f32 sinTheta_O sinTheta_i (*.f32 cosTheta_O cosTheta_i)))))
(/.f32 (*.f32 (*.f32 (fma.f32 sinTheta_O sinTheta_i (*.f32 cosTheta_O cosTheta_i)) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i))) (/.f32 #s(literal 1 binary32) v)) (fma.f32 sinTheta_O sinTheta_i (*.f32 cosTheta_O cosTheta_i)))
(/.f32 (-.f32 (neg.f32 (*.f32 cosTheta_O cosTheta_i)) (neg.f32 (*.f32 sinTheta_O sinTheta_i))) (neg.f32 v))
(/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (/.f32 v (*.f32 sinTheta_O sinTheta_i))) (*.f32 (/.f32 v (*.f32 cosTheta_O cosTheta_i)) #s(literal 1 binary32))) (*.f32 (/.f32 v (*.f32 cosTheta_O cosTheta_i)) (/.f32 v (*.f32 sinTheta_O sinTheta_i))))
(/.f32 (-.f32 (*.f32 #s(literal 1 binary32) v) (*.f32 (/.f32 v (*.f32 cosTheta_O cosTheta_i)) (*.f32 sinTheta_O sinTheta_i))) (*.f32 (/.f32 v (*.f32 cosTheta_O cosTheta_i)) v))
(/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (neg.f32 v)) (*.f32 (/.f32 v (*.f32 cosTheta_O cosTheta_i)) (neg.f32 (*.f32 sinTheta_O sinTheta_i)))) (*.f32 (/.f32 v (*.f32 cosTheta_O cosTheta_i)) (neg.f32 v)))
(/.f32 (-.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 v (*.f32 sinTheta_O sinTheta_i))) v) (*.f32 v (/.f32 v (*.f32 sinTheta_O sinTheta_i))))
(/.f32 (-.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (neg.f32 v)) (*.f32 v (neg.f32 (*.f32 sinTheta_O sinTheta_i)))) (*.f32 v (neg.f32 v)))
(/.f32 (-.f32 (*.f32 (neg.f32 (*.f32 cosTheta_O cosTheta_i)) (/.f32 v (*.f32 sinTheta_O sinTheta_i))) (*.f32 (neg.f32 v) #s(literal 1 binary32))) (*.f32 (neg.f32 v) (/.f32 v (*.f32 sinTheta_O sinTheta_i))))
(/.f32 (-.f32 (*.f32 (neg.f32 (*.f32 cosTheta_O cosTheta_i)) v) (*.f32 (neg.f32 v) (*.f32 sinTheta_O sinTheta_i))) (*.f32 (neg.f32 v) v))
(/.f32 (-.f32 (*.f32 (neg.f32 (*.f32 cosTheta_O cosTheta_i)) (neg.f32 v)) (*.f32 (neg.f32 v) (neg.f32 (*.f32 sinTheta_O sinTheta_i)))) (*.f32 v v))
(*.f32 #s(literal 1 binary32) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v))
(*.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)))
(*.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i))) #s(literal -1 binary32)))
(*.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) (/.f32 #s(literal 1 binary32) v))
(*.f32 (neg.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i))) (/.f32 #s(literal -1 binary32) v))
(*.f32 (*.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) v))
(*.f32 (pow.f32 (/.f32 v (fma.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 cosTheta_O cosTheta_i))) (neg.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_i))))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 cosTheta_O cosTheta_i)) (*.f32 (*.f32 sinTheta_O sinTheta_i) (fma.f32 sinTheta_O sinTheta_i (*.f32 cosTheta_O cosTheta_i))))))
(*.f32 (pow.f32 (/.f32 v (*.f32 (fma.f32 sinTheta_O sinTheta_i (*.f32 cosTheta_O cosTheta_i)) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 sinTheta_O sinTheta_i (*.f32 cosTheta_O cosTheta_i))))
(neg.f32 (/.f32 (/.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v)) (*.f32 v #s(literal 2 binary32))) (neg.f32 (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))))
(neg.f32 (/.f32 (*.f32 (neg.f32 (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v))) (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))
(exp.f32 (-.f32 (-.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
(exp.f32 (*.f32 (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))))) #s(literal -1 binary32)))
(exp.f32 (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)) (-.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v) (log.f32 (*.f32 v #s(literal 2 binary32))))) #s(literal -1 binary32)))
(exp.f32 (+.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))) (-.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v) (log.f32 (*.f32 v #s(literal 2 binary32))))))
(exp.f32 (neg.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)) (-.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v) (log.f32 (*.f32 v #s(literal 2 binary32)))))))
(pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))) #s(literal 1 binary32)) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))) #s(literal 1 binary32)))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))))))
(/.f32 (/.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v)) (*.f32 v #s(literal 2 binary32))) (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
(/.f32 (*.f32 (neg.f32 (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v))) (neg.f32 (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))
(/.f32 (neg.f32 (*.f32 (neg.f32 (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v)))) (neg.f32 (neg.f32 (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))))
(/.f32 (*.f32 (/.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v)) (*.f32 v #s(literal 2 binary32))) #s(literal 1 binary32)) (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
(/.f32 (exp.f32 (-.f32 (-.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))) (exp.f32 #s(literal -6931/10000 binary32)))
(/.f32 (exp.f32 (-.f32 (-.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v) (log.f32 (*.f32 v #s(literal 2 binary32)))) #s(literal -6931/10000 binary32))) (exp.f32 (/.f32 #s(literal 1 binary32) v)))
(*.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))))
(*.f32 (/.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v)) (*.f32 v #s(literal 2 binary32))) (exp.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v) (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))
(*.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v)) (exp.f32 (-.f32 (neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32)))) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))
(*.f32 (*.f32 (neg.f32 (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v))) (/.f32 #s(literal 1 binary32) (neg.f32 (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))))
(*.f32 (exp.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))) (/.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v)) (*.f32 v #s(literal 2 binary32))))
(*.f32 (exp.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))) (pow.f32 (/.f32 #s(literal 1 binary32) (/.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v)) (*.f32 v #s(literal 2 binary32)))) #s(literal -1 binary32)))
(*.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (pow.f32 (exp.f32 (-.f32 #s(literal -6931/10000 binary32) (-.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v) (log.f32 (*.f32 v #s(literal 2 binary32)))))) #s(literal -1 binary32)))
(*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 #s(literal 1 binary32) v))) (exp.f32 (-.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v) #s(literal -6931/10000 binary32))))
(*.f32 (pow.f32 (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)) #s(literal -1 binary32)) (pow.f32 (exp.f32 (-.f32 #s(literal -6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v))) #s(literal -1 binary32)))
(exp.f32 (-.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v) (log.f32 (*.f32 v #s(literal 2 binary32)))))
(pow.f32 (exp.f32 (+.f32 (/.f32 (*.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) (*.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)))) (*.f32 v (*.f32 v v))) (pow.f32 (neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32)))) #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v) (-.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v) (neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32))))) (pow.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) #s(literal 2 binary32)))))
(pow.f32 (exp.f32 (-.f32 (pow.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) #s(literal 2 binary32)) (/.f32 (*.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i))) (*.f32 v v)))) (/.f32 #s(literal 1 binary32) (-.f32 (neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v))))
(/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v))))
(/.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v)) (*.f32 v #s(literal 2 binary32)))
(/.f32 (exp.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (exp.f32 (-.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) (neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32)))))))
(/.f32 (exp.f32 (/.f32 (pow.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) #s(literal 2 binary32)) (-.f32 (neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v)))) (exp.f32 (/.f32 (/.f32 (*.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i))) (*.f32 v v)) (-.f32 (neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v)))))
(/.f32 (exp.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v) #s(literal 0 binary32))) (*.f32 v #s(literal 2 binary32)))
(/.f32 (exp.f32 (+.f32 (neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v)))
(*.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v)) (/.f32 #s(literal 1/2 binary32) v))
(exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))
(pow.f32 (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 v (*.f32 v v))) #s(literal -332956652491/1000000000000 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 v v)) (-.f32 #s(literal 48038761/100000000 binary32) (/.f32 #s(literal -6931/10000 binary32) v)))))
(pow.f32 (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 v v)) #s(literal -48038761/100000000 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
(/.f32 (exp.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 v v)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))))
(*.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 #s(literal -6931/10000 binary32)))
(*.f32 (exp.f32 #s(literal -6931/10000 binary32)) (exp.f32 (/.f32 #s(literal 1 binary32) v)))

simplify529.0ms (3.9%)

