HairBSDF, Mp, lower

Time bar (total: 11.5s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze501.0ms (4.4%)

Memory
43.2MiB live, 412.0MiB allocated; 232ms collecting garbage
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)

sample2.5s (22.1%)

Memory
56.0MiB live, 2 535.2MiB allocated; 688ms collecting garbage
Samples
1.7s8 256×0valid
52.0ms127×0invalid
Precisions
Click to see histograms. Total time spent on operations: 1.4s
const: 374.0ms (26.6% of total)
ival-<=: 236.0ms (16.8% of total)
ival-div: 221.0ms (15.7% of total)
ival-mult: 175.0ms (12.5% of total)
ival-exp: 90.0ms (6.4% of total)
ival-log: 89.0ms (6.3% of total)
ival-sub: 73.0ms (5.2% of total)
ival-add: 69.0ms (4.9% of total)
ival-and: 55.0ms (3.9% of total)
exact: 15.0ms (1.1% of total)
adjust: 3.0ms (0.2% of total)
ival-assert: 3.0ms (0.2% of total)
Bogosity

explain231.0ms (2%)

Memory
11.1MiB live, 351.4MiB allocated; 28ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
925(2.3573745155914226e-14 8.923556116258169e-9 1.889138218156362e-19 -7.960450039655935e-35 5.724677620833063e-9)32(-1.0951339175943341e-26 1.1618722055573016e-6 2.0291990234035129e-22 4.678819541387947e-23 3.491254741622962e-17)(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
882(-1.8994313859426985e-34 -2.587182858912013e-21 3.94286599116517e-18 0.016120778396725655 4.319975488442651e-10)37(1.2262369763266287e-26 6.408117799129728e-20 -4.10098538461412e-10 -3.9255152477378877e-22 0.0006879420834593475)(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
25(8.535062817823813e-20 -2.573038702894142e-32 0.4961172342300415 -7.765122430260756e-31 0.001415208913385868)2(-2.4780550128832306e-19 8.816806459120317e-25 -0.002308088121935725 2.866950722505736e-15 0.01578008010983467)(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 sinTheta_i sinTheta_O) v)u/n90
(*.f32 sinTheta_i sinTheta_O)underflow91
/.f32(/.f32 (*.f32 cosTheta_i cosTheta_O) v)u/n60
(*.f32 cosTheta_i cosTheta_O)underflow75
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)))))sensitivity54
Confusion
Predicted +Predicted -
+03
-20233
Precision
0.0
Recall
0.0
Confusion?
Predicted +Predicted MaybePredicted -
+030
-201232
Precision?
0.125
Recall?
1.0
Freqs
test
numberfreq
0236
120
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
74.0ms512×0valid
Compiler

Compiled 295 to 67 computations (77.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 52.0ms
ival-div: 15.0ms (29% of total)
ival-mult: 11.0ms (21.3% of total)
const: 7.0ms (13.5% of total)
ival-log: 5.0ms (9.7% of total)
ival-exp: 4.0ms (7.7% of total)
ival-add: 4.0ms (7.7% of total)
ival-sub: 4.0ms (7.7% of total)
exact: 1.0ms (1.9% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess213.0ms (1.9%)

Memory
-19.9MiB live, 166.0MiB allocated; 47ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0159481
1440419
21130402
33600400
02125
03423
16420
213020
334620
4141619
0830317
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 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 (neg.f32 cosTheta_O) cosTheta_i (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))))
Symmetry

(sort cosTheta_i cosTheta_O)

(sort sinTheta_i sinTheta_O)

Compiler

Compiled 25 to 21 computations (16% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 5 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(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 25 to 21 computations (16% saved)

simplify179.0ms (1.6%)

Memory
-16.2MiB live, 179.3MiB allocated; 30ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff1
(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)))))
cost-diff2
(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))
cost-diff2
(-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
cost-diff2
(+.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))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
021133
034125
164116
2130116
3346115
41416111
08303104
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 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 (neg.f32 cosTheta_O) cosTheta_i (fma.f32 sinTheta_O sinTheta_i #s(literal 1 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 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 (neg.f32 cosTheta_O) cosTheta_i (fma.f32 sinTheta_O sinTheta_i #s(literal 1 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 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 (neg.f32 cosTheta_O) cosTheta_i (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))
(-.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_O cosTheta_i) v) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))
(-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
(/.f32 (fma.f32 (neg.f32 sinTheta_O) sinTheta_i (*.f32 cosTheta_O cosTheta_i)) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i cosTheta_O)
(*.f32 cosTheta_O cosTheta_i)
cosTheta_i
cosTheta_O
v
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_i sinTheta_O)
(*.f32 sinTheta_O sinTheta_i)
sinTheta_i
sinTheta_O
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
#s(literal 6931/10000 binary32)
(log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))
(log.f32 (/.f32 #s(literal 1/2 binary32) v))
(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))
(/.f32 #s(literal 1/2 binary32) v)
(*.f32 #s(literal 2 binary32) v)
#s(literal 2 binary32)

localize49.0ms (0.4%)

Memory
22.3MiB live, 67.5MiB allocated; 4ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.07421875
(-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
accuracy0.0859375
(+.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))))
accuracy7.016725273252631
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
accuracy7.943129201067703
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
Samples
38.0ms256×0valid
Compiler

Compiled 135 to 23 computations (83% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-div: 7.0ms (26.3% of total)
ival-exp: 5.0ms (18.8% of total)
ival-mult: 4.0ms (15% of total)
ival-log: 3.0ms (11.3% of total)
const: 3.0ms (11.3% of total)
ival-add: 2.0ms (7.5% of total)
ival-sub: 2.0ms (7.5% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series61.0ms (0.5%)

Memory
9.0MiB live, 109.0MiB allocated; 11ms collecting garbage
Counts
7 → 70
Calls
Call 1
Inputs
(+.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 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) 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))))
Outputs
(- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (/ (* 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))
(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))))
(/ (* cosTheta_O cosTheta_i) v)
(- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v)) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(* cosTheta_i (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ cosTheta_O v)))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (+ (/ cosTheta_O v) (/ (log (/ 1/2 v)) cosTheta_i))) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(+ (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))))
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v)) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(* cosTheta_O (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v)))
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (+ (/ cosTheta_i v) (/ (log (/ 1/2 v)) cosTheta_O))) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_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))))))))
(/ (* sinTheta_O sinTheta_i) v)
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))
(* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)) (/ sinTheta_O v)))
(* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ (log (/ 1/2 v)) sinTheta_i) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(* -1 (* sinTheta_i (- (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (* -1 (/ sinTheta_O v)))))
(* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O 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))))))))
(* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)) (/ sinTheta_i v)))
(* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ (log (/ 1/2 v)) sinTheta_O) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
(* -1 (* sinTheta_O (- (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (* -1 (/ sinTheta_i v)))))
(* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
(/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)
(/ 1/2 v)
(/ (- (+ (* cosTheta_O cosTheta_i) (* v (+ 6931/10000 (+ (log 1/2) (* -1 (log v)))))) (+ 1 (* sinTheta_O sinTheta_i))) v)
6931/10000
(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))))
(+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))
(- (+ 6931/10000 (+ (log 1/2) (+ (log (/ 1 v)) (/ (* cosTheta_O cosTheta_i) v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(+ 6931/10000 (* -1 (/ (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) v)))
(* -1 (/ (- (* -1 (* 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)))
(+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))
(+ 6931/10000 (+ (log -1/2) (+ (log (/ -1 v)) (* -1 (/ (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) v)))))
Calls

15 calls:

TimeVariablePointExpression
9.0ms
v
@-inf
((+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 (* 2 v)) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (/ (* sinTheta_i sinTheta_O) v) (/ (* cosTheta_i cosTheta_O) v) (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))
8.0ms
v
@0
((+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 (* 2 v)) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (/ (* sinTheta_i sinTheta_O) v) (/ (* cosTheta_i cosTheta_O) v) (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))
8.0ms
cosTheta_i
@0
((+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 (* 2 v)) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (/ (* sinTheta_i sinTheta_O) v) (/ (* cosTheta_i cosTheta_O) v) (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))
7.0ms
cosTheta_O
@0
((+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 (* 2 v)) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (/ (* sinTheta_i sinTheta_O) v) (/ (* cosTheta_i cosTheta_O) v) (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))
4.0ms
v
@inf
((+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 (* 2 v)) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (/ (* sinTheta_i sinTheta_O) v) (/ (* cosTheta_i cosTheta_O) v) (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))

simplify184.0ms (1.6%)

Memory
-0.6MiB live, 182.4MiB allocated; 50ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03521988
111901900
250481754
082491667
Stop Event
iter limit
node limit
Counts
70 → 70
Calls
Call 1
Inputs
(- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (/ (* 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))
(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))))
(/ (* cosTheta_O cosTheta_i) v)
(- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v)) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(* cosTheta_i (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ cosTheta_O v)))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (+ (/ cosTheta_O v) (/ (log (/ 1/2 v)) cosTheta_i))) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(+ (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))))
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v)) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(* cosTheta_O (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v)))
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (+ (/ cosTheta_i v) (/ (log (/ 1/2 v)) cosTheta_O))) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_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))))))))
(/ (* sinTheta_O sinTheta_i) v)
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))
(* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)) (/ sinTheta_O v)))
(* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ (log (/ 1/2 v)) sinTheta_i) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(* -1 (* sinTheta_i (- (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (* -1 (/ sinTheta_O v)))))
(* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O 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))))))))
(* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)) (/ sinTheta_i v)))
(* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ (log (/ 1/2 v)) sinTheta_O) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
(* -1 (* sinTheta_O (- (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (* -1 (/ sinTheta_i v)))))
(* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
(/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)
(/ 1/2 v)
(/ (- (+ (* cosTheta_O cosTheta_i) (* v (+ 6931/10000 (+ (log 1/2) (* -1 (log v)))))) (+ 1 (* sinTheta_O sinTheta_i))) v)
6931/10000
(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))))
(+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))
(- (+ 6931/10000 (+ (log 1/2) (+ (log (/ 1 v)) (/ (* cosTheta_O cosTheta_i) v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(+ 6931/10000 (* -1 (/ (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) v)))
(* -1 (/ (- (* -1 (* 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)))
(+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))
(+ 6931/10000 (+ (log -1/2) (+ (log (/ -1 v)) (* -1 (/ (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) v)))))
Outputs
(- 6931/10000 (+ (/ 1 v) (/ (* 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 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v))
(- (/ (* cosTheta_O cosTheta_i) v) (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_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)) 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))
(fma.f32 (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) (/.f32 cosTheta_i v)) cosTheta_O (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))
(+ (exp (- (+ 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))))
(fma.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (*.f32 (/.f32 (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) cosTheta_O (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_O) cosTheta_i)) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))) v)) v) cosTheta_i))
(+ (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))))
(fma.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O cosTheta_O)) (/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) (*.f32 v v)) (*.f32 (*.f32 (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) cosTheta_i) (pow.f32 (/.f32 cosTheta_O v) #s(literal 3 binary32))) #s(literal 1/6 binary32))) cosTheta_i (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) (/.f32 cosTheta_O v))) cosTheta_i))
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(+.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 6931/10000 binary32))
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v)) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) cosTheta_i) (/.f32 cosTheta_O v)) cosTheta_i)
(* cosTheta_i (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ cosTheta_O v)))
(*.f32 (/.f32 (fma.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i cosTheta_i) cosTheta_O) v) cosTheta_i)
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (+ (/ cosTheta_O v) (/ (log (/ 1/2 v)) cosTheta_i))) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(*.f32 (+.f32 (/.f32 (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) cosTheta_i) (/.f32 cosTheta_O v)) cosTheta_i)
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(*.f32 (neg.f32 cosTheta_i) (-.f32 (/.f32 (neg.f32 cosTheta_O) v) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) cosTheta_i)))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(*.f32 (/.f32 (fma.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i cosTheta_i) cosTheta_O) v) cosTheta_i)
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(*.f32 (neg.f32 cosTheta_i) (-.f32 (/.f32 (neg.f32 cosTheta_O) v) (/.f32 (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) cosTheta_i)))
(+ (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))))
(fma.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (*.f32 (/.f32 (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) cosTheta_i (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta_i cosTheta_i) cosTheta_O)) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))) v)) v) cosTheta_O))
(+ (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))))
(fma.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i cosTheta_i)) (/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) (*.f32 v v)) (*.f32 (*.f32 #s(literal 1/6 binary32) cosTheta_O) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) (pow.f32 (/.f32 cosTheta_i v) #s(literal 3 binary32))))) cosTheta_O (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) (/.f32 cosTheta_i v))) cosTheta_O))
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v)) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) cosTheta_O) (/.f32 cosTheta_i v)) cosTheta_O)
(* cosTheta_O (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v)))
(*.f32 (/.f32 (fma.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i cosTheta_O) cosTheta_i) v) cosTheta_O)
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (+ (/ cosTheta_i v) (/ (log (/ 1/2 v)) cosTheta_O))) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(*.f32 (+.f32 (/.f32 (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) cosTheta_O) (/.f32 cosTheta_i v)) cosTheta_O)
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
(*.f32 (neg.f32 cosTheta_O) (-.f32 (/.f32 (neg.f32 cosTheta_i) v) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) cosTheta_O)))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(*.f32 (/.f32 (fma.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i cosTheta_O) cosTheta_i) v) cosTheta_O)
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
(*.f32 (neg.f32 cosTheta_O) (-.f32 (/.f32 (neg.f32 cosTheta_i) v) (/.f32 (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) cosTheta_O)))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))
(- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) 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)))
(fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))) (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (*.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) 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))))))
(fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))) (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 (/.f32 (fma.f32 (neg.f32 (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)))) sinTheta_O (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i)) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)))) v)) v) sinTheta_i))
(+ (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))))))))
(fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))) (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 (-.f32 (*.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (/.f32 (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))) (*.f32 v v)) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))) sinTheta_i) (pow.f32 (/.f32 sinTheta_O v) #s(literal 3 binary32))) #s(literal -1/6 binary32))) sinTheta_i) (*.f32 (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))) (/.f32 sinTheta_O v))) sinTheta_i))
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(+.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)) #s(literal 6931/10000 binary32))
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))
(+.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 6931/10000 binary32))
(* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(*.f32 (-.f32 (/.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) sinTheta_i) (/.f32 sinTheta_O v)) sinTheta_i)
(* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)) (/ sinTheta_O v)))
(*.f32 (-.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) sinTheta_i) (/.f32 sinTheta_O v)) sinTheta_i)
(* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ (log (/ 1/2 v)) sinTheta_i) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(*.f32 (-.f32 (/.f32 (+.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)) #s(literal 6931/10000 binary32)) sinTheta_i) (/.f32 sinTheta_O v)) sinTheta_i)
(* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(*.f32 (neg.f32 sinTheta_i) (+.f32 (/.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (neg.f32 sinTheta_i)) (/.f32 sinTheta_O v)))
(* -1 (* sinTheta_i (- (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (* -1 (/ sinTheta_O v)))))
(*.f32 (neg.f32 sinTheta_i) (/.f32 (fma.f32 (neg.f32 cosTheta_i) (/.f32 cosTheta_O sinTheta_i) sinTheta_O) v))
(* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(*.f32 (neg.f32 sinTheta_i) (+.f32 (/.f32 (+.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)) #s(literal 6931/10000 binary32)) (neg.f32 sinTheta_i)) (/.f32 sinTheta_O 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))))))
(fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))) (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 (/.f32 (fma.f32 (neg.f32 (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)))) sinTheta_i (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O)) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)))) v)) v) sinTheta_O))
(+ (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))))))))
(fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))) (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 (-.f32 (*.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_i sinTheta_i)) (/.f32 (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))) (*.f32 v v)) (*.f32 (*.f32 #s(literal -1/6 binary32) sinTheta_O) (*.f32 (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))) (pow.f32 (/.f32 sinTheta_i v) #s(literal 3 binary32))))) sinTheta_O) (*.f32 (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))) (/.f32 sinTheta_i v))) sinTheta_O))
(* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(*.f32 (-.f32 (/.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) sinTheta_O) (/.f32 sinTheta_i v)) sinTheta_O)
(* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)) (/ sinTheta_i v)))
(*.f32 (-.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) sinTheta_O) (/.f32 sinTheta_i v)) sinTheta_O)
(* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ (log (/ 1/2 v)) sinTheta_O) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(*.f32 (-.f32 (/.f32 (+.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)) #s(literal 6931/10000 binary32)) sinTheta_O) (/.f32 sinTheta_i v)) sinTheta_O)
(* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
(*.f32 (neg.f32 sinTheta_O) (+.f32 (/.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (neg.f32 sinTheta_O)) (/.f32 sinTheta_i v)))
(* -1 (* sinTheta_O (- (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (* -1 (/ sinTheta_i v)))))
(*.f32 (neg.f32 sinTheta_O) (/.f32 (fma.f32 (neg.f32 cosTheta_i) (/.f32 cosTheta_O sinTheta_O) sinTheta_i) v))
(* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
(*.f32 (neg.f32 sinTheta_O) (+.f32 (/.f32 (+.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)) #s(literal 6931/10000 binary32)) (neg.f32 sinTheta_O)) (/.f32 sinTheta_i v)))
(/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)
(/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/.f32 (-.f32 (fma.f32 #s(literal 6931/10000 binary32) v (*.f32 cosTheta_O cosTheta_i)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)
(/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)
(/ 1/2 v)
(/.f32 #s(literal 1/2 binary32) v)
(/ (- (+ (* cosTheta_O cosTheta_i) (* v (+ 6931/10000 (+ (log 1/2) (* -1 (log v)))))) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/.f32 (-.f32 (fma.f32 (-.f32 (+.f32 (log.f32 #s(literal 1/2 binary32)) #s(literal 6931/10000 binary32)) (log.f32 v)) v (*.f32 cosTheta_O cosTheta_i)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)
6931/10000
#s(literal 6931/10000 binary32)
(exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v)))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)))
(+ (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))
(fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))))
(+ (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)))
(fma.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 (*.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (exp.f32 #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1/2 binary32) v) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (pow.f32 (fma.f32 sinTheta_O sinTheta_i (-.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i))) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)))) v)) 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))))
(fma.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)))) (pow.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) #s(literal 3 binary32)) (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 (*.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (exp.f32 #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1/2 binary32) v) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (pow.f32 (fma.f32 sinTheta_O sinTheta_i (-.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i))) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)))) v)) v)))
(+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))
(-.f32 (+.f32 (log.f32 #s(literal 1/2 binary32)) #s(literal 6931/10000 binary32)) (log.f32 v))
(- (+ 6931/10000 (+ (log 1/2) (+ (log (/ 1 v)) (/ (* cosTheta_O cosTheta_i) v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(+.f32 (+.f32 (-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 6931/10000 binary32))
(+ 6931/10000 (* -1 (/ (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) v)))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i (-.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i))) v))
(* -1 (/ (- (* -1 (* cosTheta_O cosTheta_i)) (* -1 (* sinTheta_O sinTheta_i))) v))
(/.f32 (-.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) (neg.f32 v))
(exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v)))))
(*.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal -1/2 binary32)) (/.f32 #s(literal -1 binary32) 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)))
(fma.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) v)) (exp.f32 #s(literal 6931/10000 binary32))) (/.f32 (fma.f32 sinTheta_O sinTheta_i (-.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i))) v) (*.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal -1/2 binary32)) (/.f32 #s(literal -1 binary32) 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)))
(fma.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal -1/2 binary32)) (/.f32 #s(literal -1 binary32) v) (/.f32 (fma.f32 (*.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal -1/2 binary32)) (/.f32 #s(literal -1 binary32) v)) (*.f32 (/.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i (-.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i))) #s(literal 2 binary32)) v) #s(literal -1/2 binary32)) (*.f32 (*.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal -1/2 binary32)) (/.f32 #s(literal -1 binary32) v)) (fma.f32 sinTheta_O sinTheta_i (-.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i))))) (neg.f32 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)))
(fma.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal -1/2 binary32)) (/.f32 #s(literal -1 binary32) v) (/.f32 (fma.f32 (*.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal -1/2 binary32)) (/.f32 #s(literal -1 binary32) v)) (fma.f32 sinTheta_O sinTheta_i (-.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i))) (/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (pow.f32 (fma.f32 sinTheta_O sinTheta_i (-.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i))) #s(literal 2 binary32))) (*.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal -1/2 binary32)) (/.f32 #s(literal -1 binary32) v)) (*.f32 (*.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal -1/2 binary32)) (/.f32 #s(literal -1 binary32) v)) (*.f32 (/.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i (-.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i))) #s(literal 3 binary32)) v) #s(literal -1/6 binary32)))) (neg.f32 v))) (neg.f32 v)))
(+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))
(+.f32 (+.f32 (log.f32 #s(literal -1/2 binary32)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v)))
(+ 6931/10000 (+ (log -1/2) (+ (log (/ -1 v)) (* -1 (/ (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) v)))))
(-.f32 (+.f32 (+.f32 (log.f32 #s(literal -1/2 binary32)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))) (/.f32 (fma.f32 sinTheta_O sinTheta_i (-.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i))) v))

rewrite259.0ms (2.3%)

Memory
6.3MiB live, 246.0MiB allocated; 72ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02192
03478
113771
2121371
0889668
Stop Event
iter limit
node limit
iter limit
Counts
7 → 231
Calls
Call 1
Inputs
(+.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 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) 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))))
Outputs
(/.f32 (+.f32 (pow.f32 (/.f32 (pow.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) #s(literal 3 binary32)) (+.f32 (-.f32 #s(literal 48038761/100000000 binary32) (*.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (pow.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) #s(literal 2 binary32)))) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 332956652491/1000000000000 binary32) (+.f32 (-.f32 #s(literal 48038761/100000000 binary32) (*.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (pow.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) #s(literal 2 binary32)))) #s(literal 3 binary32))) (fma.f32 (/.f32 (pow.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) #s(literal 3 binary32)) (+.f32 (-.f32 #s(literal 48038761/100000000 binary32) (*.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (pow.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) #s(literal 2 binary32)))) (/.f32 (pow.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) #s(literal 3 binary32)) (+.f32 (-.f32 #s(literal 48038761/100000000 binary32) (*.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (pow.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) #s(literal 2 binary32)))) (-.f32 (*.f32 (/.f32 #s(literal 332956652491/1000000000000 binary32) (+.f32 (-.f32 #s(literal 48038761/100000000 binary32) (*.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (pow.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) #s(literal 2 binary32)))) (/.f32 #s(literal 332956652491/1000000000000 binary32) (+.f32 (-.f32 #s(literal 48038761/100000000 binary32) (*.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (pow.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) #s(literal 2 binary32))))) (*.f32 (/.f32 (pow.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) #s(literal 3 binary32)) (+.f32 (-.f32 #s(literal 48038761/100000000 binary32) (*.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (pow.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) #s(literal 2 binary32)))) (/.f32 #s(literal 332956652491/1000000000000 binary32) (+.f32 (-.f32 #s(literal 48038761/100000000 binary32) (*.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (pow.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) #s(literal 2 binary32))))))))
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(/.f32 (neg.f32 (-.f32 #s(literal 48038761/100000000 binary32) (pow.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) #s(literal 2 binary32)))) (neg.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) #s(literal 3 binary32)) (pow.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)) #s(literal 3 binary32)))) (neg.f32 (+.f32 (pow.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) #s(literal 2 binary32)) (+.f32 (pow.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)) #s(literal 2 binary32)) (*.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))))))
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(/.f32 (-.f32 (*.f32 (/.f32 (-.f32 (*.f32 v (*.f32 cosTheta_O cosTheta_i)) (*.f32 (*.f32 sinTheta_O sinTheta_i) v)) v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))) (*.f32 v (-.f32 (pow.f32 v #s(literal -2 binary32)) #s(literal 48038761/100000000 binary32)))) (*.f32 v (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
(/.f32 (-.f32 (*.f32 (/.f32 (-.f32 (*.f32 v (*.f32 cosTheta_O cosTheta_i)) (*.f32 (*.f32 sinTheta_O sinTheta_i) v)) v) (+.f32 (pow.f32 v #s(literal -2 binary32)) (+.f32 #s(literal 48038761/100000000 binary32) (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))) (*.f32 v (-.f32 (pow.f32 v #s(literal -3 binary32)) #s(literal 332956652491/1000000000000 binary32)))) (*.f32 v (+.f32 (pow.f32 v #s(literal -2 binary32)) (+.f32 #s(literal 48038761/100000000 binary32) (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))))
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(-.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))
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(-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (-.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v)))))
(fma.f32 #s(literal -1 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))
(fma.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))
(+.f32 (/.f32 (pow.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) #s(literal 3 binary32)) (+.f32 (pow.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) #s(literal 2 binary32)) (-.f32 (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v))) #s(literal 2 binary32)) (*.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v))))))) (/.f32 (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v))) #s(literal 3 binary32)) (+.f32 (pow.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) #s(literal 2 binary32)) (-.f32 (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v))) #s(literal 2 binary32)) (*.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v))))))))
(+.f32 (/.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32)) (+.f32 (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (-.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 2 binary32)) (*.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))))) (/.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 3 binary32)) (+.f32 (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (-.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 2 binary32)) (*.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))))))
(+.f32 (/.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 3 binary32)) (+.f32 (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (-.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 2 binary32)) (*.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))))) (/.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32)) (+.f32 (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (-.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 2 binary32)) (*.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))))))
(+.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 6931/10000 binary32))
(+.f32 (/.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32)) (fma.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 2 binary32)))) (/.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 3 binary32)) (fma.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 2 binary32)))))
(+.f32 (/.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 3 binary32)) (fma.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 2 binary32)))) (/.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32)) (fma.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 2 binary32)))))
(+.f32 (/.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 2 binary32)) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) (/.f32 (log.f32 (pow.f32 (/.f32 #s(literal 1/2 binary32) v) (log.f32 (*.f32 #s(literal 2 binary32) v)))) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
(+.f32 (/.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 2 binary32)) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) (/.f32 (*.f32 (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
(+.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))
(+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))
(+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
(+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))
(+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v))))

eval72.0ms (0.6%)

Memory
-15.7MiB live, 73.6MiB allocated; 6ms collecting garbage
Compiler

Compiled 13 720 to 1 704 computations (87.6% saved)

prune9.0ms (0.1%)

Memory
24.5MiB live, 24.5MiB allocated; 0ms collecting garbage
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New2878295
Fresh000
Picked101
Done000
Total2888296
Accuracy
99.8%
Counts
296 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(/.f32 (exp.f32 (/.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 2 binary32)) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))) (exp.f32 (/.f32 (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))))
88.8%
(/.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v))))))
88.5%
(/.f32 (exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
99.8%
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (/.f32 #s(literal 1/2 binary32) v))))
52.1%
(*.f32 (exp.f32 (/.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 3 binary32)) (fma.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 2 binary32))))) (exp.f32 (/.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32)) (fma.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 2 binary32))))))
99.8%
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
99.8%
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))
4.6%
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))))
Compiler

Compiled 662 to 400 computations (39.6% saved)

simplify168.0ms (1.5%)

Memory
-20.5MiB live, 166.8MiB allocated; 30ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 3 binary32))
cost-diff0
(/.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 3 binary32)) (fma.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 2 binary32))))
cost-diff0
(exp.f32 (/.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 3 binary32)) (fma.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 2 binary32)))))
cost-diff38
(*.f32 (exp.f32 (/.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 3 binary32)) (fma.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 2 binary32))))) (exp.f32 (/.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32)) (fma.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 2 binary32))))))
cost-diff0
(log.f32 (/.f32 #s(literal 1/2 binary32) v))
cost-diff0
(+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v))
cost-diff1
(exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)))
cost-diff4
(/.f32 (exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
cost-diff0
(+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32))
cost-diff0
(-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))
cost-diff0
#s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
cost-diff0
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
cost-diff0
(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 #s(literal 6931/10000 binary32)))
cost-diff0
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))))
cost-diff0
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))
cost-diff0
(*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (/.f32 #s(literal 1/2 binary32) v))
cost-diff2
(/.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (/.f32 #s(literal 1/2 binary32) v)))
cost-diff2
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (/.f32 #s(literal 1/2 binary32) v))))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
061813
098782
1203742
2506741
31944741
08478741
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (/.f32 #s(literal 1/2 binary32) v))))
#s(literal 1 binary32)
(/.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (/.f32 #s(literal 1/2 binary32) v)))
(*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (/.f32 #s(literal 1/2 binary32) v))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))
#s(literal 6931/10000 binary32)
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)
(-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))
(*.f32 cosTheta_O cosTheta_i)
cosTheta_O
cosTheta_i
(fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))
sinTheta_O
sinTheta_i
v
(/.f32 #s(literal 1/2 binary32) v)
#s(literal 1/2 binary32)
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)))
(/.f32 #s(literal 1/2 binary32) v)
#s(literal 1/2 binary32)
v
(exp.f32 #s(literal 6931/10000 binary32))
#s(literal 6931/10000 binary32)
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
#s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
(-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))
(+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32))
(log.f32 (/.f32 #s(literal 1/2 binary32) v))
(/.f32 #s(literal 1/2 binary32) v)
#s(literal 1/2 binary32)
v
#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
#s(literal 1 binary32)
(/.f32 (exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
(exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)))
(+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v))
(log.f32 (/.f32 #s(literal 1/2 binary32) v))
(/.f32 #s(literal 1/2 binary32) v)
#s(literal 1/2 binary32)
v
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)
(-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))
(*.f32 cosTheta_O cosTheta_i)
cosTheta_O
cosTheta_i
(*.f32 sinTheta_O sinTheta_i)
sinTheta_O
sinTheta_i
(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)
(*.f32 (exp.f32 (/.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 3 binary32)) (fma.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 2 binary32))))) (exp.f32 (/.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32)) (fma.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 2 binary32))))))
(exp.f32 (/.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 3 binary32)) (fma.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 2 binary32)))))
(/.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 3 binary32)) (fma.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 2 binary32))))
(pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 3 binary32))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))
#s(literal 6931/10000 binary32)
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)
(-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))
(*.f32 cosTheta_O cosTheta_i)
cosTheta_O
cosTheta_i
(fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))
sinTheta_O
sinTheta_i
#s(literal 1 binary32)
v
#s(literal 3 binary32)
(fma.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 2 binary32)))
(log.f32 (/.f32 #s(literal 1/2 binary32) v))
(/.f32 #s(literal 1/2 binary32) v)
#s(literal 1/2 binary32)
(-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))
(pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 2 binary32))
#s(literal 2 binary32)
(exp.f32 (/.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32)) (fma.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 2 binary32)))))
(/.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32)) (fma.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 2 binary32))))
(pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32))
Outputs
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (/.f32 #s(literal 1/2 binary32) v))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))))
#s(literal 1 binary32)
(/.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (/.f32 #s(literal 1/2 binary32) v)))
(/.f32 (*.f32 #s(literal 2 binary32) v) (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))))
(*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (/.f32 #s(literal 1/2 binary32) v))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))
(+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))
#s(literal 6931/10000 binary32)
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)
(/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)
(-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))
(-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)))
(*.f32 cosTheta_O cosTheta_i)
(*.f32 cosTheta_i cosTheta_O)
cosTheta_O
cosTheta_i
(fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))
(fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))
sinTheta_O
sinTheta_i
v
(/.f32 #s(literal 1/2 binary32) v)
#s(literal 1/2 binary32)
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))))
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v) #s(literal 1/2 binary32)))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)))
(*.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v) #s(literal 1/2 binary32))
(/.f32 #s(literal 1/2 binary32) v)
#s(literal 1/2 binary32)
v
(exp.f32 #s(literal 6931/10000 binary32))
#s(literal 6931/10000 binary32)
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (+.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
#s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
#s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (+.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))
(-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))
(+.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
(+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32))
(log.f32 (/.f32 #s(literal 1/2 binary32) v))
(/.f32 #s(literal 1/2 binary32) v)
#s(literal 1/2 binary32)
v
#s(literal 6931/10000 binary32)
(/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)
(/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)
(fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))
(fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))
sinTheta_O
sinTheta_i
#s(literal 1 binary32)
(/.f32 (exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))))
(exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)))
(*.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)) (/.f32 #s(literal 1/2 binary32) v))
(+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v))
(+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
(log.f32 (/.f32 #s(literal 1/2 binary32) v))
(/.f32 #s(literal 1/2 binary32) v)
#s(literal 1/2 binary32)
v
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)
(/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)
(-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))
(-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))
(*.f32 cosTheta_O cosTheta_i)
(*.f32 cosTheta_i cosTheta_O)
cosTheta_O
cosTheta_i
(*.f32 sinTheta_O sinTheta_i)
(*.f32 sinTheta_i sinTheta_O)
sinTheta_O
sinTheta_i
(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)
(*.f32 (exp.f32 (/.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 3 binary32)) (fma.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 2 binary32))))) (exp.f32 (/.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32)) (fma.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 2 binary32))))))
(exp.f32 (/.f32 (-.f32 (pow.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 3 binary32))) (fma.f32 (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))) (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (pow.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)) #s(literal 2 binary32)))))
(exp.f32 (/.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 3 binary32)) (fma.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 2 binary32)))))
(exp.f32 (/.f32 (pow.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)) #s(literal 3 binary32)) (fma.f32 (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))) (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (pow.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)) #s(literal 2 binary32)))))
(/.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 3 binary32)) (fma.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 2 binary32))))
(/.f32 (pow.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)) #s(literal 3 binary32)) (fma.f32 (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))) (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (pow.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)) #s(literal 2 binary32))))
(pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 3 binary32))
(pow.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)) #s(literal 3 binary32))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))
(+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))
#s(literal 6931/10000 binary32)
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)
(/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)
(-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))
(-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)))
(*.f32 cosTheta_O cosTheta_i)
(*.f32 cosTheta_i cosTheta_O)
cosTheta_O
cosTheta_i
(fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))
(fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))
sinTheta_O
sinTheta_i
#s(literal 1 binary32)
v
#s(literal 3 binary32)
(fma.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 2 binary32)))
(fma.f32 (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))) (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (pow.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)) #s(literal 2 binary32)))
(log.f32 (/.f32 #s(literal 1/2 binary32) v))
(/.f32 #s(literal 1/2 binary32) v)
#s(literal 1/2 binary32)
(-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))
(-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)))
(pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 2 binary32))
(pow.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)) #s(literal 2 binary32))
#s(literal 2 binary32)
(exp.f32 (/.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32)) (fma.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 2 binary32)))))
(exp.f32 (/.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32)) (fma.f32 (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))) (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (pow.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)) #s(literal 2 binary32)))))
(/.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32)) (fma.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 2 binary32))))
(/.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32)) (fma.f32 (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))) (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (pow.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)) #s(literal 2 binary32))))
(pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32))

localize219.0ms (1.9%)

Memory
16.9MiB live, 354.1MiB allocated; 39ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.078125
(/.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32)) (fma.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 2 binary32))))
accuracy0.11328125
(pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 2 binary32))
accuracy0.14718632814753613
(pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32))
accuracy0.15138627930532605
(pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 3 binary32))
accuracy0.04296875
(-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))
accuracy0.06417379310676659
(exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))
accuracy0.2749863654405956
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)
accuracy0.3952832457338849
(exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)))
accuracy0.00390625
(log.f32 (/.f32 #s(literal 1/2 binary32) v))
accuracy0.0078125
(+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32))
accuracy0.0703125
(-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))
accuracy0.07204350707537752
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
accuracy0.0
(/.f32 #s(literal 1/2 binary32) v)
accuracy0.0
(exp.f32 #s(literal 6931/10000 binary32))
accuracy0.0859375
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)))
accuracy6.682308518871454
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))))
accuracy0.0078125
(*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (/.f32 #s(literal 1/2 binary32) v))
accuracy0.01171875
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (/.f32 #s(literal 1/2 binary32) v))))
accuracy0.0390625
(+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))
accuracy0.06858833995592416
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))
Samples
117.0ms199×0exit
53.0ms57×0valid
Compiler

Compiled 822 to 60 computations (92.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 108.0ms
ival-div: 35.0ms (32.4% of total)
ival-mult: 24.0ms (22.2% of total)
ival-exp: 13.0ms (12% of total)
ival-add: 9.0ms (8.3% of total)
ival-sub: 7.0ms (6.5% of total)
ival-pow: 7.0ms (6.5% of total)
ival-log: 5.0ms (4.6% of total)
const: 4.0ms (3.7% of total)
ival-pow2: 2.0ms (1.9% of total)
exact: 1.0ms (0.9% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series567.0ms (4.9%)