Memory
-2.6MiB live, 1 116.1MiB allocated
Algorithm
egg-herbie
Rules
8 722×lower-fma.f64
8 722×lower-fma.f32
8 320×lower-*.f64
8 320×lower-*.f32
5 200×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0107212975
1347612219
0901811698
Stop Event
iter limit
node limit
Counts
660 → 660
Calls
Call 1
Inputs
(exp (- 6931/10000 (/ 1 v)))
(+ (exp (- 6931/10000 (/ 1 v))) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) v)))
(+ (exp (- 6931/10000 (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- 6931/10000 (/ 1 v)))) v)) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- 6931/10000 (/ 1 v))))) (pow v 2))))))
(+ (exp (- 6931/10000 (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- 6931/10000 (/ 1 v)))) v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- 6931/10000 (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (- 6931/10000 (/ 1 v)))) (pow v 2))))))))
(exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))
(exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))
(exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))
(exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))
(exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))
(exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))
(exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))
(exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))
(exp (- 6931/10000 (/ 1 v)))
(+ (exp (- 6931/10000 (/ 1 v))) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) v)))
(+ (exp (- 6931/10000 (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- 6931/10000 (/ 1 v)))) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 2))))))
(+ (exp (- 6931/10000 (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- 6931/10000 (/ 1 v)))) v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (- 6931/10000 (/ 1 v)))) (pow v 2))))))))
(exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))
(exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))
(exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))
(exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))
(exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))
(exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))
(exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))
(exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))
(exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))
(exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))
(exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))
(exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))
(exp 6931/10000)
(+ (exp 6931/10000) (* -1 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)))
(+ (exp 6931/10000) (+ (* -1 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (* 1/2 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (pow v 2)))))
(+ (exp 6931/10000) (+ (* -1 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (+ (* -1/6 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (pow v 3))) (* 1/2 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (pow v 2))))))
(exp 6931/10000)
(+ (exp 6931/10000) (* -1 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)))
(+ (exp 6931/10000) (* -1 (/ (+ (* -1/2 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) v)) (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))) v)))
(+ (exp 6931/10000) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) v)) (* 1/2 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) v)) (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))) v)))
(- 6931/10000 (/ 1 v))
(- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))
(- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))
(- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* sinTheta_O (- (+ (* -1 (/ sinTheta_i v)) (* 6931/10000 (/ 1 sinTheta_O))) (/ 1 (* sinTheta_O v))))
(* sinTheta_O (- (+ (* -1 (/ sinTheta_i v)) (* 6931/10000 (/ 1 sinTheta_O))) (/ 1 (* sinTheta_O v))))
(* sinTheta_O (- (+ (* -1 (/ sinTheta_i v)) (* 6931/10000 (/ 1 sinTheta_O))) (/ 1 (* sinTheta_O v))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (* sinTheta_O (+ (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_O)) (/ sinTheta_i v))))
(* -1 (* sinTheta_O (+ (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_O)) (/ sinTheta_i v))))
(* -1 (* sinTheta_O (+ (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_O)) (/ sinTheta_i v))))
(- 6931/10000 (/ 1 v))
(- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))
(- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))
(- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (* 6931/10000 (/ 1 sinTheta_i))) (/ 1 (* sinTheta_i v))))
(* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (* 6931/10000 (/ 1 sinTheta_i))) (/ 1 (* sinTheta_i v))))
(* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (* 6931/10000 (/ 1 sinTheta_i))) (/ 1 (* sinTheta_i v))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (* sinTheta_i (+ (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_i)) (/ sinTheta_O v))))
(* -1 (* sinTheta_i (+ (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_i)) (/ sinTheta_O v))))
(* -1 (* sinTheta_i (+ (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_i)) (/ sinTheta_O v))))
(* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))
(/ (+ (* -1 (+ 1 (* sinTheta_O sinTheta_i))) (* 6931/10000 v)) v)
(/ (+ (* -1 (+ 1 (* sinTheta_O sinTheta_i))) (* 6931/10000 v)) v)
(/ (+ (* -1 (+ 1 (* sinTheta_O sinTheta_i))) (* 6931/10000 v)) v)
6931/10000
(+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))
(+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))
(+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))
6931/10000
(+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))
(+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))
(+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))
(* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))
(* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))
(* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))
(* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))
(* 1/2 (/ (exp 6931/10000) v))
(/ (+ (* -1/2 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (* 1/2 (exp 6931/10000))) v)
(/ (+ (* -1/2 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (+ (* 1/4 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (pow v 2))) (* 1/2 (exp 6931/10000)))) v)
(/ (+ (* -1/2 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (+ (* -1/12 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (pow v 3))) (+ (* 1/4 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (pow v 2))) (* 1/2 (exp 6931/10000))))) v)
(* 1/2 (/ (exp 6931/10000) v))
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(* -1 (/ (+ (* -1/2 (exp 6931/10000)) (* -1/2 (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v))) v))
(* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) v)) (* 1/2 (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))))) v)) (* -1/2 (exp 6931/10000))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2))) (* -1/12 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3)) v))) v)) (* 1/2 (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))))) v)) (* -1/2 (exp 6931/10000))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))
(+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))) (pow v 2))) (* 1/2 (/ (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v)))
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v)) (* cosTheta_i (+ (* 1/4 (/ (* (pow cosTheta_O 2) (* cosTheta_i (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) (pow v 2))))))
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v)) (* cosTheta_i (+ (* 1/2 (/ (* cosTheta_O (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) (pow v 2))) (* cosTheta_i (+ (* 1/12 (/ (* (pow cosTheta_O 3) (* cosTheta_i (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))) (pow v 4))) (* 1/4 (/ (* (pow cosTheta_O 2) (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) (pow v 3))))))))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))
(+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))) (pow v 2))) (* 1/2 (/ (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v)))
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v)) (* cosTheta_O (+ (* 1/4 (/ (* cosTheta_O (* (pow cosTheta_i 2) (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))) (pow v 3))) (* 1/2 (/ (* cosTheta_i (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) (pow v 2))))))
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v)) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_i (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) (pow v 2))) (* cosTheta_O (+ (* 1/12 (/ (* cosTheta_O (* (pow cosTheta_i 3) (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))) (pow v 4))) (* 1/4 (/ (* (pow cosTheta_i 2) (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) (pow v 3))))))))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v))
(+ (* -1/2 (/ (* sinTheta_O (* sinTheta_i (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))))) (pow v 2))) (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)))
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)) (* sinTheta_i (+ (* -1/2 (/ (* sinTheta_O (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) (pow v 2))) (* 1/4 (/ (* (pow sinTheta_O 2) (* sinTheta_i (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))))) (pow v 3))))))
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)) (* sinTheta_i (+ (* -1/2 (/ (* sinTheta_O (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) (pow v 2))) (* sinTheta_i (+ (* -1/12 (/ (* (pow sinTheta_O 3) (* sinTheta_i (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))))) (pow v 4))) (* 1/4 (/ (* (pow sinTheta_O 2) (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) (pow v 3))))))))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v))
(+ (* -1/2 (/ (* sinTheta_O (* sinTheta_i (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))))) (pow v 2))) (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)))
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)) (* sinTheta_O (+ (* -1/2 (/ (* sinTheta_i (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) (pow v 2))) (* 1/4 (/ (* sinTheta_O (* (pow sinTheta_i 2) (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))))) (pow v 3))))))
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)) (* sinTheta_O (+ (* -1/2 (/ (* sinTheta_i (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) (pow v 2))) (* sinTheta_O (+ (* -1/12 (/ (* sinTheta_O (* (pow sinTheta_i 3) (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))))) (pow v 4))) (* 1/4 (/ (* (pow sinTheta_i 2) (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) (pow v 3))))))))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))) v))
(exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))
(+ (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))) (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) v))
(+ (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) (pow v 2))) (/ (* cosTheta_O (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))))
(+ (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) (pow v 2))))) (/ (* cosTheta_O (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))
(+ (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))) (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) v))
(+ (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) (pow v 2))) (/ (* cosTheta_i (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))))
(+ (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) (pow v 2))))) (/ (* cosTheta_i (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) 1) v))
(+ (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) v)))
(+ (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) (pow v 2))))))
(+ (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (pow v 2))))))))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) 1) v))
(+ (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) v)))
(+ (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) (pow v 2))))))
(+ (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (pow v 2))))))))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
1
(- (+ 1 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 1 (+ (* 1/2 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 1 (+ (* 1/6 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3) (pow v 3))) (+ (* 1/2 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
1
(- (+ 1 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(+ 1 (* -1 (/ (+ (* -1 (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) v))) v)))
(+ 1 (* -1 (/ (+ (* -1 (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) (* -1 (/ (+ (* 1/6 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3) v)) (* 1/2 (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2))) v))) v)))
(* -1 (* sinTheta_O sinTheta_i))
(- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))
(- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))
(- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))
(* cosTheta_O cosTheta_i)
(* cosTheta_i (+ cosTheta_O (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_i))))
(* cosTheta_i (+ cosTheta_O (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_i))))
(* cosTheta_i (+ cosTheta_O (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_i))))
(* cosTheta_O cosTheta_i)
(* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (/ (* sinTheta_O sinTheta_i) cosTheta_i))))
(* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (/ (* sinTheta_O sinTheta_i) cosTheta_i))))
(* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (/ (* sinTheta_O sinTheta_i) cosTheta_i))))
(* -1 (* sinTheta_O sinTheta_i))
(- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))
(- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))
(- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))
(* cosTheta_O cosTheta_i)
(* cosTheta_O (+ cosTheta_i (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_O))))
(* cosTheta_O (+ cosTheta_i (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_O))))
(* cosTheta_O (+ cosTheta_i (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_O))))
(* cosTheta_O cosTheta_i)
(* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (/ (* sinTheta_O sinTheta_i) cosTheta_O))))
(* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (/ (* sinTheta_O sinTheta_i) cosTheta_O))))
(* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (/ (* sinTheta_O sinTheta_i) cosTheta_O))))
(* cosTheta_O cosTheta_i)
(+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))
(+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))
(+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))
(* -1 (* sinTheta_O sinTheta_i))
(* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) sinTheta_i) sinTheta_O))
(* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) sinTheta_i) sinTheta_O))
(* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) sinTheta_i) sinTheta_O))
(* -1 (* sinTheta_O sinTheta_i))
(* -1 (* sinTheta_i (- (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_i)) (* -1 sinTheta_O))))
(* -1 (* sinTheta_i (- (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_i)) (* -1 sinTheta_O))))
(* -1 (* sinTheta_i (- (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_i)) (* -1 sinTheta_O))))
(* cosTheta_O cosTheta_i)
(+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))
(+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))
(+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))
(* -1 (* sinTheta_O sinTheta_i))
(* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i))
(* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i))
(* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i))
(* -1 (* sinTheta_O sinTheta_i))
(* -1 (* sinTheta_O (- (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (* -1 sinTheta_i))))
(* -1 (* sinTheta_O (- (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (* -1 sinTheta_i))))
(* -1 (* sinTheta_O (- (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (* -1 sinTheta_i))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_i (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ cosTheta_O v)))
(* cosTheta_i (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ cosTheta_O v)))
(* cosTheta_i (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ cosTheta_O v)))
(/ (* cosTheta_O cosTheta_i) v)
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_O (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v)))
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(exp (neg (+ (log -2) (* -1 (log (/ -1 v))))))
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(+ (exp (neg (+ (log -2) (* -1 (log (/ -1 v)))))) (* -1 (/ (+ (* -1 (* (exp (neg (+ (log -2) (* -1 (log (/ -1 v)))))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (* (exp (neg (+ (log -2) (* -1 (log (/ -1 v)))))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)) v))) v)))
(+ (exp (neg (+ (log -2) (* -1 (log (/ -1 v)))))) (* -1 (/ (+ (* -1 (* (exp (neg (+ (log -2) (* -1 (log (/ -1 v)))))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)))) (* -1 (/ (+ (* 1/6 (/ (* (exp (neg (+ (log -2) (* -1 (log (/ -1 v)))))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 3)) v)) (* 1/2 (* (exp (neg (+ (log -2) (* -1 (log (/ -1 v)))))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)))) v))) v)))
(exp (neg (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v))))
(+ (exp (neg (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (/ (* cosTheta_O (* cosTheta_i (exp (neg (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v)))))) v))
(+ (exp (neg (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (neg (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_O (exp (neg (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(+ (exp (neg (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (neg (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (neg (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_O (exp (neg (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(exp (- (/ (* cosTheta_O cosTheta_i) v) (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (/ (* cosTheta_O cosTheta_i) v) (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (/ (* cosTheta_O cosTheta_i) v) (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (/ (* cosTheta_O cosTheta_i) v) (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (/ (* cosTheta_O cosTheta_i) v) (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (/ (* cosTheta_O cosTheta_i) v) (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (/ (* cosTheta_O cosTheta_i) v) (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (/ (* cosTheta_O cosTheta_i) v) (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v))))
(exp (neg (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v))))
(+ (exp (neg (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (/ (* cosTheta_O (* cosTheta_i (exp (neg (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v)))))) v))
(+ (exp (neg (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (neg (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_i (exp (neg (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(+ (exp (neg (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (neg (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (neg (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_i (exp (neg (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(exp (- (/ (* cosTheta_O cosTheta_i) v) (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (/ (* cosTheta_O cosTheta_i) v) (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (/ (* cosTheta_O cosTheta_i) v) (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (/ (* cosTheta_O cosTheta_i) v) (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (/ (* cosTheta_O cosTheta_i) v) (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (/ (* cosTheta_O cosTheta_i) v) (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (/ (* cosTheta_O cosTheta_i) v) (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (/ (* cosTheta_O cosTheta_i) v) (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (/ (* cosTheta_O cosTheta_i) v) (log (* 2 v))))
(+ (exp (- (/ (* cosTheta_O cosTheta_i) v) (log (* 2 v)))) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (- (/ (* cosTheta_O cosTheta_i) v) (log (* 2 v)))))) v)))
(+ (exp (- (/ (* cosTheta_O cosTheta_i) v) (log (* 2 v)))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- (/ (* cosTheta_O cosTheta_i) v) (log (* 2 v))))) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- (/ (* cosTheta_O cosTheta_i) v) (log (* 2 v)))))) (pow v 2))))))
(+ (exp (- (/ (* cosTheta_O cosTheta_i) v) (log (* 2 v)))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- (/ (* cosTheta_O cosTheta_i) v) (log (* 2 v))))) v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- (/ (* cosTheta_O cosTheta_i) v) (log (* 2 v)))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (- (/ (* cosTheta_O cosTheta_i) v) (log (* 2 v))))) (pow v 2))))))))
(exp (- (/ (* cosTheta_O cosTheta_i) v) (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (/ (* cosTheta_O cosTheta_i) v) (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (/ (* cosTheta_O cosTheta_i) v) (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (/ (* cosTheta_O cosTheta_i) v) (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (/ (* cosTheta_O cosTheta_i) v) (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (/ (* cosTheta_O cosTheta_i) v) (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (/ (* cosTheta_O cosTheta_i) v) (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (/ (* cosTheta_O cosTheta_i) v) (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (/ (* cosTheta_O cosTheta_i) v) (log (* 2 v))))
(+ (exp (- (/ (* cosTheta_O cosTheta_i) v) (log (* 2 v)))) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (- (/ (* cosTheta_O cosTheta_i) v) (log (* 2 v)))))) v)))
(+ (exp (- (/ (* cosTheta_O cosTheta_i) v) (log (* 2 v)))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- (/ (* cosTheta_O cosTheta_i) v) (log (* 2 v))))) v)) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- (/ (* cosTheta_O cosTheta_i) v) (log (* 2 v)))))) (pow v 2))))))
(+ (exp (- (/ (* cosTheta_O cosTheta_i) v) (log (* 2 v)))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- (/ (* cosTheta_O cosTheta_i) v) (log (* 2 v))))) v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- (/ (* cosTheta_O cosTheta_i) v) (log (* 2 v)))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (- (/ (* cosTheta_O cosTheta_i) v) (log (* 2 v))))) (pow v 2))))))))
(exp (- (/ (* cosTheta_O cosTheta_i) v) (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (/ (* cosTheta_O cosTheta_i) v) (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (/ (* cosTheta_O cosTheta_i) v) (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (/ (* cosTheta_O cosTheta_i) v) (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (/ (* cosTheta_O cosTheta_i) v) (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (/ (* cosTheta_O cosTheta_i) v) (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (/ (* cosTheta_O cosTheta_i) v) (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (/ (* cosTheta_O cosTheta_i) v) (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (/ 1 v) 6931/10000))
(exp (- (/ 1 v) 6931/10000))
(exp (- (/ 1 v) 6931/10000))
(exp (- (/ 1 v) 6931/10000))
(exp -6931/10000)
(+ (exp -6931/10000) (/ (exp -6931/10000) v))
(+ (exp -6931/10000) (+ (* 1/2 (/ (exp -6931/10000) (pow v 2))) (/ (exp -6931/10000) v)))
(+ (exp -6931/10000) (+ (* 1/6 (/ (exp -6931/10000) (pow v 3))) (+ (* 1/2 (/ (exp -6931/10000) (pow v 2))) (/ (exp -6931/10000) v))))
(exp -6931/10000)
(+ (exp -6931/10000) (/ (exp -6931/10000) v))
(+ (exp -6931/10000) (* -1 (/ (+ (* -1 (exp -6931/10000)) (* -1/2 (/ (exp -6931/10000) v))) v)))
(+ (exp -6931/10000) (* -1 (/ (+ (* -1 (exp -6931/10000)) (* -1 (/ (+ (* 1/6 (/ (exp -6931/10000) v)) (* 1/2 (exp -6931/10000))) v))) v)))
Outputs
(exp (- 6931/10000 (/ 1 v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
(+ (exp (- 6931/10000 (/ 1 v))) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) v)))
(fma.f32 sinTheta_O (/.f32 (*.f32 (neg.f32 sinTheta_i) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(+ (exp (- 6931/10000 (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- 6931/10000 (/ 1 v)))) v)) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- 6931/10000 (/ 1 v))))) (pow v 2))))))
(fma.f32 sinTheta_O (fma.f32 sinTheta_O (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_i sinTheta_i)) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (*.f32 v v))) (/.f32 (*.f32 (neg.f32 sinTheta_i) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) v)) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(+ (exp (- 6931/10000 (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- 6931/10000 (/ 1 v)))) v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- 6931/10000 (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (- 6931/10000 (/ 1 v)))) (pow v 2))))))))
(fma.f32 sinTheta_O (fma.f32 sinTheta_O (fma.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i))) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) (*.f32 v (*.f32 v v))) (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_i sinTheta_i)) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (*.f32 v v)))) (/.f32 (*.f32 (neg.f32 sinTheta_i) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) v)) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
(exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
(exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
(exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
(exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
(exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
(exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
(exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
(exp (- 6931/10000 (/ 1 v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
(+ (exp (- 6931/10000 (/ 1 v))) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) v)))
(fma.f32 sinTheta_O (/.f32 (*.f32 (neg.f32 sinTheta_i) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(+ (exp (- 6931/10000 (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- 6931/10000 (/ 1 v)))) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 2))))))
(fma.f32 sinTheta_i (fma.f32 sinTheta_O (neg.f32 (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) v)) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i)) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) (*.f32 v v))) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(+ (exp (- 6931/10000 (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- 6931/10000 (/ 1 v)))) v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (- 6931/10000 (/ 1 v)))) (pow v 2))))))))
(fma.f32 sinTheta_i (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_O) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (*.f32 v v))) (/.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) (*.f32 v (*.f32 v v)))) (/.f32 (*.f32 (neg.f32 sinTheta_O) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) v)) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
(exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
(exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
(exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
(exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
(exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
(exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
(exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
(exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
(exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
(exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
(exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
(exp 6931/10000)
(exp.f32 #s(literal 6931/10000 binary32))
(+ (exp 6931/10000) (* -1 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)))
(fma.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v)) (exp.f32 #s(literal 6931/10000 binary32)))
(+ (exp 6931/10000) (+ (* -1 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (* 1/2 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (pow v 2)))))
(fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (*.f32 v v)) (fma.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v)) (exp.f32 #s(literal 6931/10000 binary32))))
(+ (exp 6931/10000) (+ (* -1 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (+ (* -1/6 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (pow v 3))) (* 1/2 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (pow v 2))))))
(+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (*.f32 v v)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (/.f32 (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (*.f32 v (*.f32 v v))) (/.f32 (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (exp.f32 #s(literal 6931/10000 binary32))) (neg.f32 v)))))
(exp 6931/10000)
(exp.f32 #s(literal 6931/10000 binary32))
(+ (exp 6931/10000) (* -1 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)))
(fma.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v)) (exp.f32 #s(literal 6931/10000 binary32)))
(+ (exp 6931/10000) (* -1 (/ (+ (* -1/2 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) v)) (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))) v)))
(-.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (*.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal -1/2 binary32)) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) v)) v))
(+ (exp 6931/10000) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) v)) (* 1/2 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) v)) (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))) v)))
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(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v)))) v)
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v)))) v)
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v)))) v)
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v)))) v)
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v)))) v)
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v)))) v)
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v)))) v)
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v)))) v)
(* 1/2 (/ (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) v)
(+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))) (pow v 2))) (* 1/2 (/ (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v)))
(*.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_O (/.f32 (*.f32 cosTheta_i (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) (*.f32 v v)) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) v)))
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v)) (* cosTheta_O (+ (* 1/4 (/ (* cosTheta_O (* (pow cosTheta_i 2) (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))) (pow v 3))) (* 1/2 (/ (* cosTheta_i (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) (pow v 2))))))
(fma.f32 cosTheta_O (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta_i (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) (*.f32 v v)) (/.f32 (*.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 cosTheta_O (*.f32 cosTheta_i cosTheta_i))) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) (*.f32 v (*.f32 v v)))) (/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) v))
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v)) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_i (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) (pow v 2))) (* cosTheta_O (+ (* 1/12 (/ (* cosTheta_O (* (pow cosTheta_i 3) (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))) (pow v 4))) (* 1/4 (/ (* (pow cosTheta_i 2) (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) (pow v 3))))))))
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(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v)))) v)
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v)))) v)
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v)))) v)
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v)))) v)
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v)))) v)
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v)))) v)
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v)))) v)
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v)))) v)
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))) v)
(+ (* -1/2 (/ (* sinTheta_O (* sinTheta_i (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))))) (pow v 2))) (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)))
(fma.f32 sinTheta_O (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) sinTheta_i) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))) (*.f32 v v)) (/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))) v))
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)) (* sinTheta_i (+ (* -1/2 (/ (* sinTheta_O (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) (pow v 2))) (* 1/4 (/ (* (pow sinTheta_O 2) (* sinTheta_i (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))))) (pow v 3))))))
(fma.f32 sinTheta_i (fma.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) (*.f32 v v))) (/.f32 (*.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))) (*.f32 v (*.f32 v v)))) (/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))) v))
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)) (* sinTheta_i (+ (* -1/2 (/ (* sinTheta_O (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) (pow v 2))) (* sinTheta_i (+ (* -1/12 (/ (* (pow sinTheta_O 3) (* sinTheta_i (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))))) (pow v 4))) (* 1/4 (/ (* (pow sinTheta_O 2) (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) (pow v 3))))))))
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(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v)))) v)
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v)))) v)
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))) v))
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(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))) v))
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(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v)))) v)
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v)))) v)
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v)))) v)
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v)))) v)
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))) v)
(+ (* -1/2 (/ (* sinTheta_O (* sinTheta_i (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))))) (pow v 2))) (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)))
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(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)) (* sinTheta_O (+ (* -1/2 (/ (* sinTheta_i (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) (pow v 2))) (* 1/4 (/ (* sinTheta_O (* (pow sinTheta_i 2) (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))))) (pow v 3))))))
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(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)) (* sinTheta_O (+ (* -1/2 (/ (* sinTheta_i (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) (pow v 2))) (* sinTheta_O (+ (* -1/12 (/ (* sinTheta_O (* (pow sinTheta_i 3) (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))))) (pow v 4))) (* 1/4 (/ (* (pow sinTheta_i 2) (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) (pow v 3))))))))
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(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v)))) v)
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v)))) v)
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v)))) v)
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v)))) v)
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v)))) v)
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v)))) v)
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v)))) v)
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v)))) v)
(exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))
(exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v)))
(+ (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))) (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) v))
(fma.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v))) v) (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v))))
(+ (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) (pow v 2))) (/ (* cosTheta_O (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))))
(fma.f32 cosTheta_i (fma.f32 cosTheta_O (/.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v))) v) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_O) cosTheta_i)) (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v)))) (*.f32 v v))) (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v))))
(+ (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) (pow v 2))))) (/ (* cosTheta_O (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))))
(fma.f32 cosTheta_i (fma.f32 cosTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_O) (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v)))) (*.f32 v v)) (/.f32 (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 cosTheta_O (*.f32 cosTheta_O cosTheta_O)) cosTheta_i)) (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v)))) (*.f32 v (*.f32 v v)))) (/.f32 (*.f32 cosTheta_O (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v)))) v)) (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v))))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v))
(exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))
(exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v)))
(+ (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))) (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) v))
(fma.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v))) v) (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v))))
(+ (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) (pow v 2))) (/ (* cosTheta_i (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))))
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(+ (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) (pow v 2))))) (/ (* cosTheta_i (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))))
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(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) 1) v))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(+ (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) v)))
(fma.f32 sinTheta_O (/.f32 (*.f32 (neg.f32 sinTheta_i) (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) v) (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(+ (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) (pow v 2))))))
(fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) (*.f32 v v)) (/.f32 (*.f32 (neg.f32 sinTheta_O) (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 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (pow v 2))))))))
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(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) 1) v))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(+ (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) v)))
(fma.f32 sinTheta_O (/.f32 (*.f32 (neg.f32 sinTheta_i) (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) v) (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(+ (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) (pow v 2))))))
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(+ (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (pow v 2))))))))
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(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
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(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v))
1
#s(literal 1 binary32)
(- (+ 1 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v))
(- (+ 1 (+ (* 1/2 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(+.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32)))) (*.f32 v v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v)))
(- (+ 1 (+ (* 1/6 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3) (pow v 3))) (+ (* 1/2 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(+.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) (*.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))))) (*.f32 v (*.f32 v v))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32)))) (*.f32 v v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v))))
1
#s(literal 1 binary32)
(- (+ 1 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v))
(+ 1 (* -1 (/ (+ (* -1 (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) v))) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32)))) v) (neg.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))))) v))
(+ 1 (* -1 (/ (+ (* -1 (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) (* -1 (/ (+ (* 1/6 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3) v)) (* 1/2 (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2))) v))) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) (*.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))))) v) (*.f32 #s(literal 1/2 binary32) (*.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32)))))) (neg.f32 v)) (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32)))) v))
(* -1 (* sinTheta_O sinTheta_i))
(*.f32 sinTheta_O (neg.f32 sinTheta_i))
(- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))
(fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i))
(- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))
(fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i))
(- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))
(fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i))
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_i (+ cosTheta_O (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_i))))
(*.f32 cosTheta_i (fma.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i cosTheta_i) cosTheta_O))
(* cosTheta_i (+ cosTheta_O (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_i))))
(*.f32 cosTheta_i (fma.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i cosTheta_i) cosTheta_O))
(* cosTheta_i (+ cosTheta_O (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_i))))
(*.f32 cosTheta_i (fma.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i cosTheta_i) cosTheta_O))
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (/ (* sinTheta_O sinTheta_i) cosTheta_i))))
(*.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i cosTheta_i) (neg.f32 cosTheta_O)) (neg.f32 cosTheta_i))
(* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (/ (* sinTheta_O sinTheta_i) cosTheta_i))))
(*.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i cosTheta_i) (neg.f32 cosTheta_O)) (neg.f32 cosTheta_i))
(* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (/ (* sinTheta_O sinTheta_i) cosTheta_i))))
(*.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i cosTheta_i) (neg.f32 cosTheta_O)) (neg.f32 cosTheta_i))
(* -1 (* sinTheta_O sinTheta_i))
(*.f32 sinTheta_O (neg.f32 sinTheta_i))
(- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))
(fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i))
(- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))
(fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i))
(- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))
(fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i))
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O (+ cosTheta_i (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_O))))
(*.f32 cosTheta_O (fma.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i cosTheta_O) cosTheta_i))
(* cosTheta_O (+ cosTheta_i (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_O))))
(*.f32 cosTheta_O (fma.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i cosTheta_O) cosTheta_i))
(* cosTheta_O (+ cosTheta_i (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_O))))
(*.f32 cosTheta_O (fma.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i cosTheta_O) cosTheta_i))
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (/ (* sinTheta_O sinTheta_i) cosTheta_O))))
(neg.f32 (*.f32 cosTheta_O (fma.f32 sinTheta_O (/.f32 sinTheta_i cosTheta_O) (neg.f32 cosTheta_i))))
(* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (/ (* sinTheta_O sinTheta_i) cosTheta_O))))
(neg.f32 (*.f32 cosTheta_O (fma.f32 sinTheta_O (/.f32 sinTheta_i cosTheta_O) (neg.f32 cosTheta_i))))
(* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (/ (* sinTheta_O sinTheta_i) cosTheta_O))))
(neg.f32 (*.f32 cosTheta_O (fma.f32 sinTheta_O (/.f32 sinTheta_i cosTheta_O) (neg.f32 cosTheta_i))))
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))
(fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i))
(+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))
(fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i))
(+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))
(fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i))
(* -1 (* sinTheta_O sinTheta_i))
(*.f32 sinTheta_O (neg.f32 sinTheta_i))
(* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) sinTheta_i) sinTheta_O))
(*.f32 sinTheta_i (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i) sinTheta_O))
(* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) sinTheta_i) sinTheta_O))
(*.f32 sinTheta_i (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i) sinTheta_O))
(* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) sinTheta_i) sinTheta_O))
(*.f32 sinTheta_i (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i) sinTheta_O))
(* -1 (* sinTheta_O sinTheta_i))
(*.f32 sinTheta_O (neg.f32 sinTheta_i))
(* -1 (* sinTheta_i (- (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_i)) (* -1 sinTheta_O))))
(*.f32 sinTheta_i (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i) sinTheta_O))
(* -1 (* sinTheta_i (- (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_i)) (* -1 sinTheta_O))))
(*.f32 sinTheta_i (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i) sinTheta_O))
(* -1 (* sinTheta_i (- (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_i)) (* -1 sinTheta_O))))
(*.f32 sinTheta_i (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i) sinTheta_O))
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))
(fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i))
(+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))
(fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i))
(+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))
(fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i))
(* -1 (* sinTheta_O sinTheta_i))
(*.f32 sinTheta_O (neg.f32 sinTheta_i))
(* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i))
(*.f32 sinTheta_O (fma.f32 cosTheta_O (/.f32 cosTheta_i sinTheta_O) (neg.f32 sinTheta_i)))
(* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i))
(*.f32 sinTheta_O (fma.f32 cosTheta_O (/.f32 cosTheta_i sinTheta_O) (neg.f32 sinTheta_i)))
(* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i))
(*.f32 sinTheta_O (fma.f32 cosTheta_O (/.f32 cosTheta_i sinTheta_O) (neg.f32 sinTheta_i)))
(* -1 (* sinTheta_O sinTheta_i))
(*.f32 sinTheta_O (neg.f32 sinTheta_i))
(* -1 (* sinTheta_O (- (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (* -1 sinTheta_i))))
(*.f32 sinTheta_O (fma.f32 cosTheta_O (/.f32 cosTheta_i sinTheta_O) (neg.f32 sinTheta_i)))
(* -1 (* sinTheta_O (- (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (* -1 sinTheta_i))))
(*.f32 sinTheta_O (fma.f32 cosTheta_O (/.f32 cosTheta_i sinTheta_O) (neg.f32 sinTheta_i)))
(* -1 (* sinTheta_O (- (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (* -1 sinTheta_i))))
(*.f32 sinTheta_O (fma.f32 cosTheta_O (/.f32 cosTheta_i sinTheta_O) (neg.f32 sinTheta_i)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v)
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v)
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v)
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(* cosTheta_i (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ cosTheta_O v)))
(*.f32 cosTheta_i (fma.f32 sinTheta_O (neg.f32 (/.f32 sinTheta_i (*.f32 v cosTheta_i))) (/.f32 cosTheta_O v)))
(* cosTheta_i (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ cosTheta_O v)))
(*.f32 cosTheta_i (fma.f32 sinTheta_O (neg.f32 (/.f32 sinTheta_i (*.f32 v cosTheta_i))) (/.f32 cosTheta_O v)))
(* cosTheta_i (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ cosTheta_O v)))
(*.f32 cosTheta_i (fma.f32 sinTheta_O (neg.f32 (/.f32 sinTheta_i (*.f32 v cosTheta_i))) (/.f32 cosTheta_O v)))
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(*.f32 (neg.f32 cosTheta_i) (fma.f32 sinTheta_O (/.f32 sinTheta_i (*.f32 v cosTheta_i)) (/.f32 cosTheta_O (neg.f32 v))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(*.f32 (neg.f32 cosTheta_i) (fma.f32 sinTheta_O (/.f32 sinTheta_i (*.f32 v cosTheta_i)) (/.f32 cosTheta_O (neg.f32 v))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(*.f32 (neg.f32 cosTheta_i) (fma.f32 sinTheta_O (/.f32 sinTheta_i (*.f32 v cosTheta_i)) (/.f32 cosTheta_O (neg.f32 v))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v)
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v)
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v)
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(* cosTheta_O (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v)))
(*.f32 cosTheta_O (-.f32 (/.f32 cosTheta_i v) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 v cosTheta_O))))
(* cosTheta_O (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v)))
(*.f32 cosTheta_O (-.f32 (/.f32 cosTheta_i v) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 v cosTheta_O))))
(* cosTheta_O (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v)))
(*.f32 cosTheta_O (-.f32 (/.f32 cosTheta_i v) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 v cosTheta_O))))
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(*.f32 (neg.f32 cosTheta_O) (fma.f32 sinTheta_O (/.f32 sinTheta_i (*.f32 v cosTheta_O)) (/.f32 cosTheta_i (neg.f32 v))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(*.f32 (neg.f32 cosTheta_O) (fma.f32 sinTheta_O (/.f32 sinTheta_i (*.f32 v cosTheta_O)) (/.f32 cosTheta_i (neg.f32 v))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(*.f32 (neg.f32 cosTheta_O) (fma.f32 sinTheta_O (/.f32 sinTheta_i (*.f32 v cosTheta_O)) (/.f32 cosTheta_i (neg.f32 v))))
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v)
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v)
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v)
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v)
(* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))
(*.f32 sinTheta_i (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v sinTheta_i)) (/.f32 sinTheta_O v)))
(* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))
(*.f32 sinTheta_i (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v sinTheta_i)) (/.f32 sinTheta_O v)))
(* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))
(*.f32 sinTheta_i (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v sinTheta_i)) (/.f32 sinTheta_O v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v)
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ sinTheta_O v))))
(*.f32 (neg.f32 sinTheta_i) (fma.f32 (neg.f32 cosTheta_O) (/.f32 cosTheta_i (*.f32 v sinTheta_i)) (/.f32 sinTheta_O v)))
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ sinTheta_O v))))
(*.f32 (neg.f32 sinTheta_i) (fma.f32 (neg.f32 cosTheta_O) (/.f32 cosTheta_i (*.f32 v sinTheta_i)) (/.f32 sinTheta_O v)))
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ sinTheta_O v))))
(*.f32 (neg.f32 sinTheta_i) (fma.f32 (neg.f32 cosTheta_O) (/.f32 cosTheta_i (*.f32 v sinTheta_i)) (/.f32 sinTheta_O v)))
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v)
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v)
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v)
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v)
(* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))
(*.f32 sinTheta_O (fma.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v sinTheta_O)) (/.f32 sinTheta_i (neg.f32 v))))
(* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))
(*.f32 sinTheta_O (fma.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v sinTheta_O)) (/.f32 sinTheta_i (neg.f32 v))))
(* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))
(*.f32 sinTheta_O (fma.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v sinTheta_O)) (/.f32 sinTheta_i (neg.f32 v))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v)
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ sinTheta_i v))))
(*.f32 (neg.f32 sinTheta_O) (fma.f32 (neg.f32 cosTheta_O) (/.f32 cosTheta_i (*.f32 v sinTheta_O)) (/.f32 sinTheta_i v)))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ sinTheta_i v))))
(*.f32 (neg.f32 sinTheta_O) (fma.f32 (neg.f32 cosTheta_O) (/.f32 cosTheta_i (*.f32 v sinTheta_O)) (/.f32 sinTheta_i v)))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ sinTheta_i v))))
(*.f32 (neg.f32 sinTheta_O) (fma.f32 (neg.f32 cosTheta_O) (/.f32 cosTheta_i (*.f32 v sinTheta_O)) (/.f32 sinTheta_i v)))
(/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)
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(exp.f32 (-.f32 (-.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
(/ (exp (- (/ (* cosTheta_O cosTheta_i) v) (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (exp (- (/ 1 v) 6931/10000)))
(exp.f32 (-.f32 (-.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
(/ (exp (- (/ (* cosTheta_O cosTheta_i) v) (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (exp (- (/ 1 v) 6931/10000)))
(exp.f32 (-.f32 (-.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
(/ (exp (- (/ (* cosTheta_O cosTheta_i) v) (log (* 2 v)))) (exp (- (/ 1 v) 6931/10000)))
(exp.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))
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(+ (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- (/ (* cosTheta_O cosTheta_i) v) (log (* 2 v))))) (* v (exp (- (/ 1 v) 6931/10000))))) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- (/ (* cosTheta_O cosTheta_i) v) (log (* 2 v)))))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))))) (/ (exp (- (/ (* cosTheta_O cosTheta_i) v) (log (* 2 v)))) (exp (- (/ 1 v) 6931/10000))))
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(/ (exp (- (/ (* cosTheta_O cosTheta_i) v) (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (exp (- (/ 1 v) 6931/10000)))
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(/ (exp (- (/ (* cosTheta_O cosTheta_i) v) (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (exp (- (/ 1 v) 6931/10000)))
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(/ (exp (- (/ (* cosTheta_O cosTheta_i) v) (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (exp (- (/ 1 v) 6931/10000)))
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(/ (exp (- (/ (* cosTheta_O cosTheta_i) v) (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (exp (- (/ 1 v) 6931/10000)))
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(/ (exp (- (/ (* cosTheta_O cosTheta_i) v) (log (* 2 v)))) (exp (- (/ 1 v) 6931/10000)))
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(+ (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (- (/ (* cosTheta_O cosTheta_i) v) (log (* 2 v)))))) (* v (exp (- (/ 1 v) 6931/10000))))) (/ (exp (- (/ (* cosTheta_O cosTheta_i) v) (log (* 2 v)))) (exp (- (/ 1 v) 6931/10000))))
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(+ (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- (/ (* cosTheta_O cosTheta_i) v) (log (* 2 v))))) (* v (exp (- (/ 1 v) 6931/10000))))) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- (/ (* cosTheta_O cosTheta_i) v) (log (* 2 v)))))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))))) (/ (exp (- (/ (* cosTheta_O cosTheta_i) v) (log (* 2 v)))) (exp (- (/ 1 v) 6931/10000))))
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(/ (exp (- (/ (* cosTheta_O cosTheta_i) v) (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (exp (- (/ 1 v) 6931/10000)))
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(+ (exp (neg (+ (log -2) (* -1 (log (/ -1 v)))))) (* -1 (/ (+ (* -1 (* (exp (neg (+ (log -2) (* -1 (log (/ -1 v)))))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (* (exp (neg (+ (log -2) (* -1 (log (/ -1 v)))))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)) v))) v)))
(-.f32 (exp.f32 (-.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) (log.f32 #s(literal -2 binary32)))) (/.f32 (fma.f32 (exp.f32 (-.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) (log.f32 #s(literal -2 binary32)))) (neg.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i))) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)))) (exp.f32 (-.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) (log.f32 #s(literal -2 binary32))))) v)) v))
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(exp (neg (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 v #s(literal 2 binary32)) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
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(fma.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 v #s(literal 2 binary32)) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 v #s(literal 2 binary32)) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
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(+ (exp (neg (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (neg (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (neg (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_O (exp (neg (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v))))) v))))
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(exp (- (/ (* cosTheta_O cosTheta_i) v) (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v) (log.f32 (*.f32 v #s(literal 2 binary32)))))
(exp (- (/ (* cosTheta_O cosTheta_i) v) (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v) (log.f32 (*.f32 v #s(literal 2 binary32)))))
(exp (- (/ (* cosTheta_O cosTheta_i) v) (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v) (log.f32 (*.f32 v #s(literal 2 binary32)))))
(exp (- (/ (* cosTheta_O cosTheta_i) v) (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v) (log.f32 (*.f32 v #s(literal 2 binary32)))))
(exp (- (/ (* cosTheta_O cosTheta_i) v) (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v) (log.f32 (*.f32 v #s(literal 2 binary32)))))
(exp (- (/ (* cosTheta_O cosTheta_i) v) (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v) (log.f32 (*.f32 v #s(literal 2 binary32)))))
(exp (- (/ (* cosTheta_O cosTheta_i) v) (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v) (log.f32 (*.f32 v #s(literal 2 binary32)))))
(exp (- (/ (* cosTheta_O cosTheta_i) v) (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v) (log.f32 (*.f32 v #s(literal 2 binary32)))))
(exp (neg (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 v #s(literal 2 binary32)) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(+ (exp (neg (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (/ (* cosTheta_O (* cosTheta_i (exp (neg (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v)))))) v))
(fma.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 v #s(literal 2 binary32)) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 v #s(literal 2 binary32)) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(+ (exp (neg (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (neg (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_i (exp (neg (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(fma.f32 cosTheta_O (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i cosTheta_i)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 v #s(literal 2 binary32)) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) (*.f32 v v)) (/.f32 (*.f32 cosTheta_i (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 v #s(literal 2 binary32)) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) v)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 v #s(literal 2 binary32)) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(+ (exp (neg (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (neg (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (neg (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_i (exp (neg (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(fma.f32 cosTheta_O (fma.f32 cosTheta_O (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_i) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 v #s(literal 2 binary32)) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) (*.f32 v v)) (/.f32 (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i cosTheta_i)) cosTheta_i)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 v #s(literal 2 binary32)) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) (*.f32 v (*.f32 v v)))) (/.f32 (*.f32 cosTheta_i (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 v #s(literal 2 binary32)) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) v)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 v #s(literal 2 binary32)) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(exp (- (/ (* cosTheta_O cosTheta_i) v) (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v) (log.f32 (*.f32 v #s(literal 2 binary32)))))
(exp (- (/ (* cosTheta_O cosTheta_i) v) (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v) (log.f32 (*.f32 v #s(literal 2 binary32)))))
(exp (- (/ (* cosTheta_O cosTheta_i) v) (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v) (log.f32 (*.f32 v #s(literal 2 binary32)))))
(exp (- (/ (* cosTheta_O cosTheta_i) v) (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v) (log.f32 (*.f32 v #s(literal 2 binary32)))))
(exp (- (/ (* cosTheta_O cosTheta_i) v) (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v) (log.f32 (*.f32 v #s(literal 2 binary32)))))
(exp (- (/ (* cosTheta_O cosTheta_i) v) (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v) (log.f32 (*.f32 v #s(literal 2 binary32)))))
(exp (- (/ (* cosTheta_O cosTheta_i) v) (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v))))
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(exp (- (/ (* cosTheta_O cosTheta_i) v) (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v))))
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(exp (- (/ (* cosTheta_O cosTheta_i) v) (log (* 2 v))))
(/.f32 (exp.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (*.f32 v #s(literal 2 binary32)))
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(exp (- (/ (* cosTheta_O cosTheta_i) v) (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v))))
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(exp (- (/ (* cosTheta_O cosTheta_i) v) (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v))))
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(exp (- (/ (* cosTheta_O cosTheta_i) v) (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v))))
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(exp (- (/ (* cosTheta_O cosTheta_i) v) (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v))))
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(exp (- (/ (* cosTheta_O cosTheta_i) v) (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v))))
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(exp (- (/ (* cosTheta_O cosTheta_i) v) (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v))))
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(fma.f32 sinTheta_O (fma.f32 (neg.f32 sinTheta_i) (/.f32 (/.f32 (exp.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (*.f32 v #s(literal 2 binary32))) v) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i))) (/.f32 (exp.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (*.f32 v #s(literal 2 binary32)))) (*.f32 v v))) (/.f32 (exp.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (*.f32 v #s(literal 2 binary32))))
(+ (exp (- (/ (* cosTheta_O cosTheta_i) v) (log (* 2 v)))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- (/ (* cosTheta_O cosTheta_i) v) (log (* 2 v))))) v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- (/ (* cosTheta_O cosTheta_i) v) (log (* 2 v)))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (- (/ (* cosTheta_O cosTheta_i) v) (log (* 2 v))))) (pow v 2))))))))
(fma.f32 sinTheta_O (fma.f32 sinTheta_O (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_i sinTheta_i)) (/.f32 (/.f32 (exp.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (*.f32 v #s(literal 2 binary32))) (*.f32 v v)) (/.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i)))) (/.f32 (exp.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (*.f32 v #s(literal 2 binary32)))) (*.f32 v (*.f32 v v)))) (/.f32 (*.f32 sinTheta_i (/.f32 (exp.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (*.f32 v #s(literal 2 binary32)))) (neg.f32 v))) (/.f32 (exp.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (*.f32 v #s(literal 2 binary32))))
(exp (- (/ (* cosTheta_O cosTheta_i) v) (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v) (log.f32 (*.f32 v #s(literal 2 binary32)))))
(exp (- (/ (* cosTheta_O cosTheta_i) v) (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v) (log.f32 (*.f32 v #s(literal 2 binary32)))))
(exp (- (/ (* cosTheta_O cosTheta_i) v) (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v) (log.f32 (*.f32 v #s(literal 2 binary32)))))
(exp (- (/ (* cosTheta_O cosTheta_i) v) (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v) (log.f32 (*.f32 v #s(literal 2 binary32)))))
(exp (- (/ (* cosTheta_O cosTheta_i) v) (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v) (log.f32 (*.f32 v #s(literal 2 binary32)))))
(exp (- (/ (* cosTheta_O cosTheta_i) v) (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v) (log.f32 (*.f32 v #s(literal 2 binary32)))))
(exp (- (/ (* cosTheta_O cosTheta_i) v) (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v) (log.f32 (*.f32 v #s(literal 2 binary32)))))
(exp (- (/ (* cosTheta_O cosTheta_i) v) (+ (log (* 2 v)) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v) (log.f32 (*.f32 v #s(literal 2 binary32)))))
(exp (- (/ 1 v) 6931/10000))
(exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))
(exp (- (/ 1 v) 6931/10000))
(exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))
(exp (- (/ 1 v) 6931/10000))
(exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))
(exp (- (/ 1 v) 6931/10000))
(exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))
(exp -6931/10000)
(exp.f32 #s(literal -6931/10000 binary32))
(+ (exp -6931/10000) (/ (exp -6931/10000) v))
(+.f32 (exp.f32 #s(literal -6931/10000 binary32)) (/.f32 (exp.f32 #s(literal -6931/10000 binary32)) v))
(+ (exp -6931/10000) (+ (* 1/2 (/ (exp -6931/10000) (pow v 2))) (/ (exp -6931/10000) v)))
(+.f32 (exp.f32 #s(literal -6931/10000 binary32)) (fma.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal -6931/10000 binary32)) (*.f32 v v)) (/.f32 (exp.f32 #s(literal -6931/10000 binary32)) v)))
(+ (exp -6931/10000) (+ (* 1/6 (/ (exp -6931/10000) (pow v 3))) (+ (* 1/2 (/ (exp -6931/10000) (pow v 2))) (/ (exp -6931/10000) v))))
(+.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal -6931/10000 binary32)) (*.f32 v v)) (/.f32 (exp.f32 #s(literal -6931/10000 binary32)) v)) (fma.f32 #s(literal 1/6 binary32) (/.f32 (exp.f32 #s(literal -6931/10000 binary32)) (*.f32 v (*.f32 v v))) (exp.f32 #s(literal -6931/10000 binary32))))
(exp -6931/10000)
(exp.f32 #s(literal -6931/10000 binary32))
(+ (exp -6931/10000) (/ (exp -6931/10000) v))
(+.f32 (exp.f32 #s(literal -6931/10000 binary32)) (/.f32 (exp.f32 #s(literal -6931/10000 binary32)) v))
(+ (exp -6931/10000) (* -1 (/ (+ (* -1 (exp -6931/10000)) (* -1/2 (/ (exp -6931/10000) v))) v)))
(-.f32 (exp.f32 #s(literal -6931/10000 binary32)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (exp.f32 #s(literal -6931/10000 binary32)) v) (neg.f32 (exp.f32 #s(literal -6931/10000 binary32)))) v))
(+ (exp -6931/10000) (* -1 (/ (+ (* -1 (exp -6931/10000)) (* -1 (/ (+ (* 1/6 (/ (exp -6931/10000) v)) (* 1/2 (exp -6931/10000))) v))) v)))
(-.f32 (exp.f32 #s(literal -6931/10000 binary32)) (/.f32 (-.f32 (neg.f32 (exp.f32 #s(literal -6931/10000 binary32))) (/.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 (exp.f32 #s(literal -6931/10000 binary32)) v) (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal -6931/10000 binary32)))) v)) v))

eval123.0ms (0.9%)