Memory
27.7MiB live, 685.0MiB allocated; 133ms collecting garbage
Counts
27 → 457
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (/.f32 #s(literal 1/2 binary32) v))))
(/.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (/.f32 #s(literal 1/2 binary32) v)))
(*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (/.f32 #s(literal 1/2 binary32) v))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)))
(/.f32 #s(literal 1/2 binary32) v)
(exp.f32 #s(literal 6931/10000 binary32))
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
#s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
(-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))
(+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32))
(/.f32 (exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
(exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)))
(+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v))
(log.f32 (/.f32 #s(literal 1/2 binary32) v))
(*.f32 (exp.f32 (/.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 3 binary32)) (fma.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 2 binary32))))) (exp.f32 (/.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32)) (fma.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 2 binary32))))))
(exp.f32 (/.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 3 binary32)) (fma.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 2 binary32)))))
(/.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 3 binary32)) (fma.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 2 binary32))))
(pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 3 binary32))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)
(exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))
(-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))
(pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32))
(pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 2 binary32))
(/.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32)) (fma.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 2 binary32))))
Outputs
(* 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 (/ (* cosTheta_O (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))))
(+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* cosTheta_i (+ (* 1/4 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))))
(+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* cosTheta_i (+ (* 1/2 (/ (* cosTheta_O (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))) (* cosTheta_i (+ (* 1/12 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 4))) (* 1/4 (/ (* (pow cosTheta_O 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 3))))))))
(* 2 (/ v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
(+ (* -2 (/ (* cosTheta_O cosTheta_i) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 2 (/ v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))
(+ (* 2 (/ v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* cosTheta_i (+ (* -2 (* cosTheta_i (+ (* -1 (/ (pow cosTheta_O 2) (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* 1/2 (/ (pow cosTheta_O 2) (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))) (* -2 (/ cosTheta_O (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))
(+ (* 2 (/ v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* cosTheta_i (+ (* -2 (/ cosTheta_O (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* cosTheta_i (+ (* -2 (* cosTheta_i (+ (* -1 (/ (* cosTheta_O (+ (* -1 (/ (pow cosTheta_O 2) (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* 1/2 (/ (pow cosTheta_O 2) (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) v)) (+ (* -1/2 (/ (pow cosTheta_O 3) (* (pow v 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* 1/6 (/ (pow cosTheta_O 3) (* (pow v 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))))) (* -2 (+ (* -1 (/ (pow cosTheta_O 2) (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* 1/2 (/ (pow cosTheta_O 2) (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))))))))
(exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(+ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (/ (* cosTheta_O (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) v))
(+ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_O (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(+ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_O (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) 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))))
(- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(/ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000)))
(+ (/ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000))) (/ (* cosTheta_O (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (* v (exp (- (/ 1 v) 6931/10000)))))
(+ (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))) (/ (* cosTheta_O (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000)))))) (/ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000))))
(+ (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 3) (exp (- (/ 1 v) 6931/10000))))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))))) (/ (* cosTheta_O (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000)))))) (/ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000))))
(exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))
(+ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (/ (* cosTheta_O (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) v))
(+ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))) (/ (* cosTheta_O (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) v))))
(+ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))))) (/ (* cosTheta_O (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) v))))
(- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))
(- (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)) (/ (* sinTheta_O sinTheta_i) v))
(* (exp (/ (pow (log (/ 1/2 v)) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (exp (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))))
(+ (* cosTheta_i (+ (* -1 (/ (* (exp (/ (pow (log (/ 1/2 v)) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (* (exp (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (* (pow (log (/ 1/2 v)) 3) (+ (* -1 (/ (* cosTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)))))) (pow (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) 2))) (* (exp (/ (pow (log (/ 1/2 v)) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (* (exp (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (- (+ (* 2 (/ (* cosTheta_O (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* v (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (/ (* cosTheta_O (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* v (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (/ (* (+ (* -1 (/ (* cosTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3)) (pow (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) 2))))))) (* (exp (/ (pow (log (/ 1/2 v)) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (exp (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))))
(+ (* cosTheta_i (+ (* -1 (/ (* (exp (/ (pow (log (/ 1/2 v)) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (* (exp (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (* (pow (log (/ 1/2 v)) 3) (+ (* -1 (/ (* cosTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)))))) (pow (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) 2))) (+ (* cosTheta_i (+ (* -1 (/ (* (exp (/ (pow (log (/ 1/2 v)) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (* (exp (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (* (pow (log (/ 1/2 v)) 3) (* (+ (* -1 (/ (* cosTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))) (- (+ (* 2 (/ (* cosTheta_O (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* v (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (/ (* cosTheta_O (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* v (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (/ (* (+ (* -1 (/ (* cosTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3)) (pow (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) 2))))))) (pow (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) 2))) (+ (* (exp (/ (pow (log (/ 1/2 v)) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (* (exp (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (+ (* -1 (+ (* -1 (/ (* (pow (log (/ 1/2 v)) 3) (pow (+ (* -1 (/ (* cosTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))) 2)) (pow (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) 3))) (/ (* (pow cosTheta_O 2) (pow (log (/ 1/2 v)) 3)) (* (pow v 2) (pow (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) 2))))) (* 1/2 (/ (* (pow (log (/ 1/2 v)) 6) (pow (+ (* -1 (/ (* cosTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))) 2)) (pow (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* 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sinTheta_i) v))) 2)) (* v (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (/ (* (+ (* -1 (/ (* cosTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3)) (pow (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) 2)))) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))) (/ (* (pow cosTheta_O 2) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3)) (* (pow v 2) (pow (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 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1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (/ (* cosTheta_O (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* v (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (/ (* (+ (* -1 (/ (* cosTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3)) (pow (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) 2)))) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))) (/ (* (pow cosTheta_O 2) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3)) (* (pow v 2) (pow (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) 2)))))) (/ (* cosTheta_O (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* v (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))))) (/ (* (+ (* -1 (/ (* cosTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3)) (pow (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) 2)))) (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))
(pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3)
(+ (* cosTheta_i (+ (* 2 (/ (* cosTheta_O (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) v)) (/ (* cosTheta_O (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) v))) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3))
(+ (* cosTheta_i (+ (* 2 (/ (* cosTheta_O (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) v)) (+ (* cosTheta_i (+ (* 2 (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))) (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2)))) (/ (* cosTheta_O (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) v)))) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3))
(+ (* cosTheta_i (+ (* 2 (/ (* cosTheta_O (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) v)) (+ (* cosTheta_i (+ (* 2 (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))) (+ (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2)) (/ (* (pow cosTheta_O 3) cosTheta_i) (pow v 3))))) (/ (* cosTheta_O (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) v)))) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3))
(- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)
(+ (* 2 (/ (* cosTheta_O (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))
(+ (* cosTheta_i (+ (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (/ (* (pow cosTheta_O 2) cosTheta_i) (pow v 2)))) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))
(/ (pow (log (/ 1/2 v)) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))
(+ (* -1 (/ (* cosTheta_i (* (pow (log (/ 1/2 v)) 3) (+ (* -1 (/ (* cosTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))))) (pow (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) 2))) (/ (pow (log (/ 1/2 v)) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))
(+ (* cosTheta_i (- (* -1 (* cosTheta_i (+ (* -1 (/ (* (pow (log (/ 1/2 v)) 3) (pow (+ (* -1 (/ (* cosTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))) 2)) (pow (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) 3))) (/ (* (pow cosTheta_O 2) (pow (log (/ 1/2 v)) 3)) (* (pow v 2) (pow (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) 2)))))) (/ (* (pow (log (/ 1/2 v)) 3) (+ (* -1 (/ (* cosTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)))) (pow (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) 2)))) (/ (pow (log (/ 1/2 v)) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))
(+ (* cosTheta_i (- (* cosTheta_i (- (* -1 (* cosTheta_i (+ (* -1 (/ (* (+ (* -1 (/ (* cosTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))) (+ (* -1 (/ (* (pow (log (/ 1/2 v)) 3) (pow (+ (* -1 (/ (* cosTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))) 2)) (pow (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) 3))) (/ (* (pow cosTheta_O 2) (pow (log (/ 1/2 v)) 3)) (* (pow v 2) (pow (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) 2))))) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (* -1 (/ (* (pow cosTheta_O 2) (* (pow (log (/ 1/2 v)) 3) (+ (* -1 (/ (* cosTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))))) (* (pow v 2) (pow (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) 3))))))) (+ (* -1 (/ (* (pow (log (/ 1/2 v)) 3) (pow (+ (* -1 (/ (* cosTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))) 2)) (pow (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) 3))) (/ (* (pow cosTheta_O 2) (pow (log (/ 1/2 v)) 3)) (* (pow v 2) (pow (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) 2)))))) (/ (* (pow (log (/ 1/2 v)) 3) (+ (* -1 (/ (* cosTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)))) (pow (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) 2)))) (/ (pow (log (/ 1/2 v)) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))
(* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))
(* 2 (/ v (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
(exp (- (+ 6931/10000 (/ (* 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))))
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (+ (/ cosTheta_O v) (/ (log (/ 1/2 v)) cosTheta_i))) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(/ (exp (- (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000)))
(exp (- (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)) (/ (* sinTheta_O sinTheta_i) v)))
(* cosTheta_i (- (+ (/ cosTheta_O v) (/ (log (/ 1/2 v)) cosTheta_i)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))))
(exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))
(+ (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (/ (* (pow v 2) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (pow (log (/ 1/2 v)) 3))) (* (pow cosTheta_O 2) (pow cosTheta_i 2))))
(+ (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (+ (* -1 (/ (* (pow v 4) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (* (pow (log (/ 1/2 v)) 3) (+ (* -1 (/ (* cosTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)))))) (* (pow cosTheta_O 4) (pow cosTheta_i 3)))) (/ (* (pow v 2) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (pow (log (/ 1/2 v)) 3))) (* (pow cosTheta_O 2) (pow cosTheta_i 2)))))
(+ (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (+ (* -1 (/ (* (pow v 4) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (* (pow (log (/ 1/2 v)) 3) (+ (* -1 (/ (* cosTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)))))) (* (pow cosTheta_O 4) (pow cosTheta_i 3)))) (+ (/ (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (+ (* -1 (+ (* -1 (/ (* (pow v 6) (* (pow (log (/ 1/2 v)) 3) (pow (+ (* -1 (/ (* cosTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))) 2))) (pow cosTheta_O 6))) (/ (* (pow v 4) (* (pow (log (/ 1/2 v)) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (pow cosTheta_O 4)))) (* 1/2 (/ (* (pow v 4) (pow (log (/ 1/2 v)) 6)) (pow cosTheta_O 4))))) (pow cosTheta_i 4)) (/ (* (pow v 2) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (pow (log (/ 1/2 v)) 3))) (* (pow cosTheta_O 2) (pow cosTheta_i 2))))))
(* cosTheta_i (- (+ (/ cosTheta_O v) (/ (* (pow v 2) (+ (* 2 (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))) (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2)))) (* (pow cosTheta_O 2) cosTheta_i))) (/ (* v (+ (* -1 (/ (* cosTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)))) (* cosTheta_O cosTheta_i))))
(* cosTheta_i (- (+ (/ cosTheta_O v) (+ (/ (* (pow v 2) (+ (* 2 (/ (* cosTheta_O (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) v)) (/ (* cosTheta_O (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) v))) (* (pow cosTheta_O 2) (pow cosTheta_i 2))) (/ (* (pow v 2) (+ (* 2 (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))) (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2)))) (* (pow cosTheta_O 2) cosTheta_i)))) (+ (/ (* v (+ (* -1 (/ (* cosTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)))) (* cosTheta_O cosTheta_i)) (+ (/ (* v (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))) (* cosTheta_O (pow cosTheta_i 2))) (/ (* (pow v 2) (* (+ (* -1 (/ (* cosTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))) (- (/ (* (pow v 2) (+ (* 2 (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))) (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2)))) (pow cosTheta_O 2)) (/ (* v (+ (* -1 (/ (* cosTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)))) cosTheta_O)))) (* (pow cosTheta_O 2) (pow cosTheta_i 2)))))))
(* cosTheta_i (- (+ (/ cosTheta_O v) (+ (/ (* (pow v 2) (+ (* 2 (/ (* cosTheta_O (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) v)) (/ (* cosTheta_O (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) v))) (* (pow cosTheta_O 2) (pow cosTheta_i 2))) (+ (/ (* (pow v 2) (+ (* 2 (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))) (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2)))) (* (pow cosTheta_O 2) cosTheta_i)) (/ (* (pow v 2) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3)) (* (pow cosTheta_O 2) (pow cosTheta_i 3)))))) (+ (/ (* v (+ (* -1 (/ (* cosTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)))) (* cosTheta_O cosTheta_i)) (+ (/ (* v (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))) (* cosTheta_O (pow cosTheta_i 2))) (+ (/ (* (pow v 2) (* (+ (* -1 (/ (* cosTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))) (- (/ (* (pow v 2) (+ (* 2 (/ (* cosTheta_O (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) v)) (/ (* cosTheta_O (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) v))) (pow cosTheta_O 2)) (+ (/ (* v (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))) cosTheta_O) (/ (* (pow v 2) (* (+ (* -1 (/ (* cosTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))) (- (/ (* (pow v 2) (+ (* 2 (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))) (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2)))) (pow cosTheta_O 2)) (/ (* v (+ (* -1 (/ (* cosTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)))) cosTheta_O)))) (pow cosTheta_O 2)))))) (* (pow cosTheta_O 2) (pow cosTheta_i 3))) (+ (/ (* (pow v 2) (* (+ (* -1 (/ (* cosTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))) (- (/ (* (pow v 2) (+ (* 2 (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))) (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2)))) (pow cosTheta_O 2)) (/ (* v (+ (* -1 (/ (* cosTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)))) cosTheta_O)))) (* (pow cosTheta_O 2) (pow cosTheta_i 2))) (/ (* (pow v 2) (* (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (- (/ (* (pow v 2) (+ (* 2 (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))) (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2)))) (pow cosTheta_O 2)) (/ (* v (+ (* -1 (/ (* cosTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)))) cosTheta_O)))) (* (pow cosTheta_O 2) (pow cosTheta_i 3)))))))))
(/ (* (pow cosTheta_O 3) (pow cosTheta_i 3)) (pow v 3))
(* (pow cosTheta_i 3) (+ (* 2 (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (pow v 2)))) (+ (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (pow v 2))) (/ (pow cosTheta_O 3) (pow v 3)))))
(* (pow cosTheta_i 3) (+ (* 2 (/ (* cosTheta_O (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* (pow cosTheta_i 2) v))) (+ (* 2 (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (pow v 2)))) (+ (/ (* cosTheta_O (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* (pow cosTheta_i 2) v)) (+ (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (pow v 2))) (/ (pow cosTheta_O 3) (pow v 3)))))))
(* (pow cosTheta_i 3) (+ (* 2 (/ (* cosTheta_O (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* (pow cosTheta_i 2) v))) (+ (* 2 (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (pow v 2)))) (+ (/ (* cosTheta_O (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* (pow cosTheta_i 2) v)) (+ (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (pow v 2))) (+ (/ (pow cosTheta_O 3) (pow v 3)) (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (pow cosTheta_i 3))))))))
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v)) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(* cosTheta_i (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ cosTheta_O v)))
(/ (* (pow cosTheta_O 2) (pow cosTheta_i 2)) (pow v 2))
(* (pow cosTheta_i 2) (+ (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i v))) (/ (pow cosTheta_O 2) (pow v 2))))
(* (pow cosTheta_i 2) (+ (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i v))) (+ (/ (pow cosTheta_O 2) (pow v 2)) (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (pow cosTheta_i 2)))))
(/ (* (pow v 2) (pow (log (/ 1/2 v)) 3)) (* (pow cosTheta_O 2) (pow cosTheta_i 2)))
(/ (+ (* -1 (/ (* (pow v 4) (* (pow (log (/ 1/2 v)) 3) (+ (* -1 (/ (* cosTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))))) (* (pow cosTheta_O 4) cosTheta_i))) (/ (* (pow v 2) (pow (log (/ 1/2 v)) 3)) (pow cosTheta_O 2))) (pow cosTheta_i 2))
(/ (- (+ (* -1 (/ (+ (* -1 (/ (* (pow v 6) (* (pow (log (/ 1/2 v)) 3) (pow (+ (* -1 (/ (* cosTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))) 2))) (pow cosTheta_O 6))) (/ (* (pow v 4) (* (pow (log (/ 1/2 v)) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (pow cosTheta_O 4))) (pow cosTheta_i 2))) (/ (* (pow v 2) (pow (log (/ 1/2 v)) 3)) (pow cosTheta_O 2))) (/ (* (pow v 4) (* (pow (log (/ 1/2 v)) 3) (+ (* -1 (/ (* cosTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))))) (* (pow cosTheta_O 4) cosTheta_i))) (pow cosTheta_i 2))
(/ (- (+ (* -1 (/ (+ (* -1 (/ (* (pow v 2) (* (+ (* -1 (/ (* cosTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))) (+ (* -1 (/ (* (pow v 6) (* (pow (log (/ 1/2 v)) 3) (pow (+ (* -1 (/ (* cosTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))) 2))) (pow cosTheta_O 6))) (/ (* (pow v 4) (* (pow (log (/ 1/2 v)) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (pow cosTheta_O 4))))) (pow cosTheta_O 2))) (* -1 (/ (* (pow v 6) (* (pow (log (/ 1/2 v)) 3) (* (+ (* -1 (/ (* cosTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (pow cosTheta_O 6)))) (pow cosTheta_i 3))) (/ (* (pow v 2) (pow (log (/ 1/2 v)) 3)) (pow cosTheta_O 2))) (+ (* -1 (/ (* (pow v 6) (* (pow (log (/ 1/2 v)) 3) (pow (+ (* -1 (/ (* cosTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))) 2))) (* (pow cosTheta_O 6) (pow cosTheta_i 2)))) (+ (/ (* (pow v 4) (* (pow (log (/ 1/2 v)) 3) (+ (* -1 (/ (* cosTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))))) (* (pow cosTheta_O 4) cosTheta_i)) (/ (* (pow v 4) (* (pow (log (/ 1/2 v)) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (* (pow cosTheta_O 4) (pow cosTheta_i 2)))))) (pow cosTheta_i 2))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)) cosTheta_i)))))
(+ (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (+ (/ (* (pow v 2) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (pow (log (/ 1/2 v)) 3))) (* (pow cosTheta_O 2) (pow cosTheta_i 2))) (/ (* (pow v 4) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (* (pow (log (/ 1/2 v)) 3) (+ (* -2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (/ (* cosTheta_O (log (/ 1/2 v))) v))))) (* (pow cosTheta_O 4) (pow cosTheta_i 3)))))
(+ (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (+ (* -1 (/ (+ (* -1 (/ (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (+ (* -1 (+ (* -1 (/ (* (pow v 6) (* (pow (log (/ 1/2 v)) 3) (pow (+ (* -2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (/ (* cosTheta_O (log (/ 1/2 v))) v)) 2))) (pow cosTheta_O 6))) (/ (* (pow v 4) (* (pow (log (/ 1/2 v)) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (pow cosTheta_O 4)))) (* 1/2 (/ (* (pow v 4) (pow (log (/ 1/2 v)) 6)) (pow cosTheta_O 4))))) cosTheta_i)) (* -1 (/ (* (pow v 4) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (* (pow (log (/ 1/2 v)) 3) (+ (* -2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (/ (* cosTheta_O (log (/ 1/2 v))) v))))) (pow cosTheta_O 4)))) (pow cosTheta_i 3))) (/ (* (pow v 2) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (pow (log (/ 1/2 v)) 3))) (* (pow cosTheta_O 2) (pow cosTheta_i 2)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (/ (* (pow v 2) (+ (* 2 (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))) (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2)))) (pow cosTheta_O 2)) (* -1 (/ (* v (+ (* -2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (/ (* cosTheta_O (log (/ 1/2 v))) v))) cosTheta_O))) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ (* -1 (/ (- (/ (* (pow v 2) (+ (* -2 (/ (* cosTheta_O (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) v)) (* -1 (/ (* cosTheta_O (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) v)))) (pow cosTheta_O 2)) (+ (* -1 (/ (* v (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))) cosTheta_O)) (/ (* (pow v 2) (* (+ (* -2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (/ (* cosTheta_O (log (/ 1/2 v))) v)) (- (/ (* (pow v 2) (+ (* 2 (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))) (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2)))) (pow cosTheta_O 2)) (* -1 (/ (* v (+ (* -2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (/ (* cosTheta_O (log (/ 1/2 v))) v))) cosTheta_O))))) (pow cosTheta_O 2)))) cosTheta_i)) (/ (* (pow v 2) (+ (* 2 (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))) (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2)))) (pow cosTheta_O 2))) (* -1 (/ (* v (+ (* -2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (/ (* cosTheta_O (log (/ 1/2 v))) v))) cosTheta_O))) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (/ (* (pow v 2) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3)) (pow cosTheta_O 2)) (+ (/ (* (pow v 2) (* (+ (* -2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (/ (* cosTheta_O (log (/ 1/2 v))) v)) (- (/ (* (pow v 2) (+ (* -2 (/ (* cosTheta_O (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) v)) (* -1 (/ (* cosTheta_O (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) v)))) (pow cosTheta_O 2)) (+ (* -1 (/ (* v (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))) cosTheta_O)) (/ (* (pow v 2) (* (+ (* -2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (/ (* cosTheta_O (log (/ 1/2 v))) v)) (- (/ (* (pow v 2) (+ (* 2 (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))) (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2)))) (pow cosTheta_O 2)) (* -1 (/ (* v (+ (* -2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (/ (* cosTheta_O (log (/ 1/2 v))) v))) cosTheta_O))))) (pow cosTheta_O 2)))))) (pow cosTheta_O 2)) (/ (* (pow v 2) (* (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (- (/ (* (pow v 2) (+ (* 2 (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))) (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2)))) (pow cosTheta_O 2)) (* -1 (/ (* v (+ (* -2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (/ (* cosTheta_O (log (/ 1/2 v))) v))) cosTheta_O))))) (pow cosTheta_O 2)))) cosTheta_i)) (/ (* (pow v 2) (+ (* -2 (/ (* cosTheta_O (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) v)) (* -1 (/ (* cosTheta_O (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) v)))) (pow cosTheta_O 2))) (+ (* -1 (/ (* v (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))) cosTheta_O)) (/ (* (pow v 2) (* (+ (* -2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (/ (* cosTheta_O (log (/ 1/2 v))) v)) (- (/ (* (pow v 2) (+ (* 2 (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))) (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2)))) (pow cosTheta_O 2)) (* -1 (/ (* v (+ (* -2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (/ (* cosTheta_O (log (/ 1/2 v))) v))) cosTheta_O))))) (pow cosTheta_O 2)))) cosTheta_i)) (/ (* (pow v 2) (+ (* 2 (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))) (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2)))) (pow cosTheta_O 2))) (* -1 (/ (* v (+ (* -2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (/ (* cosTheta_O (log (/ 1/2 v))) v))) cosTheta_O))) cosTheta_i)))))
(* -1 (* (pow cosTheta_i 3) (+ (* -1 (/ (+ (* 2 (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))) (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))) cosTheta_i)) (* -1 (/ (pow cosTheta_O 3) (pow v 3))))))
(* -1 (* (pow cosTheta_i 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* cosTheta_O (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) v)) (* -1 (/ (* cosTheta_O (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) v))) cosTheta_i)) (+ (* 2 (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))) (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2)))) cosTheta_i)) (* -1 (/ (pow cosTheta_O 3) (pow v 3))))))
(* -1 (* (pow cosTheta_i 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* cosTheta_O (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) v)) (+ (* -1 (/ (* cosTheta_O (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) v)) (* -1 (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) cosTheta_i)))) cosTheta_i)) (+ (* 2 (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))) (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2)))) cosTheta_i)) (* -1 (/ (pow cosTheta_O 3) (pow v 3))))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(* (pow cosTheta_i 2) (+ (* -1 (/ (+ (* -2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* -1 (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) cosTheta_i))) cosTheta_i)) (/ (pow cosTheta_O 2) (pow v 2))))
(/ (+ (/ (* (pow v 2) (pow (log (/ 1/2 v)) 3)) (pow cosTheta_O 2)) (/ (* (pow v 4) (* (pow (log (/ 1/2 v)) 3) (+ (* -2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (/ (* cosTheta_O (log (/ 1/2 v))) v)))) (* (pow cosTheta_O 4) cosTheta_i))) (pow cosTheta_i 2))
(/ (+ (* -1 (/ (- (+ (* -1 (/ (* (pow v 6) (* (pow (log (/ 1/2 v)) 3) (pow (+ (* -2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (/ (* cosTheta_O (log (/ 1/2 v))) v)) 2))) (* (pow cosTheta_O 6) cosTheta_i))) (/ (* (pow v 4) (* (pow (log (/ 1/2 v)) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (* (pow cosTheta_O 4) cosTheta_i))) (/ (* (pow v 4) (* (pow (log (/ 1/2 v)) 3) (+ (* -2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (/ (* cosTheta_O (log (/ 1/2 v))) v)))) (pow cosTheta_O 4))) cosTheta_i)) (/ (* (pow v 2) (pow (log (/ 1/2 v)) 3)) (pow cosTheta_O 2))) (pow cosTheta_i 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (pow v 2) (* (+ (* -2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (/ (* cosTheta_O (log (/ 1/2 v))) v)) (+ (* -1 (/ (* (pow v 6) (* (pow (log (/ 1/2 v)) 3) (pow (+ (* -2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (/ (* cosTheta_O (log (/ 1/2 v))) v)) 2))) (pow cosTheta_O 6))) (/ (* (pow v 4) (* (pow (log (/ 1/2 v)) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (pow cosTheta_O 4))))) (* (pow cosTheta_O 2) cosTheta_i))) (* -1 (/ (* (pow v 6) (* (pow (log (/ 1/2 v)) 3) (* (+ (* -2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (/ (* cosTheta_O (log (/ 1/2 v))) v)) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (* (pow cosTheta_O 6) cosTheta_i)))) (+ (* -1 (/ (* (pow v 6) (* (pow (log (/ 1/2 v)) 3) (pow (+ (* -2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (/ (* cosTheta_O (log (/ 1/2 v))) v)) 2))) (pow cosTheta_O 6))) (/ (* (pow v 4) (* (pow (log (/ 1/2 v)) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (pow cosTheta_O 4)))) cosTheta_i)) (/ (* (pow v 4) (* (pow (log (/ 1/2 v)) 3) (+ (* -2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (/ (* cosTheta_O (log (/ 1/2 v))) v)))) (pow cosTheta_O 4))) cosTheta_i)) (/ (* (pow v 2) (pow (log (/ 1/2 v)) 3)) (pow cosTheta_O 2))) (pow cosTheta_i 2))
(+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* cosTheta_O (+ (* 1/4 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))))
(+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))) (* cosTheta_O (+ (* 1/12 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 4))) (* 1/4 (/ (* (pow cosTheta_i 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 3))))))))
(+ (* 2 (/ v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* cosTheta_O (+ (* -2 (* cosTheta_O (+ (* -1 (/ (pow cosTheta_i 2) (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* 1/2 (/ (pow cosTheta_i 2) (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))) (* -2 (/ cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))
(+ (* 2 (/ v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* cosTheta_O (+ (* -2 (/ cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* cosTheta_O (+ (* -2 (* cosTheta_O (+ (* -1 (/ (* cosTheta_i (+ (* -1 (/ (pow cosTheta_i 2) (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* 1/2 (/ (pow cosTheta_i 2) (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) v)) (+ (* -1/2 (/ (pow cosTheta_i 3) (* (pow v 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* 1/6 (/ (pow cosTheta_i 3) (* (pow v 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))))) (* -2 (+ (* -1 (/ (pow cosTheta_i 2) (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* 1/2 (/ (pow cosTheta_i 2) (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))))))))
(+ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(+ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_i (exp (- 6931/10000 (+ (/ 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))))
(+ (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))) (/ (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000)))))) (/ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000))))
(+ (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 3) (exp (- (/ 1 v) 6931/10000))))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))))) (/ (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000)))))) (/ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000))))
(+ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))) (/ (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) v))))
(+ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))))) (/ (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) v))))
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(+ (* -1 (/ (* cosTheta_O (* (pow (log (/ 1/2 v)) 3) (+ (* -1 (/ (* cosTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))))) (pow (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) 2))) (/ (pow (log (/ 1/2 v)) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))
(+ (* cosTheta_O (- (* -1 (* cosTheta_O (+ (* -1 (/ (* (pow (log (/ 1/2 v)) 3) (pow (+ (* -1 (/ (* cosTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))) 2)) (pow (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) 3))) (/ (* (pow cosTheta_i 2) (pow (log (/ 1/2 v)) 3)) (* (pow v 2) (pow (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) 2)))))) (/ (* (pow (log (/ 1/2 v)) 3) (+ (* -1 (/ (* cosTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)))) (pow (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) 2)))) (/ (pow (log (/ 1/2 v)) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))
(+ (* cosTheta_O (- (* cosTheta_O (- (* -1 (* cosTheta_O (+ (* -1 (/ (* (+ (* -1 (/ (* cosTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))) (+ (* -1 (/ (* (pow (log (/ 1/2 v)) 3) (pow (+ (* -1 (/ (* cosTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))) 2)) (pow (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) 3))) (/ (* (pow cosTheta_i 2) (pow (log (/ 1/2 v)) 3)) (* (pow v 2) (pow (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) 2))))) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (* -1 (/ (* (pow cosTheta_i 2) (* (pow (log (/ 1/2 v)) 3) (+ (* -1 (/ (* cosTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))))) (* (pow v 2) (pow (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) 3))))))) (+ (* -1 (/ (* (pow (log (/ 1/2 v)) 3) (pow (+ (* -1 (/ (* cosTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))) 2)) (pow (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) 3))) (/ (* (pow cosTheta_i 2) (pow (log (/ 1/2 v)) 3)) (* (pow v 2) (pow (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) 2)))))) (/ (* (pow (log (/ 1/2 v)) 3) (+ (* -1 (/ (* cosTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)))) (pow (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) 2)))) (/ (pow (log (/ 1/2 v)) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (+ (/ cosTheta_i v) (/ (log (/ 1/2 v)) cosTheta_O))) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(* cosTheta_O (- (+ (/ cosTheta_i v) (/ (log (/ 1/2 v)) cosTheta_O)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))))
(+ (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (+ (* -1 (/ (* (pow v 4) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (* (pow (log (/ 1/2 v)) 3) (+ (* -1 (/ (* cosTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)))))) (* (pow cosTheta_O 3) (pow cosTheta_i 4)))) (/ (* (pow v 2) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (pow (log (/ 1/2 v)) 3))) (* (pow cosTheta_O 2) (pow cosTheta_i 2)))))
(+ (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (+ (* -1 (/ (* (pow v 4) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (* (pow (log (/ 1/2 v)) 3) (+ (* -1 (/ (* cosTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)))))) (* (pow cosTheta_O 3) (pow cosTheta_i 4)))) (+ (/ (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (+ (* -1 (+ (* -1 (/ (* (pow v 6) (* (pow (log (/ 1/2 v)) 3) (pow (+ (* -1 (/ (* cosTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))) 2))) (pow cosTheta_i 6))) (/ (* (pow v 4) (* (pow (log (/ 1/2 v)) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (pow cosTheta_i 4)))) (* 1/2 (/ (* (pow v 4) (pow (log (/ 1/2 v)) 6)) (pow cosTheta_i 4))))) (pow cosTheta_O 4)) (/ (* (pow v 2) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (pow (log (/ 1/2 v)) 3))) (* (pow cosTheta_O 2) (pow cosTheta_i 2))))))
(* cosTheta_O (- (+ (/ cosTheta_i v) (/ (* (pow v 2) (+ (* 2 (/ (* (pow cosTheta_i 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))) (/ (* (pow cosTheta_i 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2)))) (* cosTheta_O (pow cosTheta_i 2)))) (/ (* v (+ (* -1 (/ (* cosTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)))) (* cosTheta_O cosTheta_i))))
(* cosTheta_O (- (+ (/ cosTheta_i v) (+ (/ (* (pow v 2) (+ (* 2 (/ (* cosTheta_i (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) v)) (/ (* cosTheta_i (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) v))) (* (pow cosTheta_O 2) (pow cosTheta_i 2))) (/ (* (pow v 2) (+ (* 2 (/ (* (pow cosTheta_i 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))) (/ (* (pow cosTheta_i 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2)))) (* cosTheta_O (pow cosTheta_i 2))))) (+ (/ (* v (+ (* -1 (/ (* cosTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)))) (* cosTheta_O cosTheta_i)) (+ (/ (* v (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))) (* (pow cosTheta_O 2) cosTheta_i)) (/ (* (pow v 2) (* (+ (* -1 (/ (* cosTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))) (- (/ (* (pow v 2) (+ (* 2 (/ (* (pow cosTheta_i 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))) (/ (* (pow cosTheta_i 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2)))) (pow cosTheta_i 2)) (/ (* v (+ (* -1 (/ (* cosTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)))) cosTheta_i)))) (* (pow cosTheta_O 2) (pow cosTheta_i 2)))))))
(* cosTheta_O (- (+ (/ cosTheta_i v) (+ (/ (* (pow v 2) (+ (* 2 (/ (* cosTheta_i (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) v)) (/ (* cosTheta_i (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) v))) (* (pow cosTheta_O 2) (pow cosTheta_i 2))) (+ (/ (* (pow v 2) (+ (* 2 (/ (* (pow cosTheta_i 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))) (/ (* (pow cosTheta_i 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2)))) (* cosTheta_O (pow cosTheta_i 2))) (/ (* (pow v 2) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3)) (* (pow cosTheta_O 3) (pow cosTheta_i 2)))))) (+ (/ (* v (+ (* -1 (/ (* cosTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)))) (* cosTheta_O cosTheta_i)) (+ (/ (* v (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))) (* (pow cosTheta_O 2) cosTheta_i)) (+ (/ (* (pow v 2) (* (+ (* -1 (/ (* cosTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))) (- (/ (* (pow v 2) (+ (* 2 (/ (* cosTheta_i (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) v)) (/ (* cosTheta_i (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) v))) (pow cosTheta_i 2)) (+ (/ (* v (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))) cosTheta_i) (/ (* (pow v 2) (* (+ (* -1 (/ (* cosTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))) (- (/ (* (pow v 2) (+ (* 2 (/ (* (pow cosTheta_i 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))) (/ (* (pow cosTheta_i 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2)))) (pow cosTheta_i 2)) (/ (* v (+ (* -1 (/ (* cosTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)))) cosTheta_i)))) (pow cosTheta_i 2)))))) (* (pow cosTheta_O 3) (pow cosTheta_i 2))) (+ (/ (* (pow v 2) (* (+ (* -1 (/ (* cosTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))) (- (/ (* (pow v 2) (+ (* 2 (/ (* (pow cosTheta_i 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))) (/ (* (pow cosTheta_i 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2)))) (pow cosTheta_i 2)) (/ (* v (+ (* -1 (/ (* cosTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)))) cosTheta_i)))) (* (pow cosTheta_O 2) (pow cosTheta_i 2))) (/ (* (pow v 2) (* (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (- (/ (* (pow v 2) (+ (* 2 (/ (* (pow cosTheta_i 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))) (/ (* (pow cosTheta_i 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2)))) (pow cosTheta_i 2)) (/ (* v (+ (* -1 (/ (* cosTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)))) cosTheta_i)))) (* (pow cosTheta_O 3) (pow cosTheta_i 2)))))))))
(* (pow cosTheta_O 3) (+ (* 2 (/ (* (pow cosTheta_i 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (pow v 2)))) (+ (/ (* (pow cosTheta_i 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (pow v 2))) (/ (pow cosTheta_i 3) (pow v 3)))))
(* (pow cosTheta_O 3) (+ (* 2 (/ (* cosTheta_i (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* (pow cosTheta_O 2) v))) (+ (* 2 (/ (* (pow cosTheta_i 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (pow v 2)))) (+ (/ (* cosTheta_i (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* (pow cosTheta_O 2) v)) (+ (/ (* (pow cosTheta_i 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (pow v 2))) (/ (pow cosTheta_i 3) (pow v 3)))))))
(* (pow cosTheta_O 3) (+ (* 2 (/ (* cosTheta_i (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* (pow cosTheta_O 2) v))) (+ (* 2 (/ (* (pow cosTheta_i 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (pow v 2)))) (+ (/ (* cosTheta_i (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* (pow cosTheta_O 2) v)) (+ (/ (* (pow cosTheta_i 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (pow v 2))) (+ (/ (pow cosTheta_i 3) (pow v 3)) (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (pow cosTheta_O 3))))))))
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v)) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(* cosTheta_O (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v)))
(* (pow cosTheta_O 2) (+ (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O v))) (/ (pow cosTheta_i 2) (pow v 2))))
(* (pow cosTheta_O 2) (+ (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O v))) (+ (/ (pow cosTheta_i 2) (pow v 2)) (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (pow cosTheta_O 2)))))
(/ (+ (* -1 (/ (* (pow v 4) (* (pow (log (/ 1/2 v)) 3) (+ (* -1 (/ (* cosTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))))) (* cosTheta_O (pow cosTheta_i 4)))) (/ (* (pow v 2) (pow (log (/ 1/2 v)) 3)) (pow cosTheta_i 2))) (pow cosTheta_O 2))
(/ (- (+ (* -1 (/ (+ (* -1 (/ (* (pow v 6) (* (pow (log (/ 1/2 v)) 3) (pow (+ (* -1 (/ (* cosTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))) 2))) (pow cosTheta_i 6))) (/ (* (pow v 4) (* (pow (log (/ 1/2 v)) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (pow cosTheta_i 4))) (pow cosTheta_O 2))) (/ (* (pow v 2) (pow (log (/ 1/2 v)) 3)) (pow cosTheta_i 2))) (/ (* (pow v 4) (* (pow (log (/ 1/2 v)) 3) (+ (* -1 (/ (* cosTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))))) (* cosTheta_O (pow cosTheta_i 4)))) (pow cosTheta_O 2))
(/ (- (+ (* -1 (/ (+ (* -1 (/ (* (pow v 2) (* (+ (* -1 (/ (* cosTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))) (+ (* -1 (/ (* (pow v 6) (* (pow (log (/ 1/2 v)) 3) (pow (+ (* -1 (/ (* cosTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))) 2))) (pow cosTheta_i 6))) (/ (* (pow v 4) (* (pow (log (/ 1/2 v)) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (pow cosTheta_i 4))))) (pow cosTheta_i 2))) (* -1 (/ (* (pow v 6) (* (pow (log (/ 1/2 v)) 3) (* (+ (* -1 (/ (* cosTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (pow cosTheta_i 6)))) (pow cosTheta_O 3))) (/ (* (pow v 2) (pow (log (/ 1/2 v)) 3)) (pow cosTheta_i 2))) (+ (* -1 (/ (* (pow v 6) (* (pow (log (/ 1/2 v)) 3) (pow (+ (* -1 (/ (* cosTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))) 2))) (* (pow cosTheta_O 2) (pow cosTheta_i 6)))) (+ (/ (* (pow v 4) (* (pow (log (/ 1/2 v)) 3) (+ (* -1 (/ (* cosTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))))) (* cosTheta_O (pow cosTheta_i 4))) (/ (* (pow v 4) (* (pow (log (/ 1/2 v)) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (* (pow cosTheta_O 2) (pow cosTheta_i 4)))))) (pow cosTheta_O 2))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)) cosTheta_O)))))
(+ (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (+ (/ (* (pow v 2) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (pow (log (/ 1/2 v)) 3))) (* (pow cosTheta_O 2) (pow cosTheta_i 2))) (/ (* (pow v 4) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (* (pow (log (/ 1/2 v)) 3) (+ (* -2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (/ (* cosTheta_i (log (/ 1/2 v))) v))))) (* (pow cosTheta_O 3) (pow cosTheta_i 4)))))
(+ (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (+ (* -1 (/ (+ (* -1 (/ (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (+ (* -1 (+ (* -1 (/ (* (pow v 6) (* (pow (log (/ 1/2 v)) 3) (pow (+ (* -2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (/ (* cosTheta_i (log (/ 1/2 v))) v)) 2))) (pow cosTheta_i 6))) (/ (* (pow v 4) (* (pow (log (/ 1/2 v)) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (pow cosTheta_i 4)))) (* 1/2 (/ (* (pow v 4) (pow (log (/ 1/2 v)) 6)) (pow cosTheta_i 4))))) cosTheta_O)) (* -1 (/ (* (pow v 4) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (* (pow (log (/ 1/2 v)) 3) (+ (* -2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (/ (* cosTheta_i (log (/ 1/2 v))) v))))) (pow cosTheta_i 4)))) (pow cosTheta_O 3))) (/ (* (pow v 2) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (pow (log (/ 1/2 v)) 3))) (* (pow cosTheta_O 2) (pow cosTheta_i 2)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (/ (* (pow v 2) (+ (* 2 (/ (* (pow cosTheta_i 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))) (/ (* (pow cosTheta_i 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2)))) (pow cosTheta_i 2)) (* -1 (/ (* v (+ (* -2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (/ (* cosTheta_i (log (/ 1/2 v))) v))) cosTheta_i))) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ (* -1 (/ (- (/ (* (pow v 2) (+ (* -2 (/ (* cosTheta_i (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) v)) (* -1 (/ (* cosTheta_i (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) v)))) (pow cosTheta_i 2)) (+ (* -1 (/ (* v (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))) cosTheta_i)) (/ (* (pow v 2) (* (+ (* -2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (/ (* cosTheta_i (log (/ 1/2 v))) v)) (- (/ (* (pow v 2) (+ (* 2 (/ (* (pow cosTheta_i 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))) (/ (* (pow cosTheta_i 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2)))) (pow cosTheta_i 2)) (* -1 (/ (* v (+ (* -2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (/ (* cosTheta_i (log (/ 1/2 v))) v))) cosTheta_i))))) (pow cosTheta_i 2)))) cosTheta_O)) (/ (* (pow v 2) (+ (* 2 (/ (* (pow cosTheta_i 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))) (/ (* (pow cosTheta_i 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2)))) (pow cosTheta_i 2))) (* -1 (/ (* v (+ (* -2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (/ (* cosTheta_i (log (/ 1/2 v))) v))) cosTheta_i))) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (/ (* (pow v 2) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3)) (pow cosTheta_i 2)) (+ (/ (* (pow v 2) (* (+ (* -2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (/ (* cosTheta_i (log (/ 1/2 v))) v)) (- (/ (* (pow v 2) (+ (* -2 (/ (* cosTheta_i (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) v)) (* -1 (/ (* cosTheta_i (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) v)))) (pow cosTheta_i 2)) (+ (* -1 (/ (* v (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))) cosTheta_i)) (/ (* (pow v 2) (* (+ (* -2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (/ (* cosTheta_i (log (/ 1/2 v))) v)) (- (/ (* (pow v 2) (+ (* 2 (/ (* (pow cosTheta_i 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))) (/ (* (pow cosTheta_i 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2)))) (pow cosTheta_i 2)) (* -1 (/ (* v (+ (* -2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (/ (* cosTheta_i (log (/ 1/2 v))) v))) cosTheta_i))))) (pow cosTheta_i 2)))))) (pow cosTheta_i 2)) (/ (* (pow v 2) (* (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (- (/ (* (pow v 2) (+ (* 2 (/ (* (pow cosTheta_i 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))) (/ (* (pow cosTheta_i 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2)))) (pow cosTheta_i 2)) (* -1 (/ (* v (+ (* -2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (/ (* cosTheta_i (log (/ 1/2 v))) v))) cosTheta_i))))) (pow cosTheta_i 2)))) cosTheta_O)) (/ (* (pow v 2) (+ (* -2 (/ (* cosTheta_i (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) v)) (* -1 (/ (* cosTheta_i (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) v)))) (pow cosTheta_i 2))) (+ (* -1 (/ (* v (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))) cosTheta_i)) (/ (* (pow v 2) (* (+ (* -2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (/ (* cosTheta_i (log (/ 1/2 v))) v)) (- (/ (* (pow v 2) (+ (* 2 (/ (* (pow cosTheta_i 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))) (/ (* (pow cosTheta_i 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2)))) (pow cosTheta_i 2)) (* -1 (/ (* v (+ (* -2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (/ (* cosTheta_i (log (/ 1/2 v))) v))) cosTheta_i))))) (pow cosTheta_i 2)))) cosTheta_O)) (/ (* (pow v 2) (+ (* 2 (/ (* (pow cosTheta_i 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))) (/ (* (pow cosTheta_i 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2)))) (pow cosTheta_i 2))) (* -1 (/ (* v (+ (* -2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (/ (* cosTheta_i (log (/ 1/2 v))) v))) cosTheta_i))) cosTheta_O)))))
(* -1 (* (pow cosTheta_O 3) (+ (* -1 (/ (+ (* 2 (/ (* (pow cosTheta_i 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))) (/ (* (pow cosTheta_i 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))) cosTheta_O)) (* -1 (/ (pow cosTheta_i 3) (pow v 3))))))
(* -1 (* (pow cosTheta_O 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* cosTheta_i (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) v)) (* -1 (/ (* cosTheta_i (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) v))) cosTheta_O)) (+ (* 2 (/ (* (pow cosTheta_i 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))) (/ (* (pow cosTheta_i 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2)))) cosTheta_O)) (* -1 (/ (pow cosTheta_i 3) (pow v 3))))))
(* -1 (* (pow cosTheta_O 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* cosTheta_i (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) v)) (+ (* -1 (/ (* cosTheta_i (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) v)) (* -1 (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) cosTheta_O)))) cosTheta_O)) (+ (* 2 (/ (* (pow cosTheta_i 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))) (/ (* (pow cosTheta_i 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2)))) cosTheta_O)) (* -1 (/ (pow cosTheta_i 3) (pow v 3))))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(* (pow cosTheta_O 2) (+ (* -1 (/ (+ (* -2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* -1 (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) cosTheta_O))) cosTheta_O)) (/ (pow cosTheta_i 2) (pow v 2))))
(/ (+ (/ (* (pow v 2) (pow (log (/ 1/2 v)) 3)) (pow cosTheta_i 2)) (/ (* (pow v 4) (* (pow (log (/ 1/2 v)) 3) (+ (* -2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (/ (* cosTheta_i (log (/ 1/2 v))) v)))) (* cosTheta_O (pow cosTheta_i 4)))) (pow cosTheta_O 2))
(/ (+ (* -1 (/ (- (+ (* -1 (/ (* (pow v 6) (* (pow (log (/ 1/2 v)) 3) (pow (+ (* -2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (/ (* cosTheta_i (log (/ 1/2 v))) v)) 2))) (* cosTheta_O (pow cosTheta_i 6)))) (/ (* (pow v 4) (* (pow (log (/ 1/2 v)) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (* cosTheta_O (pow cosTheta_i 4)))) (/ (* (pow v 4) (* (pow (log (/ 1/2 v)) 3) (+ (* -2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (/ (* cosTheta_i (log (/ 1/2 v))) v)))) (pow cosTheta_i 4))) cosTheta_O)) (/ (* (pow v 2) (pow (log (/ 1/2 v)) 3)) (pow cosTheta_i 2))) (pow cosTheta_O 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (pow v 2) (* (+ (* -2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (/ (* cosTheta_i (log (/ 1/2 v))) v)) (+ (* -1 (/ (* (pow v 6) (* (pow (log (/ 1/2 v)) 3) (pow (+ (* -2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (/ (* cosTheta_i (log (/ 1/2 v))) v)) 2))) (pow cosTheta_i 6))) (/ (* (pow v 4) (* (pow (log (/ 1/2 v)) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (pow cosTheta_i 4))))) (* cosTheta_O (pow cosTheta_i 2)))) (* -1 (/ (* (pow v 6) (* (pow (log (/ 1/2 v)) 3) (* (+ (* -2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (/ (* cosTheta_i (log (/ 1/2 v))) v)) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (* cosTheta_O (pow cosTheta_i 6))))) (+ (* -1 (/ (* (pow v 6) (* (pow (log (/ 1/2 v)) 3) (pow (+ (* -2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (/ (* cosTheta_i (log (/ 1/2 v))) v)) 2))) (pow cosTheta_i 6))) (/ (* (pow v 4) (* (pow (log (/ 1/2 v)) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (pow cosTheta_i 4)))) cosTheta_O)) (/ (* (pow v 4) (* (pow (log (/ 1/2 v)) 3) (+ (* -2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (/ (* cosTheta_i (log (/ 1/2 v))) v)))) (pow cosTheta_i 4))) cosTheta_O)) (/ (* (pow v 2) (pow (log (/ 1/2 v)) 3)) (pow cosTheta_i 2))) (pow cosTheta_O 2))
(* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v))
(+ (* -1/2 (/ (* sinTheta_O (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (pow v 2))) (* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)))
(+ (* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (* sinTheta_i (+ (* -1/2 (/ (* sinTheta_O (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) (pow v 2))) (* 1/4 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (pow v 3))))))
(+ (* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (* sinTheta_i (+ (* -1/2 (/ (* sinTheta_O (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) (pow v 2))) (* sinTheta_i (+ (* -1/12 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (pow v 4))) (* 1/4 (/ (* (pow sinTheta_O 2) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) (pow v 3))))))))
(* 2 (/ v (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))))
(+ (* 2 (/ v (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (* 2 (/ (* sinTheta_O sinTheta_i) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))))
(+ (* 2 (/ v (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (* sinTheta_i (+ (* -2 (* sinTheta_i (+ (* -1 (/ (pow sinTheta_O 2) (* v (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))))) (* 1/2 (/ (pow sinTheta_O 2) (* v (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))))))) (* 2 (/ sinTheta_O (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))))))
(+ (* 2 (/ v (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (* sinTheta_i (+ (* 2 (/ sinTheta_O (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (* sinTheta_i (+ (* -2 (* sinTheta_i (+ (* -1/6 (/ (pow sinTheta_O 3) (* (pow v 2) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))))) (+ (* 1/2 (/ (pow sinTheta_O 3) (* (pow v 2) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))))) (/ (* sinTheta_O (+ (* -1 (/ (pow sinTheta_O 2) (* v (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))))) (* 1/2 (/ (pow sinTheta_O 2) (* v (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))))))) v))))) (* -2 (+ (* -1 (/ (pow sinTheta_O 2) (* v (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))))) (* 1/2 (/ (pow sinTheta_O 2) (* v (exp (- (+ 6931/10000 (/ (* 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 (+ (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))))))))
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))
(- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))
(/ (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (exp (- (/ 1 v) 6931/10000)))
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(+ (* sinTheta_i (+ (* -2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2))
(/ (pow (log (/ 1/2 v)) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)))
(+ (* -1 (/ (* sinTheta_i (* (pow (log (/ 1/2 v)) 3) (+ (* -2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_O (log (/ 1/2 v))) v)))) (pow (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) 2))) (/ (pow (log (/ 1/2 v)) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2))))
(+ (* sinTheta_i (- (* -1 (* sinTheta_i (+ (* -1 (/ (* (pow (log (/ 1/2 v)) 3) (pow (+ (* -2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_O (log (/ 1/2 v))) v)) 2)) (pow (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) 3))) (/ (* (pow sinTheta_O 2) (pow (log (/ 1/2 v)) 3)) (* (pow v 2) (pow (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) 2)))))) (/ (* (pow (log (/ 1/2 v)) 3) (+ (* -2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_O (log (/ 1/2 v))) v))) (pow (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) 2)))) (/ (pow (log (/ 1/2 v)) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2))))
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(* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ (log (/ 1/2 v)) sinTheta_i) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (log (/ 1/2 v)) sinTheta_i)) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(* sinTheta_i (- (+ (/ (log (/ 1/2 v)) sinTheta_i) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ sinTheta_O v)))
(+ (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (/ (* (pow v 2) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (pow (log (/ 1/2 v)) 3))) (* (pow sinTheta_O 2) (pow sinTheta_i 2))))
(+ (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (+ (* -1 (/ (* (pow v 4) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (* (pow (log (/ 1/2 v)) 3) (+ (* -2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_O (log (/ 1/2 v))) v))))) (* (pow sinTheta_O 4) (pow sinTheta_i 3)))) (/ (* (pow v 2) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (pow (log (/ 1/2 v)) 3))) (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))
(+ (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (+ (* -1 (/ (* (pow v 4) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (* (pow (log (/ 1/2 v)) 3) (+ (* -2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_O (log (/ 1/2 v))) v))))) (* (pow sinTheta_O 4) (pow sinTheta_i 3)))) (+ (/ (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (+ (* -1 (+ (* -1 (/ (* (pow v 6) (* (pow (log (/ 1/2 v)) 3) (pow (+ (* -2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_O (log (/ 1/2 v))) v)) 2))) (pow sinTheta_O 6))) (/ (* (pow v 4) (* (pow (log (/ 1/2 v)) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)))) (pow sinTheta_O 4)))) (* 1/2 (/ (* (pow v 4) (pow (log (/ 1/2 v)) 6)) (pow sinTheta_O 4))))) (pow sinTheta_i 4)) (/ (* (pow v 2) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (pow (log (/ 1/2 v)) 3))) (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))
(* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (/ (* (pow v 2) (+ (* 2 (/ (* (pow sinTheta_O 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2))) (/ (* (pow sinTheta_O 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2)))) (* (pow sinTheta_O 2) sinTheta_i))) (* -1 (/ (* v (+ (* -2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_O (log (/ 1/2 v))) v))) (* sinTheta_O sinTheta_i)))))
(* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (+ (/ (* (pow v 2) (+ (* -2 (/ (* sinTheta_O (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) v)) (* -1 (/ (* sinTheta_O (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) v)))) (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (/ (* (pow v 2) (+ (* 2 (/ (* (pow sinTheta_O 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2))) (/ (* (pow sinTheta_O 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2)))) (* (pow sinTheta_O 2) sinTheta_i)))) (+ (* -1 (/ (* v (+ (* -2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_O (log (/ 1/2 v))) v))) (* sinTheta_O sinTheta_i))) (+ (* -1 (/ (* v (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2))) (* sinTheta_O (pow sinTheta_i 2)))) (/ (* (pow v 2) (* (+ (* -2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_O (log (/ 1/2 v))) v)) (- (/ (* (pow v 2) (+ (* 2 (/ (* (pow sinTheta_O 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2))) (/ (* (pow sinTheta_O 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2)))) (pow sinTheta_O 2)) (* -1 (/ (* v (+ (* -2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_O (log (/ 1/2 v))) v))) sinTheta_O))))) (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))
(* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (+ (/ (* (pow v 2) (+ (* -2 (/ (* sinTheta_O (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) v)) (* -1 (/ (* sinTheta_O (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) v)))) (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (+ (/ (* (pow v 2) (+ (* 2 (/ (* (pow sinTheta_O 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2))) (/ (* (pow sinTheta_O 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2)))) (* (pow sinTheta_O 2) sinTheta_i)) (/ (* (pow v 2) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 3)) (* (pow sinTheta_O 2) (pow sinTheta_i 3)))))) (+ (* -1 (/ (* v (+ (* -2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_O (log (/ 1/2 v))) v))) (* sinTheta_O sinTheta_i))) (+ (* -1 (/ (* v (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2))) (* sinTheta_O (pow sinTheta_i 2)))) (+ (/ (* (pow v 2) (* (+ (* -2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_O (log (/ 1/2 v))) v)) (- (/ (* (pow v 2) (+ (* -2 (/ (* sinTheta_O (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) v)) (* -1 (/ (* sinTheta_O (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) v)))) (pow sinTheta_O 2)) (+ (* -1 (/ (* v (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2))) sinTheta_O)) (/ (* (pow v 2) (* (+ (* -2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_O (log (/ 1/2 v))) v)) (- (/ (* (pow v 2) (+ (* 2 (/ (* (pow sinTheta_O 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2))) (/ (* (pow sinTheta_O 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2)))) (pow sinTheta_O 2)) (* -1 (/ (* v (+ (* -2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_O (log (/ 1/2 v))) v))) sinTheta_O))))) (pow sinTheta_O 2)))))) (* (pow sinTheta_O 2) (pow sinTheta_i 3))) (+ (/ (* (pow v 2) (* (+ (* -2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_O (log (/ 1/2 v))) v)) (- (/ (* (pow v 2) (+ (* 2 (/ (* (pow sinTheta_O 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2))) (/ (* (pow sinTheta_O 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2)))) (pow sinTheta_O 2)) (* -1 (/ (* v (+ (* -2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_O (log (/ 1/2 v))) v))) sinTheta_O))))) (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (/ (* (pow v 2) (* (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (- (/ (* (pow v 2) (+ (* 2 (/ (* (pow sinTheta_O 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2))) (/ (* (pow sinTheta_O 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2)))) (pow sinTheta_O 2)) (* -1 (/ (* v (+ (* -2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_O (log (/ 1/2 v))) v))) sinTheta_O))))) (* (pow sinTheta_O 2) (pow sinTheta_i 3)))))))))
(* -1 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (pow v 3)))
(* (pow sinTheta_i 3) (+ (* -1 (/ (pow sinTheta_O 3) (pow v 3))) (+ (* 2 (/ (* (pow sinTheta_O 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_i (pow v 2)))) (/ (* (pow sinTheta_O 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_i (pow v 2))))))
(* (pow sinTheta_i 3) (+ (* -2 (/ (* sinTheta_O (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* (pow sinTheta_i 2) v))) (+ (* -1 (/ (* sinTheta_O (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* (pow sinTheta_i 2) v))) (+ (* -1 (/ (pow sinTheta_O 3) (pow v 3))) (+ (* 2 (/ (* (pow sinTheta_O 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_i (pow v 2)))) (/ (* (pow sinTheta_O 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_i (pow v 2))))))))
(* (pow sinTheta_i 3) (+ (* -2 (/ (* sinTheta_O (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* (pow sinTheta_i 2) v))) (+ (* -1 (/ (* sinTheta_O (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* (pow sinTheta_i 2) v))) (+ (* -1 (/ (pow sinTheta_O 3) (pow v 3))) (+ (* 2 (/ (* (pow sinTheta_O 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_i (pow v 2)))) (+ (/ (* (pow sinTheta_O 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_i (pow v 2))) (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 3) (pow sinTheta_i 3))))))))
(* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))
(/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))
(* (pow sinTheta_i 2) (+ (* -2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_i v))) (/ (pow sinTheta_O 2) (pow v 2))))
(* (pow sinTheta_i 2) (+ (* -2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_i v))) (+ (/ (pow sinTheta_O 2) (pow v 2)) (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2) (pow sinTheta_i 2)))))
(/ (* (pow v 2) (pow (log (/ 1/2 v)) 3)) (* (pow sinTheta_O 2) (pow sinTheta_i 2)))
(/ (+ (* -1 (/ (* (pow v 4) (* (pow (log (/ 1/2 v)) 3) (+ (* -2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_O (log (/ 1/2 v))) v)))) (* (pow sinTheta_O 4) sinTheta_i))) (/ (* (pow v 2) (pow (log (/ 1/2 v)) 3)) (pow sinTheta_O 2))) (pow sinTheta_i 2))
(/ (- (+ (* -1 (/ (+ (* -1 (/ (* (pow v 6) (* (pow (log (/ 1/2 v)) 3) (pow (+ (* -2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_O (log (/ 1/2 v))) v)) 2))) (pow sinTheta_O 6))) (/ (* (pow v 4) (* (pow (log (/ 1/2 v)) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)))) (pow sinTheta_O 4))) (pow sinTheta_i 2))) (/ (* (pow v 2) (pow (log (/ 1/2 v)) 3)) (pow sinTheta_O 2))) (/ (* (pow v 4) (* (pow (log (/ 1/2 v)) 3) (+ (* -2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_O (log (/ 1/2 v))) v)))) (* (pow sinTheta_O 4) sinTheta_i))) (pow sinTheta_i 2))
(/ (- (+ (* -1 (/ (+ (* -1 (/ (* (pow v 2) (* (+ (* -2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_O (log (/ 1/2 v))) v)) (+ (* -1 (/ (* (pow v 6) (* (pow (log (/ 1/2 v)) 3) (pow (+ (* -2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_O (log (/ 1/2 v))) v)) 2))) (pow sinTheta_O 6))) (/ (* (pow v 4) (* (pow (log (/ 1/2 v)) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)))) (pow sinTheta_O 4))))) (pow sinTheta_O 2))) (* -1 (/ (* (pow v 6) (* (pow (log (/ 1/2 v)) 3) (* (+ (* -2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_O (log (/ 1/2 v))) v)) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2))))) (pow sinTheta_O 6)))) (pow sinTheta_i 3))) (/ (* (pow v 2) (pow (log (/ 1/2 v)) 3)) (pow sinTheta_O 2))) (+ (* -1 (/ (* (pow v 6) (* (pow (log (/ 1/2 v)) 3) (pow (+ (* -2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_O (log (/ 1/2 v))) v)) 2))) (* (pow sinTheta_O 6) (pow sinTheta_i 2)))) (+ (/ (* (pow v 4) (* (pow (log (/ 1/2 v)) 3) (+ (* -2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_O (log (/ 1/2 v))) v)))) (* (pow sinTheta_O 4) sinTheta_i)) (/ (* (pow v 4) (* (pow (log (/ 1/2 v)) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)))) (* (pow sinTheta_O 4) (pow sinTheta_i 2)))))) (pow sinTheta_i 2))
(* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(* -1 (* sinTheta_i (- (* -1 (/ (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(+ (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (+ (/ (* (pow v 2) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (pow (log (/ 1/2 v)) 3))) (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (/ (* (pow v 4) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (* (pow (log (/ 1/2 v)) 3) (+ (* -1 (/ (* sinTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)))))) (* (pow sinTheta_O 4) (pow sinTheta_i 3)))))
(+ (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (+ (* -1 (/ (+ (* -1 (/ (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (+ (* -1 (+ (* -1 (/ (* (pow v 6) (* (pow (log (/ 1/2 v)) 3) (pow (+ (* -1 (/ (* sinTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v))) 2))) (pow sinTheta_O 6))) (/ (* (pow v 4) (* (pow (log (/ 1/2 v)) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)))) (pow sinTheta_O 4)))) (* 1/2 (/ (* (pow v 4) (pow (log (/ 1/2 v)) 6)) (pow sinTheta_O 4))))) sinTheta_i)) (* -1 (/ (* (pow v 4) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (* (pow (log (/ 1/2 v)) 3) (+ (* -1 (/ (* sinTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)))))) (pow sinTheta_O 4)))) (pow sinTheta_i 3))) (/ (* (pow v 2) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (pow (log (/ 1/2 v)) 3))) (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))
(* -1 (* sinTheta_i (+ (* -1 (/ (- (/ (* (pow v 2) (+ (* 2 (/ (* (pow sinTheta_O 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2))) (/ (* (pow sinTheta_O 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2)))) (pow sinTheta_O 2)) (/ (* v (+ (* -1 (/ (* sinTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)))) sinTheta_O)) sinTheta_i)) (/ sinTheta_O v))))
(* -1 (* sinTheta_i (+ (* -1 (/ (- (+ (* -1 (/ (- (/ (* (pow v 2) (+ (* 2 (/ (* sinTheta_O (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) v)) (/ (* sinTheta_O (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) v))) (pow sinTheta_O 2)) (+ (/ (* v (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2))) sinTheta_O) (/ (* (pow v 2) (* (+ (* -1 (/ (* sinTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v))) (- (/ (* (pow v 2) (+ (* 2 (/ (* (pow sinTheta_O 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2))) (/ (* (pow sinTheta_O 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2)))) (pow sinTheta_O 2)) (/ (* v (+ (* -1 (/ (* sinTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)))) sinTheta_O)))) (pow sinTheta_O 2)))) sinTheta_i)) (/ (* (pow v 2) (+ (* 2 (/ (* (pow sinTheta_O 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2))) (/ (* (pow sinTheta_O 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2)))) (pow sinTheta_O 2))) (/ (* v (+ (* -1 (/ (* sinTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)))) sinTheta_O)) sinTheta_i)) (/ sinTheta_O v))))
(* -1 (* sinTheta_i (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (/ (* (pow v 2) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 3)) (pow sinTheta_O 2)) (+ (/ (* (pow v 2) (* (+ (* -1 (/ (* sinTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v))) (- (/ (* (pow v 2) (+ (* 2 (/ (* sinTheta_O (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) v)) (/ (* sinTheta_O (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) v))) (pow sinTheta_O 2)) (+ (/ (* v (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2))) sinTheta_O) (/ (* (pow v 2) (* (+ (* -1 (/ (* sinTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v))) (- (/ (* (pow v 2) (+ (* 2 (/ (* (pow sinTheta_O 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2))) (/ (* (pow sinTheta_O 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2)))) (pow sinTheta_O 2)) (/ (* v (+ (* -1 (/ (* sinTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)))) sinTheta_O)))) (pow sinTheta_O 2)))))) (pow sinTheta_O 2)) (/ (* (pow v 2) (* (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (- (/ (* (pow v 2) (+ (* 2 (/ (* (pow sinTheta_O 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2))) (/ (* (pow sinTheta_O 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2)))) (pow sinTheta_O 2)) (/ (* v (+ (* -1 (/ (* sinTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)))) sinTheta_O)))) (pow sinTheta_O 2)))) sinTheta_i)) (/ (* (pow v 2) (+ (* 2 (/ (* sinTheta_O (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) v)) (/ (* sinTheta_O (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) v))) (pow sinTheta_O 2))) (+ (/ (* v (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2))) sinTheta_O) (/ (* (pow v 2) (* (+ (* -1 (/ (* sinTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v))) (- (/ (* (pow v 2) (+ (* 2 (/ (* (pow sinTheta_O 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2))) (/ (* (pow sinTheta_O 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2)))) (pow sinTheta_O 2)) (/ (* v (+ (* -1 (/ (* sinTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)))) sinTheta_O)))) (pow sinTheta_O 2)))) sinTheta_i)) (/ (* (pow v 2) (+ (* 2 (/ (* (pow sinTheta_O 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2))) (/ (* (pow sinTheta_O 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2)))) (pow sinTheta_O 2))) (/ (* v (+ (* -1 (/ (* sinTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)))) sinTheta_O)) sinTheta_i)) (/ sinTheta_O v))))
(* -1 (* (pow sinTheta_i 3) (+ (* -1 (/ (+ (* 2 (/ (* (pow sinTheta_O 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2))) (/ (* (pow sinTheta_O 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2))) sinTheta_i)) (/ (pow sinTheta_O 3) (pow v 3)))))
(* -1 (* (pow sinTheta_i 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* 2 (/ (* sinTheta_O (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) v)) (/ (* sinTheta_O (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) v)) sinTheta_i)) (+ (* 2 (/ (* (pow sinTheta_O 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2))) (/ (* (pow sinTheta_O 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2)))) sinTheta_i)) (/ (pow sinTheta_O 3) (pow v 3)))))
(* -1 (* (pow sinTheta_i 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 3) sinTheta_i)) (+ (* 2 (/ (* sinTheta_O (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) v)) (/ (* sinTheta_O (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) v))) sinTheta_i)) (+ (* 2 (/ (* (pow sinTheta_O 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2))) (/ (* (pow sinTheta_O 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2)))) sinTheta_i)) (/ (pow sinTheta_O 3) (pow v 3)))))
(* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ sinTheta_O v))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1 (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2) sinTheta_i)) (* 2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v))) sinTheta_i)) (/ (pow sinTheta_O 2) (pow v 2))))
(/ (+ (/ (* (pow v 2) (pow (log (/ 1/2 v)) 3)) (pow sinTheta_O 2)) (/ (* (pow v 4) (* (pow (log (/ 1/2 v)) 3) (+ (* -1 (/ (* sinTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v))))) (* (pow sinTheta_O 4) sinTheta_i))) (pow sinTheta_i 2))
(/ (+ (* -1 (/ (- (+ (* -1 (/ (* (pow v 6) (* (pow (log (/ 1/2 v)) 3) (pow (+ (* -1 (/ (* sinTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v))) 2))) (* (pow sinTheta_O 6) sinTheta_i))) (/ (* (pow v 4) (* (pow (log (/ 1/2 v)) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)))) (* (pow sinTheta_O 4) sinTheta_i))) (/ (* (pow v 4) (* (pow (log (/ 1/2 v)) 3) (+ (* -1 (/ (* sinTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v))))) (pow sinTheta_O 4))) sinTheta_i)) (/ (* (pow v 2) (pow (log (/ 1/2 v)) 3)) (pow sinTheta_O 2))) (pow sinTheta_i 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (pow v 2) (* (+ (* -1 (/ (* sinTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v))) (+ (* -1 (/ (* (pow v 6) (* (pow (log (/ 1/2 v)) 3) (pow (+ (* -1 (/ (* sinTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v))) 2))) (pow sinTheta_O 6))) (/ (* (pow v 4) (* (pow (log (/ 1/2 v)) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)))) (pow sinTheta_O 4))))) (* (pow sinTheta_O 2) sinTheta_i))) (* -1 (/ (* (pow v 6) (* (pow (log (/ 1/2 v)) 3) (* (+ (* -1 (/ (* sinTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v))) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2))))) (* (pow sinTheta_O 6) sinTheta_i)))) (+ (* -1 (/ (* (pow v 6) (* (pow (log (/ 1/2 v)) 3) (pow (+ (* -1 (/ (* sinTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v))) 2))) (pow sinTheta_O 6))) (/ (* (pow v 4) (* (pow (log (/ 1/2 v)) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)))) (pow sinTheta_O 4)))) sinTheta_i)) (/ (* (pow v 4) (* (pow (log (/ 1/2 v)) 3) (+ (* -1 (/ (* sinTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v))))) (pow sinTheta_O 4))) sinTheta_i)) (/ (* (pow v 2) (pow (log (/ 1/2 v)) 3)) (pow sinTheta_O 2))) (pow sinTheta_i 2))
(+ (* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (* sinTheta_O (+ (* -1/2 (/ (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) (pow v 2))) (* 1/4 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (pow v 3))))))
(+ (* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (* sinTheta_O (+ (* -1/2 (/ (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) (pow v 2))) (* sinTheta_O (+ (* -1/12 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (pow v 4))) (* 1/4 (/ (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) (pow v 3))))))))
(+ (* 2 (/ v (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (* sinTheta_O (+ (* -2 (* sinTheta_O (+ (* -1 (/ (pow sinTheta_i 2) (* v (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))))) (* 1/2 (/ (pow sinTheta_i 2) (* v (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))))))) (* 2 (/ sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))))))
(+ (* 2 (/ v (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (* sinTheta_O (+ (* 2 (/ sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (* sinTheta_O (+ (* -2 (* sinTheta_O (+ (* -1/6 (/ (pow sinTheta_i 3) (* (pow v 2) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))))) (+ (* 1/2 (/ (pow sinTheta_i 3) (* (pow v 2) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))))) (/ (* sinTheta_i (+ (* -1 (/ (pow sinTheta_i 2) (* v (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))))) (* 1/2 (/ (pow sinTheta_i 2) (* v (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))))))) v))))) (* -2 (+ (* -1 (/ (pow sinTheta_i 2) (* v (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))))) (* 1/2 (/ (pow sinTheta_i 2) (* v (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))))))))))))
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(+ (* sinTheta_O (+ (* -2 (/ (* sinTheta_i (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) v)) (+ (* -1 (/ (* sinTheta_i (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) v)) (* sinTheta_O (+ (* -1 (/ (* sinTheta_O (pow sinTheta_i 3)) (pow v 3))) (+ (* 2 (/ (* (pow sinTheta_i 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2))) (/ (* (pow sinTheta_i 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2)))))))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 3))
(+ (* sinTheta_O (+ (* -2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2))
(+ (* -1 (/ (* sinTheta_O (* (pow (log (/ 1/2 v)) 3) (+ (* -2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_i (log (/ 1/2 v))) v)))) (pow (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) 2))) (/ (pow (log (/ 1/2 v)) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2))))
(+ (* sinTheta_O (- (* -1 (* sinTheta_O (+ (* -1 (/ (* (pow (log (/ 1/2 v)) 3) (pow (+ (* -2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_i (log (/ 1/2 v))) v)) 2)) (pow (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) 3))) (/ (* (pow sinTheta_i 2) (pow (log (/ 1/2 v)) 3)) (* (pow v 2) (pow (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) 2)))))) (/ (* (pow (log (/ 1/2 v)) 3) (+ (* -2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_i (log (/ 1/2 v))) v))) (pow (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) 2)))) (/ (pow (log (/ 1/2 v)) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2))))
(+ (* sinTheta_O (- (* sinTheta_O (- (* -1 (* sinTheta_O (+ (* -1 (/ (* (+ (* -2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_i (log (/ 1/2 v))) v)) (+ (* -1 (/ (* (pow (log (/ 1/2 v)) 3) (pow (+ (* -2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_i (log (/ 1/2 v))) v)) 2)) (pow (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) 3))) (/ (* (pow sinTheta_i 2) (pow (log (/ 1/2 v)) 3)) (* (pow v 2) (pow (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) 2))))) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)))) (* -1 (/ (* (pow sinTheta_i 2) (* (pow (log (/ 1/2 v)) 3) (+ (* -2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_i (log (/ 1/2 v))) v)))) (* (pow v 2) (pow (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) 3))))))) (+ (* -1 (/ (* (pow (log (/ 1/2 v)) 3) (pow (+ (* -2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_i (log (/ 1/2 v))) v)) 2)) (pow (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) 3))) (/ (* (pow sinTheta_i 2) (pow (log (/ 1/2 v)) 3)) (* (pow v 2) (pow (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) 2)))))) (/ (* (pow (log (/ 1/2 v)) 3) (+ (* -2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_i (log (/ 1/2 v))) v))) (pow (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) 2)))) (/ (pow (log (/ 1/2 v)) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2))))
(* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ (log (/ 1/2 v)) sinTheta_O) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (log (/ 1/2 v)) sinTheta_O)) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(* sinTheta_O (- (+ (/ (log (/ 1/2 v)) sinTheta_O) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ sinTheta_i v)))
(+ (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (+ (* -1 (/ (* (pow v 4) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (* (pow (log (/ 1/2 v)) 3) (+ (* -2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_i (log (/ 1/2 v))) v))))) (* (pow sinTheta_O 3) (pow sinTheta_i 4)))) (/ (* (pow v 2) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (pow (log (/ 1/2 v)) 3))) (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))
(+ (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (+ (* -1 (/ (* (pow v 4) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (* (pow (log (/ 1/2 v)) 3) (+ (* -2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_i (log (/ 1/2 v))) v))))) (* (pow sinTheta_O 3) (pow sinTheta_i 4)))) (+ (/ (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (+ (* -1 (+ (* -1 (/ (* (pow v 6) (* (pow (log (/ 1/2 v)) 3) (pow (+ (* -2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_i (log (/ 1/2 v))) v)) 2))) (pow sinTheta_i 6))) (/ (* (pow v 4) (* (pow (log (/ 1/2 v)) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)))) (pow sinTheta_i 4)))) (* 1/2 (/ (* (pow v 4) (pow (log (/ 1/2 v)) 6)) (pow sinTheta_i 4))))) (pow sinTheta_O 4)) (/ (* (pow v 2) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (pow (log (/ 1/2 v)) 3))) (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))
(* sinTheta_O (- (+ (* -1 (/ sinTheta_i v)) (/ (* (pow v 2) (+ (* 2 (/ (* (pow sinTheta_i 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2))) (/ (* (pow sinTheta_i 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2)))) (* sinTheta_O (pow sinTheta_i 2)))) (* -1 (/ (* v (+ (* -2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_i (log (/ 1/2 v))) v))) (* sinTheta_O sinTheta_i)))))
(* sinTheta_O (- (+ (* -1 (/ sinTheta_i v)) (+ (/ (* (pow v 2) (+ (* -2 (/ (* sinTheta_i (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) v)) (* -1 (/ (* sinTheta_i (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) v)))) (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (/ (* (pow v 2) (+ (* 2 (/ (* (pow sinTheta_i 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2))) (/ (* (pow sinTheta_i 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2)))) (* sinTheta_O (pow sinTheta_i 2))))) (+ (* -1 (/ (* v (+ (* -2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_i (log (/ 1/2 v))) v))) (* sinTheta_O sinTheta_i))) (+ (* -1 (/ (* v (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2))) (* (pow sinTheta_O 2) sinTheta_i))) (/ (* (pow v 2) (* (+ (* -2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_i (log (/ 1/2 v))) v)) (- (/ (* (pow v 2) (+ (* 2 (/ (* (pow sinTheta_i 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2))) (/ (* (pow sinTheta_i 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2)))) (pow sinTheta_i 2)) (* -1 (/ (* v (+ (* -2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_i (log (/ 1/2 v))) v))) sinTheta_i))))) (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))
(* sinTheta_O (- (+ (* -1 (/ sinTheta_i v)) (+ (/ (* (pow v 2) (+ (* -2 (/ (* sinTheta_i (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) v)) (* -1 (/ (* sinTheta_i (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) v)))) (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (+ (/ (* (pow v 2) (+ (* 2 (/ (* (pow sinTheta_i 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2))) (/ (* (pow sinTheta_i 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2)))) (* sinTheta_O (pow sinTheta_i 2))) (/ (* (pow v 2) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 3)) (* (pow sinTheta_O 3) (pow sinTheta_i 2)))))) (+ (* -1 (/ (* v (+ (* -2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_i (log (/ 1/2 v))) v))) (* sinTheta_O sinTheta_i))) (+ (* -1 (/ (* v (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2))) (* (pow sinTheta_O 2) sinTheta_i))) (+ (/ (* (pow v 2) (* (+ (* -2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_i (log (/ 1/2 v))) v)) (- (/ (* (pow v 2) (+ (* -2 (/ (* sinTheta_i (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) v)) (* -1 (/ (* sinTheta_i (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) v)))) (pow sinTheta_i 2)) (+ (* -1 (/ (* v (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2))) sinTheta_i)) (/ (* (pow v 2) (* (+ (* -2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_i (log (/ 1/2 v))) v)) (- (/ (* (pow v 2) (+ (* 2 (/ (* (pow sinTheta_i 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2))) (/ (* (pow sinTheta_i 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2)))) (pow sinTheta_i 2)) (* -1 (/ (* v (+ (* -2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_i (log (/ 1/2 v))) v))) sinTheta_i))))) (pow sinTheta_i 2)))))) (* (pow sinTheta_O 3) (pow sinTheta_i 2))) (+ (/ (* (pow v 2) (* (+ (* -2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_i (log (/ 1/2 v))) v)) (- (/ (* (pow v 2) (+ (* 2 (/ (* (pow sinTheta_i 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2))) (/ (* (pow sinTheta_i 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2)))) (pow sinTheta_i 2)) (* -1 (/ (* v (+ (* -2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_i (log (/ 1/2 v))) v))) sinTheta_i))))) (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (/ (* (pow v 2) (* (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (- (/ (* (pow v 2) (+ (* 2 (/ (* (pow sinTheta_i 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2))) (/ (* (pow sinTheta_i 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2)))) (pow sinTheta_i 2)) (* -1 (/ (* v (+ (* -2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_i (log (/ 1/2 v))) v))) sinTheta_i))))) (* (pow sinTheta_O 3) (pow sinTheta_i 2)))))))))
(* (pow sinTheta_O 3) (+ (* -1 (/ (pow sinTheta_i 3) (pow v 3))) (+ (* 2 (/ (* (pow sinTheta_i 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_O (pow v 2)))) (/ (* (pow sinTheta_i 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_O (pow v 2))))))
(* (pow sinTheta_O 3) (+ (* -2 (/ (* sinTheta_i (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* (pow sinTheta_O 2) v))) (+ (* -1 (/ (* sinTheta_i (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* (pow sinTheta_O 2) v))) (+ (* -1 (/ (pow sinTheta_i 3) (pow v 3))) (+ (* 2 (/ (* (pow sinTheta_i 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_O (pow v 2)))) (/ (* (pow sinTheta_i 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_O (pow v 2))))))))
(* (pow sinTheta_O 3) (+ (* -2 (/ (* sinTheta_i (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* (pow sinTheta_O 2) v))) (+ (* -1 (/ (* sinTheta_i (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* (pow sinTheta_O 2) v))) (+ (* -1 (/ (pow sinTheta_i 3) (pow v 3))) (+ (* 2 (/ (* (pow sinTheta_i 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_O (pow v 2)))) (+ (/ (* (pow sinTheta_i 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_O (pow v 2))) (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 3) (pow sinTheta_O 3))))))))
(* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))
(* (pow sinTheta_O 2) (+ (* -2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_O v))) (/ (pow sinTheta_i 2) (pow v 2))))
(* (pow sinTheta_O 2) (+ (* -2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_O v))) (+ (/ (pow sinTheta_i 2) (pow v 2)) (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2) (pow sinTheta_O 2)))))
(/ (+ (* -1 (/ (* (pow v 4) (* (pow (log (/ 1/2 v)) 3) (+ (* -2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_i (log (/ 1/2 v))) v)))) (* sinTheta_O (pow sinTheta_i 4)))) (/ (* (pow v 2) (pow (log (/ 1/2 v)) 3)) (pow sinTheta_i 2))) (pow sinTheta_O 2))
(/ (- (+ (* -1 (/ (+ (* -1 (/ (* (pow v 6) (* (pow (log (/ 1/2 v)) 3) (pow (+ (* -2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_i (log (/ 1/2 v))) v)) 2))) (pow sinTheta_i 6))) (/ (* (pow v 4) (* (pow (log (/ 1/2 v)) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)))) (pow sinTheta_i 4))) (pow sinTheta_O 2))) (/ (* (pow v 2) (pow (log (/ 1/2 v)) 3)) (pow sinTheta_i 2))) (/ (* (pow v 4) (* (pow (log (/ 1/2 v)) 3) (+ (* -2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_i (log (/ 1/2 v))) v)))) (* sinTheta_O (pow sinTheta_i 4)))) (pow sinTheta_O 2))
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(* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
(* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
(* -1 (* sinTheta_O (- (* -1 (/ (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
(+ (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (+ (/ (* (pow v 2) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (pow (log (/ 1/2 v)) 3))) (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (/ (* (pow v 4) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (* (pow (log (/ 1/2 v)) 3) (+ (* -1 (/ (* sinTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)))))) (* (pow sinTheta_O 3) (pow sinTheta_i 4)))))
(+ (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (+ (* -1 (/ (+ (* -1 (/ (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (+ (* -1 (+ (* -1 (/ (* (pow v 6) (* (pow (log (/ 1/2 v)) 3) (pow (+ (* -1 (/ (* sinTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v))) 2))) (pow sinTheta_i 6))) (/ (* (pow v 4) (* (pow (log (/ 1/2 v)) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)))) (pow sinTheta_i 4)))) (* 1/2 (/ (* (pow v 4) (pow (log (/ 1/2 v)) 6)) (pow sinTheta_i 4))))) sinTheta_O)) (* -1 (/ (* (pow v 4) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (* (pow (log (/ 1/2 v)) 3) (+ (* -1 (/ (* sinTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)))))) (pow sinTheta_i 4)))) (pow sinTheta_O 3))) (/ (* (pow v 2) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (pow (log (/ 1/2 v)) 3))) (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))
(* -1 (* sinTheta_O (+ (* -1 (/ (- (/ (* (pow v 2) (+ (* 2 (/ (* (pow sinTheta_i 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2))) (/ (* (pow sinTheta_i 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2)))) (pow sinTheta_i 2)) (/ (* v (+ (* -1 (/ (* sinTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)))) sinTheta_i)) sinTheta_O)) (/ sinTheta_i v))))
(* -1 (* sinTheta_O (+ (* -1 (/ (- (+ (* -1 (/ (- (/ (* (pow v 2) (+ (* 2 (/ (* sinTheta_i (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) v)) (/ (* sinTheta_i (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) v))) (pow sinTheta_i 2)) (+ (/ (* v (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2))) sinTheta_i) (/ (* (pow v 2) (* (+ (* -1 (/ (* sinTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v))) (- (/ (* (pow v 2) (+ (* 2 (/ (* (pow sinTheta_i 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2))) (/ (* (pow sinTheta_i 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2)))) (pow sinTheta_i 2)) (/ (* v (+ (* -1 (/ (* sinTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)))) sinTheta_i)))) (pow sinTheta_i 2)))) sinTheta_O)) (/ (* (pow v 2) (+ (* 2 (/ (* (pow sinTheta_i 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2))) (/ (* (pow sinTheta_i 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2)))) (pow sinTheta_i 2))) (/ (* v (+ (* -1 (/ (* sinTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)))) sinTheta_i)) sinTheta_O)) (/ sinTheta_i v))))
(* -1 (* sinTheta_O (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (/ (* (pow v 2) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 3)) (pow sinTheta_i 2)) (+ (/ (* (pow v 2) (* (+ (* -1 (/ (* sinTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v))) (- (/ (* (pow v 2) (+ (* 2 (/ (* sinTheta_i (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) v)) (/ (* sinTheta_i (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) v))) (pow sinTheta_i 2)) (+ (/ (* v (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2))) sinTheta_i) (/ (* (pow v 2) (* (+ (* -1 (/ (* sinTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v))) (- (/ (* (pow v 2) (+ (* 2 (/ (* (pow sinTheta_i 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2))) (/ (* (pow sinTheta_i 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2)))) (pow sinTheta_i 2)) (/ (* v (+ (* -1 (/ (* sinTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)))) sinTheta_i)))) (pow sinTheta_i 2)))))) (pow sinTheta_i 2)) (/ (* (pow v 2) (* (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (- (/ (* (pow v 2) (+ (* 2 (/ (* (pow sinTheta_i 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2))) (/ (* (pow sinTheta_i 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2)))) (pow sinTheta_i 2)) (/ (* v (+ (* -1 (/ (* sinTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)))) sinTheta_i)))) (pow sinTheta_i 2)))) sinTheta_O)) (/ (* (pow v 2) (+ (* 2 (/ (* sinTheta_i (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) v)) (/ (* sinTheta_i (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) v))) (pow sinTheta_i 2))) (+ (/ (* v (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2))) sinTheta_i) (/ (* (pow v 2) (* (+ (* -1 (/ (* sinTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v))) (- (/ (* (pow v 2) (+ (* 2 (/ (* (pow sinTheta_i 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2))) (/ (* (pow sinTheta_i 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2)))) (pow sinTheta_i 2)) (/ (* v (+ (* -1 (/ (* sinTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)))) sinTheta_i)))) (pow sinTheta_i 2)))) sinTheta_O)) (/ (* (pow v 2) (+ (* 2 (/ (* (pow sinTheta_i 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2))) (/ (* (pow sinTheta_i 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2)))) (pow sinTheta_i 2))) (/ (* v (+ (* -1 (/ (* sinTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)))) sinTheta_i)) sinTheta_O)) (/ sinTheta_i v))))
(* -1 (* (pow sinTheta_O 3) (+ (* -1 (/ (+ (* 2 (/ (* (pow sinTheta_i 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2))) (/ (* (pow sinTheta_i 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2))) sinTheta_O)) (/ (pow sinTheta_i 3) (pow v 3)))))
(* -1 (* (pow sinTheta_O 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* 2 (/ (* sinTheta_i (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) v)) (/ (* sinTheta_i (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) v)) sinTheta_O)) (+ (* 2 (/ (* (pow sinTheta_i 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2))) (/ (* (pow sinTheta_i 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2)))) sinTheta_O)) (/ (pow sinTheta_i 3) (pow v 3)))))
(* -1 (* (pow sinTheta_O 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 3) sinTheta_O)) (+ (* 2 (/ (* sinTheta_i (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) v)) (/ (* sinTheta_i (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) v))) sinTheta_O)) (+ (* 2 (/ (* (pow sinTheta_i 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2))) (/ (* (pow sinTheta_i 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2)))) sinTheta_O)) (/ (pow sinTheta_i 3) (pow v 3)))))
(* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ sinTheta_i v))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1 (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2) sinTheta_O)) (* 2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v))) sinTheta_O)) (/ (pow sinTheta_i 2) (pow v 2))))
(/ (+ (/ (* (pow v 2) (pow (log (/ 1/2 v)) 3)) (pow sinTheta_i 2)) (/ (* (pow v 4) (* (pow (log (/ 1/2 v)) 3) (+ (* -1 (/ (* sinTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v))))) (* sinTheta_O (pow sinTheta_i 4)))) (pow sinTheta_O 2))
(/ (+ (* -1 (/ (- (+ (* -1 (/ (* (pow v 6) (* (pow (log (/ 1/2 v)) 3) (pow (+ (* -1 (/ (* sinTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v))) 2))) (* sinTheta_O (pow sinTheta_i 6)))) (/ (* (pow v 4) (* (pow (log (/ 1/2 v)) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)))) (* sinTheta_O (pow sinTheta_i 4)))) (/ (* (pow v 4) (* (pow (log (/ 1/2 v)) 3) (+ (* -1 (/ (* sinTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v))))) (pow sinTheta_i 4))) sinTheta_O)) (/ (* (pow v 2) (pow (log (/ 1/2 v)) 3)) (pow sinTheta_i 2))) (pow sinTheta_O 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (pow v 2) (* (+ (* -1 (/ (* sinTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v))) (+ (* -1 (/ (* (pow v 6) (* (pow (log (/ 1/2 v)) 3) (pow (+ (* -1 (/ (* sinTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v))) 2))) (pow sinTheta_i 6))) (/ (* (pow v 4) (* (pow (log (/ 1/2 v)) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)))) (pow sinTheta_i 4))))) (* sinTheta_O (pow sinTheta_i 2)))) (* -1 (/ (* (pow v 6) (* (pow (log (/ 1/2 v)) 3) (* (+ (* -1 (/ (* sinTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v))) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2))))) (* sinTheta_O (pow sinTheta_i 6))))) (+ (* -1 (/ (* (pow v 6) (* (pow (log (/ 1/2 v)) 3) (pow (+ (* -1 (/ (* sinTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v))) 2))) (pow sinTheta_i 6))) (/ (* (pow v 4) (* (pow (log (/ 1/2 v)) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)))) (pow sinTheta_i 4)))) sinTheta_O)) (/ (* (pow v 4) (* (pow (log (/ 1/2 v)) 3) (+ (* -1 (/ (* sinTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v))))) (pow sinTheta_i 4))) sinTheta_O)) (/ (* (pow v 2) (pow (log (/ 1/2 v)) 3)) (pow sinTheta_i 2))) (pow sinTheta_O 2))
(* 1/2 (/ (exp 6931/10000) v))
(/ 1/2 v)
(/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/ (- (+ (* cosTheta_O cosTheta_i) (* v (+ 6931/10000 (+ (log 1/2) (* -1 (log v)))))) (+ 1 (* sinTheta_O sinTheta_i))) v)
(* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))
(/ (- (* v (+ 6931/10000 (+ (log 1/2) (* -1 (log v))))) (+ 1 (* sinTheta_O sinTheta_i))) v)
(+ 6931/10000 (+ (log 1/2) (* -1 (log v))))
(/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)
(/ (- (+ (* cosTheta_O cosTheta_i) (* v (+ (log 1/2) (* -1 (log v))))) (* sinTheta_O sinTheta_i)) v)
(+ (log 1/2) (* -1 (log v)))
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(/ (+ (* v (+ (* 6931/10000 (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (* 6931/5000 (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)))) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3)) (pow v 3))
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(exp (- (/ 1 v) 6931/10000))
(/ 1 v)
(/ (+ 1 (* -6931/10000 v)) v)
(pow (+ (log 1/2) (* -1 (log v))) 3)
(/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (pow v 2))
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(* 2 (/ v (exp 6931/10000)))
(* v (+ (* -2 (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) (* v (exp 6931/10000)))) (* 2 (/ 1 (exp 6931/10000)))))
(* v (- (+ (* -1 (/ (+ (* -2 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (exp 6931/10000))) (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (exp 6931/10000))) (pow v 2))) (* 2 (/ 1 (exp 6931/10000)))) (* 2 (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) (* v (exp 6931/10000))))))
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(exp 6931/10000)
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(exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v)))))
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(/ (exp (+ (log 1/2) (log (/ 1 v)))) (exp -6931/10000))
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332956652491/1000000000000
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6931/10000
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-6931/10000
(- (/ 1 v) 6931/10000)
(pow (+ (log 1/2) (log (/ 1 v))) 3)
48038761/100000000
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(/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000))
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(pow (+ (log -1/2) (log (/ -1 v))) 3)
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Calls

15 calls:

TimeVariablePointExpression
93.0ms
v
@0
((/ 1 (/ 1 (* (exp (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v))) (/ 1/2 v)))) (/ 1 (* (exp (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v))) (/ 1/2 v))) (* (exp (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v))) (/ 1/2 v)) (exp (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v))) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (/ 1/2 v) (exp 6931/10000)) (/ 1/2 v) (exp 6931/10000) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (+ (log (/ 1/2 v)) 6931/10000) (/ (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (exp (- (/ 1 v) 6931/10000))) (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (log (/ 1/2 v)) (* (exp (/ (pow (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 3) (+ (* (log (/ 1/2 v)) (- (log (/ 1/2 v)) (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)))) (pow (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 2)))) (exp (/ (pow (log (/ 1/2 v)) 3) (+ (* (log (/ 1/2 v)) (- (log (/ 1/2 v)) (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)))) (pow (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 2))))) (exp (/ (pow (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 3) (+ (* (log (/ 1/2 v)) (- (log (/ 1/2 v)) (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)))) (pow (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 2)))) (/ (pow (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 3) (+ (* (log (/ 1/2 v)) (- (log (/ 1/2 v)) (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)))) (pow (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 2))) (pow (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 3) (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v) (exp (- (/ 1 v) 6931/10000)) (- (/ 1 v) 6931/10000) (pow (log (/ 1/2 v)) 3) (pow (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 2) (/ (pow (log (/ 1/2 v)) 3) (+ (* (log (/ 1/2 v)) (- (log (/ 1/2 v)) (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)))) (pow (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 2))))
53.0ms
cosTheta_i
@inf
((/ 1 (/ 1 (* (exp (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v))) (/ 1/2 v)))) (/ 1 (* (exp (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v))) (/ 1/2 v))) (* (exp (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v))) (/ 1/2 v)) (exp (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v))) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (/ 1/2 v) (exp 6931/10000)) (/ 1/2 v) (exp 6931/10000) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (+ (log (/ 1/2 v)) 6931/10000) (/ (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (exp (- (/ 1 v) 6931/10000))) (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (log (/ 1/2 v)) (* (exp (/ (pow (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 3) (+ (* (log (/ 1/2 v)) (- (log (/ 1/2 v)) (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)))) (pow (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 2)))) (exp (/ (pow (log (/ 1/2 v)) 3) (+ (* (log (/ 1/2 v)) (- (log (/ 1/2 v)) (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)))) (pow (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 2))))) (exp (/ (pow (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 3) (+ (* (log (/ 1/2 v)) (- (log (/ 1/2 v)) (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)))) (pow (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 2)))) (/ (pow (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 3) (+ (* (log (/ 1/2 v)) (- (log (/ 1/2 v)) (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)))) (pow (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 2))) (pow (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 3) (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v) (exp (- (/ 1 v) 6931/10000)) (- (/ 1 v) 6931/10000) (pow (log (/ 1/2 v)) 3) (pow (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 2) (/ (pow (log (/ 1/2 v)) 3) (+ (* (log (/ 1/2 v)) (- (log (/ 1/2 v)) (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)))) (pow (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 2))))
48.0ms
cosTheta_O
@0
((/ 1 (/ 1 (* (exp (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v))) (/ 1/2 v)))) (/ 1 (* (exp (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v))) (/ 1/2 v))) (* (exp (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v))) (/ 1/2 v)) (exp (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v))) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (/ 1/2 v) (exp 6931/10000)) (/ 1/2 v) (exp 6931/10000) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (+ (log (/ 1/2 v)) 6931/10000) (/ (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (exp (- (/ 1 v) 6931/10000))) (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (log (/ 1/2 v)) (* (exp (/ (pow (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 3) (+ (* (log (/ 1/2 v)) (- (log (/ 1/2 v)) (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)))) (pow (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 2)))) (exp (/ (pow (log (/ 1/2 v)) 3) (+ (* (log (/ 1/2 v)) (- (log (/ 1/2 v)) (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)))) (pow (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 2))))) (exp (/ (pow (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 3) (+ (* (log (/ 1/2 v)) (- (log (/ 1/2 v)) (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)))) (pow (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 2)))) (/ (pow (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 3) (+ (* (log (/ 1/2 v)) (- (log (/ 1/2 v)) (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)))) (pow (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 2))) (pow (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 3) (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v) (exp (- (/ 1 v) 6931/10000)) (- (/ 1 v) 6931/10000) (pow (log (/ 1/2 v)) 3) (pow (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 2) (/ (pow (log (/ 1/2 v)) 3) (+ (* (log (/ 1/2 v)) (- (log (/ 1/2 v)) (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)))) (pow (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 2))))
38.0ms
v
@-inf
((/ 1 (/ 1 (* (exp (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v))) (/ 1/2 v)))) (/ 1 (* (exp (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v))) (/ 1/2 v))) (* (exp (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v))) (/ 1/2 v)) (exp (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v))) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (/ 1/2 v) (exp 6931/10000)) (/ 1/2 v) (exp 6931/10000) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (+ (log (/ 1/2 v)) 6931/10000) (/ (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (exp (- (/ 1 v) 6931/10000))) (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (log (/ 1/2 v)) (* (exp (/ (pow (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 3) (+ (* (log (/ 1/2 v)) (- (log (/ 1/2 v)) (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)))) (pow (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 2)))) (exp (/ (pow (log (/ 1/2 v)) 3) (+ (* (log (/ 1/2 v)) (- (log (/ 1/2 v)) (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)))) (pow (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 2))))) (exp (/ (pow (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 3) (+ (* (log (/ 1/2 v)) (- (log (/ 1/2 v)) (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)))) (pow (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 2)))) (/ (pow (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 3) (+ (* (log (/ 1/2 v)) (- (log (/ 1/2 v)) (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)))) (pow (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 2))) (pow (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 3) (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v) (exp (- (/ 1 v) 6931/10000)) (- (/ 1 v) 6931/10000) (pow (log (/ 1/2 v)) 3) (pow (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 2) (/ (pow (log (/ 1/2 v)) 3) (+ (* (log (/ 1/2 v)) (- (log (/ 1/2 v)) (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)))) (pow (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 2))))
35.0ms
sinTheta_O
@0
((/ 1 (/ 1 (* (exp (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v))) (/ 1/2 v)))) (/ 1 (* (exp (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v))) (/ 1/2 v))) (* (exp (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v))) (/ 1/2 v)) (exp (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v))) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (/ 1/2 v) (exp 6931/10000)) (/ 1/2 v) (exp 6931/10000) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (+ (log (/ 1/2 v)) 6931/10000) (/ (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (exp (- (/ 1 v) 6931/10000))) (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (log (/ 1/2 v)) (* (exp (/ (pow (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 3) (+ (* (log (/ 1/2 v)) (- (log (/ 1/2 v)) (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)))) (pow (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 2)))) (exp (/ (pow (log (/ 1/2 v)) 3) (+ (* (log (/ 1/2 v)) (- (log (/ 1/2 v)) (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)))) (pow (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 2))))) (exp (/ (pow (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 3) (+ (* (log (/ 1/2 v)) (- (log (/ 1/2 v)) (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)))) (pow (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 2)))) (/ (pow (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 3) (+ (* (log (/ 1/2 v)) (- (log (/ 1/2 v)) (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)))) (pow (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 2))) (pow (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 3) (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v) (exp (- (/ 1 v) 6931/10000)) (- (/ 1 v) 6931/10000) (pow (log (/ 1/2 v)) 3) (pow (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 2) (/ (pow (log (/ 1/2 v)) 3) (+ (* (log (/ 1/2 v)) (- (log (/ 1/2 v)) (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)))) (pow (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 2))))

simplify578.0ms (5%)

Memory
-51.1MiB live, 735.7MiB allocated; 170ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0373495527
0804593669
Stop Event
iter limit
node limit
Counts
457 → 457
Calls
Call 1
Inputs
(* 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 (/ (* cosTheta_O (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))))
(+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* cosTheta_i (+ (* 1/4 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))))
(+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* cosTheta_i (+ (* 1/2 (/ (* cosTheta_O (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))) (* cosTheta_i (+ (* 1/12 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 4))) (* 1/4 (/ (* (pow cosTheta_O 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 3))))))))
(* 2 (/ v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
(+ (* -2 (/ (* cosTheta_O cosTheta_i) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 2 (/ v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))
(+ (* 2 (/ v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* cosTheta_i (+ (* -2 (* cosTheta_i (+ (* -1 (/ (pow cosTheta_O 2) (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* 1/2 (/ (pow cosTheta_O 2) (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))) (* -2 (/ cosTheta_O (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))
(+ (* 2 (/ v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* cosTheta_i (+ (* -2 (/ cosTheta_O (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* cosTheta_i (+ (* -2 (* cosTheta_i (+ (* -1 (/ (* cosTheta_O (+ (* -1 (/ (pow cosTheta_O 2) (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* 1/2 (/ (pow cosTheta_O 2) (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) v)) (+ (* -1/2 (/ (pow cosTheta_O 3) (* (pow v 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* 1/6 (/ (pow cosTheta_O 3) (* (pow v 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))))) (* -2 (+ (* -1 (/ (pow cosTheta_O 2) (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* 1/2 (/ (pow cosTheta_O 2) (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))))))))
(exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(+ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (/ (* cosTheta_O (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) v))
(+ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_O (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(+ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_O (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) 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))))
(- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(/ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000)))
(+ (/ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000))) (/ (* cosTheta_O (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (* v (exp (- (/ 1 v) 6931/10000)))))
(+ (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))) (/ (* cosTheta_O (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000)))))) (/ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000))))
(+ (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 3) (exp (- (/ 1 v) 6931/10000))))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))))) (/ (* cosTheta_O (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000)))))) (/ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000))))
(exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))
(+ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (/ (* cosTheta_O (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) v))
(+ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))) (/ (* cosTheta_O (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) v))))
(+ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))))) (/ (* cosTheta_O (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) v))))
(- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))
(- (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)) (/ (* sinTheta_O sinTheta_i) v))
(* (exp (/ (pow (log (/ 1/2 v)) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (exp (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))))
(+ (* cosTheta_i (+ (* -1 (/ (* (exp (/ (pow (log (/ 1/2 v)) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (* (exp (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (* (pow (log (/ 1/2 v)) 3) (+ (* -1 (/ (* cosTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)))))) (pow (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) 2))) (* (exp (/ (pow (log (/ 1/2 v)) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (* (exp (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (- (+ (* 2 (/ (* cosTheta_O (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* v (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (/ (* cosTheta_O (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* v (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (/ (* (+ (* -1 (/ (* cosTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3)) (pow (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) 2))))))) (* (exp (/ (pow (log (/ 1/2 v)) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (exp (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))))
(+ (* cosTheta_i (+ (* -1 (/ (* (exp (/ (pow (log (/ 1/2 v)) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (* (exp (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (* (pow (log (/ 1/2 v)) 3) (+ (* -1 (/ (* cosTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)))))) (pow (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) 2))) (+ (* cosTheta_i (+ (* -1 (/ (* (exp (/ (pow (log (/ 1/2 v)) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow 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sinTheta_i) v))) 2))))) (/ (* (+ (* -1 (/ (* cosTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3)) (pow (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) 2))))))) (pow (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) 2))) (+ (* (exp (/ (pow (log (/ 1/2 v)) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (* (exp (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 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sinTheta_i) v))) 2)) (* v (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (/ (* (+ (* -1 (/ (* cosTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3)) (pow (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) 2)))) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))) (/ (* (pow cosTheta_O 2) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3)) (* (pow v 2) (pow (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 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1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (/ (* cosTheta_O (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* v (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (/ (* (+ (* -1 (/ (* cosTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3)) (pow (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) 2)))) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))) (/ (* (pow cosTheta_O 2) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3)) (* (pow v 2) (pow (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) 2)))))) (/ (* cosTheta_O (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* v (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))))) (/ (* (+ (* -1 (/ (* cosTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3)) (pow (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) 2)))) (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))
(pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3)
(+ (* cosTheta_i (+ (* 2 (/ (* cosTheta_O (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) v)) (/ (* cosTheta_O (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) v))) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3))
(+ (* cosTheta_i (+ (* 2 (/ (* cosTheta_O (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) v)) (+ (* cosTheta_i (+ (* 2 (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))) (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2)))) (/ (* cosTheta_O (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) v)))) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3))
(+ (* cosTheta_i (+ (* 2 (/ (* cosTheta_O (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) v)) (+ (* cosTheta_i (+ (* 2 (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))) (+ (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2)) (/ (* (pow cosTheta_O 3) cosTheta_i) (pow v 3))))) (/ (* cosTheta_O (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) v)))) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3))
(- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)
(+ (* 2 (/ (* cosTheta_O (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))
(+ (* cosTheta_i (+ (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (/ (* (pow cosTheta_O 2) cosTheta_i) (pow v 2)))) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))
(/ (pow (log (/ 1/2 v)) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))
(+ (* -1 (/ (* cosTheta_i (* (pow (log (/ 1/2 v)) 3) (+ (* -1 (/ (* cosTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))))) (pow (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) 2))) (/ (pow (log (/ 1/2 v)) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))
(+ (* cosTheta_i (- (* -1 (* cosTheta_i (+ (* -1 (/ (* (pow (log (/ 1/2 v)) 3) (pow (+ (* -1 (/ (* cosTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))) 2)) (pow (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) 3))) (/ (* (pow cosTheta_O 2) (pow (log (/ 1/2 v)) 3)) (* (pow v 2) (pow (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) 2)))))) (/ (* (pow (log (/ 1/2 v)) 3) (+ (* -1 (/ (* cosTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)))) (pow (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) 2)))) (/ (pow (log (/ 1/2 v)) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))
(+ (* cosTheta_i (- (* cosTheta_i (- (* -1 (* cosTheta_i (+ (* -1 (/ (* (+ (* -1 (/ (* cosTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))) (+ (* -1 (/ (* (pow (log (/ 1/2 v)) 3) (pow (+ (* -1 (/ (* cosTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))) 2)) (pow (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) 3))) (/ (* (pow cosTheta_O 2) (pow (log (/ 1/2 v)) 3)) (* (pow v 2) (pow (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) 2))))) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (* -1 (/ (* (pow cosTheta_O 2) (* (pow (log (/ 1/2 v)) 3) (+ (* -1 (/ (* cosTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))))) (* (pow v 2) (pow (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) 3))))))) (+ (* -1 (/ (* (pow (log (/ 1/2 v)) 3) (pow (+ (* -1 (/ (* cosTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))) 2)) (pow (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) 3))) (/ (* (pow cosTheta_O 2) (pow (log (/ 1/2 v)) 3)) (* (pow v 2) (pow (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) 2)))))) (/ (* (pow (log (/ 1/2 v)) 3) (+ (* -1 (/ (* cosTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)))) (pow (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) 2)))) (/ (pow (log (/ 1/2 v)) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))
(* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))
(* 2 (/ v (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
(exp (- (+ 6931/10000 (/ (* 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))))
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (+ (/ cosTheta_O v) (/ (log (/ 1/2 v)) cosTheta_i))) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(/ (exp (- (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000)))
(exp (- (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)) (/ (* sinTheta_O sinTheta_i) v)))
(* cosTheta_i (- (+ (/ cosTheta_O v) (/ (log (/ 1/2 v)) cosTheta_i)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))))
(exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))
(+ (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (/ (* (pow v 2) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (pow (log (/ 1/2 v)) 3))) (* (pow cosTheta_O 2) (pow cosTheta_i 2))))
(+ (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (+ (* -1 (/ (* (pow v 4) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (* (pow (log (/ 1/2 v)) 3) (+ (* -1 (/ (* cosTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)))))) (* (pow cosTheta_O 4) (pow cosTheta_i 3)))) (/ (* (pow v 2) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (pow (log (/ 1/2 v)) 3))) (* (pow cosTheta_O 2) (pow cosTheta_i 2)))))
(+ (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (+ (* -1 (/ (* (pow v 4) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (* (pow (log (/ 1/2 v)) 3) (+ (* -1 (/ (* cosTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)))))) (* (pow cosTheta_O 4) (pow cosTheta_i 3)))) (+ (/ (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (+ (* -1 (+ (* -1 (/ (* (pow v 6) (* (pow (log (/ 1/2 v)) 3) (pow (+ (* -1 (/ (* cosTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))) 2))) (pow cosTheta_O 6))) (/ (* (pow v 4) (* (pow (log (/ 1/2 v)) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (pow cosTheta_O 4)))) (* 1/2 (/ (* (pow v 4) (pow (log (/ 1/2 v)) 6)) (pow cosTheta_O 4))))) (pow cosTheta_i 4)) (/ (* (pow v 2) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (pow (log (/ 1/2 v)) 3))) (* (pow cosTheta_O 2) (pow cosTheta_i 2))))))
(* cosTheta_i (- (+ (/ cosTheta_O v) (/ (* (pow v 2) (+ (* 2 (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))) (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2)))) (* (pow cosTheta_O 2) cosTheta_i))) (/ (* v (+ (* -1 (/ (* cosTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)))) (* cosTheta_O cosTheta_i))))
(* cosTheta_i (- (+ (/ cosTheta_O v) (+ (/ (* (pow v 2) (+ (* 2 (/ (* cosTheta_O (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) v)) (/ (* cosTheta_O (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) v))) (* (pow cosTheta_O 2) (pow cosTheta_i 2))) (/ (* (pow v 2) (+ (* 2 (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))) (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2)))) (* (pow cosTheta_O 2) cosTheta_i)))) (+ (/ (* v (+ (* -1 (/ (* cosTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)))) (* cosTheta_O cosTheta_i)) (+ (/ (* v (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))) (* cosTheta_O (pow cosTheta_i 2))) (/ (* (pow v 2) (* (+ (* -1 (/ (* cosTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))) (- (/ (* (pow v 2) (+ (* 2 (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))) (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2)))) (pow cosTheta_O 2)) (/ (* v (+ (* -1 (/ (* cosTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)))) cosTheta_O)))) (* (pow cosTheta_O 2) (pow cosTheta_i 2)))))))
(* cosTheta_i (- (+ (/ cosTheta_O v) (+ (/ (* (pow v 2) (+ (* 2 (/ (* cosTheta_O (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) v)) (/ (* cosTheta_O (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) v))) (* (pow cosTheta_O 2) (pow cosTheta_i 2))) (+ (/ (* (pow v 2) (+ (* 2 (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))) (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2)))) (* (pow cosTheta_O 2) cosTheta_i)) (/ (* (pow v 2) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3)) (* (pow cosTheta_O 2) (pow cosTheta_i 3)))))) (+ (/ (* v (+ (* -1 (/ (* cosTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)))) (* cosTheta_O cosTheta_i)) (+ (/ (* v (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))) (* cosTheta_O (pow cosTheta_i 2))) (+ (/ (* (pow v 2) (* (+ (* -1 (/ (* cosTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))) (- (/ (* (pow v 2) (+ (* 2 (/ (* cosTheta_O (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) v)) (/ (* cosTheta_O (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) v))) (pow cosTheta_O 2)) (+ (/ (* v (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))) cosTheta_O) (/ (* (pow v 2) (* (+ (* -1 (/ (* cosTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))) (- (/ (* (pow v 2) (+ (* 2 (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))) (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2)))) (pow cosTheta_O 2)) (/ (* v (+ (* -1 (/ (* cosTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)))) cosTheta_O)))) (pow cosTheta_O 2)))))) (* (pow cosTheta_O 2) (pow cosTheta_i 3))) (+ (/ (* (pow v 2) (* (+ (* -1 (/ (* cosTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))) (- (/ (* (pow v 2) (+ (* 2 (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))) (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2)))) (pow cosTheta_O 2)) (/ (* v (+ (* -1 (/ (* cosTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)))) cosTheta_O)))) (* (pow cosTheta_O 2) (pow cosTheta_i 2))) (/ (* (pow v 2) (* (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (- (/ (* (pow v 2) (+ (* 2 (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))) (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2)))) (pow cosTheta_O 2)) (/ (* v (+ (* -1 (/ (* cosTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)))) cosTheta_O)))) (* (pow cosTheta_O 2) (pow cosTheta_i 3)))))))))
(/ (* (pow cosTheta_O 3) (pow cosTheta_i 3)) (pow v 3))
(* (pow cosTheta_i 3) (+ (* 2 (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (pow v 2)))) (+ (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (pow v 2))) (/ (pow cosTheta_O 3) (pow v 3)))))
(* (pow cosTheta_i 3) (+ (* 2 (/ (* cosTheta_O (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* (pow cosTheta_i 2) v))) (+ (* 2 (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (pow v 2)))) (+ (/ (* cosTheta_O (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* (pow cosTheta_i 2) v)) (+ (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (pow v 2))) (/ (pow cosTheta_O 3) (pow v 3)))))))
(* (pow cosTheta_i 3) (+ (* 2 (/ (* cosTheta_O (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* (pow cosTheta_i 2) v))) (+ (* 2 (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (pow v 2)))) (+ (/ (* cosTheta_O (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* (pow cosTheta_i 2) v)) (+ (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (pow v 2))) (+ (/ (pow cosTheta_O 3) (pow v 3)) (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (pow cosTheta_i 3))))))))
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v)) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(* cosTheta_i (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ cosTheta_O v)))
(/ (* (pow cosTheta_O 2) (pow cosTheta_i 2)) (pow v 2))
(* (pow cosTheta_i 2) (+ (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i v))) (/ (pow cosTheta_O 2) (pow v 2))))
(* (pow cosTheta_i 2) (+ (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i v))) (+ (/ (pow cosTheta_O 2) (pow v 2)) (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (pow cosTheta_i 2)))))
(/ (* (pow v 2) (pow (log (/ 1/2 v)) 3)) (* (pow cosTheta_O 2) (pow cosTheta_i 2)))
(/ (+ (* -1 (/ (* (pow v 4) (* (pow (log (/ 1/2 v)) 3) (+ (* -1 (/ (* cosTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))))) (* (pow cosTheta_O 4) cosTheta_i))) (/ (* (pow v 2) (pow (log (/ 1/2 v)) 3)) (pow cosTheta_O 2))) (pow cosTheta_i 2))
(/ (- (+ (* -1 (/ (+ (* -1 (/ (* (pow v 6) (* (pow (log (/ 1/2 v)) 3) (pow (+ (* -1 (/ (* cosTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))) 2))) (pow cosTheta_O 6))) (/ (* (pow v 4) (* (pow (log (/ 1/2 v)) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (pow cosTheta_O 4))) (pow cosTheta_i 2))) (/ (* (pow v 2) (pow (log (/ 1/2 v)) 3)) (pow cosTheta_O 2))) (/ (* (pow v 4) (* (pow (log (/ 1/2 v)) 3) (+ (* -1 (/ (* cosTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))))) (* (pow cosTheta_O 4) cosTheta_i))) (pow cosTheta_i 2))
(/ (- (+ (* -1 (/ (+ (* -1 (/ (* (pow v 2) (* (+ (* -1 (/ (* cosTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))) (+ (* -1 (/ (* (pow v 6) (* (pow (log (/ 1/2 v)) 3) (pow (+ (* -1 (/ (* cosTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))) 2))) (pow cosTheta_O 6))) (/ (* (pow v 4) (* (pow (log (/ 1/2 v)) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (pow cosTheta_O 4))))) (pow cosTheta_O 2))) (* -1 (/ (* (pow v 6) (* (pow (log (/ 1/2 v)) 3) (* (+ (* -1 (/ (* cosTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (pow cosTheta_O 6)))) (pow cosTheta_i 3))) (/ (* (pow v 2) (pow (log (/ 1/2 v)) 3)) (pow cosTheta_O 2))) (+ (* -1 (/ (* (pow v 6) (* (pow (log (/ 1/2 v)) 3) (pow (+ (* -1 (/ (* cosTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))) 2))) (* (pow cosTheta_O 6) (pow cosTheta_i 2)))) (+ (/ (* (pow v 4) (* (pow (log (/ 1/2 v)) 3) (+ (* -1 (/ (* cosTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))))) (* (pow cosTheta_O 4) cosTheta_i)) (/ (* (pow v 4) (* (pow (log (/ 1/2 v)) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (* (pow cosTheta_O 4) (pow cosTheta_i 2)))))) (pow cosTheta_i 2))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)) cosTheta_i)))))
(+ (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (+ (/ (* (pow v 2) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (pow (log (/ 1/2 v)) 3))) (* (pow cosTheta_O 2) (pow cosTheta_i 2))) (/ (* (pow v 4) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (* (pow (log (/ 1/2 v)) 3) (+ (* -2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (/ (* cosTheta_O (log (/ 1/2 v))) v))))) (* (pow cosTheta_O 4) (pow cosTheta_i 3)))))
(+ (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (+ (* -1 (/ (+ (* -1 (/ (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (+ (* -1 (+ (* -1 (/ (* (pow v 6) (* (pow (log (/ 1/2 v)) 3) (pow (+ (* -2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (/ (* cosTheta_O (log (/ 1/2 v))) v)) 2))) (pow cosTheta_O 6))) (/ (* (pow v 4) (* (pow (log (/ 1/2 v)) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (pow cosTheta_O 4)))) (* 1/2 (/ (* (pow v 4) (pow (log (/ 1/2 v)) 6)) (pow cosTheta_O 4))))) cosTheta_i)) (* -1 (/ (* (pow v 4) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (* (pow (log (/ 1/2 v)) 3) (+ (* -2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (/ (* cosTheta_O (log (/ 1/2 v))) v))))) (pow cosTheta_O 4)))) (pow cosTheta_i 3))) (/ (* (pow v 2) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (pow (log (/ 1/2 v)) 3))) (* (pow cosTheta_O 2) (pow cosTheta_i 2)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (/ (* (pow v 2) (+ (* 2 (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))) (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2)))) (pow cosTheta_O 2)) (* -1 (/ (* v (+ (* -2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (/ (* cosTheta_O (log (/ 1/2 v))) v))) cosTheta_O))) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ (* -1 (/ (- (/ (* (pow v 2) (+ (* -2 (/ (* cosTheta_O (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) v)) (* -1 (/ (* cosTheta_O (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) v)))) (pow cosTheta_O 2)) (+ (* -1 (/ (* v (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))) cosTheta_O)) (/ (* (pow v 2) (* (+ (* -2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (/ (* cosTheta_O (log (/ 1/2 v))) v)) (- (/ (* (pow v 2) (+ (* 2 (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))) (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2)))) (pow cosTheta_O 2)) (* -1 (/ (* v (+ (* -2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (/ (* cosTheta_O (log (/ 1/2 v))) v))) cosTheta_O))))) (pow cosTheta_O 2)))) cosTheta_i)) (/ (* (pow v 2) (+ (* 2 (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))) (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2)))) (pow cosTheta_O 2))) (* -1 (/ (* v (+ (* -2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (/ (* cosTheta_O (log (/ 1/2 v))) v))) cosTheta_O))) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (/ (* (pow v 2) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3)) (pow cosTheta_O 2)) (+ (/ (* (pow v 2) (* (+ (* -2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (/ (* cosTheta_O (log (/ 1/2 v))) v)) (- (/ (* (pow v 2) (+ (* -2 (/ (* cosTheta_O (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) v)) (* -1 (/ (* cosTheta_O (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) v)))) (pow cosTheta_O 2)) (+ (* -1 (/ (* v (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))) cosTheta_O)) (/ (* (pow v 2) (* (+ (* -2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (/ (* cosTheta_O (log (/ 1/2 v))) v)) (- (/ (* (pow v 2) (+ (* 2 (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))) (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2)))) (pow cosTheta_O 2)) (* -1 (/ (* v (+ (* -2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (/ (* cosTheta_O (log (/ 1/2 v))) v))) cosTheta_O))))) (pow cosTheta_O 2)))))) (pow cosTheta_O 2)) (/ (* (pow v 2) (* (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (- (/ (* (pow v 2) (+ (* 2 (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))) (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2)))) (pow cosTheta_O 2)) (* -1 (/ (* v (+ (* -2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (/ (* cosTheta_O (log (/ 1/2 v))) v))) cosTheta_O))))) (pow cosTheta_O 2)))) cosTheta_i)) (/ (* (pow v 2) (+ (* -2 (/ (* cosTheta_O (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) v)) (* -1 (/ (* cosTheta_O (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) v)))) (pow cosTheta_O 2))) (+ (* -1 (/ (* v (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))) cosTheta_O)) (/ (* (pow v 2) (* (+ (* -2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (/ (* cosTheta_O (log (/ 1/2 v))) v)) (- (/ (* (pow v 2) (+ (* 2 (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))) (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2)))) (pow cosTheta_O 2)) (* -1 (/ (* v (+ (* -2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (/ (* cosTheta_O (log (/ 1/2 v))) v))) cosTheta_O))))) (pow cosTheta_O 2)))) cosTheta_i)) (/ (* (pow v 2) (+ (* 2 (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))) (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2)))) (pow cosTheta_O 2))) (* -1 (/ (* v (+ (* -2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (/ (* cosTheta_O (log (/ 1/2 v))) v))) cosTheta_O))) cosTheta_i)))))
(* -1 (* (pow cosTheta_i 3) (+ (* -1 (/ (+ (* 2 (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))) (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))) cosTheta_i)) (* -1 (/ (pow cosTheta_O 3) (pow v 3))))))
(* -1 (* (pow cosTheta_i 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* cosTheta_O (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) v)) (* -1 (/ (* cosTheta_O (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) v))) cosTheta_i)) (+ (* 2 (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))) (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2)))) cosTheta_i)) (* -1 (/ (pow cosTheta_O 3) (pow v 3))))))
(* -1 (* (pow cosTheta_i 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* cosTheta_O (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) v)) (+ (* -1 (/ (* cosTheta_O (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) v)) (* -1 (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) cosTheta_i)))) cosTheta_i)) (+ (* 2 (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))) (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2)))) cosTheta_i)) (* -1 (/ (pow cosTheta_O 3) (pow v 3))))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(* (pow cosTheta_i 2) (+ (* -1 (/ (+ (* -2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* -1 (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) cosTheta_i))) cosTheta_i)) (/ (pow cosTheta_O 2) (pow v 2))))
(/ (+ (/ (* (pow v 2) (pow (log (/ 1/2 v)) 3)) (pow cosTheta_O 2)) (/ (* (pow v 4) (* (pow (log (/ 1/2 v)) 3) (+ (* -2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (/ (* cosTheta_O (log (/ 1/2 v))) v)))) (* (pow cosTheta_O 4) cosTheta_i))) (pow cosTheta_i 2))
(/ (+ (* -1 (/ (- (+ (* -1 (/ (* (pow v 6) (* (pow (log (/ 1/2 v)) 3) (pow (+ (* -2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (/ (* cosTheta_O (log (/ 1/2 v))) v)) 2))) (* (pow cosTheta_O 6) cosTheta_i))) (/ (* (pow v 4) (* (pow (log (/ 1/2 v)) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (* (pow cosTheta_O 4) cosTheta_i))) (/ (* (pow v 4) (* (pow (log (/ 1/2 v)) 3) (+ (* -2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (/ (* cosTheta_O (log (/ 1/2 v))) v)))) (pow cosTheta_O 4))) cosTheta_i)) (/ (* (pow v 2) (pow (log (/ 1/2 v)) 3)) (pow cosTheta_O 2))) (pow cosTheta_i 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (pow v 2) (* (+ (* -2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (/ (* cosTheta_O (log (/ 1/2 v))) v)) (+ (* -1 (/ (* (pow v 6) (* (pow (log (/ 1/2 v)) 3) (pow (+ (* -2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (/ (* cosTheta_O (log (/ 1/2 v))) v)) 2))) (pow cosTheta_O 6))) (/ (* (pow v 4) (* (pow (log (/ 1/2 v)) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (pow cosTheta_O 4))))) (* (pow cosTheta_O 2) cosTheta_i))) (* -1 (/ (* (pow v 6) (* (pow (log (/ 1/2 v)) 3) (* (+ (* -2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (/ (* cosTheta_O (log (/ 1/2 v))) v)) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (* (pow cosTheta_O 6) cosTheta_i)))) (+ (* -1 (/ (* (pow v 6) (* (pow (log (/ 1/2 v)) 3) (pow (+ (* -2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (/ (* cosTheta_O (log (/ 1/2 v))) v)) 2))) (pow cosTheta_O 6))) (/ (* (pow v 4) (* (pow (log (/ 1/2 v)) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (pow cosTheta_O 4)))) cosTheta_i)) (/ (* (pow v 4) (* (pow (log (/ 1/2 v)) 3) (+ (* -2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (/ (* cosTheta_O (log (/ 1/2 v))) v)))) (pow cosTheta_O 4))) cosTheta_i)) (/ (* (pow v 2) (pow (log (/ 1/2 v)) 3)) (pow cosTheta_O 2))) (pow cosTheta_i 2))
(+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* cosTheta_O (+ (* 1/4 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))))
(+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))) (* cosTheta_O (+ (* 1/12 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 4))) (* 1/4 (/ (* (pow cosTheta_i 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 3))))))))
(+ (* 2 (/ v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* cosTheta_O (+ (* -2 (* cosTheta_O (+ (* -1 (/ (pow cosTheta_i 2) (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* 1/2 (/ (pow cosTheta_i 2) (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))) (* -2 (/ cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))
(+ (* 2 (/ v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* cosTheta_O (+ (* -2 (/ cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* cosTheta_O (+ (* -2 (* cosTheta_O (+ (* -1 (/ (* cosTheta_i (+ (* -1 (/ (pow cosTheta_i 2) (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* 1/2 (/ (pow cosTheta_i 2) (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) v)) (+ (* -1/2 (/ (pow cosTheta_i 3) (* (pow v 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* 1/6 (/ (pow cosTheta_i 3) (* (pow v 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))))) (* -2 (+ (* -1 (/ (pow cosTheta_i 2) (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* 1/2 (/ (pow cosTheta_i 2) (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))))))))
(+ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(+ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_i (exp (- 6931/10000 (+ (/ 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))))
(+ (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))) (/ (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000)))))) (/ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000))))
(+ (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 3) (exp (- (/ 1 v) 6931/10000))))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))))) (/ (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000)))))) (/ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000))))
(+ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))) (/ (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) v))))
(+ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))))) (/ (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) v))))
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(+ (* -1 (/ (* cosTheta_O (* (pow (log (/ 1/2 v)) 3) (+ (* -1 (/ (* cosTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))))) (pow (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) 2))) (/ (pow (log (/ 1/2 v)) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))
(+ (* cosTheta_O (- (* -1 (* cosTheta_O (+ (* -1 (/ (* (pow (log (/ 1/2 v)) 3) (pow (+ (* -1 (/ (* cosTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))) 2)) (pow (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) 3))) (/ (* (pow cosTheta_i 2) (pow (log (/ 1/2 v)) 3)) (* (pow v 2) (pow (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) 2)))))) (/ (* (pow (log (/ 1/2 v)) 3) (+ (* -1 (/ (* cosTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)))) (pow (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) 2)))) (/ (pow (log (/ 1/2 v)) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))
(+ (* cosTheta_O (- (* cosTheta_O (- (* -1 (* cosTheta_O (+ (* -1 (/ (* (+ (* -1 (/ (* cosTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))) (+ (* -1 (/ (* (pow (log (/ 1/2 v)) 3) (pow (+ (* -1 (/ (* cosTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))) 2)) (pow (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) 3))) (/ (* (pow cosTheta_i 2) (pow (log (/ 1/2 v)) 3)) (* (pow v 2) (pow (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) 2))))) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (* -1 (/ (* (pow cosTheta_i 2) (* (pow (log (/ 1/2 v)) 3) (+ (* -1 (/ (* cosTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))))) (* (pow v 2) (pow (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) 3))))))) (+ (* -1 (/ (* (pow (log (/ 1/2 v)) 3) (pow (+ (* -1 (/ (* cosTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))) 2)) (pow (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) 3))) (/ (* (pow cosTheta_i 2) (pow (log (/ 1/2 v)) 3)) (* (pow v 2) (pow (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) 2)))))) (/ (* (pow (log (/ 1/2 v)) 3) (+ (* -1 (/ (* cosTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)))) (pow (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) 2)))) (/ (pow (log (/ 1/2 v)) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (+ (/ cosTheta_i v) (/ (log (/ 1/2 v)) cosTheta_O))) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(* cosTheta_O (- (+ (/ cosTheta_i v) (/ (log (/ 1/2 v)) cosTheta_O)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))))
(+ (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (+ (* -1 (/ (* (pow v 4) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (* (pow (log (/ 1/2 v)) 3) (+ (* -1 (/ (* cosTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)))))) (* (pow cosTheta_O 3) (pow cosTheta_i 4)))) (/ (* (pow v 2) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (pow (log (/ 1/2 v)) 3))) (* (pow cosTheta_O 2) (pow cosTheta_i 2)))))
(+ (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (+ (* -1 (/ (* (pow v 4) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (* (pow (log (/ 1/2 v)) 3) (+ (* -1 (/ (* cosTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)))))) (* (pow cosTheta_O 3) (pow cosTheta_i 4)))) (+ (/ (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (+ (* -1 (+ (* -1 (/ (* (pow v 6) (* (pow (log (/ 1/2 v)) 3) (pow (+ (* -1 (/ (* cosTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))) 2))) (pow cosTheta_i 6))) (/ (* (pow v 4) (* (pow (log (/ 1/2 v)) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (pow cosTheta_i 4)))) (* 1/2 (/ (* (pow v 4) (pow (log (/ 1/2 v)) 6)) (pow cosTheta_i 4))))) (pow cosTheta_O 4)) (/ (* (pow v 2) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (pow (log (/ 1/2 v)) 3))) (* (pow cosTheta_O 2) (pow cosTheta_i 2))))))
(* cosTheta_O (- (+ (/ cosTheta_i v) (/ (* (pow v 2) (+ (* 2 (/ (* (pow cosTheta_i 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))) (/ (* (pow cosTheta_i 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2)))) (* cosTheta_O (pow cosTheta_i 2)))) (/ (* v (+ (* -1 (/ (* cosTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)))) (* cosTheta_O cosTheta_i))))
(* cosTheta_O (- (+ (/ cosTheta_i v) (+ (/ (* (pow v 2) (+ (* 2 (/ (* cosTheta_i (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) v)) (/ (* cosTheta_i (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) v))) (* (pow cosTheta_O 2) (pow cosTheta_i 2))) (/ (* (pow v 2) (+ (* 2 (/ (* (pow cosTheta_i 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))) (/ (* (pow cosTheta_i 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2)))) (* cosTheta_O (pow cosTheta_i 2))))) (+ (/ (* v (+ (* -1 (/ (* cosTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)))) (* cosTheta_O cosTheta_i)) (+ (/ (* v (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))) (* (pow cosTheta_O 2) cosTheta_i)) (/ (* (pow v 2) (* (+ (* -1 (/ (* cosTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))) (- (/ (* (pow v 2) (+ (* 2 (/ (* (pow cosTheta_i 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))) (/ (* (pow cosTheta_i 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2)))) (pow cosTheta_i 2)) (/ (* v (+ (* -1 (/ (* cosTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)))) cosTheta_i)))) (* (pow cosTheta_O 2) (pow cosTheta_i 2)))))))
(* cosTheta_O (- (+ (/ cosTheta_i v) (+ (/ (* (pow v 2) (+ (* 2 (/ (* cosTheta_i (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) v)) (/ (* cosTheta_i (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) v))) (* (pow cosTheta_O 2) (pow cosTheta_i 2))) (+ (/ (* (pow v 2) (+ (* 2 (/ (* (pow cosTheta_i 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))) (/ (* (pow cosTheta_i 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2)))) (* cosTheta_O (pow cosTheta_i 2))) (/ (* (pow v 2) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3)) (* (pow cosTheta_O 3) (pow cosTheta_i 2)))))) (+ (/ (* v (+ (* -1 (/ (* cosTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)))) (* cosTheta_O cosTheta_i)) (+ (/ (* v (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))) (* (pow cosTheta_O 2) cosTheta_i)) (+ (/ (* (pow v 2) (* (+ (* -1 (/ (* cosTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))) (- (/ (* (pow v 2) (+ (* 2 (/ (* cosTheta_i (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) v)) (/ (* cosTheta_i (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) v))) (pow cosTheta_i 2)) (+ (/ (* v (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))) cosTheta_i) (/ (* (pow v 2) (* (+ (* -1 (/ (* cosTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))) (- (/ (* (pow v 2) (+ (* 2 (/ (* (pow cosTheta_i 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))) (/ (* (pow cosTheta_i 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2)))) (pow cosTheta_i 2)) (/ (* v (+ (* -1 (/ (* cosTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)))) cosTheta_i)))) (pow cosTheta_i 2)))))) (* (pow cosTheta_O 3) (pow cosTheta_i 2))) (+ (/ (* (pow v 2) (* (+ (* -1 (/ (* cosTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))) (- (/ (* (pow v 2) (+ (* 2 (/ (* (pow cosTheta_i 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))) (/ (* (pow cosTheta_i 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2)))) (pow cosTheta_i 2)) (/ (* v (+ (* -1 (/ (* cosTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)))) cosTheta_i)))) (* (pow cosTheta_O 2) (pow cosTheta_i 2))) (/ (* (pow v 2) (* (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (- (/ (* (pow v 2) (+ (* 2 (/ (* (pow cosTheta_i 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))) (/ (* (pow cosTheta_i 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2)))) (pow cosTheta_i 2)) (/ (* v (+ (* -1 (/ (* cosTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)))) cosTheta_i)))) (* (pow cosTheta_O 3) (pow cosTheta_i 2)))))))))
(* (pow cosTheta_O 3) (+ (* 2 (/ (* (pow cosTheta_i 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (pow v 2)))) (+ (/ (* (pow cosTheta_i 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (pow v 2))) (/ (pow cosTheta_i 3) (pow v 3)))))
(* (pow cosTheta_O 3) (+ (* 2 (/ (* cosTheta_i (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* (pow cosTheta_O 2) v))) (+ (* 2 (/ (* (pow cosTheta_i 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (pow v 2)))) (+ (/ (* cosTheta_i (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* (pow cosTheta_O 2) v)) (+ (/ (* (pow cosTheta_i 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (pow v 2))) (/ (pow cosTheta_i 3) (pow v 3)))))))
(* (pow cosTheta_O 3) (+ (* 2 (/ (* cosTheta_i (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* (pow cosTheta_O 2) v))) (+ (* 2 (/ (* (pow cosTheta_i 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (pow v 2)))) (+ (/ (* cosTheta_i (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* (pow cosTheta_O 2) v)) (+ (/ (* (pow cosTheta_i 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (pow v 2))) (+ (/ (pow cosTheta_i 3) (pow v 3)) (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (pow cosTheta_O 3))))))))
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v)) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(* cosTheta_O (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v)))
(* (pow cosTheta_O 2) (+ (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O v))) (/ (pow cosTheta_i 2) (pow v 2))))
(* (pow cosTheta_O 2) (+ (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O v))) (+ (/ (pow cosTheta_i 2) (pow v 2)) (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (pow cosTheta_O 2)))))
(/ (+ (* -1 (/ (* (pow v 4) (* (pow (log (/ 1/2 v)) 3) (+ (* -1 (/ (* cosTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))))) (* cosTheta_O (pow cosTheta_i 4)))) (/ (* (pow v 2) (pow (log (/ 1/2 v)) 3)) (pow cosTheta_i 2))) (pow cosTheta_O 2))
(/ (- (+ (* -1 (/ (+ (* -1 (/ (* (pow v 6) (* (pow (log (/ 1/2 v)) 3) (pow (+ (* -1 (/ (* cosTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))) 2))) (pow cosTheta_i 6))) (/ (* (pow v 4) (* (pow (log (/ 1/2 v)) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (pow cosTheta_i 4))) (pow cosTheta_O 2))) (/ (* (pow v 2) (pow (log (/ 1/2 v)) 3)) (pow cosTheta_i 2))) (/ (* (pow v 4) (* (pow (log (/ 1/2 v)) 3) (+ (* -1 (/ (* cosTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))))) (* cosTheta_O (pow cosTheta_i 4)))) (pow cosTheta_O 2))
(/ (- (+ (* -1 (/ (+ (* -1 (/ (* (pow v 2) (* (+ (* -1 (/ (* cosTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))) (+ (* -1 (/ (* (pow v 6) (* (pow (log (/ 1/2 v)) 3) (pow (+ (* -1 (/ (* cosTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))) 2))) (pow cosTheta_i 6))) (/ (* (pow v 4) (* (pow (log (/ 1/2 v)) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (pow cosTheta_i 4))))) (pow cosTheta_i 2))) (* -1 (/ (* (pow v 6) (* (pow (log (/ 1/2 v)) 3) (* (+ (* -1 (/ (* cosTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (pow cosTheta_i 6)))) (pow cosTheta_O 3))) (/ (* (pow v 2) (pow (log (/ 1/2 v)) 3)) (pow cosTheta_i 2))) (+ (* -1 (/ (* (pow v 6) (* (pow (log (/ 1/2 v)) 3) (pow (+ (* -1 (/ (* cosTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))) 2))) (* (pow cosTheta_O 2) (pow cosTheta_i 6)))) (+ (/ (* (pow v 4) (* (pow (log (/ 1/2 v)) 3) (+ (* -1 (/ (* cosTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))))) (* cosTheta_O (pow cosTheta_i 4))) (/ (* (pow v 4) (* (pow (log (/ 1/2 v)) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (* (pow cosTheta_O 2) (pow cosTheta_i 4)))))) (pow cosTheta_O 2))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)) cosTheta_O)))))
(+ (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (+ (/ (* (pow v 2) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (pow (log (/ 1/2 v)) 3))) (* (pow cosTheta_O 2) (pow cosTheta_i 2))) (/ (* (pow v 4) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (* (pow (log (/ 1/2 v)) 3) (+ (* -2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (/ (* cosTheta_i (log (/ 1/2 v))) v))))) (* (pow cosTheta_O 3) (pow cosTheta_i 4)))))
(+ (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (+ (* -1 (/ (+ (* -1 (/ (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (+ (* -1 (+ (* -1 (/ (* (pow v 6) (* (pow (log (/ 1/2 v)) 3) (pow (+ (* -2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (/ (* cosTheta_i (log (/ 1/2 v))) v)) 2))) (pow cosTheta_i 6))) (/ (* (pow v 4) (* (pow (log (/ 1/2 v)) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (pow cosTheta_i 4)))) (* 1/2 (/ (* (pow v 4) (pow (log (/ 1/2 v)) 6)) (pow cosTheta_i 4))))) cosTheta_O)) (* -1 (/ (* (pow v 4) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (* (pow (log (/ 1/2 v)) 3) (+ (* -2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (/ (* cosTheta_i (log (/ 1/2 v))) v))))) (pow cosTheta_i 4)))) (pow cosTheta_O 3))) (/ (* (pow v 2) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (pow (log (/ 1/2 v)) 3))) (* (pow cosTheta_O 2) (pow cosTheta_i 2)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (/ (* (pow v 2) (+ (* 2 (/ (* (pow cosTheta_i 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))) (/ (* (pow cosTheta_i 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2)))) (pow cosTheta_i 2)) (* -1 (/ (* v (+ (* -2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (/ (* cosTheta_i (log (/ 1/2 v))) v))) cosTheta_i))) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ (* -1 (/ (- (/ (* (pow v 2) (+ (* -2 (/ (* cosTheta_i (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) v)) (* -1 (/ (* cosTheta_i (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) v)))) (pow cosTheta_i 2)) (+ (* -1 (/ (* v (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))) cosTheta_i)) (/ (* (pow v 2) (* (+ (* -2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (/ (* cosTheta_i (log (/ 1/2 v))) v)) (- (/ (* (pow v 2) (+ (* 2 (/ (* (pow cosTheta_i 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))) (/ (* (pow cosTheta_i 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2)))) (pow cosTheta_i 2)) (* -1 (/ (* v (+ (* -2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (/ (* cosTheta_i (log (/ 1/2 v))) v))) cosTheta_i))))) (pow cosTheta_i 2)))) cosTheta_O)) (/ (* (pow v 2) (+ (* 2 (/ (* (pow cosTheta_i 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))) (/ (* (pow cosTheta_i 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2)))) (pow cosTheta_i 2))) (* -1 (/ (* v (+ (* -2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (/ (* cosTheta_i (log (/ 1/2 v))) v))) cosTheta_i))) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (/ (* (pow v 2) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3)) (pow cosTheta_i 2)) (+ (/ (* (pow v 2) (* (+ (* -2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (/ (* cosTheta_i (log (/ 1/2 v))) v)) (- (/ (* (pow v 2) (+ (* -2 (/ (* cosTheta_i (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) v)) (* -1 (/ (* cosTheta_i (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) v)))) (pow cosTheta_i 2)) (+ (* -1 (/ (* v (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))) cosTheta_i)) (/ (* (pow v 2) (* (+ (* -2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (/ (* cosTheta_i (log (/ 1/2 v))) v)) (- (/ (* (pow v 2) (+ (* 2 (/ (* (pow cosTheta_i 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))) (/ (* (pow cosTheta_i 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2)))) (pow cosTheta_i 2)) (* -1 (/ (* v (+ (* -2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (/ (* cosTheta_i (log (/ 1/2 v))) v))) cosTheta_i))))) (pow cosTheta_i 2)))))) (pow cosTheta_i 2)) (/ (* (pow v 2) (* (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (- (/ (* (pow v 2) (+ (* 2 (/ (* (pow cosTheta_i 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))) (/ (* (pow cosTheta_i 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2)))) (pow cosTheta_i 2)) (* -1 (/ (* v (+ (* -2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (/ (* cosTheta_i (log (/ 1/2 v))) v))) cosTheta_i))))) (pow cosTheta_i 2)))) cosTheta_O)) (/ (* (pow v 2) (+ (* -2 (/ (* cosTheta_i (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) v)) (* -1 (/ (* cosTheta_i (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) v)))) (pow cosTheta_i 2))) (+ (* -1 (/ (* v (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))) cosTheta_i)) (/ (* (pow v 2) (* (+ (* -2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (/ (* cosTheta_i (log (/ 1/2 v))) v)) (- (/ (* (pow v 2) (+ (* 2 (/ (* (pow cosTheta_i 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))) (/ (* (pow cosTheta_i 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2)))) (pow cosTheta_i 2)) (* -1 (/ (* v (+ (* -2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (/ (* cosTheta_i (log (/ 1/2 v))) v))) cosTheta_i))))) (pow cosTheta_i 2)))) cosTheta_O)) (/ (* (pow v 2) (+ (* 2 (/ (* (pow cosTheta_i 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))) (/ (* (pow cosTheta_i 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2)))) (pow cosTheta_i 2))) (* -1 (/ (* v (+ (* -2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (/ (* cosTheta_i (log (/ 1/2 v))) v))) cosTheta_i))) cosTheta_O)))))
(* -1 (* (pow cosTheta_O 3) (+ (* -1 (/ (+ (* 2 (/ (* (pow cosTheta_i 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))) (/ (* (pow cosTheta_i 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))) cosTheta_O)) (* -1 (/ (pow cosTheta_i 3) (pow v 3))))))
(* -1 (* (pow cosTheta_O 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* cosTheta_i (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) v)) (* -1 (/ (* cosTheta_i (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) v))) cosTheta_O)) (+ (* 2 (/ (* (pow cosTheta_i 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))) (/ (* (pow cosTheta_i 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2)))) cosTheta_O)) (* -1 (/ (pow cosTheta_i 3) (pow v 3))))))
(* -1 (* (pow cosTheta_O 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* cosTheta_i (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) v)) (+ (* -1 (/ (* cosTheta_i (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) v)) (* -1 (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) cosTheta_O)))) cosTheta_O)) (+ (* 2 (/ (* (pow cosTheta_i 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))) (/ (* (pow cosTheta_i 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2)))) cosTheta_O)) (* -1 (/ (pow cosTheta_i 3) (pow v 3))))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(* (pow cosTheta_O 2) (+ (* -1 (/ (+ (* -2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* -1 (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) cosTheta_O))) cosTheta_O)) (/ (pow cosTheta_i 2) (pow v 2))))
(/ (+ (/ (* (pow v 2) (pow (log (/ 1/2 v)) 3)) (pow cosTheta_i 2)) (/ (* (pow v 4) (* (pow (log (/ 1/2 v)) 3) (+ (* -2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (/ (* cosTheta_i (log (/ 1/2 v))) v)))) (* cosTheta_O (pow cosTheta_i 4)))) (pow cosTheta_O 2))
(/ (+ (* -1 (/ (- (+ (* -1 (/ (* (pow v 6) (* (pow (log (/ 1/2 v)) 3) (pow (+ (* -2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (/ (* cosTheta_i (log (/ 1/2 v))) v)) 2))) (* cosTheta_O (pow cosTheta_i 6)))) (/ (* (pow v 4) (* (pow (log (/ 1/2 v)) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (* cosTheta_O (pow cosTheta_i 4)))) (/ (* (pow v 4) (* (pow (log (/ 1/2 v)) 3) (+ (* -2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (/ (* cosTheta_i (log (/ 1/2 v))) v)))) (pow cosTheta_i 4))) cosTheta_O)) (/ (* (pow v 2) (pow (log (/ 1/2 v)) 3)) (pow cosTheta_i 2))) (pow cosTheta_O 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (pow v 2) (* (+ (* -2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (/ (* cosTheta_i (log (/ 1/2 v))) v)) (+ (* -1 (/ (* (pow v 6) (* (pow (log (/ 1/2 v)) 3) (pow (+ (* -2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (/ (* cosTheta_i (log (/ 1/2 v))) v)) 2))) (pow cosTheta_i 6))) (/ (* (pow v 4) (* (pow (log (/ 1/2 v)) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (pow cosTheta_i 4))))) (* cosTheta_O (pow cosTheta_i 2)))) (* -1 (/ (* (pow v 6) (* (pow (log (/ 1/2 v)) 3) (* (+ (* -2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (/ (* cosTheta_i (log (/ 1/2 v))) v)) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (* cosTheta_O (pow cosTheta_i 6))))) (+ (* -1 (/ (* (pow v 6) (* (pow (log (/ 1/2 v)) 3) (pow (+ (* -2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (/ (* cosTheta_i (log (/ 1/2 v))) v)) 2))) (pow cosTheta_i 6))) (/ (* (pow v 4) (* (pow (log (/ 1/2 v)) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (pow cosTheta_i 4)))) cosTheta_O)) (/ (* (pow v 4) (* (pow (log (/ 1/2 v)) 3) (+ (* -2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (/ (* cosTheta_i (log (/ 1/2 v))) v)))) (pow cosTheta_i 4))) cosTheta_O)) (/ (* (pow v 2) (pow (log (/ 1/2 v)) 3)) (pow cosTheta_i 2))) (pow cosTheta_O 2))
(* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v))
(+ (* -1/2 (/ (* sinTheta_O (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (pow v 2))) (* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)))
(+ (* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (* sinTheta_i (+ (* -1/2 (/ (* sinTheta_O (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) (pow v 2))) (* 1/4 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (pow v 3))))))
(+ (* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (* sinTheta_i (+ (* -1/2 (/ (* sinTheta_O (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) (pow v 2))) (* sinTheta_i (+ (* -1/12 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (pow v 4))) (* 1/4 (/ (* (pow sinTheta_O 2) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) (pow v 3))))))))
(* 2 (/ v (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))))
(+ (* 2 (/ v (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (* 2 (/ (* sinTheta_O sinTheta_i) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))))
(+ (* 2 (/ v (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (* sinTheta_i (+ (* -2 (* sinTheta_i (+ (* -1 (/ (pow sinTheta_O 2) (* v (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))))) (* 1/2 (/ (pow sinTheta_O 2) (* v (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))))))) (* 2 (/ sinTheta_O (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))))))
(+ (* 2 (/ v (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (* sinTheta_i (+ (* 2 (/ sinTheta_O (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (* sinTheta_i (+ (* -2 (* sinTheta_i (+ (* -1/6 (/ (pow sinTheta_O 3) (* (pow v 2) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))))) (+ (* 1/2 (/ (pow sinTheta_O 3) (* (pow v 2) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))))) (/ (* sinTheta_O (+ (* -1 (/ (pow sinTheta_O 2) (* v (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))))) (* 1/2 (/ (pow sinTheta_O 2) (* v (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))))))) v))))) (* -2 (+ (* -1 (/ (pow sinTheta_O 2) (* v (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))))) (* 1/2 (/ (pow sinTheta_O 2) (* v (exp (- (+ 6931/10000 (/ (* 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 (+ (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))))))))
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))
(- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))
(/ (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (exp (- (/ 1 v) 6931/10000)))
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(+ (* sinTheta_i (+ (* -2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2))
(/ (pow (log (/ 1/2 v)) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)))
(+ (* -1 (/ (* sinTheta_i (* (pow (log (/ 1/2 v)) 3) (+ (* -2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_O (log (/ 1/2 v))) v)))) (pow (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) 2))) (/ (pow (log (/ 1/2 v)) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2))))
(+ (* sinTheta_i (- (* -1 (* sinTheta_i (+ (* -1 (/ (* (pow (log (/ 1/2 v)) 3) (pow (+ (* -2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_O (log (/ 1/2 v))) v)) 2)) (pow (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) 3))) (/ (* (pow sinTheta_O 2) (pow (log (/ 1/2 v)) 3)) (* (pow v 2) (pow (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) 2)))))) (/ (* (pow (log (/ 1/2 v)) 3) (+ (* -2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_O (log (/ 1/2 v))) v))) (pow (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) 2)))) (/ (pow (log (/ 1/2 v)) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2))))
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(* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ (log (/ 1/2 v)) sinTheta_i) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (log (/ 1/2 v)) sinTheta_i)) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(* sinTheta_i (- (+ (/ (log (/ 1/2 v)) sinTheta_i) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ sinTheta_O v)))
(+ (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (/ (* (pow v 2) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (pow (log (/ 1/2 v)) 3))) (* (pow sinTheta_O 2) (pow sinTheta_i 2))))
(+ (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (+ (* -1 (/ (* (pow v 4) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (* (pow (log (/ 1/2 v)) 3) (+ (* -2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_O (log (/ 1/2 v))) v))))) (* (pow sinTheta_O 4) (pow sinTheta_i 3)))) (/ (* (pow v 2) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (pow (log (/ 1/2 v)) 3))) (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))
(+ (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (+ (* -1 (/ (* (pow v 4) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (* (pow (log (/ 1/2 v)) 3) (+ (* -2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_O (log (/ 1/2 v))) v))))) (* (pow sinTheta_O 4) (pow sinTheta_i 3)))) (+ (/ (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (+ (* -1 (+ (* -1 (/ (* (pow v 6) (* (pow (log (/ 1/2 v)) 3) (pow (+ (* -2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_O (log (/ 1/2 v))) v)) 2))) (pow sinTheta_O 6))) (/ (* (pow v 4) (* (pow (log (/ 1/2 v)) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)))) (pow sinTheta_O 4)))) (* 1/2 (/ (* (pow v 4) (pow (log (/ 1/2 v)) 6)) (pow sinTheta_O 4))))) (pow sinTheta_i 4)) (/ (* (pow v 2) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (pow (log (/ 1/2 v)) 3))) (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))
(* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (/ (* (pow v 2) (+ (* 2 (/ (* (pow sinTheta_O 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2))) (/ (* (pow sinTheta_O 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2)))) (* (pow sinTheta_O 2) sinTheta_i))) (* -1 (/ (* v (+ (* -2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_O (log (/ 1/2 v))) v))) (* sinTheta_O sinTheta_i)))))
(* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (+ (/ (* (pow v 2) (+ (* -2 (/ (* sinTheta_O (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) v)) (* -1 (/ (* sinTheta_O (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) v)))) (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (/ (* (pow v 2) (+ (* 2 (/ (* (pow sinTheta_O 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2))) (/ (* (pow sinTheta_O 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2)))) (* (pow sinTheta_O 2) sinTheta_i)))) (+ (* -1 (/ (* v (+ (* -2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_O (log (/ 1/2 v))) v))) (* sinTheta_O sinTheta_i))) (+ (* -1 (/ (* v (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2))) (* sinTheta_O (pow sinTheta_i 2)))) (/ (* (pow v 2) (* (+ (* -2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_O (log (/ 1/2 v))) v)) (- (/ (* (pow v 2) (+ (* 2 (/ (* (pow sinTheta_O 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2))) (/ (* (pow sinTheta_O 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2)))) (pow sinTheta_O 2)) (* -1 (/ (* v (+ (* -2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_O (log (/ 1/2 v))) v))) sinTheta_O))))) (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))
(* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (+ (/ (* (pow v 2) (+ (* -2 (/ (* sinTheta_O (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) v)) (* -1 (/ (* sinTheta_O (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) v)))) (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (+ (/ (* (pow v 2) (+ (* 2 (/ (* (pow sinTheta_O 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2))) (/ (* (pow sinTheta_O 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2)))) (* (pow sinTheta_O 2) sinTheta_i)) (/ (* (pow v 2) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 3)) (* (pow sinTheta_O 2) (pow sinTheta_i 3)))))) (+ (* -1 (/ (* v (+ (* -2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_O (log (/ 1/2 v))) v))) (* sinTheta_O sinTheta_i))) (+ (* -1 (/ (* v (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2))) (* sinTheta_O (pow sinTheta_i 2)))) (+ (/ (* (pow v 2) (* (+ (* -2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_O (log (/ 1/2 v))) v)) (- (/ (* (pow v 2) (+ (* -2 (/ (* sinTheta_O (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) v)) (* -1 (/ (* sinTheta_O (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) v)))) (pow sinTheta_O 2)) (+ (* -1 (/ (* v (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2))) sinTheta_O)) (/ (* (pow v 2) (* (+ (* -2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_O (log (/ 1/2 v))) v)) (- (/ (* (pow v 2) (+ (* 2 (/ (* (pow sinTheta_O 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2))) (/ (* (pow sinTheta_O 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2)))) (pow sinTheta_O 2)) (* -1 (/ (* v (+ (* -2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_O (log (/ 1/2 v))) v))) sinTheta_O))))) (pow sinTheta_O 2)))))) (* (pow sinTheta_O 2) (pow sinTheta_i 3))) (+ (/ (* (pow v 2) (* (+ (* -2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_O (log (/ 1/2 v))) v)) (- (/ (* (pow v 2) (+ (* 2 (/ (* (pow sinTheta_O 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2))) (/ (* (pow sinTheta_O 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2)))) (pow sinTheta_O 2)) (* -1 (/ (* v (+ (* -2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_O (log (/ 1/2 v))) v))) sinTheta_O))))) (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (/ (* (pow v 2) (* (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (- (/ (* (pow v 2) (+ (* 2 (/ (* (pow sinTheta_O 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2))) (/ (* (pow sinTheta_O 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2)))) (pow sinTheta_O 2)) (* -1 (/ (* v (+ (* -2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_O (log (/ 1/2 v))) v))) sinTheta_O))))) (* (pow sinTheta_O 2) (pow sinTheta_i 3)))))))))
(* -1 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (pow v 3)))
(* (pow sinTheta_i 3) (+ (* -1 (/ (pow sinTheta_O 3) (pow v 3))) (+ (* 2 (/ (* (pow sinTheta_O 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_i (pow v 2)))) (/ (* (pow sinTheta_O 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_i (pow v 2))))))
(* (pow sinTheta_i 3) (+ (* -2 (/ (* sinTheta_O (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* (pow sinTheta_i 2) v))) (+ (* -1 (/ (* sinTheta_O (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* (pow sinTheta_i 2) v))) (+ (* -1 (/ (pow sinTheta_O 3) (pow v 3))) (+ (* 2 (/ (* (pow sinTheta_O 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_i (pow v 2)))) (/ (* (pow sinTheta_O 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_i (pow v 2))))))))
(* (pow sinTheta_i 3) (+ (* -2 (/ (* sinTheta_O (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* (pow sinTheta_i 2) v))) (+ (* -1 (/ (* sinTheta_O (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* (pow sinTheta_i 2) v))) (+ (* -1 (/ (pow sinTheta_O 3) (pow v 3))) (+ (* 2 (/ (* (pow sinTheta_O 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_i (pow v 2)))) (+ (/ (* (pow sinTheta_O 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_i (pow v 2))) (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 3) (pow sinTheta_i 3))))))))
(* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))
(/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))
(* (pow sinTheta_i 2) (+ (* -2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_i v))) (/ (pow sinTheta_O 2) (pow v 2))))
(* (pow sinTheta_i 2) (+ (* -2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_i v))) (+ (/ (pow sinTheta_O 2) (pow v 2)) (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2) (pow sinTheta_i 2)))))
(/ (* (pow v 2) (pow (log (/ 1/2 v)) 3)) (* (pow sinTheta_O 2) (pow sinTheta_i 2)))
(/ (+ (* -1 (/ (* (pow v 4) (* (pow (log (/ 1/2 v)) 3) (+ (* -2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_O (log (/ 1/2 v))) v)))) (* (pow sinTheta_O 4) sinTheta_i))) (/ (* (pow v 2) (pow (log (/ 1/2 v)) 3)) (pow sinTheta_O 2))) (pow sinTheta_i 2))
(/ (- (+ (* -1 (/ (+ (* -1 (/ (* (pow v 6) (* (pow (log (/ 1/2 v)) 3) (pow (+ (* -2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_O (log (/ 1/2 v))) v)) 2))) (pow sinTheta_O 6))) (/ (* (pow v 4) (* (pow (log (/ 1/2 v)) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)))) (pow sinTheta_O 4))) (pow sinTheta_i 2))) (/ (* (pow v 2) (pow (log (/ 1/2 v)) 3)) (pow sinTheta_O 2))) (/ (* (pow v 4) (* (pow (log (/ 1/2 v)) 3) (+ (* -2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_O (log (/ 1/2 v))) v)))) (* (pow sinTheta_O 4) sinTheta_i))) (pow sinTheta_i 2))
(/ (- (+ (* -1 (/ (+ (* -1 (/ (* (pow v 2) (* (+ (* -2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_O (log (/ 1/2 v))) v)) (+ (* -1 (/ (* (pow v 6) (* (pow (log (/ 1/2 v)) 3) (pow (+ (* -2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_O (log (/ 1/2 v))) v)) 2))) (pow sinTheta_O 6))) (/ (* (pow v 4) (* (pow (log (/ 1/2 v)) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)))) (pow sinTheta_O 4))))) (pow sinTheta_O 2))) (* -1 (/ (* (pow v 6) (* (pow (log (/ 1/2 v)) 3) (* (+ (* -2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_O (log (/ 1/2 v))) v)) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2))))) (pow sinTheta_O 6)))) (pow sinTheta_i 3))) (/ (* (pow v 2) (pow (log (/ 1/2 v)) 3)) (pow sinTheta_O 2))) (+ (* -1 (/ (* (pow v 6) (* (pow (log (/ 1/2 v)) 3) (pow (+ (* -2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_O (log (/ 1/2 v))) v)) 2))) (* (pow sinTheta_O 6) (pow sinTheta_i 2)))) (+ (/ (* (pow v 4) (* (pow (log (/ 1/2 v)) 3) (+ (* -2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_O (log (/ 1/2 v))) v)))) (* (pow sinTheta_O 4) sinTheta_i)) (/ (* (pow v 4) (* (pow (log (/ 1/2 v)) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)))) (* (pow sinTheta_O 4) (pow sinTheta_i 2)))))) (pow sinTheta_i 2))
(* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(* -1 (* sinTheta_i (- (* -1 (/ (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(+ (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (+ (/ (* (pow v 2) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (pow (log (/ 1/2 v)) 3))) (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (/ (* (pow v 4) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (* (pow (log (/ 1/2 v)) 3) (+ (* -1 (/ (* sinTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)))))) (* (pow sinTheta_O 4) (pow sinTheta_i 3)))))
(+ (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (+ (* -1 (/ (+ (* -1 (/ (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (+ (* -1 (+ (* -1 (/ (* (pow v 6) (* (pow (log (/ 1/2 v)) 3) (pow (+ (* -1 (/ (* sinTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v))) 2))) (pow sinTheta_O 6))) (/ (* (pow v 4) (* (pow (log (/ 1/2 v)) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)))) (pow sinTheta_O 4)))) (* 1/2 (/ (* (pow v 4) (pow (log (/ 1/2 v)) 6)) (pow sinTheta_O 4))))) sinTheta_i)) (* -1 (/ (* (pow v 4) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (* (pow (log (/ 1/2 v)) 3) (+ (* -1 (/ (* sinTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)))))) (pow sinTheta_O 4)))) (pow sinTheta_i 3))) (/ (* (pow v 2) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (pow (log (/ 1/2 v)) 3))) (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))
(* -1 (* sinTheta_i (+ (* -1 (/ (- (/ (* (pow v 2) (+ (* 2 (/ (* (pow sinTheta_O 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2))) (/ (* (pow sinTheta_O 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2)))) (pow sinTheta_O 2)) (/ (* v (+ (* -1 (/ (* sinTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)))) sinTheta_O)) sinTheta_i)) (/ sinTheta_O v))))
(* -1 (* sinTheta_i (+ (* -1 (/ (- (+ (* -1 (/ (- (/ (* (pow v 2) (+ (* 2 (/ (* sinTheta_O (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) v)) (/ (* sinTheta_O (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) v))) (pow sinTheta_O 2)) (+ (/ (* v (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2))) sinTheta_O) (/ (* (pow v 2) (* (+ (* -1 (/ (* sinTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v))) (- (/ (* (pow v 2) (+ (* 2 (/ (* (pow sinTheta_O 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2))) (/ (* (pow sinTheta_O 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2)))) (pow sinTheta_O 2)) (/ (* v (+ (* -1 (/ (* sinTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)))) sinTheta_O)))) (pow sinTheta_O 2)))) sinTheta_i)) (/ (* (pow v 2) (+ (* 2 (/ (* (pow sinTheta_O 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2))) (/ (* (pow sinTheta_O 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2)))) (pow sinTheta_O 2))) (/ (* v (+ (* -1 (/ (* sinTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)))) sinTheta_O)) sinTheta_i)) (/ sinTheta_O v))))
(* -1 (* sinTheta_i (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (/ (* (pow v 2) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 3)) (pow sinTheta_O 2)) (+ (/ (* (pow v 2) (* (+ (* -1 (/ (* sinTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v))) (- (/ (* (pow v 2) (+ (* 2 (/ (* sinTheta_O (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) v)) (/ (* sinTheta_O (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) v))) (pow sinTheta_O 2)) (+ (/ (* v (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2))) sinTheta_O) (/ (* (pow v 2) (* (+ (* -1 (/ (* sinTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v))) (- (/ (* (pow v 2) (+ (* 2 (/ (* (pow sinTheta_O 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2))) (/ (* (pow sinTheta_O 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2)))) (pow sinTheta_O 2)) (/ (* v (+ (* -1 (/ (* sinTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)))) sinTheta_O)))) (pow sinTheta_O 2)))))) (pow sinTheta_O 2)) (/ (* (pow v 2) (* (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (- (/ (* (pow v 2) (+ (* 2 (/ (* (pow sinTheta_O 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2))) (/ (* (pow sinTheta_O 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2)))) (pow sinTheta_O 2)) (/ (* v (+ (* -1 (/ (* sinTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)))) sinTheta_O)))) (pow sinTheta_O 2)))) sinTheta_i)) (/ (* (pow v 2) (+ (* 2 (/ (* sinTheta_O (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) v)) (/ (* sinTheta_O (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) v))) (pow sinTheta_O 2))) (+ (/ (* v (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2))) sinTheta_O) (/ (* (pow v 2) (* (+ (* -1 (/ (* sinTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v))) (- (/ (* (pow v 2) (+ (* 2 (/ (* (pow sinTheta_O 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2))) (/ (* (pow sinTheta_O 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2)))) (pow sinTheta_O 2)) (/ (* v (+ (* -1 (/ (* sinTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)))) sinTheta_O)))) (pow sinTheta_O 2)))) sinTheta_i)) (/ (* (pow v 2) (+ (* 2 (/ (* (pow sinTheta_O 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2))) (/ (* (pow sinTheta_O 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2)))) (pow sinTheta_O 2))) (/ (* v (+ (* -1 (/ (* sinTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)))) sinTheta_O)) sinTheta_i)) (/ sinTheta_O v))))
(* -1 (* (pow sinTheta_i 3) (+ (* -1 (/ (+ (* 2 (/ (* (pow sinTheta_O 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2))) (/ (* (pow sinTheta_O 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2))) sinTheta_i)) (/ (pow sinTheta_O 3) (pow v 3)))))
(* -1 (* (pow sinTheta_i 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* 2 (/ (* sinTheta_O (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) v)) (/ (* sinTheta_O (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) v)) sinTheta_i)) (+ (* 2 (/ (* (pow sinTheta_O 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2))) (/ (* (pow sinTheta_O 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2)))) sinTheta_i)) (/ (pow sinTheta_O 3) (pow v 3)))))
(* -1 (* (pow sinTheta_i 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 3) sinTheta_i)) (+ (* 2 (/ (* sinTheta_O (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) v)) (/ (* sinTheta_O (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) v))) sinTheta_i)) (+ (* 2 (/ (* (pow sinTheta_O 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2))) (/ (* (pow sinTheta_O 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2)))) sinTheta_i)) (/ (pow sinTheta_O 3) (pow v 3)))))
(* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ sinTheta_O v))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1 (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2) sinTheta_i)) (* 2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v))) sinTheta_i)) (/ (pow sinTheta_O 2) (pow v 2))))
(/ (+ (/ (* (pow v 2) (pow (log (/ 1/2 v)) 3)) (pow sinTheta_O 2)) (/ (* (pow v 4) (* (pow (log (/ 1/2 v)) 3) (+ (* -1 (/ (* sinTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v))))) (* (pow sinTheta_O 4) sinTheta_i))) (pow sinTheta_i 2))
(/ (+ (* -1 (/ (- (+ (* -1 (/ (* (pow v 6) (* (pow (log (/ 1/2 v)) 3) (pow (+ (* -1 (/ (* sinTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v))) 2))) (* (pow sinTheta_O 6) sinTheta_i))) (/ (* (pow v 4) (* (pow (log (/ 1/2 v)) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)))) (* (pow sinTheta_O 4) sinTheta_i))) (/ (* (pow v 4) (* (pow (log (/ 1/2 v)) 3) (+ (* -1 (/ (* sinTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v))))) (pow sinTheta_O 4))) sinTheta_i)) (/ (* (pow v 2) (pow (log (/ 1/2 v)) 3)) (pow sinTheta_O 2))) (pow sinTheta_i 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (pow v 2) (* (+ (* -1 (/ (* sinTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v))) (+ (* -1 (/ (* (pow v 6) (* (pow (log (/ 1/2 v)) 3) (pow (+ (* -1 (/ (* sinTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v))) 2))) (pow sinTheta_O 6))) (/ (* (pow v 4) (* (pow (log (/ 1/2 v)) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)))) (pow sinTheta_O 4))))) (* (pow sinTheta_O 2) sinTheta_i))) (* -1 (/ (* (pow v 6) (* (pow (log (/ 1/2 v)) 3) (* (+ (* -1 (/ (* sinTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v))) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2))))) (* (pow sinTheta_O 6) sinTheta_i)))) (+ (* -1 (/ (* (pow v 6) (* (pow (log (/ 1/2 v)) 3) (pow (+ (* -1 (/ (* sinTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v))) 2))) (pow sinTheta_O 6))) (/ (* (pow v 4) (* (pow (log (/ 1/2 v)) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)))) (pow sinTheta_O 4)))) sinTheta_i)) (/ (* (pow v 4) (* (pow (log (/ 1/2 v)) 3) (+ (* -1 (/ (* sinTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v))))) (pow sinTheta_O 4))) sinTheta_i)) (/ (* (pow v 2) (pow (log (/ 1/2 v)) 3)) (pow sinTheta_O 2))) (pow sinTheta_i 2))
(+ (* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (* sinTheta_O (+ (* -1/2 (/ (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) (pow v 2))) (* 1/4 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (pow v 3))))))
(+ (* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (* sinTheta_O (+ (* -1/2 (/ (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) (pow v 2))) (* sinTheta_O (+ (* -1/12 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (pow v 4))) (* 1/4 (/ (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) (pow v 3))))))))
(+ (* 2 (/ v (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (* sinTheta_O (+ (* -2 (* sinTheta_O (+ (* -1 (/ (pow sinTheta_i 2) (* v (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))))) (* 1/2 (/ (pow sinTheta_i 2) (* v (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))))))) (* 2 (/ sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))))))
(+ (* 2 (/ v (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (* sinTheta_O (+ (* 2 (/ sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (* sinTheta_O (+ (* -2 (* sinTheta_O (+ (* -1/6 (/ (pow sinTheta_i 3) (* (pow v 2) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))))) (+ (* 1/2 (/ (pow sinTheta_i 3) (* (pow v 2) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))))) (/ (* sinTheta_i (+ (* -1 (/ (pow sinTheta_i 2) (* v (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))))) (* 1/2 (/ (pow sinTheta_i 2) (* v (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))))))) v))))) (* -2 (+ (* -1 (/ (pow sinTheta_i 2) (* v (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))))) (* 1/2 (/ (pow sinTheta_i 2) (* v (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))))))))))))
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(+ (* sinTheta_O (+ (* -2 (/ (* sinTheta_i (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) v)) (+ (* -1 (/ (* sinTheta_i (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) v)) (* sinTheta_O (+ (* -1 (/ (* sinTheta_O (pow sinTheta_i 3)) (pow v 3))) (+ (* 2 (/ (* (pow sinTheta_i 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2))) (/ (* (pow sinTheta_i 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2)))))))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 3))
(+ (* sinTheta_O (+ (* -2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2))
(+ (* -1 (/ (* sinTheta_O (* (pow (log (/ 1/2 v)) 3) (+ (* -2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_i (log (/ 1/2 v))) v)))) (pow (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) 2))) (/ (pow (log (/ 1/2 v)) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2))))
(+ (* sinTheta_O (- (* -1 (* sinTheta_O (+ (* -1 (/ (* (pow (log (/ 1/2 v)) 3) (pow (+ (* -2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_i (log (/ 1/2 v))) v)) 2)) (pow (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) 3))) (/ (* (pow sinTheta_i 2) (pow (log (/ 1/2 v)) 3)) (* (pow v 2) (pow (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) 2)))))) (/ (* (pow (log (/ 1/2 v)) 3) (+ (* -2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_i (log (/ 1/2 v))) v))) (pow (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) 2)))) (/ (pow (log (/ 1/2 v)) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2))))
(+ (* sinTheta_O (- (* sinTheta_O (- (* -1 (* sinTheta_O (+ (* -1 (/ (* (+ (* -2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_i (log (/ 1/2 v))) v)) (+ (* -1 (/ (* (pow (log (/ 1/2 v)) 3) (pow (+ (* -2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_i (log (/ 1/2 v))) v)) 2)) (pow (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) 3))) (/ (* (pow sinTheta_i 2) (pow (log (/ 1/2 v)) 3)) (* (pow v 2) (pow (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) 2))))) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)))) (* -1 (/ (* (pow sinTheta_i 2) (* (pow (log (/ 1/2 v)) 3) (+ (* -2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_i (log (/ 1/2 v))) v)))) (* (pow v 2) (pow (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) 3))))))) (+ (* -1 (/ (* (pow (log (/ 1/2 v)) 3) (pow (+ (* -2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_i (log (/ 1/2 v))) v)) 2)) (pow (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) 3))) (/ (* (pow sinTheta_i 2) (pow (log (/ 1/2 v)) 3)) (* (pow v 2) (pow (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) 2)))))) (/ (* (pow (log (/ 1/2 v)) 3) (+ (* -2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_i (log (/ 1/2 v))) v))) (pow (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) 2)))) (/ (pow (log (/ 1/2 v)) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2))))
(* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ (log (/ 1/2 v)) sinTheta_O) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (log (/ 1/2 v)) sinTheta_O)) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(* sinTheta_O (- (+ (/ (log (/ 1/2 v)) sinTheta_O) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ sinTheta_i v)))
(+ (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (+ (* -1 (/ (* (pow v 4) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (* (pow (log (/ 1/2 v)) 3) (+ (* -2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_i (log (/ 1/2 v))) v))))) (* (pow sinTheta_O 3) (pow sinTheta_i 4)))) (/ (* (pow v 2) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (pow (log (/ 1/2 v)) 3))) (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))
(+ (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (+ (* -1 (/ (* (pow v 4) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (* (pow (log (/ 1/2 v)) 3) (+ (* -2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_i (log (/ 1/2 v))) v))))) (* (pow sinTheta_O 3) (pow sinTheta_i 4)))) (+ (/ (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (+ (* -1 (+ (* -1 (/ (* (pow v 6) (* (pow (log (/ 1/2 v)) 3) (pow (+ (* -2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_i (log (/ 1/2 v))) v)) 2))) (pow sinTheta_i 6))) (/ (* (pow v 4) (* (pow (log (/ 1/2 v)) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)))) (pow sinTheta_i 4)))) (* 1/2 (/ (* (pow v 4) (pow (log (/ 1/2 v)) 6)) (pow sinTheta_i 4))))) (pow sinTheta_O 4)) (/ (* (pow v 2) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (pow (log (/ 1/2 v)) 3))) (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))
(* sinTheta_O (- (+ (* -1 (/ sinTheta_i v)) (/ (* (pow v 2) (+ (* 2 (/ (* (pow sinTheta_i 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2))) (/ (* (pow sinTheta_i 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2)))) (* sinTheta_O (pow sinTheta_i 2)))) (* -1 (/ (* v (+ (* -2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_i (log (/ 1/2 v))) v))) (* sinTheta_O sinTheta_i)))))
(* sinTheta_O (- (+ (* -1 (/ sinTheta_i v)) (+ (/ (* (pow v 2) (+ (* -2 (/ (* sinTheta_i (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) v)) (* -1 (/ (* sinTheta_i (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) v)))) (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (/ (* (pow v 2) (+ (* 2 (/ (* (pow sinTheta_i 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2))) (/ (* (pow sinTheta_i 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2)))) (* sinTheta_O (pow sinTheta_i 2))))) (+ (* -1 (/ (* v (+ (* -2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_i (log (/ 1/2 v))) v))) (* sinTheta_O sinTheta_i))) (+ (* -1 (/ (* v (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2))) (* (pow sinTheta_O 2) sinTheta_i))) (/ (* (pow v 2) (* (+ (* -2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_i (log (/ 1/2 v))) v)) (- (/ (* (pow v 2) (+ (* 2 (/ (* (pow sinTheta_i 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2))) (/ (* (pow sinTheta_i 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2)))) (pow sinTheta_i 2)) (* -1 (/ (* v (+ (* -2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_i (log (/ 1/2 v))) v))) sinTheta_i))))) (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))
(* sinTheta_O (- (+ (* -1 (/ sinTheta_i v)) (+ (/ (* (pow v 2) (+ (* -2 (/ (* sinTheta_i (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) v)) (* -1 (/ (* sinTheta_i (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) v)))) (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (+ (/ (* (pow v 2) (+ (* 2 (/ (* (pow sinTheta_i 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2))) (/ (* (pow sinTheta_i 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2)))) (* sinTheta_O (pow sinTheta_i 2))) (/ (* (pow v 2) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 3)) (* (pow sinTheta_O 3) (pow sinTheta_i 2)))))) (+ (* -1 (/ (* v (+ (* -2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_i (log (/ 1/2 v))) v))) (* sinTheta_O sinTheta_i))) (+ (* -1 (/ (* v (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2))) (* (pow sinTheta_O 2) sinTheta_i))) (+ (/ (* (pow v 2) (* (+ (* -2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_i (log (/ 1/2 v))) v)) (- (/ (* (pow v 2) (+ (* -2 (/ (* sinTheta_i (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) v)) (* -1 (/ (* sinTheta_i (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) v)))) (pow sinTheta_i 2)) (+ (* -1 (/ (* v (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2))) sinTheta_i)) (/ (* (pow v 2) (* (+ (* -2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_i (log (/ 1/2 v))) v)) (- (/ (* (pow v 2) (+ (* 2 (/ (* (pow sinTheta_i 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2))) (/ (* (pow sinTheta_i 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2)))) (pow sinTheta_i 2)) (* -1 (/ (* v (+ (* -2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_i (log (/ 1/2 v))) v))) sinTheta_i))))) (pow sinTheta_i 2)))))) (* (pow sinTheta_O 3) (pow sinTheta_i 2))) (+ (/ (* (pow v 2) (* (+ (* -2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_i (log (/ 1/2 v))) v)) (- (/ (* (pow v 2) (+ (* 2 (/ (* (pow sinTheta_i 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2))) (/ (* (pow sinTheta_i 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2)))) (pow sinTheta_i 2)) (* -1 (/ (* v (+ (* -2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_i (log (/ 1/2 v))) v))) sinTheta_i))))) (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (/ (* (pow v 2) (* (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (- (/ (* (pow v 2) (+ (* 2 (/ (* (pow sinTheta_i 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2))) (/ (* (pow sinTheta_i 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2)))) (pow sinTheta_i 2)) (* -1 (/ (* v (+ (* -2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_i (log (/ 1/2 v))) v))) sinTheta_i))))) (* (pow sinTheta_O 3) (pow sinTheta_i 2)))))))))
(* (pow sinTheta_O 3) (+ (* -1 (/ (pow sinTheta_i 3) (pow v 3))) (+ (* 2 (/ (* (pow sinTheta_i 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_O (pow v 2)))) (/ (* (pow sinTheta_i 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_O (pow v 2))))))
(* (pow sinTheta_O 3) (+ (* -2 (/ (* sinTheta_i (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* (pow sinTheta_O 2) v))) (+ (* -1 (/ (* sinTheta_i (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* (pow sinTheta_O 2) v))) (+ (* -1 (/ (pow sinTheta_i 3) (pow v 3))) (+ (* 2 (/ (* (pow sinTheta_i 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_O (pow v 2)))) (/ (* (pow sinTheta_i 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_O (pow v 2))))))))
(* (pow sinTheta_O 3) (+ (* -2 (/ (* sinTheta_i (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* (pow sinTheta_O 2) v))) (+ (* -1 (/ (* sinTheta_i (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* (pow sinTheta_O 2) v))) (+ (* -1 (/ (pow sinTheta_i 3) (pow v 3))) (+ (* 2 (/ (* (pow sinTheta_i 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_O (pow v 2)))) (+ (/ (* (pow sinTheta_i 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_O (pow v 2))) (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 3) (pow sinTheta_O 3))))))))
(* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))
(* (pow sinTheta_O 2) (+ (* -2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_O v))) (/ (pow sinTheta_i 2) (pow v 2))))
(* (pow sinTheta_O 2) (+ (* -2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_O v))) (+ (/ (pow sinTheta_i 2) (pow v 2)) (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2) (pow sinTheta_O 2)))))
(/ (+ (* -1 (/ (* (pow v 4) (* (pow (log (/ 1/2 v)) 3) (+ (* -2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_i (log (/ 1/2 v))) v)))) (* sinTheta_O (pow sinTheta_i 4)))) (/ (* (pow v 2) (pow (log (/ 1/2 v)) 3)) (pow sinTheta_i 2))) (pow sinTheta_O 2))
(/ (- (+ (* -1 (/ (+ (* -1 (/ (* (pow v 6) (* (pow (log (/ 1/2 v)) 3) (pow (+ (* -2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_i (log (/ 1/2 v))) v)) 2))) (pow sinTheta_i 6))) (/ (* (pow v 4) (* (pow (log (/ 1/2 v)) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)))) (pow sinTheta_i 4))) (pow sinTheta_O 2))) (/ (* (pow v 2) (pow (log (/ 1/2 v)) 3)) (pow sinTheta_i 2))) (/ (* (pow v 4) (* (pow (log (/ 1/2 v)) 3) (+ (* -2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_i (log (/ 1/2 v))) v)))) (* sinTheta_O (pow sinTheta_i 4)))) (pow sinTheta_O 2))
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(* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
(* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
(* -1 (* sinTheta_O (- (* -1 (/ (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
(+ (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (+ (/ (* (pow v 2) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (pow (log (/ 1/2 v)) 3))) (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (/ (* (pow v 4) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (* (pow (log (/ 1/2 v)) 3) (+ (* -1 (/ (* sinTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)))))) (* (pow sinTheta_O 3) (pow sinTheta_i 4)))))
(+ (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (+ (* -1 (/ (+ (* -1 (/ (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (+ (* -1 (+ (* -1 (/ (* (pow v 6) (* (pow (log (/ 1/2 v)) 3) (pow (+ (* -1 (/ (* sinTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v))) 2))) (pow sinTheta_i 6))) (/ (* (pow v 4) (* (pow (log (/ 1/2 v)) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)))) (pow sinTheta_i 4)))) (* 1/2 (/ (* (pow v 4) (pow (log (/ 1/2 v)) 6)) (pow sinTheta_i 4))))) sinTheta_O)) (* -1 (/ (* (pow v 4) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (* (pow (log (/ 1/2 v)) 3) (+ (* -1 (/ (* sinTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)))))) (pow sinTheta_i 4)))) (pow sinTheta_O 3))) (/ (* (pow v 2) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (pow (log (/ 1/2 v)) 3))) (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))
(* -1 (* sinTheta_O (+ (* -1 (/ (- (/ (* (pow v 2) (+ (* 2 (/ (* (pow sinTheta_i 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2))) (/ (* (pow sinTheta_i 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2)))) (pow sinTheta_i 2)) (/ (* v (+ (* -1 (/ (* sinTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)))) sinTheta_i)) sinTheta_O)) (/ sinTheta_i v))))
(* -1 (* sinTheta_O (+ (* -1 (/ (- (+ (* -1 (/ (- (/ (* (pow v 2) (+ (* 2 (/ (* sinTheta_i (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) v)) (/ (* sinTheta_i (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) v))) (pow sinTheta_i 2)) (+ (/ (* v (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2))) sinTheta_i) (/ (* (pow v 2) (* (+ (* -1 (/ (* sinTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v))) (- (/ (* (pow v 2) (+ (* 2 (/ (* (pow sinTheta_i 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2))) (/ (* (pow sinTheta_i 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2)))) (pow sinTheta_i 2)) (/ (* v (+ (* -1 (/ (* sinTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)))) sinTheta_i)))) (pow sinTheta_i 2)))) sinTheta_O)) (/ (* (pow v 2) (+ (* 2 (/ (* (pow sinTheta_i 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2))) (/ (* (pow sinTheta_i 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2)))) (pow sinTheta_i 2))) (/ (* v (+ (* -1 (/ (* sinTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)))) sinTheta_i)) sinTheta_O)) (/ sinTheta_i v))))
(* -1 (* sinTheta_O (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (/ (* (pow v 2) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 3)) (pow sinTheta_i 2)) (+ (/ (* (pow v 2) (* (+ (* -1 (/ (* sinTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v))) (- (/ (* (pow v 2) (+ (* 2 (/ (* sinTheta_i (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) v)) (/ (* sinTheta_i (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) v))) (pow sinTheta_i 2)) (+ (/ (* v (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2))) sinTheta_i) (/ (* (pow v 2) (* (+ (* -1 (/ (* sinTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v))) (- (/ (* (pow v 2) (+ (* 2 (/ (* (pow sinTheta_i 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2))) (/ (* (pow sinTheta_i 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2)))) (pow sinTheta_i 2)) (/ (* v (+ (* -1 (/ (* sinTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)))) sinTheta_i)))) (pow sinTheta_i 2)))))) (pow sinTheta_i 2)) (/ (* (pow v 2) (* (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (- (/ (* (pow v 2) (+ (* 2 (/ (* (pow sinTheta_i 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2))) (/ (* (pow sinTheta_i 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2)))) (pow sinTheta_i 2)) (/ (* v (+ (* -1 (/ (* sinTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)))) sinTheta_i)))) (pow sinTheta_i 2)))) sinTheta_O)) (/ (* (pow v 2) (+ (* 2 (/ (* sinTheta_i (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) v)) (/ (* sinTheta_i (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) v))) (pow sinTheta_i 2))) (+ (/ (* v (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2))) sinTheta_i) (/ (* (pow v 2) (* (+ (* -1 (/ (* sinTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v))) (- (/ (* (pow v 2) (+ (* 2 (/ (* (pow sinTheta_i 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2))) (/ (* (pow sinTheta_i 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2)))) (pow sinTheta_i 2)) (/ (* v (+ (* -1 (/ (* sinTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)))) sinTheta_i)))) (pow sinTheta_i 2)))) sinTheta_O)) (/ (* (pow v 2) (+ (* 2 (/ (* (pow sinTheta_i 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2))) (/ (* (pow sinTheta_i 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2)))) (pow sinTheta_i 2))) (/ (* v (+ (* -1 (/ (* sinTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)))) sinTheta_i)) sinTheta_O)) (/ sinTheta_i v))))
(* -1 (* (pow sinTheta_O 3) (+ (* -1 (/ (+ (* 2 (/ (* (pow sinTheta_i 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2))) (/ (* (pow sinTheta_i 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2))) sinTheta_O)) (/ (pow sinTheta_i 3) (pow v 3)))))
(* -1 (* (pow sinTheta_O 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* 2 (/ (* sinTheta_i (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) v)) (/ (* sinTheta_i (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) v)) sinTheta_O)) (+ (* 2 (/ (* (pow sinTheta_i 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2))) (/ (* (pow sinTheta_i 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2)))) sinTheta_O)) (/ (pow sinTheta_i 3) (pow v 3)))))
(* -1 (* (pow sinTheta_O 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 3) sinTheta_O)) (+ (* 2 (/ (* sinTheta_i (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) v)) (/ (* sinTheta_i (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) v))) sinTheta_O)) (+ (* 2 (/ (* (pow sinTheta_i 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2))) (/ (* (pow sinTheta_i 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2)))) sinTheta_O)) (/ (pow sinTheta_i 3) (pow v 3)))))
(* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ sinTheta_i v))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1 (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2) sinTheta_O)) (* 2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v))) sinTheta_O)) (/ (pow sinTheta_i 2) (pow v 2))))
(/ (+ (/ (* (pow v 2) (pow (log (/ 1/2 v)) 3)) (pow sinTheta_i 2)) (/ (* (pow v 4) (* (pow (log (/ 1/2 v)) 3) (+ (* -1 (/ (* sinTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v))))) (* sinTheta_O (pow sinTheta_i 4)))) (pow sinTheta_O 2))
(/ (+ (* -1 (/ (- (+ (* -1 (/ (* (pow v 6) (* (pow (log (/ 1/2 v)) 3) (pow (+ (* -1 (/ (* sinTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v))) 2))) (* sinTheta_O (pow sinTheta_i 6)))) (/ (* (pow v 4) (* (pow (log (/ 1/2 v)) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)))) (* sinTheta_O (pow sinTheta_i 4)))) (/ (* (pow v 4) (* (pow (log (/ 1/2 v)) 3) (+ (* -1 (/ (* sinTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v))))) (pow sinTheta_i 4))) sinTheta_O)) (/ (* (pow v 2) (pow (log (/ 1/2 v)) 3)) (pow sinTheta_i 2))) (pow sinTheta_O 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (pow v 2) (* (+ (* -1 (/ (* sinTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v))) (+ (* -1 (/ (* (pow v 6) (* (pow (log (/ 1/2 v)) 3) (pow (+ (* -1 (/ (* sinTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v))) 2))) (pow sinTheta_i 6))) (/ (* (pow v 4) (* (pow (log (/ 1/2 v)) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)))) (pow sinTheta_i 4))))) (* sinTheta_O (pow sinTheta_i 2)))) (* -1 (/ (* (pow v 6) (* (pow (log (/ 1/2 v)) 3) (* (+ (* -1 (/ (* sinTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v))) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2))))) (* sinTheta_O (pow sinTheta_i 6))))) (+ (* -1 (/ (* (pow v 6) (* (pow (log (/ 1/2 v)) 3) (pow (+ (* -1 (/ (* sinTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v))) 2))) (pow sinTheta_i 6))) (/ (* (pow v 4) (* (pow (log (/ 1/2 v)) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)))) (pow sinTheta_i 4)))) sinTheta_O)) (/ (* (pow v 4) (* (pow (log (/ 1/2 v)) 3) (+ (* -1 (/ (* sinTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v))))) (pow sinTheta_i 4))) sinTheta_O)) (/ (* (pow v 2) (pow (log (/ 1/2 v)) 3)) (pow sinTheta_i 2))) (pow sinTheta_O 2))
(* 1/2 (/ (exp 6931/10000) v))
(/ 1/2 v)
(/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/ (- (+ (* cosTheta_O cosTheta_i) (* v (+ 6931/10000 (+ (log 1/2) (* -1 (log v)))))) (+ 1 (* sinTheta_O sinTheta_i))) v)
(* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))
(/ (- (* v (+ 6931/10000 (+ (log 1/2) (* -1 (log v))))) (+ 1 (* sinTheta_O sinTheta_i))) v)
(+ 6931/10000 (+ (log 1/2) (* -1 (log v))))
(/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)
(/ (- (+ (* cosTheta_O cosTheta_i) (* v (+ (log 1/2) (* -1 (log v))))) (* sinTheta_O sinTheta_i)) v)
(+ (log 1/2) (* -1 (log v)))
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(/ (+ (* v (+ (* 6931/10000 (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (* 6931/5000 (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)))) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3)) (pow v 3))
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(exp (- (/ 1 v) 6931/10000))
(/ 1 v)
(/ (+ 1 (* -6931/10000 v)) v)
(pow (+ (log 1/2) (* -1 (log v))) 3)
(/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (pow v 2))
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(* 2 (/ v (exp 6931/10000)))
(* v (+ (* -2 (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) (* v (exp 6931/10000)))) (* 2 (/ 1 (exp 6931/10000)))))
(* v (- (+ (* -1 (/ (+ (* -2 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (exp 6931/10000))) (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (exp 6931/10000))) (pow v 2))) (* 2 (/ 1 (exp 6931/10000)))) (* 2 (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) (* v (exp 6931/10000))))))
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(exp 6931/10000)
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(exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v)))))
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(/ (exp (+ (log 1/2) (log (/ 1 v)))) (exp -6931/10000))
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332956652491/1000000000000
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6931/10000
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-6931/10000
(- (/ 1 v) 6931/10000)
(pow (+ (log 1/2) (log (/ 1 v))) 3)
48038761/100000000
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(/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000))
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v))) 6931/10000)))))) v)) (+ (* 6931/10000 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (+ 48038761/100000000 (* (+ (log -1/2) (log (/ -1 v))) (- (+ (log -1/2) (log (/ -1 v))) 6931/10000))))) (* 6931/5000 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (+ 48038761/100000000 (* (+ (log -1/2) (log (/ -1 v))) (- (+ (log -1/2) (log (/ -1 v))) 6931/10000))))))) (+ (* 332956652491/1000000000000 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (pow (+ 48038761/100000000 (* (+ (log -1/2) (log (/ -1 v))) (- (+ (log -1/2) (log (/ -1 v))) 6931/10000))) 2))) (/ (* (+ (* -6931/5000 (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) (* (+ (log -1/2) (log (/ -1 v))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))))) (- (+ (* -48038761/50000000 (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) (+ 48038761/100000000 (* (+ (log -1/2) (log (/ -1 v))) (- (+ (log -1/2) (log (/ -1 v))) 6931/10000))))) (* -48038761/100000000 (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) (+ 48038761/100000000 (* (+ (log -1/2) (log (/ -1 v))) (- (+ (log -1/2) (log (/ -1 v))) 6931/10000)))))) (* 332956652491/1000000000000 (/ (+ (* -6931/5000 (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) (* (+ (log -1/2) (log (/ -1 v))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))))) (pow (+ 48038761/100000000 (* (+ (log -1/2) (log (/ -1 v))) (- (+ (log -1/2) (log (/ -1 v))) 6931/10000))) 2))))) (+ 48038761/100000000 (* (+ (log -1/2) (log (/ -1 v))) (- (+ (log -1/2) (log (/ -1 v))) 6931/10000)))))) v)) (+ (* -48038761/50000000 (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) (+ 48038761/100000000 (* (+ (log -1/2) (log (/ -1 v))) (- (+ (log -1/2) (log (/ -1 v))) 6931/10000))))) (* -48038761/100000000 (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) (+ 48038761/100000000 (* (+ (log -1/2) (log (/ -1 v))) (- (+ (log -1/2) (log (/ -1 v))) 6931/10000))))))) (* 332956652491/1000000000000 (/ (+ (* -6931/5000 (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) (* (+ (log -1/2) (log (/ -1 v))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))))) (pow (+ 48038761/100000000 (* (+ (log -1/2) (log (/ -1 v))) (- (+ (log -1/2) (log (/ -1 v))) 6931/10000))) 2)))) v)) (* 332956652491/1000000000000 (/ 1 (+ 48038761/100000000 (* (+ (log -1/2) (log (/ -1 v))) (- (+ (log -1/2) (log (/ -1 v))) 6931/10000))))))
(+ 332956652491/1000000000000 (* -1 (/ (+ (* -48038761/50000000 (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) (* -48038761/100000000 (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))))) v)))
(+ 332956652491/1000000000000 (* -1 (/ (+ (* -1 (/ (+ (* 6931/10000 (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (* 6931/5000 (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2))) v)) (+ (* -48038761/50000000 (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) (* -48038761/100000000 (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))))) v)))
(+ 332956652491/1000000000000 (* -1 (/ (+ (* -1 (/ (+ (* 6931/10000 (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (+ (* 6931/5000 (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3) v))) v)) (+ (* -48038761/50000000 (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) (* -48038761/100000000 (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))))) 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)))
(pow (+ (log -1/2) (log (/ -1 v))) 3)
(+ 48038761/100000000 (* -1 (/ (+ (* -6931/5000 (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) (* -1 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) v))) v)))
(/ (pow (+ (log -1/2) (log (/ -1 v))) 3) (+ 48038761/100000000 (* (+ (log -1/2) (log (/ -1 v))) (- (+ (log -1/2) (log (/ -1 v))) 6931/10000))))
(+ (/ (* (pow (+ (log -1/2) (log (/ -1 v))) 3) (+ (* -6931/5000 (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) (* (+ (log -1/2) (log (/ -1 v))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))))) (* v (pow (+ 48038761/100000000 (* (+ (log -1/2) (log (/ -1 v))) (- (+ (log -1/2) (log (/ -1 v))) 6931/10000))) 2))) (/ (pow (+ (log -1/2) (log (/ -1 v))) 3) (+ 48038761/100000000 (* (+ (log -1/2) (log (/ -1 v))) (- (+ (log -1/2) (log (/ -1 v))) 6931/10000)))))
(+ (* -1 (/ (- (+ (* -1 (/ (* (pow (+ (log -1/2) (log (/ -1 v))) 3) (pow (+ (* -6931/5000 (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) (* (+ (log -1/2) (log (/ -1 v))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))))) 2)) (* v (pow (+ 48038761/100000000 (* (+ (log -1/2) (log (/ -1 v))) (- (+ (log -1/2) (log (/ -1 v))) 6931/10000))) 3)))) (/ (* (pow (+ (log -1/2) (log (/ -1 v))) 3) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (* v (pow (+ 48038761/100000000 (* (+ (log -1/2) (log (/ -1 v))) (- (+ (log -1/2) (log (/ -1 v))) 6931/10000))) 2)))) (/ (* (pow (+ (log -1/2) (log (/ -1 v))) 3) (+ (* -6931/5000 (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) (* (+ (log -1/2) (log (/ -1 v))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))))) (pow (+ 48038761/100000000 (* (+ (log -1/2) (log (/ -1 v))) (- (+ (log -1/2) (log (/ -1 v))) 6931/10000))) 2))) v)) (/ (pow (+ (log -1/2) (log (/ -1 v))) 3) (+ 48038761/100000000 (* (+ (log -1/2) (log (/ -1 v))) (- (+ (log -1/2) (log (/ -1 v))) 6931/10000)))))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ (* -6931/5000 (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) (* (+ (log -1/2) (log (/ -1 v))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))))) (+ (* -1 (/ (* (pow (+ (log -1/2) (log (/ -1 v))) 3) (pow (+ (* -6931/5000 (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) (* (+ (log -1/2) (log (/ -1 v))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))))) 2)) (pow (+ 48038761/100000000 (* (+ (log -1/2) (log (/ -1 v))) (- (+ (log -1/2) (log (/ -1 v))) 6931/10000))) 3))) (/ (* (pow (+ (log -1/2) (log (/ -1 v))) 3) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (pow (+ 48038761/100000000 (* (+ (log -1/2) (log (/ -1 v))) (- (+ (log -1/2) (log (/ -1 v))) 6931/10000))) 2)))) (* v (+ 48038761/100000000 (* (+ (log -1/2) (log (/ -1 v))) (- (+ (log -1/2) (log (/ -1 v))) 6931/10000)))))) (* -1 (/ (* (pow (+ (log -1/2) (log (/ -1 v))) 3) (* (+ (* -6931/5000 (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) (* (+ (log -1/2) (log (/ -1 v))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))))) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2))) (* v (pow (+ 48038761/100000000 (* (+ (log -1/2) (log (/ -1 v))) (- (+ (log -1/2) (log (/ -1 v))) 6931/10000))) 3))))) (+ (* -1 (/ (* (pow (+ (log -1/2) (log (/ -1 v))) 3) (pow (+ (* -6931/5000 (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) (* (+ (log -1/2) (log (/ -1 v))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))))) 2)) (pow (+ 48038761/100000000 (* (+ (log -1/2) (log (/ -1 v))) (- (+ (log -1/2) (log (/ -1 v))) 6931/10000))) 3))) (/ (* (pow (+ (log -1/2) (log (/ -1 v))) 3) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (pow (+ 48038761/100000000 (* (+ (log -1/2) (log (/ -1 v))) (- (+ (log -1/2) (log (/ -1 v))) 6931/10000))) 2)))) v)) (/ (* (pow (+ (log -1/2) (log (/ -1 v))) 3) (+ (* -6931/5000 (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) (* (+ (log -1/2) (log (/ -1 v))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))))) (pow (+ 48038761/100000000 (* (+ (log -1/2) (log (/ -1 v))) (- (+ (log -1/2) (log (/ -1 v))) 6931/10000))) 2))) v)) (/ (pow (+ (log -1/2) (log (/ -1 v))) 3) (+ 48038761/100000000 (* (+ (log -1/2) (log (/ -1 v))) (- (+ (log -1/2) (log (/ -1 v))) 6931/10000)))))
Outputs
(* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))) v))
(+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))))
(*.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))) v) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))))) (*.f32 v v))))
(+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* cosTheta_i (+ (* 1/4 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))))
(fma.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))) v) (*.f32 cosTheta_i (fma.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_O) (*.f32 cosTheta_i (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))))) (pow.f32 v #s(literal 3 binary32))) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta_O (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)))) (*.f32 v v))))))
(+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* cosTheta_i (+ (* 1/2 (/ (* cosTheta_O (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))) (* cosTheta_i (+ (* 1/12 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 4))) (* 1/4 (/ (* (pow cosTheta_O 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 3))))))))
(fma.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))) v) (*.f32 cosTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta_O (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)))) (*.f32 v v)) (*.f32 cosTheta_i (fma.f32 #s(literal 1/12 binary32) (/.f32 (*.f32 (pow.f32 cosTheta_O #s(literal 3 binary32)) (*.f32 cosTheta_i (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))))) (pow.f32 v #s(literal 4 binary32))) (*.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_O) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)))) (pow.f32 v #s(literal 3 binary32)))))))))
(* 2 (/ v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
(*.f32 #s(literal 2 binary32) (/.f32 v (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)))))
(+ (* -2 (/ (* cosTheta_O cosTheta_i) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 2 (/ v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))
(fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)))) (*.f32 #s(literal 2 binary32) (/.f32 v (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))))))
(+ (* 2 (/ v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* cosTheta_i (+ (* -2 (* cosTheta_i (+ (* -1 (/ (pow cosTheta_O 2) (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* 1/2 (/ (pow cosTheta_O 2) (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))) (* -2 (/ cosTheta_O (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))
(fma.f32 #s(literal 2 binary32) (/.f32 v (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)))) (*.f32 cosTheta_i (*.f32 #s(literal -2 binary32) (fma.f32 cosTheta_i (*.f32 (/.f32 (*.f32 cosTheta_O cosTheta_O) (*.f32 v (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))))) #s(literal -1/2 binary32)) (/.f32 cosTheta_O (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))))))))
(+ (* 2 (/ v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* cosTheta_i (+ (* -2 (/ cosTheta_O (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* cosTheta_i (+ (* -2 (* cosTheta_i (+ (* -1 (/ (* cosTheta_O (+ (* -1 (/ (pow cosTheta_O 2) (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* 1/2 (/ (pow cosTheta_O 2) (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) v)) (+ (* -1/2 (/ (pow cosTheta_O 3) (* (pow v 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* 1/6 (/ (pow cosTheta_O 3) (* (pow v 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))))) (* -2 (+ (* -1 (/ (pow cosTheta_O 2) (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* 1/2 (/ (pow cosTheta_O 2) (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))))))))
(fma.f32 #s(literal 2 binary32) (/.f32 v (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)))) (*.f32 cosTheta_i (fma.f32 #s(literal -2 binary32) (/.f32 cosTheta_O (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)))) (*.f32 cosTheta_i (*.f32 #s(literal -2 binary32) (fma.f32 cosTheta_i (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 cosTheta_O (*.f32 (/.f32 (*.f32 cosTheta_O cosTheta_O) (*.f32 v (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))))) #s(literal -1/2 binary32))) v) (*.f32 (/.f32 (pow.f32 cosTheta_O #s(literal 3 binary32)) (*.f32 (*.f32 v v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))))) #s(literal -1/3 binary32))) (*.f32 (/.f32 (*.f32 cosTheta_O cosTheta_O) (*.f32 v (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))))) #s(literal -1/2 binary32))))))))
(exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)))
(+ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (/ (* cosTheta_O (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) v))
(+.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))))) v))
(+ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_O (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
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(+ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_O (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
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(/ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000)))
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(* cosTheta_i (- (+ (/ cosTheta_O v) (/ (* (pow v 2) (+ (* 2 (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))) (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2)))) (* (pow cosTheta_O 2) cosTheta_i))) (/ (* v (+ (* -1 (/ (* cosTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)))) (* cosTheta_O cosTheta_i))))
(*.f32 cosTheta_i (-.f32 (+.f32 (/.f32 cosTheta_O v) (*.f32 (/.f32 (*.f32 v v) (*.f32 cosTheta_O cosTheta_O)) (/.f32 (*.f32 #s(literal 3 binary32) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_O) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))) (*.f32 v v))) cosTheta_i))) (*.f32 (/.f32 v cosTheta_O) (/.f32 (+.f32 (neg.f32 (/.f32 (*.f32 cosTheta_O (log.f32 (/.f32 #s(literal 1/2 binary32) v))) v)) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 cosTheta_O (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))) v))) cosTheta_i))))
(* cosTheta_i (- (+ (/ cosTheta_O v) (+ (/ (* (pow v 2) (+ (* 2 (/ (* cosTheta_O (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) v)) (/ (* cosTheta_O (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) v))) (* (pow cosTheta_O 2) (pow cosTheta_i 2))) (/ (* (pow v 2) (+ (* 2 (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))) (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2)))) (* (pow cosTheta_O 2) cosTheta_i)))) (+ (/ (* v (+ (* -1 (/ (* cosTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)))) (* cosTheta_O cosTheta_i)) (+ (/ (* v (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))) (* cosTheta_O (pow cosTheta_i 2))) (/ (* (pow v 2) (* (+ (* -1 (/ (* cosTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))) (- (/ (* (pow v 2) (+ (* 2 (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))) (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2)))) (pow cosTheta_O 2)) (/ (* v (+ (* -1 (/ (* cosTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)))) cosTheta_O)))) (* (pow cosTheta_O 2) (pow cosTheta_i 2)))))))
(*.f32 cosTheta_i (-.f32 (+.f32 (/.f32 cosTheta_O v) (fma.f32 (/.f32 (*.f32 v v) (*.f32 cosTheta_O cosTheta_O)) (/.f32 (*.f32 #s(literal 3 binary32) (/.f32 (*.f32 cosTheta_O (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) #s(literal 2 binary32))) v)) (*.f32 cosTheta_i cosTheta_i)) (*.f32 (/.f32 (*.f32 v v) (*.f32 cosTheta_O cosTheta_O)) (/.f32 (*.f32 #s(literal 3 binary32) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_O) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))) (*.f32 v v))) cosTheta_i)))) (fma.f32 (/.f32 v cosTheta_O) (/.f32 (+.f32 (neg.f32 (/.f32 (*.f32 cosTheta_O (log.f32 (/.f32 #s(literal 1/2 binary32) v))) v)) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 cosTheta_O (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))) v))) cosTheta_i) (fma.f32 (/.f32 v cosTheta_O) (/.f32 (fma.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) #s(literal 6931/10000 binary32)) (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) #s(literal 2 binary32))) (*.f32 cosTheta_i cosTheta_i)) (*.f32 (/.f32 (*.f32 v v) (*.f32 cosTheta_O cosTheta_O)) (/.f32 (*.f32 (+.f32 (neg.f32 (/.f32 (*.f32 cosTheta_O (log.f32 (/.f32 #s(literal 1/2 binary32) v))) v)) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 cosTheta_O (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))) v))) (-.f32 (/.f32 (*.f32 (*.f32 v v) (*.f32 #s(literal 3 binary32) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_O) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))) (*.f32 v v)))) (*.f32 cosTheta_O cosTheta_O)) (/.f32 (*.f32 v (+.f32 (neg.f32 (/.f32 (*.f32 cosTheta_O (log.f32 (/.f32 #s(literal 1/2 binary32) v))) v)) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 cosTheta_O (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))) v)))) cosTheta_O))) (*.f32 cosTheta_i cosTheta_i)))))))
(* cosTheta_i (- (+ (/ cosTheta_O v) (+ (/ (* (pow v 2) (+ (* 2 (/ (* cosTheta_O (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) v)) (/ (* cosTheta_O (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) v))) (* (pow cosTheta_O 2) (pow cosTheta_i 2))) (+ (/ (* (pow v 2) (+ (* 2 (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))) (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2)))) (* (pow cosTheta_O 2) cosTheta_i)) (/ (* (pow v 2) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3)) (* (pow cosTheta_O 2) (pow cosTheta_i 3)))))) (+ (/ (* v (+ (* -1 (/ (* cosTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)))) (* cosTheta_O cosTheta_i)) (+ (/ (* v (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))) (* cosTheta_O (pow cosTheta_i 2))) (+ (/ (* (pow v 2) (* (+ (* -1 (/ (* cosTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))) (- (/ (* (pow v 2) (+ (* 2 (/ (* cosTheta_O (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) v)) (/ (* cosTheta_O (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) v))) (pow cosTheta_O 2)) (+ (/ (* v (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))) cosTheta_O) (/ (* (pow v 2) (* (+ (* -1 (/ (* cosTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))) (- (/ (* (pow v 2) (+ (* 2 (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))) (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2)))) (pow cosTheta_O 2)) (/ (* v (+ (* -1 (/ (* cosTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)))) cosTheta_O)))) (pow cosTheta_O 2)))))) (* (pow cosTheta_O 2) (pow cosTheta_i 3))) (+ (/ (* (pow v 2) (* (+ (* -1 (/ (* cosTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))) (- (/ (* (pow v 2) (+ (* 2 (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))) (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2)))) (pow cosTheta_O 2)) (/ (* v (+ (* -1 (/ (* cosTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)))) cosTheta_O)))) (* (pow cosTheta_O 2) (pow cosTheta_i 2))) (/ (* (pow v 2) (* (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (- (/ (* (pow v 2) (+ (* 2 (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))) (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2)))) (pow cosTheta_O 2)) (/ (* v (+ (* -1 (/ (* cosTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)))) cosTheta_O)))) (* (pow cosTheta_O 2) (pow cosTheta_i 3)))))))))
(*.f32 cosTheta_i (-.f32 (+.f32 (/.f32 cosTheta_O v) (fma.f32 (/.f32 (*.f32 v v) (*.f32 cosTheta_O cosTheta_O)) (/.f32 (*.f32 #s(literal 3 binary32) (/.f32 (*.f32 cosTheta_O (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) #s(literal 2 binary32))) v)) (*.f32 cosTheta_i cosTheta_i)) (fma.f32 (/.f32 (*.f32 v v) (*.f32 cosTheta_O cosTheta_O)) (/.f32 (*.f32 #s(literal 3 binary32) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_O) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))) (*.f32 v v))) cosTheta_i) (*.f32 (/.f32 (*.f32 v v) (*.f32 cosTheta_O cosTheta_O)) (pow.f32 (/.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) cosTheta_i) #s(literal 3 binary32)))))) (fma.f32 (/.f32 v cosTheta_O) (/.f32 (+.f32 (neg.f32 (/.f32 (*.f32 cosTheta_O (log.f32 (/.f32 #s(literal 1/2 binary32) v))) v)) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 cosTheta_O (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))) v))) cosTheta_i) (fma.f32 (/.f32 v cosTheta_O) (/.f32 (fma.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) #s(literal 6931/10000 binary32)) (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) #s(literal 2 binary32))) (*.f32 cosTheta_i cosTheta_i)) (fma.f32 (/.f32 (*.f32 v v) (*.f32 cosTheta_O cosTheta_O)) (/.f32 (*.f32 (+.f32 (neg.f32 (/.f32 (*.f32 cosTheta_O (log.f32 (/.f32 #s(literal 1/2 binary32) v))) v)) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 cosTheta_O (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))) v))) (-.f32 (/.f32 (*.f32 (*.f32 v v) (*.f32 #s(literal 3 binary32) (/.f32 (*.f32 cosTheta_O (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) #s(literal 2 binary32))) v))) (*.f32 cosTheta_O cosTheta_O)) (+.f32 (/.f32 (*.f32 v (fma.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) #s(literal 6931/10000 binary32)) (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) #s(literal 2 binary32)))) cosTheta_O) (/.f32 (*.f32 (*.f32 v v) (*.f32 (+.f32 (neg.f32 (/.f32 (*.f32 cosTheta_O (log.f32 (/.f32 #s(literal 1/2 binary32) v))) v)) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 cosTheta_O (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))) v))) (-.f32 (/.f32 (*.f32 (*.f32 v v) (*.f32 #s(literal 3 binary32) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_O) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))) (*.f32 v v)))) (*.f32 cosTheta_O cosTheta_O)) (/.f32 (*.f32 v (+.f32 (neg.f32 (/.f32 (*.f32 cosTheta_O (log.f32 (/.f32 #s(literal 1/2 binary32) v))) v)) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 cosTheta_O (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))) v)))) cosTheta_O)))) (*.f32 cosTheta_O cosTheta_O))))) (pow.f32 cosTheta_i #s(literal 3 binary32))) (fma.f32 (/.f32 (*.f32 v v) (*.f32 cosTheta_O cosTheta_O)) (/.f32 (*.f32 (+.f32 (neg.f32 (/.f32 (*.f32 cosTheta_O (log.f32 (/.f32 #s(literal 1/2 binary32) v))) v)) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 cosTheta_O (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))) v))) (-.f32 (/.f32 (*.f32 (*.f32 v v) (*.f32 #s(literal 3 binary32) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_O) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))) (*.f32 v v)))) (*.f32 cosTheta_O cosTheta_O)) (/.f32 (*.f32 v (+.f32 (neg.f32 (/.f32 (*.f32 cosTheta_O (log.f32 (/.f32 #s(literal 1/2 binary32) v))) v)) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 cosTheta_O (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))) v)))) cosTheta_O))) (*.f32 cosTheta_i cosTheta_i)) (*.f32 (/.f32 (*.f32 v v) (*.f32 cosTheta_O cosTheta_O)) (/.f32 (*.f32 (fma.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) #s(literal 6931/10000 binary32)) (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) #s(literal 2 binary32))) (-.f32 (/.f32 (*.f32 (*.f32 v v) (*.f32 #s(literal 3 binary32) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_O) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))) (*.f32 v v)))) (*.f32 cosTheta_O cosTheta_O)) (/.f32 (*.f32 v (+.f32 (neg.f32 (/.f32 (*.f32 cosTheta_O (log.f32 (/.f32 #s(literal 1/2 binary32) v))) v)) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 cosTheta_O (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))) v)))) cosTheta_O))) (pow.f32 cosTheta_i #s(literal 3 binary32))))))))))