Memory
16.6MiB live, 327.3MiB allocated
Compiler

Compiled 38 438 to 3 262 computations (91.5% saved)

prune149.0ms (1.1%)

Memory
8.3MiB live, 301.2MiB allocated
Pruning

18 alts after pruning (18 fresh and 0 done)

PrunedKeptTotal
New1 300181 318
Fresh000
Picked505
Done000
Total1 305181 323
Accuracy
99.8%
Counts
1 323 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
20.3%
(/.f32 (pow.f32 (exp.f32 (-.f32 (pow.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) #s(literal 2 binary32)) (/.f32 (*.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i))) (*.f32 v v)))) (/.f32 #s(literal 1 binary32) (-.f32 (neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v)))) (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
12.9%
(/.f32 (pow.f32 (exp.f32 (+.f32 (/.f32 (*.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) (*.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)))) (*.f32 v (*.f32 v v))) (pow.f32 (neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32)))) #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v) (-.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v) (neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32))))) (pow.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) #s(literal 2 binary32))))) (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
63.3%
(/.f32 (/.f32 (exp.f32 (/.f32 (pow.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) #s(literal 2 binary32)) (-.f32 (neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v)))) (exp.f32 (/.f32 (/.f32 (*.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i))) (*.f32 v v)) (-.f32 (neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v))))) (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
4.7%
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) v)
99.6%
(/.f32 #s(literal 1 binary32) (/.f32 v (*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v)))) #s(literal 1/2 binary32))))
99.7%
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))))
99.6%
(/.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 (log.f32 v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))))
86.0%
(*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 #s(literal 1 binary32) v))) (exp.f32 (-.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v) #s(literal -6931/10000 binary32))))
99.1%
(*.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 v #s(literal 2 binary32))) (pow.f32 (pow.f32 (exp.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32)))) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32))))
99.2%
(*.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 v #s(literal 2 binary32))) (pow.f32 (exp.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) v)))
99.1%
(*.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 v #s(literal 2 binary32))) (pow.f32 (E.f32) (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v)))
99.7%
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v))) (exp.f32 #s(literal 6931/10000 binary32))))
99.6%
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
4.7%
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)))
99.2%
(*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32)))))) (exp.f32 (/.f32 (+.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v)))
96.9%
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
15.0%
(exp.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
99.5%
(exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
Compiler

Compiled 1 016 to 634 computations (37.6% saved)

simplify196.0ms (1.4%)

Memory
-0.8MiB live, 229.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f32 v #s(literal 2 binary32))
cost-diff0
(exp.f32 #s(literal 6931/10000 binary32))
cost-diff0
(/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 v #s(literal 2 binary32)))
cost-diff0
(*.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 v #s(literal 2 binary32))) (pow.f32 (exp.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) v)))
cost-diff0
(exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v)))
cost-diff0
(/.f32 #s(literal 1/2 binary32) v)
cost-diff0
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v))) (exp.f32 #s(literal 6931/10000 binary32))))
cost-diff3328
(*.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 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 cosTheta_O cosTheta_i)
cost-diff0
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
cost-diff0
(exp.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
cost-diff0
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))
cost-diff128
(-.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))
cost-diff160
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))))
cost-diff544
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))))
Rules
3 600×lower-*.f64
3 586×lower-*.f32
2 244×lower-fma.f64
2 236×lower-fma.f32
1 726×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043323
077317
1135315
2272313
3596313
41495308
54126308
65632308
08461303
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))))
#s(literal 1 binary32)
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v) (+.f32 (/.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 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
(-.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))
(/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v)
(fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i))
sinTheta_O
(neg.f32 sinTheta_i)
sinTheta_i
(*.f32 cosTheta_O cosTheta_i)
cosTheta_O
cosTheta_i
(+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))
(/.f32 #s(literal 1 binary32) v)
#s(literal -6931/10000 binary32)
(exp.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O cosTheta_i)
cosTheta_O
cosTheta_i
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)
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 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 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v))) (exp.f32 #s(literal 6931/10000 binary32)))
(exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v)))
(/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v))
(fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))
sinTheta_O
sinTheta_i
#s(literal 1 binary32)
(neg.f32 v)
(exp.f32 #s(literal 6931/10000 binary32))
#s(literal 6931/10000 binary32)
(*.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 v #s(literal 2 binary32))) (pow.f32 (exp.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) v)))
(/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 v #s(literal 2 binary32)))
(exp.f32 #s(literal 6931/10000 binary32))
#s(literal 6931/10000 binary32)
(*.f32 v #s(literal 2 binary32))
v
#s(literal 2 binary32)
(pow.f32 (exp.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) v))
(exp.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))))
(fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32)))
cosTheta_O
cosTheta_i
(fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))
sinTheta_O
(neg.f32 sinTheta_i)
sinTheta_i
#s(literal -1 binary32)
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
Outputs
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))))
(/.f32 (exp.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) (*.f32 v #s(literal 2 binary32)))
#s(literal 1 binary32)
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))))
(*.f32 v (*.f32 #s(literal 2 binary32) (exp.f32 (-.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 6931/10000 binary32))))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))
(/.f32 (exp.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) (*.f32 v #s(literal 2 binary32)))
(/.f32 #s(literal 1/2 binary32) v)
#s(literal 1/2 binary32)
v
(exp.f32 (-.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
(exp.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
(-.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
(/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v)
(fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i))
sinTheta_O
(neg.f32 sinTheta_i)
sinTheta_i
(*.f32 cosTheta_O cosTheta_i)
cosTheta_O
cosTheta_i
(+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))
(/.f32 #s(literal 1 binary32) v)
#s(literal -6931/10000 binary32)
(exp.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O cosTheta_i)
cosTheta_O
cosTheta_i
v
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (*.f32 v #s(literal 2 binary32)))
(/.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 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v))) (exp.f32 #s(literal 6931/10000 binary32))))
(/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (*.f32 v #s(literal 2 binary32)))
(/.f32 #s(literal 1/2 binary32) v)
#s(literal 1/2 binary32)
v
(*.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v))) (exp.f32 #s(literal 6931/10000 binary32)))
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
(exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v)))
(exp.f32 (neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
(/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v))
(neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))
(fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))
sinTheta_O
sinTheta_i
#s(literal 1 binary32)
(neg.f32 v)
(exp.f32 #s(literal 6931/10000 binary32))
#s(literal 6931/10000 binary32)
(*.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 v #s(literal 2 binary32))) (pow.f32 (exp.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) v)))
(*.f32 (pow.f32 (exp.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) (*.f32 v (exp.f32 #s(literal -6931/10000 binary32)))))
(/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 v #s(literal 2 binary32)))
(/.f32 #s(literal 1/2 binary32) (*.f32 v (exp.f32 #s(literal -6931/10000 binary32))))
(exp.f32 #s(literal 6931/10000 binary32))
#s(literal 6931/10000 binary32)
(*.f32 v #s(literal 2 binary32))
v
#s(literal 2 binary32)
(pow.f32 (exp.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) v))
(pow.f32 (exp.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) v))
(exp.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))))
(exp.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))))
(fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32)))
(fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)))
cosTheta_O
cosTheta_i
(fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))
sinTheta_O
(neg.f32 sinTheta_i)
sinTheta_i
#s(literal -1 binary32)
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)

localize174.0ms (1.3%)

Memory
-2.7MiB live, 233.3MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(exp.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))))
accuracy100.0%
(*.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 v #s(literal 2 binary32))) (pow.f32 (exp.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) v)))
accuracy99.8%
(/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 v #s(literal 2 binary32)))
accuracy99.5%
(pow.f32 (exp.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) v))
accuracy100.0%
(exp.f32 #s(literal 6931/10000 binary32))
accuracy100.0%
(*.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v))) (exp.f32 #s(literal 6931/10000 binary32)))
accuracy100.0%
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v))) (exp.f32 #s(literal 6931/10000 binary32))))
accuracy99.6%
(exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v)))
accuracy100.0%
(/.f32 #s(literal -1 binary32) v)
accuracy100.0%
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
accuracy99.8%
(+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))
accuracy99.6%
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
accuracy100.0%
(*.f32 cosTheta_O cosTheta_i)
accuracy100.0%
(exp.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
accuracy97.8%
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
accuracy100.0%
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))
accuracy99.8%
(+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))
accuracy99.6%
(exp.f32 (-.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
accuracy98.5%
(/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v)
Samples
71.0ms195×0exit
21.0ms61×0valid
Compiler

Compiled 346 to 47 computations (86.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 68.0ms
ival-div: 21.0ms (30.7% of total)
ival-exp: 12.0ms (17.6% of total)
ival-mult: 11.0ms (16.1% of total)
const: 9.0ms (13.2% of total)
ival-add: 7.0ms (10.2% of total)
ival-pow: 5.0ms (7.3% of total)
ival-neg: 2.0ms (2.9% of total)
ival-sub: 1.0ms (1.5% of total)
exact: 1.0ms (1.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series356.0ms (2.6%)

Memory
17.9MiB live, 403.7MiB allocated
Counts
19 → 624
Calls
Call 1
Inputs
#<alt (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v)>
#<alt (exp.f32 (-.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))>
#<alt (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))>
#<alt (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (exp.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v))>
#<alt (*.f32 cosTheta_O cosTheta_i)>
#<alt (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))>
#<alt (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))>
#<alt (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))>
#<alt (/.f32 #s(literal -1 binary32) v)>
#<alt (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v)))>
#<alt (*.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v))) (exp.f32 #s(literal 6931/10000 binary32))))>
#<alt (*.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v))) (exp.f32 #s(literal 6931/10000 binary32)))>
#<alt (exp.f32 #s(literal 6931/10000 binary32))>
#<alt (pow.f32 (exp.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) v))>
#<alt (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 v #s(literal 2 binary32)))>
#<alt (*.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 v #s(literal 2 binary32))) (pow.f32 (exp.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) v)))>
#<alt (exp.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))))>
Outputs
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))>
#<alt (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))>
#<alt (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ sinTheta_i v))))>
#<alt (* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ sinTheta_i v))))>
#<alt (* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ sinTheta_i v))))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))>
#<alt (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))>
#<alt (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ sinTheta_O v))))>
#<alt (* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ sinTheta_O v))))>
#<alt (* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ sinTheta_O v))))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* cosTheta_O (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v)))>
#<alt (* cosTheta_O (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v)))>
#<alt (* cosTheta_O (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v)))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))>
#<alt (* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))>
#<alt (* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* cosTheta_i (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ cosTheta_O v)))>
#<alt (* cosTheta_i (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ cosTheta_O v)))>
#<alt (* cosTheta_i (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ cosTheta_O v)))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))>
#<alt (* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))>
#<alt (* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))>
#<alt (/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) v)>
#<alt (/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) v)>
#<alt (/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) v)>
#<alt (/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) v)>
#<alt (/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) v)>
#<alt (/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) v)>
#<alt (/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) v)>
#<alt (/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) v)>
#<alt (/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) v)>
#<alt (/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) v)>
#<alt (/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) v)>
#<alt (/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) v)>
#<alt (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))>
#<alt (+ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) v)))>
#<alt (+ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) v)) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (pow v 2))))))>
#<alt (+ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) (pow v 2))))))))>
#<alt (exp (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))>
#<alt (exp (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))>
#<alt (exp (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))>
#<alt (exp (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))>
#<alt (exp (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))>
#<alt (exp (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))>
#<alt (exp (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))>
#<alt (exp (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))>
#<alt (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))>
#<alt (+ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) v)))>
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#<alt (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))>
#<alt (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))>
#<alt (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))>
#<alt (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))>
#<alt (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v))>
#<alt (+ (* -1/2 (/ (* sinTheta_O (* sinTheta_i (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))))) (pow v 2))) (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)))>
#<alt (+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)) (* sinTheta_i (+ (* -1/2 (/ (* sinTheta_O (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) (pow v 2))) (* 1/2 (/ (* sinTheta_i (* (exp 6931/10000) (* (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (+ (* 1/2 (/ (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)) v)) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))))) v)))))>
#<alt (+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)) (* sinTheta_i (+ (* -1/2 (/ (* sinTheta_O (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) (pow v 2))) (* sinTheta_i (+ (* 1/2 (/ (* sinTheta_i (* (exp 6931/10000) (* (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (+ (* -1/2 (/ (* sinTheta_O (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2))) (pow v 2))) (+ (* -1/6 (/ (pow sinTheta_O 3) (pow v 3))) (* 1/6 (/ (+ (* -2 (pow sinTheta_O 3)) (+ (* -1 (pow sinTheta_O 3)) (* 3 (pow sinTheta_O 3)))) v))))))) v)) (* 1/2 (/ (* (exp 6931/10000) (* (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (+ (* 1/2 (/ (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)) v)) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2)))))) v)))))))>
#<alt (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))>
#<alt (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))>
#<alt (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))>
#<alt (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))>
#<alt (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))>
#<alt (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))>
#<alt (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))>
#<alt (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))>
#<alt (exp (- (* -1 (* sinTheta_O sinTheta_i)) 1))>
#<alt (+ (exp (- (* -1 (* sinTheta_O sinTheta_i)) 1)) (* cosTheta_O (* cosTheta_i (exp (- (* -1 (* sinTheta_O sinTheta_i)) 1)))))>
#<alt (+ (exp (- (* -1 (* sinTheta_O sinTheta_i)) 1)) (* cosTheta_O (+ (* 1/2 (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (* -1 (* sinTheta_O sinTheta_i)) 1))))) (* cosTheta_i (exp (- (* -1 (* sinTheta_O sinTheta_i)) 1))))))>
#<alt (+ (exp (- (* -1 (* sinTheta_O sinTheta_i)) 1)) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (* -1 (* sinTheta_O sinTheta_i)) 1))))) (* 1/2 (* (pow cosTheta_i 2) (exp (- (* -1 (* sinTheta_O sinTheta_i)) 1)))))) (* cosTheta_i (exp (- (* -1 (* sinTheta_O sinTheta_i)) 1))))))>
#<alt (exp (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1))>
#<alt (exp (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1))>
#<alt (exp (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1))>
#<alt (exp (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1))>
#<alt (exp (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1))>
#<alt (exp (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1))>
#<alt (exp (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1))>
#<alt (exp (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1))>
#<alt (exp (- (* -1 (* sinTheta_O sinTheta_i)) 1))>
#<alt (+ (exp (- (* -1 (* sinTheta_O sinTheta_i)) 1)) (* cosTheta_O (* cosTheta_i (exp (- (* -1 (* sinTheta_O sinTheta_i)) 1)))))>
#<alt (+ (exp (- (* -1 (* sinTheta_O sinTheta_i)) 1)) (* cosTheta_i (+ (* 1/2 (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (* -1 (* sinTheta_O sinTheta_i)) 1))))) (* cosTheta_O (exp (- (* -1 (* sinTheta_O sinTheta_i)) 1))))))>
#<alt (+ (exp (- (* -1 (* sinTheta_O sinTheta_i)) 1)) (* cosTheta_i (+ (* cosTheta_O (exp (- (* -1 (* sinTheta_O sinTheta_i)) 1))) (* cosTheta_i (+ (* 1/6 (* (pow cosTheta_O 3) (* cosTheta_i (exp (- (* -1 (* sinTheta_O sinTheta_i)) 1))))) (* 1/2 (* (pow cosTheta_O 2) (exp (- (* -1 (* sinTheta_O sinTheta_i)) 1)))))))))>
#<alt (exp (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1))>
#<alt (exp (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1))>
#<alt (exp (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1))>
#<alt (exp (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1))>
#<alt (exp (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1))>
#<alt (exp (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1))>
#<alt (exp (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1))>
#<alt (exp (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1))>
#<alt (exp (- (* cosTheta_O cosTheta_i) 1))>
#<alt (+ (exp (- (* cosTheta_O cosTheta_i) 1)) (* -1 (* sinTheta_O (* sinTheta_i (exp (- (* cosTheta_O cosTheta_i) 1))))))>
#<alt (+ (exp (- (* cosTheta_O cosTheta_i) 1)) (* sinTheta_O (+ (* -1 (* sinTheta_i (exp (- (* cosTheta_O cosTheta_i) 1)))) (* 1/2 (* sinTheta_O (* (pow sinTheta_i 2) (exp (- (* cosTheta_O cosTheta_i) 1))))))))>
#<alt (+ (exp (- (* cosTheta_O cosTheta_i) 1)) (* sinTheta_O (+ (* -1 (* sinTheta_i (exp (- (* cosTheta_O cosTheta_i) 1)))) (* sinTheta_O (+ (* -1/6 (* sinTheta_O (* (pow sinTheta_i 3) (exp (- (* cosTheta_O cosTheta_i) 1))))) (* 1/2 (* (pow sinTheta_i 2) (exp (- (* cosTheta_O cosTheta_i) 1)))))))))>
#<alt (exp (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1))>
#<alt (exp (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1))>
#<alt (exp (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1))>
#<alt (exp (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1))>
#<alt (exp (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1))>
#<alt (exp (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1))>
#<alt (exp (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1))>
#<alt (exp (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1))>
#<alt (exp (- (* cosTheta_O cosTheta_i) 1))>
#<alt (+ (exp (- (* cosTheta_O cosTheta_i) 1)) (* -1 (* sinTheta_O (* sinTheta_i (exp (- (* cosTheta_O cosTheta_i) 1))))))>
#<alt (+ (exp (- (* cosTheta_O cosTheta_i) 1)) (* sinTheta_i (+ (* -1 (* sinTheta_O (exp (- (* cosTheta_O cosTheta_i) 1)))) (* 1/2 (* (pow sinTheta_O 2) (* sinTheta_i (exp (- (* cosTheta_O cosTheta_i) 1))))))))>
#<alt (+ (exp (- (* cosTheta_O cosTheta_i) 1)) (* sinTheta_i (+ (* -1 (* sinTheta_O (exp (- (* cosTheta_O cosTheta_i) 1)))) (* sinTheta_i (+ (* -1/6 (* (pow sinTheta_O 3) (* sinTheta_i (exp (- (* cosTheta_O cosTheta_i) 1))))) (* 1/2 (* (pow sinTheta_O 2) (exp (- (* cosTheta_O cosTheta_i) 1)))))))))>
#<alt (exp (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1))>
#<alt (exp (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1))>
#<alt (exp (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1))>
#<alt (exp (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1))>
#<alt (exp (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1))>
#<alt (exp (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1))>
#<alt (exp (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1))>
#<alt (exp (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1))>
Calls

156 calls:

TimeVariablePointExpression
75.0ms
cosTheta_i
@-inf
(pow (exp (+ (* cosTheta_O cosTheta_i) (+ (* sinTheta_O (neg sinTheta_i)) -1))) (/ 1 v))
56.0ms
sinTheta_i
@-inf
(pow (exp (+ (* cosTheta_O cosTheta_i) (+ (* sinTheta_O (neg sinTheta_i)) -1))) (/ 1 v))
53.0ms
sinTheta_O
@-inf
(pow (exp (+ (* cosTheta_O cosTheta_i) (+ (* sinTheta_O (neg sinTheta_i)) -1))) (/ 1 v))
29.0ms
cosTheta_i
@inf
(pow (exp (+ (* cosTheta_O cosTheta_i) (+ (* sinTheta_O (neg sinTheta_i)) -1))) (/ 1 v))
20.0ms
cosTheta_O
@-inf
(pow (exp (+ (* cosTheta_O cosTheta_i) (+ (* sinTheta_O (neg sinTheta_i)) -1))) (/ 1 v))

rewrite348.0ms (2.6%)

Memory
16.6MiB live, 531.5MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 328×lower-*.f64
5 314×lower-*.f32
4 832×lower-/.f64
4 818×lower-/.f32
2 722×lower-fma.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
041172
073170
1259162
21988159
08742159
Stop Event
iter limit
node limit
iter limit
Counts
19 → 630
Calls
Call 1
Inputs
(/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v)
(exp.f32 (-.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
(+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(exp.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(*.f32 cosTheta_O cosTheta_i)
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(/.f32 #s(literal -1 binary32) v)
(exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v)))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v))) (exp.f32 #s(literal 6931/10000 binary32))))
(*.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v))) (exp.f32 #s(literal 6931/10000 binary32)))
(exp.f32 #s(literal 6931/10000 binary32))
(pow.f32 (exp.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) v))
(/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 v #s(literal 2 binary32)))
(*.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 v #s(literal 2 binary32))) (pow.f32 (exp.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) v)))
(exp.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))))
Outputs
(neg.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) (neg.f32 v)))
(exp.f32 (*.f32 (log.f32 (/.f32 v (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)))) #s(literal -1 binary32)))
(pow.f32 (/.f32 v (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i))) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 v (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i))) #s(literal 1 binary32)) #s(literal -1 binary32))
(-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 v)) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) (neg.f32 v)))
(-.f32 (/.f32 (/.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 sinTheta_O sinTheta_i)) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (neg.f32 (*.f32 cosTheta_O cosTheta_i)))) v) (/.f32 (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 cosTheta_O cosTheta_i))) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (neg.f32 (*.f32 cosTheta_O cosTheta_i)))) v))
(-.f32 (/.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 sinTheta_O sinTheta_i)) (*.f32 v (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (neg.f32 (*.f32 cosTheta_O cosTheta_i))))) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 cosTheta_O cosTheta_i))) (*.f32 v (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (neg.f32 (*.f32 cosTheta_O cosTheta_i))))))
(/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v)
(/.f32 #s(literal 1 binary32) (/.f32 v (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 v (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 v (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (/.f32 v (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i))) #s(literal 1 binary32))))
(/.f32 (neg.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i))) (neg.f32 v))
(/.f32 (fma.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 cosTheta_O cosTheta_i))) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i)))) (*.f32 v (fma.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_i)) (*.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (neg.f32 sinTheta_i)))))))
(/.f32 (fma.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_i)) (neg.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 cosTheta_O cosTheta_i))))) (*.f32 v (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (neg.f32 (*.f32 cosTheta_O cosTheta_i)))))
(/.f32 (*.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) #s(literal 1 binary32)) v)
(/.f32 (*.f32 (fma.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 cosTheta_O cosTheta_i))) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i)))) #s(literal 1 binary32)) (*.f32 (fma.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_i)) (*.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (neg.f32 sinTheta_i))))) v))
(/.f32 (*.f32 (fma.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 cosTheta_O cosTheta_i))) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i)))) #s(literal -1 binary32)) (*.f32 (fma.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_i)) (*.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (neg.f32 sinTheta_i))))) (neg.f32 v)))
(/.f32 (*.f32 (fma.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_i)) (neg.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 cosTheta_O cosTheta_i))))) #s(literal 1 binary32)) (*.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (neg.f32 (*.f32 cosTheta_O cosTheta_i))) v))
(/.f32 (*.f32 (fma.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_i)) (neg.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 cosTheta_O cosTheta_i))))) #s(literal -1 binary32)) (*.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (neg.f32 (*.f32 cosTheta_O cosTheta_i))) (neg.f32 v)))
(/.f32 (neg.f32 (neg.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)))) v)
(/.f32 (neg.f32 (fma.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 cosTheta_O cosTheta_i))) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i))))) (neg.f32 (*.f32 v (fma.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_i)) (*.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (neg.f32 sinTheta_i))))))))
(/.f32 (neg.f32 (fma.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_i)) (neg.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 cosTheta_O cosTheta_i)))))) (neg.f32 (*.f32 v (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (neg.f32 (*.f32 cosTheta_O cosTheta_i))))))
(/.f32 (*.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) #s(literal -1 binary32)) (neg.f32 v))
(/.f32 (*.f32 (fma.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 cosTheta_O cosTheta_i))) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i)))) (/.f32 #s(literal 1 binary32) v)) (fma.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_i)) (*.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (neg.f32 sinTheta_i))))))
(/.f32 (*.f32 (fma.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_i)) (neg.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 cosTheta_O cosTheta_i))))) (/.f32 #s(literal 1 binary32) v)) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (neg.f32 (*.f32 cosTheta_O cosTheta_i))))
(/.f32 (/.f32 (neg.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i))) #s(literal -1 binary32)) v)
(/.f32 (neg.f32 (*.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) #s(literal 1 binary32))) (neg.f32 v))
(/.f32 (neg.f32 (*.f32 (fma.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 cosTheta_O cosTheta_i))) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i)))) #s(literal 1 binary32))) (neg.f32 (*.f32 (fma.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_i)) (*.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (neg.f32 sinTheta_i))))) v)))
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(*.f32 (/.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v)) (*.f32 v #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (exp.f32 #s(literal -6931/10000 binary32))))
(*.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v) #s(literal 6931/10000 binary32))) v) #s(literal 1/2 binary32))
(*.f32 (/.f32 (exp.f32 (*.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) v))) v) (/.f32 (exp.f32 (*.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 2 binary32) (exp.f32 #s(literal 6931/10000 binary32)))))
(*.f32 (/.f32 (exp.f32 (*.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) v))) #s(literal 2 binary32)) (/.f32 (exp.f32 (*.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) v))) (/.f32 v (exp.f32 #s(literal 6931/10000 binary32)))))
(*.f32 (/.f32 (exp.f32 (*.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) v))) (*.f32 v #s(literal 2 binary32))) (/.f32 (exp.f32 (*.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) v))) (exp.f32 #s(literal -6931/10000 binary32))))
(*.f32 (/.f32 (exp.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) v) (/.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v))) (/.f32 #s(literal 2 binary32) (exp.f32 #s(literal 6931/10000 binary32)))))
(*.f32 (/.f32 (exp.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) #s(literal 2 binary32)) (/.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v))) (/.f32 v (exp.f32 #s(literal 6931/10000 binary32)))))
(*.f32 (/.f32 (exp.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (*.f32 v #s(literal 2 binary32))) (/.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v))) (exp.f32 #s(literal -6931/10000 binary32))))
(*.f32 (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (*.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) v)))) v) (/.f32 (exp.f32 (*.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) v))) #s(literal 2 binary32)))
(*.f32 (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (*.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) v)))) #s(literal 2 binary32)) (/.f32 (exp.f32 (*.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) v))) v))
(*.f32 (/.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v)) #s(literal -1 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v)))
(*.f32 (/.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v)) (neg.f32 v)) (/.f32 (neg.f32 (exp.f32 #s(literal 6931/10000 binary32))) #s(literal 2 binary32)))
(*.f32 (/.f32 (neg.f32 (exp.f32 #s(literal 6931/10000 binary32))) #s(literal 2 binary32)) (/.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v)) (neg.f32 v)))
(*.f32 (/.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v)) #s(literal -2 binary32)) (/.f32 (neg.f32 (exp.f32 #s(literal 6931/10000 binary32))) v))
(*.f32 (/.f32 (neg.f32 (exp.f32 #s(literal 6931/10000 binary32))) v) (/.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v)) #s(literal -2 binary32)))
(*.f32 (/.f32 (neg.f32 (exp.f32 #s(literal 6931/10000 binary32))) #s(literal -1 binary32)) (/.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v)) (*.f32 v #s(literal 2 binary32))))
(*.f32 (/.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v)) (exp.f32 #s(literal -6931/10000 binary32))) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 (/.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v)) v) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) #s(literal 2 binary32)))
(*.f32 (/.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v)) #s(literal 2 binary32)) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) v))
(*.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v) #s(literal 6931/10000 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) v))
(*.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v) #s(literal 6931/10000 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal -1/2 binary32) v))
(*.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v) #s(literal 6931/10000 binary32))) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v))
(*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) 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 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v)))
(exp.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))))
(exp.f32 (*.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) #s(literal 1 binary32)))
(pow.f32 (exp.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)))) #s(literal 1 binary32))
(pow.f32 (exp.f32 (fma.f32 (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 cosTheta_O cosTheta_i)))))) (/.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (-.f32 (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (*.f32 cosTheta_O cosTheta_i)) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 cosTheta_O cosTheta_i))))))
(pow.f32 (exp.f32 (-.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 cosTheta_O cosTheta_i))) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))))) (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 cosTheta_O cosTheta_i) (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))))))
(/.f32 (exp.f32 (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 cosTheta_O cosTheta_i))) (-.f32 (*.f32 cosTheta_O cosTheta_i) (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))))) (exp.f32 (/.f32 (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (-.f32 (*.f32 cosTheta_O cosTheta_i) (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))))))
(*.f32 (exp.f32 (*.f32 cosTheta_O cosTheta_i)) (exp.f32 (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))))
(*.f32 (exp.f32 (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (exp.f32 (*.f32 cosTheta_O cosTheta_i)))
(*.f32 (exp.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i))) (exp.f32 #s(literal -1 binary32)))
(*.f32 (exp.f32 #s(literal -1 binary32)) (exp.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i))))
(*.f32 (exp.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i))) (exp.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))))
(*.f32 (exp.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i))) (exp.f32 (+.f32 #s(literal -1 binary32) (*.f32 cosTheta_O cosTheta_i))))
(*.f32 (pow.f32 (exp.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i))) #s(literal 1 binary32)) (pow.f32 (exp.f32 #s(literal -1 binary32)) #s(literal 1 binary32)))
(*.f32 (pow.f32 (exp.f32 (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) #s(literal 1 binary32)) (pow.f32 (exp.f32 (*.f32 cosTheta_O cosTheta_i)) #s(literal 1 binary32)))
(*.f32 (pow.f32 (exp.f32 (*.f32 cosTheta_O cosTheta_i)) #s(literal 1 binary32)) (pow.f32 (exp.f32 (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) #s(literal 1 binary32)))
(*.f32 (exp.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) (exp.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i))))

simplify467.0ms (3.4%)

Memory
0.1MiB live, 910.6MiB allocated
Algorithm
egg-herbie
Rules
10 456×lower-fma.f64
10 456×lower-fma.f32
8 464×lower-*.f64
8 464×lower-*.f32
5 248×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0107311497
1348110707
088879966
Stop Event
iter limit
node limit
Counts
624 → 624
Calls
Call 1
Inputs
(/ (* cosTheta_O cosTheta_i) v)
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))
(* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))
(* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ sinTheta_i v))))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ sinTheta_i v))))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ sinTheta_i v))))
(/ (* cosTheta_O cosTheta_i) v)
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))
(* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))
(* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ sinTheta_O v))))
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ sinTheta_O v))))
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ sinTheta_O v))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_O (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v)))
(* cosTheta_O (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v)))
(* cosTheta_O (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v)))
(/ (* cosTheta_O cosTheta_i) v)
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_i (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ cosTheta_O v)))
(* cosTheta_i (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ cosTheta_O v)))
(* cosTheta_i (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ cosTheta_O v)))
(/ (* cosTheta_O cosTheta_i) v)
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) v)
(/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) v)
(/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) v)
(/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) v)
(/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) v)
(/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) v)
(/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) v)
(/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) v)
(/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) v)
(/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) v)
(/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) v)
(/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) v)
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))
(+ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) v)))
(+ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) v)) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (pow v 2))))))
(+ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) (pow v 2))))))))
(exp (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(exp (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(exp (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(exp (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(exp (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(exp (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(exp (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(exp (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))
(+ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) v)))
(+ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (pow v 2))))))
(+ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) (pow v 2))))))))
(exp (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(exp (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(exp (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(exp (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(exp (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(exp (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(exp (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(exp (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(exp (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)))
(+ (exp (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (/ (* cosTheta_O (* cosTheta_i (exp (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))))) v))
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1
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(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
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(exp (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1))
(exp (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1))
(exp (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1))
(exp (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1))
(exp (- (* cosTheta_O cosTheta_i) 1))
(+ (exp (- (* cosTheta_O cosTheta_i) 1)) (* -1 (* sinTheta_O (* sinTheta_i (exp (- (* cosTheta_O cosTheta_i) 1))))))
(+ (exp (- (* cosTheta_O cosTheta_i) 1)) (* sinTheta_i (+ (* -1 (* sinTheta_O (exp (- (* cosTheta_O cosTheta_i) 1)))) (* 1/2 (* (pow sinTheta_O 2) (* sinTheta_i (exp (- (* cosTheta_O cosTheta_i) 1))))))))
(+ (exp (- (* cosTheta_O cosTheta_i) 1)) (* sinTheta_i (+ (* -1 (* sinTheta_O (exp (- (* cosTheta_O cosTheta_i) 1)))) (* sinTheta_i (+ (* -1/6 (* (pow sinTheta_O 3) (* sinTheta_i (exp (- (* cosTheta_O cosTheta_i) 1))))) (* 1/2 (* (pow sinTheta_O 2) (exp (- (* cosTheta_O cosTheta_i) 1)))))))))
(exp (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1))
(exp (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1))
(exp (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1))
(exp (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1))
(exp (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1))
(exp (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1))
(exp (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1))
(exp (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1))
Outputs
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))
(*.f32 sinTheta_O (fma.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v sinTheta_O)) (/.f32 (neg.f32 sinTheta_i) v)))
(* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))
(*.f32 sinTheta_O (fma.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v sinTheta_O)) (/.f32 (neg.f32 sinTheta_i) v)))
(* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))
(*.f32 sinTheta_O (fma.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v sinTheta_O)) (/.f32 (neg.f32 sinTheta_i) v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ sinTheta_i v))))
(neg.f32 (*.f32 sinTheta_O (fma.f32 (neg.f32 cosTheta_O) (/.f32 cosTheta_i (*.f32 v sinTheta_O)) (/.f32 sinTheta_i v))))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ sinTheta_i v))))
(neg.f32 (*.f32 sinTheta_O (fma.f32 (neg.f32 cosTheta_O) (/.f32 cosTheta_i (*.f32 v sinTheta_O)) (/.f32 sinTheta_i v))))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ sinTheta_i v))))
(neg.f32 (*.f32 sinTheta_O (fma.f32 (neg.f32 cosTheta_O) (/.f32 cosTheta_i (*.f32 v sinTheta_O)) (/.f32 sinTheta_i v))))
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))
(*.f32 sinTheta_i (fma.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v sinTheta_i)) (/.f32 sinTheta_O (neg.f32 v))))
(* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))
(*.f32 sinTheta_i (fma.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v sinTheta_i)) (/.f32 sinTheta_O (neg.f32 v))))
(* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))
(*.f32 sinTheta_i (fma.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v sinTheta_i)) (/.f32 sinTheta_O (neg.f32 v))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ sinTheta_O v))))
(*.f32 (fma.f32 (neg.f32 cosTheta_O) (/.f32 cosTheta_i (*.f32 v sinTheta_i)) (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i))
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ sinTheta_O v))))
(*.f32 (fma.f32 (neg.f32 cosTheta_O) (/.f32 cosTheta_i (*.f32 v sinTheta_i)) (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i))
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ sinTheta_O v))))
(*.f32 (fma.f32 (neg.f32 cosTheta_O) (/.f32 cosTheta_i (*.f32 v sinTheta_i)) (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(* cosTheta_O (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v)))
(*.f32 cosTheta_O (fma.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i (*.f32 cosTheta_O v)) (/.f32 cosTheta_i v)))
(* cosTheta_O (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v)))
(*.f32 cosTheta_O (fma.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i (*.f32 cosTheta_O v)) (/.f32 cosTheta_i v)))
(* cosTheta_O (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v)))
(*.f32 cosTheta_O (fma.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i (*.f32 cosTheta_O v)) (/.f32 cosTheta_i v)))
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(*.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i (*.f32 cosTheta_O v)) (neg.f32 (/.f32 cosTheta_i v))) (neg.f32 cosTheta_O))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(*.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i (*.f32 cosTheta_O v)) (neg.f32 (/.f32 cosTheta_i v))) (neg.f32 cosTheta_O))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(*.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i (*.f32 cosTheta_O v)) (neg.f32 (/.f32 cosTheta_i v))) (neg.f32 cosTheta_O))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(* cosTheta_i (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ cosTheta_O v)))
(*.f32 cosTheta_i (fma.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i (*.f32 cosTheta_i v)) (/.f32 cosTheta_O v)))
(* cosTheta_i (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ cosTheta_O v)))
(*.f32 cosTheta_i (fma.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i (*.f32 cosTheta_i v)) (/.f32 cosTheta_O v)))
(* cosTheta_i (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ cosTheta_O v)))
(*.f32 cosTheta_i (fma.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i (*.f32 cosTheta_i v)) (/.f32 cosTheta_O v)))
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(*.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i (*.f32 cosTheta_i v)) (/.f32 cosTheta_O (neg.f32 v))) (neg.f32 cosTheta_i))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(*.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i (*.f32 cosTheta_i v)) (/.f32 cosTheta_O (neg.f32 v))) (neg.f32 cosTheta_i))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(*.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i (*.f32 cosTheta_i v)) (/.f32 cosTheta_O (neg.f32 v))) (neg.f32 cosTheta_i))
(/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) v)
(/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v)
(/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) v)
(/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v)
(/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) v)
(/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v)
(/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) v)
(/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v)
(/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) v)
(/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v)
(/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) v)
(/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v)
(/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) v)
(/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v)
(/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) v)
(/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v)
(/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) v)
(/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v)
(/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) v)
(/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v)
(/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) v)
(/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v)
(/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) v)
(/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v)
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(+ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) v)))
(-.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) (/.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))) v))
(+ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) v)) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (pow v 2))))))
(fma.f32 sinTheta_O (fma.f32 sinTheta_O (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) (*.f32 sinTheta_i sinTheta_i)) (*.f32 v v))) (neg.f32 (/.f32 (*.f32 sinTheta_i (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))) v))) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(+ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) (pow v 2))))))))
(fma.f32 sinTheta_O (fma.f32 sinTheta_O (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) (*.f32 sinTheta_i sinTheta_i)) (*.f32 v v)) (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) (*.f32 (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i)) sinTheta_O)) (*.f32 v (*.f32 v v))))) (neg.f32 (/.f32 (*.f32 sinTheta_i (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))) v))) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(exp (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 (neg.f32 sinTheta_i) v) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(exp (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 (neg.f32 sinTheta_i) v) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(exp (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 (neg.f32 sinTheta_i) v) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(exp (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 (neg.f32 sinTheta_i) v) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(exp (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 (neg.f32 sinTheta_i) v) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(exp (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 (neg.f32 sinTheta_i) v) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(exp (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 (neg.f32 sinTheta_i) v) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(exp (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 (neg.f32 sinTheta_i) v) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(+ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) v)))
(-.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) (/.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))) v))
(+ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (pow v 2))))))
(fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O))) (*.f32 v v)) (/.f32 (*.f32 sinTheta_O (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))) (neg.f32 v))) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(+ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) (pow v 2))))))))
(fma.f32 sinTheta_i (fma.f32 sinTheta_i (fma.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 sinTheta_O (*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O)))) (*.f32 v (*.f32 v v))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) (*.f32 sinTheta_O sinTheta_O))) (*.f32 v v))) (/.f32 (*.f32 sinTheta_O (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))) (neg.f32 v))) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(exp (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 (neg.f32 sinTheta_i) v) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(exp (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 (neg.f32 sinTheta_i) v) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(exp (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 (neg.f32 sinTheta_i) v) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(exp (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 (neg.f32 sinTheta_i) v) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(exp (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 (neg.f32 sinTheta_i) v) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(exp (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 (neg.f32 sinTheta_i) v) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(exp (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 (neg.f32 sinTheta_i) v) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(exp (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 (neg.f32 sinTheta_i) v) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(exp (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)))
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
(+ (exp (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (/ (* cosTheta_O (* cosTheta_i (exp (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))))) v))
(fma.f32 cosTheta_O (/.f32 (*.f32 cosTheta_i (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
(+ (exp (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))))) (pow v 2))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)))) v))))
(fma.f32 cosTheta_O (fma.f32 cosTheta_O (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (*.f32 cosTheta_i cosTheta_i))) (*.f32 v v)) (/.f32 (*.f32 cosTheta_i (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) v)) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
(+ (exp (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)))) (pow v 2))))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)))) v))))
(fma.f32 cosTheta_O (fma.f32 cosTheta_O (fma.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta_i cosTheta_i) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (*.f32 v v))) (*.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 cosTheta_O (*.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (*.f32 cosTheta_i (*.f32 cosTheta_i cosTheta_i)))) (*.f32 v (*.f32 v v))))) (/.f32 (*.f32 cosTheta_i (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) v)) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
(exp (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 (neg.f32 sinTheta_i) v) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(exp (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 (neg.f32 sinTheta_i) v) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(exp (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 (neg.f32 sinTheta_i) v) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(exp (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 (neg.f32 sinTheta_i) v) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(exp (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 (neg.f32 sinTheta_i) v) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(exp (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 (neg.f32 sinTheta_i) v) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(exp (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 (neg.f32 sinTheta_i) v) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(exp (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 (neg.f32 sinTheta_i) v) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(exp (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)))
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
(+ (exp (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (/ (* cosTheta_O (* cosTheta_i (exp (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))))) v))
(fma.f32 cosTheta_O (/.f32 (*.f32 cosTheta_i (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
(+ (exp (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))))) (pow v 2))) (/ (* cosTheta_O (exp (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)))) v))))
(fma.f32 cosTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_O (*.f32 cosTheta_i (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))) (*.f32 v v)) (/.f32 (*.f32 cosTheta_O (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) v)) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
(+ (exp (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)))) (pow v 2))))) (/ (* cosTheta_O (exp (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)))) v))))
(fma.f32 cosTheta_i (fma.f32 cosTheta_i (fma.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (*.f32 cosTheta_i (*.f32 cosTheta_O (*.f32 cosTheta_O cosTheta_O)))) (*.f32 v (*.f32 v v))) (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (/.f32 (*.f32 cosTheta_O (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) (*.f32 v v))))) (/.f32 (*.f32 cosTheta_O (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) v)) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
(exp (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 (neg.f32 sinTheta_i) v) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(exp (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 (neg.f32 sinTheta_i) v) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(exp (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 (neg.f32 sinTheta_i) v) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(exp (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 (neg.f32 sinTheta_i) v) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(exp (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 (neg.f32 sinTheta_i) v) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(exp (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 (neg.f32 sinTheta_i) v) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(exp (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 (neg.f32 sinTheta_i) v) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(exp (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 (neg.f32 sinTheta_i) v) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(exp (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 (neg.f32 sinTheta_i) v) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(exp (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 (neg.f32 sinTheta_i) v) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(exp (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 (neg.f32 sinTheta_i) v) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(exp (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 (neg.f32 sinTheta_i) v) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(exp 6931/10000)
(exp.f32 #s(literal 6931/10000 binary32))
(+ (exp 6931/10000) (/ (* (exp 6931/10000) (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)) v))
(fma.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v) (exp.f32 #s(literal 6931/10000 binary32)))
(+ (exp 6931/10000) (+ (* 1/2 (/ (* (exp 6931/10000) (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 2)) (pow v 2))) (/ (* (exp 6931/10000) (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)) v)))
(fma.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (*.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) (*.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) #s(literal 1/2 binary32))) (*.f32 v v)) (fma.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v) (exp.f32 #s(literal 6931/10000 binary32))))
(+ (exp 6931/10000) (+ (* 1/6 (/ (* (exp 6931/10000) (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 3)) (pow v 3))) (+ (* 1/2 (/ (* (exp 6931/10000) (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 2)) (pow v 2))) (/ (* (exp 6931/10000) (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)) v))))
(fma.f32 #s(literal 1/6 binary32) (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (*.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) (*.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))))) (*.f32 v (*.f32 v v)))) (fma.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (*.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) (*.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) #s(literal 1/2 binary32))) (*.f32 v v)) (fma.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v) (exp.f32 #s(literal 6931/10000 binary32)))))
(exp 6931/10000)
(exp.f32 #s(literal 6931/10000 binary32))
(+ (exp 6931/10000) (* -1 (/ (* (exp 6931/10000) (+ 1 (* -1 (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))))) v)))
(fma.f32 (neg.f32 (exp.f32 #s(literal 6931/10000 binary32))) (/.f32 (neg.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)))) v) (exp.f32 #s(literal 6931/10000 binary32)))
(+ (exp 6931/10000) (* -1 (/ (+ (* -1/2 (/ (* (exp 6931/10000) (pow (+ 1 (* -1 (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)))) 2)) v)) (* (exp 6931/10000) (+ 1 (* -1 (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)))))) v)))
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(+ (exp 6931/10000) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (exp 6931/10000) (pow (+ 1 (* -1 (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)))) 3)) v)) (* 1/2 (* (exp 6931/10000) (pow (+ 1 (* -1 (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)))) 2)))) v)) (* (exp 6931/10000) (+ 1 (* -1 (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)))))) v)))
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(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) v)
(* 1/2 (/ (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) v)
(* 1/2 (/ (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) v)
(* 1/2 (/ (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) v)
(* (exp 6931/10000) (exp (/ -1 v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
(+ (* -1 (/ (* sinTheta_O (* sinTheta_i (* (exp 6931/10000) (exp (/ -1 v))))) v)) (* (exp 6931/10000) (exp (/ -1 v))))
(fma.f32 sinTheta_O (/.f32 (*.f32 sinTheta_i (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) (neg.f32 v)) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(+ (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (* (exp 6931/10000) (exp (/ -1 v)))) v)) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 2))))) (* (exp 6931/10000) (exp (/ -1 v))))
(fma.f32 sinTheta_O (fma.f32 sinTheta_O (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 sinTheta_i sinTheta_i) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (*.f32 v v)))) (/.f32 (*.f32 sinTheta_i (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) (neg.f32 v))) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(+ (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (* (exp 6931/10000) (exp (/ -1 v)))) v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 2))))))) (* (exp 6931/10000) (exp (/ -1 v))))
(fma.f32 sinTheta_O (fma.f32 sinTheta_O (fma.f32 sinTheta_O (*.f32 (/.f32 (*.f32 (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i)) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) (*.f32 v (*.f32 v v))) #s(literal -1/6 binary32)) (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 sinTheta_i sinTheta_i) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (*.f32 v v))))) (/.f32 (*.f32 sinTheta_i (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) (neg.f32 v))) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
(* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
(* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
(* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
(* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
(* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
(* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
(* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
(* (exp 6931/10000) (exp (/ -1 v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
(+ (* -1 (/ (* sinTheta_O (* sinTheta_i (* (exp 6931/10000) (exp (/ -1 v))))) v)) (* (exp 6931/10000) (exp (/ -1 v))))
(fma.f32 sinTheta_O (/.f32 (*.f32 sinTheta_i (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) (neg.f32 v)) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(+ (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (* (exp 6931/10000) (exp (/ -1 v)))) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 2))))) (* (exp 6931/10000) (exp (/ -1 v))))
(fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O))) (*.f32 v v)) (/.f32 (*.f32 sinTheta_O (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) (neg.f32 v))) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(+ (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (* (exp 6931/10000) (exp (/ -1 v)))) v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 2))))))) (* (exp 6931/10000) (exp (/ -1 v))))
(fma.f32 sinTheta_i (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) (*.f32 v v)) (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)))) (*.f32 v (*.f32 v v))))) (/.f32 (*.f32 sinTheta_O (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) (neg.f32 v))) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
(* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
(* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
(* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
(* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
(* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
(* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
(* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
(* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
(* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
(* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
(* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
(exp 6931/10000)
(exp.f32 #s(literal 6931/10000 binary32))
(+ (exp 6931/10000) (* -1 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)))
(fma.f32 (exp.f32 #s(literal 6931/10000 binary32)) (neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) (exp.f32 #s(literal 6931/10000 binary32)))
(+ (exp 6931/10000) (+ (* -1 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (* 1/2 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (pow v 2)))))
(fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (*.f32 v v)) (fma.f32 (exp.f32 #s(literal 6931/10000 binary32)) (neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) (exp.f32 #s(literal 6931/10000 binary32))))
(+ (exp 6931/10000) (+ (* -1 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (+ (* -1/6 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (pow v 3))) (* 1/2 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (pow v 2))))))
(+.f32 (fma.f32 (exp.f32 #s(literal 6931/10000 binary32)) (neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) (exp.f32 #s(literal 6931/10000 binary32))) (fma.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))))) (*.f32 v (*.f32 v v))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))))) (*.f32 v v))))
(exp 6931/10000)
(exp.f32 #s(literal 6931/10000 binary32))
(+ (exp 6931/10000) (* -1 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)))
(fma.f32 (exp.f32 #s(literal 6931/10000 binary32)) (neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) (exp.f32 #s(literal 6931/10000 binary32)))
(+ (exp 6931/10000) (* -1 (/ (+ (* -1/2 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) v)) (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))) v)))
(-.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) v) (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) v))
(+ (exp 6931/10000) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) v)) (* 1/2 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) v)) (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))) v)))
(-.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 (exp.f32 #s(literal 6931/10000 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))))) v) (*.f32 #s(literal 1/2 binary32) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))))) (neg.f32 v))) v))
(exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))
(exp.f32 (neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
(+ (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)) (/ (* cosTheta_O (* cosTheta_i (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)))) v))
(fma.f32 cosTheta_O (/.f32 (*.f32 cosTheta_i (exp.f32 (neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) v) (exp.f32 (neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
(+ (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)) (* cosTheta_O (+ (* cosTheta_O (* (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)) (+ (* 1/2 (/ (+ (* -1 (pow cosTheta_i 2)) (pow cosTheta_i 2)) v)) (* 1/2 (/ (pow cosTheta_i 2) (pow v 2)))))) (/ (* cosTheta_i (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) v))))
(fma.f32 cosTheta_O (fma.f32 cosTheta_i (/.f32 (exp.f32 (neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) v) (*.f32 cosTheta_O (*.f32 (exp.f32 (neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta_i cosTheta_i) (*.f32 v v)) (/.f32 #s(literal 0 binary32) v))))) (exp.f32 (neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
(+ (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)) (* cosTheta_O (+ (* cosTheta_O (+ (* cosTheta_O (* (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)) (+ (* 1/6 (/ (+ (* -3 (pow cosTheta_i 3)) (+ (* 2 (pow cosTheta_i 3)) (pow cosTheta_i 3))) v)) (+ (* 1/6 (/ (pow cosTheta_i 3) (pow v 3))) (* 1/2 (/ (* cosTheta_i (+ (* -1 (pow cosTheta_i 2)) (pow cosTheta_i 2))) (pow v 2))))))) (* (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)) (+ (* 1/2 (/ (+ (* -1 (pow cosTheta_i 2)) (pow cosTheta_i 2)) v)) (* 1/2 (/ (pow cosTheta_i 2) (pow v 2))))))) (/ (* cosTheta_i (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) v))))
(fma.f32 cosTheta_O (fma.f32 cosTheta_O (fma.f32 (exp.f32 (neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (*.f32 cosTheta_O (fma.f32 #s(literal 1/6 binary32) (+.f32 (/.f32 (*.f32 (*.f32 cosTheta_i (*.f32 cosTheta_i cosTheta_i)) #s(literal 0 binary32)) v) (/.f32 (*.f32 cosTheta_i (*.f32 cosTheta_i cosTheta_i)) (*.f32 v (*.f32 v v)))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i #s(literal 0 binary32))) (*.f32 v v)))) (*.f32 (exp.f32 (neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta_i cosTheta_i) (*.f32 v v)) (/.f32 #s(literal 0 binary32) v)))) (/.f32 (*.f32 cosTheta_i (exp.f32 (neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) v)) (exp.f32 (neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))
(exp.f32 (neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
(+ (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)) (/ (* cosTheta_O (* cosTheta_i (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)))) v))
(fma.f32 cosTheta_O (/.f32 (*.f32 cosTheta_i (exp.f32 (neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) v) (exp.f32 (neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
(+ (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)) (* cosTheta_i (+ (* cosTheta_i (* (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)) (+ (* 1/2 (/ (+ (* -1 (pow cosTheta_O 2)) (pow cosTheta_O 2)) v)) (* 1/2 (/ (pow cosTheta_O 2) (pow v 2)))))) (/ (* cosTheta_O (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) v))))
(fma.f32 cosTheta_i (fma.f32 cosTheta_O (/.f32 (exp.f32 (neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) v) (*.f32 (*.f32 cosTheta_i (exp.f32 (neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_O) (*.f32 v v)) (/.f32 #s(literal 0 binary32) v)))) (exp.f32 (neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
(+ (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)) (* cosTheta_i (+ (* cosTheta_i (+ (* cosTheta_i (* (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)) (+ (* 1/6 (/ (+ (* -3 (pow cosTheta_O 3)) (+ (* 2 (pow cosTheta_O 3)) (pow cosTheta_O 3))) v)) (+ (* 1/6 (/ (pow cosTheta_O 3) (pow v 3))) (* 1/2 (/ (* cosTheta_O (+ (* -1 (pow cosTheta_O 2)) (pow cosTheta_O 2))) (pow v 2))))))) (* (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)) (+ (* 1/2 (/ (+ (* -1 (pow cosTheta_O 2)) (pow cosTheta_O 2)) v)) (* 1/2 (/ (pow cosTheta_O 2) (pow v 2))))))) (/ (* cosTheta_O (exp (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v))) v))))
(fma.f32 cosTheta_i (fma.f32 cosTheta_O (/.f32 (exp.f32 (neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) v) (*.f32 cosTheta_i (fma.f32 cosTheta_i (*.f32 (exp.f32 (neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (fma.f32 #s(literal 1/6 binary32) (+.f32 (/.f32 (*.f32 (*.f32 cosTheta_O (*.f32 cosTheta_O cosTheta_O)) #s(literal 0 binary32)) v) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_O cosTheta_O)) (*.f32 v (*.f32 v v)))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O #s(literal 0 binary32))) (*.f32 v v)))) (*.f32 (exp.f32 (neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_O) (*.f32 v v)) (/.f32 #s(literal 0 binary32) v)))))) (exp.f32 (neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) 1) v))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(+ (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (/ (- (* cosTheta_O cosTheta_i) 1) 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))
(+ (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)) (* sinTheta_O (* (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (+ (* 1/2 (/ (+ (* -1 (pow sinTheta_i 2)) (pow sinTheta_i 2)) v)) (* 1/2 (/ (pow sinTheta_i 2) (pow v 2)))))))))
(fma.f32 sinTheta_O (fma.f32 sinTheta_O (*.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 v v)) (/.f32 #s(literal 0 binary32) v))) (/.f32 (*.f32 sinTheta_i (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) (neg.f32 v))) (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(+ (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)) (* sinTheta_O (+ (* sinTheta_O (* (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (+ (* -1/2 (/ (* sinTheta_i (+ (* -1 (pow sinTheta_i 2)) (pow sinTheta_i 2))) (pow v 2))) (+ (* -1/6 (/ (pow sinTheta_i 3) (pow v 3))) (* 1/6 (/ (+ (* -2 (pow sinTheta_i 3)) (+ (* -1 (pow sinTheta_i 3)) (* 3 (pow sinTheta_i 3)))) v)))))) (* (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (+ (* 1/2 (/ (+ (* -1 (pow sinTheta_i 2)) (pow sinTheta_i 2)) v)) (* 1/2 (/ (pow sinTheta_i 2) (pow v 2))))))))))
(fma.f32 sinTheta_O (fma.f32 sinTheta_O (fma.f32 sinTheta_O (*.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_i #s(literal 0 binary32)) (*.f32 v v)) (fma.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i)) (*.f32 v (*.f32 v v))) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i)) #s(literal 0 binary32))) v)))) (*.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 v v)) (/.f32 #s(literal 0 binary32) v)))) (/.f32 (*.f32 sinTheta_i (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) (neg.f32 v))) (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) 1) v))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(+ (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (/ (- (* cosTheta_O cosTheta_i) 1) 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))
(+ (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)) (* sinTheta_i (* (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (+ (* 1/2 (/ (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)) v)) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2)))))))))
(fma.f32 sinTheta_i (fma.f32 sinTheta_O (neg.f32 (/.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) v)) (*.f32 (*.f32 sinTheta_i (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 v v)) (/.f32 #s(literal 0 binary32) v)))) (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(+ (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)) (* sinTheta_i (+ (* sinTheta_i (* (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (+ (* -1/2 (/ (* sinTheta_O (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2))) (pow v 2))) (+ (* -1/6 (/ (pow sinTheta_O 3) (pow v 3))) (* 1/6 (/ (+ (* -2 (pow sinTheta_O 3)) (+ (* -1 (pow sinTheta_O 3)) (* 3 (pow sinTheta_O 3)))) v)))))) (* (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (+ (* 1/2 (/ (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)) v)) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))))))))
(fma.f32 sinTheta_i (fma.f32 sinTheta_i (fma.f32 sinTheta_i (*.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_O #s(literal 0 binary32)) (*.f32 v v)) (fma.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) (*.f32 v (*.f32 v v))) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) #s(literal 0 binary32))) v)))) (*.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 v v)) (/.f32 #s(literal 0 binary32) v)))) (/.f32 (*.f32 sinTheta_O (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) (neg.f32 v))) (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
1
#s(literal 1 binary32)
(- (+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(+.f32 #s(literal 1 binary32) (fma.f32 sinTheta_O (/.f32 (neg.f32 sinTheta_i) v) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(- (+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (+ (* 1/2 (/ (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 2) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))
(+.f32 #s(literal 1 binary32) (+.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (/.f32 (*.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) (*.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) #s(literal 1/2 binary32))) (*.f32 v v))) (neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
(- (+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (+ (* 1/6 (/ (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 3) (pow v 3))) (+ (* 1/2 (/ (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 2) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))))) (/ 1 v))
(+.f32 #s(literal 1 binary32) (+.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)))) (*.f32 v v)) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) (*.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)))))) (*.f32 v (*.f32 v v))))) (neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
1
#s(literal 1 binary32)
(- (+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(+.f32 #s(literal 1 binary32) (fma.f32 sinTheta_O (/.f32 (neg.f32 sinTheta_i) v) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(+ 1 (* -1 (/ (+ (* -1 (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)) (* -1/2 (/ (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 2) v))) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)))) v) (neg.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))))) v))
(+ 1 (* -1 (/ (+ (* -1 (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)) (* -1 (/ (+ (* 1/6 (/ (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 3) v)) (* 1/2 (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 2))) v))) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (+.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)))) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) (*.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)))))) v)) v))) v))
(* 1/2 (/ (exp 6931/10000) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) v)
(* 1/2 (/ (exp 6931/10000) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) v)
(* 1/2 (/ (exp 6931/10000) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) v)
(* 1/2 (/ (exp 6931/10000) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) v)
(* 1/2 (/ (exp 6931/10000) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) v)
(* 1/2 (/ (exp 6931/10000) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) v)
(* 1/2 (/ (exp 6931/10000) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) v)
(* 1/2 (/ (exp 6931/10000) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) v)
(* 1/2 (/ (exp 6931/10000) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) v)
(* 1/2 (/ (exp 6931/10000) v))
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(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))
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(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))
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(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))
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(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))
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(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))
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(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))
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(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))
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(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v))
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(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)) (* sinTheta_i (+ (* -1/2 (/ (* sinTheta_O (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) (pow v 2))) (* 1/2 (/ (* sinTheta_i (* (exp 6931/10000) (* (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (+ (* 1/2 (/ (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)) v)) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))))) v)))))
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(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))
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(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v))) v))
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(fma.f32 cosTheta_i (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta_O (*.f32 cosTheta_O cosTheta_i)) (exp.f32 (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))))) (*.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32)) (exp.f32 (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))))))
(+ (exp (- (* -1 (* sinTheta_O sinTheta_i)) 1)) (* cosTheta_i (+ (* cosTheta_O (exp (- (* -1 (* sinTheta_O sinTheta_i)) 1))) (* cosTheta_i (+ (* 1/6 (* (pow cosTheta_O 3) (* cosTheta_i (exp (- (* -1 (* sinTheta_O sinTheta_i)) 1))))) (* 1/2 (* (pow cosTheta_O 2) (exp (- (* -1 (* sinTheta_O sinTheta_i)) 1)))))))))
(fma.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal 1 binary32)) (exp.f32 (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (*.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 cosTheta_i (*.f32 cosTheta_O (*.f32 cosTheta_O cosTheta_O))) (exp.f32 (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))))) (*.f32 (exp.f32 (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (*.f32 (*.f32 cosTheta_O cosTheta_O) #s(literal 1/2 binary32)))) (*.f32 cosTheta_i cosTheta_i)))
(exp (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1))
(exp.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))))
(exp (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1))
(exp.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))))
(exp (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1))
(exp.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))))
(exp (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1))
(exp.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))))
(exp (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1))
(exp.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))))
(exp (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1))
(exp.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))))
(exp (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1))
(exp.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))))
(exp (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1))
(exp.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))))
(exp (- (* cosTheta_O cosTheta_i) 1))
(exp.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)))
(+ (exp (- (* cosTheta_O cosTheta_i) 1)) (* -1 (* sinTheta_O (* sinTheta_i (exp (- (* cosTheta_O cosTheta_i) 1))))))
(fma.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) (exp.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) (exp.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))))
(+ (exp (- (* cosTheta_O cosTheta_i) 1)) (* sinTheta_O (+ (* -1 (* sinTheta_i (exp (- (* cosTheta_O cosTheta_i) 1)))) (* 1/2 (* sinTheta_O (* (pow sinTheta_i 2) (exp (- (* cosTheta_O cosTheta_i) 1))))))))
(fma.f32 sinTheta_O (fma.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) (exp.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)))) (*.f32 #s(literal 1/2 binary32) sinTheta_O) (*.f32 (exp.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) (neg.f32 sinTheta_i))) (exp.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))))
(+ (exp (- (* cosTheta_O cosTheta_i) 1)) (* sinTheta_O (+ (* -1 (* sinTheta_i (exp (- (* cosTheta_O cosTheta_i) 1)))) (* sinTheta_O (+ (* -1/6 (* sinTheta_O (* (pow sinTheta_i 3) (exp (- (* cosTheta_O cosTheta_i) 1))))) (* 1/2 (* (pow sinTheta_i 2) (exp (- (* cosTheta_O cosTheta_i) 1)))))))))
(fma.f32 sinTheta_O (fma.f32 sinTheta_O (fma.f32 sinTheta_O (*.f32 (*.f32 (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i)) (exp.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)))) #s(literal -1/6 binary32)) (*.f32 (exp.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) (*.f32 (*.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)))) (*.f32 (exp.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) (neg.f32 sinTheta_i))) (exp.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))))
(exp (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1))
(exp.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))))
(exp (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1))
(exp.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))))
(exp (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1))
(exp.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))))
(exp (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1))
(exp.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))))
(exp (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1))
(exp.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))))
(exp (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1))
(exp.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))))
(exp (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1))
(exp.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))))
(exp (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1))
(exp.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))))
(exp (- (* cosTheta_O cosTheta_i) 1))
(exp.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)))
(+ (exp (- (* cosTheta_O cosTheta_i) 1)) (* -1 (* sinTheta_O (* sinTheta_i (exp (- (* cosTheta_O cosTheta_i) 1))))))
(fma.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) (exp.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) (exp.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))))
(+ (exp (- (* cosTheta_O cosTheta_i) 1)) (* sinTheta_i (+ (* -1 (* sinTheta_O (exp (- (* cosTheta_O cosTheta_i) 1)))) (* 1/2 (* (pow sinTheta_O 2) (* sinTheta_i (exp (- (* cosTheta_O cosTheta_i) 1))))))))
(fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (*.f32 (exp.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O))) (*.f32 (exp.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) (neg.f32 sinTheta_O))) (exp.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))))
(+ (exp (- (* cosTheta_O cosTheta_i) 1)) (* sinTheta_i (+ (* -1 (* sinTheta_O (exp (- (* cosTheta_O cosTheta_i) 1)))) (* sinTheta_i (+ (* -1/6 (* (pow sinTheta_O 3) (* sinTheta_i (exp (- (* cosTheta_O cosTheta_i) 1))))) (* 1/2 (* (pow sinTheta_O 2) (exp (- (* cosTheta_O cosTheta_i) 1)))))))))
(fma.f32 sinTheta_i (fma.f32 sinTheta_i (fma.f32 #s(literal -1/6 binary32) (*.f32 sinTheta_O (*.f32 (exp.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O)))) (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_O) (exp.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)))))) (*.f32 (exp.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) (neg.f32 sinTheta_O))) (exp.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))))
(exp (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1))
(exp.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))))
(exp (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1))
(exp.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))))
(exp (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1))
(exp.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))))
(exp (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1))
(exp.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))))
(exp (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1))
(exp.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))))
(exp (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1))
(exp.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))))
(exp (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1))
(exp.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))))
(exp (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1))
(exp.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))))