(/ (* (pow cosTheta_O 3) (pow cosTheta_i 3)) (pow v 3))
(/.f32 (pow.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 3 binary32)) (pow.f32 v #s(literal 3 binary32)))
(* (pow cosTheta_i 3) (+ (* 2 (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (pow v 2)))) (+ (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (pow v 2))) (/ (pow cosTheta_O 3) (pow v 3)))))
(*.f32 (pow.f32 cosTheta_i #s(literal 3 binary32)) (fma.f32 #s(literal 2 binary32) (*.f32 (/.f32 (*.f32 cosTheta_O cosTheta_O) cosTheta_i) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) (*.f32 v v))) (fma.f32 (/.f32 (*.f32 cosTheta_O cosTheta_O) cosTheta_i) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) (*.f32 v v)) (pow.f32 (/.f32 cosTheta_O v) #s(literal 3 binary32)))))
(* (pow cosTheta_i 3) (+ (* 2 (/ (* cosTheta_O (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* (pow cosTheta_i 2) v))) (+ (* 2 (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (pow v 2)))) (+ (/ (* cosTheta_O (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* (pow cosTheta_i 2) v)) (+ (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (pow v 2))) (/ (pow cosTheta_O 3) (pow v 3)))))))
(*.f32 (pow.f32 cosTheta_i #s(literal 3 binary32)) (fma.f32 #s(literal 2 binary32) (*.f32 (/.f32 cosTheta_O (*.f32 cosTheta_i cosTheta_i)) (/.f32 (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) #s(literal 2 binary32)) v)) (fma.f32 #s(literal 2 binary32) (*.f32 (/.f32 (*.f32 cosTheta_O cosTheta_O) cosTheta_i) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) (*.f32 v v))) (fma.f32 (/.f32 cosTheta_O (*.f32 cosTheta_i cosTheta_i)) (/.f32 (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) #s(literal 2 binary32)) v) (fma.f32 (/.f32 (*.f32 cosTheta_O cosTheta_O) cosTheta_i) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) (*.f32 v v)) (pow.f32 (/.f32 cosTheta_O v) #s(literal 3 binary32)))))))
(* (pow cosTheta_i 3) (+ (* 2 (/ (* cosTheta_O (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* (pow cosTheta_i 2) v))) (+ (* 2 (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (pow v 2)))) (+ (/ (* cosTheta_O (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* (pow cosTheta_i 2) v)) (+ (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (pow v 2))) (+ (/ (pow cosTheta_O 3) (pow v 3)) (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (pow cosTheta_i 3))))))))
(*.f32 (pow.f32 cosTheta_i #s(literal 3 binary32)) (fma.f32 #s(literal 2 binary32) (*.f32 (/.f32 cosTheta_O (*.f32 cosTheta_i cosTheta_i)) (/.f32 (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) #s(literal 2 binary32)) v)) (fma.f32 #s(literal 2 binary32) (*.f32 (/.f32 (*.f32 cosTheta_O cosTheta_O) cosTheta_i) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) (*.f32 v v))) (fma.f32 (/.f32 cosTheta_O (*.f32 cosTheta_i cosTheta_i)) (/.f32 (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) #s(literal 2 binary32)) v) (fma.f32 (/.f32 (*.f32 cosTheta_O cosTheta_O) cosTheta_i) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) (*.f32 v v)) (+.f32 (pow.f32 (/.f32 cosTheta_O v) #s(literal 3 binary32)) (pow.f32 (/.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) cosTheta_i) #s(literal 3 binary32))))))))
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v)) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(*.f32 cosTheta_i (-.f32 (fma.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_i) (/.f32 cosTheta_O v)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (*.f32 cosTheta_i v))))
(* cosTheta_i (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ cosTheta_O v)))
(*.f32 cosTheta_i (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 sinTheta_O cosTheta_i) (/.f32 sinTheta_i v)) (/.f32 cosTheta_O v)))
(/ (* (pow cosTheta_O 2) (pow cosTheta_i 2)) (pow v 2))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_O) (*.f32 cosTheta_i cosTheta_i)) (*.f32 v v))
(* (pow cosTheta_i 2) (+ (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i v))) (/ (pow cosTheta_O 2) (pow v 2))))
(*.f32 (*.f32 cosTheta_i cosTheta_i) (fma.f32 #s(literal 2 binary32) (*.f32 (/.f32 cosTheta_O cosTheta_i) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) v)) (/.f32 (*.f32 cosTheta_O cosTheta_O) (*.f32 v v))))
(* (pow cosTheta_i 2) (+ (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i v))) (+ (/ (pow cosTheta_O 2) (pow v 2)) (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (pow cosTheta_i 2)))))
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(/ (* (pow v 2) (pow (log (/ 1/2 v)) 3)) (* (pow cosTheta_O 2) (pow cosTheta_i 2)))
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(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (/ (* (pow v 2) (+ (* 2 (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))) (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2)))) (pow cosTheta_O 2)) (* -1 (/ (* v (+ (* -2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (/ (* cosTheta_O (log (/ 1/2 v))) v))) cosTheta_O))) cosTheta_i)))))
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(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ (* -1 (/ (- (/ (* (pow v 2) (+ (* -2 (/ (* cosTheta_O (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) v)) (* -1 (/ (* cosTheta_O (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) v)))) (pow cosTheta_O 2)) (+ (* -1 (/ (* v (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))) cosTheta_O)) (/ (* (pow v 2) (* (+ (* -2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (/ (* cosTheta_O (log (/ 1/2 v))) v)) (- (/ (* (pow v 2) (+ (* 2 (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))) (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2)))) (pow cosTheta_O 2)) (* -1 (/ (* v (+ (* -2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (/ (* cosTheta_O (log (/ 1/2 v))) v))) cosTheta_O))))) (pow cosTheta_O 2)))) cosTheta_i)) (/ (* (pow v 2) (+ (* 2 (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))) (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2)))) (pow cosTheta_O 2))) (* -1 (/ (* v (+ (* -2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (/ (* cosTheta_O (log (/ 1/2 v))) v))) cosTheta_O))) cosTheta_i)))))
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(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (/ (* (pow v 2) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3)) (pow cosTheta_O 2)) (+ (/ (* (pow v 2) (* (+ (* -2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (/ (* cosTheta_O (log (/ 1/2 v))) v)) (- (/ (* (pow v 2) (+ (* -2 (/ (* cosTheta_O (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) v)) (* -1 (/ (* cosTheta_O (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) v)))) (pow cosTheta_O 2)) (+ (* -1 (/ (* v (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))) cosTheta_O)) (/ (* (pow v 2) (* (+ (* -2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (/ (* cosTheta_O (log (/ 1/2 v))) v)) (- (/ (* (pow v 2) (+ (* 2 (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))) (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2)))) (pow cosTheta_O 2)) (* -1 (/ (* v (+ (* -2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (/ (* cosTheta_O (log (/ 1/2 v))) v))) cosTheta_O))))) (pow cosTheta_O 2)))))) (pow cosTheta_O 2)) (/ (* (pow v 2) (* (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (- (/ (* (pow v 2) (+ (* 2 (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))) (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2)))) (pow cosTheta_O 2)) (* -1 (/ (* v (+ (* -2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (/ (* cosTheta_O (log (/ 1/2 v))) v))) cosTheta_O))))) (pow cosTheta_O 2)))) cosTheta_i)) (/ (* (pow v 2) (+ (* -2 (/ (* cosTheta_O (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) v)) (* -1 (/ (* cosTheta_O (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) v)))) (pow cosTheta_O 2))) (+ (* -1 (/ (* v (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))) cosTheta_O)) (/ (* (pow v 2) (* (+ (* -2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (/ (* cosTheta_O (log (/ 1/2 v))) v)) (- (/ (* (pow v 2) (+ (* 2 (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))) (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2)))) (pow cosTheta_O 2)) (* -1 (/ (* v (+ (* -2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (/ (* cosTheta_O (log (/ 1/2 v))) v))) cosTheta_O))))) (pow cosTheta_O 2)))) cosTheta_i)) (/ (* (pow v 2) (+ (* 2 (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))) (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2)))) (pow cosTheta_O 2))) (* -1 (/ (* v (+ (* -2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (/ (* cosTheta_O (log (/ 1/2 v))) v))) cosTheta_O))) cosTheta_i)))))
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(fma.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) #s(literal 6931/10000 binary32)) (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) #s(literal 2 binary32)))) cosTheta_O) (/.f32 (*.f32 (*.f32 v v) (*.f32 (fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 cosTheta_O (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))) v) (/.f32 (*.f32 cosTheta_O (log.f32 (/.f32 #s(literal 1/2 binary32) v))) v)) (-.f32 (/.f32 (*.f32 (*.f32 v v) (*.f32 #s(literal 3 binary32) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_O) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))) (*.f32 v v)))) (*.f32 cosTheta_O cosTheta_O)) (neg.f32 (/.f32 (*.f32 v (fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 cosTheta_O (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))) v) (/.f32 (*.f32 cosTheta_O (log.f32 (/.f32 #s(literal 1/2 binary32) v))) v))) cosTheta_O))))) (*.f32 cosTheta_O cosTheta_O))))) (*.f32 (*.f32 v v) (*.f32 (fma.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) #s(literal 6931/10000 binary32)) (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) #s(literal 2 binary32))) (-.f32 (/.f32 (*.f32 (*.f32 v v) (*.f32 #s(literal 3 binary32) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_O) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))) (*.f32 v v)))) (*.f32 cosTheta_O cosTheta_O)) (neg.f32 (/.f32 (*.f32 v (fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 cosTheta_O (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))) v) (/.f32 (*.f32 cosTheta_O (log.f32 (/.f32 #s(literal 1/2 binary32) v))) v))) cosTheta_O)))))) (*.f32 cosTheta_O cosTheta_O))) cosTheta_i) (/.f32 (*.f32 (*.f32 v v) (*.f32 (/.f32 (*.f32 cosTheta_O (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) #s(literal 2 binary32))) v) #s(literal -3 binary32))) (*.f32 cosTheta_O cosTheta_O))) (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 v (fma.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) #s(literal 6931/10000 binary32)) (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) #s(literal 2 binary32)))) cosTheta_O) (/.f32 (*.f32 (*.f32 v v) (*.f32 (fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 cosTheta_O (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))) v) (/.f32 (*.f32 cosTheta_O (log.f32 (/.f32 #s(literal 1/2 binary32) v))) v)) (-.f32 (/.f32 (*.f32 (*.f32 v v) (*.f32 #s(literal 3 binary32) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_O) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))) (*.f32 v v)))) (*.f32 cosTheta_O cosTheta_O)) (neg.f32 (/.f32 (*.f32 v (fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 cosTheta_O (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))) v) (/.f32 (*.f32 cosTheta_O (log.f32 (/.f32 #s(literal 1/2 binary32) v))) v))) cosTheta_O))))) (*.f32 cosTheta_O cosTheta_O)))) cosTheta_i) (/.f32 (*.f32 (*.f32 v v) (*.f32 #s(literal 3 binary32) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_O) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))) (*.f32 v v)))) (*.f32 cosTheta_O cosTheta_O))) (neg.f32 (/.f32 (*.f32 v (fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 cosTheta_O (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))) v) (/.f32 (*.f32 cosTheta_O (log.f32 (/.f32 #s(literal 1/2 binary32) v))) v))) cosTheta_O))) cosTheta_i)))))
(* -1 (* (pow cosTheta_i 3) (+ (* -1 (/ (+ (* 2 (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))) (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))) cosTheta_i)) (* -1 (/ (pow cosTheta_O 3) (pow v 3))))))
(neg.f32 (*.f32 (pow.f32 cosTheta_i #s(literal 3 binary32)) (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 #s(literal 3 binary32) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_O) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))) (*.f32 v v))) cosTheta_i) (neg.f32 (pow.f32 (/.f32 cosTheta_O v) #s(literal 3 binary32))))))
(* -1 (* (pow cosTheta_i 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* cosTheta_O (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) v)) (* -1 (/ (* cosTheta_O (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) v))) cosTheta_i)) (+ (* 2 (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))) (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2)))) cosTheta_i)) (* -1 (/ (pow cosTheta_O 3) (pow v 3))))))
(neg.f32 (*.f32 (pow.f32 cosTheta_i #s(literal 3 binary32)) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 (/.f32 (*.f32 cosTheta_O (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) #s(literal 2 binary32))) v) #s(literal -3 binary32)) cosTheta_i) (*.f32 #s(literal 3 binary32) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_O) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))) (*.f32 v v)))) cosTheta_i) (neg.f32 (pow.f32 (/.f32 cosTheta_O v) #s(literal 3 binary32))))))
(* -1 (* (pow cosTheta_i 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* cosTheta_O (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) v)) (+ (* -1 (/ (* cosTheta_O (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) v)) (* -1 (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) cosTheta_i)))) cosTheta_i)) (+ (* 2 (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))) (/ (* (pow cosTheta_O 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2)))) cosTheta_i)) (* -1 (/ (pow cosTheta_O 3) (pow v 3))))))
(neg.f32 (*.f32 (pow.f32 cosTheta_i #s(literal 3 binary32)) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 cosTheta_O (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) #s(literal 2 binary32))) v) (*.f32 #s(literal -1 binary32) (+.f32 (/.f32 (*.f32 cosTheta_O (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) #s(literal 2 binary32))) v) (/.f32 (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) #s(literal 3 binary32)) cosTheta_i)))) cosTheta_i) (*.f32 #s(literal 3 binary32) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_O) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))) (*.f32 v v)))) cosTheta_i) (neg.f32 (pow.f32 (/.f32 cosTheta_O v) #s(literal 3 binary32))))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(neg.f32 (*.f32 cosTheta_i (*.f32 #s(literal -1 binary32) (+.f32 (/.f32 cosTheta_O v) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(neg.f32 (*.f32 cosTheta_i (fma.f32 #s(literal -1 binary32) (/.f32 cosTheta_O v) (*.f32 (/.f32 sinTheta_O cosTheta_i) (/.f32 sinTheta_i v)))))
(* (pow cosTheta_i 2) (+ (* -1 (/ (+ (* -2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* -1 (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) cosTheta_i))) cosTheta_i)) (/ (pow cosTheta_O 2) (pow v 2))))
(*.f32 (*.f32 cosTheta_i cosTheta_i) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 cosTheta_O (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))) v) (neg.f32 (/.f32 (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) #s(literal 2 binary32)) cosTheta_i))) cosTheta_i) (/.f32 (*.f32 cosTheta_O cosTheta_O) (*.f32 v v))))
(/ (+ (/ (* (pow v 2) (pow (log (/ 1/2 v)) 3)) (pow cosTheta_O 2)) (/ (* (pow v 4) (* (pow (log (/ 1/2 v)) 3) (+ (* -2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (/ (* cosTheta_O (log (/ 1/2 v))) v)))) (* (pow cosTheta_O 4) cosTheta_i))) (pow cosTheta_i 2))
(/.f32 (+.f32 (/.f32 (*.f32 (*.f32 v v) (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32))) (*.f32 cosTheta_O cosTheta_O)) (*.f32 (/.f32 (pow.f32 v #s(literal 4 binary32)) (pow.f32 cosTheta_O #s(literal 4 binary32))) (/.f32 (*.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32)) (fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 cosTheta_O (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))) v) (/.f32 (*.f32 cosTheta_O (log.f32 (/.f32 #s(literal 1/2 binary32) v))) v))) cosTheta_i))) (*.f32 cosTheta_i cosTheta_i))
(/ (+ (* -1 (/ (- (+ (* -1 (/ (* (pow v 6) (* (pow (log (/ 1/2 v)) 3) (pow (+ (* -2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (/ (* cosTheta_O (log (/ 1/2 v))) v)) 2))) (* (pow cosTheta_O 6) cosTheta_i))) (/ (* (pow v 4) (* (pow (log (/ 1/2 v)) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (* (pow cosTheta_O 4) cosTheta_i))) (/ (* (pow v 4) (* (pow (log (/ 1/2 v)) 3) (+ (* -2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (/ (* cosTheta_O (log (/ 1/2 v))) v)))) (pow cosTheta_O 4))) cosTheta_i)) (/ (* (pow v 2) (pow (log (/ 1/2 v)) 3)) (pow cosTheta_O 2))) (pow cosTheta_i 2))
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(+ (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 3) (exp (- (/ 1 v) 6931/10000))))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))))) (/ (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000)))))) (/ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000))))
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(+ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))) (/ (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) v))))
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(+ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))))) (/ (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) v))))
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v)) #s(literal 2 binary32)) (fma.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) #s(literal 6931/10000 binary32)) (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) #s(literal 2 binary32)))))) (/.f32 (*.f32 (+.f32 (neg.f32 (/.f32 (*.f32 cosTheta_i (log.f32 (/.f32 #s(literal 1/2 binary32) v))) v)) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 cosTheta_i (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))) v))) (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) #s(literal 3 binary32))) (pow.f32 (fma.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O 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sinTheta_i)) v)) #s(literal 6931/10000 binary32)) (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) #s(literal 2 binary32))))))) (/.f32 (*.f32 (+.f32 (neg.f32 (/.f32 (*.f32 cosTheta_i (log.f32 (/.f32 #s(literal 1/2 binary32) v))) v)) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 cosTheta_i (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))) v))) (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) #s(literal 3 binary32))) (pow.f32 (fma.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) #s(literal 6931/10000 binary32)) (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) #s(literal 2 binary32))) #s(literal 2 binary32)))) (/.f32 (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) #s(literal 3 binary32)) (fma.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) #s(literal 6931/10000 binary32)) (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) #s(literal 2 binary32)))))
(+ (* cosTheta_O (+ (* 2 (/ (* cosTheta_i (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) v)) (/ (* cosTheta_i (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) v))) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3))
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(+ (* cosTheta_O (+ (* 2 (/ (* cosTheta_i (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) v)) (+ (* cosTheta_O (+ (* 2 (/ (* (pow cosTheta_i 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))) (/ (* (pow cosTheta_i 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2)))) (/ (* cosTheta_i (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) v)))) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3))
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(+ (* cosTheta_O (+ (* 2 (/ (* cosTheta_i (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) v)) (+ (* cosTheta_O (+ (* 2 (/ (* (pow cosTheta_i 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))) (+ (/ (* cosTheta_O (pow cosTheta_i 3)) (pow v 3)) (/ (* (pow cosTheta_i 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))))) (/ (* cosTheta_i (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) v)))) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3))
(fma.f32 cosTheta_O (fma.f32 #s(literal 2 binary32) (/.f32 (*.f32 cosTheta_i (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) #s(literal 2 binary32))) v) (fma.f32 cosTheta_O (fma.f32 #s(literal 2 binary32) (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_i) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))) (*.f32 v v)) (+.f32 (/.f32 (*.f32 cosTheta_O (pow.f32 cosTheta_i #s(literal 3 binary32))) (pow.f32 v #s(literal 3 binary32))) (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_i) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))) (*.f32 v v)))) (/.f32 (*.f32 cosTheta_i (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) #s(literal 2 binary32))) v))) (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) #s(literal 3 binary32)))
(+ (* cosTheta_O (+ (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (/ (* cosTheta_O (pow cosTheta_i 2)) (pow v 2)))) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))
(fma.f32 cosTheta_O (fma.f32 #s(literal 2 binary32) (/.f32 (*.f32 cosTheta_i (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))) v) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i cosTheta_i)) (*.f32 v v))) (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) #s(literal 2 binary32)))
(+ (* -1 (/ (* cosTheta_O (* (pow (log (/ 1/2 v)) 3) (+ (* -1 (/ (* cosTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))))) (pow (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) 2))) (/ (pow (log (/ 1/2 v)) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))
(fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 cosTheta_O (*.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32)) (+.f32 (neg.f32 (/.f32 (*.f32 cosTheta_i (log.f32 (/.f32 #s(literal 1/2 binary32) v))) v)) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 cosTheta_i (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))) v))))) (pow.f32 (fma.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) #s(literal 6931/10000 binary32)) (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) #s(literal 2 binary32))) #s(literal 2 binary32))) (/.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32)) (fma.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) #s(literal 6931/10000 binary32)) (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) #s(literal 2 binary32)))))
(+ (* cosTheta_O (- (* -1 (* cosTheta_O (+ (* -1 (/ (* (pow (log (/ 1/2 v)) 3) (pow (+ (* -1 (/ (* cosTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))) 2)) (pow (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) 3))) (/ (* (pow cosTheta_i 2) (pow (log (/ 1/2 v)) 3)) (* (pow v 2) (pow (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) 2)))))) (/ (* (pow (log (/ 1/2 v)) 3) (+ (* -1 (/ (* cosTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)))) (pow (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) 2)))) (/ (pow (log (/ 1/2 v)) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))
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(+ (* cosTheta_O (- (* cosTheta_O (- (* -1 (* cosTheta_O (+ (* -1 (/ (* (+ (* -1 (/ (* cosTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))) (+ (* -1 (/ (* (pow (log (/ 1/2 v)) 3) (pow (+ (* -1 (/ (* cosTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))) 2)) (pow (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) 3))) (/ (* (pow cosTheta_i 2) (pow (log (/ 1/2 v)) 3)) (* (pow v 2) (pow (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) 2))))) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (* -1 (/ (* (pow cosTheta_i 2) (* (pow (log (/ 1/2 v)) 3) (+ (* -1 (/ (* cosTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))))) (* (pow v 2) (pow (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) 3))))))) (+ (* -1 (/ (* (pow (log (/ 1/2 v)) 3) (pow (+ (* -1 (/ (* cosTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))) 2)) (pow (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) 3))) (/ (* (pow cosTheta_i 2) (pow (log (/ 1/2 v)) 3)) (* (pow v 2) (pow (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) 2)))))) (/ (* (pow (log (/ 1/2 v)) 3) (+ (* -1 (/ (* cosTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)))) (pow (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) 2)))) (/ (pow (log (/ 1/2 v)) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))
(fma.f32 cosTheta_O (-.f32 (*.f32 cosTheta_O (-.f32 (neg.f32 (*.f32 cosTheta_O (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 (+.f32 (neg.f32 (/.f32 (*.f32 cosTheta_i (log.f32 (/.f32 #s(literal 1/2 binary32) v))) v)) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 cosTheta_i (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))) v))) (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32)) (pow.f32 (+.f32 (neg.f32 (/.f32 (*.f32 cosTheta_i (log.f32 (/.f32 #s(literal 1/2 binary32) v))) v)) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 cosTheta_i (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))) v))) #s(literal 2 binary32))) (pow.f32 (fma.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) #s(literal 6931/10000 binary32)) (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) #s(literal 2 binary32))) #s(literal 3 binary32))) (*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_i) (*.f32 v v)) (/.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32)) (pow.f32 (fma.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) #s(literal 6931/10000 binary32)) (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) #s(literal 2 binary32))) #s(literal 2 binary32)))))) (fma.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) #s(literal 6931/10000 binary32)) (pow.f32 (-.f32 #s(literal 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#s(literal 1/2 binary32) v)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) #s(literal 6931/10000 binary32)) (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) #s(literal 2 binary32))) #s(literal 2 binary32))))))) (/.f32 (*.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32)) (+.f32 (neg.f32 (/.f32 (*.f32 cosTheta_i (log.f32 (/.f32 #s(literal 1/2 binary32) v))) v)) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 cosTheta_i (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))) v)))) (pow.f32 (fma.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) #s(literal 6931/10000 binary32)) (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) #s(literal 2 binary32))) #s(literal 2 binary32)))) (/.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32)) (fma.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) #s(literal 6931/10000 binary32)) (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) #s(literal 2 binary32)))))
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (+ (/ cosTheta_i v) (/ (log (/ 1/2 v)) cosTheta_O))) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(*.f32 cosTheta_O (-.f32 (fma.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_O) (+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O))) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (*.f32 cosTheta_O v))))
(* cosTheta_O (- (+ (/ cosTheta_i v) (/ (log (/ 1/2 v)) cosTheta_O)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))))
(*.f32 cosTheta_O (-.f32 (+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)) (*.f32 (/.f32 sinTheta_O cosTheta_O) (/.f32 sinTheta_i v))))
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(* cosTheta_O (- (+ (/ cosTheta_i v) (/ (* (pow v 2) (+ (* 2 (/ (* (pow cosTheta_i 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))) (/ (* (pow cosTheta_i 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2)))) (* cosTheta_O (pow cosTheta_i 2)))) (/ (* v (+ (* -1 (/ (* cosTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)))) (* cosTheta_O cosTheta_i))))
(*.f32 cosTheta_O (-.f32 (+.f32 (/.f32 cosTheta_i v) (*.f32 (/.f32 (*.f32 v v) cosTheta_O) (/.f32 (*.f32 #s(literal 3 binary32) (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_i) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))) (*.f32 v v))) (*.f32 cosTheta_i cosTheta_i)))) (*.f32 (/.f32 v cosTheta_O) (/.f32 (+.f32 (neg.f32 (/.f32 (*.f32 cosTheta_i (log.f32 (/.f32 #s(literal 1/2 binary32) v))) v)) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 cosTheta_i (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))) v))) cosTheta_i))))
(* cosTheta_O (- (+ (/ cosTheta_i v) (+ (/ (* (pow v 2) (+ (* 2 (/ (* cosTheta_i (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) v)) (/ (* cosTheta_i (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) v))) (* (pow cosTheta_O 2) (pow cosTheta_i 2))) (/ (* (pow v 2) (+ (* 2 (/ (* (pow cosTheta_i 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))) (/ (* (pow cosTheta_i 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2)))) (* cosTheta_O (pow cosTheta_i 2))))) (+ (/ (* v (+ (* -1 (/ (* cosTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)))) (* cosTheta_O cosTheta_i)) (+ (/ (* v (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))) (* (pow cosTheta_O 2) cosTheta_i)) (/ (* (pow v 2) (* (+ (* -1 (/ (* cosTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))) (- (/ (* (pow v 2) (+ (* 2 (/ (* (pow cosTheta_i 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))) (/ (* (pow cosTheta_i 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2)))) (pow cosTheta_i 2)) (/ (* v (+ (* -1 (/ (* cosTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)))) cosTheta_i)))) (* (pow cosTheta_O 2) (pow cosTheta_i 2)))))))
(*.f32 cosTheta_O (-.f32 (+.f32 (/.f32 cosTheta_i v) (fma.f32 (/.f32 (*.f32 v v) (*.f32 cosTheta_O cosTheta_O)) (/.f32 (*.f32 #s(literal 3 binary32) (/.f32 (*.f32 cosTheta_i (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) #s(literal 2 binary32))) v)) (*.f32 cosTheta_i cosTheta_i)) (*.f32 (/.f32 (*.f32 v v) cosTheta_O) (/.f32 (*.f32 #s(literal 3 binary32) (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_i) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))) (*.f32 v v))) (*.f32 cosTheta_i cosTheta_i))))) (fma.f32 (/.f32 v cosTheta_O) (/.f32 (+.f32 (neg.f32 (/.f32 (*.f32 cosTheta_i (log.f32 (/.f32 #s(literal 1/2 binary32) v))) v)) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 cosTheta_i (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))) v))) cosTheta_i) (fma.f32 (/.f32 v (*.f32 cosTheta_O cosTheta_O)) (/.f32 (fma.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) #s(literal 6931/10000 binary32)) (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) #s(literal 2 binary32))) cosTheta_i) (*.f32 (/.f32 (*.f32 v v) (*.f32 cosTheta_O cosTheta_O)) (/.f32 (*.f32 (+.f32 (neg.f32 (/.f32 (*.f32 cosTheta_i (log.f32 (/.f32 #s(literal 1/2 binary32) v))) v)) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 cosTheta_i (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))) v))) (-.f32 (/.f32 (*.f32 (*.f32 v v) (*.f32 #s(literal 3 binary32) (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_i) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))) (*.f32 v v)))) (*.f32 cosTheta_i cosTheta_i)) (/.f32 (*.f32 v (+.f32 (neg.f32 (/.f32 (*.f32 cosTheta_i (log.f32 (/.f32 #s(literal 1/2 binary32) v))) v)) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 cosTheta_i (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))) v)))) cosTheta_i))) (*.f32 cosTheta_i cosTheta_i)))))))
(* cosTheta_O (- (+ (/ cosTheta_i v) (+ (/ (* (pow v 2) (+ (* 2 (/ (* cosTheta_i (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) v)) (/ (* cosTheta_i (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) v))) (* (pow cosTheta_O 2) (pow cosTheta_i 2))) (+ (/ (* (pow v 2) (+ (* 2 (/ (* (pow cosTheta_i 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))) (/ (* (pow cosTheta_i 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2)))) (* cosTheta_O (pow cosTheta_i 2))) (/ (* (pow v 2) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3)) (* (pow cosTheta_O 3) (pow cosTheta_i 2)))))) (+ (/ (* v (+ (* -1 (/ (* cosTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)))) (* cosTheta_O cosTheta_i)) (+ (/ (* v (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))) (* (pow cosTheta_O 2) cosTheta_i)) (+ (/ (* (pow v 2) (* (+ (* -1 (/ (* cosTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))) (- (/ (* (pow v 2) (+ (* 2 (/ (* cosTheta_i (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) v)) (/ (* cosTheta_i (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) v))) (pow cosTheta_i 2)) (+ (/ (* v (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))) cosTheta_i) (/ (* (pow v 2) (* (+ (* -1 (/ (* cosTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))) (- (/ (* (pow v 2) (+ (* 2 (/ (* (pow cosTheta_i 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))) (/ (* (pow cosTheta_i 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2)))) (pow cosTheta_i 2)) (/ (* v (+ (* -1 (/ (* cosTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)))) cosTheta_i)))) (pow cosTheta_i 2)))))) (* (pow cosTheta_O 3) (pow cosTheta_i 2))) (+ (/ (* (pow v 2) (* (+ (* -1 (/ (* cosTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))) (- (/ (* (pow v 2) (+ (* 2 (/ (* (pow cosTheta_i 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))) (/ (* (pow cosTheta_i 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2)))) (pow cosTheta_i 2)) (/ (* v (+ (* -1 (/ (* cosTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)))) cosTheta_i)))) (* (pow cosTheta_O 2) (pow cosTheta_i 2))) (/ (* (pow v 2) (* (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (- (/ (* (pow v 2) (+ (* 2 (/ (* (pow cosTheta_i 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))) (/ (* (pow cosTheta_i 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2)))) (pow cosTheta_i 2)) (/ (* v (+ (* -1 (/ (* cosTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)))) cosTheta_i)))) (* (pow cosTheta_O 3) (pow cosTheta_i 2)))))))))
(*.f32 cosTheta_O (-.f32 (+.f32 (/.f32 cosTheta_i v) (fma.f32 (/.f32 (*.f32 v v) (*.f32 cosTheta_O cosTheta_O)) (/.f32 (*.f32 #s(literal 3 binary32) (/.f32 (*.f32 cosTheta_i (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) #s(literal 2 binary32))) v)) (*.f32 cosTheta_i cosTheta_i)) (fma.f32 (/.f32 (*.f32 v v) cosTheta_O) (/.f32 (*.f32 #s(literal 3 binary32) (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_i) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))) (*.f32 v v))) (*.f32 cosTheta_i cosTheta_i)) (*.f32 (/.f32 (*.f32 v v) (pow.f32 cosTheta_O #s(literal 3 binary32))) (/.f32 (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) #s(literal 3 binary32)) (*.f32 cosTheta_i cosTheta_i)))))) (fma.f32 (/.f32 v cosTheta_O) (/.f32 (+.f32 (neg.f32 (/.f32 (*.f32 cosTheta_i (log.f32 (/.f32 #s(literal 1/2 binary32) v))) v)) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 cosTheta_i (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))) v))) cosTheta_i) (fma.f32 (/.f32 v (*.f32 cosTheta_O cosTheta_O)) (/.f32 (fma.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) #s(literal 6931/10000 binary32)) (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) #s(literal 2 binary32))) cosTheta_i) (fma.f32 (/.f32 (*.f32 v v) (pow.f32 cosTheta_O #s(literal 3 binary32))) (/.f32 (*.f32 (+.f32 (neg.f32 (/.f32 (*.f32 cosTheta_i (log.f32 (/.f32 #s(literal 1/2 binary32) v))) v)) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 cosTheta_i (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))) v))) (-.f32 (/.f32 (*.f32 (*.f32 v v) (*.f32 #s(literal 3 binary32) (/.f32 (*.f32 cosTheta_i (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) #s(literal 2 binary32))) v))) (*.f32 cosTheta_i cosTheta_i)) (+.f32 (/.f32 (*.f32 v (fma.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) #s(literal 6931/10000 binary32)) (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) #s(literal 2 binary32)))) cosTheta_i) (/.f32 (*.f32 (*.f32 v v) (*.f32 (+.f32 (neg.f32 (/.f32 (*.f32 cosTheta_i (log.f32 (/.f32 #s(literal 1/2 binary32) v))) v)) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 cosTheta_i (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))) v))) (-.f32 (/.f32 (*.f32 (*.f32 v v) (*.f32 #s(literal 3 binary32) (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_i) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))) (*.f32 v v)))) (*.f32 cosTheta_i cosTheta_i)) (/.f32 (*.f32 v (+.f32 (neg.f32 (/.f32 (*.f32 cosTheta_i (log.f32 (/.f32 #s(literal 1/2 binary32) v))) v)) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 cosTheta_i (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))) v)))) cosTheta_i)))) (*.f32 cosTheta_i cosTheta_i))))) (*.f32 cosTheta_i cosTheta_i)) (fma.f32 (/.f32 (*.f32 v v) (*.f32 cosTheta_O cosTheta_O)) (/.f32 (*.f32 (+.f32 (neg.f32 (/.f32 (*.f32 cosTheta_i (log.f32 (/.f32 #s(literal 1/2 binary32) v))) v)) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 cosTheta_i (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))) v))) (-.f32 (/.f32 (*.f32 (*.f32 v v) (*.f32 #s(literal 3 binary32) (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_i) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))) (*.f32 v v)))) (*.f32 cosTheta_i cosTheta_i)) (/.f32 (*.f32 v (+.f32 (neg.f32 (/.f32 (*.f32 cosTheta_i (log.f32 (/.f32 #s(literal 1/2 binary32) v))) v)) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 cosTheta_i (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))) v)))) cosTheta_i))) (*.f32 cosTheta_i cosTheta_i)) (*.f32 (/.f32 (*.f32 v v) (pow.f32 cosTheta_O #s(literal 3 binary32))) (/.f32 (*.f32 (fma.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) #s(literal 6931/10000 binary32)) (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) #s(literal 2 binary32))) (-.f32 (/.f32 (*.f32 (*.f32 v v) (*.f32 #s(literal 3 binary32) (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_i) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))) (*.f32 v v)))) (*.f32 cosTheta_i cosTheta_i)) (/.f32 (*.f32 v (+.f32 (neg.f32 (/.f32 (*.f32 cosTheta_i (log.f32 (/.f32 #s(literal 1/2 binary32) v))) v)) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 cosTheta_i (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))) v)))) cosTheta_i))) (*.f32 cosTheta_i cosTheta_i)))))))))
(* (pow cosTheta_O 3) (+ (* 2 (/ (* (pow cosTheta_i 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (pow v 2)))) (+ (/ (* (pow cosTheta_i 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (pow v 2))) (/ (pow cosTheta_i 3) (pow v 3)))))
(*.f32 (pow.f32 cosTheta_O #s(literal 3 binary32)) (fma.f32 #s(literal 2 binary32) (*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_i) cosTheta_O) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) (*.f32 v v))) (fma.f32 (/.f32 (*.f32 cosTheta_i cosTheta_i) cosTheta_O) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) (*.f32 v v)) (pow.f32 (/.f32 cosTheta_i v) #s(literal 3 binary32)))))
(* (pow cosTheta_O 3) (+ (* 2 (/ (* cosTheta_i (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* (pow cosTheta_O 2) v))) (+ (* 2 (/ (* (pow cosTheta_i 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (pow v 2)))) (+ (/ (* cosTheta_i (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* (pow cosTheta_O 2) v)) (+ (/ (* (pow cosTheta_i 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (pow v 2))) (/ (pow cosTheta_i 3) (pow v 3)))))))
(*.f32 (pow.f32 cosTheta_O #s(literal 3 binary32)) (fma.f32 #s(literal 2 binary32) (*.f32 (/.f32 cosTheta_i (*.f32 cosTheta_O cosTheta_O)) (/.f32 (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) #s(literal 2 binary32)) v)) (fma.f32 #s(literal 2 binary32) (*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_i) cosTheta_O) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) (*.f32 v v))) (fma.f32 (/.f32 cosTheta_i (*.f32 cosTheta_O cosTheta_O)) (/.f32 (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) #s(literal 2 binary32)) v) (fma.f32 (/.f32 (*.f32 cosTheta_i cosTheta_i) cosTheta_O) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) (*.f32 v v)) (pow.f32 (/.f32 cosTheta_i v) #s(literal 3 binary32)))))))
(* (pow cosTheta_O 3) (+ (* 2 (/ (* cosTheta_i (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* (pow cosTheta_O 2) v))) (+ (* 2 (/ (* (pow cosTheta_i 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (pow v 2)))) (+ (/ (* cosTheta_i (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* (pow cosTheta_O 2) v)) (+ (/ (* (pow cosTheta_i 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (pow v 2))) (+ (/ (pow cosTheta_i 3) (pow v 3)) (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (pow cosTheta_O 3))))))))
(*.f32 (pow.f32 cosTheta_O #s(literal 3 binary32)) (fma.f32 #s(literal 2 binary32) (*.f32 (/.f32 cosTheta_i (*.f32 cosTheta_O cosTheta_O)) (/.f32 (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) #s(literal 2 binary32)) v)) (fma.f32 #s(literal 2 binary32) (*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_i) cosTheta_O) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) (*.f32 v v))) (fma.f32 (/.f32 cosTheta_i (*.f32 cosTheta_O cosTheta_O)) (/.f32 (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) #s(literal 2 binary32)) v) (fma.f32 (/.f32 (*.f32 cosTheta_i cosTheta_i) cosTheta_O) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) (*.f32 v v)) (+.f32 (pow.f32 (/.f32 cosTheta_i v) #s(literal 3 binary32)) (pow.f32 (/.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) cosTheta_O) #s(literal 3 binary32))))))))
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v)) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(*.f32 cosTheta_O (-.f32 (fma.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) cosTheta_O) (/.f32 cosTheta_i v)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (*.f32 cosTheta_O v))))
(* cosTheta_O (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v)))
(*.f32 cosTheta_O (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 sinTheta_O cosTheta_O) (/.f32 sinTheta_i v)) (/.f32 cosTheta_i v)))
(* (pow cosTheta_O 2) (+ (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O v))) (/ (pow cosTheta_i 2) (pow v 2))))
(*.f32 (*.f32 cosTheta_O cosTheta_O) (fma.f32 #s(literal 2 binary32) (*.f32 (/.f32 cosTheta_i cosTheta_O) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) v)) (/.f32 (*.f32 cosTheta_i cosTheta_i) (*.f32 v v))))
(* (pow cosTheta_O 2) (+ (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O v))) (+ (/ (pow cosTheta_i 2) (pow v 2)) (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (pow cosTheta_O 2)))))
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(/ (+ (* -1 (/ (* (pow v 4) (* (pow (log (/ 1/2 v)) 3) (+ (* -1 (/ (* cosTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))))) (* cosTheta_O (pow cosTheta_i 4)))) (/ (* (pow v 2) (pow (log (/ 1/2 v)) 3)) (pow cosTheta_i 2))) (pow cosTheta_O 2))
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(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (/ (* (pow v 2) (+ (* 2 (/ (* (pow cosTheta_i 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))) (/ (* (pow cosTheta_i 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2)))) (pow cosTheta_i 2)) (* -1 (/ (* v (+ (* -2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (/ (* cosTheta_i (log (/ 1/2 v))) v))) cosTheta_i))) cosTheta_O)))))
(neg.f32 (*.f32 cosTheta_O (*.f32 #s(literal -1 binary32) (+.f32 (/.f32 cosTheta_i v) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 v v) (*.f32 #s(literal 3 binary32) (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_i) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))) (*.f32 v v)))) (*.f32 cosTheta_i cosTheta_i)) (neg.f32 (/.f32 (*.f32 v (fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 cosTheta_i (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))) v) (/.f32 (*.f32 cosTheta_i (log.f32 (/.f32 #s(literal 1/2 binary32) v))) v))) cosTheta_i))) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ (* -1 (/ (- (/ (* (pow v 2) (+ (* -2 (/ (* cosTheta_i (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) v)) (* -1 (/ (* cosTheta_i (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) v)))) (pow cosTheta_i 2)) (+ (* -1 (/ (* v (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))) cosTheta_i)) (/ (* (pow v 2) (* (+ (* -2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (/ (* cosTheta_i (log (/ 1/2 v))) v)) (- (/ (* (pow v 2) (+ (* 2 (/ (* (pow cosTheta_i 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))) (/ (* (pow cosTheta_i 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2)))) (pow cosTheta_i 2)) (* -1 (/ (* v (+ (* -2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (/ (* cosTheta_i (log (/ 1/2 v))) v))) cosTheta_i))))) (pow cosTheta_i 2)))) cosTheta_O)) (/ (* (pow v 2) (+ (* 2 (/ (* (pow cosTheta_i 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))) (/ (* (pow cosTheta_i 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2)))) (pow cosTheta_i 2))) (* -1 (/ (* v (+ (* -2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (/ (* cosTheta_i (log (/ 1/2 v))) v))) cosTheta_i))) cosTheta_O)))))
(neg.f32 (*.f32 cosTheta_O (*.f32 #s(literal -1 binary32) (+.f32 (/.f32 cosTheta_i v) (/.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 v v) (*.f32 (/.f32 (*.f32 cosTheta_i (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) #s(literal 2 binary32))) v) #s(literal -3 binary32))) (*.f32 cosTheta_i cosTheta_i)) (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 v (fma.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) #s(literal 6931/10000 binary32)) (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) #s(literal 2 binary32)))) cosTheta_i) (/.f32 (*.f32 (*.f32 v v) (*.f32 (fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 cosTheta_i (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))) v) (/.f32 (*.f32 cosTheta_i (log.f32 (/.f32 #s(literal 1/2 binary32) v))) v)) (-.f32 (/.f32 (*.f32 (*.f32 v v) (*.f32 #s(literal 3 binary32) (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_i) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))) (*.f32 v v)))) (*.f32 cosTheta_i cosTheta_i)) (neg.f32 (/.f32 (*.f32 v (fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 cosTheta_i (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))) v) (/.f32 (*.f32 cosTheta_i (log.f32 (/.f32 #s(literal 1/2 binary32) v))) v))) cosTheta_i))))) (*.f32 cosTheta_i cosTheta_i)))) cosTheta_O) (/.f32 (*.f32 (*.f32 v v) (*.f32 #s(literal 3 binary32) (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_i) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))) (*.f32 v v)))) (*.f32 cosTheta_i cosTheta_i))) (neg.f32 (/.f32 (*.f32 v (fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 cosTheta_i (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))) v) (/.f32 (*.f32 cosTheta_i (log.f32 (/.f32 #s(literal 1/2 binary32) v))) v))) cosTheta_i))) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (/ (* (pow v 2) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3)) (pow cosTheta_i 2)) (+ (/ (* (pow v 2) (* (+ (* -2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (/ (* cosTheta_i (log (/ 1/2 v))) v)) (- (/ (* (pow v 2) (+ (* -2 (/ (* cosTheta_i (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) v)) (* -1 (/ (* cosTheta_i (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) v)))) (pow cosTheta_i 2)) (+ (* -1 (/ (* v (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))) cosTheta_i)) (/ (* (pow v 2) (* (+ (* -2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (/ (* cosTheta_i (log (/ 1/2 v))) v)) (- (/ (* (pow v 2) (+ (* 2 (/ (* (pow cosTheta_i 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))) (/ (* (pow cosTheta_i 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2)))) (pow cosTheta_i 2)) (* -1 (/ (* v (+ (* -2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (/ (* cosTheta_i (log (/ 1/2 v))) v))) cosTheta_i))))) (pow cosTheta_i 2)))))) (pow cosTheta_i 2)) (/ (* (pow v 2) (* (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (- (/ (* (pow v 2) (+ (* 2 (/ (* (pow cosTheta_i 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))) (/ (* (pow cosTheta_i 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2)))) (pow cosTheta_i 2)) (* -1 (/ (* v (+ (* -2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (/ (* cosTheta_i (log (/ 1/2 v))) v))) cosTheta_i))))) (pow cosTheta_i 2)))) cosTheta_O)) (/ (* (pow v 2) (+ (* -2 (/ (* cosTheta_i (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) v)) (* -1 (/ (* cosTheta_i (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) v)))) (pow cosTheta_i 2))) (+ (* -1 (/ (* v (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))) cosTheta_i)) (/ (* (pow v 2) (* (+ (* -2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (/ (* cosTheta_i (log (/ 1/2 v))) v)) (- (/ (* (pow v 2) (+ (* 2 (/ (* (pow cosTheta_i 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))) (/ (* (pow cosTheta_i 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2)))) (pow cosTheta_i 2)) (* -1 (/ (* v (+ (* -2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (/ (* cosTheta_i (log (/ 1/2 v))) v))) cosTheta_i))))) (pow cosTheta_i 2)))) cosTheta_O)) (/ (* (pow v 2) (+ (* 2 (/ (* (pow cosTheta_i 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))) (/ (* (pow cosTheta_i 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2)))) (pow cosTheta_i 2))) (* -1 (/ (* v (+ (* -2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (/ (* cosTheta_i (log (/ 1/2 v))) v))) cosTheta_i))) cosTheta_O)))))
(neg.f32 (*.f32 cosTheta_O (*.f32 #s(literal -1 binary32) (+.f32 (/.f32 cosTheta_i v) (/.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 v v) (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) #s(literal 3 binary32))) (*.f32 cosTheta_i cosTheta_i)) (/.f32 (fma.f32 (*.f32 v v) (*.f32 (fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 cosTheta_i (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))) v) (/.f32 (*.f32 cosTheta_i (log.f32 (/.f32 #s(literal 1/2 binary32) v))) v)) (-.f32 (/.f32 (*.f32 (*.f32 v v) (*.f32 (/.f32 (*.f32 cosTheta_i (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) #s(literal 2 binary32))) v) #s(literal -3 binary32))) (*.f32 cosTheta_i cosTheta_i)) (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 v (fma.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) #s(literal 6931/10000 binary32)) (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) #s(literal 2 binary32)))) cosTheta_i) (/.f32 (*.f32 (*.f32 v v) (*.f32 (fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 cosTheta_i (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))) v) (/.f32 (*.f32 cosTheta_i (log.f32 (/.f32 #s(literal 1/2 binary32) v))) v)) (-.f32 (/.f32 (*.f32 (*.f32 v v) (*.f32 #s(literal 3 binary32) (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_i) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))) (*.f32 v v)))) (*.f32 cosTheta_i cosTheta_i)) (neg.f32 (/.f32 (*.f32 v (fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 cosTheta_i (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))) v) (/.f32 (*.f32 cosTheta_i (log.f32 (/.f32 #s(literal 1/2 binary32) v))) v))) cosTheta_i))))) (*.f32 cosTheta_i cosTheta_i))))) (*.f32 (*.f32 v v) (*.f32 (fma.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) #s(literal 6931/10000 binary32)) (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) #s(literal 2 binary32))) (-.f32 (/.f32 (*.f32 (*.f32 v v) (*.f32 #s(literal 3 binary32) (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_i) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))) (*.f32 v v)))) (*.f32 cosTheta_i cosTheta_i)) (neg.f32 (/.f32 (*.f32 v (fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 cosTheta_i (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))) v) (/.f32 (*.f32 cosTheta_i (log.f32 (/.f32 #s(literal 1/2 binary32) v))) v))) cosTheta_i)))))) (*.f32 cosTheta_i cosTheta_i))) cosTheta_O) (/.f32 (*.f32 (*.f32 v v) (*.f32 (/.f32 (*.f32 cosTheta_i (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) #s(literal 2 binary32))) v) #s(literal -3 binary32))) (*.f32 cosTheta_i cosTheta_i))) (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 v (fma.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) #s(literal 6931/10000 binary32)) (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) #s(literal 2 binary32)))) cosTheta_i) (/.f32 (*.f32 (*.f32 v v) (*.f32 (fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 cosTheta_i (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))) v) (/.f32 (*.f32 cosTheta_i (log.f32 (/.f32 #s(literal 1/2 binary32) v))) v)) (-.f32 (/.f32 (*.f32 (*.f32 v v) (*.f32 #s(literal 3 binary32) (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_i) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))) (*.f32 v v)))) (*.f32 cosTheta_i cosTheta_i)) (neg.f32 (/.f32 (*.f32 v (fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 cosTheta_i (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))) v) (/.f32 (*.f32 cosTheta_i (log.f32 (/.f32 #s(literal 1/2 binary32) v))) v))) cosTheta_i))))) (*.f32 cosTheta_i cosTheta_i)))) cosTheta_O) (/.f32 (*.f32 (*.f32 v v) (*.f32 #s(literal 3 binary32) (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_i) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))) (*.f32 v v)))) (*.f32 cosTheta_i cosTheta_i))) (neg.f32 (/.f32 (*.f32 v (fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 cosTheta_i (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))) v) (/.f32 (*.f32 cosTheta_i (log.f32 (/.f32 #s(literal 1/2 binary32) v))) v))) cosTheta_i))) cosTheta_O)))))
(* -1 (* (pow cosTheta_O 3) (+ (* -1 (/ (+ (* 2 (/ (* (pow cosTheta_i 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))) (/ (* (pow cosTheta_i 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))) cosTheta_O)) (* -1 (/ (pow cosTheta_i 3) (pow v 3))))))
(neg.f32 (*.f32 (pow.f32 cosTheta_O #s(literal 3 binary32)) (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 #s(literal 3 binary32) (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_i) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))) (*.f32 v v))) cosTheta_O) (neg.f32 (pow.f32 (/.f32 cosTheta_i v) #s(literal 3 binary32))))))
(* -1 (* (pow cosTheta_O 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* cosTheta_i (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) v)) (* -1 (/ (* cosTheta_i (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) v))) cosTheta_O)) (+ (* 2 (/ (* (pow cosTheta_i 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))) (/ (* (pow cosTheta_i 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2)))) cosTheta_O)) (* -1 (/ (pow cosTheta_i 3) (pow v 3))))))
(neg.f32 (*.f32 (pow.f32 cosTheta_O #s(literal 3 binary32)) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 (/.f32 (*.f32 cosTheta_i (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) #s(literal 2 binary32))) v) #s(literal -3 binary32)) cosTheta_O) (*.f32 #s(literal 3 binary32) (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_i) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))) (*.f32 v v)))) cosTheta_O) (neg.f32 (pow.f32 (/.f32 cosTheta_i v) #s(literal 3 binary32))))))
(* -1 (* (pow cosTheta_O 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* cosTheta_i (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) v)) (+ (* -1 (/ (* cosTheta_i (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) v)) (* -1 (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) cosTheta_O)))) cosTheta_O)) (+ (* 2 (/ (* (pow cosTheta_i 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))) (/ (* (pow cosTheta_i 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2)))) cosTheta_O)) (* -1 (/ (pow cosTheta_i 3) (pow v 3))))))
(neg.f32 (*.f32 (pow.f32 cosTheta_O #s(literal 3 binary32)) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 cosTheta_i (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) #s(literal 2 binary32))) v) (*.f32 #s(literal -1 binary32) (+.f32 (/.f32 (*.f32 cosTheta_i (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) #s(literal 2 binary32))) v) (/.f32 (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) #s(literal 3 binary32)) cosTheta_O)))) cosTheta_O) (*.f32 #s(literal 3 binary32) (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_i) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))) (*.f32 v v)))) cosTheta_O) (neg.f32 (pow.f32 (/.f32 cosTheta_i v) #s(literal 3 binary32))))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
(neg.f32 (*.f32 cosTheta_O (*.f32 #s(literal -1 binary32) (+.f32 (/.f32 cosTheta_i v) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(neg.f32 (*.f32 cosTheta_O (fma.f32 #s(literal -1 binary32) (/.f32 cosTheta_i v) (*.f32 (/.f32 sinTheta_O cosTheta_O) (/.f32 sinTheta_i v)))))
(* (pow cosTheta_O 2) (+ (* -1 (/ (+ (* -2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* -1 (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) cosTheta_O))) cosTheta_O)) (/ (pow cosTheta_i 2) (pow v 2))))
(*.f32 (*.f32 cosTheta_O cosTheta_O) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 cosTheta_i (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))) v) (neg.f32 (/.f32 (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) #s(literal 2 binary32)) cosTheta_O))) cosTheta_O) (/.f32 (*.f32 cosTheta_i cosTheta_i) (*.f32 v v))))
(/ (+ (/ (* (pow v 2) (pow (log (/ 1/2 v)) 3)) (pow cosTheta_i 2)) (/ (* (pow v 4) (* (pow (log (/ 1/2 v)) 3) (+ (* -2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (/ (* cosTheta_i (log (/ 1/2 v))) v)))) (* cosTheta_O (pow cosTheta_i 4)))) (pow cosTheta_O 2))
(/.f32 (+.f32 (/.f32 (*.f32 (*.f32 v v) (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32))) (*.f32 cosTheta_i cosTheta_i)) (*.f32 (/.f32 (pow.f32 v #s(literal 4 binary32)) cosTheta_O) (/.f32 (*.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32)) (fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 cosTheta_i (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))) v) (/.f32 (*.f32 cosTheta_i (log.f32 (/.f32 #s(literal 1/2 binary32) v))) v))) (pow.f32 cosTheta_i #s(literal 4 binary32))))) (*.f32 cosTheta_O cosTheta_O))
(/ (+ (* -1 (/ (- (+ (* -1 (/ (* (pow v 6) (* (pow (log (/ 1/2 v)) 3) (pow (+ (* -2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (/ (* cosTheta_i (log (/ 1/2 v))) v)) 2))) (* cosTheta_O (pow cosTheta_i 6)))) (/ (* (pow v 4) (* (pow (log (/ 1/2 v)) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (* cosTheta_O (pow cosTheta_i 4)))) (/ (* (pow v 4) (* (pow (log (/ 1/2 v)) 3) (+ (* -2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (/ (* cosTheta_i (log (/ 1/2 v))) v)))) (pow cosTheta_i 4))) cosTheta_O)) (/ (* (pow v 2) (pow (log (/ 1/2 v)) 3)) (pow cosTheta_i 2))) (pow cosTheta_O 2))
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(* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ (log (/ 1/2 v)) sinTheta_i) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(*.f32 sinTheta_i (-.f32 (fma.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) sinTheta_i) (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) sinTheta_i) (*.f32 (/.f32 cosTheta_O sinTheta_i) (/.f32 cosTheta_i v)))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_i v)) (/.f32 sinTheta_O v))))
(* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (log (/ 1/2 v)) sinTheta_i)) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(*.f32 sinTheta_i (-.f32 (fma.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) sinTheta_i) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) sinTheta_i)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_i v)) (/.f32 sinTheta_O v))))
(* sinTheta_i (- (+ (/ (log (/ 1/2 v)) sinTheta_i) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ sinTheta_O v)))
(*.f32 sinTheta_i (-.f32 (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) sinTheta_i) (*.f32 (/.f32 cosTheta_O sinTheta_i) (/.f32 cosTheta_i v))) (/.f32 sinTheta_O v)))
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(+ (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (+ (* -1 (/ (* (pow v 4) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (* (pow (log (/ 1/2 v)) 3) (+ (* -2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_O (log (/ 1/2 v))) v))))) (* (pow sinTheta_O 4) (pow sinTheta_i 3)))) (/ (* (pow v 2) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (pow (log (/ 1/2 v)) 3))) (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))
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(+ (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (+ (* -1 (/ (* (pow v 4) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (* (pow (log (/ 1/2 v)) 3) (+ (* -2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_O (log (/ 1/2 v))) v))))) (* (pow sinTheta_O 4) (pow sinTheta_i 3)))) (+ (/ (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (+ (* -1 (+ (* -1 (/ (* (pow v 6) (* (pow (log (/ 1/2 v)) 3) (pow (+ (* -2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_O (log (/ 1/2 v))) v)) 2))) (pow sinTheta_O 6))) (/ (* (pow v 4) (* (pow (log (/ 1/2 v)) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)))) (pow sinTheta_O 4)))) (* 1/2 (/ (* (pow v 4) (pow (log (/ 1/2 v)) 6)) (pow sinTheta_O 4))))) (pow sinTheta_i 4)) (/ (* (pow v 2) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (pow (log (/ 1/2 v)) 3))) (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))
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(* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (/ (* (pow v 2) (+ (* 2 (/ (* (pow sinTheta_O 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2))) (/ (* (pow sinTheta_O 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2)))) (* (pow sinTheta_O 2) sinTheta_i))) (* -1 (/ (* v (+ (* -2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_O (log (/ 1/2 v))) v))) (* sinTheta_O sinTheta_i)))))
(*.f32 sinTheta_i (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v) (/.f32 (*.f32 (*.f32 v v) (*.f32 #s(literal 3 binary32) (/.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) (*.f32 v v)))) (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i))) (neg.f32 (*.f32 (/.f32 v sinTheta_O) (/.f32 (fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 sinTheta_O (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) v) (/.f32 (*.f32 sinTheta_O (log.f32 (/.f32 #s(literal 1/2 binary32) v))) v)) sinTheta_i)))))
(* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (+ (/ (* (pow v 2) (+ (* -2 (/ (* sinTheta_O (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) v)) (* -1 (/ (* sinTheta_O (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) v)))) (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (/ (* (pow v 2) (+ (* 2 (/ (* (pow sinTheta_O 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2))) (/ (* (pow sinTheta_O 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2)))) (* (pow sinTheta_O 2) sinTheta_i)))) (+ (* -1 (/ (* v (+ (* -2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_O (log (/ 1/2 v))) v))) (* sinTheta_O sinTheta_i))) (+ (* -1 (/ (* v (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2))) (* sinTheta_O (pow sinTheta_i 2)))) (/ (* (pow v 2) (* (+ (* -2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_O (log (/ 1/2 v))) v)) (- (/ (* (pow v 2) (+ (* 2 (/ (* (pow sinTheta_O 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2))) (/ (* (pow sinTheta_O 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2)))) (pow sinTheta_O 2)) (* -1 (/ (* v (+ (* -2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_O (log (/ 1/2 v))) v))) sinTheta_O))))) (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))
(*.f32 sinTheta_i (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v) (fma.f32 (/.f32 (*.f32 v v) (*.f32 sinTheta_O sinTheta_O)) (/.f32 (*.f32 (/.f32 (*.f32 sinTheta_O (pow.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) v) #s(literal -3 binary32)) (*.f32 sinTheta_i sinTheta_i)) (/.f32 (*.f32 (*.f32 v v) (*.f32 #s(literal 3 binary32) (/.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) (*.f32 v v)))) (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i)))) (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 v sinTheta_O) (/.f32 (fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 sinTheta_O (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) v) (/.f32 (*.f32 sinTheta_O (log.f32 (/.f32 #s(literal 1/2 binary32) v))) v)) sinTheta_i)) (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 v sinTheta_O) (/.f32 (fma.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (pow.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (*.f32 sinTheta_i sinTheta_i))) (*.f32 (/.f32 (*.f32 v v) (*.f32 sinTheta_O sinTheta_O)) (/.f32 (*.f32 (fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 sinTheta_O (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) v) (/.f32 (*.f32 sinTheta_O (log.f32 (/.f32 #s(literal 1/2 binary32) v))) v)) (-.f32 (/.f32 (*.f32 (*.f32 v v) (*.f32 #s(literal 3 binary32) (/.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) (*.f32 v v)))) (*.f32 sinTheta_O sinTheta_O)) (neg.f32 (/.f32 (*.f32 v (fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 sinTheta_O (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) v) (/.f32 (*.f32 sinTheta_O (log.f32 (/.f32 #s(literal 1/2 binary32) v))) v))) sinTheta_O)))) (*.f32 sinTheta_i sinTheta_i)))))))
(* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (+ (/ (* (pow v 2) (+ (* -2 (/ (* sinTheta_O (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) v)) (* -1 (/ (* sinTheta_O (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) v)))) (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (+ (/ (* (pow v 2) (+ (* 2 (/ (* (pow sinTheta_O 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2))) (/ (* (pow sinTheta_O 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2)))) (* (pow sinTheta_O 2) sinTheta_i)) (/ (* (pow v 2) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 3)) (* (pow sinTheta_O 2) (pow sinTheta_i 3)))))) (+ (* -1 (/ (* v (+ (* -2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_O (log (/ 1/2 v))) v))) (* sinTheta_O sinTheta_i))) (+ (* -1 (/ (* v (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2))) (* sinTheta_O (pow sinTheta_i 2)))) (+ (/ (* (pow v 2) (* (+ (* -2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_O (log (/ 1/2 v))) v)) (- (/ (* (pow v 2) (+ (* -2 (/ (* sinTheta_O (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) v)) (* -1 (/ (* sinTheta_O (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) v)))) (pow sinTheta_O 2)) (+ (* -1 (/ (* v (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2))) sinTheta_O)) (/ (* (pow v 2) (* (+ (* -2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_O (log (/ 1/2 v))) v)) (- (/ (* (pow v 2) (+ (* 2 (/ (* (pow sinTheta_O 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2))) (/ (* (pow sinTheta_O 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2)))) (pow sinTheta_O 2)) (* -1 (/ (* v (+ (* -2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_O (log (/ 1/2 v))) v))) sinTheta_O))))) (pow sinTheta_O 2)))))) (* (pow sinTheta_O 2) (pow sinTheta_i 3))) (+ (/ (* (pow v 2) (* (+ (* -2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_O (log (/ 1/2 v))) v)) (- (/ (* (pow v 2) (+ (* 2 (/ (* (pow sinTheta_O 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2))) (/ (* (pow sinTheta_O 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2)))) (pow sinTheta_O 2)) (* -1 (/ (* v (+ (* -2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_O (log (/ 1/2 v))) v))) sinTheta_O))))) (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (/ (* (pow v 2) (* (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (- (/ (* (pow v 2) (+ (* 2 (/ (* (pow sinTheta_O 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2))) (/ (* (pow sinTheta_O 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2)))) (pow sinTheta_O 2)) (* -1 (/ (* v (+ (* -2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_O (log (/ 1/2 v))) v))) sinTheta_O))))) (* (pow sinTheta_O 2) (pow sinTheta_i 3)))))))))
(*.f32 sinTheta_i (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v) (fma.f32 (/.f32 (*.f32 v v) (*.f32 sinTheta_O sinTheta_O)) (/.f32 (*.f32 (/.f32 (*.f32 sinTheta_O (pow.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) v) #s(literal -3 binary32)) (*.f32 sinTheta_i sinTheta_i)) (fma.f32 (/.f32 (*.f32 v v) (*.f32 sinTheta_O sinTheta_O)) (/.f32 (*.f32 #s(literal 3 binary32) (/.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) (*.f32 v v))) sinTheta_i) (*.f32 (/.f32 (*.f32 v v) (*.f32 sinTheta_O sinTheta_O)) (pow.f32 (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)) sinTheta_i) #s(literal 3 binary32)))))) (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 v sinTheta_O) (/.f32 (fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 sinTheta_O (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) v) (/.f32 (*.f32 sinTheta_O (log.f32 (/.f32 #s(literal 1/2 binary32) v))) v)) sinTheta_i)) (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 v sinTheta_O) (/.f32 (fma.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (pow.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (*.f32 sinTheta_i sinTheta_i))) (fma.f32 (/.f32 (*.f32 v v) (*.f32 sinTheta_O sinTheta_O)) (/.f32 (*.f32 (fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 sinTheta_O (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) v) (/.f32 (*.f32 sinTheta_O (log.f32 (/.f32 #s(literal 1/2 binary32) v))) v)) (-.f32 (/.f32 (*.f32 (*.f32 v v) (*.f32 (/.f32 (*.f32 sinTheta_O (pow.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) v) #s(literal -3 binary32))) (*.f32 sinTheta_O sinTheta_O)) (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 v (fma.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (pow.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))) sinTheta_O) (/.f32 (*.f32 (*.f32 v v) (*.f32 (fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 sinTheta_O (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) v) (/.f32 (*.f32 sinTheta_O (log.f32 (/.f32 #s(literal 1/2 binary32) v))) v)) (-.f32 (/.f32 (*.f32 (*.f32 v v) (*.f32 #s(literal 3 binary32) (/.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) (*.f32 v v)))) (*.f32 sinTheta_O sinTheta_O)) (neg.f32 (/.f32 (*.f32 v (fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 sinTheta_O (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) v) (/.f32 (*.f32 sinTheta_O (log.f32 (/.f32 #s(literal 1/2 binary32) v))) v))) sinTheta_O))))) (*.f32 sinTheta_O sinTheta_O))))) (pow.f32 sinTheta_i #s(literal 3 binary32))) (fma.f32 (/.f32 (*.f32 v v) (*.f32 sinTheta_O sinTheta_O)) (/.f32 (*.f32 (fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 sinTheta_O (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) v) (/.f32 (*.f32 sinTheta_O (log.f32 (/.f32 #s(literal 1/2 binary32) v))) v)) (-.f32 (/.f32 (*.f32 (*.f32 v v) (*.f32 #s(literal 3 binary32) (/.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) (*.f32 v v)))) (*.f32 sinTheta_O sinTheta_O)) (neg.f32 (/.f32 (*.f32 v (fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 sinTheta_O (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) v) (/.f32 (*.f32 sinTheta_O (log.f32 (/.f32 #s(literal 1/2 binary32) v))) v))) sinTheta_O)))) (*.f32 sinTheta_i sinTheta_i)) (*.f32 (/.f32 (*.f32 v v) (*.f32 sinTheta_O sinTheta_O)) (/.f32 (*.f32 (fma.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (pow.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (-.f32 (/.f32 (*.f32 (*.f32 v v) (*.f32 #s(literal 3 binary32) (/.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) (*.f32 v v)))) (*.f32 sinTheta_O sinTheta_O)) (neg.f32 (/.f32 (*.f32 v (fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 sinTheta_O (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) v) (/.f32 (*.f32 sinTheta_O (log.f32 (/.f32 #s(literal 1/2 binary32) v))) v))) sinTheta_O)))) (pow.f32 sinTheta_i #s(literal 3 binary32))))))))))
(* -1 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (pow v 3)))
(neg.f32 (/.f32 (pow.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 3 binary32)) (pow.f32 v #s(literal 3 binary32))))
(* (pow sinTheta_i 3) (+ (* -1 (/ (pow sinTheta_O 3) (pow v 3))) (+ (* 2 (/ (* (pow sinTheta_O 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_i (pow v 2)))) (/ (* (pow sinTheta_O 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_i (pow v 2))))))
(*.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) (+.f32 (neg.f32 (pow.f32 (/.f32 sinTheta_O v) #s(literal 3 binary32))) (*.f32 #s(literal 3 binary32) (/.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) (*.f32 sinTheta_i (*.f32 v v))))))
(* (pow sinTheta_i 3) (+ (* -2 (/ (* sinTheta_O (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* (pow sinTheta_i 2) v))) (+ (* -1 (/ (* sinTheta_O (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* (pow sinTheta_i 2) v))) (+ (* -1 (/ (pow sinTheta_O 3) (pow v 3))) (+ (* 2 (/ (* (pow sinTheta_O 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_i (pow v 2)))) (/ (* (pow sinTheta_O 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_i (pow v 2))))))))
(*.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) (fma.f32 #s(literal -2 binary32) (*.f32 (/.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) (/.f32 (pow.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)) (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) (/.f32 (pow.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)) (+.f32 (neg.f32 (pow.f32 (/.f32 sinTheta_O v) #s(literal 3 binary32))) (*.f32 #s(literal 3 binary32) (/.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) (*.f32 sinTheta_i (*.f32 v v))))))))
(* (pow sinTheta_i 3) (+ (* -2 (/ (* sinTheta_O (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* (pow sinTheta_i 2) v))) (+ (* -1 (/ (* sinTheta_O (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* (pow sinTheta_i 2) v))) (+ (* -1 (/ (pow sinTheta_O 3) (pow v 3))) (+ (* 2 (/ (* (pow sinTheta_O 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_i (pow v 2)))) (+ (/ (* (pow sinTheta_O 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_i (pow v 2))) (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 3) (pow sinTheta_i 3))))))))
(*.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) (fma.f32 #s(literal -2 binary32) (*.f32 (/.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) (/.f32 (pow.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)) (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) (/.f32 (pow.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)) (fma.f32 #s(literal -1 binary32) (pow.f32 (/.f32 sinTheta_O v) #s(literal 3 binary32)) (fma.f32 #s(literal 2 binary32) (/.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) (*.f32 sinTheta_i (*.f32 v v))) (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)) (*.f32 v v)) (pow.f32 (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)) sinTheta_i) #s(literal 3 binary32))))))))
(* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(*.f32 sinTheta_i (-.f32 (fma.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) sinTheta_i) (*.f32 (/.f32 cosTheta_O sinTheta_i) (/.f32 cosTheta_i v))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_i v)) (/.f32 sinTheta_O v))))
(* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))
(*.f32 sinTheta_i (fma.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v) (*.f32 (/.f32 cosTheta_O sinTheta_i) (/.f32 cosTheta_i v))))
(/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))
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(* -1 (* sinTheta_i (+ (* -1 (/ (- (+ (* -1 (/ (- (/ (* (pow v 2) (+ (* 2 (/ (* sinTheta_O (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) v)) (/ (* sinTheta_O (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) v))) (pow sinTheta_O 2)) (+ (/ (* v (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2))) sinTheta_O) (/ (* (pow v 2) (* (+ (* -1 (/ (* sinTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v))) (- (/ (* (pow v 2) (+ (* 2 (/ (* (pow sinTheta_O 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2))) (/ (* (pow sinTheta_O 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2)))) (pow sinTheta_O 2)) (/ (* v (+ (* -1 (/ (* sinTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)))) sinTheta_O)))) (pow sinTheta_O 2)))) sinTheta_i)) (/ (* (pow v 2) (+ (* 2 (/ (* (pow sinTheta_O 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2))) (/ (* (pow sinTheta_O 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2)))) (pow sinTheta_O 2))) (/ (* v (+ (* -1 (/ (* sinTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)))) sinTheta_O)) sinTheta_i)) (/ sinTheta_O v))))
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(* -1 (* sinTheta_i (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (/ (* (pow v 2) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 3)) (pow sinTheta_O 2)) (+ (/ (* (pow v 2) (* (+ (* -1 (/ (* sinTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v))) (- (/ (* (pow v 2) (+ (* 2 (/ (* sinTheta_O (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) v)) (/ (* sinTheta_O (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) v))) (pow sinTheta_O 2)) (+ (/ (* v (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2))) sinTheta_O) (/ (* (pow v 2) (* (+ (* -1 (/ (* sinTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v))) (- (/ (* (pow v 2) (+ (* 2 (/ (* (pow sinTheta_O 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2))) (/ (* (pow sinTheta_O 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2)))) (pow sinTheta_O 2)) (/ (* v (+ (* -1 (/ (* sinTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)))) sinTheta_O)))) (pow sinTheta_O 2)))))) (pow sinTheta_O 2)) (/ (* (pow v 2) (* (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (- (/ (* (pow v 2) (+ (* 2 (/ (* (pow sinTheta_O 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2))) (/ (* (pow sinTheta_O 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2)))) (pow sinTheta_O 2)) (/ (* v (+ (* -1 (/ (* sinTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)))) sinTheta_O)))) (pow sinTheta_O 2)))) sinTheta_i)) (/ (* (pow v 2) (+ (* 2 (/ (* sinTheta_O (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) v)) (/ (* sinTheta_O (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) v))) (pow sinTheta_O 2))) (+ (/ (* v (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2))) sinTheta_O) (/ (* (pow v 2) (* (+ (* -1 (/ (* sinTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v))) (- (/ (* (pow v 2) (+ (* 2 (/ (* (pow sinTheta_O 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2))) (/ (* (pow sinTheta_O 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2)))) (pow sinTheta_O 2)) (/ (* v (+ (* -1 (/ (* sinTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)))) sinTheta_O)))) (pow sinTheta_O 2)))) sinTheta_i)) (/ (* (pow v 2) (+ (* 2 (/ (* (pow sinTheta_O 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2))) (/ (* (pow sinTheta_O 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2)))) (pow sinTheta_O 2))) (/ (* v (+ (* -1 (/ (* sinTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)))) sinTheta_O)) sinTheta_i)) (/ sinTheta_O v))))
(neg.f32 (*.f32 sinTheta_i (fma.f32 #s(literal -1 binary32) (/.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 v v) (pow.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 3 binary32))) (*.f32 sinTheta_O sinTheta_O)) (/.f32 (fma.f32 (*.f32 v v) (*.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O (log.f32 (/.f32 #s(literal 1/2 binary32) v))) v) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 sinTheta_O (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) v))) (-.f32 (/.f32 (*.f32 (*.f32 v v) (*.f32 #s(literal 3 binary32) (/.f32 (*.f32 sinTheta_O (pow.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) v))) (*.f32 sinTheta_O sinTheta_O)) (+.f32 (/.f32 (*.f32 v (fma.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (pow.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))) sinTheta_O) (/.f32 (*.f32 (*.f32 v v) (*.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O (log.f32 (/.f32 #s(literal 1/2 binary32) v))) v) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 sinTheta_O (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) v))) (-.f32 (/.f32 (*.f32 (*.f32 v v) (*.f32 #s(literal 3 binary32) (/.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) (*.f32 v v)))) (*.f32 sinTheta_O sinTheta_O)) (/.f32 (*.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O (log.f32 (/.f32 #s(literal 1/2 binary32) v))) v) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 sinTheta_O (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) v)))) sinTheta_O)))) (*.f32 sinTheta_O sinTheta_O))))) (*.f32 (*.f32 v v) (*.f32 (fma.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (pow.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (-.f32 (/.f32 (*.f32 (*.f32 v v) (*.f32 #s(literal 3 binary32) (/.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) (*.f32 v v)))) (*.f32 sinTheta_O sinTheta_O)) (/.f32 (*.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O (log.f32 (/.f32 #s(literal 1/2 binary32) v))) v) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 sinTheta_O (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) v)))) sinTheta_O))))) (*.f32 sinTheta_O sinTheta_O))) sinTheta_i) (/.f32 (*.f32 (*.f32 v v) (*.f32 #s(literal 3 binary32) (/.f32 (*.f32 sinTheta_O (pow.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) v))) (*.f32 sinTheta_O sinTheta_O))) (+.f32 (/.f32 (*.f32 v (fma.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (pow.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))) sinTheta_O) (/.f32 (*.f32 (*.f32 v v) (*.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O (log.f32 (/.f32 #s(literal 1/2 binary32) v))) v) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 sinTheta_O (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) v))) (-.f32 (/.f32 (*.f32 (*.f32 v v) (*.f32 #s(literal 3 binary32) (/.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) (*.f32 v v)))) (*.f32 sinTheta_O sinTheta_O)) (/.f32 (*.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O (log.f32 (/.f32 #s(literal 1/2 binary32) v))) v) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 sinTheta_O (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) v)))) sinTheta_O)))) (*.f32 sinTheta_O sinTheta_O)))) sinTheta_i) (/.f32 (*.f32 (*.f32 v v) (*.f32 #s(literal 3 binary32) (/.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) (*.f32 v v)))) (*.f32 sinTheta_O sinTheta_O))) (/.f32 (*.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O (log.f32 (/.f32 #s(literal 1/2 binary32) v))) v) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 sinTheta_O (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) v)))) sinTheta_O)) sinTheta_i) (/.f32 sinTheta_O v))))
(* -1 (* (pow sinTheta_i 3) (+ (* -1 (/ (+ (* 2 (/ (* (pow sinTheta_O 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2))) (/ (* (pow sinTheta_O 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2))) sinTheta_i)) (/ (pow sinTheta_O 3) (pow v 3)))))
(neg.f32 (*.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 #s(literal 3 binary32) (/.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) (*.f32 v v))) sinTheta_i) (pow.f32 (/.f32 sinTheta_O v) #s(literal 3 binary32)))))
(* -1 (* (pow sinTheta_i 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* 2 (/ (* sinTheta_O (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) v)) (/ (* sinTheta_O (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) v)) sinTheta_i)) (+ (* 2 (/ (* (pow sinTheta_O 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2))) (/ (* (pow sinTheta_O 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2)))) sinTheta_i)) (/ (pow sinTheta_O 3) (pow v 3)))))
(neg.f32 (*.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 #s(literal 3 binary32) (/.f32 (*.f32 sinTheta_O (pow.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) v)) sinTheta_i) (*.f32 #s(literal 3 binary32) (/.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) (*.f32 v v)))) sinTheta_i) (pow.f32 (/.f32 sinTheta_O v) #s(literal 3 binary32)))))
(* -1 (* (pow sinTheta_i 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 3) sinTheta_i)) (+ (* 2 (/ (* sinTheta_O (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) v)) (/ (* sinTheta_O (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) v))) sinTheta_i)) (+ (* 2 (/ (* (pow sinTheta_O 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2))) (/ (* (pow sinTheta_O 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2)))) sinTheta_i)) (/ (pow sinTheta_O 3) (pow v 3)))))
(neg.f32 (*.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (+.f32 (neg.f32 (/.f32 (pow.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 3 binary32)) sinTheta_i)) (*.f32 #s(literal 3 binary32) (/.f32 (*.f32 sinTheta_O (pow.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) v))) sinTheta_i) (*.f32 #s(literal 3 binary32) (/.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) (*.f32 v v)))) sinTheta_i) (pow.f32 (/.f32 sinTheta_O v) #s(literal 3 binary32)))))
(* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(neg.f32 (*.f32 sinTheta_i (-.f32 (neg.f32 (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)) sinTheta_i)) (neg.f32 (/.f32 sinTheta_O v)))))
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ sinTheta_O v))))
(neg.f32 (*.f32 sinTheta_i (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 cosTheta_O sinTheta_i) (/.f32 cosTheta_i v)) (/.f32 sinTheta_O v))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1 (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2) sinTheta_i)) (* 2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v))) sinTheta_i)) (/ (pow sinTheta_O 2) (pow v 2))))
(*.f32 (*.f32 sinTheta_i sinTheta_i) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (pow.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) sinTheta_i) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 sinTheta_O (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) v))) sinTheta_i) (/.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 v v))))
(/ (+ (/ (* (pow v 2) (pow (log (/ 1/2 v)) 3)) (pow sinTheta_O 2)) (/ (* (pow v 4) (* (pow (log (/ 1/2 v)) 3) (+ (* -1 (/ (* sinTheta_O (log (/ 1/2 v))) v)) (* 2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v))))) (* (pow sinTheta_O 4) sinTheta_i))) (pow sinTheta_i 2))
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cosTheta_i) v))) (pow.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) #s(literal 2 binary32)))) (/.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32)) (fma.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (pow.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))
(* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ (log (/ 1/2 v)) sinTheta_O) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(*.f32 sinTheta_O (-.f32 (fma.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) sinTheta_O) (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) sinTheta_O) (*.f32 (/.f32 cosTheta_O sinTheta_O) (/.f32 cosTheta_i v)))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_O v)) (/.f32 sinTheta_i v))))
(* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (log (/ 1/2 v)) sinTheta_O)) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(*.f32 sinTheta_O (-.f32 (fma.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) sinTheta_O) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) sinTheta_O)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_O v)) (/.f32 sinTheta_i v))))
(* sinTheta_O (- (+ (/ (log (/ 1/2 v)) sinTheta_O) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ sinTheta_i v)))
(*.f32 sinTheta_O (-.f32 (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) sinTheta_O) (*.f32 (/.f32 cosTheta_O sinTheta_O) (/.f32 cosTheta_i v))) (/.f32 sinTheta_i v)))
(+ (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (+ (* -1 (/ (* (pow v 4) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (* (pow (log (/ 1/2 v)) 3) (+ (* -2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_i (log (/ 1/2 v))) v))))) (* (pow sinTheta_O 3) (pow sinTheta_i 4)))) (/ (* (pow v 2) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (pow (log (/ 1/2 v)) 3))) (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))
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(+ (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (+ (* -1 (/ (* (pow v 4) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (* (pow (log (/ 1/2 v)) 3) (+ (* -2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_i (log (/ 1/2 v))) v))))) (* (pow sinTheta_O 3) (pow sinTheta_i 4)))) (+ (/ (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (+ (* -1 (+ (* -1 (/ (* (pow v 6) (* (pow (log (/ 1/2 v)) 3) (pow (+ (* -2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_i (log (/ 1/2 v))) v)) 2))) (pow sinTheta_i 6))) (/ (* (pow v 4) (* (pow (log (/ 1/2 v)) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)))) (pow sinTheta_i 4)))) (* 1/2 (/ (* (pow v 4) (pow (log (/ 1/2 v)) 6)) (pow sinTheta_i 4))))) (pow sinTheta_O 4)) (/ (* (pow v 2) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (pow (log (/ 1/2 v)) 3))) (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))
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(* sinTheta_O (- (+ (* -1 (/ sinTheta_i v)) (/ (* (pow v 2) (+ (* 2 (/ (* (pow sinTheta_i 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2))) (/ (* (pow sinTheta_i 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2)))) (* sinTheta_O (pow sinTheta_i 2)))) (* -1 (/ (* v (+ (* -2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_i (log (/ 1/2 v))) v))) (* sinTheta_O sinTheta_i)))))
(*.f32 sinTheta_O (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 sinTheta_i v) (/.f32 (*.f32 (*.f32 v v) (*.f32 #s(literal 3 binary32) (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) (*.f32 v v)))) (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)))) (neg.f32 (*.f32 (/.f32 v sinTheta_O) (/.f32 (fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 sinTheta_i (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) v) (/.f32 (*.f32 sinTheta_i (log.f32 (/.f32 #s(literal 1/2 binary32) v))) v)) sinTheta_i)))))
(* sinTheta_O (- (+ (* -1 (/ sinTheta_i v)) (+ (/ (* (pow v 2) (+ (* -2 (/ (* sinTheta_i (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) v)) (* -1 (/ (* sinTheta_i (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) v)))) (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (/ (* (pow v 2) (+ (* 2 (/ (* (pow sinTheta_i 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2))) (/ (* (pow sinTheta_i 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2)))) (* sinTheta_O (pow sinTheta_i 2))))) (+ (* -1 (/ (* v (+ (* -2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_i (log (/ 1/2 v))) v))) (* sinTheta_O sinTheta_i))) (+ (* -1 (/ (* v (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2))) (* (pow sinTheta_O 2) sinTheta_i))) (/ (* (pow v 2) (* (+ (* -2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_i (log (/ 1/2 v))) v)) (- (/ (* (pow v 2) (+ (* 2 (/ (* (pow sinTheta_i 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2))) (/ (* (pow sinTheta_i 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2)))) (pow sinTheta_i 2)) (* -1 (/ (* v (+ (* -2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_i (log (/ 1/2 v))) v))) sinTheta_i))))) (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))
(*.f32 sinTheta_O (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 sinTheta_i v) (fma.f32 (/.f32 (*.f32 v v) (*.f32 sinTheta_O sinTheta_O)) (/.f32 (*.f32 (/.f32 (*.f32 sinTheta_i (pow.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) v) #s(literal -3 binary32)) (*.f32 sinTheta_i sinTheta_i)) (/.f32 (*.f32 (*.f32 v v) (*.f32 #s(literal 3 binary32) (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) (*.f32 v v)))) (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i))))) (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 v sinTheta_O) (/.f32 (fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 sinTheta_i (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) v) (/.f32 (*.f32 sinTheta_i (log.f32 (/.f32 #s(literal 1/2 binary32) v))) v)) sinTheta_i)) (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 v (*.f32 sinTheta_O sinTheta_O)) (/.f32 (fma.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (pow.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) sinTheta_i)) (*.f32 (/.f32 (*.f32 v v) (*.f32 sinTheta_O sinTheta_O)) (/.f32 (*.f32 (fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 sinTheta_i (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) v) (/.f32 (*.f32 sinTheta_i (log.f32 (/.f32 #s(literal 1/2 binary32) v))) v)) (-.f32 (/.f32 (*.f32 (*.f32 v v) (*.f32 #s(literal 3 binary32) (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) (*.f32 v v)))) (*.f32 sinTheta_i sinTheta_i)) (neg.f32 (/.f32 (*.f32 v (fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 sinTheta_i (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) v) (/.f32 (*.f32 sinTheta_i (log.f32 (/.f32 #s(literal 1/2 binary32) v))) v))) sinTheta_i)))) (*.f32 sinTheta_i sinTheta_i)))))))
(* sinTheta_O (- (+ (* -1 (/ sinTheta_i v)) (+ (/ (* (pow v 2) (+ (* -2 (/ (* sinTheta_i (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) v)) (* -1 (/ (* sinTheta_i (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) v)))) (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (+ (/ (* (pow v 2) (+ (* 2 (/ (* (pow sinTheta_i 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2))) (/ (* (pow sinTheta_i 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2)))) (* sinTheta_O (pow sinTheta_i 2))) (/ (* (pow v 2) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 3)) (* (pow sinTheta_O 3) (pow sinTheta_i 2)))))) (+ (* -1 (/ (* v (+ (* -2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_i (log (/ 1/2 v))) v))) (* sinTheta_O sinTheta_i))) (+ (* -1 (/ (* v (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2))) (* (pow sinTheta_O 2) sinTheta_i))) (+ (/ (* (pow v 2) (* (+ (* -2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_i (log (/ 1/2 v))) v)) (- (/ (* (pow v 2) (+ (* -2 (/ (* sinTheta_i (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) v)) (* -1 (/ (* sinTheta_i (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) v)))) (pow sinTheta_i 2)) (+ (* -1 (/ (* v (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2))) sinTheta_i)) (/ (* (pow v 2) (* (+ (* -2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_i (log (/ 1/2 v))) v)) (- (/ (* (pow v 2) (+ (* 2 (/ (* (pow sinTheta_i 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2))) (/ (* (pow sinTheta_i 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2)))) (pow sinTheta_i 2)) (* -1 (/ (* v (+ (* -2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_i (log (/ 1/2 v))) v))) sinTheta_i))))) (pow sinTheta_i 2)))))) (* (pow sinTheta_O 3) (pow sinTheta_i 2))) (+ (/ (* (pow v 2) (* (+ (* -2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_i (log (/ 1/2 v))) v)) (- (/ (* (pow v 2) (+ (* 2 (/ (* (pow sinTheta_i 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2))) (/ (* (pow sinTheta_i 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2)))) (pow sinTheta_i 2)) (* -1 (/ (* v (+ (* -2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_i (log (/ 1/2 v))) v))) sinTheta_i))))) (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (/ (* (pow v 2) (* (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (- (/ (* (pow v 2) (+ (* 2 (/ (* (pow sinTheta_i 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2))) (/ (* (pow sinTheta_i 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2)))) (pow sinTheta_i 2)) (* -1 (/ (* v (+ (* -2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_i (log (/ 1/2 v))) v))) sinTheta_i))))) (* (pow sinTheta_O 3) (pow sinTheta_i 2)))))))))
(*.f32 sinTheta_O (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 sinTheta_i v) (fma.f32 (/.f32 (*.f32 v v) (*.f32 sinTheta_O sinTheta_O)) (/.f32 (*.f32 (/.f32 (*.f32 sinTheta_i (pow.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) v) #s(literal -3 binary32)) (*.f32 sinTheta_i sinTheta_i)) (fma.f32 (/.f32 (*.f32 v v) sinTheta_O) (/.f32 (*.f32 #s(literal 3 binary32) (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) (*.f32 v v))) (*.f32 sinTheta_i sinTheta_i)) (*.f32 (/.f32 (*.f32 v v) (pow.f32 sinTheta_O #s(literal 3 binary32))) (/.f32 (pow.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 3 binary32)) (*.f32 sinTheta_i sinTheta_i)))))) (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 v sinTheta_O) (/.f32 (fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 sinTheta_i (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) v) (/.f32 (*.f32 sinTheta_i (log.f32 (/.f32 #s(literal 1/2 binary32) v))) v)) sinTheta_i)) (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 v (*.f32 sinTheta_O sinTheta_O)) (/.f32 (fma.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (pow.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) sinTheta_i)) (fma.f32 (/.f32 (*.f32 v v) (pow.f32 sinTheta_O #s(literal 3 binary32))) (/.f32 (*.f32 (fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 sinTheta_i (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) v) (/.f32 (*.f32 sinTheta_i (log.f32 (/.f32 #s(literal 1/2 binary32) v))) v)) (-.f32 (/.f32 (*.f32 (*.f32 v v) (*.f32 (/.f32 (*.f32 sinTheta_i (pow.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) v) #s(literal -3 binary32))) (*.f32 sinTheta_i sinTheta_i)) (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 v (fma.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (pow.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))) sinTheta_i) (/.f32 (*.f32 (*.f32 v v) (*.f32 (fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 sinTheta_i (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 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(/.f32 #s(literal 1 binary32) v))) v) (/.f32 (*.f32 sinTheta_i (log.f32 (/.f32 #s(literal 1/2 binary32) v))) v)) (-.f32 (/.f32 (*.f32 (*.f32 v v) (*.f32 #s(literal 3 binary32) (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) (*.f32 v v)))) (*.f32 sinTheta_i sinTheta_i)) (neg.f32 (/.f32 (*.f32 v (fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 sinTheta_i (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) v) (/.f32 (*.f32 sinTheta_i (log.f32 (/.f32 #s(literal 1/2 binary32) v))) v))) sinTheta_i)))) (*.f32 sinTheta_i sinTheta_i)) (*.f32 (/.f32 (*.f32 v v) (pow.f32 sinTheta_O #s(literal 3 binary32))) (/.f32 (*.f32 (fma.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (pow.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (-.f32 (/.f32 (*.f32 (*.f32 v v) (*.f32 #s(literal 3 binary32) (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) (*.f32 v v)))) (*.f32 sinTheta_i sinTheta_i)) (neg.f32 (/.f32 (*.f32 v (fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 sinTheta_i (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) v) (/.f32 (*.f32 sinTheta_i (log.f32 (/.f32 #s(literal 1/2 binary32) v))) v))) sinTheta_i)))) (*.f32 sinTheta_i sinTheta_i)))))))))
(* (pow sinTheta_O 3) (+ (* -1 (/ (pow sinTheta_i 3) (pow v 3))) (+ (* 2 (/ (* (pow sinTheta_i 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_O (pow v 2)))) (/ (* (pow sinTheta_i 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_O (pow v 2))))))
(*.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) (+.f32 (neg.f32 (pow.f32 (/.f32 sinTheta_i v) #s(literal 3 binary32))) (*.f32 #s(literal 3 binary32) (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) (*.f32 sinTheta_O (*.f32 v v))))))
(* (pow sinTheta_O 3) (+ (* -2 (/ (* sinTheta_i (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* (pow sinTheta_O 2) v))) (+ (* -1 (/ (* sinTheta_i (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* (pow sinTheta_O 2) v))) (+ (* -1 (/ (pow sinTheta_i 3) (pow v 3))) (+ (* 2 (/ (* (pow sinTheta_i 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_O (pow v 2)))) (/ (* (pow sinTheta_i 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_O (pow v 2))))))))
(*.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) (fma.f32 #s(literal -2 binary32) (*.f32 (/.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O)) (/.f32 (pow.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)) (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O)) (/.f32 (pow.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)) (+.f32 (neg.f32 (pow.f32 (/.f32 sinTheta_i v) #s(literal 3 binary32))) (*.f32 #s(literal 3 binary32) (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) (*.f32 sinTheta_O (*.f32 v v))))))))
(* (pow sinTheta_O 3) (+ (* -2 (/ (* sinTheta_i (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* (pow sinTheta_O 2) v))) (+ (* -1 (/ (* sinTheta_i (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* (pow sinTheta_O 2) v))) (+ (* -1 (/ (pow sinTheta_i 3) (pow v 3))) (+ (* 2 (/ (* (pow sinTheta_i 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_O (pow v 2)))) (+ (/ (* (pow sinTheta_i 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_O (pow v 2))) (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 3) (pow sinTheta_O 3))))))))
(*.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) (fma.f32 #s(literal -2 binary32) (*.f32 (/.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O)) (/.f32 (pow.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)) (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O)) (/.f32 (pow.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)) (fma.f32 #s(literal -1 binary32) (pow.f32 (/.f32 sinTheta_i v) #s(literal 3 binary32)) (fma.f32 #s(literal 2 binary32) (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) (*.f32 sinTheta_O (*.f32 v v))) (fma.f32 (/.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)) (*.f32 v v)) (pow.f32 (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)) sinTheta_O) #s(literal 3 binary32))))))))
(* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(*.f32 sinTheta_O (-.f32 (fma.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) sinTheta_O) (*.f32 (/.f32 cosTheta_O sinTheta_O) (/.f32 cosTheta_i v))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_O v)) (/.f32 sinTheta_i v))))
(* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))
(*.f32 sinTheta_O (fma.f32 #s(literal -1 binary32) (/.f32 sinTheta_i v) (*.f32 (/.f32 cosTheta_O sinTheta_O) (/.f32 cosTheta_i v))))
(* (pow sinTheta_O 2) (+ (* -2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_O v))) (/ (pow sinTheta_i 2) (pow v 2))))
(*.f32 (*.f32 sinTheta_O sinTheta_O) (fma.f32 #s(literal -2 binary32) (*.f32 (/.f32 sinTheta_i sinTheta_O) (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)) v)) (/.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 v v))))
(* (pow sinTheta_O 2) (+ (* -2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_O v))) (+ (/ (pow sinTheta_i 2) (pow v 2)) (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2) (pow sinTheta_O 2)))))
(*.f32 (*.f32 sinTheta_O sinTheta_O) (fma.f32 #s(literal -2 binary32) (*.f32 (/.f32 sinTheta_i sinTheta_O) (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)) v)) (+.f32 (/.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 v v)) (/.f32 (pow.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (*.f32 sinTheta_O sinTheta_O)))))
(/ (+ (* -1 (/ (* (pow v 4) (* (pow (log (/ 1/2 v)) 3) (+ (* -2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_i (log (/ 1/2 v))) v)))) (* sinTheta_O (pow sinTheta_i 4)))) (/ (* (pow v 2) (pow (log (/ 1/2 v)) 3)) (pow sinTheta_i 2))) (pow sinTheta_O 2))
(/.f32 (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 (pow.f32 v #s(literal 4 binary32)) sinTheta_O) (/.f32 (*.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32)) (fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 sinTheta_i (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) v) (/.f32 (*.f32 sinTheta_i (log.f32 (/.f32 #s(literal 1/2 binary32) v))) v))) (pow.f32 sinTheta_i #s(literal 4 binary32)))) (/.f32 (*.f32 (*.f32 v v) (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32))) (*.f32 sinTheta_i sinTheta_i))) (*.f32 sinTheta_O sinTheta_O))
(/ (- (+ (* -1 (/ (+ (* -1 (/ (* (pow v 6) (* (pow (log (/ 1/2 v)) 3) (pow (+ (* -2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_i (log (/ 1/2 v))) v)) 2))) (pow sinTheta_i 6))) (/ (* (pow v 4) (* (pow (log (/ 1/2 v)) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)))) (pow sinTheta_i 4))) (pow sinTheta_O 2))) (/ (* (pow v 2) (pow (log (/ 1/2 v)) 3)) (pow sinTheta_i 2))) (/ (* (pow v 4) (* (pow (log (/ 1/2 v)) 3) (+ (* -2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_i (log (/ 1/2 v))) v)))) (* sinTheta_O (pow sinTheta_i 4)))) (pow sinTheta_O 2))
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(/ (- (+ (* -1 (/ (+ (* -1 (/ (* (pow v 2) (* (+ (* -2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_i (log (/ 1/2 v))) v)) (+ (* -1 (/ (* (pow v 6) (* (pow (log (/ 1/2 v)) 3) (pow (+ (* -2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_i (log (/ 1/2 v))) v)) 2))) (pow sinTheta_i 6))) (/ (* (pow v 4) (* (pow (log (/ 1/2 v)) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)))) (pow sinTheta_i 4))))) (pow sinTheta_i 2))) (* -1 (/ (* (pow v 6) (* (pow (log (/ 1/2 v)) 3) (* (+ (* -2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_i (log (/ 1/2 v))) v)) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2))))) (pow sinTheta_i 6)))) (pow sinTheta_O 3))) (/ (* (pow v 2) (pow (log (/ 1/2 v)) 3)) (pow sinTheta_i 2))) (+ (* -1 (/ (* (pow v 6) (* (pow (log (/ 1/2 v)) 3) (pow (+ (* -2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_i (log (/ 1/2 v))) v)) 2))) (* (pow sinTheta_O 2) (pow sinTheta_i 6)))) (+ (/ (* (pow v 4) (* (pow (log (/ 1/2 v)) 3) (+ (* -2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_i (log (/ 1/2 v))) v)))) (* sinTheta_O (pow sinTheta_i 4))) (/ (* (pow v 4) (* (pow (log (/ 1/2 v)) 3) (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)))) (* (pow sinTheta_O 2) (pow sinTheta_i 4)))))) (pow sinTheta_O 2))
(/.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 (*.f32 v v) (*.f32 (fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 sinTheta_i (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) v) (/.f32 (*.f32 sinTheta_i (log.f32 (/.f32 #s(literal 1/2 binary32) v))) v)) (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 (pow.f32 v #s(literal 6 binary32)) (*.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32)) (pow.f32 (fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 sinTheta_i (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) v) (/.f32 (*.f32 sinTheta_i (log.f32 (/.f32 #s(literal 1/2 binary32) v))) v)) #s(literal 2 binary32)))) (pow.f32 sinTheta_i #s(literal 6 binary32))) (/.f32 (*.f32 (pow.f32 v #s(literal 4 binary32)) (*.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32)) (fma.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (pow.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))) (pow.f32 sinTheta_i #s(literal 4 binary32)))))) (*.f32 sinTheta_i sinTheta_i)) (neg.f32 (/.f32 (*.f32 (pow.f32 v #s(literal 6 binary32)) (*.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32)) (*.f32 (fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 sinTheta_i (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) v) (/.f32 (*.f32 sinTheta_i (log.f32 (/.f32 #s(literal 1/2 binary32) v))) v)) (fma.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (pow.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))) (pow.f32 sinTheta_i #s(literal 6 binary32))))) (pow.f32 sinTheta_O #s(literal 3 binary32))) (/.f32 (*.f32 (*.f32 v v) (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32))) (*.f32 sinTheta_i sinTheta_i))) (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 (pow.f32 v #s(literal 6 binary32)) (*.f32 sinTheta_O sinTheta_O)) (/.f32 (*.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32)) (pow.f32 (fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 sinTheta_i (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) v) (/.f32 (*.f32 sinTheta_i (log.f32 (/.f32 #s(literal 1/2 binary32) v))) v)) #s(literal 2 binary32))) (pow.f32 sinTheta_i #s(literal 6 binary32)))) (fma.f32 (/.f32 (pow.f32 v #s(literal 4 binary32)) sinTheta_O) (/.f32 (*.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32)) (fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 sinTheta_i (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) v) (/.f32 (*.f32 sinTheta_i (log.f32 (/.f32 #s(literal 1/2 binary32) v))) v))) (pow.f32 sinTheta_i #s(literal 4 binary32))) (*.f32 (/.f32 (pow.f32 v #s(literal 4 binary32)) (*.f32 sinTheta_O sinTheta_O)) (/.f32 (*.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32)) (fma.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (pow.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))) (pow.f32 sinTheta_i #s(literal 4 binary32))))))) (*.f32 sinTheta_O sinTheta_O))
(* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
(neg.f32 (*.f32 sinTheta_O (*.f32 #s(literal -1 binary32) (-.f32 (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 #s(literal 1 binary32) v)) sinTheta_O) (/.f32 sinTheta_i v)))))
(* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
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(* -1 (* sinTheta_O (+ (* -1 (/ (- (/ (* (pow v 2) (+ (* 2 (/ (* (pow sinTheta_i 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2))) (/ (* (pow sinTheta_i 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2)))) (pow sinTheta_i 2)) (/ (* v (+ (* -1 (/ (* sinTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)))) sinTheta_i)) sinTheta_O)) (/ sinTheta_i v))))
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(* -1 (* sinTheta_O (+ (* -1 (/ (- (+ (* -1 (/ (- (/ (* (pow v 2) (+ (* 2 (/ (* sinTheta_i (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) v)) (/ (* sinTheta_i (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) v))) (pow sinTheta_i 2)) (+ (/ (* v (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2))) sinTheta_i) (/ (* (pow v 2) (* (+ (* -1 (/ (* sinTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v))) (- (/ (* (pow v 2) (+ (* 2 (/ (* (pow sinTheta_i 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2))) (/ (* (pow sinTheta_i 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2)))) (pow sinTheta_i 2)) (/ (* v (+ (* -1 (/ (* sinTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)))) sinTheta_i)))) (pow sinTheta_i 2)))) sinTheta_O)) (/ (* (pow v 2) (+ (* 2 (/ (* (pow sinTheta_i 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2))) (/ (* (pow sinTheta_i 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2)))) (pow sinTheta_i 2))) (/ (* v (+ (* -1 (/ (* sinTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)))) sinTheta_i)) sinTheta_O)) (/ sinTheta_i v))))
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(* -1 (* sinTheta_O (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (/ (* (pow v 2) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 3)) (pow sinTheta_i 2)) (+ (/ (* (pow v 2) (* (+ (* -1 (/ (* sinTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v))) (- (/ (* (pow v 2) (+ (* 2 (/ (* sinTheta_i (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) v)) (/ (* sinTheta_i (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) v))) (pow sinTheta_i 2)) (+ (/ (* v (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2))) sinTheta_i) (/ (* (pow v 2) (* (+ (* -1 (/ (* sinTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v))) (- (/ (* (pow v 2) (+ (* 2 (/ (* (pow sinTheta_i 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2))) (/ (* (pow sinTheta_i 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2)))) (pow sinTheta_i 2)) (/ (* v (+ (* -1 (/ (* sinTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)))) sinTheta_i)))) (pow sinTheta_i 2)))))) (pow sinTheta_i 2)) (/ (* (pow v 2) (* (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (- (/ (* (pow v 2) (+ (* 2 (/ (* (pow sinTheta_i 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2))) (/ (* (pow sinTheta_i 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2)))) (pow sinTheta_i 2)) (/ (* v (+ (* -1 (/ (* sinTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)))) sinTheta_i)))) (pow sinTheta_i 2)))) sinTheta_O)) (/ (* (pow v 2) (+ (* 2 (/ (* sinTheta_i (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) v)) (/ (* sinTheta_i (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) v))) (pow sinTheta_i 2))) (+ (/ (* v (+ (* (log (/ 1/2 v)) (- (+ (log (/ 1/2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2))) sinTheta_i) (/ (* (pow v 2) (* (+ (* -1 (/ (* sinTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v))) (- (/ (* (pow v 2) (+ (* 2 (/ (* (pow sinTheta_i 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2))) (/ (* (pow sinTheta_i 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2)))) (pow sinTheta_i 2)) (/ (* v (+ (* -1 (/ (* sinTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)))) sinTheta_i)))) (pow sinTheta_i 2)))) sinTheta_O)) (/ (* (pow v 2) (+ (* 2 (/ (* (pow sinTheta_i 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2))) (/ (* (pow sinTheta_i 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2)))) (pow sinTheta_i 2))) (/ (* v (+ (* -1 (/ (* sinTheta_i (log (/ 1/2 v))) v)) (* 2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)))) sinTheta_i)) sinTheta_O)) (/ sinTheta_i v))))
(neg.f32 (*.f32 sinTheta_O (fma.f32 #s(literal -1 binary32) (/.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 v v) (pow.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 3 binary32))) (*.f32 sinTheta_i sinTheta_i)) (/.f32 (fma.f32 (*.f32 v v) (*.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_i (log.f32 (/.f32 #s(literal 1/2 binary32) v))) v) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 sinTheta_i (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) v))) (-.f32 (/.f32 (*.f32 (*.f32 v v) (*.f32 #s(literal 3 binary32) (/.f32 (*.f32 sinTheta_i (pow.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) v))) (*.f32 sinTheta_i sinTheta_i)) (+.f32 (/.f32 (*.f32 v (fma.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (pow.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))) sinTheta_i) (/.f32 (*.f32 (*.f32 v v) (*.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_i (log.f32 (/.f32 #s(literal 1/2 binary32) v))) v) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 sinTheta_i (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) v))) (-.f32 (/.f32 (*.f32 (*.f32 v v) (*.f32 #s(literal 3 binary32) (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) (*.f32 v v)))) (*.f32 sinTheta_i sinTheta_i)) (/.f32 (*.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_i (log.f32 (/.f32 #s(literal 1/2 binary32) v))) v) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 sinTheta_i (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) v)))) sinTheta_i)))) (*.f32 sinTheta_i sinTheta_i))))) (*.f32 (*.f32 v v) (*.f32 (fma.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (pow.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (-.f32 (/.f32 (*.f32 (*.f32 v v) (*.f32 #s(literal 3 binary32) (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) (*.f32 v v)))) (*.f32 sinTheta_i sinTheta_i)) (/.f32 (*.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_i (log.f32 (/.f32 #s(literal 1/2 binary32) v))) v) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 sinTheta_i (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) v)))) sinTheta_i))))) (*.f32 sinTheta_i sinTheta_i))) sinTheta_O) (/.f32 (*.f32 (*.f32 v v) (*.f32 #s(literal 3 binary32) (/.f32 (*.f32 sinTheta_i (pow.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) v))) (*.f32 sinTheta_i sinTheta_i))) (+.f32 (/.f32 (*.f32 v (fma.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (pow.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))) sinTheta_i) (/.f32 (*.f32 (*.f32 v v) (*.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_i (log.f32 (/.f32 #s(literal 1/2 binary32) v))) v) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 sinTheta_i (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) v))) (-.f32 (/.f32 (*.f32 (*.f32 v v) (*.f32 #s(literal 3 binary32) (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) (*.f32 v v)))) (*.f32 sinTheta_i sinTheta_i)) (/.f32 (*.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_i (log.f32 (/.f32 #s(literal 1/2 binary32) v))) v) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 sinTheta_i (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) v)))) sinTheta_i)))) (*.f32 sinTheta_i sinTheta_i)))) sinTheta_O) (/.f32 (*.f32 (*.f32 v v) (*.f32 #s(literal 3 binary32) (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) (*.f32 v v)))) (*.f32 sinTheta_i sinTheta_i))) (/.f32 (*.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_i (log.f32 (/.f32 #s(literal 1/2 binary32) v))) v) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 sinTheta_i (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) v)))) sinTheta_i)) sinTheta_O) (/.f32 sinTheta_i v))))
(* -1 (* (pow sinTheta_O 3) (+ (* -1 (/ (+ (* 2 (/ (* (pow sinTheta_i 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2))) (/ (* (pow sinTheta_i 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2))) sinTheta_O)) (/ (pow sinTheta_i 3) (pow v 3)))))
(neg.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 #s(literal 3 binary32) (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) (*.f32 v v))) sinTheta_O) (pow.f32 (/.f32 sinTheta_i v) #s(literal 3 binary32)))))
(* -1 (* (pow sinTheta_O 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* 2 (/ (* sinTheta_i (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) v)) (/ (* sinTheta_i (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) v)) sinTheta_O)) (+ (* 2 (/ (* (pow sinTheta_i 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2))) (/ (* (pow sinTheta_i 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2)))) sinTheta_O)) (/ (pow sinTheta_i 3) (pow v 3)))))
(neg.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 #s(literal 3 binary32) (/.f32 (*.f32 sinTheta_i (pow.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) v)) sinTheta_O) (*.f32 #s(literal 3 binary32) (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) (*.f32 v v)))) sinTheta_O) (pow.f32 (/.f32 sinTheta_i v) #s(literal 3 binary32)))))
(* -1 (* (pow sinTheta_O 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 3) sinTheta_O)) (+ (* 2 (/ (* sinTheta_i (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) v)) (/ (* sinTheta_i (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) v))) sinTheta_O)) (+ (* 2 (/ (* (pow sinTheta_i 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2))) (/ (* (pow sinTheta_i 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow v 2)))) sinTheta_O)) (/ (pow sinTheta_i 3) (pow v 3)))))
(neg.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (+.f32 (neg.f32 (/.f32 (pow.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 3 binary32)) sinTheta_O)) (*.f32 #s(literal 3 binary32) (/.f32 (*.f32 sinTheta_i (pow.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) v))) sinTheta_O) (*.f32 #s(literal 3 binary32) (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) (*.f32 v v)))) sinTheta_O) (pow.f32 (/.f32 sinTheta_i v) #s(literal 3 binary32)))))
(* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
(neg.f32 (*.f32 sinTheta_O (-.f32 (neg.f32 (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)) sinTheta_O)) (neg.f32 (/.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 #s(literal -1 binary32) (*.f32 (/.f32 cosTheta_O sinTheta_O) (/.f32 cosTheta_i v)) (/.f32 sinTheta_i v))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1 (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2) sinTheta_O)) (* 2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v))) sinTheta_O)) (/ (pow sinTheta_i 2) (pow v 2))))
(*.f32 (*.f32 sinTheta_O sinTheta_O) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (pow.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) sinTheta_O) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 sinTheta_i (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) v))) sinTheta_O) (/.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 v v))))
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(/ (+ (* 1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v))) v)
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(/ (+ (* 1/12 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3)) (pow v 3))) (+ (* 1/4 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (pow v 2))) (+ (* 1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v))))) v)
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(* 2 (/ v (exp 6931/10000)))
(*.f32 #s(literal 2 binary32) (/.f32 v (exp.f32 #s(literal 6931/10000 binary32))))
(* v (+ (* -2 (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) (* v (exp 6931/10000)))) (* 2 (/ 1 (exp 6931/10000)))))
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(* v (- (+ (* -1 (/ (+ (* -2 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (exp 6931/10000))) (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (exp 6931/10000))) (pow v 2))) (* 2 (/ 1 (exp 6931/10000)))) (* 2 (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) (* v (exp 6931/10000))))))
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(* v (- (+ (* -1 (/ (+ (* -1 (* (+ (* -2 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (exp 6931/10000))) (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (exp 6931/10000))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))))) (+ (* -1 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3) (exp 6931/10000))) (* 1/3 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3) (exp 6931/10000))))) (pow v 3))) (* 2 (/ 1 (exp 6931/10000)))) (+ (* -2 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (* (pow v 2) (exp 6931/10000)))) (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) (* v (exp 6931/10000)))) (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (* (pow v 2) (exp 6931/10000)))))))
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(exp 6931/10000)
(exp.f32 #s(literal 6931/10000 binary32))
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(+ (exp 6931/10000) (+ (* 1/6 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3)) (pow v 3))) (+ (* 1/2 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (pow v 2))) (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v))))
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(exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v)))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (neg.f32 (log.f32 v)))))
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#s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))) (-.f32 (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal 6931/10000 binary32))))))