eval119.0ms (0.9%)

Memory
4.9MiB live, 284.8MiB allocated
Compiler

Compiled 28 916 to 3 076 computations (89.4% saved)

prune277.0ms (2%)

Memory
14.5MiB live, 292.9MiB allocated
Pruning

21 alts after pruning (20 fresh and 1 done)

PrunedKeptTotal
New1 271131 284
Fresh6713
Picked415
Done000
Total1 281211 302
Accuracy
99.8%
Counts
1 302 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.3%
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 1 binary32))
12.9%
(/.f32 (pow.f32 (exp.f32 (+.f32 (/.f32 (*.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) (*.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)))) (*.f32 v (*.f32 v v))) (pow.f32 (neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32)))) #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v) (-.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v) (neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32))))) (pow.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) #s(literal 2 binary32))))) (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
63.3%
(/.f32 (/.f32 (exp.f32 (/.f32 (pow.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) #s(literal 2 binary32)) (-.f32 (neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v)))) (exp.f32 (/.f32 (/.f32 (*.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i))) (*.f32 v v)) (-.f32 (neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v))))) (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
99.6%
(/.f32 #s(literal 1 binary32) (/.f32 v (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))))
99.6%
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) v)))
99.7%
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v)))))))
99.6%
(/.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 (log.f32 v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))))
6.2%
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_O (*.f32 cosTheta_i cosTheta_i))) v) (*.f32 cosTheta_i (neg.f32 cosTheta_O))) v))
86.0%
(*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 #s(literal 1 binary32) v))) (exp.f32 (-.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v) #s(literal -6931/10000 binary32))))
99.2%
(*.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 v #s(literal 2 binary32))) (pow.f32 (exp.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) v)))
99.3%
(*.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 v #s(literal 2 binary32))) (pow.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))))) (/.f32 #s(literal 1/2 binary32) v)))
99.5%
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
99.6%
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 #s(literal 1 binary32) (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))
99.5%
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 (pow.f32 (pow.f32 (exp.f32 (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32))) (exp.f32 #s(literal 6931/10000 binary32))))
97.2%
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.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))))
99.2%
(*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32)))))) (exp.f32 (/.f32 (+.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v)))
96.9%
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
99.5%
(exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
15.0%
(exp.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O))
6.5%
#s(literal 1 binary32)
Compiler

Compiled 1 025 to 663 computations (35.3% saved)

simplify192.0ms (1.4%)

Memory
-36.0MiB live, 285.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff0
(exp.f32 (/.f32 #s(literal 1 binary32) v))
cost-diff0
(/.f32 #s(literal 1/2 binary32) v)
cost-diff192
(/.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 #s(literal 1 binary32) v)))
cost-diff3520
(*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 #s(literal 1 binary32) v))) (exp.f32 (-.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v) #s(literal -6931/10000 binary32))))
cost-diff0
(*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
cost-diff0
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) v)
cost-diff160
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) v)))
cost-diff544
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) v))
cost-diff0
(fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))
cost-diff0
(/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)
cost-diff0
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
cost-diff160
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v)))))))
cost-diff256
(-.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v))
cost-diff352
(/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v))))
cost-diff544
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v))))))
Rules
3 284×lower-fma.f64
3 278×lower-fma.f32
3 118×lower-*.f64
3 110×lower-*.f32
2 008×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039363
070351
1120343
2242342
3617342
42174337
54051335
67951335
08058330
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v)))))))
#s(literal 1 binary32)
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v))))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v)))))
(/.f32 #s(literal 1/2 binary32) v)
#s(literal 1/2 binary32)
v
(/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v))))
(exp.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v)))
(-.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v))
(+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))
(/.f32 #s(literal 1 binary32) v)
#s(literal -6931/10000 binary32)
(/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v)
(fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i))
sinTheta_O
(neg.f32 sinTheta_i)
sinTheta_i
(*.f32 cosTheta_O cosTheta_i)
cosTheta_O
cosTheta_i
#s(literal 1 binary32)
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 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)
v
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) v)))
#s(literal 1 binary32)
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) v)
(*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
#s(literal 1/2 binary32)
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))
#s(literal 6931/10000 binary32)
(/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)
(fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))
sinTheta_O
sinTheta_i
v
(*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 #s(literal 1 binary32) v))) (exp.f32 (-.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v) #s(literal -6931/10000 binary32))))
(/.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 #s(literal 1/2 binary32) v)
#s(literal 1/2 binary32)
v
(exp.f32 (/.f32 #s(literal 1 binary32) v))
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
(exp.f32 (-.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v) #s(literal -6931/10000 binary32)))
(-.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v) #s(literal -6931/10000 binary32))
(/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v)
(fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i))
sinTheta_O
(neg.f32 sinTheta_i)
sinTheta_i
(*.f32 cosTheta_O cosTheta_i)
cosTheta_O
cosTheta_i
#s(literal -6931/10000 binary32)
Outputs
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v)))))))
(/.f32 (exp.f32 (fma.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) #s(literal -1 binary32)) #s(literal 6931/10000 binary32))) (*.f32 v #s(literal 2 binary32)))
#s(literal 1 binary32)
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v))))))
(*.f32 (exp.f32 (fma.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 #s(literal 1 binary32) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i))) #s(literal -6931/10000 binary32))) (*.f32 v #s(literal 2 binary32)))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v)))))
(/.f32 (exp.f32 (fma.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) #s(literal -1 binary32)) #s(literal 6931/10000 binary32))) (*.f32 v #s(literal 2 binary32)))
(/.f32 #s(literal 1/2 binary32) v)
#s(literal 1/2 binary32)
v
(/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v))))
(exp.f32 (fma.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) #s(literal -1 binary32)) #s(literal 6931/10000 binary32)))
(exp.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v)))
(exp.f32 (fma.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 #s(literal 1 binary32) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i))) #s(literal -6931/10000 binary32)))
(-.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v))
(fma.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 #s(literal 1 binary32) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i))) #s(literal -6931/10000 binary32))
(+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))
(/.f32 #s(literal 1 binary32) v)
#s(literal -6931/10000 binary32)
(/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v)
(fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i))
sinTheta_O
(neg.f32 sinTheta_i)
sinTheta_i
(*.f32 cosTheta_O cosTheta_i)
cosTheta_O
cosTheta_i
#s(literal 1 binary32)
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 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)
v
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) v)))
(/.f32 #s(literal 1/2 binary32) (*.f32 v (exp.f32 (+.f32 #s(literal -6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))
#s(literal 1 binary32)
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) v))
(*.f32 (*.f32 v #s(literal 2 binary32)) (exp.f32 (+.f32 #s(literal -6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) v)
(/.f32 #s(literal 1/2 binary32) (*.f32 v (exp.f32 (+.f32 #s(literal -6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))
(*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
#s(literal 1/2 binary32)
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))
#s(literal 6931/10000 binary32)
(/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)
(fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))
sinTheta_O
sinTheta_i
v
(*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 #s(literal 1 binary32) v))) (exp.f32 (-.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v) #s(literal -6931/10000 binary32))))
(/.f32 (exp.f32 (fma.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) #s(literal -1 binary32)) #s(literal 6931/10000 binary32))) (*.f32 v #s(literal 2 binary32)))
(/.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (*.f32 v #s(literal 2 binary32)))
(/.f32 #s(literal 1/2 binary32) v)
#s(literal 1/2 binary32)
v
(exp.f32 (/.f32 #s(literal 1 binary32) v))
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
(exp.f32 (-.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v) #s(literal -6931/10000 binary32)))
(exp.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v) #s(literal 6931/10000 binary32)))
(-.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v) #s(literal -6931/10000 binary32))
(+.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v) #s(literal 6931/10000 binary32))
(/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v)
(fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i))
sinTheta_O
(neg.f32 sinTheta_i)
sinTheta_i
(*.f32 cosTheta_O cosTheta_i)
cosTheta_O
cosTheta_i
#s(literal -6931/10000 binary32)

localize131.0ms (1%)

Memory
14.6MiB live, 209.5MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy99.9%
(/.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 #s(literal 1 binary32) v)))
accuracy99.9%
(*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 #s(literal 1 binary32) v))) (exp.f32 (-.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v) #s(literal -6931/10000 binary32))))
accuracy99.6%
(exp.f32 (/.f32 #s(literal 1 binary32) v))
accuracy98.5%
(/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v)
accuracy100.0%
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) v)))
accuracy100.0%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) v))
accuracy99.8%
(-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))
accuracy99.6%
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
accuracy100.0%
(fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))
accuracy100.0%
(/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)
accuracy99.6%
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
accuracy100.0%
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v)))))
accuracy99.8%
(+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))
accuracy99.6%
(exp.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v)))
accuracy98.5%
(/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v)
Samples
51.0ms195×0exit
21.0ms61×0valid
Compiler

Compiled 389 to 43 computations (88.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 52.0ms
ival-div: 19.0ms (36.4% of total)
ival-exp: 9.0ms (17.2% of total)
ival-mult: 7.0ms (13.4% of total)
const: 7.0ms (13.4% of total)
ival-add: 5.0ms (9.6% of total)
ival-sub: 3.0ms (5.7% of total)
ival-neg: 1.0ms (1.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series74.0ms (0.5%)

Memory
9.0MiB live, 163.4MiB allocated
Counts
14 → 516
Calls
Call 1
Inputs
#<alt (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v)>
#<alt (exp.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v)))>
#<alt (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))>
#<alt (*.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v)))))>
#<alt (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))>
#<alt (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)>
#<alt (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))>
#<alt (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))>
#<alt (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))>
#<alt (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) v))>
#<alt (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) v)))>
#<alt (exp.f32 (/.f32 #s(literal 1 binary32) v))>
#<alt (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 #s(literal 1 binary32) v))) (exp.f32 (-.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v) #s(literal -6931/10000 binary32))))>
#<alt (/.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 #s(literal 1 binary32) v)))>
Outputs
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))>
#<alt (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))>
#<alt (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ sinTheta_i v))))>
#<alt (* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ sinTheta_i v))))>
#<alt (* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ sinTheta_i v))))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))>
#<alt (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))>
#<alt (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ sinTheta_O v))))>
#<alt (* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ sinTheta_O v))))>
#<alt (* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ sinTheta_O v))))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* cosTheta_O (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v)))>
#<alt (* cosTheta_O (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v)))>
#<alt (* cosTheta_O (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v)))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))>
#<alt (* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))>
#<alt (* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* cosTheta_i (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ cosTheta_O v)))>
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#<alt (+ (* -1/2 (/ (* sinTheta_O (* sinTheta_i (exp (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))) (* (pow v 2) (exp (/ 1 v))))) (* 1/2 (/ (exp (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))) (* v (exp (/ 1 v))))))>
#<alt (+ (* 1/2 (/ (exp (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))) (* v (exp (/ 1 v))))) (* sinTheta_i (+ (* -1/2 (/ (* sinTheta_O (exp (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (* (pow v 2) (exp (/ 1 v))))) (* 1/4 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))) (* (pow v 3) (exp (/ 1 v))))))))>
#<alt (+ (* 1/2 (/ (exp (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))) (* v (exp (/ 1 v))))) (* sinTheta_i (+ (* -1/2 (/ (* sinTheta_O (exp (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (* (pow v 2) (exp (/ 1 v))))) (* sinTheta_i (+ (* -1/12 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))) (* (pow v 4) (exp (/ 1 v))))) (* 1/4 (/ (* (pow sinTheta_O 2) (exp (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (* (pow v 3) (exp (/ 1 v))))))))))>
#<alt (* 1/2 (/ (exp (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (* v (exp (/ 1 v)))))>
#<alt (* 1/2 (/ (exp (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (* v (exp (/ 1 v)))))>
#<alt (* 1/2 (/ (exp (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (* v (exp (/ 1 v)))))>
#<alt (* 1/2 (/ (exp (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (* v (exp (/ 1 v)))))>
#<alt (* 1/2 (/ (exp (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (* v (exp (/ 1 v)))))>
#<alt (* 1/2 (/ (exp (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (* v (exp (/ 1 v)))))>
#<alt (* 1/2 (/ (exp (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (* v (exp (/ 1 v)))))>
#<alt (* 1/2 (/ (exp (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (* v (exp (/ 1 v)))))>
#<alt (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (/ 1 v)))))>
#<alt (+ (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (/ 1 v))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))))) (* (pow v 2) (exp (/ 1 v))))))>
#<alt (+ (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (/ 1 v))))) (* cosTheta_O (+ (* 1/4 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))))) (* (pow v 3) (exp (/ 1 v))))) (* 1/2 (/ (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (exp (/ 1 v))))))))>
#<alt (+ (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (/ 1 v))))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (exp (/ 1 v))))) (* cosTheta_O (+ (* 1/12 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))))) (* (pow v 4) (exp (/ 1 v))))) (* 1/4 (/ (* (pow cosTheta_i 2) (exp (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 3) (exp (/ 1 v))))))))))>
#<alt (* 1/2 (/ (exp (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (* v (exp (/ 1 v)))))>
#<alt (* 1/2 (/ (exp (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (* v (exp (/ 1 v)))))>
#<alt (* 1/2 (/ (exp (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (* v (exp (/ 1 v)))))>
#<alt (* 1/2 (/ (exp (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (* v (exp (/ 1 v)))))>
#<alt (* 1/2 (/ (exp (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (* v (exp (/ 1 v)))))>
#<alt (* 1/2 (/ (exp (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (* v (exp (/ 1 v)))))>
#<alt (* 1/2 (/ (exp (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (* v (exp (/ 1 v)))))>
#<alt (* 1/2 (/ (exp (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (* v (exp (/ 1 v)))))>
#<alt (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (/ 1 v)))))>
#<alt (+ (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (/ 1 v))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))))) (* (pow v 2) (exp (/ 1 v))))))>
#<alt (+ (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (/ 1 v))))) (* cosTheta_i (+ (* 1/4 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))))) (* (pow v 3) (exp (/ 1 v))))) (* 1/2 (/ (* cosTheta_O (exp (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (exp (/ 1 v))))))))>
#<alt (+ (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (/ 1 v))))) (* cosTheta_i (+ (* 1/2 (/ (* cosTheta_O (exp (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (exp (/ 1 v))))) (* cosTheta_i (+ (* 1/12 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))))) (* (pow v 4) (exp (/ 1 v))))) (* 1/4 (/ (* (pow cosTheta_O 2) (exp (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 3) (exp (/ 1 v))))))))))>
#<alt (* 1/2 (/ (exp (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (* v (exp (/ 1 v)))))>
#<alt (* 1/2 (/ (exp (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (* v (exp (/ 1 v)))))>
#<alt (* 1/2 (/ (exp (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (* v (exp (/ 1 v)))))>
#<alt (* 1/2 (/ (exp (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (* v (exp (/ 1 v)))))>
#<alt (* 1/2 (/ (exp (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (* v (exp (/ 1 v)))))>
#<alt (* 1/2 (/ (exp (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (* v (exp (/ 1 v)))))>
#<alt (* 1/2 (/ (exp (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (* v (exp (/ 1 v)))))>
#<alt (* 1/2 (/ (exp (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (* v (exp (/ 1 v)))))>
#<alt (/ 1/2 (* v (exp (/ 1 v))))>
#<alt (/ 1/2 (* v (exp (/ 1 v))))>
#<alt (/ 1/2 (* v (exp (/ 1 v))))>
#<alt (/ 1/2 (* v (exp (/ 1 v))))>
#<alt (/ 1/2 v)>
#<alt (/ (- 1/2 (* 1/2 (/ 1 v))) v)>
#<alt (/ (- (+ 1/2 (/ 1/4 (pow v 2))) (* 1/2 (/ 1 v))) v)>
#<alt (/ (- (+ 1/2 (/ 1/4 (pow v 2))) (+ (* 1/2 (/ 1 v)) (* 1/12 (/ 1 (pow v 3))))) v)>
#<alt (/ 1/2 v)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 v)) 1/2) v))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 v)) 1/2) v)) 1/2) v))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/12 (/ 1 v)) 1/4) v)) 1/2) v)) 1/2) v))>
Calls

129 calls:

TimeVariablePointExpression
4.0ms
sinTheta_i
@-inf
(* (/ (/ 1/2 v) (exp (/ 1 v))) (exp (- (/ (+ (* sinTheta_O (neg sinTheta_i)) (* cosTheta_O cosTheta_i)) v) -6931/10000)))
3.0ms
v
@-inf
(* (/ 1/2 v) (/ 1 (exp (- (+ (/ 1 v) -6931/10000) (/ (+ (* sinTheta_O (neg sinTheta_i)) (* cosTheta_O cosTheta_i)) v)))))
3.0ms
sinTheta_O
@-inf
(/ 1 (/ (* 1/2 (exp (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v)))) v))
1.0ms
v
@inf
(* (/ 1/2 v) (/ 1 (exp (- (+ (/ 1 v) -6931/10000) (/ (+ (* sinTheta_O (neg sinTheta_i)) (* cosTheta_O cosTheta_i)) v)))))
1.0ms
v
@inf
(* (/ (/ 1/2 v) (exp (/ 1 v))) (exp (- (/ (+ (* sinTheta_O (neg sinTheta_i)) (* cosTheta_O cosTheta_i)) v) -6931/10000)))

rewrite321.0ms (2.4%)

Memory
12.5MiB live, 451.4MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 018×lower-*.f64
5 010×lower-*.f32
4 582×lower-/.f64
4 562×lower-/.f32
2 048×lower-fma.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
037151
066144
1257142
21957136
08286136
Stop Event
iter limit
node limit
iter limit
Counts
14 → 697
Calls
Call 1
Inputs
(/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v)
(exp.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v)))
(+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v)))))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)
(fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) v))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) v)))
(exp.f32 (/.f32 #s(literal 1 binary32) v))
(*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 #s(literal 1 binary32) v))) (exp.f32 (-.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v) #s(literal -6931/10000 binary32))))
(/.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 #s(literal 1 binary32) v)))
Outputs
(neg.f32 (neg.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v)))
(exp.f32 (*.f32 (log.f32 (/.f32 v (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)))) #s(literal -1 binary32)))
(pow.f32 (/.f32 v (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i))) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 v (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i))) #s(literal 1 binary32)) #s(literal -1 binary32))
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 v)) (neg.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v)))
(-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(-.f32 (/.f32 (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_i))) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 (neg.f32 cosTheta_O) cosTheta_i))) v) (/.f32 (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 cosTheta_O cosTheta_i))) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 (neg.f32 cosTheta_O) cosTheta_i))) v))
(-.f32 (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_i))) (*.f32 v (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 (neg.f32 cosTheta_O) cosTheta_i)))) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 cosTheta_O cosTheta_i))) (*.f32 v (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 (neg.f32 cosTheta_O) cosTheta_i)))))
(/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v)
(/.f32 #s(literal 1 binary32) (/.f32 v (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 v (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 v (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (/.f32 v (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i))) #s(literal 1 binary32))))
(/.f32 (neg.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i))) (neg.f32 v))
(/.f32 (fma.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_i))) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 cosTheta_O cosTheta_i))))) (*.f32 v (fma.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_i)) (*.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (neg.f32 sinTheta_i)))))))
(/.f32 (*.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 (neg.f32 cosTheta_O) cosTheta_i))) (*.f32 v (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 (neg.f32 cosTheta_O) cosTheta_i))))
(/.f32 (*.f32 (fma.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_i))) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 cosTheta_O cosTheta_i))))) #s(literal 1 binary32)) (*.f32 (fma.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_i)) (*.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (neg.f32 sinTheta_i))))) v))
(/.f32 (*.f32 (fma.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_i))) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 cosTheta_O cosTheta_i))))) #s(literal -1 binary32)) (*.f32 (fma.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_i)) (*.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (neg.f32 sinTheta_i))))) (neg.f32 v)))
(/.f32 (*.f32 (*.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 (neg.f32 cosTheta_O) cosTheta_i))) #s(literal 1 binary32)) (*.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 (neg.f32 cosTheta_O) cosTheta_i)) v))
(/.f32 (*.f32 (*.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 (neg.f32 cosTheta_O) cosTheta_i))) #s(literal -1 binary32)) (*.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 (neg.f32 cosTheta_O) cosTheta_i)) (neg.f32 v)))
(/.f32 (*.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) #s(literal 1 binary32)) v)
(/.f32 (neg.f32 (neg.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)))) (neg.f32 (neg.f32 v)))
(/.f32 (neg.f32 (fma.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_i))) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 cosTheta_O cosTheta_i)))))) (neg.f32 (*.f32 v (fma.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_i)) (*.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (neg.f32 sinTheta_i))))))))
(/.f32 (neg.f32 (*.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 (neg.f32 cosTheta_O) cosTheta_i)))) (neg.f32 (*.f32 v (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 (neg.f32 cosTheta_O) cosTheta_i)))))
(/.f32 (*.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) #s(literal -1 binary32)) (neg.f32 v))
(/.f32 (*.f32 (fma.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_i))) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 cosTheta_O cosTheta_i))))) (/.f32 #s(literal 1 binary32) v)) (fma.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_i)) (*.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (neg.f32 sinTheta_i))))))
(/.f32 (*.f32 (*.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 (neg.f32 cosTheta_O) cosTheta_i))) (/.f32 #s(literal 1 binary32) v)) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 (neg.f32 cosTheta_O) cosTheta_i)))
(/.f32 (neg.f32 (neg.f32 (neg.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i))))) (neg.f32 (neg.f32 (neg.f32 v))))
(/.f32 (neg.f32 (*.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) #s(literal 1 binary32))) (neg.f32 v))
(/.f32 (neg.f32 (*.f32 (fma.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_i))) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 cosTheta_O cosTheta_i))))) #s(literal 1 binary32))) (neg.f32 (*.f32 (fma.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_i)) (*.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (neg.f32 sinTheta_i))))) v)))
(/.f32 (neg.f32 (*.f32 (fma.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_i))) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 cosTheta_O cosTheta_i))))) #s(literal -1 binary32))) (neg.f32 (*.f32 (fma.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_i)) (*.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (neg.f32 sinTheta_i))))) (neg.f32 v))))
(/.f32 (neg.f32 (*.f32 (*.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 (neg.f32 cosTheta_O) cosTheta_i))) #s(literal 1 binary32))) (neg.f32 (*.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 (neg.f32 cosTheta_O) cosTheta_i)) v)))
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(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))) (/.f32 #s(literal 1/2 binary32) (exp.f32 (neg.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v)))))
(*.f32 (/.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))) (/.f32 (/.f32 #s(literal 1 binary32) v) (exp.f32 (neg.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v)))))
(*.f32 (/.f32 #s(literal -1/2 binary32) (exp.f32 (+.f32 #s(literal -6931/10000 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i))) v)))) (/.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 1 binary32)))
(*.f32 (/.f32 #s(literal -1/2 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (/.f32 #s(literal -1 binary32) v) (exp.f32 (-.f32 #s(literal -6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v)))))
(*.f32 (/.f32 #s(literal -1/2 binary32) (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))) (/.f32 (/.f32 #s(literal -1 binary32) v) (exp.f32 (neg.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v)))))
(*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (exp.f32 (+.f32 #s(literal -6931/10000 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i))) v)))))
(*.f32 (/.f32 (exp.f32 (neg.f32 (+.f32 #s(literal -6931/10000 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i))) v)))) #s(literal -1 binary32)) (/.f32 #s(literal -1/2 binary32) v))
(*.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v) #s(literal 6931/10000 binary32))) v) (/.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal -6931/10000 binary32))) (/.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 (/.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal -6931/10000 binary32))))
(*.f32 (/.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 v #s(literal 2 binary32))))
(*.f32 (/.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v)) (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1 binary32))) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 v #s(literal 2 binary32))))
(*.f32 (/.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v)) (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32))) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v))
(*.f32 (/.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v)) (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -1/2 binary32))) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (neg.f32 v)))
(*.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v) #s(literal 6931/10000 binary32))) (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1 binary32))) (/.f32 #s(literal 1/2 binary32) v))
(*.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v) #s(literal 6931/10000 binary32))) (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) v))
(*.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v) #s(literal 6931/10000 binary32))) (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -1/2 binary32))) (/.f32 #s(literal -1 binary32) v))
(*.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v) #s(literal 6931/10000 binary32))) #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 v (exp.f32 (/.f32 #s(literal 1 binary32) v))))))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32))) (/.f32 (exp.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v) #s(literal 6931/10000 binary32))) v))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -1/2 binary32))) (/.f32 (exp.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v) #s(literal 6931/10000 binary32))) (neg.f32 v)))
(*.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) v) #s(literal -1 binary32)) (exp.f32 (-.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v))))
(neg.f32 (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 v (exp.f32 (/.f32 #s(literal 1 binary32) v))))))
(exp.f32 (*.f32 (log.f32 (*.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32)))) #s(literal -1 binary32)))
(pow.f32 (*.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))) #s(literal -1 binary32))
(pow.f32 (*.f32 (*.f32 v #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal -1 binary32))
(pow.f32 (/.f32 (*.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 (*.f32 v (exp.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal 1/2 binary32)) #s(literal -1 binary32))
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)))) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 v (exp.f32 (/.f32 #s(literal 1 binary32) v))))))
(/.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 v #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 v (exp.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (*.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))))
(/.f32 #s(literal 1/2 binary32) (*.f32 v (exp.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 #s(literal 1/2 binary32) (neg.f32 (*.f32 (neg.f32 v) (exp.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 #s(literal 1/2 binary32) (neg.f32 (neg.f32 (*.f32 v (exp.f32 (/.f32 #s(literal 1 binary32) v))))))
(/.f32 #s(literal 1/2 binary32) (neg.f32 (*.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (neg.f32 v))))
(/.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 (/.f32 #s(literal 1/2 binary32) v) (neg.f32 (neg.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 (*.f32 v #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (*.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))) #s(literal 1 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (*.f32 v (exp.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal 1/2 binary32))))
(/.f32 #s(literal -1/2 binary32) (*.f32 (neg.f32 v) (exp.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 #s(literal -1/2 binary32) (neg.f32 (*.f32 v (exp.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 #s(literal -1/2 binary32) (*.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (neg.f32 v)))
(/.f32 (/.f32 #s(literal -1/2 binary32) v) (neg.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (/.f32 #s(literal -1/2 binary32) v) (neg.f32 (neg.f32 (neg.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v))))))
(/.f32 (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 v #s(literal 2 binary32)))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v)))) v)
(/.f32 (*.f32 #s(literal -1/2 binary32) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v)))) (neg.f32 v))
(/.f32 (/.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v))) v)
(/.f32 (neg.f32 (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v)))) (neg.f32 (*.f32 v #s(literal 2 binary32))))
(/.f32 (neg.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v))))) (neg.f32 v))
(/.f32 (neg.f32 (*.f32 #s(literal -1/2 binary32) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v))))) (neg.f32 (neg.f32 v)))
(/.f32 (neg.f32 (/.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v)))) (neg.f32 v))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 v (exp.f32 (/.f32 #s(literal 1 binary32) v)))))
(*.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)))
(*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 v (exp.f32 (/.f32 #s(literal 1 binary32) v)))))
(*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) v) (exp.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v))) v))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal 1 binary32)))
(*.f32 #s(literal -1/2 binary32) (/.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 (/.f32 #s(literal -1/2 binary32) v) (/.f32 #s(literal 1 binary32) (neg.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)))))
(*.f32 (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v))
(*.f32 (pow.f32 (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32)) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) v))
(*.f32 (pow.f32 (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -1/2 binary32)) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) v))

simplify432.0ms (3.2%)