rewrite270.0ms (2.3%)

Memory
20.4MiB live, 255.0MiB allocated; 52ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
061573
098463
1441460
23558460
08154460
Stop Event
iter limit
node limit
iter limit
Counts
27 → 803
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (/.f32 #s(literal 1/2 binary32) v))))
(/.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (/.f32 #s(literal 1/2 binary32) v)))
(*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (/.f32 #s(literal 1/2 binary32) v))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)))
(/.f32 #s(literal 1/2 binary32) v)
(exp.f32 #s(literal 6931/10000 binary32))
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#s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
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(exp.f32 (/.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 3 binary32)) (fma.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 2 binary32)))))
(/.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 3 binary32)) (fma.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 2 binary32))))
(pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 3 binary32))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)
(exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))
(-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))
(pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32))
(pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 2 binary32))
(/.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32)) (fma.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 2 binary32))))
Outputs
(*.f32 (exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v))) (exp.f32 #s(literal 6931/10000 binary32)))
(*.f32 (pow.f32 (/.f32 (/.f32 (exp.f32 #s(literal -6931/10000 binary32)) (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v))) #s(literal -1/2 binary32)) #s(literal -1 binary32)) (pow.f32 (neg.f32 v) #s(literal -1 binary32)))
(*.f32 (pow.f32 (/.f32 (/.f32 (exp.f32 #s(literal -6931/10000 binary32)) (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v))) #s(literal -1 binary32)) #s(literal -1 binary32)) (pow.f32 (*.f32 #s(literal -2 binary32) v) #s(literal -1 binary32)))
(*.f32 (pow.f32 (/.f32 (/.f32 (exp.f32 #s(literal -6931/10000 binary32)) (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v))) #s(literal 1/2 binary32)) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) v))
(*.f32 (pow.f32 (/.f32 (/.f32 (exp.f32 #s(literal -6931/10000 binary32)) (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v))) #s(literal 1 binary32)) #s(literal -1 binary32)) (/.f32 #s(literal 1/2 binary32) v))
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) v))
(*.f32 (pow.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)))) #s(literal -1/2 binary32)) #s(literal -1 binary32)) (pow.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)))) #s(literal -1/2 binary32)) #s(literal -1 binary32)))
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) v)) #s(literal -1 binary32)) (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))))
(*.f32 (pow.f32 (/.f32 (*.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)) (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal 1 binary32)) (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1 binary32)))
(*.f32 (pow.f32 (*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) v)) #s(literal 1 binary32)) (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))))
(*.f32 (pow.f32 (*.f32 #s(literal 1 binary32) (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)))) #s(literal 1 binary32)) (pow.f32 (/.f32 #s(literal 1/2 binary32) v) #s(literal 1 binary32)))
(*.f32 (pow.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)))) #s(literal 1/2 binary32)) #s(literal 1 binary32)) (pow.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)))) #s(literal 1/2 binary32)) #s(literal 1 binary32)))
(*.f32 (pow.f32 (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)) v) #s(literal 1 binary32)) (pow.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)) #s(literal 1 binary32)))
(*.f32 (pow.f32 (exp.f32 (/.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32)) (fma.f32 (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))) (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (pow.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)) #s(literal 2 binary32))))) #s(literal 1 binary32)) (pow.f32 (exp.f32 (/.f32 (pow.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)) #s(literal 3 binary32)) (fma.f32 (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))) (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (pow.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)) #s(literal 2 binary32))))) #s(literal 1 binary32)))
(*.f32 (pow.f32 (exp.f32 (/.f32 (pow.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)) #s(literal 3 binary32)) (fma.f32 (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))) (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (pow.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)) #s(literal 2 binary32))))) #s(literal 1 binary32)) (pow.f32 (exp.f32 (/.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32)) (fma.f32 (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))) (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (pow.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)) #s(literal 2 binary32))))) #s(literal 1 binary32)))
(*.f32 (pow.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)) #s(literal 1 binary32)) (pow.f32 (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)) v) #s(literal 1 binary32)))
(*.f32 (pow.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1 binary32)) (pow.f32 (*.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)) (/.f32 #s(literal 1/2 binary32) v)) #s(literal 1 binary32)))
(*.f32 (pow.f32 (/.f32 #s(literal 1/2 binary32) v) #s(literal 1 binary32)) (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))))
(*.f32 (/.f32 (*.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)) (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v))) (exp.f32 #s(literal 6931/10000 binary32)))
(*.f32 (*.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)) (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 #s(literal 6931/10000 binary32)))
(*.f32 (*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))))
(*.f32 (*.f32 #s(literal 1 binary32) (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)))) (/.f32 #s(literal 1/2 binary32) v))
(*.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)))) #s(literal 1/2 binary32)) (pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)))) #s(literal 1/2 binary32)))
(*.f32 (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)) v) (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)))
(*.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)) v))
(*.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)) (exp.f32 (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))))
(*.f32 #s(literal -1 binary32) (pow.f32 (*.f32 (neg.f32 (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)))) #s(literal 1 binary32)))
(*.f32 #s(literal -1 binary32) (*.f32 (neg.f32 (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)))))
(*.f32 (exp.f32 (/.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32)) (fma.f32 (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))) (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (pow.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)) #s(literal 2 binary32))))) (exp.f32 (/.f32 (pow.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)) #s(literal 3 binary32)) (fma.f32 (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))) (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (pow.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)) #s(literal 2 binary32))))))
(*.f32 (exp.f32 (/.f32 (pow.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)) #s(literal 3 binary32)) (fma.f32 (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))) (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (pow.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)) #s(literal 2 binary32))))) (exp.f32 (/.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32)) (fma.f32 (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))) (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (pow.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)) #s(literal 2 binary32))))))
(*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)) (/.f32 #s(literal 1/2 binary32) v)))
(*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)))) #s(literal 1 binary32))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))))
(*.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))) (pow.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) v)) #s(literal -1 binary32)))
(*.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))) (pow.f32 (/.f32 #s(literal 1/2 binary32) v) #s(literal 1 binary32)))
(*.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1/2 binary32) v))
(*.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)))))
(/.f32 (exp.f32 (+.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)) (log.f32 #s(literal 1/2 binary32)))) v)
(/.f32 (exp.f32 (+.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)) #s(literal 0 binary32))) (*.f32 #s(literal 2 binary32) v))
(/.f32 (exp.f32 (/.f32 (pow.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)) #s(literal 2 binary32)) (-.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))) (exp.f32 (/.f32 (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (-.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))))
(/.f32 (*.f32 #s(literal -1/2 binary32) (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)))) (neg.f32 v))
(/.f32 (*.f32 #s(literal -1 binary32) (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)))) (*.f32 #s(literal -2 binary32) v))
(/.f32 (*.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))) #s(literal -1/2 binary32)) (neg.f32 v))
(/.f32 (*.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))) #s(literal -1 binary32)) (*.f32 #s(literal -2 binary32) v))
(/.f32 (*.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))) #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) v))
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(/.f32 (*.f32 #s(literal 1 binary32) (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)))) (*.f32 #s(literal 2 binary32) v))
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(/.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32)) (fma.f32 (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))) (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (pow.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)) #s(literal 2 binary32))))
(neg.f32 (/.f32 (pow.f32 (neg.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 3 binary32)) (fma.f32 (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))) (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (pow.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)) #s(literal 2 binary32)))))
(neg.f32 (/.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32)) (neg.f32 (fma.f32 (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))) (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (pow.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)) #s(literal 2 binary32))))))