Memory
-38.9MiB live, 664.6MiB allocated
Algorithm
egg-herbie
Rules
7 642×lower-fma.f64
7 642×lower-fma.f32
6 900×lower-*.f64
6 900×lower-*.f32
5 268×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0107010989
1362110424
083689897
Stop Event
iter limit
node limit
Counts
516 → 516
Calls
Call 1
Inputs
(/ (* cosTheta_O cosTheta_i) v)
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))
(* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))
(* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ sinTheta_i v))))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ sinTheta_i v))))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ sinTheta_i v))))
(/ (* cosTheta_O cosTheta_i) v)
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))
(* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))
(* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ sinTheta_O v))))
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ sinTheta_O v))))
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ sinTheta_O v))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_O (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v)))
(* cosTheta_O (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v)))
(* cosTheta_O (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v)))
(/ (* cosTheta_O cosTheta_i) v)
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_i (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ cosTheta_O v)))
(* cosTheta_i (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ cosTheta_O v)))
(* cosTheta_i (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ cosTheta_O v)))
(/ (* cosTheta_O cosTheta_i) v)
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) v)
(/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) v)
(/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) v)
(/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) v)
(/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) v)
(/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) v)
(/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) v)
(/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) v)
(/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) v)
(/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) v)
(/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) v)
(/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) v)
(exp (- (/ 1 v) (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))))
(exp (- (/ 1 v) (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))))
(exp (- (/ 1 v) (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))))
(exp (- (/ 1 v) (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))))
(exp -6931/10000)
(+ (exp -6931/10000) (/ (* (exp -6931/10000) (- 1 (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)))) v))
(+ (exp -6931/10000) (+ (* 1/2 (/ (* (exp -6931/10000) (pow (- 1 (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))) 2)) (pow v 2))) (/ (* (exp -6931/10000) (- 1 (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)))) v)))
(+ (exp -6931/10000) (+ (* 1/6 (/ (* (exp -6931/10000) (pow (- 1 (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))) 3)) (pow v 3))) (+ (* 1/2 (/ (* (exp -6931/10000) (pow (- 1 (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))) 2)) (pow v 2))) (/ (* (exp -6931/10000) (- 1 (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)))) v))))
(exp -6931/10000)
(+ (exp -6931/10000) (/ (* (exp -6931/10000) (+ 1 (* -1 (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))))) v))
(+ (exp -6931/10000) (* -1 (/ (+ (* -1 (* (exp -6931/10000) (+ 1 (* -1 (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)))))) (* -1/2 (/ (* (exp -6931/10000) (pow (+ 1 (* -1 (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)))) 2)) v))) v)))
(+ (exp -6931/10000) (* -1 (/ (+ (* -1 (* (exp -6931/10000) (+ 1 (* -1 (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)))))) (* -1 (/ (+ (* 1/6 (/ (* (exp -6931/10000) (pow (+ 1 (* -1 (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)))) 3)) v)) (* 1/2 (* (exp -6931/10000) (pow (+ 1 (* -1 (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)))) 2)))) v))) v)))
(exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
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1
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-1
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-1
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(* cosTheta_O cosTheta_i)
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(exp 6931/10000)
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6931/10000
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6931/10000
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(* 2 (/ v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
(* 2 (/ v (exp 6931/10000)))
(* v (+ (* 2 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* v (exp 6931/10000)))) (* 2 (/ 1 (exp 6931/10000)))))
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(* 2 (/ v (exp 6931/10000)))
(* -1 (* v (- (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* v (exp 6931/10000)))) (* 2 (/ 1 (exp 6931/10000))))))
(* -1 (* v (- (* -1 (/ (- (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* v (exp 6931/10000)))) (* 2 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* v (exp 6931/10000))))) (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) (exp 6931/10000)))) v)) (* 2 (/ 1 (exp 6931/10000))))))
(* -1 (* v (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ 1 (* sinTheta_O sinTheta_i)) (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (exp 6931/10000))) (* 2 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (exp 6931/10000))))) v)) (+ (* -1/3 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* v (exp 6931/10000)))) (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* v (exp 6931/10000))))) (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (exp 6931/10000))) (* 2 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (exp 6931/10000))))) v)) (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) (exp 6931/10000)))) v)) (* 2 (/ 1 (exp 6931/10000))))))
(* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v))
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(* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))
(* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))
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(* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))
(* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))
(* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))
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(* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))
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(* 1/2 (/ (exp 6931/10000) v))
(/ (+ (* -1/2 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (* 1/2 (exp 6931/10000))) v)
(/ (+ (* -1/2 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (+ (* 1/4 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (pow v 2))) (* 1/2 (exp 6931/10000)))) v)
(/ (+ (* -1/2 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (+ (* -1/12 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (pow v 3))) (+ (* 1/4 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (pow v 2))) (* 1/2 (exp 6931/10000))))) v)
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(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))) (* 1/4 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) v))) v)) (* -1/2 (exp 6931/10000))) v))
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(exp (/ 1 v))
(exp (/ 1 v))
(exp (/ 1 v))
(exp (/ 1 v))
1
(+ 1 (/ 1 v))
(+ 1 (+ (/ 1/2 (pow v 2)) (/ 1 v)))
(+ 1 (+ (/ 1/2 (pow v 2)) (+ (/ 1 v) (* 1/6 (/ 1 (pow v 3))))))
1
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(* 1/2 (/ (exp (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (* v (exp (/ 1 v)))))
(* 1/2 (/ (exp (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (* v (exp (/ 1 v)))))
(* 1/2 (/ (exp (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (* v (exp (/ 1 v)))))
(* 1/2 (/ (exp (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (* v (exp (/ 1 v)))))
(* 1/2 (/ (exp 6931/10000) v))
(/ (+ (* 1/2 (exp 6931/10000)) (* 1/2 (/ (- (* (exp 6931/10000) (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))) (exp 6931/10000)) v))) v)
(/ (+ (* 1/2 (exp 6931/10000)) (+ (* 1/2 (/ (- (* (exp 6931/10000) (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))) (exp 6931/10000)) v)) (* 1/2 (/ (- (+ (exp 6931/10000) (* 1/2 (* (exp 6931/10000) (pow (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 2)))) (+ (* 1/2 (exp 6931/10000)) (* (exp 6931/10000) (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))))) (pow v 2))))) v)
(/ (+ (* 1/2 (exp 6931/10000)) (+ (* 1/2 (/ (- (* (exp 6931/10000) (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))) (exp 6931/10000)) v)) (+ (* 1/2 (/ (- (+ (exp 6931/10000) (* 1/2 (* (exp 6931/10000) (pow (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 2)))) (+ (* 1/2 (exp 6931/10000)) (* (exp 6931/10000) (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))))) (pow v 2))) (* 1/2 (/ (- (+ (* 1/6 (* (exp 6931/10000) (pow (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 3))) (+ (* 1/2 (exp 6931/10000)) (* (exp 6931/10000) (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))))) (+ (exp 6931/10000) (+ (* 1/6 (exp 6931/10000)) (+ (* 1/2 (* (exp 6931/10000) (pow (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 2))) (* 1/2 (- (* (exp 6931/10000) (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))) (exp 6931/10000))))))) (pow v 3)))))) v)
(* 1/2 (/ (exp 6931/10000) v))
(* -1 (/ (+ (* -1/2 (exp 6931/10000)) (* 1/2 (/ (- (* -1 (* (exp 6931/10000) (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)))) (* -1 (exp 6931/10000))) v))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* -1 (* (exp 6931/10000) (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)))) (* -1 (exp 6931/10000)))) (* 1/2 (/ (- (* 1/2 (* (exp 6931/10000) (pow (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 2))) (+ (* -1 (- (* -1 (* (exp 6931/10000) (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)))) (* -1 (exp 6931/10000)))) (* 1/2 (exp 6931/10000)))) v))) v)) (* -1/2 (exp 6931/10000))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* 1/2 (* (exp 6931/10000) (pow (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 2))) (+ (* -1 (- (* -1 (* (exp 6931/10000) (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)))) (* -1 (exp 6931/10000)))) (* 1/2 (exp 6931/10000))))) (* 1/2 (/ (- (* -1/6 (* (exp 6931/10000) (pow (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 3))) (+ (* -1 (- (* 1/2 (* (exp 6931/10000) (pow (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 2))) (+ (* -1 (- (* -1 (* (exp 6931/10000) (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)))) (* -1 (exp 6931/10000)))) (* 1/2 (exp 6931/10000))))) (+ (* -1/6 (exp 6931/10000)) (* 1/2 (- (* -1 (* (exp 6931/10000) (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)))) (* -1 (exp 6931/10000))))))) v))) v)) (* -1/2 (- (* -1 (* (exp 6931/10000) (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)))) (* -1 (exp 6931/10000))))) v)) (* -1/2 (exp 6931/10000))) v))
(* 1/2 (/ (exp (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))) (* v (exp (/ 1 v)))))
(+ (* -1/2 (/ (* sinTheta_O (* sinTheta_i (exp (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))) (* (pow v 2) (exp (/ 1 v))))) (* 1/2 (/ (exp (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))) (* v (exp (/ 1 v))))))
(+ (* 1/2 (/ (exp (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))) (* v (exp (/ 1 v))))) (* sinTheta_O (+ (* -1/2 (/ (* sinTheta_i (exp (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (* (pow v 2) (exp (/ 1 v))))) (* 1/4 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))) (* (pow v 3) (exp (/ 1 v))))))))
(+ (* 1/2 (/ (exp (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))) (* v (exp (/ 1 v))))) (* sinTheta_O (+ (* -1/2 (/ (* sinTheta_i (exp (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (* (pow v 2) (exp (/ 1 v))))) (* sinTheta_O (+ (* -1/12 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))) (* (pow v 4) (exp (/ 1 v))))) (* 1/4 (/ (* (pow sinTheta_i 2) (exp (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (* (pow v 3) (exp (/ 1 v))))))))))
(* 1/2 (/ (exp (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (* v (exp (/ 1 v)))))
(* 1/2 (/ (exp (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (* v (exp (/ 1 v)))))
(* 1/2 (/ (exp (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (* v (exp (/ 1 v)))))
(* 1/2 (/ (exp (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (* v (exp (/ 1 v)))))
(* 1/2 (/ (exp (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (* v (exp (/ 1 v)))))
(* 1/2 (/ (exp (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (* v (exp (/ 1 v)))))
(* 1/2 (/ (exp (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (* v (exp (/ 1 v)))))
(* 1/2 (/ (exp (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (* v (exp (/ 1 v)))))
(* 1/2 (/ (exp (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))) (* v (exp (/ 1 v)))))
(+ (* -1/2 (/ (* sinTheta_O (* sinTheta_i (exp (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))) (* (pow v 2) (exp (/ 1 v))))) (* 1/2 (/ (exp (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))) (* v (exp (/ 1 v))))))
(+ (* 1/2 (/ (exp (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))) (* v (exp (/ 1 v))))) (* sinTheta_i (+ (* -1/2 (/ (* sinTheta_O (exp (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (* (pow v 2) (exp (/ 1 v))))) (* 1/4 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))) (* (pow v 3) (exp (/ 1 v))))))))
(+ (* 1/2 (/ (exp (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))) (* v (exp (/ 1 v))))) (* sinTheta_i (+ (* -1/2 (/ (* sinTheta_O (exp (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (* (pow v 2) (exp (/ 1 v))))) (* sinTheta_i (+ (* -1/12 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))) (* (pow v 4) (exp (/ 1 v))))) (* 1/4 (/ (* (pow sinTheta_O 2) (exp (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (* (pow v 3) (exp (/ 1 v))))))))))
(* 1/2 (/ (exp (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (* v (exp (/ 1 v)))))
(* 1/2 (/ (exp (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (* v (exp (/ 1 v)))))
(* 1/2 (/ (exp (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (* v (exp (/ 1 v)))))
(* 1/2 (/ (exp (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (* v (exp (/ 1 v)))))
(* 1/2 (/ (exp (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (* v (exp (/ 1 v)))))
(* 1/2 (/ (exp (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (* v (exp (/ 1 v)))))
(* 1/2 (/ (exp (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (* v (exp (/ 1 v)))))
(* 1/2 (/ (exp (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (* v (exp (/ 1 v)))))
(* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (/ 1 v)))))
(+ (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (/ 1 v))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))))) (* (pow v 2) (exp (/ 1 v))))))
(+ (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (/ 1 v))))) (* cosTheta_O (+ (* 1/4 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))))) (* (pow v 3) (exp (/ 1 v))))) (* 1/2 (/ (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (exp (/ 1 v))))))))
(+ (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (/ 1 v))))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (exp (/ 1 v))))) (* cosTheta_O (+ (* 1/12 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))))) (* (pow v 4) (exp (/ 1 v))))) (* 1/4 (/ (* (pow cosTheta_i 2) (exp (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 3) (exp (/ 1 v))))))))))
(* 1/2 (/ (exp (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (* v (exp (/ 1 v)))))
(* 1/2 (/ (exp (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (* v (exp (/ 1 v)))))
(* 1/2 (/ (exp (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (* v (exp (/ 1 v)))))
(* 1/2 (/ (exp (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (* v (exp (/ 1 v)))))
(* 1/2 (/ (exp (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (* v (exp (/ 1 v)))))
(* 1/2 (/ (exp (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (* v (exp (/ 1 v)))))
(* 1/2 (/ (exp (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (* v (exp (/ 1 v)))))
(* 1/2 (/ (exp (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (* v (exp (/ 1 v)))))
(* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (/ 1 v)))))
(+ (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (/ 1 v))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))))) (* (pow v 2) (exp (/ 1 v))))))
(+ (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (/ 1 v))))) (* cosTheta_i (+ (* 1/4 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))))) (* (pow v 3) (exp (/ 1 v))))) (* 1/2 (/ (* cosTheta_O (exp (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (exp (/ 1 v))))))))
(+ (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (/ 1 v))))) (* cosTheta_i (+ (* 1/2 (/ (* cosTheta_O (exp (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (exp (/ 1 v))))) (* cosTheta_i (+ (* 1/12 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))))) (* (pow v 4) (exp (/ 1 v))))) (* 1/4 (/ (* (pow cosTheta_O 2) (exp (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 3) (exp (/ 1 v))))))))))
(* 1/2 (/ (exp (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (* v (exp (/ 1 v)))))
(* 1/2 (/ (exp (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (* v (exp (/ 1 v)))))
(* 1/2 (/ (exp (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (* v (exp (/ 1 v)))))
(* 1/2 (/ (exp (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (* v (exp (/ 1 v)))))
(* 1/2 (/ (exp (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (* v (exp (/ 1 v)))))
(* 1/2 (/ (exp (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (* v (exp (/ 1 v)))))
(* 1/2 (/ (exp (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (* v (exp (/ 1 v)))))
(* 1/2 (/ (exp (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (* v (exp (/ 1 v)))))
(/ 1/2 (* v (exp (/ 1 v))))
(/ 1/2 (* v (exp (/ 1 v))))
(/ 1/2 (* v (exp (/ 1 v))))
(/ 1/2 (* v (exp (/ 1 v))))
(/ 1/2 v)
(/ (- 1/2 (* 1/2 (/ 1 v))) v)
(/ (- (+ 1/2 (/ 1/4 (pow v 2))) (* 1/2 (/ 1 v))) v)
(/ (- (+ 1/2 (/ 1/4 (pow v 2))) (+ (* 1/2 (/ 1 v)) (* 1/12 (/ 1 (pow v 3))))) v)
(/ 1/2 v)
(* -1 (/ (- (* 1/2 (/ 1 v)) 1/2) v))
(* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 v)) 1/2) v)) 1/2) v))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/12 (/ 1 v)) 1/4) v)) 1/2) v)) 1/2) v))
Outputs
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) (/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) (/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) (/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v)
(* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))
(*.f32 sinTheta_O (fma.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v sinTheta_O)) (/.f32 sinTheta_i (neg.f32 v))))
(* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))
(*.f32 sinTheta_O (fma.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v sinTheta_O)) (/.f32 sinTheta_i (neg.f32 v))))
(* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))
(*.f32 sinTheta_O (fma.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v sinTheta_O)) (/.f32 sinTheta_i (neg.f32 v))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v)
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ sinTheta_i v))))
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(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ sinTheta_i v))))
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(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
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(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
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(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
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(* -1 (/ (* sinTheta_O sinTheta_i) v))
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(* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))
(*.f32 sinTheta_i (fma.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v sinTheta_i)) (/.f32 sinTheta_O (neg.f32 v))))
(* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))
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(* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))
(*.f32 sinTheta_i (fma.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v sinTheta_i)) (/.f32 sinTheta_O (neg.f32 v))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v)
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(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v)
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(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
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(/ (* cosTheta_O cosTheta_i) v)
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(* cosTheta_O (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v)))
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(* cosTheta_O (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v)))
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(/ (* cosTheta_O cosTheta_i) v)
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(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
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(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v)
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(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) (/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
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(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(* cosTheta_i (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ cosTheta_O v)))
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(* cosTheta_i (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ cosTheta_O v)))
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(* cosTheta_i (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ cosTheta_O v)))
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(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
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(/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) v)
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(/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) v)
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(/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) v)
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(/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) v)
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(/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) v)
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(/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) v)
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(/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) v)
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(/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) v)
(/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v)
(/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) v)
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(/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) v)
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(/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) v)
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(/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) v)
(/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v)
(exp (- (/ 1 v) (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))))
(exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 6931/10000 binary32)))))
(exp (- (/ 1 v) (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))))
(exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 6931/10000 binary32)))))
(exp (- (/ 1 v) (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))))
(exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 6931/10000 binary32)))))
(exp (- (/ 1 v) (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))))
(exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 6931/10000 binary32)))))
(exp -6931/10000)
(exp.f32 #s(literal -6931/10000 binary32))
(+ (exp -6931/10000) (/ (* (exp -6931/10000) (- 1 (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)))) v))
(fma.f32 (exp.f32 #s(literal -6931/10000 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i)))) v) (exp.f32 #s(literal -6931/10000 binary32)))
(+ (exp -6931/10000) (+ (* 1/2 (/ (* (exp -6931/10000) (pow (- 1 (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))) 2)) (pow v 2))) (/ (* (exp -6931/10000) (- 1 (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)))) v)))
(fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (exp.f32 #s(literal -6931/10000 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i)))) (-.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i)))))) (*.f32 v v)) (fma.f32 (exp.f32 #s(literal -6931/10000 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i)))) v) (exp.f32 #s(literal -6931/10000 binary32))))
(+ (exp -6931/10000) (+ (* 1/6 (/ (* (exp -6931/10000) (pow (- 1 (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))) 3)) (pow v 3))) (+ (* 1/2 (/ (* (exp -6931/10000) (pow (- 1 (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))) 2)) (pow v 2))) (/ (* (exp -6931/10000) (- 1 (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)))) v))))
(fma.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 (exp.f32 #s(literal -6931/10000 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i)))) (*.f32 (-.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i)))) (-.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i))))))) (*.f32 v (*.f32 v v))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (exp.f32 #s(literal -6931/10000 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i)))) (-.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i)))))) (*.f32 v v)) (fma.f32 (exp.f32 #s(literal -6931/10000 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i)))) v) (exp.f32 #s(literal -6931/10000 binary32)))))
(exp -6931/10000)
(exp.f32 #s(literal -6931/10000 binary32))
(+ (exp -6931/10000) (/ (* (exp -6931/10000) (+ 1 (* -1 (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))))) v))
(fma.f32 (exp.f32 #s(literal -6931/10000 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O cosTheta_i (*.f32 sinTheta_O (neg.f32 sinTheta_i)))) v) (exp.f32 #s(literal -6931/10000 binary32)))
(+ (exp -6931/10000) (* -1 (/ (+ (* -1 (* (exp -6931/10000) (+ 1 (* -1 (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)))))) (* -1/2 (/ (* (exp -6931/10000) (pow (+ 1 (* -1 (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)))) 2)) v))) v)))
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(+ (exp -6931/10000) (* -1 (/ (+ (* -1 (* (exp -6931/10000) (+ 1 (* -1 (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)))))) (* -1 (/ (+ (* 1/6 (/ (* (exp -6931/10000) (pow (+ 1 (* -1 (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)))) 3)) v)) (* 1/2 (* (exp -6931/10000) (pow (+ 1 (* -1 (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)))) 2)))) v))) v)))
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(exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 6931/10000 binary32))))
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(fma.f32 sinTheta_O (/.f32 (*.f32 sinTheta_i (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 6931/10000 binary32))))) v) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 6931/10000 binary32)))))
(+ (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (* sinTheta_O (+ (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))) (pow v 2))) (/ (* sinTheta_i (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))) v))))
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(+ (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (* sinTheta_O (+ (* sinTheta_O (+ (* 1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))) (pow v 2))))) (/ (* sinTheta_i (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))) v))))
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(exp (- (/ 1 v) (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))))
(exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 6931/10000 binary32)))))
(exp (- (/ 1 v) (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))))
(exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 6931/10000 binary32)))))
(exp (- (/ 1 v) (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))))
(exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 6931/10000 binary32)))))
(exp (- (/ 1 v) (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))))
(exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 6931/10000 binary32)))))
(exp (- (/ 1 v) (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))))
(exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 6931/10000 binary32)))))
(exp (- (/ 1 v) (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))))
(exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 6931/10000 binary32)))))
(exp (- (/ 1 v) (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))))
(exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 6931/10000 binary32)))))
(exp (- (/ 1 v) (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))))
(exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 6931/10000 binary32)))))
(exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 6931/10000 binary32))))
(+ (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (/ (* sinTheta_O (* sinTheta_i (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))) v))
(fma.f32 sinTheta_O (/.f32 (*.f32 sinTheta_i (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 6931/10000 binary32))))) v) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 6931/10000 binary32)))))
(+ (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (* sinTheta_i (+ (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))) (pow v 2))) (/ (* sinTheta_O (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))) v))))
(fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 6931/10000 binary32))))) (*.f32 v v)) (/.f32 (*.f32 sinTheta_O (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 6931/10000 binary32))))) v)) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 6931/10000 binary32)))))
(+ (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))) (pow v 2))))) (/ (* sinTheta_O (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))) v))))
(fma.f32 sinTheta_i (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 6931/10000 binary32)))) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v)) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 6931/10000 binary32)))))) (*.f32 v (*.f32 v v)))) (/.f32 (*.f32 sinTheta_O (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 6931/10000 binary32))))) v)) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 6931/10000 binary32)))))
(exp (- (/ 1 v) (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))))
(exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 6931/10000 binary32)))))
(exp (- (/ 1 v) (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))))
(exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 6931/10000 binary32)))))
(exp (- (/ 1 v) (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))))
(exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 6931/10000 binary32)))))
(exp (- (/ 1 v) (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))))
(exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 6931/10000 binary32)))))
(exp (- (/ 1 v) (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))))
(exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 6931/10000 binary32)))))
(exp (- (/ 1 v) (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))))
(exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 6931/10000 binary32)))))
(exp (- (/ 1 v) (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))))
(exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 6931/10000 binary32)))))
(exp (- (/ 1 v) (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))))
(exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 6931/10000 binary32)))))
(exp (- (/ 1 v) (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))))
(exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 6931/10000 binary32))))
(+ (exp (- (/ 1 v) (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* -1 (/ (* cosTheta_O (* cosTheta_i (exp (- (/ 1 v) (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))))))) v)))
(fma.f32 cosTheta_O (/.f32 (*.f32 cosTheta_i (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 6931/10000 binary32))))) (neg.f32 v)) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 6931/10000 binary32)))))
(+ (exp (- (/ 1 v) (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* cosTheta_O (+ (* -1 (/ (* cosTheta_i (exp (- (/ 1 v) (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))))) v)) (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (/ 1 v) (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))))))) (pow v 2))))))
(fma.f32 cosTheta_O (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i cosTheta_i)) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 6931/10000 binary32))))) (*.f32 v v)) (/.f32 (*.f32 cosTheta_i (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 6931/10000 binary32))))) (neg.f32 v))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 6931/10000 binary32)))))
(+ (exp (- (/ 1 v) (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* cosTheta_O (+ (* -1 (/ (* cosTheta_i (exp (- (/ 1 v) (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))))) v)) (* cosTheta_O (+ (* -1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (/ 1 v) (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (/ 1 v) (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))))))))
(fma.f32 cosTheta_O (fma.f32 cosTheta_O (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 6931/10000 binary32)))) (*.f32 cosTheta_i cosTheta_i)) (*.f32 v v)) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 cosTheta_i cosTheta_i))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 6931/10000 binary32)))))) (*.f32 v (*.f32 v v)))) (/.f32 (*.f32 cosTheta_i (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 6931/10000 binary32))))) (neg.f32 v))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 6931/10000 binary32)))))
(exp (- (/ 1 v) (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))))
(exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 6931/10000 binary32)))))
(exp (- (/ 1 v) (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))))
(exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 6931/10000 binary32)))))
(exp (- (/ 1 v) (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))))
(exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 6931/10000 binary32)))))
(exp (- (/ 1 v) (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))))
(exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 6931/10000 binary32)))))
(exp (- (/ 1 v) (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))))
(exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 6931/10000 binary32)))))
(exp (- (/ 1 v) (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))))
(exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 6931/10000 binary32)))))
(exp (- (/ 1 v) (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))))
(exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 6931/10000 binary32)))))
(exp (- (/ 1 v) (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))))
(exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 6931/10000 binary32)))))
(exp (- (/ 1 v) (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))))
(exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 6931/10000 binary32))))
(+ (exp (- (/ 1 v) (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* -1 (/ (* cosTheta_O (* cosTheta_i (exp (- (/ 1 v) (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))))))) v)))
(fma.f32 cosTheta_O (/.f32 (*.f32 cosTheta_i (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 6931/10000 binary32))))) (neg.f32 v)) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 6931/10000 binary32)))))
(+ (exp (- (/ 1 v) (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* cosTheta_i (+ (* -1 (/ (* cosTheta_O (exp (- (/ 1 v) (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))))) v)) (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (/ 1 v) (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))))))) (pow v 2))))))
(fma.f32 cosTheta_i (fma.f32 cosTheta_O (neg.f32 (/.f32 (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 6931/10000 binary32)))) v)) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 cosTheta_O cosTheta_O) cosTheta_i) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 6931/10000 binary32)))))) (*.f32 v v))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 6931/10000 binary32)))))
(+ (exp (- (/ 1 v) (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* cosTheta_i (+ (* -1 (/ (* cosTheta_O (exp (- (/ 1 v) (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))))) v)) (* cosTheta_i (+ (* -1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- (/ 1 v) (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- (/ 1 v) (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))))))))
(fma.f32 cosTheta_i (fma.f32 cosTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 6931/10000 binary32)))) (*.f32 cosTheta_O cosTheta_O)) (*.f32 v v)) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 cosTheta_O (*.f32 cosTheta_O cosTheta_O)) cosTheta_i) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 6931/10000 binary32)))))) (*.f32 v (*.f32 v v)))) (/.f32 (*.f32 cosTheta_O (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 6931/10000 binary32))))) (neg.f32 v))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 6931/10000 binary32)))))
(exp (- (/ 1 v) (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))))
(exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 6931/10000 binary32)))))
(exp (- (/ 1 v) (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))))
(exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 6931/10000 binary32)))))
(exp (- (/ 1 v) (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))))
(exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 6931/10000 binary32)))))
(exp (- (/ 1 v) (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))))
(exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 6931/10000 binary32)))))
(exp (- (/ 1 v) (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))))
(exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 6931/10000 binary32)))))
(exp (- (/ 1 v) (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))))
(exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 6931/10000 binary32)))))
(exp (- (/ 1 v) (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))))
(exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 6931/10000 binary32)))))
(exp (- (/ 1 v) (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))))
(exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 6931/10000 binary32)))))
(/ 1 v)
(/.f32 #s(literal 1 binary32) v)
(/ (+ 1 (* -6931/10000 v)) v)
(/.f32 (fma.f32 v #s(literal -6931/10000 binary32) #s(literal 1 binary32)) v)
(/ (+ 1 (* -6931/10000 v)) v)
(/.f32 (fma.f32 v #s(literal -6931/10000 binary32) #s(literal 1 binary32)) v)
(/ (+ 1 (* -6931/10000 v)) v)
(/.f32 (fma.f32 v #s(literal -6931/10000 binary32) #s(literal 1 binary32)) v)
-6931/10000
#s(literal -6931/10000 binary32)
(- (/ 1 v) 6931/10000)
(+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))
(- (/ 1 v) 6931/10000)
(+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))
(- (/ 1 v) 6931/10000)
(+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))
-6931/10000
#s(literal -6931/10000 binary32)
(- (/ 1 v) 6931/10000)
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(/ 1/2 (* v (exp (- (/ 1 v) (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))))))
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(/ 1/2 (* v (exp (- (/ 1 v) (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))))))
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(/ 1/2 (* v (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))
(/.f32 #s(literal 1/2 binary32) (*.f32 v (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 6931/10000 binary32))))))
(+ (* -1/2 (/ (* sinTheta_O sinTheta_i) (* (pow v 2) (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))) (* 1/2 (/ 1 (* v (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))))
(fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 (*.f32 v v) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 6931/10000 binary32)))))) (/.f32 #s(literal 1/2 binary32) (*.f32 v (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 6931/10000 binary32)))))))
(+ (* sinTheta_i (- (* -1 (* sinTheta_i (+ (* -1/2 (/ (pow sinTheta_O 2) (* (pow v 3) (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))) (* 1/4 (/ (pow sinTheta_O 2) (* (pow v 3) (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))))))) (* 1/2 (/ sinTheta_O (* (pow v 2) (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))))) (* 1/2 (/ 1 (* v (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))))
(fma.f32 sinTheta_i (fma.f32 sinTheta_i (/.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 (*.f32 v (*.f32 v v)) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 6931/10000 binary32)))))) (*.f32 #s(literal -1/2 binary32) (/.f32 sinTheta_O (*.f32 (*.f32 v v) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 6931/10000 binary32)))))))) (/.f32 #s(literal 1/2 binary32) (*.f32 v (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 6931/10000 binary32)))))))
(+ (* sinTheta_i (- (* sinTheta_i (- (* -1 (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (+ (* -1/2 (/ (pow sinTheta_O 2) (* (pow v 3) (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))) (* 1/4 (/ (pow sinTheta_O 2) (* (pow v 3) (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))))) v)) (+ (* -1/4 (/ (pow sinTheta_O 3) (* (pow v 4) (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))) (* 1/12 (/ (pow sinTheta_O 3) (* (pow v 4) (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))))))) (+ (* -1/2 (/ (pow sinTheta_O 2) (* (pow v 3) (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))) (* 1/4 (/ (pow sinTheta_O 2) (* (pow v 3) (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))))))) (* 1/2 (/ sinTheta_O (* (pow v 2) (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))))) (* 1/2 (/ 1 (* v (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))))
(fma.f32 sinTheta_i (fma.f32 sinTheta_i (fma.f32 (fma.f32 (neg.f32 sinTheta_O) (/.f32 (*.f32 (/.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 (*.f32 v (*.f32 v v)) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 6931/10000 binary32)))))) #s(literal -1/4 binary32)) v) (*.f32 (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) (*.f32 (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 6931/10000 binary32)))) (pow.f32 v #s(literal 4 binary32)))) #s(literal -1/6 binary32))) (neg.f32 sinTheta_i) (/.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 (*.f32 v (*.f32 v v)) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 6931/10000 binary32))))))) (*.f32 #s(literal -1/2 binary32) (/.f32 sinTheta_O (*.f32 (*.f32 v v) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 6931/10000 binary32)))))))) (/.f32 #s(literal 1/2 binary32) (*.f32 v (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 6931/10000 binary32)))))))
(/ 1/2 (* v (exp (- (/ 1 v) (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))))))
(/.f32 #s(literal 1/2 binary32) (*.f32 v (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 6931/10000 binary32)))))))
(/ 1/2 (* v (exp (- (/ 1 v) (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))))))
(/.f32 #s(literal 1/2 binary32) (*.f32 v (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 6931/10000 binary32)))))))
(/ 1/2 (* v (exp (- (/ 1 v) (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))))))
(/.f32 #s(literal 1/2 binary32) (*.f32 v (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 6931/10000 binary32)))))))
(/ 1/2 (* v (exp (- (/ 1 v) (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))))))
(/.f32 #s(literal 1/2 binary32) (*.f32 v (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 6931/10000 binary32)))))))
(/ 1/2 (* v (exp (- (/ 1 v) (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))))))
(/.f32 #s(literal 1/2 binary32) (*.f32 v (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 6931/10000 binary32)))))))
(/ 1/2 (* v (exp (- (/ 1 v) (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))))))
(/.f32 #s(literal 1/2 binary32) (*.f32 v (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 6931/10000 binary32)))))))
(/ 1/2 (* v (exp (- (/ 1 v) (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))))))
(/.f32 #s(literal 1/2 binary32) (*.f32 v (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 6931/10000 binary32)))))))
(/ 1/2 (* v (exp (- (/ 1 v) (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))))))
(/.f32 #s(literal 1/2 binary32) (*.f32 v (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 6931/10000 binary32)))))))
(/ 1/2 (* v (exp (- (/ 1 v) (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))))))
(/.f32 #s(literal 1/2 binary32) (*.f32 v (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 6931/10000 binary32))))))
(+ (* 1/2 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (exp (- (/ 1 v) (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))))))) (* 1/2 (/ 1 (* v (exp (- (/ 1 v) (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))))))))
(fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 v v) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 6931/10000 binary32)))))) (/.f32 #s(literal 1/2 binary32) (*.f32 v (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 6931/10000 binary32)))))))
(+ (* cosTheta_O (- (* -1 (* cosTheta_O (+ (* -1/2 (/ (pow cosTheta_i 2) (* (pow v 3) (exp (- (/ 1 v) (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))))))) (* 1/4 (/ (pow cosTheta_i 2) (* (pow v 3) (exp (- (/ 1 v) (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))))))))))) (* -1/2 (/ cosTheta_i (* (pow v 2) (exp (- (/ 1 v) (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))))))))) (* 1/2 (/ 1 (* v (exp (- (/ 1 v) (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))))))))
(fma.f32 cosTheta_O (fma.f32 cosTheta_O (/.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 cosTheta_i cosTheta_i)) (*.f32 (*.f32 v (*.f32 v v)) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 6931/10000 binary32)))))) (*.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_i (*.f32 (*.f32 v v) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 6931/10000 binary32)))))))) (/.f32 #s(literal 1/2 binary32) (*.f32 v (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 6931/10000 binary32)))))))
(+ (* cosTheta_O (- (* cosTheta_O (- (* -1 (* cosTheta_O (+ (* -1/12 (/ (pow cosTheta_i 3) (* (pow v 4) (exp (- (/ 1 v) (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))))))) (+ (* 1/4 (/ (pow cosTheta_i 3) (* (pow v 4) (exp (- (/ 1 v) (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))))))) (/ (* cosTheta_i (+ (* -1/2 (/ (pow cosTheta_i 2) (* (pow v 3) (exp (- (/ 1 v) (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))))))) (* 1/4 (/ (pow cosTheta_i 2) (* (pow v 3) (exp (- (/ 1 v) (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))))))))) v))))) (+ (* -1/2 (/ (pow cosTheta_i 2) (* (pow v 3) (exp (- (/ 1 v) (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))))))) (* 1/4 (/ (pow cosTheta_i 2) (* (pow v 3) (exp (- (/ 1 v) (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))))))))))) (* -1/2 (/ cosTheta_i (* (pow v 2) (exp (- (/ 1 v) (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))))))))) (* 1/2 (/ 1 (* v (exp (- (/ 1 v) (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))))))))
(fma.f32 cosTheta_O (fma.f32 cosTheta_O (fma.f32 (fma.f32 (/.f32 (*.f32 cosTheta_i (*.f32 cosTheta_i cosTheta_i)) (*.f32 (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 6931/10000 binary32)))) (pow.f32 v #s(literal 4 binary32)))) #s(literal 1/6 binary32) (/.f32 (*.f32 cosTheta_i (*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_i) (*.f32 (*.f32 v (*.f32 v v)) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 6931/10000 binary32)))))) #s(literal -1/4 binary32))) v)) (neg.f32 cosTheta_O) (/.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 cosTheta_i cosTheta_i)) (*.f32 (*.f32 v (*.f32 v v)) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 6931/10000 binary32))))))) (*.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_i (*.f32 (*.f32 v v) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 6931/10000 binary32)))))))) (/.f32 #s(literal 1/2 binary32) (*.f32 v (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 6931/10000 binary32)))))))
(/ 1/2 (* v (exp (- (/ 1 v) (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))))))
(/.f32 #s(literal 1/2 binary32) (*.f32 v (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 6931/10000 binary32)))))))
(/ 1/2 (* v (exp (- (/ 1 v) (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))))))
(/.f32 #s(literal 1/2 binary32) (*.f32 v (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 6931/10000 binary32)))))))
(/ 1/2 (* v (exp (- (/ 1 v) (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))))))
(/.f32 #s(literal 1/2 binary32) (*.f32 v (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 6931/10000 binary32)))))))
(/ 1/2 (* v (exp (- (/ 1 v) (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))))))
(/.f32 #s(literal 1/2 binary32) (*.f32 v (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 6931/10000 binary32)))))))
(/ 1/2 (* v (exp (- (/ 1 v) (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))))))
(/.f32 #s(literal 1/2 binary32) (*.f32 v (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 6931/10000 binary32)))))))
(/ 1/2 (* v (exp (- (/ 1 v) (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))))))
(/.f32 #s(literal 1/2 binary32) (*.f32 v (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 6931/10000 binary32)))))))
(/ 1/2 (* v (exp (- (/ 1 v) (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))))))
(/.f32 #s(literal 1/2 binary32) (*.f32 v (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 6931/10000 binary32)))))))
(/ 1/2 (* v (exp (- (/ 1 v) (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))))))
(/.f32 #s(literal 1/2 binary32) (*.f32 v (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 6931/10000 binary32)))))))
(/ 1/2 (* v (exp (- (/ 1 v) (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))))))
(/.f32 #s(literal 1/2 binary32) (*.f32 v (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 6931/10000 binary32))))))
(+ (* 1/2 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (exp (- (/ 1 v) (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))))))) (* 1/2 (/ 1 (* v (exp (- (/ 1 v) (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))))))))
(fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 v v) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 6931/10000 binary32)))))) (/.f32 #s(literal 1/2 binary32) (*.f32 v (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 6931/10000 binary32)))))))
(+ (* cosTheta_i (- (* -1 (* cosTheta_i (+ (* -1/2 (/ (pow cosTheta_O 2) (* (pow v 3) (exp (- (/ 1 v) (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))))))) (* 1/4 (/ (pow cosTheta_O 2) (* (pow v 3) (exp (- (/ 1 v) (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))))))))))) (* -1/2 (/ cosTheta_O (* (pow v 2) (exp (- (/ 1 v) (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))))))))) (* 1/2 (/ 1 (* v (exp (- (/ 1 v) (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))))))))
(fma.f32 cosTheta_i (fma.f32 cosTheta_i (/.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 cosTheta_O cosTheta_O)) (*.f32 (*.f32 v (*.f32 v v)) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 6931/10000 binary32)))))) (*.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_O (*.f32 (*.f32 v v) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 6931/10000 binary32)))))))) (/.f32 #s(literal 1/2 binary32) (*.f32 v (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 6931/10000 binary32)))))))
(+ (* cosTheta_i (- (* cosTheta_i (- (* -1 (* cosTheta_i (+ (* -1/12 (/ (pow cosTheta_O 3) (* (pow v 4) (exp (- (/ 1 v) (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))))))) (+ (* 1/4 (/ (pow cosTheta_O 3) (* (pow v 4) (exp (- (/ 1 v) (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))))))) (/ (* cosTheta_O (+ (* -1/2 (/ (pow cosTheta_O 2) (* (pow v 3) (exp (- (/ 1 v) (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))))))) (* 1/4 (/ (pow cosTheta_O 2) (* (pow v 3) (exp (- (/ 1 v) (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))))))))) v))))) (+ (* -1/2 (/ (pow cosTheta_O 2) (* (pow v 3) (exp (- (/ 1 v) (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))))))) (* 1/4 (/ (pow cosTheta_O 2) (* (pow v 3) (exp (- (/ 1 v) (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))))))))))) (* -1/2 (/ cosTheta_O (* (pow v 2) (exp (- (/ 1 v) (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))))))))) (* 1/2 (/ 1 (* v (exp (- (/ 1 v) (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))))))))
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(/ 1/2 (* v (exp (- (/ 1 v) (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))))))
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(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (/ 1 cosTheta_i))))
(neg.f32 (fma.f32 cosTheta_O (neg.f32 cosTheta_i) #s(literal 1 binary32)))
(* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (/ 1 cosTheta_i))))
(neg.f32 (fma.f32 cosTheta_O (neg.f32 cosTheta_i) #s(literal 1 binary32)))
(* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (/ 1 cosTheta_i))))
(neg.f32 (fma.f32 cosTheta_O (neg.f32 cosTheta_i) #s(literal 1 binary32)))
(exp (- 6931/10000 (/ 1 v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
(+ (exp (- 6931/10000 (/ 1 v))) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) v)))
(-.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (/.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) v))
(+ (exp (- 6931/10000 (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- 6931/10000 (/ 1 v)))) v)) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- 6931/10000 (/ 1 v))))) (pow v 2))))))
(fma.f32 sinTheta_O (fma.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) (*.f32 v v))) (/.f32 (*.f32 sinTheta_i (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) (neg.f32 v))) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(+ (exp (- 6931/10000 (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- 6931/10000 (/ 1 v)))) v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- 6931/10000 (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (- 6931/10000 (/ 1 v)))) (pow v 2))))))))
(fma.f32 sinTheta_O (fma.f32 (neg.f32 sinTheta_i) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) v) (*.f32 sinTheta_O (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) (*.f32 v v)) (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i))) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) (*.f32 v (*.f32 v v))))))) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O 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 (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O 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 (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O 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 (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O 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 (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O 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 (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O 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 (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O 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 (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O 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 (- 6931/10000 (/ 1 v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
(+ (exp (- 6931/10000 (/ 1 v))) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) v)))
(-.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (/.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) v))
(+ (exp (- 6931/10000 (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- 6931/10000 (/ 1 v)))) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 2))))))
(fma.f32 sinTheta_i (fma.f32 sinTheta_O (neg.f32 (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) v)) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) (*.f32 v v)))) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(+ (exp (- 6931/10000 (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- 6931/10000 (/ 1 v)))) v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (- 6931/10000 (/ 1 v)))) (pow v 2))))))))
(fma.f32 sinTheta_i (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) (*.f32 v v)) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))) (*.f32 v (*.f32 v v)))) (/.f32 (*.f32 sinTheta_O (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) (neg.f32 v))) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O 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 (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O 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 (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O 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 (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O 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 (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O 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 (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O 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 (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O 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 (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O 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 (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O 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 (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O 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 (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O 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 (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O 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 6931/10000)
(exp.f32 #s(literal 6931/10000 binary32))
(+ (exp 6931/10000) (* -1 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)))
(fma.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v)) (exp.f32 #s(literal 6931/10000 binary32)))
(+ (exp 6931/10000) (+ (* -1 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (* 1/2 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (pow v 2)))))
(fma.f32 #s(literal 1/2 binary32) (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (*.f32 v v))) (fma.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v)) (exp.f32 #s(literal 6931/10000 binary32))))
(+ (exp 6931/10000) (+ (* -1 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (+ (* -1/6 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (pow v 3))) (* 1/2 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (pow v 2))))))
(+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (fma.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))))) (*.f32 v (*.f32 v v))) (fma.f32 (neg.f32 (exp.f32 #s(literal 6931/10000 binary32))) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (*.f32 v v)))))
(exp 6931/10000)
(exp.f32 #s(literal 6931/10000 binary32))
(+ (exp 6931/10000) (* -1 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)))
(fma.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v)) (exp.f32 #s(literal 6931/10000 binary32)))
(+ (exp 6931/10000) (* -1 (/ (+ (* -1/2 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) v)) (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))) v)))
(-.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) v) (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) v))
(+ (exp 6931/10000) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) v)) (* 1/2 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) v)) (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))) v)))
(-.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 (exp.f32 #s(literal 6931/10000 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))))) v)) (neg.f32 v))) v))
(- 6931/10000 (/ 1 v))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))
(- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))
(-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))
(- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))
(-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))
(- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))
(-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v)
(* sinTheta_O (- (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(*.f32 sinTheta_O (-.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_O) (+.f32 (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) (*.f32 v sinTheta_O)))))
(* sinTheta_O (- (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(*.f32 sinTheta_O (-.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_O) (+.f32 (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) (*.f32 v sinTheta_O)))))
(* sinTheta_O (- (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(*.f32 sinTheta_O (-.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_O) (+.f32 (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) (*.f32 v sinTheta_O)))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v)
(* -1 (* sinTheta_O (- (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
(neg.f32 (*.f32 sinTheta_O (neg.f32 (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) sinTheta_O) (/.f32 sinTheta_i v)))))
(* -1 (* sinTheta_O (- (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
(neg.f32 (*.f32 sinTheta_O (neg.f32 (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) sinTheta_O) (/.f32 sinTheta_i v)))))
(* -1 (* sinTheta_O (- (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
(neg.f32 (*.f32 sinTheta_O (neg.f32 (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) sinTheta_O) (/.f32 sinTheta_i v)))))
(- 6931/10000 (/ 1 v))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))
(- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))
(-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))
(- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))
(-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))
(- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))
(-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v)
(* sinTheta_i (- (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(*.f32 sinTheta_i (-.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_i) (+.f32 (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) (*.f32 v sinTheta_i)))))
(* sinTheta_i (- (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(*.f32 sinTheta_i (-.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_i) (+.f32 (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) (*.f32 v sinTheta_i)))))
(* sinTheta_i (- (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(*.f32 sinTheta_i (-.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_i) (+.f32 (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) (*.f32 v sinTheta_i)))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v)
(* -1 (* sinTheta_i (- (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(neg.f32 (*.f32 sinTheta_i (neg.f32 (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) sinTheta_i) (/.f32 sinTheta_O v)))))
(* -1 (* sinTheta_i (- (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(neg.f32 (*.f32 sinTheta_i (neg.f32 (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) sinTheta_i) (/.f32 sinTheta_O v)))))
(* -1 (* sinTheta_i (- (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(neg.f32 (*.f32 sinTheta_i (neg.f32 (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) sinTheta_i) (/.f32 sinTheta_O v)))))
(* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))
(/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v))
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(/.f32 (fma.f32 v #s(literal 6931/10000 binary32) (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) v)
(/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/.f32 (fma.f32 v #s(literal 6931/10000 binary32) (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) v)
(/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/.f32 (fma.f32 v #s(literal 6931/10000 binary32) (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) v)
6931/10000
#s(literal 6931/10000 binary32)
(+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))
(+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))
(+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))
6931/10000
#s(literal 6931/10000 binary32)
(+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))
(+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))
(+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))
(* 2 (/ v (exp (- 6931/10000 (/ 1 v)))))
(/.f32 (*.f32 #s(literal 2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(+ (* 2 (/ v (exp (- 6931/10000 (/ 1 v))))) (* 2 (/ (* sinTheta_O sinTheta_i) (exp (- 6931/10000 (/ 1 v))))))
(*.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) (/.f32 v (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))))
(+ (* 2 (/ v (exp (- 6931/10000 (/ 1 v))))) (* sinTheta_O (+ (* -2 (* sinTheta_O (+ (* -1 (/ (pow sinTheta_i 2) (* v (exp (- 6931/10000 (/ 1 v)))))) (* 1/2 (/ (pow sinTheta_i 2) (* v (exp (- 6931/10000 (/ 1 v))))))))) (* 2 (/ sinTheta_i (exp (- 6931/10000 (/ 1 v))))))))
(fma.f32 sinTheta_O (fma.f32 (*.f32 #s(literal -2 binary32) sinTheta_O) (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 v (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))) #s(literal -1/2 binary32)) (/.f32 (*.f32 #s(literal 2 binary32) sinTheta_i) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))) (/.f32 (*.f32 #s(literal 2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))))
(+ (* 2 (/ v (exp (- 6931/10000 (/ 1 v))))) (* sinTheta_O (+ (* 2 (/ sinTheta_i (exp (- 6931/10000 (/ 1 v))))) (* sinTheta_O (+ (* -2 (* sinTheta_O (+ (* -1/6 (/ (pow sinTheta_i 3) (* (pow v 2) (exp (- 6931/10000 (/ 1 v)))))) (+ (* 1/2 (/ (pow sinTheta_i 3) (* (pow v 2) (exp (- 6931/10000 (/ 1 v)))))) (/ (* sinTheta_i (+ (* -1 (/ (pow sinTheta_i 2) (* v (exp (- 6931/10000 (/ 1 v)))))) (* 1/2 (/ (pow sinTheta_i 2) (* v (exp (- 6931/10000 (/ 1 v)))))))) v))))) (* -2 (+ (* -1 (/ (pow sinTheta_i 2) (* v (exp (- 6931/10000 (/ 1 v)))))) (* 1/2 (/ (pow sinTheta_i 2) (* v (exp (- 6931/10000 (/ 1 v)))))))))))))
(fma.f32 sinTheta_O (fma.f32 sinTheta_O (*.f32 #s(literal -2 binary32) (fma.f32 sinTheta_O (fma.f32 (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i)) (*.f32 (*.f32 v v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))) #s(literal 1/3 binary32) (/.f32 (*.f32 sinTheta_i (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 v (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))) #s(literal -1/2 binary32))) v)) (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 v (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))) #s(literal -1/2 binary32)))) (/.f32 (*.f32 #s(literal 2 binary32) sinTheta_i) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))) (/.f32 (*.f32 #s(literal 2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))))
(* 2 (/ v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
(/.f32 (*.f32 #s(literal 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)))))
(* 2 (/ v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
(/.f32 (*.f32 #s(literal 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)))))
(* 2 (/ v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
(/.f32 (*.f32 #s(literal 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)))))
(* 2 (/ v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
(/.f32 (*.f32 #s(literal 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)))))
(* 2 (/ v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
(/.f32 (*.f32 #s(literal 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)))))
(* 2 (/ v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
(/.f32 (*.f32 #s(literal 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)))))
(* 2 (/ v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
(/.f32 (*.f32 #s(literal 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)))))
(* 2 (/ v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
(/.f32 (*.f32 #s(literal 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)))))
(* 2 (/ v (exp (- 6931/10000 (/ 1 v)))))
(/.f32 (*.f32 #s(literal 2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(+ (* 2 (/ v (exp (- 6931/10000 (/ 1 v))))) (* 2 (/ (* sinTheta_O sinTheta_i) (exp (- 6931/10000 (/ 1 v))))))
(*.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) (/.f32 v (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))))
(+ (* 2 (/ v (exp (- 6931/10000 (/ 1 v))))) (* sinTheta_i (+ (* -2 (* sinTheta_i (+ (* -1 (/ (pow sinTheta_O 2) (* v (exp (- 6931/10000 (/ 1 v)))))) (* 1/2 (/ (pow sinTheta_O 2) (* v (exp (- 6931/10000 (/ 1 v))))))))) (* 2 (/ sinTheta_O (exp (- 6931/10000 (/ 1 v))))))))
(fma.f32 sinTheta_i (fma.f32 (*.f32 #s(literal -2 binary32) sinTheta_i) (*.f32 (/.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 v (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))) #s(literal -1/2 binary32)) (/.f32 (*.f32 #s(literal 2 binary32) sinTheta_O) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))) (/.f32 (*.f32 #s(literal 2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))))
(+ (* 2 (/ v (exp (- 6931/10000 (/ 1 v))))) (* sinTheta_i (+ (* 2 (/ sinTheta_O (exp (- 6931/10000 (/ 1 v))))) (* sinTheta_i (+ (* -2 (* sinTheta_i (+ (* -1/6 (/ (pow sinTheta_O 3) (* (pow v 2) (exp (- 6931/10000 (/ 1 v)))))) (+ (* 1/2 (/ (pow sinTheta_O 3) (* (pow v 2) (exp (- 6931/10000 (/ 1 v)))))) (/ (* sinTheta_O (+ (* -1 (/ (pow sinTheta_O 2) (* v (exp (- 6931/10000 (/ 1 v)))))) (* 1/2 (/ (pow sinTheta_O 2) (* v (exp (- 6931/10000 (/ 1 v)))))))) v))))) (* -2 (+ (* -1 (/ (pow sinTheta_O 2) (* v (exp (- 6931/10000 (/ 1 v)))))) (* 1/2 (/ (pow sinTheta_O 2) (* v (exp (- 6931/10000 (/ 1 v)))))))))))))
(fma.f32 sinTheta_i (fma.f32 sinTheta_i (*.f32 #s(literal -2 binary32) (fma.f32 sinTheta_i (fma.f32 (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) (*.f32 (*.f32 v v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))) #s(literal 1/3 binary32) (/.f32 (*.f32 sinTheta_O (*.f32 (/.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 v (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))) #s(literal -1/2 binary32))) v)) (*.f32 (/.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 v (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))) #s(literal -1/2 binary32)))) (/.f32 (*.f32 #s(literal 2 binary32) sinTheta_O) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))) (/.f32 (*.f32 #s(literal 2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))))
(* 2 (/ v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
(/.f32 (*.f32 #s(literal 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)))))
(* 2 (/ v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
(/.f32 (*.f32 #s(literal 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)))))
(* 2 (/ v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
(/.f32 (*.f32 #s(literal 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)))))
(* 2 (/ v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
(/.f32 (*.f32 #s(literal 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)))))
(* 2 (/ v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
(/.f32 (*.f32 #s(literal 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)))))
(* 2 (/ v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
(/.f32 (*.f32 #s(literal 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)))))
(* 2 (/ v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
(/.f32 (*.f32 #s(literal 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)))))
(* 2 (/ v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
(/.f32 (*.f32 #s(literal 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)))))
(* 2 (/ v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
(/.f32 (*.f32 #s(literal 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)))))
(* 2 (/ v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
(/.f32 (*.f32 #s(literal 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)))))
(* 2 (/ v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
(/.f32 (*.f32 #s(literal 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)))))
(* 2 (/ v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
(/.f32 (*.f32 #s(literal 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)))))
(* 2 (/ v (exp 6931/10000)))
(*.f32 #s(literal 2 binary32) (/.f32 v (exp.f32 #s(literal 6931/10000 binary32))))
(* v (+ (* 2 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* v (exp 6931/10000)))) (* 2 (/ 1 (exp 6931/10000)))))
(*.f32 v (*.f32 #s(literal 2 binary32) (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (*.f32 v (exp.f32 #s(literal 6931/10000 binary32)))) (exp.f32 #s(literal -6931/10000 binary32)))))
(* v (- (+ (* -1 (/ (+ (* -2 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (exp 6931/10000))) (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (exp 6931/10000))) (pow v 2))) (* 2 (/ 1 (exp 6931/10000)))) (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* v (exp 6931/10000))))))
(*.f32 v (+.f32 (neg.f32 (/.f32 (/.f32 (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (neg.f32 (exp.f32 #s(literal 6931/10000 binary32)))) (*.f32 v v))) (*.f32 #s(literal 2 binary32) (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (*.f32 v (exp.f32 #s(literal 6931/10000 binary32)))) (exp.f32 #s(literal -6931/10000 binary32))))))
(* v (- (+ (* -1 (/ (+ (* -1/3 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (exp 6931/10000))) (+ (* (+ 1 (* sinTheta_O sinTheta_i)) (+ (* -2 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (exp 6931/10000))) (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (exp 6931/10000)))) (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (exp 6931/10000)))) (pow v 3))) (* 2 (/ 1 (exp 6931/10000)))) (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* v (exp 6931/10000)))) (+ (* -2 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (exp 6931/10000)))) (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (exp 6931/10000)))))))
(*.f32 v (-.f32 (fma.f32 (exp.f32 #s(literal -6931/10000 binary32)) #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/3 binary32) (/.f32 (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (exp.f32 #s(literal 6931/10000 binary32))) (fma.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (neg.f32 (exp.f32 #s(literal 6931/10000 binary32)))) (/.f32 (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (exp.f32 #s(literal 6931/10000 binary32))))) (neg.f32 (*.f32 v (*.f32 v v))))) (fma.f32 #s(literal -2 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (*.f32 v (exp.f32 #s(literal 6931/10000 binary32)))) (neg.f32 (/.f32 (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (*.f32 (*.f32 v v) (exp.f32 #s(literal 6931/10000 binary32))))))))
(* 2 (/ v (exp 6931/10000)))
(*.f32 #s(literal 2 binary32) (/.f32 v (exp.f32 #s(literal 6931/10000 binary32))))
(* -1 (* v (- (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* v (exp 6931/10000)))) (* 2 (/ 1 (exp 6931/10000))))))
(*.f32 (*.f32 #s(literal -2 binary32) (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (*.f32 v (exp.f32 #s(literal 6931/10000 binary32)))) (exp.f32 #s(literal -6931/10000 binary32)))) (neg.f32 v))
(* -1 (* v (- (* -1 (/ (- (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* v (exp 6931/10000)))) (* 2 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* v (exp 6931/10000))))) (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) (exp 6931/10000)))) v)) (* 2 (/ 1 (exp 6931/10000))))))
(*.f32 (+.f32 (/.f32 (-.f32 (/.f32 (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (*.f32 v (exp.f32 #s(literal 6931/10000 binary32)))) (/.f32 (fma.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal -2 binary32) #s(literal -2 binary32)) (exp.f32 #s(literal 6931/10000 binary32)))) (neg.f32 v)) (*.f32 (exp.f32 #s(literal -6931/10000 binary32)) #s(literal -2 binary32))) (neg.f32 v))
(* -1 (* v (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ 1 (* sinTheta_O sinTheta_i)) (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (exp 6931/10000))) (* 2 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (exp 6931/10000))))) v)) (+ (* -1/3 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* v (exp 6931/10000)))) (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* v (exp 6931/10000))))) (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (exp 6931/10000))) (* 2 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (exp 6931/10000))))) v)) (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) (exp 6931/10000)))) v)) (* 2 (/ 1 (exp 6931/10000))))))
(*.f32 (neg.f32 (+.f32 (/.f32 (+.f32 (/.f32 (fma.f32 (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (/.f32 (/.f32 (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (exp.f32 #s(literal 6931/10000 binary32))) v) (fma.f32 #s(literal 2/3 binary32) (/.f32 (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (*.f32 v (exp.f32 #s(literal 6931/10000 binary32)))) (/.f32 (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (neg.f32 (exp.f32 #s(literal 6931/10000 binary32)))))) (neg.f32 v)) (*.f32 #s(literal 2 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (exp.f32 #s(literal 6931/10000 binary32))))) v) (*.f32 (exp.f32 #s(literal -6931/10000 binary32)) #s(literal 2 binary32)))) (neg.f32 v))
(* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) v)
(+ (* -1/2 (/ (* sinTheta_O (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 2))) (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)))
(fma.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) v) (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) (*.f32 v v))))
(+ (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)) (* sinTheta_O (+ (* -1/2 (/ (* sinTheta_i (exp (- 6931/10000 (/ 1 v)))) (pow v 2))) (* 1/4 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- 6931/10000 (/ 1 v))))) (pow v 3))))))
(fma.f32 sinTheta_O (fma.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_i (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (*.f32 v v))) (*.f32 #s(literal 1/4 binary32) (*.f32 sinTheta_O (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) (*.f32 v (*.f32 v v)))))) (/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) v))
(+ (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)) (* sinTheta_O (+ (* -1/2 (/ (* sinTheta_i (exp (- 6931/10000 (/ 1 v)))) (pow v 2))) (* sinTheta_O (+ (* -1/12 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- 6931/10000 (/ 1 v))))) (pow v 4))) (* 1/4 (/ (* (pow sinTheta_i 2) (exp (- 6931/10000 (/ 1 v)))) (pow v 3))))))))
(fma.f32 sinTheta_O (fma.f32 sinTheta_O (fma.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) (*.f32 v (*.f32 v v))) (*.f32 #s(literal -1/12 binary32) (/.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i))) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) (pow.f32 v #s(literal 4 binary32))))) (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_i (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (*.f32 v v))))) (/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) v))
(* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))))) v)
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(fma.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 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 (/.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))))))
(+ (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (/ 1 v))))) (* cosTheta_O (+ (* 1/4 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))))) (* (pow v 3) (exp (/ 1 v))))) (* 1/2 (/ (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (exp (/ 1 v))))))))
(fma.f32 cosTheta_O (fma.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)))) (/.f32 cosTheta_i (*.f32 v v))) (*.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i cosTheta_i)) (*.f32 v (*.f32 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 (/.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))))))
(+ (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (/ 1 v))))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (exp (/ 1 v))))) (* cosTheta_O (+ (* 1/12 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))))) (* (pow v 4) (exp (/ 1 v))))) (* 1/4 (/ (* (pow cosTheta_i 2) (exp (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 3) (exp (/ 1 v))))))))))
(fma.f32 cosTheta_O (fma.f32 cosTheta_O (fma.f32 #s(literal 1/4 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 (*.f32 cosTheta_i cosTheta_i) (*.f32 v (*.f32 v v)))) (*.f32 #s(literal 1/12 binary32) (*.f32 (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 cosTheta_i cosTheta_i))) (pow.f32 v #s(literal 4 binary32))) (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) (*.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))) (/.f32 cosTheta_i (*.f32 v 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))))))
(* 1/2 (/ (exp (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (* v (exp (/ 1 v)))))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 6931/10000 binary32))))) (*.f32 v (exp.f32 (/.f32 #s(literal 1 binary32) v))))
(* 1/2 (/ (exp (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (* v (exp (/ 1 v)))))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 6931/10000 binary32))))) (*.f32 v (exp.f32 (/.f32 #s(literal 1 binary32) v))))
(* 1/2 (/ (exp (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (* v (exp (/ 1 v)))))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 6931/10000 binary32))))) (*.f32 v (exp.f32 (/.f32 #s(literal 1 binary32) v))))
(* 1/2 (/ (exp (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (* v (exp (/ 1 v)))))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 6931/10000 binary32))))) (*.f32 v (exp.f32 (/.f32 #s(literal 1 binary32) v))))
(* 1/2 (/ (exp (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (* v (exp (/ 1 v)))))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 6931/10000 binary32))))) (*.f32 v (exp.f32 (/.f32 #s(literal 1 binary32) v))))
(* 1/2 (/ (exp (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (* v (exp (/ 1 v)))))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 6931/10000 binary32))))) (*.f32 v (exp.f32 (/.f32 #s(literal 1 binary32) v))))
(* 1/2 (/ (exp (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (* v (exp (/ 1 v)))))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 6931/10000 binary32))))) (*.f32 v (exp.f32 (/.f32 #s(literal 1 binary32) v))))
(* 1/2 (/ (exp (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (* v (exp (/ 1 v)))))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 6931/10000 binary32))))) (*.f32 v (exp.f32 (/.f32 #s(literal 1 binary32) v))))
(* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (/ 1 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)))))
(+ (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (/ 1 v))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))))) (* (pow v 2) (exp (/ 1 v))))))
(fma.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 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 (/.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))))))
(+ (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (/ 1 v))))) (* cosTheta_i (+ (* 1/4 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))))) (* (pow v 3) (exp (/ 1 v))))) (* 1/2 (/ (* cosTheta_O (exp (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (exp (/ 1 v))))))))
(fma.f32 cosTheta_i (fma.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 cosTheta_O (*.f32 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 #s(literal 1/4 binary32) (*.f32 (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_O) cosTheta_i) (*.f32 v (*.f32 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 (/.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))))))
(+ (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (/ 1 v))))) (* cosTheta_i (+ (* 1/2 (/ (* cosTheta_O (exp (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (exp (/ 1 v))))) (* cosTheta_i (+ (* 1/12 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))))) (* (pow v 4) (exp (/ 1 v))))) (* 1/4 (/ (* (pow cosTheta_O 2) (exp (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 3) (exp (/ 1 v))))))))))
(fma.f32 cosTheta_i (fma.f32 cosTheta_i (fma.f32 #s(literal 1/4 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 (*.f32 cosTheta_O cosTheta_O) (*.f32 v (*.f32 v v)))) (*.f32 #s(literal 1/12 binary32) (*.f32 (/.f32 (*.f32 (*.f32 cosTheta_O (*.f32 cosTheta_O cosTheta_O)) cosTheta_i) (pow.f32 v #s(literal 4 binary32))) (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) (*.f32 (/.f32 cosTheta_O (*.f32 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 (/.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))))))
(* 1/2 (/ (exp (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (* v (exp (/ 1 v)))))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 6931/10000 binary32))))) (*.f32 v (exp.f32 (/.f32 #s(literal 1 binary32) v))))
(* 1/2 (/ (exp (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (* v (exp (/ 1 v)))))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 6931/10000 binary32))))) (*.f32 v (exp.f32 (/.f32 #s(literal 1 binary32) v))))
(* 1/2 (/ (exp (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (* v (exp (/ 1 v)))))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 6931/10000 binary32))))) (*.f32 v (exp.f32 (/.f32 #s(literal 1 binary32) v))))
(* 1/2 (/ (exp (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (* v (exp (/ 1 v)))))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 6931/10000 binary32))))) (*.f32 v (exp.f32 (/.f32 #s(literal 1 binary32) v))))
(* 1/2 (/ (exp (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (* v (exp (/ 1 v)))))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 6931/10000 binary32))))) (*.f32 v (exp.f32 (/.f32 #s(literal 1 binary32) v))))
(* 1/2 (/ (exp (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (* v (exp (/ 1 v)))))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 6931/10000 binary32))))) (*.f32 v (exp.f32 (/.f32 #s(literal 1 binary32) v))))
(* 1/2 (/ (exp (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (* v (exp (/ 1 v)))))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 6931/10000 binary32))))) (*.f32 v (exp.f32 (/.f32 #s(literal 1 binary32) v))))
(* 1/2 (/ (exp (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (* v (exp (/ 1 v)))))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 6931/10000 binary32))))) (*.f32 v (exp.f32 (/.f32 #s(literal 1 binary32) v))))
(/ 1/2 (* v (exp (/ 1 v))))
(/.f32 #s(literal 1/2 binary32) (*.f32 v (exp.f32 (/.f32 #s(literal 1 binary32) v))))
(/ 1/2 (* v (exp (/ 1 v))))
(/.f32 #s(literal 1/2 binary32) (*.f32 v (exp.f32 (/.f32 #s(literal 1 binary32) v))))
(/ 1/2 (* v (exp (/ 1 v))))
(/.f32 #s(literal 1/2 binary32) (*.f32 v (exp.f32 (/.f32 #s(literal 1 binary32) v))))
(/ 1/2 (* v (exp (/ 1 v))))
(/.f32 #s(literal 1/2 binary32) (*.f32 v (exp.f32 (/.f32 #s(literal 1 binary32) v))))
(/ 1/2 v)
(/.f32 #s(literal 1/2 binary32) v)
(/ (- 1/2 (* 1/2 (/ 1 v))) v)
(/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/2 binary32) v)) v)
(/ (- (+ 1/2 (/ 1/4 (pow v 2))) (* 1/2 (/ 1 v))) v)
(/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 v v)) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/2 binary32) v))) v)
(/ (- (+ 1/2 (/ 1/4 (pow v 2))) (+ (* 1/2 (/ 1 v)) (* 1/12 (/ 1 (pow v 3))))) v)
(/.f32 (-.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 v v))) (+.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 #s(literal 1/12 binary32) (*.f32 v (*.f32 v v))))) v)
(/ 1/2 v)
(/.f32 #s(literal 1/2 binary32) v)
(* -1 (/ (- (* 1/2 (/ 1 v)) 1/2) v))
(/.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) v) #s(literal 1/2 binary32)) v)
(* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 v)) 1/2) v)) 1/2) v))
(/.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) v) #s(literal -1/2 binary32)) (neg.f32 v)) #s(literal -1/2 binary32)) (neg.f32 v))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/12 (/ 1 v)) 1/4) v)) 1/2) v)) 1/2) v))
(/.f32 (+.f32 (/.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/12 binary32) v) #s(literal -1/4 binary32)) (neg.f32 v)) #s(literal -1/2 binary32)) (neg.f32 v)) #s(literal -1/2 binary32)) (neg.f32 v))