eval372.0ms (3.2%)

Memory
29.1MiB live, 671.5MiB allocated; 96ms collecting garbage
Compiler

Compiled 228 749 to 9 485 computations (95.9% saved)

prune92.0ms (0.8%)

Memory
-8.9MiB live, 99.4MiB allocated; 44ms collecting garbage
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New1 678111 689
Fresh213
Picked415
Done000
Total1 684131 697
Accuracy
99.9%
Counts
1 697 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
88.8%
(/.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v))))))
88.5%
(/.f32 (exp.f32 #s(approx (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 v (+.f32 (log.f32 #s(literal 1/2 binary32)) (neg.f32 (log.f32 v))))) (*.f32 sinTheta_O sinTheta_i)) v))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
52.2%
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (exp.f32 (/.f32 #s(literal 332956652491/1000000000000 binary32) (fma.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)) #s(literal 48038761/100000000 binary32)))) (exp.f32 (/.f32 (pow.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 3 binary32)) (fma.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)) #s(literal 48038761/100000000 binary32))))) (/.f32 #s(literal 1/2 binary32) v))))
99.8%
(/.f32 #s(literal 1 binary32) #s(approx (/ 1 (* (exp (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v))) (/ 1/2 v))) (*.f32 #s(literal 2 binary32) (/.f32 v (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)))))))
99.8%
(/.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 (log.f32 v) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)))))
52.1%
(*.f32 (pow.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))) (/.f32 (pow.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)) #s(literal 2 binary32)) (fma.f32 (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))) (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (pow.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)) #s(literal 2 binary32))))) (exp.f32 (/.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32)) (fma.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 2 binary32))))))
88.5%
(*.f32 (/.f32 (*.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)) (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v))) (exp.f32 #s(literal 6931/10000 binary32)))
13.4%
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))
99.8%
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (-.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v))))
98.1%
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (neg.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)))))
4.6%
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)) v))
99.8%
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))
4.6%
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))))
Compiler

Compiled 1 058 to 685 computations (35.3% saved)

simplify179.0ms (1.6%)

Memory
15.5MiB live, 243.4MiB allocated; 30ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)
cost-diff0
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v))
cost-diff1
(exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v)))))
cost-diff4
(/.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v))))))
cost-diff0
(*.f32 #s(literal 2 binary32) (/.f32 v (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)))))
cost-diff0
#s(approx (/ 1 (* (exp (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v))) (/ 1/2 v))) (*.f32 #s(literal 2 binary32) (/.f32 v (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))))))
cost-diff0
(/.f32 #s(literal 1 binary32) #s(approx (/ 1 (* (exp (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v))) (/ 1/2 v))) (*.f32 #s(literal 2 binary32) (/.f32 v (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)))))))
cost-diff1
(+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))
cost-diff0
#s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (neg.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)))
cost-diff0
#s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (neg.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))))
cost-diff0
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (neg.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)))))
cost-diff1
(+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))
cost-diff0
(exp.f32 #s(literal 6931/10000 binary32))
cost-diff0
(*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32))
cost-diff0
(/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)) v)
cost-diff0
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)) v))
cost-diff0
(log.f32 v)
cost-diff0
(-.f32 (log.f32 v) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)))
cost-diff0
(/.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 (log.f32 v) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)))))
cost-diff1
(exp.f32 (-.f32 (log.f32 v) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
073527
0106483
1225477
2475474
31483474
08446474
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 (log.f32 v) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)))))
#s(literal 1/2 binary32)
(exp.f32 (-.f32 (log.f32 v) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))))
(-.f32 (log.f32 v) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)))
(log.f32 v)
v
(+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))
(/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)
(-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)))
(*.f32 cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
(fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))
sinTheta_i
sinTheta_O
#s(literal 1 binary32)
#s(literal 6931/10000 binary32)
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)) v))
(/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)) v)
(*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32))
(exp.f32 #s(literal 6931/10000 binary32))
#s(literal 6931/10000 binary32)
#s(literal 1/2 binary32)
v
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (neg.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)))))
#s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (neg.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))))
#s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (neg.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)))
(neg.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)
(+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))
#s(literal 1 binary32)
(*.f32 sinTheta_O sinTheta_i)
sinTheta_O
sinTheta_i
v
(/.f32 #s(literal 1 binary32) #s(approx (/ 1 (* (exp (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v))) (/ 1/2 v))) (*.f32 #s(literal 2 binary32) (/.f32 v (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)))))))
#s(literal 1 binary32)
#s(approx (/ 1 (* (exp (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v))) (/ 1/2 v))) (*.f32 #s(literal 2 binary32) (/.f32 v (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))))))
(*.f32 #s(literal 2 binary32) (/.f32 v (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)))))
#s(literal 2 binary32)
(/.f32 v (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))))
v
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))
#s(literal 6931/10000 binary32)
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)
(+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))
(*.f32 sinTheta_O sinTheta_i)
sinTheta_O
sinTheta_i
(/.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v))))))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v))
(/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)
(-.f32 (*.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
v
(exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v)))))
(-.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v))))
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
(-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v)))
#s(literal 6931/10000 binary32)
(log.f32 (*.f32 #s(literal 2 binary32) v))
(*.f32 #s(literal 2 binary32) v)
#s(literal 2 binary32)
Outputs
(/.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 (log.f32 v) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)))))
(*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (/.f32 #s(literal 1/2 binary32) v))
#s(literal 1/2 binary32)
(exp.f32 (-.f32 (log.f32 v) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))))
(*.f32 (exp.f32 (-.f32 #s(literal -6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) v)
(-.f32 (log.f32 v) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)))
(-.f32 (-.f32 (log.f32 v) #s(literal 6931/10000 binary32)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))
(log.f32 v)
v
(+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))
(/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)
(-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)))
(-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))
(*.f32 cosTheta_i cosTheta_O)
(*.f32 cosTheta_O cosTheta_i)
cosTheta_i
cosTheta_O
(fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))
(fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))
sinTheta_i
sinTheta_O
#s(literal 1 binary32)
#s(literal 6931/10000 binary32)
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)) v))
(/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)) v)
(*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32))
(exp.f32 #s(literal 6931/10000 binary32))
#s(literal 6931/10000 binary32)
#s(literal 1/2 binary32)
v
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (neg.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)))))
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (/.f32 (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))))
#s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (neg.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))))
#s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (/.f32 (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)))
#s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (neg.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)))
#s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (/.f32 (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))
(neg.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))
(/.f32 (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)
(/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)
(+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))
(fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 sinTheta_O sinTheta_i)
sinTheta_O
sinTheta_i
v
(/.f32 #s(literal 1 binary32) #s(approx (/ 1 (* (exp (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v))) (/ 1/2 v))) (*.f32 #s(literal 2 binary32) (/.f32 v (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)))))))
(/.f32 #s(literal 1 binary32) #s(approx (/ 1 (* (exp (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v))) (/ 1/2 v))) (*.f32 (exp.f32 (-.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) (*.f32 #s(literal 2 binary32) v))))
#s(literal 1 binary32)
#s(approx (/ 1 (* (exp (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v))) (/ 1/2 v))) (*.f32 #s(literal 2 binary32) (/.f32 v (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))))))
#s(approx (/ 1 (* (exp (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v))) (/ 1/2 v))) (*.f32 (exp.f32 (-.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) (*.f32 #s(literal 2 binary32) v)))
(*.f32 #s(literal 2 binary32) (/.f32 v (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)))))
(*.f32 (exp.f32 (-.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) (*.f32 #s(literal 2 binary32) v))
#s(literal 2 binary32)
(/.f32 v (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))))
(/.f32 v (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 (+.f32 #s(literal 1 binary32) (*.f32 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)))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))
#s(literal 6931/10000 binary32)
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)
(/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)
(+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))
(fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))
(*.f32 sinTheta_O sinTheta_i)
sinTheta_O
sinTheta_i
(/.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v))))))
(*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (/.f32 #s(literal 1/2 binary32) v))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v))
(/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)
(-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))
(-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O 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
v
(exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v)))))
(*.f32 (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))) (*.f32 #s(literal 2 binary32) v))
(-.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v))))
(+.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)) (log.f32 (*.f32 #s(literal 2 binary32) v)))
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
(-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v)))
#s(literal 6931/10000 binary32)
(log.f32 (*.f32 #s(literal 2 binary32) v))
(*.f32 #s(literal 2 binary32) v)
#s(literal 2 binary32)

localize184.0ms (1.6%)

Memory
9.2MiB live, 349.7MiB allocated; 34ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.015625
(/.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v))))))
accuracy0.06640625
(-.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v))))
accuracy0.07334865357496846
(exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v)))))
accuracy0.2749863654405956
(/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)
accuracy0.00390625
(/.f32 v (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))))
accuracy0.01171875
(/.f32 #s(literal 1 binary32) #s(approx (/ 1 (* (exp (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v))) (/ 1/2 v))) (*.f32 #s(literal 2 binary32) (/.f32 v (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)))))))
accuracy0.0390625
(-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))
accuracy0.06918210203969388
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)))
accuracy0.0
#s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (neg.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))))
accuracy0.00390625
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)
accuracy0.07204350707537752
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (neg.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)))))
accuracy2.071036715695937
#s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (neg.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)))
accuracy0.0
(*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32))
accuracy0.0
(exp.f32 #s(literal 6931/10000 binary32))
accuracy0.078125
(/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)) v)
accuracy6.682308518871454
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)) v))
accuracy0.01171875
(/.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 (log.f32 v) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)))))
accuracy0.0390625
(+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))
accuracy0.06015134254663357
(exp.f32 (-.f32 (log.f32 v) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))))
accuracy0.06640625
(-.f32 (log.f32 v) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)))
Samples
118.0ms199×0exit
24.0ms57×0valid
Compiler

Compiled 442 to 65 computations (85.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 119.0ms
ival-div: 38.0ms (31.8% of total)
ival-add: 32.0ms (26.8% of total)
ival-exp: 13.0ms (10.9% of total)
ival-mult: 11.0ms (9.2% of total)
ival-sub: 10.0ms (8.4% of total)
ival-log: 10.0ms (8.4% of total)
const: 4.0ms (3.4% of total)
ival-neg: 1.0ms (0.8% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series420.0ms (3.7%)

Memory
-20.3MiB live, 511.2MiB allocated; 74ms collecting garbage
Counts
25 → 294
Calls
Call 1
Inputs
(exp.f32 (-.f32 (log.f32 v) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))))
(/.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 (log.f32 v) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)))))
(-.f32 (log.f32 v) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)))
(log.f32 v)
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)) v))
(/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)) v)
(*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32))
(exp.f32 #s(literal 6931/10000 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (neg.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)))))
#s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (neg.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))))
#s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (neg.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)))
(/.f32 #s(literal 1 binary32) #s(approx (/ 1 (* (exp (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v))) (/ 1/2 v))) (*.f32 #s(literal 2 binary32) (/.f32 v (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)))))))
#s(approx (/ 1 (* (exp (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v))) (/ 1/2 v))) (*.f32 #s(literal 2 binary32) (/.f32 v (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))))))
(*.f32 #s(literal 2 binary32) (/.f32 v (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)))))
(/.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v))))))
(exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v)))))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v))
(/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)
(+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))
(/.f32 v (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))))
(-.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v))))
Outputs
(exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))
(+ (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (* -1 (/ (* cosTheta_O (* cosTheta_i (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))) v)))
(+ (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (* cosTheta_i (+ (* -1 (/ (* cosTheta_O (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))) v)) (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))) (pow v 2))))))
(+ (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (* cosTheta_i (+ (* -1 (/ (* cosTheta_O (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))) v)) (* cosTheta_i (+ (* -1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))) (pow v 2))))))))
(/ 1/2 (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))
(+ (* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) (* 1/2 (/ 1 (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))))
(+ (* cosTheta_i (- (* -1 (* cosTheta_i (+ (* -1/2 (/ (pow cosTheta_O 2) (* (pow v 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) (* 1/4 (/ (pow cosTheta_O 2) (* (pow v 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))))))) (* -1/2 (/ cosTheta_O (* v (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))))) (* 1/2 (/ 1 (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))))
(+ (* cosTheta_i (- (* cosTheta_i (- (* -1 (* cosTheta_i (+ (* -1/12 (/ (pow cosTheta_O 3) (* (pow v 3) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) (+ (* 1/4 (/ (pow cosTheta_O 3) (* (pow v 3) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) (/ (* cosTheta_O (+ (* -1/2 (/ (pow cosTheta_O 2) (* (pow v 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) (* 1/4 (/ (pow cosTheta_O 2) (* (pow v 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))))) v))))) (+ (* -1/2 (/ (pow cosTheta_O 2) (* (pow v 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) (* 1/4 (/ (pow cosTheta_O 2) (* (pow v 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))))))) (* -1/2 (/ cosTheta_O (* v (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))))) (* 1/2 (/ 1 (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))))
(- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)
(- (+ (log v) (+ (* -1 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 6931/10000)
(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))))
(- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) 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)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))))
(+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* cosTheta_i (+ (* 1/4 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))))
(+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* cosTheta_i (+ (* 1/2 (/ (* cosTheta_O (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))) (* cosTheta_i (+ (* 1/12 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 4))) (* 1/4 (/ (* (pow cosTheta_O 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 3))))))))
(* 2 (/ v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
(+ (* -2 (/ (* cosTheta_O cosTheta_i) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 2 (/ v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))
(+ (* 2 (/ v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* cosTheta_i (+ (* -2 (* cosTheta_i (+ (* -1 (/ (pow cosTheta_O 2) (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* 1/2 (/ (pow cosTheta_O 2) (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))) (* -2 (/ cosTheta_O (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))
(+ (* 2 (/ v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* cosTheta_i (+ (* -2 (/ cosTheta_O (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* cosTheta_i (+ (* -2 (* cosTheta_i (+ (* -1 (/ (* cosTheta_O (+ (* -1 (/ (pow cosTheta_O 2) (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* 1/2 (/ (pow cosTheta_O 2) (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) v)) (+ (* -1/2 (/ (pow cosTheta_O 3) (* (pow v 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* 1/6 (/ (pow cosTheta_O 3) (* (pow v 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))))) (* -2 (+ (* -1 (/ (pow cosTheta_O 2) (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* 1/2 (/ (pow cosTheta_O 2) (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))))))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000)))
(+ (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))) (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* v (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000)))))
(+ (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))))) (/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000)))))) (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))))
(+ (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 3) (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))))))) (/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000)))))) (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(+ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v))
(+ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))) (/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v))))
(+ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))))) (/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(/ 1/2 (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))
(* -1 (/ (* cosTheta_O cosTheta_i) v))
(* cosTheta_i (- (+ (/ 1 (* cosTheta_i v)) (+ (/ (log v) cosTheta_i) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))) (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (+ (/ cosTheta_O v) (/ (log (/ 1/2 v)) cosTheta_i))) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))
(* 2 (/ v (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
(/ (exp (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000)))
(exp (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))
(* cosTheta_i (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ cosTheta_O v)))
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v)) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(* -1 (* cosTheta_i (- (* -1 (/ (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000) cosTheta_i)) (* -1 (/ cosTheta_O v)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(+ (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (* cosTheta_O (+ (* -1 (/ (* cosTheta_i (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))) v)) (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))) (pow v 2))))))
(+ (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (* cosTheta_O (+ (* -1 (/ (* cosTheta_i (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))) v)) (* cosTheta_O (+ (* -1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))) (pow v 2))))))))
(+ (* cosTheta_O (- (* -1 (* cosTheta_O (+ (* -1/2 (/ (pow cosTheta_i 2) (* (pow v 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) (* 1/4 (/ (pow cosTheta_i 2) (* (pow v 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))))))) (* -1/2 (/ cosTheta_i (* v (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))))) (* 1/2 (/ 1 (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))))
(+ (* cosTheta_O (- (* cosTheta_O (- (* -1 (* cosTheta_O (+ (* -1/12 (/ (pow cosTheta_i 3) (* (pow v 3) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) (+ (* 1/4 (/ (pow cosTheta_i 3) (* (pow v 3) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) (/ (* cosTheta_i (+ (* -1/2 (/ (pow cosTheta_i 2) (* (pow v 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) (* 1/4 (/ (pow cosTheta_i 2) (* (pow v 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))))) v))))) (+ (* -1/2 (/ (pow cosTheta_i 2) (* (pow v 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) (* 1/4 (/ (pow cosTheta_i 2) (* (pow v 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))))))) (* -1/2 (/ cosTheta_i (* v (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))))) (* 1/2 (/ 1 (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))))
(+ (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))))
(+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* cosTheta_O (+ (* 1/4 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))))
(+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))) (* cosTheta_O (+ (* 1/12 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 4))) (* 1/4 (/ (* (pow cosTheta_i 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 3))))))))
(+ (* 2 (/ v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* cosTheta_O (+ (* -2 (* cosTheta_O (+ (* -1 (/ (pow cosTheta_i 2) (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* 1/2 (/ (pow cosTheta_i 2) (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))) (* -2 (/ cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))
(+ (* 2 (/ v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* cosTheta_O (+ (* -2 (/ cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* cosTheta_O (+ (* -2 (* cosTheta_O (+ (* -1 (/ (* cosTheta_i (+ (* -1 (/ (pow cosTheta_i 2) (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* 1/2 (/ (pow cosTheta_i 2) (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) v)) (+ (* -1/2 (/ (pow cosTheta_i 3) (* (pow v 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* 1/6 (/ (pow cosTheta_i 3) (* (pow v 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))))) (* -2 (+ (* -1 (/ (pow cosTheta_i 2) (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* 1/2 (/ (pow cosTheta_i 2) (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))))))))
(+ (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))))) (/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000)))))) (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))))
(+ (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 3) (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))))))) (/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000)))))) (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))))
(+ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))) (/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v))))
(+ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))))) (/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v))))
(* cosTheta_O (- (+ (/ 1 (* cosTheta_O v)) (+ (/ (log v) cosTheta_O) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))) (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v))))
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (+ (/ cosTheta_i v) (/ (log (/ 1/2 v)) cosTheta_O))) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(* cosTheta_O (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v)))
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v)) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(* -1 (* cosTheta_O (- (* -1 (/ (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000) cosTheta_O)) (* -1 (/ cosTheta_i v)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
(exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(+ (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (/ (* sinTheta_O (* sinTheta_i (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))) v))
(+ (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (* sinTheta_i (+ (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))) (pow v 2))) (/ (* sinTheta_O (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))) v))))
(+ (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))) (pow v 2))))) (/ (* sinTheta_O (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))) v))))
(/ 1/2 (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))
(+ (* -1/2 (/ (* sinTheta_O sinTheta_i) (* v (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))) (* 1/2 (/ 1 (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))))
(+ (* sinTheta_i (- (* -1 (* sinTheta_i (+ (* -1/2 (/ (pow sinTheta_O 2) (* (pow v 2) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))) (* 1/4 (/ (pow sinTheta_O 2) (* (pow v 2) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))))))) (* 1/2 (/ sinTheta_O (* v (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))))) (* 1/2 (/ 1 (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))))
(+ (* sinTheta_i (- (* sinTheta_i (- (* -1 (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (+ (* -1/2 (/ (pow sinTheta_O 2) (* (pow v 2) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))) (* 1/4 (/ (pow sinTheta_O 2) (* (pow v 2) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))))) v)) (+ (* -1/4 (/ (pow sinTheta_O 3) (* (pow v 3) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))) (* 1/12 (/ (pow sinTheta_O 3) (* (pow v 3) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))))))) (+ (* -1/2 (/ (pow sinTheta_O 2) (* (pow v 2) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))) (* 1/4 (/ (pow sinTheta_O 2) (* (pow v 2) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))))))) (* 1/2 (/ sinTheta_O (* v (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))))) (* 1/2 (/ 1 (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))))
(- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))
(- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_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))))))))
1
(+ 1 (* sinTheta_O sinTheta_i))
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))
(- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))
(* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v))
(+ (* -1/2 (/ (* sinTheta_O (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (pow v 2))) (* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)))
(+ (* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (* sinTheta_i (+ (* -1/2 (/ (* sinTheta_O (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) (pow v 2))) (* 1/4 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (pow v 3))))))
(+ (* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (* sinTheta_i (+ (* -1/2 (/ (* sinTheta_O (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) (pow v 2))) (* sinTheta_i (+ (* -1/12 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (pow v 4))) (* 1/4 (/ (* (pow sinTheta_O 2) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) (pow v 3))))))))
(* 2 (/ v (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))))
(+ (* 2 (/ v (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (* 2 (/ (* sinTheta_O sinTheta_i) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))))
(+ (* 2 (/ v (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (* sinTheta_i (+ (* -2 (* sinTheta_i (+ (* -1 (/ (pow sinTheta_O 2) (* v (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))))) (* 1/2 (/ (pow sinTheta_O 2) (* v (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))))))) (* 2 (/ sinTheta_O (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))))))
(+ (* 2 (/ v (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (* sinTheta_i (+ (* 2 (/ sinTheta_O (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (* sinTheta_i (+ (* -2 (* sinTheta_i (+ (* -1/6 (/ (pow sinTheta_O 3) (* (pow v 2) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))))) (+ (* 1/2 (/ (pow sinTheta_O 3) (* (pow v 2) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))))) (/ (* sinTheta_O (+ (* -1 (/ (pow sinTheta_O 2) (* v (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))))) (* 1/2 (/ (pow sinTheta_O 2) (* v (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))))))) v))))) (* -2 (+ (* -1 (/ (pow sinTheta_O 2) (* v (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))))) (* 1/2 (/ (pow sinTheta_O 2) (* v (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))))))))))))
(* 2 (/ v (exp (- 6931/10000 (/ 1 v)))))
(+ (* 2 (/ v (exp (- 6931/10000 (/ 1 v))))) (* 2 (/ (* sinTheta_O sinTheta_i) (exp (- 6931/10000 (/ 1 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))))))))
(+ (* 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)))))))))))))
(/ (exp (/ (* cosTheta_O cosTheta_i) v)) (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000)))
(+ (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (/ (* cosTheta_O cosTheta_i) v)))) (* v (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))))) (/ (exp (/ (* cosTheta_O cosTheta_i) v)) (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))))
(+ (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (/ (* cosTheta_O cosTheta_i) v))) (* v (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))))) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (/ (* cosTheta_O cosTheta_i) v)))) (* (pow v 2) (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))))))) (/ (exp (/ (* cosTheta_O cosTheta_i) v)) (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))))
(+ (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (/ (* cosTheta_O cosTheta_i) v))) (* v (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))))) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (/ (* cosTheta_O cosTheta_i) v)))) (* (pow v 3) (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (/ (* cosTheta_O cosTheta_i) v))) (* (pow v 2) (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))))))))) (/ (exp (/ (* cosTheta_O cosTheta_i) v)) (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))))
(exp (/ (* cosTheta_O cosTheta_i) v))
(+ (exp (/ (* cosTheta_O cosTheta_i) v)) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (/ (* cosTheta_O cosTheta_i) v)))) v)))
(+ (exp (/ (* cosTheta_O cosTheta_i) v)) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (/ (* cosTheta_O cosTheta_i) v))) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (/ (* cosTheta_O cosTheta_i) v)))) (pow v 2))))))
(+ (exp (/ (* cosTheta_O cosTheta_i) v)) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (/ (* cosTheta_O cosTheta_i) v))) v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (/ (* cosTheta_O cosTheta_i) v)))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (/ (* cosTheta_O cosTheta_i) v))) (pow v 2))))))))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(/ 1 v)
(+ (/ 1 v) (/ (* 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))))))))
(- 6931/10000 (/ 1 v))
(- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))
(/ v (exp (- 6931/10000 (/ 1 v))))
(+ (/ v (exp (- 6931/10000 (/ 1 v)))) (/ (* sinTheta_O sinTheta_i) (exp (- 6931/10000 (/ 1 v)))))
(+ (* sinTheta_i (- (* -1 (* 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))))))))) (* -1 (/ sinTheta_O (exp (- 6931/10000 (/ 1 v))))))) (/ v (exp (- 6931/10000 (/ 1 v)))))
(+ (* sinTheta_i (- (* sinTheta_i (- (* -1 (* 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))))) (+ (* -1 (/ (pow sinTheta_O 2) (* v (exp (- 6931/10000 (/ 1 v)))))) (* 1/2 (/ (pow sinTheta_O 2) (* v (exp (- 6931/10000 (/ 1 v))))))))) (* -1 (/ sinTheta_O (exp (- 6931/10000 (/ 1 v))))))) (/ v (exp (- 6931/10000 (/ 1 v)))))
(/ (* sinTheta_O sinTheta_i) v)
(* sinTheta_i (- (+ (/ 1 (* sinTheta_i v)) (+ (/ sinTheta_O v) (/ (log v) sinTheta_i))) (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)))))
(* sinTheta_O sinTheta_i)
(* sinTheta_i (+ sinTheta_O (/ 1 sinTheta_i)))
(* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ (log (/ 1/2 v)) sinTheta_i) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (log (/ 1/2 v)) sinTheta_i)) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))
(* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(* sinTheta_i (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v)))
(exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(* sinTheta_i (- (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(/ v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))
(* -1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* -1 (/ (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))) sinTheta_i)))))
(* -1 (* sinTheta_i (- (* -1 sinTheta_O) (/ 1 sinTheta_i))))
(* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ sinTheta_O v))))
(* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(* -1 (* sinTheta_i (- (* -1 (/ sinTheta_O v)) (/ 1 (* sinTheta_i v)))))
(* -1 (* sinTheta_i (- (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(+ (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (* sinTheta_O (+ (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))) (pow v 2))) (/ (* sinTheta_i (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))) v))))
(+ (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (* sinTheta_O (+ (* sinTheta_O (+ (* 1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))) (pow v 2))))) (/ (* sinTheta_i (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))) v))))
(+ (* sinTheta_O (- (* -1 (* sinTheta_O (+ (* -1/2 (/ (pow sinTheta_i 2) (* (pow v 2) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))) (* 1/4 (/ (pow sinTheta_i 2) (* (pow v 2) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))))))) (* 1/2 (/ sinTheta_i (* v (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))))) (* 1/2 (/ 1 (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))))
(+ (* sinTheta_O (- (* sinTheta_O (- (* -1 (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (+ (* -1/2 (/ (pow sinTheta_i 2) (* (pow v 2) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))) (* 1/4 (/ (pow sinTheta_i 2) (* (pow v 2) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))))) v)) (+ (* -1/4 (/ (pow sinTheta_i 3) (* (pow v 3) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))) (* 1/12 (/ (pow sinTheta_i 3) (* (pow v 3) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))))))) (+ (* -1/2 (/ (pow sinTheta_i 2) (* (pow v 2) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))) (* 1/4 (/ (pow sinTheta_i 2) (* (pow v 2) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))))))) (* 1/2 (/ sinTheta_i (* v (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))))) (* 1/2 (/ 1 (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) 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))))))))
(+ (* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (* sinTheta_O (+ (* -1/2 (/ (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) (pow v 2))) (* 1/4 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (pow v 3))))))
(+ (* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (* sinTheta_O (+ (* -1/2 (/ (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) (pow v 2))) (* sinTheta_O (+ (* -1/12 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (pow v 4))) (* 1/4 (/ (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) (pow v 3))))))))
(+ (* 2 (/ v (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (* sinTheta_O (+ (* -2 (* sinTheta_O (+ (* -1 (/ (pow sinTheta_i 2) (* v (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))))) (* 1/2 (/ (pow sinTheta_i 2) (* v (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))))))) (* 2 (/ sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))))))
(+ (* 2 (/ v (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (* sinTheta_O (+ (* 2 (/ sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (* sinTheta_O (+ (* -2 (* sinTheta_O (+ (* -1/6 (/ (pow sinTheta_i 3) (* (pow v 2) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))))) (+ (* 1/2 (/ (pow sinTheta_i 3) (* (pow v 2) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))))) (/ (* sinTheta_i (+ (* -1 (/ (pow sinTheta_i 2) (* v (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))))) (* 1/2 (/ (pow sinTheta_i 2) (* v (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))))))) v))))) (* -2 (+ (* -1 (/ (pow sinTheta_i 2) (* v (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))))) (* 1/2 (/ (pow sinTheta_i 2) (* v (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 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))))))))
(+ (* 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)))))))))))))
(+ (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (/ (* cosTheta_O cosTheta_i) v))) (* v (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))))) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (/ (* cosTheta_O cosTheta_i) v)))) (* (pow v 2) (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))))))) (/ (exp (/ (* cosTheta_O cosTheta_i) v)) (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))))
(+ (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (/ (* cosTheta_O cosTheta_i) v))) (* v (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))))) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (/ (* cosTheta_O cosTheta_i) v)))) (* (pow v 3) (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (/ (* cosTheta_O cosTheta_i) v))) (* (pow v 2) (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))))))))) (/ (exp (/ (* cosTheta_O cosTheta_i) v)) (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))))
(+ (exp (/ (* cosTheta_O cosTheta_i) v)) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (/ (* cosTheta_O cosTheta_i) v))) v)) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (/ (* cosTheta_O cosTheta_i) v)))) (pow v 2))))))
(+ (exp (/ (* cosTheta_O cosTheta_i) v)) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (/ (* cosTheta_O cosTheta_i) v))) v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (/ (* cosTheta_O cosTheta_i) v)))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (/ (* cosTheta_O cosTheta_i) v))) (pow v 2))))))))
(+ (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))))))))
(+ (* sinTheta_O (- (* -1 (* 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))))))))) (* -1 (/ sinTheta_i (exp (- 6931/10000 (/ 1 v))))))) (/ v (exp (- 6931/10000 (/ 1 v)))))
(+ (* sinTheta_O (- (* sinTheta_O (- (* -1 (* 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))))) (+ (* -1 (/ (pow sinTheta_i 2) (* v (exp (- 6931/10000 (/ 1 v)))))) (* 1/2 (/ (pow sinTheta_i 2) (* v (exp (- 6931/10000 (/ 1 v))))))))) (* -1 (/ sinTheta_i (exp (- 6931/10000 (/ 1 v))))))) (/ v (exp (- 6931/10000 (/ 1 v)))))
(* sinTheta_O (- (+ (/ 1 (* sinTheta_O v)) (+ (/ sinTheta_i v) (/ (log v) sinTheta_O))) (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)))))
(* sinTheta_O (+ sinTheta_i (/ 1 sinTheta_O)))
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(* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (log (/ 1/2 v)) sinTheta_O)) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))
(* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(* sinTheta_O (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v)))
(* sinTheta_O (- (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(* -1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* -1 (/ (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))) sinTheta_O)))))
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(* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)) sinTheta_O)) (* -1 (/ 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 (/ sinTheta_i v)) (/ 1 (* sinTheta_O v)))))
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(log v)
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(* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))
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(/ (+ 1 (* v (- (+ (log 2) (log v)) 6931/10000))) v)
(exp (- (* -1 (log (/ 1 v))) 6931/10000))
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(/ 1/2 (exp (- (* -1 (log (/ 1 v))) 6931/10000)))
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(* -1 (log (/ 1 v)))
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(* 2 (/ v (exp 6931/10000)))
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(* v (+ (* 2 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* v (exp 6931/10000)))) (* 2 (/ 1 (exp 6931/10000)))))
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(/ 1 (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)))
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6931/10000
(exp 6931/10000)
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(/ v (exp 6931/10000))
(* v (+ (/ 1 (exp 6931/10000)) (+ (/ 1 (* v (exp 6931/10000))) (/ (* sinTheta_O sinTheta_i) (* v (exp 6931/10000))))))
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(+ (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)))
(+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))
(+ 6931/10000 (+ (log -1/2) (+ (log (/ -1 v)) (* -1 (/ (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) v)))))
(+ 6931/10000 (+ (log -1/2) (+ (log (/ -1 v)) (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))
(* -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 (* v (- (* 2 (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) (* v (exp 6931/10000)))) (* 2 (/ 1 (exp 6931/10000))))))
(* -1 (* v (- (* -1 (/ (- (+ (* -1 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (* v (exp 6931/10000)))) (* 2 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (* v (exp 6931/10000))))) (* 2 (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) (exp 6931/10000)))) v)) (* 2 (/ 1 (exp 6931/10000))))))
(* -1 (* v (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3) (* v (exp 6931/10000)))) (+ (* 1/3 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3) (* v (exp 6931/10000)))) (/ (* (+ (* -1 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (exp 6931/10000))) (* 2 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (exp 6931/10000)))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v))) (+ (* -1 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (exp 6931/10000))) (* 2 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (exp 6931/10000))))) v)) (* 2 (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) (exp 6931/10000)))) v)) (* 2 (/ 1 (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 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))
(+ (* -1 (/ (+ (* -1 (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))) (/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))) v)) (/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))))
(+ (* -1 (/ (+ (* -1 (/ (- (* 1/2 (/ (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2) (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))) (+ (* -1 (+ (* -1 (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))) (/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))))) (* 1/2 (/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))))) v)) (+ (* -1 (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))) (/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))))) v)) (/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))))
(+ (* -1 (/ (+ (* -1 (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))) (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/6 (/ (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 3) (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))) (* 1/6 (/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))))) (+ (* -1 (- (* 1/2 (/ (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2) (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))) (+ (* -1 (+ (* -1 (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))) (/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))))) (* 1/2 (/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))))))) (* 1/2 (+ (* -1 (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))) (/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))))))) v)) (* 1/2 (/ (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2) (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))))) (+ (* -1 (+ (* -1 (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))) (/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))))) (* 1/2 (/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))))) v)) (/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))))) v)) (/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))))
(exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))
(+ (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)) (/ (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)) v))
(+ (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)) (* -1 (/ (+ (* -1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))) (* -1/2 (/ (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)) v))) v)))
(+ (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)) (* -1 (/ (+ (* -1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))) (* -1 (/ (+ (* 1/6 (/ (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)) v)) (* 1/2 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))) v))) v)))
(+ 1 (* -1 (/ (+ (* -1 (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (* -1/2 (/ (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2) v))) v)))
(+ 1 (* -1 (/ (+ (* -1 (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (* -1 (/ (+ (* 1/6 (/ (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 3) v)) (* 1/2 (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2))) v))) 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)))
(* -1 (* v (- (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* v (exp 6931/10000)))) (/ 1 (exp 6931/10000)))))
(* -1 (* v (- (* -1 (/ (- (+ (* -1/2 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* v (exp 6931/10000)))) (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* v (exp 6931/10000)))) (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) (exp 6931/10000)))) v)) (/ 1 (exp 6931/10000)))))
(* -1 (* v (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ 1 (* sinTheta_O sinTheta_i)) (+ (* -1/2 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (exp 6931/10000))) (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (exp 6931/10000)))) v)) (+ (* -1/6 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* v (exp 6931/10000)))) (* 1/2 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* v (exp 6931/10000)))))) (+ (* -1/2 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (exp 6931/10000))) (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (exp 6931/10000)))) v)) (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) (exp 6931/10000)))) v)) (/ 1 (exp 6931/10000)))))
(- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)
(- (+ (log -2) (+ (* -1 (log (/ -1 v))) (/ 1 v))) 6931/10000)
Calls

15 calls:

TimeVariablePointExpression
123.0ms
v
@-inf
((exp (- (log v) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000))) (/ 1/2 (exp (- (log v) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000)))) (- (log v) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000)) (log v) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (/ (* (exp 6931/10000) 1/2) v) (* (exp 6931/10000) 1/2) (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (/ 1 (/ 1 (* (exp (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v))) (/ 1/2 v)))) (/ 1 (* (exp (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v))) (/ 1/2 v))) (* 2 (/ v (exp (- 6931/10000 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) (/ (exp (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v)) (exp (- (/ 1 v) (- 6931/10000 (log (* 2 v)))))) (exp (- (/ 1 v) (- 6931/10000 (log (* 2 v))))) (exp (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v)) (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000) (/ (+ 1 (* sinTheta_O sinTheta_i)) v) (exp (- 6931/10000 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))) (- 6931/10000 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (/ v (exp (- 6931/10000 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) (- (/ 1 v) (- 6931/10000 (log (* 2 v)))))
64.0ms
v
@0
((exp (- (log v) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000))) (/ 1/2 (exp (- (log v) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000)))) (- (log v) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000)) (log v) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (/ (* (exp 6931/10000) 1/2) v) (* (exp 6931/10000) 1/2) (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (/ 1 (/ 1 (* (exp (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v))) (/ 1/2 v)))) (/ 1 (* (exp (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v))) (/ 1/2 v))) (* 2 (/ v (exp (- 6931/10000 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) (/ (exp (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v)) (exp (- (/ 1 v) (- 6931/10000 (log (* 2 v)))))) (exp (- (/ 1 v) (- 6931/10000 (log (* 2 v))))) (exp (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v)) (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000) (/ (+ 1 (* sinTheta_O sinTheta_i)) v) (exp (- 6931/10000 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))) (- 6931/10000 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (/ v (exp (- 6931/10000 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) (- (/ 1 v) (- 6931/10000 (log (* 2 v)))))
39.0ms
v
@inf
((exp (- (log v) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000))) (/ 1/2 (exp (- (log v) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000)))) (- (log v) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000)) (log v) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (/ (* (exp 6931/10000) 1/2) v) (* (exp 6931/10000) 1/2) (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (/ 1 (/ 1 (* (exp (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v))) (/ 1/2 v)))) (/ 1 (* (exp (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v))) (/ 1/2 v))) (* 2 (/ v (exp (- 6931/10000 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) (/ (exp (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v)) (exp (- (/ 1 v) (- 6931/10000 (log (* 2 v)))))) (exp (- (/ 1 v) (- 6931/10000 (log (* 2 v))))) (exp (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v)) (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000) (/ (+ 1 (* sinTheta_O sinTheta_i)) v) (exp (- 6931/10000 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))) (- 6931/10000 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (/ v (exp (- 6931/10000 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) (- (/ 1 v) (- 6931/10000 (log (* 2 v)))))
38.0ms
cosTheta_O
@inf
((exp (- (log v) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000))) (/ 1/2 (exp (- (log v) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000)))) (- (log v) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000)) (log v) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (/ (* (exp 6931/10000) 1/2) v) (* (exp 6931/10000) 1/2) (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (/ 1 (/ 1 (* (exp (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v))) (/ 1/2 v)))) (/ 1 (* (exp (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v))) (/ 1/2 v))) (* 2 (/ v (exp (- 6931/10000 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) (/ (exp (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v)) (exp (- (/ 1 v) (- 6931/10000 (log (* 2 v)))))) (exp (- (/ 1 v) (- 6931/10000 (log (* 2 v))))) (exp (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v)) (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000) (/ (+ 1 (* sinTheta_O sinTheta_i)) v) (exp (- 6931/10000 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))) (- 6931/10000 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (/ v (exp (- 6931/10000 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) (- (/ 1 v) (- 6931/10000 (log (* 2 v)))))
21.0ms
cosTheta_i
@inf
((exp (- (log v) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000))) (/ 1/2 (exp (- (log v) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000)))) (- (log v) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000)) (log v) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (/ (* (exp 6931/10000) 1/2) v) (* (exp 6931/10000) 1/2) (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (/ 1 (/ 1 (* (exp (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v))) (/ 1/2 v)))) (/ 1 (* (exp (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v))) (/ 1/2 v))) (* 2 (/ v (exp (- 6931/10000 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) (/ (exp (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v)) (exp (- (/ 1 v) (- 6931/10000 (log (* 2 v)))))) (exp (- (/ 1 v) (- 6931/10000 (log (* 2 v))))) (exp (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v)) (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000) (/ (+ 1 (* sinTheta_O sinTheta_i)) v) (exp (- 6931/10000 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))) (- 6931/10000 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (/ v (exp (- 6931/10000 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) (- (/ 1 v) (- 6931/10000 (log (* 2 v)))))

simplify210.0ms (1.8%)

Memory
11.5MiB live, 286.7MiB allocated; 37ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0176111659
1647011237
0824310627
Stop Event
iter limit
node limit
Counts
294 → 294
Calls
Call 1
Inputs
(exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))
(+ (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (* -1 (/ (* cosTheta_O (* cosTheta_i (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))) v)))
(+ (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (* cosTheta_i (+ (* -1 (/ (* cosTheta_O (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))) v)) (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))) (pow v 2))))))
(+ (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (* cosTheta_i (+ (* -1 (/ (* cosTheta_O (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))) v)) (* cosTheta_i (+ (* -1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))) (pow v 2))))))))
(/ 1/2 (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))
(+ (* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) (* 1/2 (/ 1 (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))))
(+ (* cosTheta_i (- (* -1 (* cosTheta_i (+ (* -1/2 (/ (pow cosTheta_O 2) (* (pow v 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) (* 1/4 (/ (pow cosTheta_O 2) (* (pow v 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))))))) (* -1/2 (/ cosTheta_O (* v (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))))) (* 1/2 (/ 1 (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))))
(+ (* cosTheta_i (- (* cosTheta_i (- (* -1 (* cosTheta_i (+ (* -1/12 (/ (pow cosTheta_O 3) (* (pow v 3) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) (+ (* 1/4 (/ (pow cosTheta_O 3) (* (pow v 3) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) (/ (* cosTheta_O (+ (* -1/2 (/ (pow cosTheta_O 2) (* (pow v 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) (* 1/4 (/ (pow cosTheta_O 2) (* (pow v 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))))) v))))) (+ (* -1/2 (/ (pow cosTheta_O 2) (* (pow v 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) (* 1/4 (/ (pow cosTheta_O 2) (* (pow v 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))))))) (* -1/2 (/ cosTheta_O (* v (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))))) (* 1/2 (/ 1 (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))))
(- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)
(- (+ (log v) (+ (* -1 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 6931/10000)
(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))))
(- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) 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)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))))
(+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* cosTheta_i (+ (* 1/4 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))))
(+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* cosTheta_i (+ (* 1/2 (/ (* cosTheta_O (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))) (* cosTheta_i (+ (* 1/12 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 4))) (* 1/4 (/ (* (pow cosTheta_O 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 3))))))))
(* 2 (/ v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
(+ (* -2 (/ (* cosTheta_O cosTheta_i) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 2 (/ v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))
(+ (* 2 (/ v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* cosTheta_i (+ (* -2 (* cosTheta_i (+ (* -1 (/ (pow cosTheta_O 2) (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* 1/2 (/ (pow cosTheta_O 2) (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))) (* -2 (/ cosTheta_O (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))
(+ (* 2 (/ v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* cosTheta_i (+ (* -2 (/ cosTheta_O (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* cosTheta_i (+ (* -2 (* cosTheta_i (+ (* -1 (/ (* cosTheta_O (+ (* -1 (/ (pow cosTheta_O 2) (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* 1/2 (/ (pow cosTheta_O 2) (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) v)) (+ (* -1/2 (/ (pow cosTheta_O 3) (* (pow v 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* 1/6 (/ (pow cosTheta_O 3) (* (pow v 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))))) (* -2 (+ (* -1 (/ (pow cosTheta_O 2) (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* 1/2 (/ (pow cosTheta_O 2) (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))))))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000)))
(+ (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))) (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* v (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000)))))
(+ (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))))) (/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000)))))) (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))))
(+ (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 3) (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))))))) (/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000)))))) (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(+ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v))
(+ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))) (/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v))))
(+ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))))) (/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(/ 1/2 (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))
(* -1 (/ (* cosTheta_O cosTheta_i) v))
(* cosTheta_i (- (+ (/ 1 (* cosTheta_i v)) (+ (/ (log v) cosTheta_i) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))) (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (+ (/ cosTheta_O v) (/ (log (/ 1/2 v)) cosTheta_i))) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))
(* 2 (/ v (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
(/ (exp (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000)))
(exp (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))
(* cosTheta_i (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ cosTheta_O v)))
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v)) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(* -1 (* cosTheta_i (- (* -1 (/ (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000) cosTheta_i)) (* -1 (/ cosTheta_O v)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(+ (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (* cosTheta_O (+ (* -1 (/ (* cosTheta_i (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))) v)) (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))) (pow v 2))))))
(+ (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (* cosTheta_O (+ (* -1 (/ (* cosTheta_i (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))) v)) (* cosTheta_O (+ (* -1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))) (pow v 2))))))))
(+ (* cosTheta_O (- (* -1 (* cosTheta_O (+ (* -1/2 (/ (pow cosTheta_i 2) (* (pow v 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) (* 1/4 (/ (pow cosTheta_i 2) (* (pow v 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))))))) (* -1/2 (/ cosTheta_i (* v (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))))) (* 1/2 (/ 1 (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))))
(+ (* cosTheta_O (- (* cosTheta_O (- (* -1 (* cosTheta_O (+ (* -1/12 (/ (pow cosTheta_i 3) (* (pow v 3) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) (+ (* 1/4 (/ (pow cosTheta_i 3) (* (pow v 3) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) (/ (* cosTheta_i (+ (* -1/2 (/ (pow cosTheta_i 2) (* (pow v 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) (* 1/4 (/ (pow cosTheta_i 2) (* (pow v 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))))) v))))) (+ (* -1/2 (/ (pow cosTheta_i 2) (* (pow v 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) (* 1/4 (/ (pow cosTheta_i 2) (* (pow v 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))))))) (* -1/2 (/ cosTheta_i (* v (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))))) (* 1/2 (/ 1 (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))))
(+ (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))))
(+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* cosTheta_O (+ (* 1/4 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))))
(+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))) (* cosTheta_O (+ (* 1/12 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 4))) (* 1/4 (/ (* (pow cosTheta_i 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 3))))))))
(+ (* 2 (/ v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* cosTheta_O (+ (* -2 (* cosTheta_O (+ (* -1 (/ (pow cosTheta_i 2) (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* 1/2 (/ (pow cosTheta_i 2) (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))) (* -2 (/ cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))
(+ (* 2 (/ v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* cosTheta_O (+ (* -2 (/ cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* cosTheta_O (+ (* -2 (* cosTheta_O (+ (* -1 (/ (* cosTheta_i (+ (* -1 (/ (pow cosTheta_i 2) (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* 1/2 (/ (pow cosTheta_i 2) (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) v)) (+ (* -1/2 (/ (pow cosTheta_i 3) (* (pow v 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* 1/6 (/ (pow cosTheta_i 3) (* (pow v 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))))) (* -2 (+ (* -1 (/ (pow cosTheta_i 2) (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* 1/2 (/ (pow cosTheta_i 2) (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))))))))
(+ (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))))) (/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000)))))) (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))))
(+ (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 3) (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))))))) (/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000)))))) (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))))
(+ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))) (/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v))))
(+ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))))) (/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v))))
(* cosTheta_O (- (+ (/ 1 (* cosTheta_O v)) (+ (/ (log v) cosTheta_O) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))) (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v))))
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (+ (/ cosTheta_i v) (/ (log (/ 1/2 v)) cosTheta_O))) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(* cosTheta_O (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v)))
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v)) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(* -1 (* cosTheta_O (- (* -1 (/ (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000) cosTheta_O)) (* -1 (/ cosTheta_i v)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
(exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(+ (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (/ (* sinTheta_O (* sinTheta_i (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))) v))
(+ (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (* sinTheta_i (+ (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))) (pow v 2))) (/ (* sinTheta_O (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))) v))))
(+ (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))) (pow v 2))))) (/ (* sinTheta_O (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))) v))))
(/ 1/2 (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))
(+ (* -1/2 (/ (* sinTheta_O sinTheta_i) (* v (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))) (* 1/2 (/ 1 (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))))
(+ (* sinTheta_i (- (* -1 (* sinTheta_i (+ (* -1/2 (/ (pow sinTheta_O 2) (* (pow v 2) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))) (* 1/4 (/ (pow sinTheta_O 2) (* (pow v 2) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))))))) (* 1/2 (/ sinTheta_O (* v (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))))) (* 1/2 (/ 1 (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))))
(+ (* sinTheta_i (- (* sinTheta_i (- (* -1 (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (+ (* -1/2 (/ (pow sinTheta_O 2) (* (pow v 2) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))) (* 1/4 (/ (pow sinTheta_O 2) (* (pow v 2) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))))) v)) (+ (* -1/4 (/ (pow sinTheta_O 3) (* (pow v 3) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))) (* 1/12 (/ (pow sinTheta_O 3) (* (pow v 3) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))))))) (+ (* -1/2 (/ (pow sinTheta_O 2) (* (pow v 2) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))) (* 1/4 (/ (pow sinTheta_O 2) (* (pow v 2) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))))))) (* 1/2 (/ sinTheta_O (* v (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))))) (* 1/2 (/ 1 (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))))
(- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))
(- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_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))))))))
1
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(- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))
(- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))
(* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v))
(+ (* -1/2 (/ (* sinTheta_O (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (pow v 2))) (* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)))
(+ (* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (* sinTheta_i (+ (* -1/2 (/ (* sinTheta_O (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) (pow v 2))) (* 1/4 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (pow v 3))))))
(+ (* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (* sinTheta_i (+ (* -1/2 (/ (* sinTheta_O (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) (pow v 2))) (* sinTheta_i (+ (* -1/12 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (pow v 4))) (* 1/4 (/ (* (pow sinTheta_O 2) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) (pow v 3))))))))
(* 2 (/ v (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))))
(+ (* 2 (/ v (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (* 2 (/ (* sinTheta_O sinTheta_i) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))))
(+ (* 2 (/ v (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (* sinTheta_i (+ (* -2 (* sinTheta_i (+ (* -1 (/ (pow sinTheta_O 2) (* v (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))))) (* 1/2 (/ (pow sinTheta_O 2) (* v (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))))))) (* 2 (/ sinTheta_O (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))))))
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(* 2 (/ v (exp (- 6931/10000 (/ 1 v)))))
(+ (* 2 (/ v (exp (- 6931/10000 (/ 1 v))))) (* 2 (/ (* sinTheta_O sinTheta_i) (exp (- 6931/10000 (/ 1 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))))))))
(+ (* 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)))))))))))))
(/ (exp (/ (* cosTheta_O cosTheta_i) v)) (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000)))
(+ (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (/ (* cosTheta_O cosTheta_i) v)))) (* v (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))))) (/ (exp (/ (* cosTheta_O cosTheta_i) v)) (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))))
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(exp (/ (* cosTheta_O cosTheta_i) v))
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(+ (exp (/ (* cosTheta_O cosTheta_i) v)) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (/ (* cosTheta_O cosTheta_i) v))) v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (/ (* cosTheta_O cosTheta_i) v)))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (/ (* cosTheta_O cosTheta_i) v))) (pow v 2))))))))
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(/ 1 v)
(+ (/ 1 v) (/ (* 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))))))))
(- 6931/10000 (/ 1 v))
(- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))
(/ v (exp (- 6931/10000 (/ 1 v))))
(+ (/ v (exp (- 6931/10000 (/ 1 v)))) (/ (* sinTheta_O sinTheta_i) (exp (- 6931/10000 (/ 1 v)))))
(+ (* sinTheta_i (- (* -1 (* 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))))))))) (* -1 (/ sinTheta_O (exp (- 6931/10000 (/ 1 v))))))) (/ v (exp (- 6931/10000 (/ 1 v)))))
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(/ (* sinTheta_O sinTheta_i) v)
(* sinTheta_i (- (+ (/ 1 (* sinTheta_i v)) (+ (/ sinTheta_O v) (/ (log v) sinTheta_i))) (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)))))
(* sinTheta_O sinTheta_i)
(* sinTheta_i (+ sinTheta_O (/ 1 sinTheta_i)))
(* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ (log (/ 1/2 v)) sinTheta_i) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (log (/ 1/2 v)) sinTheta_i)) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))
(* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(* sinTheta_i (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v)))
(exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(* sinTheta_i (- (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(/ v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))
(* -1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* -1 (/ (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))) sinTheta_i)))))
(* -1 (* sinTheta_i (- (* -1 sinTheta_O) (/ 1 sinTheta_i))))
(* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ sinTheta_O v))))
(* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(* -1 (* sinTheta_i (- (* -1 (/ sinTheta_O v)) (/ 1 (* sinTheta_i v)))))
(* -1 (* sinTheta_i (- (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(+ (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (* sinTheta_O (+ (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))) (pow v 2))) (/ (* sinTheta_i (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))) v))))
(+ (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (* sinTheta_O (+ (* sinTheta_O (+ (* 1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))) (pow v 2))))) (/ (* sinTheta_i (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))) v))))
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(+ (* sinTheta_O (- (* sinTheta_O (- (* -1 (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (+ (* -1/2 (/ (pow sinTheta_i 2) (* (pow v 2) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))) (* 1/4 (/ (pow sinTheta_i 2) (* (pow v 2) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))))) v)) (+ (* -1/4 (/ (pow sinTheta_i 3) (* (pow v 3) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))) (* 1/12 (/ (pow sinTheta_i 3) (* (pow v 3) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))))))) (+ (* -1/2 (/ (pow sinTheta_i 2) (* (pow v 2) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))) (* 1/4 (/ (pow sinTheta_i 2) (* (pow v 2) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))))))) (* 1/2 (/ sinTheta_i (* v (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))))) (* 1/2 (/ 1 (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) 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))))))))
(+ (* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (* sinTheta_O (+ (* -1/2 (/ (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) (pow v 2))) (* 1/4 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (pow v 3))))))
(+ (* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (* sinTheta_O (+ (* -1/2 (/ (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) (pow v 2))) (* sinTheta_O (+ (* -1/12 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (pow v 4))) (* 1/4 (/ (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) (pow v 3))))))))
(+ (* 2 (/ v (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (* sinTheta_O (+ (* -2 (* sinTheta_O (+ (* -1 (/ (pow sinTheta_i 2) (* v (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))))) (* 1/2 (/ (pow sinTheta_i 2) (* v (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))))))) (* 2 (/ sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))))))
(+ (* 2 (/ v (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (* sinTheta_O (+ (* 2 (/ sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (* sinTheta_O (+ (* -2 (* sinTheta_O (+ (* -1/6 (/ (pow sinTheta_i 3) (* (pow v 2) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))))) (+ (* 1/2 (/ (pow sinTheta_i 3) (* (pow v 2) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))))) (/ (* sinTheta_i (+ (* -1 (/ (pow sinTheta_i 2) (* v (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))))) (* 1/2 (/ (pow sinTheta_i 2) (* v (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))))))) v))))) (* -2 (+ (* -1 (/ (pow sinTheta_i 2) (* v (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))))) (* 1/2 (/ (pow sinTheta_i 2) (* v (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 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))))))))
(+ (* 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)))))))))))))
(+ (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (/ (* cosTheta_O cosTheta_i) v))) (* v (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))))) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (/ (* cosTheta_O cosTheta_i) v)))) (* (pow v 2) (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))))))) (/ (exp (/ (* cosTheta_O cosTheta_i) v)) (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))))
(+ (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (/ (* cosTheta_O cosTheta_i) v))) (* v (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))))) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (/ (* cosTheta_O cosTheta_i) v)))) (* (pow v 3) (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (/ (* cosTheta_O cosTheta_i) v))) (* (pow v 2) (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))))))))) (/ (exp (/ (* cosTheta_O cosTheta_i) v)) (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))))
(+ (exp (/ (* cosTheta_O cosTheta_i) v)) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (/ (* cosTheta_O cosTheta_i) v))) v)) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (/ (* cosTheta_O cosTheta_i) v)))) (pow v 2))))))
(+ (exp (/ (* cosTheta_O cosTheta_i) v)) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (/ (* cosTheta_O cosTheta_i) v))) v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (/ (* cosTheta_O cosTheta_i) v)))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (/ (* cosTheta_O cosTheta_i) v))) (pow v 2))))))))
(+ (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))))))))
(+ (* sinTheta_O (- (* -1 (* 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))))))))) (* -1 (/ sinTheta_i (exp (- 6931/10000 (/ 1 v))))))) (/ v (exp (- 6931/10000 (/ 1 v)))))
(+ (* sinTheta_O (- (* sinTheta_O (- (* -1 (* 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))))) (+ (* -1 (/ (pow sinTheta_i 2) (* v (exp (- 6931/10000 (/ 1 v)))))) (* 1/2 (/ (pow sinTheta_i 2) (* v (exp (- 6931/10000 (/ 1 v))))))))) (* -1 (/ sinTheta_i (exp (- 6931/10000 (/ 1 v))))))) (/ v (exp (- 6931/10000 (/ 1 v)))))
(* sinTheta_O (- (+ (/ 1 (* sinTheta_O v)) (+ (/ sinTheta_i v) (/ (log v) sinTheta_O))) (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)))))
(* sinTheta_O (+ sinTheta_i (/ 1 sinTheta_O)))
(* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ (log (/ 1/2 v)) sinTheta_O) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (log (/ 1/2 v)) sinTheta_O)) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))
(* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(* sinTheta_O (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v)))
(* sinTheta_O (- (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(* -1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* -1 (/ (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))) sinTheta_O)))))
(* -1 (* sinTheta_O (- (* -1 sinTheta_i) (/ 1 sinTheta_O))))
(* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
(* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ sinTheta_i v))))
(* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
(* -1 (* sinTheta_O (- (* -1 (/ sinTheta_i v)) (/ 1 (* sinTheta_O v)))))
(* -1 (* sinTheta_O (- (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
(/ (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) v)
(/ (- (+ 1 (+ (* sinTheta_O sinTheta_i) (* v (- (log v) 6931/10000)))) (* cosTheta_O cosTheta_i)) v)
(log v)
(* 1/2 (/ (exp 6931/10000) v))
(/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/ (- (+ (* cosTheta_O cosTheta_i) (* v (+ 6931/10000 (+ (log 1/2) (* -1 (log v)))))) (+ 1 (* sinTheta_O sinTheta_i))) v)
(* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))
(/ (- (* v (+ 6931/10000 (+ (log 1/2) (* -1 (log v))))) (+ 1 (* sinTheta_O sinTheta_i))) v)
(exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))
(/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)
(/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/ (+ 1 (* sinTheta_O sinTheta_i)) v)
(/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/ (+ 1 (* v (- (+ (log 2) (log v)) 6931/10000))) v)
(exp (- (* -1 (log (/ 1 v))) 6931/10000))
(+ (exp (- (* -1 (log (/ 1 v))) 6931/10000)) (/ (* (exp (- (* -1 (log (/ 1 v))) 6931/10000)) (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))) v))
(+ (exp (- (* -1 (log (/ 1 v))) 6931/10000)) (+ (* 1/2 (/ (* (exp (- (* -1 (log (/ 1 v))) 6931/10000)) (pow (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 2)) (pow v 2))) (/ (* (exp (- (* -1 (log (/ 1 v))) 6931/10000)) (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))) v)))
(+ (exp (- (* -1 (log (/ 1 v))) 6931/10000)) (+ (* 1/6 (/ (* (exp (- (* -1 (log (/ 1 v))) 6931/10000)) (pow (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 3)) (pow v 3))) (+ (* 1/2 (/ (* (exp (- (* -1 (log (/ 1 v))) 6931/10000)) (pow (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 2)) (pow v 2))) (/ (* (exp (- (* -1 (log (/ 1 v))) 6931/10000)) (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))) v))))
(/ 1/2 (exp (- (* -1 (log (/ 1 v))) 6931/10000)))
(+ (* -1/2 (/ (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) (* v (exp (- (* -1 (log (/ 1 v))) 6931/10000))))) (* 1/2 (/ 1 (exp (- (* -1 (log (/ 1 v))) 6931/10000)))))
(- (+ (* -1 (/ (+ (* -1/2 (/ (pow (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 2) (exp (- (* -1 (log (/ 1 v))) 6931/10000)))) (* 1/4 (/ (pow (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 2) (exp (- (* -1 (log (/ 1 v))) 6931/10000))))) (pow v 2))) (* 1/2 (/ 1 (exp (- (* -1 (log (/ 1 v))) 6931/10000))))) (* 1/2 (/ (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) (* v (exp (- (* -1 (log (/ 1 v))) 6931/10000))))))
(- (+ (* -1 (/ (+ (* -1 (* (+ (* -1/2 (/ (pow (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 2) (exp (- (* -1 (log (/ 1 v))) 6931/10000)))) (* 1/4 (/ (pow (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 2) (exp (- (* -1 (log (/ 1 v))) 6931/10000))))) (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)))) (+ (* -1/4 (/ (pow (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 3) (exp (- (* -1 (log (/ 1 v))) 6931/10000)))) (* 1/12 (/ (pow (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 3) (exp (- (* -1 (log (/ 1 v))) 6931/10000)))))) (pow v 3))) (* 1/2 (/ 1 (exp (- (* -1 (log (/ 1 v))) 6931/10000))))) (+ (* -1/2 (/ (pow (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 2) (* (pow v 2) (exp (- (* -1 (log (/ 1 v))) 6931/10000))))) (+ (* 1/4 (/ (pow (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 2) (* (pow v 2) (exp (- (* -1 (log (/ 1 v))) 6931/10000))))) (* 1/2 (/ (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) (* v (exp (- (* -1 (log (/ 1 v))) 6931/10000))))))))
(- (* -1 (log (/ 1 v))) 6931/10000)
(- (+ (* -1 (log (/ 1 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))
(* -1 (log (/ 1 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))))
(+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))
(- (+ 6931/10000 (+ (log 1/2) (+ (log (/ 1 v)) (/ (* cosTheta_O cosTheta_i) v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(+ 6931/10000 (+ (log 1/2) (+ (log (/ 1 v)) (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))
(/ (+ (* 1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v))) v)
(/ (+ (* 1/4 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (pow v 2))) (+ (* 1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v)))) v)
(/ (+ (* 1/12 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3)) (pow v 3))) (+ (* 1/4 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (pow v 2))) (+ (* 1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v))))) v)
(* 2 (/ v (exp 6931/10000)))
(* v (+ (* -2 (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) (* v (exp 6931/10000)))) (* 2 (/ 1 (exp 6931/10000)))))
(* v (- (+ (* -1 (/ (+ (* -2 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (exp 6931/10000))) (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (exp 6931/10000))) (pow v 2))) (* 2 (/ 1 (exp 6931/10000)))) (* 2 (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) (* v (exp 6931/10000))))))
(* v (- (+ (* -1 (/ (+ (* -1 (* (+ (* -2 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (exp 6931/10000))) (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (exp 6931/10000))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))))) (+ (* -1 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3) (exp 6931/10000))) (* 1/3 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3) (exp 6931/10000))))) (pow v 3))) (* 2 (/ 1 (exp 6931/10000)))) (+ (* -2 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (* (pow v 2) (exp 6931/10000)))) (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) (* v (exp 6931/10000)))) (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (* (pow v 2) (exp 6931/10000)))))))
(* v (+ (* 2 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* v (exp 6931/10000)))) (* 2 (/ 1 (exp 6931/10000)))))
(* 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))))))
(* 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)))))))
(/ 1 (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)))
(- (+ (/ 1 (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000))) (/ (* cosTheta_O cosTheta_i) (* v (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000))))) (+ (/ 1 (* v (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)))) (/ (* sinTheta_O sinTheta_i) (* v (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000))))))
(- (+ (* 1/2 (/ (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000))))) (+ (/ 1 (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000))) (+ (* 1/2 (/ 1 (* (pow v 2) (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000))))) (+ (/ (* cosTheta_O cosTheta_i) (* v (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)))) (/ (* sinTheta_O sinTheta_i) (* (pow v 2) (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)))))))) (+ (/ 1 (* v (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)))) (+ (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)))) (/ (* sinTheta_O sinTheta_i) (* v (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)))))))
(- (+ (* 1/6 (/ (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000))))) (+ (* 1/2 (/ (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000))))) (+ (/ 1 (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000))) (+ (* 1/2 (/ 1 (* (pow v 2) (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000))))) (+ (/ (* cosTheta_O cosTheta_i) (* v (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)))) (+ (/ (* cosTheta_O cosTheta_i) (* (pow v 3) (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)))) (/ (* sinTheta_O sinTheta_i) (* (pow v 2) (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)))))))))) (+ (* 1/2 (/ (- (/ (* cosTheta_O cosTheta_i) (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000))) (+ (/ 1 (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000))) (/ (* sinTheta_O sinTheta_i) (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000))))) (pow v 3))) (+ (* 1/2 (/ (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2) (* (pow v 3) (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000))))) (+ (/ 2/3 (* (pow v 3) (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)))) (+ (/ 1 (* v (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)))) (+ (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)))) (+ (/ (* sinTheta_O sinTheta_i) (* v (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)))) (/ (* sinTheta_O sinTheta_i) (* (pow v 3) (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)))))))))))
(exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000))
(+ (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) (/ (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) v))
(+ (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) (+ (* 1/2 (/ (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) (pow v 2))) (/ (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) v)))
(+ (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) (+ (* 1/6 (/ (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) (pow v 3))) (+ (* 1/2 (/ (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) (pow v 2))) (/ (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) v))))
(- (+ 1 (/ (* cosTheta_O cosTheta_i) v)) (/ (* sinTheta_O sinTheta_i) v))
(- (+ 1 (+ (* 1/2 (/ (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))) (/ (* sinTheta_O sinTheta_i) v))
(- (+ 1 (+ (* 1/6 (/ (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 3) (pow v 3))) (+ (* 1/2 (/ (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v)))) (/ (* sinTheta_O sinTheta_i) v))
6931/10000
(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))))))
(+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))
(/ v (exp 6931/10000))
(* v (+ (/ 1 (exp 6931/10000)) (+ (/ 1 (* v (exp 6931/10000))) (/ (* sinTheta_O sinTheta_i) (* v (exp 6931/10000))))))
(* v (- (+ (* -1 (/ (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (exp 6931/10000))) (* 1/2 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (exp 6931/10000)))) (pow v 2))) (/ 1 (exp 6931/10000))) (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* v (exp 6931/10000))))))
(* v (- (+ (* -1 (/ (+ (* -1/6 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (exp 6931/10000))) (+ (* 1/2 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (exp 6931/10000))) (* (+ 1 (* sinTheta_O sinTheta_i)) (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (exp 6931/10000))) (* 1/2 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (exp 6931/10000))))))) (pow v 3))) (/ 1 (exp 6931/10000))) (+ (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* v (exp 6931/10000)))) (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (exp 6931/10000)))) (* 1/2 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (exp 6931/10000))))))))
(- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)
(- (+ (log 2) (+ (* -1 (log (/ 1 v))) (/ 1 v))) 6931/10000)
(exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000))
(+ (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)) (* -1 (/ (* (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v)))
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(+ (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3)) v)) (* 1/2 (* (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)))) v)) (* (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))))) v)))
(/ 1/2 (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)))
(+ (* 1/2 (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) (* v (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000))))) (* 1/2 (/ 1 (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)))))
(+ (* -1 (/ (- (+ (* -1/2 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (* v (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000))))) (* 1/4 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (* v (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)))))) (* 1/2 (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000))))) v)) (* 1/2 (/ 1 (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)))))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ (* -1/2 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)))) (* 1/4 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000))))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v)) (+ (* -1/4 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3) (* v (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000))))) (* 1/12 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3) (* v (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000))))))) (+ (* -1/2 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)))) (* 1/4 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)))))) v)) (* 1/2 (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000))))) v)) (* 1/2 (/ 1 (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)))))
(- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)
(- (+ (log -1) (+ (* -1 (log (/ -1 v))) (* -1 (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)))) 6931/10000)
(+ (log -1) (* -1 (log (/ -1 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)))
(+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))
(+ 6931/10000 (+ (log -1/2) (+ (log (/ -1 v)) (* -1 (/ (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) v)))))
(+ 6931/10000 (+ (log -1/2) (+ (log (/ -1 v)) (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))
(* -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 (* v (- (* 2 (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) (* v (exp 6931/10000)))) (* 2 (/ 1 (exp 6931/10000))))))
(* -1 (* v (- (* -1 (/ (- (+ (* -1 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (* v (exp 6931/10000)))) (* 2 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (* v (exp 6931/10000))))) (* 2 (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) (exp 6931/10000)))) v)) (* 2 (/ 1 (exp 6931/10000))))))
(* -1 (* v (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3) (* v (exp 6931/10000)))) (+ (* 1/3 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3) (* v (exp 6931/10000)))) (/ (* (+ (* -1 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (exp 6931/10000))) (* 2 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (exp 6931/10000)))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v))) (+ (* -1 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (exp 6931/10000))) (* 2 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (exp 6931/10000))))) v)) (* 2 (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) (exp 6931/10000)))) v)) (* 2 (/ 1 (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 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))
(+ (* -1 (/ (+ (* -1 (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))) (/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))) v)) (/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))))
(+ (* -1 (/ (+ (* -1 (/ (- (* 1/2 (/ (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2) (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))) (+ (* -1 (+ (* -1 (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))) (/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))))) (* 1/2 (/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))))) v)) (+ (* -1 (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))) (/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))))) v)) (/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))))
(+ (* -1 (/ (+ (* -1 (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))) (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/6 (/ (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 3) (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))) (* 1/6 (/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))))) (+ (* -1 (- (* 1/2 (/ (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2) (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))) (+ (* -1 (+ (* -1 (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))) (/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))))) (* 1/2 (/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))))))) (* 1/2 (+ (* -1 (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))) (/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))))))) v)) (* 1/2 (/ (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2) (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))))) (+ (* -1 (+ (* -1 (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))) (/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))))) (* 1/2 (/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))))) v)) (/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))))) v)) (/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))))
(exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))
(+ (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)) (/ (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)) v))
(+ (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)) (* -1 (/ (+ (* -1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))) (* -1/2 (/ (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)) v))) v)))
(+ (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)) (* -1 (/ (+ (* -1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))) (* -1 (/ (+ (* 1/6 (/ (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)) v)) (* 1/2 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))) v))) v)))
(+ 1 (* -1 (/ (+ (* -1 (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (* -1/2 (/ (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2) v))) v)))
(+ 1 (* -1 (/ (+ (* -1 (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (* -1 (/ (+ (* 1/6 (/ (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 3) v)) (* 1/2 (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2))) v))) 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)))
(* -1 (* v (- (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* v (exp 6931/10000)))) (/ 1 (exp 6931/10000)))))
(* -1 (* v (- (* -1 (/ (- (+ (* -1/2 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* v (exp 6931/10000)))) (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* v (exp 6931/10000)))) (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) (exp 6931/10000)))) v)) (/ 1 (exp 6931/10000)))))
(* -1 (* v (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ 1 (* sinTheta_O sinTheta_i)) (+ (* -1/2 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (exp 6931/10000))) (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (exp 6931/10000)))) v)) (+ (* -1/6 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* v (exp 6931/10000)))) (* 1/2 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* v (exp 6931/10000)))))) (+ (* -1/2 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (exp 6931/10000))) (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (exp 6931/10000)))) v)) (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) (exp 6931/10000)))) v)) (/ 1 (exp 6931/10000)))))
(- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)
(- (+ (log -2) (+ (* -1 (log (/ -1 v))) (/ 1 v))) 6931/10000)
Outputs
(exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))
(exp.f32 (-.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (log.f32 v)) #s(literal 6931/10000 binary32)))
(+ (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (* -1 (/ (* cosTheta_O (* cosTheta_i (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))) v)))
(fma.f32 (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (-.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (log.f32 v)) #s(literal 6931/10000 binary32)))) v) #s(literal -1 binary32) (exp.f32 (-.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (log.f32 v)) #s(literal 6931/10000 binary32))))
(+ (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (* cosTheta_i (+ (* -1 (/ (* cosTheta_O (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))) v)) (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))) (pow v 2))))))
(fma.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 cosTheta_O cosTheta_O) cosTheta_i) (exp.f32 (-.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (log.f32 v)) #s(literal 6931/10000 binary32)))) (*.f32 v v)) #s(literal 1/2 binary32) (neg.f32 (*.f32 cosTheta_O (/.f32 (exp.f32 (-.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (log.f32 v)) #s(literal 6931/10000 binary32))) v)))) cosTheta_i (exp.f32 (-.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (log.f32 v)) #s(literal 6931/10000 binary32))))
(+ (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (* cosTheta_i (+ (* -1 (/ (* cosTheta_O (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))) v)) (* cosTheta_i (+ (* -1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))) (pow v 2))))))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 cosTheta_O cosTheta_O) (/.f32 (exp.f32 (-.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (log.f32 v)) #s(literal 6931/10000 binary32))) (*.f32 v v))) #s(literal 1/2 binary32) (*.f32 (/.f32 (*.f32 (*.f32 (pow.f32 cosTheta_O #s(literal 3 binary32)) cosTheta_i) (exp.f32 (-.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (log.f32 v)) #s(literal 6931/10000 binary32)))) (pow.f32 v #s(literal 3 binary32))) #s(literal -1/6 binary32))) cosTheta_i (neg.f32 (*.f32 cosTheta_O (/.f32 (exp.f32 (-.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (log.f32 v)) #s(literal 6931/10000 binary32))) v)))) cosTheta_i (exp.f32 (-.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (log.f32 v)) #s(literal 6931/10000 binary32))))
(/ 1/2 (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))
(/.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (log.f32 v)) #s(literal 6931/10000 binary32))))
(+ (* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) (* 1/2 (/ 1 (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))))
(*.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 1 binary32)) (exp.f32 (-.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (log.f32 v)) #s(literal 6931/10000 binary32)))))
(+ (* cosTheta_i (- (* -1 (* cosTheta_i (+ (* -1/2 (/ (pow cosTheta_O 2) (* (pow v 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) (* 1/4 (/ (pow cosTheta_O 2) (* (pow v 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))))))) (* -1/2 (/ cosTheta_O (* v (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))))) (* 1/2 (/ 1 (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))))
(fma.f32 (fma.f32 (*.f32 #s(literal -1 binary32) cosTheta_i) (*.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_O) (*.f32 v v)) (exp.f32 (-.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (log.f32 v)) #s(literal 6931/10000 binary32)))) #s(literal -1/4 binary32)) (*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 cosTheta_O v) (exp.f32 (-.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (log.f32 v)) #s(literal 6931/10000 binary32)))))) cosTheta_i (/.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (log.f32 v)) #s(literal 6931/10000 binary32)))))
(+ (* cosTheta_i (- (* cosTheta_i (- (* -1 (* cosTheta_i (+ (* -1/12 (/ (pow cosTheta_O 3) (* (pow v 3) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) (+ (* 1/4 (/ (pow cosTheta_O 3) (* (pow v 3) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) (/ (* cosTheta_O (+ (* -1/2 (/ (pow cosTheta_O 2) (* (pow v 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) (* 1/4 (/ (pow cosTheta_O 2) (* (pow v 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))))) v))))) (+ (* -1/2 (/ (pow cosTheta_O 2) (* (pow v 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) (* 1/4 (/ (pow cosTheta_O 2) (* (pow v 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))))))) (* -1/2 (/ cosTheta_O (* v (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))))) (* 1/2 (/ 1 (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))))
(fma.f32 (fma.f32 (-.f32 (neg.f32 (*.f32 (+.f32 (/.f32 (fma.f32 #s(literal -1/12 binary32) (pow.f32 cosTheta_O #s(literal 3 binary32)) (*.f32 #s(literal 1/4 binary32) (pow.f32 cosTheta_O #s(literal 3 binary32)))) (*.f32 (pow.f32 v #s(literal 3 binary32)) (exp.f32 (-.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (log.f32 v)) #s(literal 6931/10000 binary32))))) (*.f32 cosTheta_O (/.f32 (*.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_O) (*.f32 v v)) (exp.f32 (-.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (log.f32 v)) #s(literal 6931/10000 binary32)))) #s(literal -1/4 binary32)) v))) cosTheta_i)) (*.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_O) (*.f32 v v)) (exp.f32 (-.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (log.f32 v)) #s(literal 6931/10000 binary32)))) #s(literal -1/4 binary32))) cosTheta_i (*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 cosTheta_O v) (exp.f32 (-.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (log.f32 v)) #s(literal 6931/10000 binary32)))))) cosTheta_i (/.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (log.f32 v)) #s(literal 6931/10000 binary32)))))
(- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)
(-.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (log.f32 v)) #s(literal 6931/10000 binary32))
(- (+ (log v) (+ (* -1 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 6931/10000)
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(exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
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(+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* cosTheta_i (+ (* 1/4 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))))
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(* 2 (/ v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
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(* -1 (/ (* sinTheta_O sinTheta_i) v))
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(/.f32 (fma.f32 (neg.f32 sinTheta_O) sinTheta_i (*.f32 cosTheta_O cosTheta_i)) v)
(- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
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(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
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(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (+ (/ cosTheta_O v) (/ (log (/ 1/2 v)) cosTheta_i))) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(*.f32 (-.f32 (+.f32 (+.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal 6931/10000 binary32) cosTheta_i)) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (*.f32 cosTheta_i v))) cosTheta_i)
(* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))
(*.f32 (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) v) #s(literal 1/2 binary32))
(* 2 (/ v (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
(/.f32 (*.f32 #s(literal 2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))))
(/ (exp (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000)))
(exp.f32 (-.f32 (/.f32 (fma.f32 (neg.f32 sinTheta_O) sinTheta_i (*.f32 cosTheta_O cosTheta_i)) v) (+.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))))
(exp (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))
(exp.f32 (/.f32 (fma.f32 (neg.f32 sinTheta_O) sinTheta_i (*.f32 cosTheta_O cosTheta_i)) v))
(* cosTheta_i (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ cosTheta_O v)))
(*.f32 (fma.f32 (*.f32 (/.f32 sinTheta_O cosTheta_i) (/.f32 sinTheta_i v)) #s(literal -1 binary32) (/.f32 cosTheta_O v)) cosTheta_i)
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v)) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(*.f32 (-.f32 (+.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal 6931/10000 binary32) cosTheta_i)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (*.f32 cosTheta_i v))) cosTheta_i)
(* -1 (* cosTheta_i (- (* -1 (/ (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000) cosTheta_i)) (* -1 (/ cosTheta_O v)))))
(neg.f32 (*.f32 (*.f32 #s(literal -1 binary32) (-.f32 (/.f32 (-.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (log.f32 v)) #s(literal 6931/10000 binary32)) cosTheta_i) (/.f32 cosTheta_O v))) cosTheta_i))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(neg.f32 (*.f32 (fma.f32 (/.f32 (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) cosTheta_i) #s(literal -1 binary32) (neg.f32 (/.f32 cosTheta_O v))) cosTheta_i))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(neg.f32 (*.f32 (/.f32 (fma.f32 #s(literal -1 binary32) cosTheta_O (/.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)) v) cosTheta_i))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(neg.f32 (*.f32 (fma.f32 (/.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) cosTheta_i) #s(literal -1 binary32) (neg.f32 (/.f32 cosTheta_O v))) cosTheta_i))
(+ (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (* cosTheta_O (+ (* -1 (/ (* cosTheta_i (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))) v)) (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))) (pow v 2))))))
(fma.f32 (fma.f32 (/.f32 (*.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i cosTheta_i)) (exp.f32 (-.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (log.f32 v)) #s(literal 6931/10000 binary32)))) (*.f32 v v)) #s(literal 1/2 binary32) (neg.f32 (*.f32 cosTheta_i (/.f32 (exp.f32 (-.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (log.f32 v)) #s(literal 6931/10000 binary32))) v)))) cosTheta_O (exp.f32 (-.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (log.f32 v)) #s(literal 6931/10000 binary32))))
(+ (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (* cosTheta_O (+ (* -1 (/ (* cosTheta_i (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))) v)) (* cosTheta_O (+ (* -1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))) (pow v 2))))))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 cosTheta_i cosTheta_i) (/.f32 (exp.f32 (-.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (log.f32 v)) #s(literal 6931/10000 binary32))) (*.f32 v v))) #s(literal 1/2 binary32) (*.f32 (/.f32 (*.f32 (*.f32 cosTheta_O (pow.f32 cosTheta_i #s(literal 3 binary32))) (exp.f32 (-.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (log.f32 v)) #s(literal 6931/10000 binary32)))) (pow.f32 v #s(literal 3 binary32))) #s(literal -1/6 binary32))) cosTheta_O (neg.f32 (*.f32 cosTheta_i (/.f32 (exp.f32 (-.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (log.f32 v)) #s(literal 6931/10000 binary32))) v)))) cosTheta_O (exp.f32 (-.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (log.f32 v)) #s(literal 6931/10000 binary32))))
(+ (* cosTheta_O (- (* -1 (* cosTheta_O (+ (* -1/2 (/ (pow cosTheta_i 2) (* (pow v 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) (* 1/4 (/ (pow cosTheta_i 2) (* (pow v 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))))))) (* -1/2 (/ cosTheta_i (* v (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))))) (* 1/2 (/ 1 (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))))
(fma.f32 (fma.f32 (*.f32 #s(literal -1 binary32) cosTheta_O) (*.f32 (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_i) (*.f32 v v)) (exp.f32 (-.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (log.f32 v)) #s(literal 6931/10000 binary32)))) #s(literal -1/4 binary32)) (*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 cosTheta_i v) (exp.f32 (-.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (log.f32 v)) #s(literal 6931/10000 binary32)))))) cosTheta_O (/.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (log.f32 v)) #s(literal 6931/10000 binary32)))))
(+ (* cosTheta_O (- (* cosTheta_O (- (* -1 (* cosTheta_O (+ (* -1/12 (/ (pow cosTheta_i 3) (* (pow v 3) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) (+ (* 1/4 (/ (pow cosTheta_i 3) (* (pow v 3) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) (/ (* cosTheta_i (+ (* -1/2 (/ (pow cosTheta_i 2) (* (pow v 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) (* 1/4 (/ (pow cosTheta_i 2) (* (pow v 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))))) v))))) (+ (* -1/2 (/ (pow cosTheta_i 2) (* (pow v 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) (* 1/4 (/ (pow cosTheta_i 2) (* (pow v 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))))))) (* -1/2 (/ cosTheta_i (* v (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))))) (* 1/2 (/ 1 (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))))
(fma.f32 (fma.f32 (-.f32 (neg.f32 (*.f32 (+.f32 (/.f32 (fma.f32 #s(literal -1/12 binary32) (pow.f32 cosTheta_i #s(literal 3 binary32)) (*.f32 #s(literal 1/4 binary32) (pow.f32 cosTheta_i #s(literal 3 binary32)))) (*.f32 (pow.f32 v #s(literal 3 binary32)) (exp.f32 (-.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (log.f32 v)) #s(literal 6931/10000 binary32))))) (*.f32 cosTheta_i (/.f32 (*.f32 (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_i) (*.f32 v v)) (exp.f32 (-.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (log.f32 v)) #s(literal 6931/10000 binary32)))) #s(literal -1/4 binary32)) v))) cosTheta_O)) (*.f32 (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_i) (*.f32 v v)) (exp.f32 (-.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (log.f32 v)) #s(literal 6931/10000 binary32)))) #s(literal -1/4 binary32))) cosTheta_O (*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 cosTheta_i v) (exp.f32 (-.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (log.f32 v)) #s(literal 6931/10000 binary32)))))) cosTheta_O (/.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (log.f32 v)) #s(literal 6931/10000 binary32)))))
(+ (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))))
(fma.f32 (fma.f32 (/.f32 (*.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i cosTheta_i)) (exp.f32 (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) (*.f32 v v)) #s(literal 1/2 binary32) (*.f32 cosTheta_i (/.f32 (exp.f32 (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) v))) cosTheta_O (exp.f32 (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) 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))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 cosTheta_i cosTheta_i) (/.f32 (exp.f32 (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (*.f32 v v))) #s(literal 1/2 binary32) (*.f32 (/.f32 (*.f32 (*.f32 cosTheta_O (pow.f32 cosTheta_i #s(literal 3 binary32))) (exp.f32 (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) (pow.f32 v #s(literal 3 binary32))) #s(literal 1/6 binary32))) cosTheta_O (*.f32 cosTheta_i (/.f32 (exp.f32 (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) v))) cosTheta_O (exp.f32 (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
(+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* cosTheta_O (+ (* 1/4 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))))
(fma.f32 (fma.f32 (*.f32 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))) #s(literal 1/2 binary32) (*.f32 (/.f32 (*.f32 (*.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)))) (pow.f32 v #s(literal 3 binary32))) #s(literal 1/4 binary32))) cosTheta_O (*.f32 (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) v) #s(literal 1/2 binary32)))
(+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))) (* cosTheta_O (+ (* 1/12 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 4))) (* 1/4 (/ (* (pow cosTheta_i 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 3))))))))
(fma.f32 (fma.f32 (fma.f32 (*.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))) (pow.f32 v #s(literal 3 binary32)))) #s(literal 1/4 binary32) (*.f32 (/.f32 (*.f32 (*.f32 cosTheta_O (pow.f32 cosTheta_i #s(literal 3 binary32))) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) (pow.f32 v #s(literal 4 binary32))) #s(literal 1/12 binary32))) cosTheta_O (*.f32 (*.f32 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))) #s(literal 1/2 binary32))) cosTheta_O (*.f32 (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) v) #s(literal 1/2 binary32)))
(+ (* 2 (/ v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* cosTheta_O (+ (* -2 (* cosTheta_O (+ (* -1 (/ (pow cosTheta_i 2) (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* 1/2 (/ (pow cosTheta_i 2) (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))) (* -2 (/ cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))
(fma.f32 (*.f32 #s(literal -2 binary32) (fma.f32 (*.f32 (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_i) v) (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)) 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)))))) cosTheta_O (/.f32 (*.f32 #s(literal 2 binary32) v) (exp.f32 (-.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) (/ (* sinTheta_O sinTheta_i) v)))))) (* cosTheta_O (+ (* -2 (/ cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* cosTheta_O (+ (* -2 (* cosTheta_O (+ (* -1 (/ (* cosTheta_i (+ (* -1 (/ (pow cosTheta_i 2) (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* 1/2 (/ (pow cosTheta_i 2) (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) v)) (+ (* -1/2 (/ (pow cosTheta_i 3) (* (pow v 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* 1/6 (/ (pow cosTheta_i 3) (* (pow v 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))))) (* -2 (+ (* -1 (/ (pow cosTheta_i 2) (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* 1/2 (/ (pow cosTheta_i 2) (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))))))))
(fma.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (fma.f32 (fma.f32 (/.f32 (/.f32 (pow.f32 cosTheta_i #s(literal 3 binary32)) (*.f32 v v)) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) #s(literal -1/3 binary32) (neg.f32 (*.f32 cosTheta_i (/.f32 (*.f32 (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_i) v) (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)) v)))) cosTheta_O (*.f32 (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_i) v) (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)))) cosTheta_O (/.f32 (*.f32 #s(literal -2 binary32) cosTheta_i) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))) cosTheta_O (/.f32 (*.f32 #s(literal 2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))
(+ (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))))) (/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000)))))) (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))))
(fma.f32 (fma.f32 (/.f32 cosTheta_i v) (exp.f32 (-.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (+.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))) (*.f32 (*.f32 cosTheta_O (*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_i) (*.f32 v v)) (exp.f32 (-.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (+.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))))) #s(literal 1/2 binary32))) cosTheta_O (exp.f32 (-.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (+.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))))
(+ (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 3) (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))))))) (/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000)))))) (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_i) (*.f32 v v)) (exp.f32 (-.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (+.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))))) #s(literal 1/2 binary32) (*.f32 (/.f32 (/.f32 (*.f32 (*.f32 cosTheta_O (pow.f32 cosTheta_i #s(literal 3 binary32))) (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) (pow.f32 v #s(literal 3 binary32))) (exp.f32 (+.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))) #s(literal 1/6 binary32))) cosTheta_O (*.f32 (/.f32 cosTheta_i v) (exp.f32 (-.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (+.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))))) cosTheta_O (exp.f32 (-.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (+.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))))
(+ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))) (/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v))))
(fma.f32 (fma.f32 cosTheta_i (/.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) v) (*.f32 (/.f32 (*.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i cosTheta_i)) (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) (*.f32 v v)) #s(literal 1/2 binary32))) cosTheta_O (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(+ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))))) (/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v))))
(fma.f32 (fma.f32 (fma.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_i) (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) (*.f32 v v)) #s(literal 1/2 binary32) (*.f32 (/.f32 (*.f32 (*.f32 cosTheta_O (pow.f32 cosTheta_i #s(literal 3 binary32))) (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) (pow.f32 v #s(literal 3 binary32))) #s(literal 1/6 binary32))) cosTheta_O (*.f32 cosTheta_i (/.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) v))) cosTheta_O (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_O (- (+ (/ 1 (* cosTheta_O v)) (+ (/ (log v) cosTheta_O) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))) (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v))))
(*.f32 (-.f32 (+.f32 (fma.f32 (/.f32 sinTheta_O cosTheta_O) (/.f32 sinTheta_i v) (/.f32 (log.f32 v) cosTheta_O)) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_O v))) (+.f32 (/.f32 cosTheta_i v) (/.f32 #s(literal 6931/10000 binary32) cosTheta_O))) cosTheta_O)
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (+ (/ cosTheta_i v) (/ (log (/ 1/2 v)) cosTheta_O))) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(*.f32 (-.f32 (+.f32 (+.f32 (/.f32 cosTheta_i v) (/.f32 #s(literal 6931/10000 binary32) cosTheta_O)) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (*.f32 cosTheta_O v))) cosTheta_O)
(* cosTheta_O (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v)))
(*.f32 (fma.f32 (*.f32 (/.f32 sinTheta_O cosTheta_O) (/.f32 sinTheta_i v)) #s(literal -1 binary32) (/.f32 cosTheta_i v)) cosTheta_O)
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v)) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(*.f32 (-.f32 (+.f32 (/.f32 cosTheta_i v) (/.f32 #s(literal 6931/10000 binary32) cosTheta_O)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (*.f32 cosTheta_O v))) cosTheta_O)
(* -1 (* cosTheta_O (- (* -1 (/ (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000) cosTheta_O)) (* -1 (/ cosTheta_i v)))))
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(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
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(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(neg.f32 (*.f32 (/.f32 (fma.f32 #s(literal -1 binary32) cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_O)) v) cosTheta_O))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
(neg.f32 (*.f32 (fma.f32 (/.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) cosTheta_O) #s(literal -1 binary32) (neg.f32 (/.f32 cosTheta_i v))) cosTheta_O))
(exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp.f32 (-.f32 (+.f32 (log.f32 v) (/.f32 #s(literal 1 binary32) v)) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 6931/10000 binary32))))
(+ (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (/ (* sinTheta_O (* sinTheta_i (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))) v))
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(+ (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (* sinTheta_i (+ (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))) (pow v 2))) (/ (* sinTheta_O (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))) v))))
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(+ (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))) (pow v 2))))) (/ (* sinTheta_O (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))) v))))
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(/ 1/2 (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))
(/.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 (+.f32 (log.f32 v) (/.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) (* v (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))) (* 1/2 (/ 1 (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))))
(fma.f32 (/.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) (exp.f32 (-.f32 (+.f32 (log.f32 v) (/.f32 #s(literal 1 binary32) v)) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 6931/10000 binary32))))) #s(literal -1/2 binary32) (/.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 (+.f32 (log.f32 v) (/.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 2) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))) (* 1/4 (/ (pow sinTheta_O 2) (* (pow v 2) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))))))) (* 1/2 (/ sinTheta_O (* v (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))))) (* 1/2 (/ 1 (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))))
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(+ (* sinTheta_i (- (* sinTheta_i (- (* -1 (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (+ (* -1/2 (/ (pow sinTheta_O 2) (* (pow v 2) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))) (* 1/4 (/ (pow sinTheta_O 2) (* (pow v 2) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))))) v)) (+ (* -1/4 (/ (pow sinTheta_O 3) (* (pow v 3) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))) (* 1/12 (/ (pow sinTheta_O 3) (* (pow v 3) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))))))) (+ (* -1/2 (/ (pow sinTheta_O 2) (* (pow v 2) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))) (* 1/4 (/ (pow sinTheta_O 2) (* (pow v 2) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))))))) (* 1/2 (/ sinTheta_O (* v (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))))) (* 1/2 (/ 1 (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))))
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(- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))
(-.f32 (+.f32 (log.f32 v) (/.f32 #s(literal 1 binary32) v)) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 6931/10000 binary32)))
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(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))
(+ (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)))
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(+ (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))))))))
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1
#s(literal 1 binary32)
(+ 1 (* sinTheta_O sinTheta_i))
(fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
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(+ (* 2 (/ v (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (* sinTheta_O (+ (* -2 (* sinTheta_O (+ (* -1 (/ (pow sinTheta_i 2) (* v (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))))) (* 1/2 (/ (pow sinTheta_i 2) (* v (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))))))) (* 2 (/ sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))))))
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(+ (* 2 (/ v (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (* sinTheta_O (+ (* 2 (/ sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (* sinTheta_O (+ (* -2 (* sinTheta_O (+ (* -1/6 (/ (pow sinTheta_i 3) (* (pow v 2) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))))) (+ (* 1/2 (/ (pow sinTheta_i 3) (* (pow v 2) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))))) (/ (* sinTheta_i (+ (* -1 (/ (pow sinTheta_i 2) (* v (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))))) (* 1/2 (/ (pow sinTheta_i 2) (* v (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))))))) v))))) (* -2 (+ (* -1 (/ (pow sinTheta_i 2) (* v (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))))) (* 1/2 (/ (pow sinTheta_i 2) (* v (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))))))))))))
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(+ (* 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))))))))
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(+ (* 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)))))))))))))
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(+ (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (/ (* cosTheta_O cosTheta_i) v))) (* v (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))))) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (/ (* cosTheta_O cosTheta_i) v)))) (* (pow v 2) (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))))))) (/ (exp (/ (* cosTheta_O cosTheta_i) v)) (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))))
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(+ (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (/ (* cosTheta_O cosTheta_i) v))) (* v (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))))) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (/ (* cosTheta_O cosTheta_i) v)))) (* (pow v 3) (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (/ (* cosTheta_O cosTheta_i) v))) (* (pow v 2) (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))))))))) (/ (exp (/ (* cosTheta_O cosTheta_i) v)) (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))))
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(+ (exp (/ (* cosTheta_O cosTheta_i) v)) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (/ (* cosTheta_O cosTheta_i) v))) v)) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (/ (* cosTheta_O cosTheta_i) v)))) (pow v 2))))))
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(+ (exp (/ (* cosTheta_O cosTheta_i) v)) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (/ (* cosTheta_O cosTheta_i) v))) v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (/ (* cosTheta_O cosTheta_i) v)))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (/ (* cosTheta_O cosTheta_i) v))) (pow v 2))))))))
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(+ (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))))))
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(+ (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))))))))
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(+ (* sinTheta_O (- (* -1 (* 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))))))))) (* -1 (/ sinTheta_i (exp (- 6931/10000 (/ 1 v))))))) (/ v (exp (- 6931/10000 (/ 1 v)))))
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(+ (* sinTheta_O (- (* sinTheta_O (- (* -1 (* 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))))) (+ (* -1 (/ (pow sinTheta_i 2) (* v (exp (- 6931/10000 (/ 1 v)))))) (* 1/2 (/ (pow sinTheta_i 2) (* v (exp (- 6931/10000 (/ 1 v))))))))) (* -1 (/ sinTheta_i (exp (- 6931/10000 (/ 1 v))))))) (/ v (exp (- 6931/10000 (/ 1 v)))))
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(* sinTheta_O (- (+ (/ 1 (* sinTheta_O v)) (+ (/ sinTheta_i v) (/ (log v) sinTheta_O))) (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)))))
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(* sinTheta_O (+ sinTheta_i (/ 1 sinTheta_O)))
(*.f32 (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) sinTheta_i) sinTheta_O)
(* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ (log (/ 1/2 v)) sinTheta_O) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
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(* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (log (/ 1/2 v)) sinTheta_O)) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
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(* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))
(*.f32 (/.f32 (fma.f32 #s(literal -1 binary32) sinTheta_i (/.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_O)) v) sinTheta_O)
(* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
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(* sinTheta_O (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v)))
(*.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) sinTheta_i) v) sinTheta_O)
(* sinTheta_O (- (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
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(* -1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* -1 (/ (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))) sinTheta_O)))))
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(* -1 (* sinTheta_O (- (* -1 sinTheta_i) (/ 1 sinTheta_O))))
(*.f32 (neg.f32 sinTheta_O) (-.f32 (neg.f32 sinTheta_i) (/.f32 #s(literal 1 binary32) sinTheta_O)))
(* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
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(* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)) sinTheta_O)) (* -1 (/ 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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(* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
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(/ 1 (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)))
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6931/10000
#s(literal 6931/10000 binary32)
(exp 6931/10000)
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(/ v (exp 6931/10000))
(/.f32 v (exp.f32 #s(literal 6931/10000 binary32)))
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(+ 1 (* -1 (/ (+ (* -1 (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (* -1 (/ (+ (* 1/6 (/ (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 3) v)) (* 1/2 (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2))) v))) v)))
(fma.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 (pow.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) #s(literal 3 binary32)) v) #s(literal 1/6 binary32) (*.f32 (pow.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) #s(literal 2 binary32)) #s(literal 1/2 binary32))) v) #s(literal -1 binary32) (neg.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)))) v) #s(literal -1 binary32) #s(literal 1 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)))
(fma.f32 (/.f32 (fma.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 2 binary32)) v)) #s(literal -1/2 binary32) (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) v) #s(literal -1 binary32) (exp.f32 #s(literal 6931/10000 binary32)))
(+ (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)))
(fma.f32 (/.f32 (fma.f32 (exp.f32 #s(literal 6931/10000 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 (/.f32 (fma.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 3 binary32)) v)) #s(literal -1/6 binary32) (*.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)) (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 2 binary32)))) v))) v) #s(literal -1 binary32) (exp.f32 #s(literal 6931/10000 binary32)))
(* -1 (* v (- (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* v (exp 6931/10000)))) (/ 1 (exp 6931/10000)))))
(neg.f32 (*.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) v))) (exp.f32 #s(literal -6931/10000 binary32))) v))
(* -1 (* v (- (* -1 (/ (- (+ (* -1/2 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* v (exp 6931/10000)))) (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* v (exp 6931/10000)))) (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) (exp 6931/10000)))) v)) (/ 1 (exp 6931/10000)))))
(neg.f32 (*.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 2 binary32)) v) (exp.f32 #s(literal 6931/10000 binary32)))) (neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (exp.f32 #s(literal 6931/10000 binary32))))) v)) (exp.f32 #s(literal -6931/10000 binary32))) v))
(* -1 (* v (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ 1 (* sinTheta_O sinTheta_i)) (+ (* -1/2 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (exp 6931/10000))) (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (exp 6931/10000)))) v)) (+ (* -1/6 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* v (exp 6931/10000)))) (* 1/2 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* v (exp 6931/10000)))))) (+ (* -1/2 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (exp 6931/10000))) (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (exp 6931/10000)))) v)) (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) (exp 6931/10000)))) v)) (/ 1 (exp 6931/10000)))))
(neg.f32 (*.f32 (-.f32 (neg.f32 (/.f32 (*.f32 #s(literal -1 binary32) (-.f32 (/.f32 (fma.f32 (/.f32 (*.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 2 binary32))) (exp.f32 #s(literal 6931/10000 binary32))) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) #s(literal -1 binary32) (fma.f32 (/.f32 (/.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 3 binary32)) v) (exp.f32 #s(literal 6931/10000 binary32))) #s(literal 1/3 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 2 binary32))) (exp.f32 #s(literal 6931/10000 binary32))))) v) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (exp.f32 #s(literal 6931/10000 binary32))))) v)) (exp.f32 #s(literal -6931/10000 binary32))) v))
(- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)
(-.f32 (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal -1 binary32) (log.f32 #s(literal -2 binary32))) #s(literal 6931/10000 binary32))
(- (+ (log -2) (+ (* -1 (log (/ -1 v))) (/ 1 v))) 6931/10000)
(-.f32 (+.f32 (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) v)) (log.f32 #s(literal -2 binary32))) #s(literal 6931/10000 binary32))

rewrite277.0ms (2.4%)

Memory
-4.2MiB live, 234.6MiB allocated; 104ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
073418
0106377
1512371
23765370
08108370
Stop Event
iter limit
node limit
iter limit
Counts
25 → 355
Calls
Call 1
Inputs
(exp.f32 (-.f32 (log.f32 v) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))))
(/.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 (log.f32 v) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)))))
(-.f32 (log.f32 v) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)))
(log.f32 v)
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)) v))
(/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)) v)
(*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32))
(exp.f32 #s(literal 6931/10000 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (neg.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)))))
#s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (neg.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))))
#s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (neg.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)))
(/.f32 #s(literal 1 binary32) #s(approx (/ 1 (* (exp (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v))) (/ 1/2 v))) (*.f32 #s(literal 2 binary32) (/.f32 v (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)))))))
#s(approx (/ 1 (* (exp (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v))) (/ 1/2 v))) (*.f32 #s(literal 2 binary32) (/.f32 v (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))))))
(*.f32 #s(literal 2 binary32) (/.f32 v (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)))))
(/.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v))))))
(exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v)))))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v))
(/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)
(+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))
(/.f32 v (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))))
(-.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v))))
Outputs
(*.f32 (exp.f32 (-.f32 (log.f32 v) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
(/.f32 (exp.f32 (/.f32 (pow.f32 (log.f32 v) #s(literal 2 binary32)) (+.f32 (+.f32 (log.f32 v) #s(literal 6931/10000 binary32)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))) (exp.f32 (/.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 2 binary32)) (+.f32 (+.f32 (log.f32 v) #s(literal 6931/10000 binary32)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))))
(/.f32 (exp.f32 (/.f32 (pow.f32 (log.f32 v) #s(literal 3 binary32)) (fma.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) (+.f32 (+.f32 (log.f32 v) #s(literal 6931/10000 binary32)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) (pow.f32 (log.f32 v) #s(literal 2 binary32))))) (exp.f32 (/.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 3 binary32)) (fma.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) (+.f32 (+.f32 (log.f32 v) #s(literal 6931/10000 binary32)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) (pow.f32 (log.f32 v) #s(literal 2 binary32))))))
(/.f32 (/.f32 v (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))
(/.f32 (+.f32 (pow.f32 (cosh.f32 (-.f32 (-.f32 (log.f32 v) #s(literal 6931/10000 binary32)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) #s(literal 3 binary32)) (pow.f32 (sinh.f32 (-.f32 (-.f32 (log.f32 v) #s(literal 6931/10000 binary32)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) #s(literal 3 binary32))) (+.f32 (pow.f32 (cosh.f32 (-.f32 (-.f32 (log.f32 v) #s(literal 6931/10000 binary32)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) #s(literal 2 binary32)) (-.f32 (pow.f32 (sinh.f32 (-.f32 (-.f32 (log.f32 v) #s(literal 6931/10000 binary32)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) #s(literal 2 binary32)) (*.f32 (cosh.f32 (-.f32 (-.f32 (log.f32 v) #s(literal 6931/10000 binary32)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (sinh.f32 (-.f32 (-.f32 (log.f32 v) #s(literal 6931/10000 binary32)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))))))
(/.f32 (/.f32 v (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (exp.f32 #s(literal 6931/10000 binary32)))
(/.f32 (neg.f32 v) (neg.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 v (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))))))
(/.f32 v (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))))
(+.f32 (sinh.f32 (-.f32 (-.f32 (log.f32 v) #s(literal 6931/10000 binary32)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (cosh.f32 (-.f32 (-.f32 (log.f32 v) #s(literal 6931/10000 binary32)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))))
(+.f32 (cosh.f32 (-.f32 (-.f32 (log.f32 v) #s(literal 6931/10000 binary32)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (sinh.f32 (-.f32 (-.f32 (log.f32 v) #s(literal 6931/10000 binary32)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))))
(exp.f32 (-.f32 (-.f32 (log.f32 v) #s(literal 6931/10000 binary32)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))
(*.f32 (exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (exp.f32 #s(literal 6931/10000 binary32)))
(*.f32 (exp.f32 (/.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 3 binary32)) (fma.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 2 binary32))))) (exp.f32 (/.f32 (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 3 binary32)) (fma.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 2 binary32))))))
(*.f32 (*.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 #s(literal 6931/10000 binary32)))
(*.f32 (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)) v) (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))
(*.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)) v))
(*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (/.f32 #s(literal 1/2 binary32) v))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))))
(*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) (/.f32 #s(literal 1/2 binary32) v)))
(/.f32 (exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
(/.f32 (exp.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) (log.f32 #s(literal 1/2 binary32)))) v)
(/.f32 (exp.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 0 binary32))) (*.f32 #s(literal 2 binary32) v))
(/.f32 (exp.f32 (/.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 2 binary32)) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))) (exp.f32 (/.f32 (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))))
(/.f32 (*.f32 #s(literal -1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))) (neg.f32 v))
(/.f32 (*.f32 #s(literal -1 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))) (*.f32 #s(literal -2 binary32) v))
(/.f32 (*.f32 #s(literal 1 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))) (*.f32 #s(literal 2 binary32) v))
(/.f32 (*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) #s(literal -1/2 binary32)) (neg.f32 v))
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(/.f32 (fma.f32 #s(literal -1 binary32) v (*.f32 (neg.f32 v) (*.f32 sinTheta_O sinTheta_i))) (*.f32 (neg.f32 v) v))
(/.f32 (fma.f32 #s(literal 1 binary32) (neg.f32 v) (*.f32 v (*.f32 (neg.f32 sinTheta_i) sinTheta_O))) (*.f32 v (neg.f32 v)))
(/.f32 (fma.f32 #s(literal 1 binary32) v (*.f32 (*.f32 sinTheta_O sinTheta_i) v)) (*.f32 v v))
(/.f32 (fma.f32 (*.f32 (neg.f32 sinTheta_i) sinTheta_O) (neg.f32 v) (*.f32 (neg.f32 v) #s(literal -1 binary32))) (*.f32 v v))
(/.f32 (fma.f32 (*.f32 (neg.f32 sinTheta_i) sinTheta_O) v (*.f32 (neg.f32 v) #s(literal 1 binary32))) (*.f32 (neg.f32 v) v))
(/.f32 (fma.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v) (*.f32 v #s(literal -1 binary32))) (*.f32 v (neg.f32 v)))
(/.f32 (fma.f32 (*.f32 sinTheta_O sinTheta_i) v (*.f32 v #s(literal 1 binary32))) (*.f32 v v))
(/.f32 (-.f32 (pow.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 (-.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32)) v))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 2 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))
(/.f32 (+.f32 (pow.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 3 binary32)) #s(literal 1 binary32)) (*.f32 (-.f32 (+.f32 (pow.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v))
(/.f32 (+.f32 (pow.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 3 binary32)) #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 sinTheta_O sinTheta_i) (-.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32)) #s(literal 1 binary32)) v))
(/.f32 (fma.f32 (neg.f32 sinTheta_i) sinTheta_O #s(literal -1 binary32)) (neg.f32 v))
(/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)
(-.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 (neg.f32 sinTheta_i) sinTheta_O) v))
(-.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v)))
(fma.f32 (pow.f32 v #s(literal -1/2 binary32)) (pow.f32 v #s(literal -1/2 binary32)) (*.f32 (/.f32 sinTheta_O v) sinTheta_i))
(fma.f32 (/.f32 sinTheta_O v) sinTheta_i (/.f32 #s(literal 1 binary32) v))
(fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))
(fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) v))
(+.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 (/.f32 sinTheta_O v) sinTheta_i))
(+.f32 (*.f32 (/.f32 sinTheta_O v) sinTheta_i) (/.f32 #s(literal 1 binary32) v))
(neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v)))
(/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)))
(/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (*.f32 (/.f32 sinTheta_O v) sinTheta_i))) (exp.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))) (exp.f32 (/.f32 (pow.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 2 binary32)) (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))))
(/.f32 (exp.f32 (/.f32 #s(literal 332956652491/1000000000000 binary32) (fma.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) #s(literal 48038761/100000000 binary32)))) (exp.f32 (/.f32 (pow.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 3 binary32)) (fma.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) #s(literal 48038761/100000000 binary32)))))
(/.f32 (+.f32 (pow.f32 (cosh.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) #s(literal 3 binary32)) (pow.f32 (sinh.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) #s(literal 3 binary32))) (+.f32 (pow.f32 (cosh.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) #s(literal 2 binary32)) (-.f32 (pow.f32 (sinh.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) #s(literal 2 binary32)) (*.f32 (cosh.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (sinh.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))))
(/.f32 (neg.f32 (exp.f32 #s(literal 6931/10000 binary32))) (neg.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
(/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
(/.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))
(+.f32 (/.f32 (cosh.f32 #s(literal -6931/10000 binary32)) (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (/.f32 (sinh.f32 #s(literal 6931/10000 binary32)) (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
(+.f32 (sinh.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (cosh.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
(+.f32 (cosh.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (sinh.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #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 (neg.f32 (-.f32 #s(literal 48038761/100000000 binary32) (pow.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 2 binary32)))) (neg.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))))
(/.f32 (neg.f32 (-.f32 #s(literal 332956652491/1000000000000 binary32) (pow.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) #s(literal 48038761/100000000 binary32))))
(/.f32 (-.f32 #s(literal 48038761/100000000 binary32) (pow.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 2 binary32))) (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))
(/.f32 (-.f32 #s(literal 332956652491/1000000000000 binary32) (pow.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 3 binary32))) (fma.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) #s(literal 48038761/100000000 binary32)))
(-.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (*.f32 (/.f32 sinTheta_O v) sinTheta_i))
(-.f32 (-.f32 #s(literal 6931/10000 binary32) (*.f32 (/.f32 sinTheta_O v) sinTheta_i)) (/.f32 #s(literal 1 binary32) v))
(-.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) (/.f32 (pow.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 2 binary32)) (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))))
(-.f32 (/.f32 #s(literal 332956652491/1000000000000 binary32) (fma.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) #s(literal 48038761/100000000 binary32))) (/.f32 (pow.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 3 binary32)) (fma.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) #s(literal 48038761/100000000 binary32))))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))
(*.f32 (/.f32 v (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
(/.f32 (neg.f32 (neg.f32 v)) (neg.f32 (neg.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))))
(/.f32 (neg.f32 v) (neg.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))
(/.f32 v (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
(exp.f32 (-.f32 (log.f32 v) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
(neg.f32 (/.f32 (neg.f32 v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))
(neg.f32 (/.f32 v (neg.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))))
(/.f32 (-.f32 (pow.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)) #s(literal 2 binary32)) (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))) (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)) (log.f32 (*.f32 #s(literal 2 binary32) v))))
(/.f32 (+.f32 (pow.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 3 binary32))) (+.f32 (pow.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)) #s(literal 2 binary32)) (-.f32 (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)) (log.f32 (*.f32 #s(literal 2 binary32) v))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 v #s(literal -2 binary32)) (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v))) #s(literal 2 binary32)))) (neg.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)) (log.f32 (*.f32 #s(literal 2 binary32) v)))))
(/.f32 (neg.f32 (-.f32 (pow.f32 v #s(literal -3 binary32)) (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v))) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v))) (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)) (log.f32 (*.f32 #s(literal 2 binary32) v))) (pow.f32 v #s(literal -2 binary32)))))
(/.f32 (-.f32 (*.f32 #s(literal -1 binary32) (+.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 6931/10000 binary32))) (*.f32 (neg.f32 v) (-.f32 #s(literal 48038761/100000000 binary32) (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))))) (*.f32 (neg.f32 v) (+.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 6931/10000 binary32))))
(/.f32 (-.f32 (*.f32 #s(literal -1 binary32) (fma.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) (+.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 6931/10000 binary32)) #s(literal 48038761/100000000 binary32))) (*.f32 (neg.f32 v) (-.f32 #s(literal 332956652491/1000000000000 binary32) (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 3 binary32))))) (*.f32 (neg.f32 v) (fma.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) (+.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 6931/10000 binary32)) #s(literal 48038761/100000000 binary32))))
(/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 6931/10000 binary32))) (*.f32 v (-.f32 #s(literal 48038761/100000000 binary32) (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))))) (*.f32 v (+.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 6931/10000 binary32))))
(/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (fma.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) (+.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 6931/10000 binary32)) #s(literal 48038761/100000000 binary32))) (*.f32 v (-.f32 #s(literal 332956652491/1000000000000 binary32) (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 3 binary32))))) (*.f32 v (fma.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) (+.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 6931/10000 binary32)) #s(literal 48038761/100000000 binary32))))
(/.f32 (-.f32 (pow.f32 v #s(literal -2 binary32)) (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v))) #s(literal 2 binary32))) (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)) (log.f32 (*.f32 #s(literal 2 binary32) v))))
(/.f32 (-.f32 (pow.f32 v #s(literal -3 binary32)) (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v))) #s(literal 3 binary32))) (fma.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v))) (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)) (log.f32 (*.f32 #s(literal 2 binary32) v))) (pow.f32 v #s(literal -2 binary32))))
(-.f32 (/.f32 (pow.f32 v #s(literal -2 binary32)) (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)) (log.f32 (*.f32 #s(literal 2 binary32) v)))) (/.f32 (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v))) #s(literal 2 binary32)) (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)) (log.f32 (*.f32 #s(literal 2 binary32) v)))))
(-.f32 (/.f32 (pow.f32 v #s(literal -3 binary32)) (fma.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v))) (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)) (log.f32 (*.f32 #s(literal 2 binary32) v))) (pow.f32 v #s(literal -2 binary32)))) (/.f32 (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v))) #s(literal 3 binary32)) (fma.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v))) (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)) (log.f32 (*.f32 #s(literal 2 binary32) v))) (pow.f32 v #s(literal -2 binary32)))))
(-.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v))))
(+.f32 (+.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)) (log.f32 #s(literal 2 binary32))) (log.f32 v))
(+.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)) (log.f32 (*.f32 #s(literal 2 binary32) v)))
(+.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))

eval134.0ms (1.2%)

Memory
10.6MiB live, 112.9MiB allocated; 11ms collecting garbage
Compiler

Compiled 34 449 to 3 974 computations (88.5% saved)

prune26.0ms (0.2%)

Memory
9.6MiB live, 54.4MiB allocated; 3ms collecting garbage
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New65711668
Fresh347
Picked505
Done101
Total66615681
Accuracy
99.9%
Counts
681 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
88.9%
(/.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)) (*.f32 (exp.f32 (+.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)) (log.f32 #s(literal 2 binary32)))) v))
88.5%
(/.f32 (exp.f32 #s(approx (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 v (+.f32 (log.f32 #s(literal 1/2 binary32)) (neg.f32 (log.f32 v))))) (*.f32 sinTheta_O sinTheta_i)) v))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
99.8%
(/.f32 #s(approx (exp (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v)) (+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (neg.f32 sinTheta_O) sinTheta_i (*.f32 cosTheta_O cosTheta_i)) v))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v))))))
99.8%
(/.f32 #s(literal 1 binary32) #s(approx (/ 1 (* (exp (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v))) (/ 1/2 v))) (/.f32 (*.f32 #s(literal 2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))))
99.8%
(/.f32 #s(literal 1 binary32) #s(approx (/ 1 (* (exp (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v))) (/ 1/2 v))) (*.f32 (/.f32 (*.f32 #s(literal 2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))
52.1%
(/.f32 #s(literal 1 binary32) #s(approx (/ 1 (* (exp (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v))) (/ 1/2 v))) (*.f32 #s(literal 2 binary32) (/.f32 v (/.f32 (exp.f32 (/.f32 #s(literal 332956652491/1000000000000 binary32) (fma.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) #s(literal 48038761/100000000 binary32)))) (exp.f32 (/.f32 (pow.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 3 binary32)) (fma.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) #s(literal 48038761/100000000 binary32)))))))))
99.8%
(/.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 (log.f32 v) #s(approx (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))))
52.1%
(*.f32 (pow.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))) (/.f32 (pow.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)) #s(literal 2 binary32)) (fma.f32 (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))) (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (pow.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)) #s(literal 2 binary32))))) (exp.f32 (/.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32)) (fma.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 2 binary32))))))
99.8%
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (-.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v))))
98.1%
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v)))))
98.1%
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (neg.f32 (/.f32 #s(approx (+ 1 (* sinTheta_O sinTheta_i)) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_i) sinTheta_O) sinTheta_i)) v)))))
98.1%
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (neg.f32 (/.f32 #s(approx (+ 1 (* sinTheta_O sinTheta_i)) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) sinTheta_i) sinTheta_O)) v)))))
98.1%
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (neg.f32 (/.f32 #s(approx (+ 1 (* sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)))))
98.1%
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (neg.f32 #s(approx (/ (+ 1 (* sinTheta_O sinTheta_i)) v) (*.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_i) sinTheta_O) v) sinTheta_i))))))
99.8%
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))
Compiler

Compiled 1 460 to 968 computations (33.7% saved)

simplify166.0ms (1.4%)

Memory
10.3MiB live, 155.5MiB allocated; 13ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (neg.f32 sinTheta_O) sinTheta_i (*.f32 cosTheta_O cosTheta_i)) v))
cost-diff0
#s(approx (exp (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v)) (+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (neg.f32 sinTheta_O) sinTheta_i (*.f32 cosTheta_O cosTheta_i)) v)))
cost-diff0
(/.f32 #s(approx (exp (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v)) (+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (neg.f32 sinTheta_O) sinTheta_i (*.f32 cosTheta_O cosTheta_i)) v))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v))))))
cost-diff1
(exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v)))))
cost-diff0
(*.f32 #s(literal 2 binary32) v)
cost-diff0
(/.f32 (*.f32 #s(literal 2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
cost-diff0
#s(approx (/ 1 (* (exp (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v))) (/ 1/2 v))) (/.f32 (*.f32 #s(literal 2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))
cost-diff0
(/.f32 #s(literal 1 binary32) #s(approx (/ 1 (* (exp (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v))) (/ 1/2 v))) (/.f32 (*.f32 #s(literal 2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))))
cost-diff0
#s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (neg.f32 (/.f32 #s(approx (+ 1 (* sinTheta_O sinTheta_i)) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) sinTheta_i) sinTheta_O)) v)))
cost-diff0
#s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (neg.f32 (/.f32 #s(approx (+ 1 (* sinTheta_O sinTheta_i)) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) sinTheta_i) sinTheta_O)) v))))
cost-diff0
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (neg.f32 (/.f32 #s(approx (+ 1 (* sinTheta_O sinTheta_i)) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) sinTheta_i) sinTheta_O)) v)))))
cost-diff3
(*.f32 (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) sinTheta_i) sinTheta_O)
cost-diff0
(neg.f32 (/.f32 #s(approx (+ 1 (* sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v))
cost-diff0
#s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (neg.f32 (/.f32 #s(approx (+ 1 (* sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)))
cost-diff0
#s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (neg.f32 (/.f32 #s(approx (+ 1 (* sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v))))
cost-diff0
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (neg.f32 (/.f32 #s(approx (+ 1 (* sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)))))
cost-diff0
(log.f32 v)
cost-diff0
(-.f32 (log.f32 v) #s(approx (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
cost-diff0
(/.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 (log.f32 v) #s(approx (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))))
cost-diff1
(exp.f32 (-.f32 (log.f32 v) #s(approx (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
083732
0115685
1225681
2440659
31248659
46069659
08776659
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 (log.f32 v) #s(approx (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000) (-.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 (log.f32 v) #s(approx (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))
(-.f32 (log.f32 v) #s(approx (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
(log.f32 v)
v
#s(approx (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000) (-.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
#s(literal 1 binary32)
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (neg.f32 (/.f32 #s(approx (+ 1 (* sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)))))
#s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (neg.f32 (/.f32 #s(approx (+ 1 (* sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v))))
#s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (neg.f32 (/.f32 #s(approx (+ 1 (* sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)))
(neg.f32 (/.f32 #s(approx (+ 1 (* sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v))
(/.f32 #s(approx (+ 1 (* sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)
#s(approx (+ 1 (* sinTheta_O sinTheta_i)) #s(literal 1 binary32))
#s(literal 1 binary32)
v
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (neg.f32 (/.f32 #s(approx (+ 1 (* sinTheta_O sinTheta_i)) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) sinTheta_i) sinTheta_O)) v)))))
#s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (neg.f32 (/.f32 #s(approx (+ 1 (* sinTheta_O sinTheta_i)) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) sinTheta_i) sinTheta_O)) v))))
#s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (neg.f32 (/.f32 #s(approx (+ 1 (* sinTheta_O sinTheta_i)) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) sinTheta_i) sinTheta_O)) v)))
(neg.f32 (/.f32 #s(approx (+ 1 (* sinTheta_O sinTheta_i)) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) sinTheta_i) sinTheta_O)) v))
(/.f32 #s(approx (+ 1 (* sinTheta_O sinTheta_i)) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) sinTheta_i) sinTheta_O)) v)
#s(approx (+ 1 (* sinTheta_O sinTheta_i)) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) sinTheta_i) sinTheta_O))
(*.f32 (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) sinTheta_i) sinTheta_O)
(+.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) sinTheta_i)
(/.f32 #s(literal 1 binary32) sinTheta_O)
#s(literal 1 binary32)
sinTheta_O
sinTheta_i
v
(/.f32 #s(literal 1 binary32) #s(approx (/ 1 (* (exp (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v))) (/ 1/2 v))) (/.f32 (*.f32 #s(literal 2 binary32) 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)
#s(approx (/ 1 (* (exp (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v))) (/ 1/2 v))) (/.f32 (*.f32 #s(literal 2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))
(/.f32 (*.f32 #s(literal 2 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 2 binary32) v)
#s(literal 2 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)) 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
(/.f32 #s(approx (exp (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v)) (+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (neg.f32 sinTheta_O) sinTheta_i (*.f32 cosTheta_O cosTheta_i)) v))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v))))))
#s(approx (exp (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v)) (+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (neg.f32 sinTheta_O) sinTheta_i (*.f32 cosTheta_O cosTheta_i)) v)))
(+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (neg.f32 sinTheta_O) sinTheta_i (*.f32 cosTheta_O cosTheta_i)) v))
#s(literal 1 binary32)
(/.f32 (fma.f32 (neg.f32 sinTheta_O) sinTheta_i (*.f32 cosTheta_O cosTheta_i)) v)
(fma.f32 (neg.f32 sinTheta_O) sinTheta_i (*.f32 cosTheta_O cosTheta_i))
(neg.f32 sinTheta_O)
sinTheta_O
sinTheta_i
(*.f32 cosTheta_O cosTheta_i)
cosTheta_O
cosTheta_i
v
(exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v)))))
(-.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v))))
(/.f32 #s(literal 1 binary32) v)
(-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v)))
#s(literal 6931/10000 binary32)
(log.f32 (*.f32 #s(literal 2 binary32) v))
(*.f32 #s(literal 2 binary32) v)
#s(literal 2 binary32)
Outputs
(/.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 (log.f32 v) #s(approx (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))))
(*.f32 (exp.f32 #s(approx (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) (/.f32 #s(literal 1/2 binary32) v))
#s(literal 1/2 binary32)
(exp.f32 (-.f32 (log.f32 v) #s(approx (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))
(/.f32 v (exp.f32 #s(approx (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))
(-.f32 (log.f32 v) #s(approx (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
(log.f32 v)
v
#s(approx (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000) (-.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
#s(literal 1 binary32)
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (neg.f32 (/.f32 #s(approx (+ 1 (* sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)))))
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (/.f32 #s(approx (+ 1 (* sinTheta_O sinTheta_i)) #s(literal 1 binary32)) (neg.f32 v)))))
#s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (neg.f32 (/.f32 #s(approx (+ 1 (* sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v))))
#s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (/.f32 #s(approx (+ 1 (* sinTheta_O sinTheta_i)) #s(literal 1 binary32)) (neg.f32 v))))
#s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (neg.f32 (/.f32 #s(approx (+ 1 (* sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)))
#s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (/.f32 #s(approx (+ 1 (* sinTheta_O sinTheta_i)) #s(literal 1 binary32)) (neg.f32 v)))
(neg.f32 (/.f32 #s(approx (+ 1 (* sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v))
(/.f32 #s(approx (+ 1 (* sinTheta_O sinTheta_i)) #s(literal 1 binary32)) (neg.f32 v))
(/.f32 #s(approx (+ 1 (* sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)
#s(approx (+ 1 (* sinTheta_O sinTheta_i)) #s(literal 1 binary32))
#s(literal 1 binary32)
v
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (neg.f32 (/.f32 #s(approx (+ 1 (* sinTheta_O sinTheta_i)) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) sinTheta_i) sinTheta_O)) v)))))
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (/.f32 #s(approx (+ 1 (* sinTheta_O sinTheta_i)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (neg.f32 v)))))
#s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (neg.f32 (/.f32 #s(approx (+ 1 (* sinTheta_O sinTheta_i)) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) sinTheta_i) sinTheta_O)) v))))
#s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (/.f32 #s(approx (+ 1 (* sinTheta_O sinTheta_i)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (neg.f32 v))))
#s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (neg.f32 (/.f32 #s(approx (+ 1 (* sinTheta_O sinTheta_i)) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) sinTheta_i) sinTheta_O)) v)))
#s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (/.f32 #s(approx (+ 1 (* sinTheta_O sinTheta_i)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (neg.f32 v)))
(neg.f32 (/.f32 #s(approx (+ 1 (* sinTheta_O sinTheta_i)) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) sinTheta_i) sinTheta_O)) v))
(/.f32 #s(approx (+ 1 (* sinTheta_O sinTheta_i)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (neg.f32 v))
(/.f32 #s(approx (+ 1 (* sinTheta_O sinTheta_i)) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) sinTheta_i) sinTheta_O)) v)
(/.f32 #s(approx (+ 1 (* sinTheta_O sinTheta_i)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)
#s(approx (+ 1 (* sinTheta_O sinTheta_i)) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) sinTheta_i) sinTheta_O))
#s(approx (+ 1 (* sinTheta_O sinTheta_i)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))
(*.f32 (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) sinTheta_i) sinTheta_O)
(fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))
(+.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) sinTheta_i)
(/.f32 #s(literal 1 binary32) sinTheta_O)
#s(literal 1 binary32)
sinTheta_O
sinTheta_i
v
(/.f32 #s(literal 1 binary32) #s(approx (/ 1 (* (exp (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v))) (/ 1/2 v))) (/.f32 (*.f32 #s(literal 2 binary32) 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)
#s(approx (/ 1 (* (exp (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v))) (/ 1/2 v))) (/.f32 (*.f32 #s(literal 2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))
(/.f32 (*.f32 #s(literal 2 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 2 binary32) v)
#s(literal 2 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)) 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
(/.f32 #s(approx (exp (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v)) (+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (neg.f32 sinTheta_O) sinTheta_i (*.f32 cosTheta_O cosTheta_i)) v))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v))))))
(/.f32 (/.f32 #s(approx (exp (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v)) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (neg.f32 cosTheta_i) cosTheta_O (*.f32 sinTheta_O sinTheta_i)) v))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) (*.f32 #s(literal 2 binary32) v))
#s(approx (exp (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v)) (+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (neg.f32 sinTheta_O) sinTheta_i (*.f32 cosTheta_O cosTheta_i)) v)))
#s(approx (exp (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v)) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (neg.f32 cosTheta_i) cosTheta_O (*.f32 sinTheta_O sinTheta_i)) v)))
(+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (neg.f32 sinTheta_O) sinTheta_i (*.f32 cosTheta_O cosTheta_i)) v))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (neg.f32 cosTheta_i) cosTheta_O (*.f32 sinTheta_O sinTheta_i)) v))
#s(literal 1 binary32)
(/.f32 (fma.f32 (neg.f32 sinTheta_O) sinTheta_i (*.f32 cosTheta_O cosTheta_i)) v)
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)
(fma.f32 (neg.f32 sinTheta_O) sinTheta_i (*.f32 cosTheta_O cosTheta_i))
(-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))
(neg.f32 sinTheta_O)
sinTheta_O
sinTheta_i
(*.f32 cosTheta_O cosTheta_i)
cosTheta_O
cosTheta_i
v
(exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v)))))
(*.f32 (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))) (*.f32 #s(literal 2 binary32) v))
(-.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v))))
(+.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)) (log.f32 (*.f32 #s(literal 2 binary32) v)))
(/.f32 #s(literal 1 binary32) v)
(-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v)))
#s(literal 6931/10000 binary32)
(log.f32 (*.f32 #s(literal 2 binary32) v))
(*.f32 #s(literal 2 binary32) v)
#s(literal 2 binary32)

localize270.0ms (2.4%)

Memory
-20.3MiB live, 215.2MiB allocated; 21ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.06640625
(-.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v))))
accuracy0.07334865357496846
(exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v)))))
accuracy0.2749863654405956
(/.f32 (fma.f32 (neg.f32 sinTheta_O) sinTheta_i (*.f32 cosTheta_O cosTheta_i)) v)
accuracy0.335473869836251
#s(approx (exp (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v)) (+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (neg.f32 sinTheta_O) sinTheta_i (*.f32 cosTheta_O cosTheta_i)) v)))
accuracy0.00390625
(/.f32 (*.f32 #s(literal 2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
accuracy0.01171875
(/.f32 #s(literal 1 binary32) #s(approx (/ 1 (* (exp (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v))) (/ 1/2 v))) (/.f32 (*.f32 #s(literal 2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))))
accuracy0.0390625
(-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))
accuracy0.06918210203969388
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
accuracy0.00390625
(+.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) sinTheta_i)
accuracy0.02734375
(*.f32 (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) sinTheta_i) sinTheta_O)
accuracy0.07204350707537752
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (neg.f32 (/.f32 #s(approx (+ 1 (* sinTheta_O sinTheta_i)) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) sinTheta_i) sinTheta_O)) v)))))
accuracy2.071036715695937
#s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (neg.f32 (/.f32 #s(approx (+ 1 (* sinTheta_O sinTheta_i)) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) sinTheta_i) sinTheta_O)) v)))
accuracy0.00390625
(/.f32 #s(approx (+ 1 (* sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)
accuracy0.07204350707537752
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (neg.f32 (/.f32 #s(approx (+ 1 (* sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)))))
accuracy0.10359753024140123
#s(approx (+ 1 (* sinTheta_O sinTheta_i)) #s(literal 1 binary32))
accuracy2.071036715695937
#s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (neg.f32 (/.f32 #s(approx (+ 1 (* sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)))
accuracy0.01171875
(/.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 (log.f32 v) #s(approx (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))))
accuracy0.0390625
(-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))
accuracy0.06015134254663357
(exp.f32 (-.f32 (log.f32 v) #s(approx (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))
accuracy0.06640625
(-.f32 (log.f32 v) #s(approx (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
Samples
142.0ms199×0exit
37.0ms57×0valid
Compiler