eval161.0ms (1.2%)

Memory
45.7MiB live, 232.9MiB allocated
Compiler

Compiled 34 467 to 3 795 computations (89% saved)

prune180.0ms (1.3%)

Memory
-25.4MiB live, 375.4MiB allocated
Pruning

22 alts after pruning (20 fresh and 2 done)

PrunedKeptTotal
New1 31771 324
Fresh21315
Picked415
Done011
Total1 323221 345
Accuracy
99.8%
Counts
1 345 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.3%
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 1 binary32))
96.9%
(pow.f32 (E.f32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
12.9%
(/.f32 (pow.f32 (exp.f32 (+.f32 (/.f32 (*.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) (*.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)))) (*.f32 v (*.f32 v v))) (pow.f32 (neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32)))) #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v) (-.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v) (neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32))))) (pow.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) #s(literal 2 binary32))))) (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
63.3%
(/.f32 (/.f32 (exp.f32 (/.f32 (pow.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) #s(literal 2 binary32)) (-.f32 (neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v)))) (exp.f32 (/.f32 (/.f32 (*.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i))) (*.f32 v v)) (-.f32 (neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v))))) (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
99.6%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))))
99.6%
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) v)))
99.7%
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 #s(literal 1 binary32) (exp.f32 (+.f32 #s(literal -6931/10000 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i))) v)))))))
99.6%
(/.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 (log.f32 v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))))
6.2%
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_O (*.f32 cosTheta_i cosTheta_i))) v) (*.f32 cosTheta_i (neg.f32 cosTheta_O))) v))
85.8%
(*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (pow.f32 (E.f32) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32)))) (exp.f32 (-.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v) #s(literal -6931/10000 binary32))))
91.4%
(*.f32 (/.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) v) #s(literal -6931/10000 binary32))))
99.2%
(*.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 v #s(literal 2 binary32))) (pow.f32 (exp.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) v)))
99.3%
(*.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 v #s(literal 2 binary32))) (pow.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))))) (/.f32 #s(literal 1/2 binary32) v)))
99.5%
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
99.6%
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 #s(literal 1 binary32) (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))
99.5%
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 (pow.f32 (pow.f32 (exp.f32 (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32))) (exp.f32 #s(literal 6931/10000 binary32))))
97.2%
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.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))))
99.2%
(*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32)))))) (exp.f32 (/.f32 (+.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v)))
96.9%
(exp.f32 (/.f32 #s(literal -1 binary32) v))
99.5%
(exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
6.5%
#s(literal 1 binary32)
Compiler

Compiled 1 358 to 566 computations (58.3% saved)

regimes113.0ms (0.8%)

Memory
-0.3MiB live, 194.0MiB allocated
Counts
44 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 1 binary32))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_O (*.f32 cosTheta_i cosTheta_i))) v) (*.f32 cosTheta_i (neg.f32 cosTheta_O))) v))
(exp.f32 (/.f32 #s(literal -1 binary32) v))
(exp.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O))
(exp.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) v)
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(pow.f32 (E.f32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(*.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (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 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v)))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 #s(literal 1 binary32) (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 v (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))))
(/.f32 #s(literal 1 binary32) (/.f32 v (*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v)))) #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) v)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) v)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 #s(literal 1 binary32) (exp.f32 (+.f32 #s(literal -6931/10000 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i))) v)))))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) 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))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
(exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(/.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 (log.f32 v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v))) (exp.f32 #s(literal 6931/10000 binary32))))
(*.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 v #s(literal 2 binary32))) (pow.f32 (E.f32) (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v)))
(*.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 v #s(literal 2 binary32))) (exp.f32 (/.f32 (+.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v)))
(*.f32 (/.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) 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 (-.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) 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)))))
(*.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 v #s(literal 2 binary32))) (pow.f32 (exp.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) v)))
(*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32)))))) (exp.f32 (/.f32 (+.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v)))
(*.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 v #s(literal 2 binary32))) (pow.f32 (exp.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) v)))
(/.f32 (exp.f32 (+.f32 (neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v))) (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
(*.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 v #s(literal 2 binary32))) (pow.f32 (exp.f32 (+.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))))) (/.f32 #s(literal 1/2 binary32) v)))
(*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (pow.f32 (E.f32) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32)))) (exp.f32 (-.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v) #s(literal -6931/10000 binary32))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 (pow.f32 (pow.f32 (exp.f32 (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32))) (exp.f32 #s(literal 6931/10000 binary32))))
(*.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 v #s(literal 2 binary32))) (pow.f32 (pow.f32 (exp.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32)))) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32))))
(/.f32 (pow.f32 (exp.f32 (-.f32 (pow.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) #s(literal 2 binary32)) (/.f32 (*.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i))) (*.f32 v v)))) (/.f32 #s(literal 1 binary32) (-.f32 (neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v)))) (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
(/.f32 (/.f32 (exp.f32 (/.f32 (pow.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) #s(literal 2 binary32)) (-.f32 (neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v)))) (exp.f32 (/.f32 (/.f32 (*.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i))) (*.f32 v v)) (-.f32 (neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v))))) (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
(/.f32 (pow.f32 (exp.f32 (+.f32 (/.f32 (*.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) (*.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)))) (*.f32 v (*.f32 v v))) (pow.f32 (neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32)))) #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v) (-.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v) (neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32))))) (pow.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) #s(literal 2 binary32))))) (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
Outputs
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))))
Calls

9 calls:

14.0ms
sinTheta_i
14.0ms
cosTheta_i
13.0ms
(+.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))))
12.0ms
v
12.0ms
(*.f32 cosTheta_i cosTheta_O)
Results
AccuracySegmentsBranch
99.7%1cosTheta_i
99.7%1cosTheta_O
99.7%1sinTheta_i
99.7%1sinTheta_O
99.7%1v
99.7%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)))))
99.7%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))))
99.7%1(*.f32 cosTheta_i cosTheta_O)
99.7%1(*.f32 sinTheta_i sinTheta_O)
Compiler

Compiled 105 to 78 computations (25.7% saved)

regimes66.0ms (0.5%)

Memory
17.3MiB live, 93.7MiB allocated
Counts
20 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 1 binary32))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_O (*.f32 cosTheta_i cosTheta_i))) v) (*.f32 cosTheta_i (neg.f32 cosTheta_O))) v))
(exp.f32 (/.f32 #s(literal -1 binary32) v))
(exp.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O))
(exp.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) v)
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(pow.f32 (E.f32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(*.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (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 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v)))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 #s(literal 1 binary32) (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 v (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))))
(/.f32 #s(literal 1 binary32) (/.f32 v (*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v)))) #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) v)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) v)))
Outputs
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
Calls

9 calls:

17.0ms
sinTheta_i
7.0ms
(+.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))))
6.0ms
cosTheta_i
6.0ms
cosTheta_O
6.0ms
sinTheta_O
Results
AccuracySegmentsBranch
99.6%1cosTheta_i
99.6%1cosTheta_O
99.6%1sinTheta_i
99.6%1sinTheta_O
99.6%1v
99.6%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)))))
99.6%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))))
99.6%1(*.f32 cosTheta_i cosTheta_O)
99.6%1(*.f32 sinTheta_i sinTheta_O)
Compiler

Compiled 105 to 78 computations (25.7% saved)

regimes47.0ms (0.3%)

Memory
-12.4MiB live, 67.0MiB allocated
Counts
12 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 1 binary32))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_O (*.f32 cosTheta_i cosTheta_i))) v) (*.f32 cosTheta_i (neg.f32 cosTheta_O))) v))
(exp.f32 (/.f32 #s(literal -1 binary32) v))
(exp.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O))
(exp.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) v)
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(pow.f32 (E.f32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(*.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
Outputs
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
Calls

9 calls:

13.0ms
(+.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))))
5.0ms
cosTheta_O
4.0ms
sinTheta_O
4.0ms
cosTheta_i
4.0ms
sinTheta_i
Results
AccuracySegmentsBranch
97.2%1cosTheta_i
97.2%1cosTheta_O
97.2%1sinTheta_i
97.2%1sinTheta_O
97.2%1v
97.2%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)))))
97.2%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))))
97.2%1(*.f32 cosTheta_i cosTheta_O)
97.2%1(*.f32 sinTheta_i sinTheta_O)
Compiler

Compiled 105 to 78 computations (25.7% saved)

regimes36.0ms (0.3%)

Memory
-2.2MiB live, 74.4MiB allocated
Counts
11 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 1 binary32))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_O (*.f32 cosTheta_i cosTheta_i))) v) (*.f32 cosTheta_i (neg.f32 cosTheta_O))) v))
(exp.f32 (/.f32 #s(literal -1 binary32) v))
(exp.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O))
(exp.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) v)
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(pow.f32 (E.f32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(*.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))))
Outputs
(pow.f32 (E.f32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
Calls

9 calls:

5.0ms
sinTheta_O
5.0ms
sinTheta_i
4.0ms
(+.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))))
4.0ms
cosTheta_O
4.0ms
cosTheta_i
Results
AccuracySegmentsBranch
96.9%1sinTheta_i
96.9%1v
96.9%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)))))
96.9%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))))
96.9%1cosTheta_i
96.9%1sinTheta_O
96.9%1(*.f32 cosTheta_i cosTheta_O)
96.9%1(*.f32 sinTheta_i sinTheta_O)
96.9%1cosTheta_O
Compiler

Compiled 105 to 78 computations (25.7% saved)

regimes37.0ms (0.3%)

Memory
13.7MiB live, 58.6MiB allocated
Counts
9 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 1 binary32))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_O (*.f32 cosTheta_i cosTheta_i))) v) (*.f32 cosTheta_i (neg.f32 cosTheta_O))) v))
(exp.f32 (/.f32 #s(literal -1 binary32) v))
(exp.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O))
(exp.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) v)
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
Outputs
(exp.f32 (/.f32 #s(literal -1 binary32) v))
Calls

9 calls:

10.0ms
sinTheta_O
3.0ms
(+.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))))
3.0ms
sinTheta_i
3.0ms
cosTheta_i
3.0ms
cosTheta_O
Results
AccuracySegmentsBranch
96.9%1cosTheta_i
96.9%1cosTheta_O
96.9%1sinTheta_i
96.9%1sinTheta_O
96.9%1v
96.9%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)))))
96.9%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))))
96.9%1(*.f32 cosTheta_i cosTheta_O)
96.9%1(*.f32 sinTheta_i sinTheta_O)
Compiler

Compiled 105 to 78 computations (25.7% saved)

regimes17.0ms (0.1%)

Memory
4.5MiB live, 43.5MiB allocated
Accuracy

Total -0.1b remaining (-0.3%)

Threshold costs -0.1b (-0.3%)

Counts
3 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 1 binary32))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_O (*.f32 cosTheta_i cosTheta_i))) v) (*.f32 cosTheta_i (neg.f32 cosTheta_O))) v))
Outputs
#s(literal 1 binary32)
Calls

9 calls:

3.0ms
(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)))))
2.0ms
(+.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))))
2.0ms
cosTheta_i
2.0ms
cosTheta_O
2.0ms
sinTheta_O
Results
AccuracySegmentsBranch
6.5%1cosTheta_i
6.5%1cosTheta_O
6.5%1sinTheta_i
6.5%1sinTheta_O
6.5%1v
6.5%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)))))
6.5%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))))
6.5%1(*.f32 cosTheta_i cosTheta_O)
6.5%1(*.f32 sinTheta_i sinTheta_O)
Compiler

Compiled 105 to 78 computations (25.7% saved)

simplify9.0ms (0.1%)

Memory
-22.5MiB live, 16.5MiB allocated
Algorithm
egg-herbie
Rules
20×*-commutative_binary32
16×+-commutative_binary32
14×sub-neg_binary32
12×neg-sub0_binary32
12×neg-mul-1_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03255
14655
25555
36855
47755
58755
68955
Stop Event
saturated
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (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)))
(pow.f32 (E.f32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(exp.f32 (/.f32 #s(literal -1 binary32) v))
#s(literal 1 binary32)
Outputs
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v) (-.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -6931/10000 binary32)))))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (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)))
(pow.f32 (E.f32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(exp.f32 (/.f32 #s(literal -1 binary32) v))
#s(literal 1 binary32)

soundness1.3s (9.3%)

Memory
13.4MiB live, 963.5MiB allocated
Rules
10 456×lower-fma.f64
10 456×lower-fma.f32
9 370×lower-fma.f64
9 370×lower-fma.f32
8 722×lower-fma.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0107010989
1362110424
083689897
037151
066144
1257142
21957136
08286136
0107311497
1348110707
088879966
0107212975
1347612219
0901811698
02146
03440
114737
2150737
0824537
02323112
17343068
226712783
081002671
045198
081199
1311184
22313183
010662183
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 233 to 173 computations (25.8% saved)

preprocess90.0ms (0.7%)

Memory
5.3MiB live, 87.3MiB allocated
Remove

(sort sinTheta_i sinTheta_O)

(sort cosTheta_i cosTheta_O)

Compiler

Compiled 412 to 272 computations (34% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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