Compiled 491 to 69 computations (85.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 157.0ms
ival-add: 61.0ms (38.9% of total)
ival-div: 36.0ms (23% of total)
ival-mult: 24.0ms (15.3% of total)
ival-exp: 11.0ms (7% of total)
ival-sub: 10.0ms (6.4% of total)
ival-log: 9.0ms (5.7% of total)
const: 3.0ms (1.9% of total)
ival-neg: 2.0ms (1.3% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series235.0ms (2%)

Memory
-29.1MiB live, 265.5MiB allocated; 31ms collecting garbage
Counts
27 → 291
Calls
Call 1
Inputs
(exp.f32 (-.f32 (log.f32 v) #s(approx (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000) (-.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 (log.f32 v) #s(approx (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))))
(-.f32 (log.f32 v) #s(approx (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
(log.f32 v)
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (neg.f32 (/.f32 #s(approx (+ 1 (* sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)))))
#s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (neg.f32 (/.f32 #s(approx (+ 1 (* sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v))))
#s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (neg.f32 (/.f32 #s(approx (+ 1 (* sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)))
(neg.f32 (/.f32 #s(approx (+ 1 (* sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v))
(*.f32 (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) sinTheta_i) sinTheta_O)
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (neg.f32 (/.f32 #s(approx (+ 1 (* sinTheta_O sinTheta_i)) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) sinTheta_i) sinTheta_O)) v)))))
#s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (neg.f32 (/.f32 #s(approx (+ 1 (* sinTheta_O sinTheta_i)) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) sinTheta_i) sinTheta_O)) v))))
#s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (neg.f32 (/.f32 #s(approx (+ 1 (* sinTheta_O sinTheta_i)) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) sinTheta_i) sinTheta_O)) v)))
(/.f32 #s(literal 1 binary32) #s(approx (/ 1 (* (exp (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v))) (/ 1/2 v))) (/.f32 (*.f32 #s(literal 2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))))
#s(approx (/ 1 (* (exp (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v))) (/ 1/2 v))) (/.f32 (*.f32 #s(literal 2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))
(/.f32 (*.f32 #s(literal 2 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 2 binary32) v)
(exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v)))))
(/.f32 #s(approx (exp (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v)) (+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (neg.f32 sinTheta_O) sinTheta_i (*.f32 cosTheta_O cosTheta_i)) v))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v))))))
#s(approx (exp (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v)) (+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (neg.f32 sinTheta_O) sinTheta_i (*.f32 cosTheta_O cosTheta_i)) v)))
(+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (neg.f32 sinTheta_O) sinTheta_i (*.f32 cosTheta_O cosTheta_i)) v))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))
#s(approx (+ 1 (* sinTheta_O sinTheta_i)) #s(literal 1 binary32))
(/.f32 #s(approx (+ 1 (* sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)
(+.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) sinTheta_i)
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
(/.f32 (fma.f32 (neg.f32 sinTheta_O) sinTheta_i (*.f32 cosTheta_O cosTheta_i)) v)
(-.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v))))
Outputs
(exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))
(+ (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (* -1 (/ (* cosTheta_O (* cosTheta_i (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))) v)))
(+ (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (* cosTheta_i (+ (* -1 (/ (* cosTheta_O (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))) v)) (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))) (pow v 2))))))
(+ (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (* cosTheta_i (+ (* -1 (/ (* cosTheta_O (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))) v)) (* cosTheta_i (+ (* -1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))) (pow v 2))))))))
(/ 1/2 (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))
(+ (* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) (* 1/2 (/ 1 (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))))
(+ (* cosTheta_i (- (* -1 (* cosTheta_i (+ (* -1/2 (/ (pow cosTheta_O 2) (* (pow v 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) (* 1/4 (/ (pow cosTheta_O 2) (* (pow v 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))))))) (* -1/2 (/ cosTheta_O (* v (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))))) (* 1/2 (/ 1 (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))))
(+ (* cosTheta_i (- (* cosTheta_i (- (* -1 (* cosTheta_i (+ (* -1/12 (/ (pow cosTheta_O 3) (* (pow v 3) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) (+ (* 1/4 (/ (pow cosTheta_O 3) (* (pow v 3) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) (/ (* cosTheta_O (+ (* -1/2 (/ (pow cosTheta_O 2) (* (pow v 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) (* 1/4 (/ (pow cosTheta_O 2) (* (pow v 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))))) v))))) (+ (* -1/2 (/ (pow cosTheta_O 2) (* (pow v 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) (* 1/4 (/ (pow cosTheta_O 2) (* (pow v 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))))))) (* -1/2 (/ cosTheta_O (* v (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))))) (* 1/2 (/ 1 (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))))
(- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)
(- (+ (log v) (+ (* -1 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 6931/10000)
(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))))
(- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) 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)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))))
(+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* cosTheta_i (+ (* 1/4 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))))
(+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* cosTheta_i (+ (* 1/2 (/ (* cosTheta_O (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))) (* cosTheta_i (+ (* 1/12 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 4))) (* 1/4 (/ (* (pow cosTheta_O 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 3))))))))
(* 2 (/ v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
(+ (* -2 (/ (* cosTheta_O cosTheta_i) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 2 (/ v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))
(+ (* 2 (/ v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* cosTheta_i (+ (* -2 (* cosTheta_i (+ (* -1 (/ (pow cosTheta_O 2) (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* 1/2 (/ (pow cosTheta_O 2) (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))) (* -2 (/ cosTheta_O (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))
(+ (* 2 (/ v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* cosTheta_i (+ (* -2 (/ cosTheta_O (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* cosTheta_i (+ (* -2 (* cosTheta_i (+ (* -1 (/ (* cosTheta_O (+ (* -1 (/ (pow cosTheta_O 2) (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* 1/2 (/ (pow cosTheta_O 2) (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) v)) (+ (* -1/2 (/ (pow cosTheta_O 3) (* (pow v 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* 1/6 (/ (pow cosTheta_O 3) (* (pow v 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))))) (* -2 (+ (* -1 (/ (pow cosTheta_O 2) (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* 1/2 (/ (pow cosTheta_O 2) (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))))))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000)))
(+ (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))) (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* v (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000)))))
(+ (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))))) (/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000)))))) (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))))
(+ (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 3) (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))))))) (/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000)))))) (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(+ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v))
(+ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))) (/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v))))
(+ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))))) (/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v))))
(+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(/ 1/2 (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))
(* -1 (/ (* cosTheta_O cosTheta_i) v))
(* cosTheta_i (- (+ (/ 1 (* cosTheta_i v)) (+ (/ (log v) cosTheta_i) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))) (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (+ (/ cosTheta_O v) (/ (log (/ 1/2 v)) cosTheta_i))) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))
(* 2 (/ v (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
(/ (exp (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000)))
(exp (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))
(* cosTheta_i (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (+ (/ 1 cosTheta_i) (/ cosTheta_O v))))
(* cosTheta_i (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ cosTheta_O v)))
(* -1 (* cosTheta_i (- (* -1 (/ (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000) cosTheta_i)) (* -1 (/ cosTheta_O v)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(+ (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (* cosTheta_O (+ (* -1 (/ (* cosTheta_i (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))) v)) (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))) (pow v 2))))))
(+ (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (* cosTheta_O (+ (* -1 (/ (* cosTheta_i (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))) v)) (* cosTheta_O (+ (* -1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))) (pow v 2))))))))
(+ (* cosTheta_O (- (* -1 (* cosTheta_O (+ (* -1/2 (/ (pow cosTheta_i 2) (* (pow v 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) (* 1/4 (/ (pow cosTheta_i 2) (* (pow v 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))))))) (* -1/2 (/ cosTheta_i (* v (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))))) (* 1/2 (/ 1 (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))))
(+ (* cosTheta_O (- (* cosTheta_O (- (* -1 (* cosTheta_O (+ (* -1/12 (/ (pow cosTheta_i 3) (* (pow v 3) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) (+ (* 1/4 (/ (pow cosTheta_i 3) (* (pow v 3) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) (/ (* cosTheta_i (+ (* -1/2 (/ (pow cosTheta_i 2) (* (pow v 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) (* 1/4 (/ (pow cosTheta_i 2) (* (pow v 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))))) v))))) (+ (* -1/2 (/ (pow cosTheta_i 2) (* (pow v 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) (* 1/4 (/ (pow cosTheta_i 2) (* (pow v 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))))))) (* -1/2 (/ cosTheta_i (* v (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))))) (* 1/2 (/ 1 (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))))
(+ (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))))
(+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* cosTheta_O (+ (* 1/4 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))))
(+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))) (* cosTheta_O (+ (* 1/12 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 4))) (* 1/4 (/ (* (pow cosTheta_i 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 3))))))))
(+ (* 2 (/ v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* cosTheta_O (+ (* -2 (* cosTheta_O (+ (* -1 (/ (pow cosTheta_i 2) (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* 1/2 (/ (pow cosTheta_i 2) (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))) (* -2 (/ cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))
(+ (* 2 (/ v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* cosTheta_O (+ (* -2 (/ cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* cosTheta_O (+ (* -2 (* cosTheta_O (+ (* -1 (/ (* cosTheta_i (+ (* -1 (/ (pow cosTheta_i 2) (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* 1/2 (/ (pow cosTheta_i 2) (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) v)) (+ (* -1/2 (/ (pow cosTheta_i 3) (* (pow v 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* 1/6 (/ (pow cosTheta_i 3) (* (pow v 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))))) (* -2 (+ (* -1 (/ (pow cosTheta_i 2) (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* 1/2 (/ (pow cosTheta_i 2) (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))))))))
(+ (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))))) (/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000)))))) (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))))
(+ (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 3) (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))))))) (/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000)))))) (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))))
(+ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))) (/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v))))
(+ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))))) (/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v))))
(* cosTheta_O (- (+ (/ 1 (* cosTheta_O v)) (+ (/ (log v) cosTheta_O) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))) (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v))))
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (+ (/ cosTheta_i v) (/ (log (/ 1/2 v)) cosTheta_O))) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(* cosTheta_O (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (+ (/ 1 cosTheta_O) (/ cosTheta_i v))))
(* cosTheta_O (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v)))
(* -1 (* cosTheta_O (- (* -1 (/ (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000) cosTheta_O)) (* -1 (/ cosTheta_i v)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(+ (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (/ (* sinTheta_O (* sinTheta_i (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))) v))
(+ (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (* sinTheta_i (+ (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))) (pow v 2))) (/ (* sinTheta_O (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))) v))))
(+ (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))) (pow v 2))))) (/ (* sinTheta_O (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))) v))))
(/ 1/2 (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))
(+ (* -1/2 (/ (* sinTheta_O sinTheta_i) (* v (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))) (* 1/2 (/ 1 (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))))
(+ (* sinTheta_i (- (* -1 (* sinTheta_i (+ (* -1/2 (/ (pow sinTheta_O 2) (* (pow v 2) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))) (* 1/4 (/ (pow sinTheta_O 2) (* (pow v 2) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))))))) (* 1/2 (/ sinTheta_O (* v (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))))) (* 1/2 (/ 1 (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))))
(+ (* sinTheta_i (- (* sinTheta_i (- (* -1 (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (+ (* -1/2 (/ (pow sinTheta_O 2) (* (pow v 2) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))) (* 1/4 (/ (pow sinTheta_O 2) (* (pow v 2) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))))) v)) (+ (* -1/4 (/ (pow sinTheta_O 3) (* (pow v 3) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))) (* 1/12 (/ (pow sinTheta_O 3) (* (pow v 3) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))))))) (+ (* -1/2 (/ (pow sinTheta_O 2) (* (pow v 2) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))) (* 1/4 (/ (pow sinTheta_O 2) (* (pow v 2) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))))))) (* 1/2 (/ sinTheta_O (* v (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))))) (* 1/2 (/ 1 (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))))
(- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))
(- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_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)))
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(- (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))
(- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))
(/ -1 v)
(- (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ 1 v))
1
(+ 1 (* sinTheta_O sinTheta_i))
(* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v))
(+ (* -1/2 (/ (* sinTheta_O (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (pow v 2))) (* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)))
(+ (* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (* sinTheta_i (+ (* -1/2 (/ (* sinTheta_O (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) (pow v 2))) (* 1/4 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (pow v 3))))))
(+ (* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (* sinTheta_i (+ (* -1/2 (/ (* sinTheta_O (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) (pow v 2))) (* sinTheta_i (+ (* -1/12 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (pow v 4))) (* 1/4 (/ (* (pow sinTheta_O 2) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) (pow v 3))))))))
(* 2 (/ v (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))))
(+ (* 2 (/ v (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (* 2 (/ (* sinTheta_O sinTheta_i) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))))
(+ (* 2 (/ v (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (* sinTheta_i (+ (* -2 (* sinTheta_i (+ (* -1 (/ (pow sinTheta_O 2) (* v (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))))) (* 1/2 (/ (pow sinTheta_O 2) (* v (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))))))) (* 2 (/ sinTheta_O (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))))))
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(* 2 (/ v (exp (- 6931/10000 (/ 1 v)))))
(+ (* 2 (/ v (exp (- 6931/10000 (/ 1 v))))) (* 2 (/ (* sinTheta_O sinTheta_i) (exp (- 6931/10000 (/ 1 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))))))))
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(/ (exp (/ (* cosTheta_O cosTheta_i) v)) (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000)))
(+ (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (/ (* cosTheta_O cosTheta_i) v)))) (* v (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))))) (/ (exp (/ (* cosTheta_O cosTheta_i) v)) (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))))
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(exp (/ (* cosTheta_O cosTheta_i) v))
(+ (exp (/ (* cosTheta_O cosTheta_i) v)) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (/ (* cosTheta_O cosTheta_i) v)))) v)))
(+ (exp (/ (* cosTheta_O cosTheta_i) v)) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (/ (* cosTheta_O cosTheta_i) v))) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (/ (* cosTheta_O cosTheta_i) v)))) (pow v 2))))))
(+ (exp (/ (* cosTheta_O cosTheta_i) v)) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (/ (* cosTheta_O cosTheta_i) v))) v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (/ (* cosTheta_O cosTheta_i) v)))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (/ (* cosTheta_O cosTheta_i) v))) (pow v 2))))))))
(+ 1 (/ (* cosTheta_O cosTheta_i) v))
(- 6931/10000 (/ 1 v))
(- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))
(/ 1 v)
(+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))
(/ 1 sinTheta_O)
(+ sinTheta_i (/ 1 sinTheta_O))
(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))))))))
(/ (* sinTheta_O sinTheta_i) v)
(* sinTheta_i (- (+ (/ 1 (* sinTheta_i v)) (+ (/ sinTheta_O v) (/ (log v) sinTheta_i))) (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)))))
(* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ (log (/ 1/2 v)) sinTheta_i) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (log (/ 1/2 v)) sinTheta_i)) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(* -1 (* sinTheta_i (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(* sinTheta_O sinTheta_i)
(* sinTheta_i (+ sinTheta_O (/ 1 sinTheta_i)))
(* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (+ (/ 1 sinTheta_i) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)))))
(* sinTheta_i (- (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(* sinTheta_i (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v)))
sinTheta_i
(* sinTheta_i (+ 1 (/ 1 (* sinTheta_O sinTheta_i))))
(exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))
(* -1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* -1 (/ (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))) sinTheta_i)))))
(* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(* -1 (* sinTheta_i (- (/ 1 (* sinTheta_i v)) (* -1 (/ sinTheta_O v)))))
(* -1 (* sinTheta_i (- (* -1 sinTheta_O) (/ 1 sinTheta_i))))
(* -1 (* sinTheta_i (+ (* -1 (/ (+ 1 (/ (* cosTheta_O cosTheta_i) v)) sinTheta_i)) (/ sinTheta_O v))))
(* -1 (* sinTheta_i (- (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(* -1 (* sinTheta_i (- (* -1 (/ sinTheta_O v)) (/ 1 (* sinTheta_i v)))))
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ sinTheta_O v))))
(+ (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (* sinTheta_O (+ (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))) (pow v 2))) (/ (* sinTheta_i (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))) v))))
(+ (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (* sinTheta_O (+ (* sinTheta_O (+ (* 1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))) (pow v 2))))) (/ (* sinTheta_i (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))) v))))
(+ (* sinTheta_O (- (* -1 (* sinTheta_O (+ (* -1/2 (/ (pow sinTheta_i 2) (* (pow v 2) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))) (* 1/4 (/ (pow sinTheta_i 2) (* (pow v 2) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))))))) (* 1/2 (/ sinTheta_i (* v (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))))) (* 1/2 (/ 1 (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))))
(+ (* sinTheta_O (- (* sinTheta_O (- (* -1 (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (+ (* -1/2 (/ (pow sinTheta_i 2) (* (pow v 2) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))) (* 1/4 (/ (pow sinTheta_i 2) (* (pow v 2) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))))) v)) (+ (* -1/4 (/ (pow sinTheta_i 3) (* (pow v 3) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))) (* 1/12 (/ (pow sinTheta_i 3) (* (pow v 3) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))))))) (+ (* -1/2 (/ (pow sinTheta_i 2) (* (pow v 2) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))) (* 1/4 (/ (pow sinTheta_i 2) (* (pow v 2) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))))))) (* 1/2 (/ sinTheta_i (* v (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))))) (* 1/2 (/ 1 (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) 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))))))))
(+ (* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (* sinTheta_O (+ (* -1/2 (/ (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) (pow v 2))) (* 1/4 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (pow v 3))))))
(+ (* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (* sinTheta_O (+ (* -1/2 (/ (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) (pow v 2))) (* sinTheta_O (+ (* -1/12 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (pow v 4))) (* 1/4 (/ (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) (pow v 3))))))))
(+ (* 2 (/ v (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (* sinTheta_O (+ (* -2 (* sinTheta_O (+ (* -1 (/ (pow sinTheta_i 2) (* v (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))))) (* 1/2 (/ (pow sinTheta_i 2) (* v (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))))))) (* 2 (/ sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))))))
(+ (* 2 (/ v (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (* sinTheta_O (+ (* 2 (/ sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (* sinTheta_O (+ (* -2 (* sinTheta_O (+ (* -1/6 (/ (pow sinTheta_i 3) (* (pow v 2) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))))) (+ (* 1/2 (/ (pow sinTheta_i 3) (* (pow v 2) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))))) (/ (* sinTheta_i (+ (* -1 (/ (pow sinTheta_i 2) (* v (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))))) (* 1/2 (/ (pow sinTheta_i 2) (* v (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))))))) v))))) (* -2 (+ (* -1 (/ (pow sinTheta_i 2) (* v (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))))) (* 1/2 (/ (pow sinTheta_i 2) (* v (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 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))))))))
(+ (* 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)))))))))))))
(+ (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (/ (* cosTheta_O cosTheta_i) v))) (* v (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))))) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (/ (* cosTheta_O cosTheta_i) v)))) (* (pow v 2) (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))))))) (/ (exp (/ (* cosTheta_O cosTheta_i) v)) (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))))
(+ (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (/ (* cosTheta_O cosTheta_i) v))) (* v (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))))) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (/ (* cosTheta_O cosTheta_i) v)))) (* (pow v 3) (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (/ (* cosTheta_O cosTheta_i) v))) (* (pow v 2) (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))))))))) (/ (exp (/ (* cosTheta_O cosTheta_i) v)) (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))))
(+ (exp (/ (* cosTheta_O cosTheta_i) v)) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (/ (* cosTheta_O cosTheta_i) v))) v)) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (/ (* cosTheta_O cosTheta_i) v)))) (pow v 2))))))
(+ (exp (/ (* cosTheta_O cosTheta_i) v)) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (/ (* cosTheta_O cosTheta_i) v))) v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (/ (* cosTheta_O cosTheta_i) v)))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (/ (* cosTheta_O cosTheta_i) v))) (pow v 2))))))))
(/ (+ 1 (* sinTheta_O sinTheta_i)) sinTheta_O)
(+ (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))))))))
(* sinTheta_O (- (+ (/ 1 (* sinTheta_O v)) (+ (/ sinTheta_i v) (/ (log v) sinTheta_O))) (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)))))
(* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ (log (/ 1/2 v)) sinTheta_O) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (log (/ 1/2 v)) sinTheta_O)) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(* -1 (* sinTheta_O (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(* sinTheta_O (+ sinTheta_i (/ 1 sinTheta_O)))
(* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (+ (/ 1 sinTheta_O) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)))))
(* sinTheta_O (- (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(* sinTheta_O (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v)))
(* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))
(* -1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* -1 (/ (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))) sinTheta_O)))))
(* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
(* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
(* -1 (* sinTheta_O (- (/ 1 (* sinTheta_O v)) (* -1 (/ sinTheta_i v)))))
(* -1 (* sinTheta_O (- (* -1 sinTheta_i) (/ 1 sinTheta_O))))
(* -1 (* sinTheta_O (+ (* -1 (/ (+ 1 (/ (* cosTheta_O cosTheta_i) v)) sinTheta_O)) (/ sinTheta_i v))))
(* -1 (* sinTheta_O (- (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
(* -1 (* sinTheta_O (- (* -1 (/ sinTheta_i v)) (/ 1 (* sinTheta_O v)))))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ sinTheta_i v))))
(/ (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) v)
(/ (- (+ 1 (+ (* sinTheta_O sinTheta_i) (* v (- (log v) 6931/10000)))) (* cosTheta_O cosTheta_i)) v)
(log v)
(/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/ (- (+ (* cosTheta_O cosTheta_i) (* v (+ 6931/10000 (+ (log 1/2) (* -1 (log v)))))) (+ 1 (* sinTheta_O sinTheta_i))) v)
(* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))
(/ (- (* v (+ 6931/10000 (+ (log 1/2) (* -1 (log v))))) (+ 1 (* sinTheta_O sinTheta_i))) v)
(* 2 v)
(exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))
(/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) v)
(/ (+ v (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))) v)
(/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/ (+ 1 (* sinTheta_O sinTheta_i)) v)
(/ (+ 1 (* v (- (+ (log 2) (log v)) 6931/10000))) v)
(exp (- (* -1 (log (/ 1 v))) 6931/10000))
(+ (exp (- (* -1 (log (/ 1 v))) 6931/10000)) (/ (* (exp (- (* -1 (log (/ 1 v))) 6931/10000)) (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))) v))
(+ (exp (- (* -1 (log (/ 1 v))) 6931/10000)) (+ (* 1/2 (/ (* (exp (- (* -1 (log (/ 1 v))) 6931/10000)) (pow (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 2)) (pow v 2))) (/ (* (exp (- (* -1 (log (/ 1 v))) 6931/10000)) (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))) v)))
(+ (exp (- (* -1 (log (/ 1 v))) 6931/10000)) (+ (* 1/6 (/ (* (exp (- (* -1 (log (/ 1 v))) 6931/10000)) (pow (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 3)) (pow v 3))) (+ (* 1/2 (/ (* (exp (- (* -1 (log (/ 1 v))) 6931/10000)) (pow (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 2)) (pow v 2))) (/ (* (exp (- (* -1 (log (/ 1 v))) 6931/10000)) (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))) v))))
(/ 1/2 (exp (- (* -1 (log (/ 1 v))) 6931/10000)))
(+ (* -1/2 (/ (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) (* v (exp (- (* -1 (log (/ 1 v))) 6931/10000))))) (* 1/2 (/ 1 (exp (- (* -1 (log (/ 1 v))) 6931/10000)))))
(- (+ (* -1 (/ (+ (* -1/2 (/ (pow (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 2) (exp (- (* -1 (log (/ 1 v))) 6931/10000)))) (* 1/4 (/ (pow (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 2) (exp (- (* -1 (log (/ 1 v))) 6931/10000))))) (pow v 2))) (* 1/2 (/ 1 (exp (- (* -1 (log (/ 1 v))) 6931/10000))))) (* 1/2 (/ (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) (* v (exp (- (* -1 (log (/ 1 v))) 6931/10000))))))
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(- (* -1 (log (/ 1 v))) 6931/10000)
(- (+ (* -1 (log (/ 1 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))
(* -1 (log (/ 1 v)))
(exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v)))))
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(+ (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))))
(+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))
(- (+ 6931/10000 (+ (log 1/2) (+ (log (/ 1 v)) (/ (* cosTheta_O cosTheta_i) v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(+ 6931/10000 (+ (log 1/2) (+ (log (/ 1 v)) (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))
(* 1/2 (/ (exp 6931/10000) v))
(/ (+ (* 1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v))) v)
(/ (+ (* 1/4 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (pow v 2))) (+ (* 1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v)))) v)
(/ (+ (* 1/12 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3)) (pow v 3))) (+ (* 1/4 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (pow v 2))) (+ (* 1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v))))) v)
(* 2 (/ v (exp 6931/10000)))
(* v (+ (* -2 (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) (* v (exp 6931/10000)))) (* 2 (/ 1 (exp 6931/10000)))))
(* v (- (+ (* -1 (/ (+ (* -2 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (exp 6931/10000))) (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (exp 6931/10000))) (pow v 2))) (* 2 (/ 1 (exp 6931/10000)))) (* 2 (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) (* v (exp 6931/10000))))))
(* v (- (+ (* -1 (/ (+ (* -1 (* (+ (* -2 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (exp 6931/10000))) (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (exp 6931/10000))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))))) (+ (* -1 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3) (exp 6931/10000))) (* 1/3 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3) (exp 6931/10000))))) (pow v 3))) (* 2 (/ 1 (exp 6931/10000)))) (+ (* -2 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (* (pow v 2) (exp 6931/10000)))) (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) (* v (exp 6931/10000)))) (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (* (pow v 2) (exp 6931/10000)))))))
(* v (+ (* 2 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* v (exp 6931/10000)))) (* 2 (/ 1 (exp 6931/10000)))))
(* 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))))))
(* 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)))))))
(exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000))
(+ (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) (/ (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) v))
(+ (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) (+ (* 1/2 (/ (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) (pow v 2))) (/ (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) v)))
(+ (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) (+ (* 1/6 (/ (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) (pow v 3))) (+ (* 1/2 (/ (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) (pow v 2))) (/ (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) v))))
(/ 1 (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)))
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(- (+ 1 (/ (* cosTheta_O cosTheta_i) v)) (/ (* sinTheta_O sinTheta_i) v))
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(- (+ 1 (+ (* 1/6 (/ (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 3) (pow v 3))) (+ (* 1/2 (/ (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v)))) (/ (* sinTheta_O sinTheta_i) v))
6931/10000
(+ 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))))))
(- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)
(- (+ (log 2) (+ (* -1 (log (/ 1 v))) (/ 1 v))) 6931/10000)
(exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000))
(+ (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)) (* -1 (/ (* (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v)))
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(+ (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3)) v)) (* 1/2 (* (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)))) v)) (* (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))))) v)))
(/ 1/2 (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)))
(+ (* 1/2 (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) (* v (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000))))) (* 1/2 (/ 1 (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)))))
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(- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)
(- (+ (log -1) (+ (* -1 (log (/ -1 v))) (* -1 (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)))) 6931/10000)
(+ (log -1) (* -1 (log (/ -1 v))))
(exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v)))))
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(+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))
(+ 6931/10000 (+ (log -1/2) (+ (log (/ -1 v)) (* -1 (/ (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) v)))))
(+ 6931/10000 (+ (log -1/2) (+ (log (/ -1 v)) (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))
(* -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 (* v (- (* 2 (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) (* v (exp 6931/10000)))) (* 2 (/ 1 (exp 6931/10000))))))
(* -1 (* v (- (* -1 (/ (- (+ (* -1 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (* v (exp 6931/10000)))) (* 2 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (* v (exp 6931/10000))))) (* 2 (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) (exp 6931/10000)))) v)) (* 2 (/ 1 (exp 6931/10000))))))
(* -1 (* v (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3) (* v (exp 6931/10000)))) (+ (* 1/3 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3) (* v (exp 6931/10000)))) (/ (* (+ (* -1 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (exp 6931/10000))) (* 2 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (exp 6931/10000)))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v))) (+ (* -1 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (exp 6931/10000))) (* 2 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (exp 6931/10000))))) v)) (* 2 (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) (exp 6931/10000)))) v)) (* 2 (/ 1 (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))))))
(exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))
(+ (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)) (/ (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)) v))
(+ (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)) (* -1 (/ (+ (* -1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))) (* -1/2 (/ (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)) v))) v)))
(+ (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)) (* -1 (/ (+ (* -1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))) (* -1 (/ (+ (* 1/6 (/ (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)) v)) (* 1/2 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))) v))) v)))
(/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))
(+ (* -1 (/ (+ (* -1 (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))) (/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))) v)) (/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))))
(+ (* -1 (/ (+ (* -1 (/ (- (* 1/2 (/ (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2) (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))) (+ (* -1 (+ (* -1 (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))) (/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))))) (* 1/2 (/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))))) v)) (+ (* -1 (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))) (/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))))) v)) (/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))))
(+ (* -1 (/ (+ (* -1 (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))) (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/6 (/ (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 3) (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))) (* 1/6 (/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))))) (+ (* -1 (- (* 1/2 (/ (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2) (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))) (+ (* -1 (+ (* -1 (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))) (/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))))) (* 1/2 (/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))))))) (* 1/2 (+ (* -1 (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))) (/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))))))) v)) (* 1/2 (/ (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2) (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))))) (+ (* -1 (+ (* -1 (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))) (/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))))) (* 1/2 (/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))))) v)) (/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))))) v)) (/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))))
(+ 1 (* -1 (/ (+ (* -1 (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (* -1/2 (/ (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2) v))) v)))
(+ 1 (* -1 (/ (+ (* -1 (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (* -1 (/ (+ (* 1/6 (/ (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 3) v)) (* 1/2 (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2))) v))) 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)))
(- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)
(- (+ (log -2) (+ (* -1 (log (/ -1 v))) (/ 1 v))) 6931/10000)
Calls

15 calls:

TimeVariablePointExpression
39.0ms
sinTheta_i
@-inf
((exp (- (log v) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000))) (/ 1/2 (exp (- (log v) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000)))) (- (log v) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000)) (log v) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (neg (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* (+ (/ 1 sinTheta_O) sinTheta_i) sinTheta_O) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (/ 1 (/ 1 (* (exp (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v))) (/ 1/2 v)))) (/ 1 (* (exp (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v))) (/ 1/2 v))) (/ (* 2 v) (exp (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v)))) (* 2 v) (exp (- (/ 1 v) (- 6931/10000 (log (* 2 v))))) (/ (exp (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v)) (exp (- (/ 1 v) (- 6931/10000 (log (* 2 v)))))) (exp (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v)) (+ 1 (/ (+ (* (neg sinTheta_O) sinTheta_i) (* cosTheta_O cosTheta_i)) v)) (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (+ 1 (* sinTheta_O sinTheta_i)) (/ (+ 1 (* sinTheta_O sinTheta_i)) v) (+ (/ 1 sinTheta_O) sinTheta_i) (exp (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v))) (/ (+ (* (neg sinTheta_O) sinTheta_i) (* cosTheta_O cosTheta_i)) v) (- (/ 1 v) (- 6931/10000 (log (* 2 v)))))
32.0ms
v
@inf
((exp (- (log v) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000))) (/ 1/2 (exp (- (log v) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000)))) (- (log v) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000)) (log v) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (neg (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* (+ (/ 1 sinTheta_O) sinTheta_i) sinTheta_O) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (/ 1 (/ 1 (* (exp (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v))) (/ 1/2 v)))) (/ 1 (* (exp (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v))) (/ 1/2 v))) (/ (* 2 v) (exp (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v)))) (* 2 v) (exp (- (/ 1 v) (- 6931/10000 (log (* 2 v))))) (/ (exp (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v)) (exp (- (/ 1 v) (- 6931/10000 (log (* 2 v)))))) (exp (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v)) (+ 1 (/ (+ (* (neg sinTheta_O) sinTheta_i) (* cosTheta_O cosTheta_i)) v)) (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (+ 1 (* sinTheta_O sinTheta_i)) (/ (+ 1 (* sinTheta_O sinTheta_i)) v) (+ (/ 1 sinTheta_O) sinTheta_i) (exp (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v))) (/ (+ (* (neg sinTheta_O) sinTheta_i) (* cosTheta_O cosTheta_i)) v) (- (/ 1 v) (- 6931/10000 (log (* 2 v)))))
26.0ms
cosTheta_O
@inf
((exp (- (log v) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000))) (/ 1/2 (exp (- (log v) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000)))) (- (log v) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000)) (log v) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (neg (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* (+ (/ 1 sinTheta_O) sinTheta_i) sinTheta_O) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (/ 1 (/ 1 (* (exp (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v))) (/ 1/2 v)))) (/ 1 (* (exp (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v))) (/ 1/2 v))) (/ (* 2 v) (exp (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v)))) (* 2 v) (exp (- (/ 1 v) (- 6931/10000 (log (* 2 v))))) (/ (exp (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v)) (exp (- (/ 1 v) (- 6931/10000 (log (* 2 v)))))) (exp (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v)) (+ 1 (/ (+ (* (neg sinTheta_O) sinTheta_i) (* cosTheta_O cosTheta_i)) v)) (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (+ 1 (* sinTheta_O sinTheta_i)) (/ (+ 1 (* sinTheta_O sinTheta_i)) v) (+ (/ 1 sinTheta_O) sinTheta_i) (exp (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v))) (/ (+ (* (neg sinTheta_O) sinTheta_i) (* cosTheta_O cosTheta_i)) v) (- (/ 1 v) (- 6931/10000 (log (* 2 v)))))
19.0ms
cosTheta_i
@inf
((exp (- (log v) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000))) (/ 1/2 (exp (- (log v) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000)))) (- (log v) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000)) (log v) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (neg (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* (+ (/ 1 sinTheta_O) sinTheta_i) sinTheta_O) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (/ 1 (/ 1 (* (exp (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v))) (/ 1/2 v)))) (/ 1 (* (exp (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v))) (/ 1/2 v))) (/ (* 2 v) (exp (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v)))) (* 2 v) (exp (- (/ 1 v) (- 6931/10000 (log (* 2 v))))) (/ (exp (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v)) (exp (- (/ 1 v) (- 6931/10000 (log (* 2 v)))))) (exp (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v)) (+ 1 (/ (+ (* (neg sinTheta_O) sinTheta_i) (* cosTheta_O cosTheta_i)) v)) (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (+ 1 (* sinTheta_O sinTheta_i)) (/ (+ 1 (* sinTheta_O sinTheta_i)) v) (+ (/ 1 sinTheta_O) sinTheta_i) (exp (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v))) (/ (+ (* (neg sinTheta_O) sinTheta_i) (* cosTheta_O cosTheta_i)) v) (- (/ 1 v) (- 6931/10000 (log (* 2 v)))))
14.0ms
sinTheta_O
@-inf
((exp (- (log v) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000))) (/ 1/2 (exp (- (log v) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000)))) (- (log v) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000)) (log v) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (neg (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* (+ (/ 1 sinTheta_O) sinTheta_i) sinTheta_O) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (/ 1 (/ 1 (* (exp (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v))) (/ 1/2 v)))) (/ 1 (* (exp (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v))) (/ 1/2 v))) (/ (* 2 v) (exp (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v)))) (* 2 v) (exp (- (/ 1 v) (- 6931/10000 (log (* 2 v))))) (/ (exp (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v)) (exp (- (/ 1 v) (- 6931/10000 (log (* 2 v)))))) (exp (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v)) (+ 1 (/ (+ (* (neg sinTheta_O) sinTheta_i) (* cosTheta_O cosTheta_i)) v)) (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (+ 1 (* sinTheta_O sinTheta_i)) (/ (+ 1 (* sinTheta_O sinTheta_i)) v) (+ (/ 1 sinTheta_O) sinTheta_i) (exp (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v))) (/ (+ (* (neg sinTheta_O) sinTheta_i) (* cosTheta_O cosTheta_i)) v) (- (/ 1 v) (- 6931/10000 (log (* 2 v)))))

simplify195.0ms (1.7%)

Memory
49.2MiB live, 281.9MiB allocated; 18ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0169911145
1625210749
0828210168
Stop Event
iter limit
node limit
Counts
291 → 290
Calls
Call 1
Inputs
(exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))
(+ (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (* -1 (/ (* cosTheta_O (* cosTheta_i (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))) v)))
(+ (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (* cosTheta_i (+ (* -1 (/ (* cosTheta_O (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))) v)) (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))) (pow v 2))))))
(+ (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (* cosTheta_i (+ (* -1 (/ (* cosTheta_O (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))) v)) (* cosTheta_i (+ (* -1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))) (pow v 2))))))))
(/ 1/2 (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))
(+ (* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) (* 1/2 (/ 1 (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))))
(+ (* cosTheta_i (- (* -1 (* cosTheta_i (+ (* -1/2 (/ (pow cosTheta_O 2) (* (pow v 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) (* 1/4 (/ (pow cosTheta_O 2) (* (pow v 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))))))) (* -1/2 (/ cosTheta_O (* v (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))))) (* 1/2 (/ 1 (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))))
(+ (* cosTheta_i (- (* cosTheta_i (- (* -1 (* cosTheta_i (+ (* -1/12 (/ (pow cosTheta_O 3) (* (pow v 3) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) (+ (* 1/4 (/ (pow cosTheta_O 3) (* (pow v 3) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) (/ (* cosTheta_O (+ (* -1/2 (/ (pow cosTheta_O 2) (* (pow v 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) (* 1/4 (/ (pow cosTheta_O 2) (* (pow v 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))))) v))))) (+ (* -1/2 (/ (pow cosTheta_O 2) (* (pow v 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) (* 1/4 (/ (pow cosTheta_O 2) (* (pow v 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))))))) (* -1/2 (/ cosTheta_O (* v (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))))) (* 1/2 (/ 1 (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))))
(- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)
(- (+ (log v) (+ (* -1 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 6931/10000)
(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))))
(- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) 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)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))))
(+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* cosTheta_i (+ (* 1/4 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))))
(+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* cosTheta_i (+ (* 1/2 (/ (* cosTheta_O (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))) (* cosTheta_i (+ (* 1/12 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 4))) (* 1/4 (/ (* (pow cosTheta_O 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 3))))))))
(* 2 (/ v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
(+ (* -2 (/ (* cosTheta_O cosTheta_i) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 2 (/ v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))
(+ (* 2 (/ v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* cosTheta_i (+ (* -2 (* cosTheta_i (+ (* -1 (/ (pow cosTheta_O 2) (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* 1/2 (/ (pow cosTheta_O 2) (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))) (* -2 (/ cosTheta_O (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))
(+ (* 2 (/ v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* cosTheta_i (+ (* -2 (/ cosTheta_O (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* cosTheta_i (+ (* -2 (* cosTheta_i (+ (* -1 (/ (* cosTheta_O (+ (* -1 (/ (pow cosTheta_O 2) (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* 1/2 (/ (pow cosTheta_O 2) (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) v)) (+ (* -1/2 (/ (pow cosTheta_O 3) (* (pow v 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* 1/6 (/ (pow cosTheta_O 3) (* (pow v 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))))) (* -2 (+ (* -1 (/ (pow cosTheta_O 2) (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* 1/2 (/ (pow cosTheta_O 2) (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))))))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000)))
(+ (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))) (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* v (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000)))))
(+ (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))))) (/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000)))))) (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))))
(+ (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 3) (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))))))) (/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000)))))) (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(+ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v))
(+ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))) (/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v))))
(+ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))))) (/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v))))
(+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(/ 1/2 (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))
(* -1 (/ (* cosTheta_O cosTheta_i) v))
(* cosTheta_i (- (+ (/ 1 (* cosTheta_i v)) (+ (/ (log v) cosTheta_i) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))) (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (+ (/ cosTheta_O v) (/ (log (/ 1/2 v)) cosTheta_i))) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))
(* 2 (/ v (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
(/ (exp (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000)))
(exp (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))
(* cosTheta_i (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (+ (/ 1 cosTheta_i) (/ cosTheta_O v))))
(* cosTheta_i (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ cosTheta_O v)))
(* -1 (* cosTheta_i (- (* -1 (/ (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000) cosTheta_i)) (* -1 (/ cosTheta_O v)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(+ (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (* cosTheta_O (+ (* -1 (/ (* cosTheta_i (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))) v)) (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))) (pow v 2))))))
(+ (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (* cosTheta_O (+ (* -1 (/ (* cosTheta_i (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))) v)) (* cosTheta_O (+ (* -1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))) (pow v 2))))))))
(+ (* cosTheta_O (- (* -1 (* cosTheta_O (+ (* -1/2 (/ (pow cosTheta_i 2) (* (pow v 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) (* 1/4 (/ (pow cosTheta_i 2) (* (pow v 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))))))) (* -1/2 (/ cosTheta_i (* v (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))))) (* 1/2 (/ 1 (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))))
(+ (* cosTheta_O (- (* cosTheta_O (- (* -1 (* cosTheta_O (+ (* -1/12 (/ (pow cosTheta_i 3) (* (pow v 3) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) (+ (* 1/4 (/ (pow cosTheta_i 3) (* (pow v 3) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) (/ (* cosTheta_i (+ (* -1/2 (/ (pow cosTheta_i 2) (* (pow v 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) (* 1/4 (/ (pow cosTheta_i 2) (* (pow v 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))))) v))))) (+ (* -1/2 (/ (pow cosTheta_i 2) (* (pow v 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) (* 1/4 (/ (pow cosTheta_i 2) (* (pow v 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))))))) (* -1/2 (/ cosTheta_i (* v (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))))) (* 1/2 (/ 1 (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))))
(+ (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))))
(+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* cosTheta_O (+ (* 1/4 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))))
(+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))) (* cosTheta_O (+ (* 1/12 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 4))) (* 1/4 (/ (* (pow cosTheta_i 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 3))))))))
(+ (* 2 (/ v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* cosTheta_O (+ (* -2 (* cosTheta_O (+ (* -1 (/ (pow cosTheta_i 2) (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* 1/2 (/ (pow cosTheta_i 2) (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))) (* -2 (/ cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))
(+ (* 2 (/ v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* cosTheta_O (+ (* -2 (/ cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* cosTheta_O (+ (* -2 (* cosTheta_O (+ (* -1 (/ (* cosTheta_i (+ (* -1 (/ (pow cosTheta_i 2) (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* 1/2 (/ (pow cosTheta_i 2) (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) v)) (+ (* -1/2 (/ (pow cosTheta_i 3) (* (pow v 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* 1/6 (/ (pow cosTheta_i 3) (* (pow v 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))))) (* -2 (+ (* -1 (/ (pow cosTheta_i 2) (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* 1/2 (/ (pow cosTheta_i 2) (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))))))))
(+ (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))))) (/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000)))))) (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))))
(+ (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 3) (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))))))) (/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000)))))) (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))))
(+ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))) (/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v))))
(+ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))))) (/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v))))
(* cosTheta_O (- (+ (/ 1 (* cosTheta_O v)) (+ (/ (log v) cosTheta_O) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))) (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v))))
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (+ (/ cosTheta_i v) (/ (log (/ 1/2 v)) cosTheta_O))) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(* cosTheta_O (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (+ (/ 1 cosTheta_O) (/ cosTheta_i v))))
(* cosTheta_O (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v)))
(* -1 (* cosTheta_O (- (* -1 (/ (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000) cosTheta_O)) (* -1 (/ cosTheta_i v)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(+ (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (/ (* sinTheta_O (* sinTheta_i (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))) v))
(+ (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (* sinTheta_i (+ (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))) (pow v 2))) (/ (* sinTheta_O (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))) v))))
(+ (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))) (pow v 2))))) (/ (* sinTheta_O (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))) v))))
(/ 1/2 (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))
(+ (* -1/2 (/ (* sinTheta_O sinTheta_i) (* v (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))) (* 1/2 (/ 1 (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))))
(+ (* sinTheta_i (- (* -1 (* sinTheta_i (+ (* -1/2 (/ (pow sinTheta_O 2) (* (pow v 2) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))) (* 1/4 (/ (pow sinTheta_O 2) (* (pow v 2) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))))))) (* 1/2 (/ sinTheta_O (* v (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))))) (* 1/2 (/ 1 (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))))
(+ (* sinTheta_i (- (* sinTheta_i (- (* -1 (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (+ (* -1/2 (/ (pow sinTheta_O 2) (* (pow v 2) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))) (* 1/4 (/ (pow sinTheta_O 2) (* (pow v 2) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))))) v)) (+ (* -1/4 (/ (pow sinTheta_O 3) (* (pow v 3) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))) (* 1/12 (/ (pow sinTheta_O 3) (* (pow v 3) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))))))) (+ (* -1/2 (/ (pow sinTheta_O 2) (* (pow v 2) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))) (* 1/4 (/ (pow sinTheta_O 2) (* (pow v 2) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))))))) (* 1/2 (/ sinTheta_O (* v (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))))) (* 1/2 (/ 1 (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))))
(- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))
(- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_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)))
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(- (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))
(- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))
(/ -1 v)
(- (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ 1 v))
1
(+ 1 (* sinTheta_O sinTheta_i))
(* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v))
(+ (* -1/2 (/ (* sinTheta_O (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (pow v 2))) (* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)))
(+ (* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (* sinTheta_i (+ (* -1/2 (/ (* sinTheta_O (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) (pow v 2))) (* 1/4 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (pow v 3))))))
(+ (* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (* sinTheta_i (+ (* -1/2 (/ (* sinTheta_O (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) (pow v 2))) (* sinTheta_i (+ (* -1/12 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (pow v 4))) (* 1/4 (/ (* (pow sinTheta_O 2) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) (pow v 3))))))))
(* 2 (/ v (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))))
(+ (* 2 (/ v (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (* 2 (/ (* sinTheta_O sinTheta_i) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))))
(+ (* 2 (/ v (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (* sinTheta_i (+ (* -2 (* sinTheta_i (+ (* -1 (/ (pow sinTheta_O 2) (* v (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))))) (* 1/2 (/ (pow sinTheta_O 2) (* v (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))))))) (* 2 (/ sinTheta_O (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))))))
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(* 2 (/ v (exp (- 6931/10000 (/ 1 v)))))
(+ (* 2 (/ v (exp (- 6931/10000 (/ 1 v))))) (* 2 (/ (* sinTheta_O sinTheta_i) (exp (- 6931/10000 (/ 1 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))))))))
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(/ (exp (/ (* cosTheta_O cosTheta_i) v)) (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000)))
(+ (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (/ (* cosTheta_O cosTheta_i) v)))) (* v (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))))) (/ (exp (/ (* cosTheta_O cosTheta_i) v)) (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))))
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(exp (/ (* cosTheta_O cosTheta_i) v))
(+ (exp (/ (* cosTheta_O cosTheta_i) v)) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (/ (* cosTheta_O cosTheta_i) v)))) v)))
(+ (exp (/ (* cosTheta_O cosTheta_i) v)) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (/ (* cosTheta_O cosTheta_i) v))) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (/ (* cosTheta_O cosTheta_i) v)))) (pow v 2))))))
(+ (exp (/ (* cosTheta_O cosTheta_i) v)) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (/ (* cosTheta_O cosTheta_i) v))) v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (/ (* cosTheta_O cosTheta_i) v)))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (/ (* cosTheta_O cosTheta_i) v))) (pow v 2))))))))
(+ 1 (/ (* cosTheta_O cosTheta_i) v))
(- 6931/10000 (/ 1 v))
(- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))
(/ 1 v)
(+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))
(/ 1 sinTheta_O)
(+ sinTheta_i (/ 1 sinTheta_O))
(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))))))))
(/ (* sinTheta_O sinTheta_i) v)
(* sinTheta_i (- (+ (/ 1 (* sinTheta_i v)) (+ (/ sinTheta_O v) (/ (log v) sinTheta_i))) (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)))))
(* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ (log (/ 1/2 v)) sinTheta_i) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (log (/ 1/2 v)) sinTheta_i)) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(* -1 (* sinTheta_i (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(* sinTheta_O sinTheta_i)
(* sinTheta_i (+ sinTheta_O (/ 1 sinTheta_i)))
(* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (+ (/ 1 sinTheta_i) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)))))
(* sinTheta_i (- (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(* sinTheta_i (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v)))
sinTheta_i
(* sinTheta_i (+ 1 (/ 1 (* sinTheta_O sinTheta_i))))
(exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))
(* -1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* -1 (/ (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))) sinTheta_i)))))
(* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(* -1 (* sinTheta_i (- (/ 1 (* sinTheta_i v)) (* -1 (/ sinTheta_O v)))))
(* -1 (* sinTheta_i (- (* -1 sinTheta_O) (/ 1 sinTheta_i))))
(* -1 (* sinTheta_i (+ (* -1 (/ (+ 1 (/ (* cosTheta_O cosTheta_i) v)) sinTheta_i)) (/ sinTheta_O v))))
(* -1 (* sinTheta_i (- (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(* -1 (* sinTheta_i (- (* -1 (/ sinTheta_O v)) (/ 1 (* sinTheta_i v)))))
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ sinTheta_O v))))
(+ (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (* sinTheta_O (+ (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))) (pow v 2))) (/ (* sinTheta_i (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))) v))))
(+ (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (* sinTheta_O (+ (* sinTheta_O (+ (* 1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))) (pow v 2))))) (/ (* sinTheta_i (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))) v))))
(+ (* sinTheta_O (- (* -1 (* sinTheta_O (+ (* -1/2 (/ (pow sinTheta_i 2) (* (pow v 2) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))) (* 1/4 (/ (pow sinTheta_i 2) (* (pow v 2) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))))))) (* 1/2 (/ sinTheta_i (* v (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))))) (* 1/2 (/ 1 (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))))
(+ (* sinTheta_O (- (* sinTheta_O (- (* -1 (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (+ (* -1/2 (/ (pow sinTheta_i 2) (* (pow v 2) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))) (* 1/4 (/ (pow sinTheta_i 2) (* (pow v 2) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))))) v)) (+ (* -1/4 (/ (pow sinTheta_i 3) (* (pow v 3) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))) (* 1/12 (/ (pow sinTheta_i 3) (* (pow v 3) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))))))) (+ (* -1/2 (/ (pow sinTheta_i 2) (* (pow v 2) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))) (* 1/4 (/ (pow sinTheta_i 2) (* (pow v 2) (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))))))) (* 1/2 (/ sinTheta_i (* v (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))))) (* 1/2 (/ 1 (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) 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))))))))
(+ (* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (* sinTheta_O (+ (* -1/2 (/ (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) (pow v 2))) (* 1/4 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (pow v 3))))))
(+ (* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (* sinTheta_O (+ (* -1/2 (/ (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) (pow v 2))) (* sinTheta_O (+ (* -1/12 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (pow v 4))) (* 1/4 (/ (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) (pow v 3))))))))
(+ (* 2 (/ v (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (* sinTheta_O (+ (* -2 (* sinTheta_O (+ (* -1 (/ (pow sinTheta_i 2) (* v (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))))) (* 1/2 (/ (pow sinTheta_i 2) (* v (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))))))) (* 2 (/ sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))))))
(+ (* 2 (/ v (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (* sinTheta_O (+ (* 2 (/ sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (* sinTheta_O (+ (* -2 (* sinTheta_O (+ (* -1/6 (/ (pow sinTheta_i 3) (* (pow v 2) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))))) (+ (* 1/2 (/ (pow sinTheta_i 3) (* (pow v 2) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))))) (/ (* sinTheta_i (+ (* -1 (/ (pow sinTheta_i 2) (* v (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))))) (* 1/2 (/ (pow sinTheta_i 2) (* v (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))))))) v))))) (* -2 (+ (* -1 (/ (pow sinTheta_i 2) (* v (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))))) (* 1/2 (/ (pow sinTheta_i 2) (* v (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 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))))))))
(+ (* 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)))))))))))))
(+ (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (/ (* cosTheta_O cosTheta_i) v))) (* v (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))))) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (/ (* cosTheta_O cosTheta_i) v)))) (* (pow v 2) (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))))))) (/ (exp (/ (* cosTheta_O cosTheta_i) v)) (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))))
(+ (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (/ (* cosTheta_O cosTheta_i) v))) (* v (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))))) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (/ (* cosTheta_O cosTheta_i) v)))) (* (pow v 3) (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (/ (* cosTheta_O cosTheta_i) v))) (* (pow v 2) (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))))))))) (/ (exp (/ (* cosTheta_O cosTheta_i) v)) (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))))
(+ (exp (/ (* cosTheta_O cosTheta_i) v)) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (/ (* cosTheta_O cosTheta_i) v))) v)) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (/ (* cosTheta_O cosTheta_i) v)))) (pow v 2))))))
(+ (exp (/ (* cosTheta_O cosTheta_i) v)) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (/ (* cosTheta_O cosTheta_i) v))) v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (/ (* cosTheta_O cosTheta_i) v)))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (/ (* cosTheta_O cosTheta_i) v))) (pow v 2))))))))
(/ (+ 1 (* sinTheta_O sinTheta_i)) sinTheta_O)
(+ (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))))))))
(* sinTheta_O (- (+ (/ 1 (* sinTheta_O v)) (+ (/ sinTheta_i v) (/ (log v) sinTheta_O))) (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)))))
(* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ (log (/ 1/2 v)) sinTheta_O) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (log (/ 1/2 v)) sinTheta_O)) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(* -1 (* sinTheta_O (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(* sinTheta_O (+ sinTheta_i (/ 1 sinTheta_O)))
(* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (+ (/ 1 sinTheta_O) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)))))
(* sinTheta_O (- (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(* sinTheta_O (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v)))
(* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))
(* -1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* -1 (/ (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))) sinTheta_O)))))
(* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
(* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
(* -1 (* sinTheta_O (- (/ 1 (* sinTheta_O v)) (* -1 (/ sinTheta_i v)))))
(* -1 (* sinTheta_O (- (* -1 sinTheta_i) (/ 1 sinTheta_O))))
(* -1 (* sinTheta_O (+ (* -1 (/ (+ 1 (/ (* cosTheta_O cosTheta_i) v)) sinTheta_O)) (/ sinTheta_i v))))
(* -1 (* sinTheta_O (- (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
(* -1 (* sinTheta_O (- (* -1 (/ sinTheta_i v)) (/ 1 (* sinTheta_O v)))))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ sinTheta_i v))))
(/ (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) v)
(/ (- (+ 1 (+ (* sinTheta_O sinTheta_i) (* v (- (log v) 6931/10000)))) (* cosTheta_O cosTheta_i)) v)
(log v)
(/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/ (- (+ (* cosTheta_O cosTheta_i) (* v (+ 6931/10000 (+ (log 1/2) (* -1 (log v)))))) (+ 1 (* sinTheta_O sinTheta_i))) v)
(* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))
(/ (- (* v (+ 6931/10000 (+ (log 1/2) (* -1 (log v))))) (+ 1 (* sinTheta_O sinTheta_i))) v)
(* 2 v)
(exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))
(/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) v)
(/ (+ v (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))) v)
(/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/ (+ 1 (* sinTheta_O sinTheta_i)) v)
(/ (+ 1 (* v (- (+ (log 2) (log v)) 6931/10000))) v)
(exp (- (* -1 (log (/ 1 v))) 6931/10000))
(+ (exp (- (* -1 (log (/ 1 v))) 6931/10000)) (/ (* (exp (- (* -1 (log (/ 1 v))) 6931/10000)) (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))) v))
(+ (exp (- (* -1 (log (/ 1 v))) 6931/10000)) (+ (* 1/2 (/ (* (exp (- (* -1 (log (/ 1 v))) 6931/10000)) (pow (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 2)) (pow v 2))) (/ (* (exp (- (* -1 (log (/ 1 v))) 6931/10000)) (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))) v)))
(+ (exp (- (* -1 (log (/ 1 v))) 6931/10000)) (+ (* 1/6 (/ (* (exp (- (* -1 (log (/ 1 v))) 6931/10000)) (pow (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 3)) (pow v 3))) (+ (* 1/2 (/ (* (exp (- (* -1 (log (/ 1 v))) 6931/10000)) (pow (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 2)) (pow v 2))) (/ (* (exp (- (* -1 (log (/ 1 v))) 6931/10000)) (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))) v))))
(/ 1/2 (exp (- (* -1 (log (/ 1 v))) 6931/10000)))
(+ (* -1/2 (/ (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) (* v (exp (- (* -1 (log (/ 1 v))) 6931/10000))))) (* 1/2 (/ 1 (exp (- (* -1 (log (/ 1 v))) 6931/10000)))))
(- (+ (* -1 (/ (+ (* -1/2 (/ (pow (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 2) (exp (- (* -1 (log (/ 1 v))) 6931/10000)))) (* 1/4 (/ (pow (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 2) (exp (- (* -1 (log (/ 1 v))) 6931/10000))))) (pow v 2))) (* 1/2 (/ 1 (exp (- (* -1 (log (/ 1 v))) 6931/10000))))) (* 1/2 (/ (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) (* v (exp (- (* -1 (log (/ 1 v))) 6931/10000))))))
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(- (* -1 (log (/ 1 v))) 6931/10000)
(- (+ (* -1 (log (/ 1 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))
(* -1 (log (/ 1 v)))
(exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v)))))
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(+ (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))))
(+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))
(- (+ 6931/10000 (+ (log 1/2) (+ (log (/ 1 v)) (/ (* cosTheta_O cosTheta_i) v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(+ 6931/10000 (+ (log 1/2) (+ (log (/ 1 v)) (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))
(* 1/2 (/ (exp 6931/10000) v))
(/ (+ (* 1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v))) v)
(/ (+ (* 1/4 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (pow v 2))) (+ (* 1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v)))) v)
(/ (+ (* 1/12 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3)) (pow v 3))) (+ (* 1/4 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (pow v 2))) (+ (* 1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v))))) v)
(* 2 (/ v (exp 6931/10000)))
(* v (+ (* -2 (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) (* v (exp 6931/10000)))) (* 2 (/ 1 (exp 6931/10000)))))
(* v (- (+ (* -1 (/ (+ (* -2 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (exp 6931/10000))) (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (exp 6931/10000))) (pow v 2))) (* 2 (/ 1 (exp 6931/10000)))) (* 2 (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) (* v (exp 6931/10000))))))
(* v (- (+ (* -1 (/ (+ (* -1 (* (+ (* -2 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (exp 6931/10000))) (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (exp 6931/10000))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))))) (+ (* -1 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3) (exp 6931/10000))) (* 1/3 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3) (exp 6931/10000))))) (pow v 3))) (* 2 (/ 1 (exp 6931/10000)))) (+ (* -2 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (* (pow v 2) (exp 6931/10000)))) (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) (* v (exp 6931/10000)))) (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (* (pow v 2) (exp 6931/10000)))))))
(* v (+ (* 2 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* v (exp 6931/10000)))) (* 2 (/ 1 (exp 6931/10000)))))
(* 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))))))
(* 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)))))))
(exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000))
(+ (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) (/ (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) v))
(+ (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) (+ (* 1/2 (/ (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) (pow v 2))) (/ (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) v)))
(+ (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) (+ (* 1/6 (/ (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) (pow v 3))) (+ (* 1/2 (/ (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) (pow v 2))) (/ (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) v))))
(/ 1 (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)))
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(- (+ 1 (/ (* cosTheta_O cosTheta_i) v)) (/ (* sinTheta_O sinTheta_i) v))
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(- (+ 1 (+ (* 1/6 (/ (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 3) (pow v 3))) (+ (* 1/2 (/ (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v)))) (/ (* sinTheta_O sinTheta_i) v))
6931/10000
(+ 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))))))
(- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)
(- (+ (log 2) (+ (* -1 (log (/ 1 v))) (/ 1 v))) 6931/10000)
(exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000))
(+ (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)) (* -1 (/ (* (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v)))
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(+ (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3)) v)) (* 1/2 (* (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)))) v)) (* (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))))) v)))
(/ 1/2 (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)))
(+ (* 1/2 (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) (* v (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000))))) (* 1/2 (/ 1 (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)))))
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(- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)
(- (+ (log -1) (+ (* -1 (log (/ -1 v))) (* -1 (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)))) 6931/10000)
(+ (log -1) (* -1 (log (/ -1 v))))
(exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v)))))
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(+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))
(+ 6931/10000 (+ (log -1/2) (+ (log (/ -1 v)) (* -1 (/ (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) v)))))
(+ 6931/10000 (+ (log -1/2) (+ (log (/ -1 v)) (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))
(* -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 (* v (- (* 2 (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) (* v (exp 6931/10000)))) (* 2 (/ 1 (exp 6931/10000))))))
(* -1 (* v (- (* -1 (/ (- (+ (* -1 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (* v (exp 6931/10000)))) (* 2 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (* v (exp 6931/10000))))) (* 2 (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) (exp 6931/10000)))) v)) (* 2 (/ 1 (exp 6931/10000))))))
(* -1 (* v (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3) (* v (exp 6931/10000)))) (+ (* 1/3 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3) (* v (exp 6931/10000)))) (/ (* (+ (* -1 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (exp 6931/10000))) (* 2 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (exp 6931/10000)))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v))) (+ (* -1 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (exp 6931/10000))) (* 2 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (exp 6931/10000))))) v)) (* 2 (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) (exp 6931/10000)))) v)) (* 2 (/ 1 (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))))))
(exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))
(+ (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)) (/ (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)) v))
(+ (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)) (* -1 (/ (+ (* -1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))) (* -1/2 (/ (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)) v))) v)))
(+ (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)) (* -1 (/ (+ (* -1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))) (* -1 (/ (+ (* 1/6 (/ (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)) v)) (* 1/2 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))) v))) v)))
(/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))
(+ (* -1 (/ (+ (* -1 (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))) (/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))) v)) (/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))))
(+ (* -1 (/ (+ (* -1 (/ (- (* 1/2 (/ (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2) (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))) (+ (* -1 (+ (* -1 (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))) (/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))))) (* 1/2 (/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))))) v)) (+ (* -1 (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))) (/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))))) v)) (/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))))
(+ (* -1 (/ (+ (* -1 (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))) (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/6 (/ (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 3) (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))) (* 1/6 (/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))))) (+ (* -1 (- (* 1/2 (/ (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2) (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))) (+ (* -1 (+ (* -1 (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))) (/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))))) (* 1/2 (/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))))))) (* 1/2 (+ (* -1 (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))) (/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))))))) v)) (* 1/2 (/ (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2) (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))))) (+ (* -1 (+ (* -1 (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))) (/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))))) (* 1/2 (/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))))) v)) (/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))))) v)) (/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))))
(+ 1 (* -1 (/ (+ (* -1 (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (* -1/2 (/ (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2) v))) v)))
(+ 1 (* -1 (/ (+ (* -1 (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (* -1 (/ (+ (* 1/6 (/ (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 3) v)) (* 1/2 (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2))) v))) 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)))
(- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)
(- (+ (log -2) (+ (* -1 (log (/ -1 v))) (/ 1 v))) 6931/10000)
Outputs
(exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))
(exp.f32 (+.f32 (log.f32 v) (-.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))))
(+ (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (* -1 (/ (* cosTheta_O (* cosTheta_i (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))) v)))
(fma.f32 (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (+.f32 (log.f32 v) (-.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))))) v) #s(literal -1 binary32) (exp.f32 (+.f32 (log.f32 v) (-.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))))
(+ (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (* cosTheta_i (+ (* -1 (/ (* cosTheta_O (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))) v)) (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))) (pow v 2))))))
(fma.f32 (fma.f32 (*.f32 (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_O) cosTheta_i) v) (/.f32 (exp.f32 (+.f32 (log.f32 v) (-.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))) v)) #s(literal 1/2 binary32) (neg.f32 (*.f32 cosTheta_O (/.f32 (exp.f32 (+.f32 (log.f32 v) (-.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))) v)))) cosTheta_i (exp.f32 (+.f32 (log.f32 v) (-.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))))
(+ (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (* cosTheta_i (+ (* -1 (/ (* cosTheta_O (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))) v)) (* cosTheta_i (+ (* -1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))) (pow v 2))))))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 (/.f32 (exp.f32 (+.f32 (log.f32 v) (-.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))) v) (/.f32 (*.f32 cosTheta_O cosTheta_O) v)) #s(literal 1/2 binary32) (*.f32 (/.f32 (*.f32 (*.f32 (pow.f32 cosTheta_O #s(literal 3 binary32)) cosTheta_i) (exp.f32 (+.f32 (log.f32 v) (-.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))))) (pow.f32 v #s(literal 3 binary32))) #s(literal -1/6 binary32))) cosTheta_i (neg.f32 (*.f32 cosTheta_O (/.f32 (exp.f32 (+.f32 (log.f32 v) (-.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))) v)))) cosTheta_i (exp.f32 (+.f32 (log.f32 v) (-.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))))
(/ 1/2 (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))
(/.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 (log.f32 v) (-.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))))
(+ (* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) (* 1/2 (/ 1 (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))))
(*.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 1 binary32)) (exp.f32 (+.f32 (log.f32 v) (-.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))))))
(+ (* cosTheta_i (- (* -1 (* cosTheta_i (+ (* -1/2 (/ (pow cosTheta_O 2) (* (pow v 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) (* 1/4 (/ (pow cosTheta_O 2) (* (pow v 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))))))) (* -1/2 (/ cosTheta_O (* v (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))))) (* 1/2 (/ 1 (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))))
(fma.f32 (-.f32 (neg.f32 (*.f32 (*.f32 (/.f32 (*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_O v)) (exp.f32 (+.f32 (log.f32 v) (-.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))))) #s(literal -1/4 binary32)) cosTheta_i)) (*.f32 (/.f32 #s(literal -1/2 binary32) (exp.f32 (+.f32 (log.f32 v) (-.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))))) (/.f32 cosTheta_O v))) cosTheta_i (/.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 (log.f32 v) (-.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))))))
(+ (* cosTheta_i (- (* cosTheta_i (- (* -1 (* cosTheta_i (+ (* -1/12 (/ (pow cosTheta_O 3) (* (pow v 3) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) (+ (* 1/4 (/ (pow cosTheta_O 3) (* (pow v 3) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) (/ (* cosTheta_O (+ (* -1/2 (/ (pow cosTheta_O 2) (* (pow v 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) (* 1/4 (/ (pow cosTheta_O 2) (* (pow v 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))))) v))))) (+ (* -1/2 (/ (pow cosTheta_O 2) (* (pow v 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) (* 1/4 (/ (pow cosTheta_O 2) (* (pow v 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))))))) (* -1/2 (/ cosTheta_O (* v (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))))) (* 1/2 (/ 1 (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))))
(fma.f32 (fma.f32 (-.f32 (neg.f32 (*.f32 (+.f32 (/.f32 (fma.f32 #s(literal -1/12 binary32) (pow.f32 cosTheta_O #s(literal 3 binary32)) (*.f32 #s(literal 1/4 binary32) (pow.f32 cosTheta_O #s(literal 3 binary32)))) (*.f32 (pow.f32 v #s(literal 3 binary32)) (exp.f32 (+.f32 (log.f32 v) (-.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))))) (*.f32 cosTheta_O (/.f32 (*.f32 (/.f32 (*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_O v)) (exp.f32 (+.f32 (log.f32 v) (-.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))))) #s(literal -1/4 binary32)) v))) cosTheta_i)) (*.f32 (/.f32 (*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_O v)) (exp.f32 (+.f32 (log.f32 v) (-.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))))) #s(literal -1/4 binary32))) cosTheta_i (*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 cosTheta_O v) (exp.f32 (+.f32 (log.f32 v) (-.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))))))) cosTheta_i (/.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 (log.f32 v) (-.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))))))
(- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)
(+.f32 (log.f32 v) (-.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))
(- (+ (log v) (+ (* -1 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 6931/10000)
(-.f32 (+.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1 binary32) cosTheta_O) cosTheta_i (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) (log.f32 v)) #s(literal 6931/10000 binary32))
(exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
(+ (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))
(fma.f32 cosTheta_O (*.f32 cosTheta_i (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) v)) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))
(+ (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))))
(fma.f32 (fma.f32 (*.f32 (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_O) cosTheta_i) v) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) v)) #s(literal 1/2 binary32) (*.f32 cosTheta_O (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) v))) cosTheta_i (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))
(+ (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))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) v) (/.f32 (*.f32 cosTheta_O cosTheta_O) v)) #s(literal 1/2 binary32) (*.f32 (/.f32 (*.f32 (*.f32 (pow.f32 cosTheta_O #s(literal 3 binary32)) cosTheta_i) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))) (pow.f32 v #s(literal 3 binary32))) #s(literal 1/6 binary32))) cosTheta_i (*.f32 cosTheta_O (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) v))) cosTheta_i (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))
(- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
(* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))
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(+ (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (* cosTheta_O (+ (* -1 (/ (* cosTheta_i (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))) v)) (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))) (pow v 2))))))
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(+ (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (* cosTheta_O (+ (* -1 (/ (* cosTheta_i (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))) v)) (* cosTheta_O (+ (* -1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))) (pow v 2))))))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 (/.f32 (exp.f32 (+.f32 (log.f32 v) (-.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))) v) (/.f32 (*.f32 cosTheta_i cosTheta_i) v)) #s(literal 1/2 binary32) (*.f32 (/.f32 (*.f32 (*.f32 cosTheta_O (pow.f32 cosTheta_i #s(literal 3 binary32))) (exp.f32 (+.f32 (log.f32 v) (-.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))))) (pow.f32 v #s(literal 3 binary32))) #s(literal -1/6 binary32))) cosTheta_O (neg.f32 (*.f32 cosTheta_i (/.f32 (exp.f32 (+.f32 (log.f32 v) (-.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))) v)))) cosTheta_O (exp.f32 (+.f32 (log.f32 v) (-.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))))
(+ (* cosTheta_O (- (* -1 (* cosTheta_O (+ (* -1/2 (/ (pow cosTheta_i 2) (* (pow v 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) (* 1/4 (/ (pow cosTheta_i 2) (* (pow v 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))))))) (* -1/2 (/ cosTheta_i (* v (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))))) (* 1/2 (/ 1 (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))))
(fma.f32 (-.f32 (neg.f32 (*.f32 (*.f32 (/.f32 (*.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_i v)) (exp.f32 (+.f32 (log.f32 v) (-.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))))) #s(literal -1/4 binary32)) cosTheta_O)) (*.f32 (/.f32 #s(literal -1/2 binary32) (exp.f32 (+.f32 (log.f32 v) (-.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))))) (/.f32 cosTheta_i v))) cosTheta_O (/.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 (log.f32 v) (-.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))))))
(+ (* cosTheta_O (- (* cosTheta_O (- (* -1 (* cosTheta_O (+ (* -1/12 (/ (pow cosTheta_i 3) (* (pow v 3) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) (+ (* 1/4 (/ (pow cosTheta_i 3) (* (pow v 3) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) (/ (* cosTheta_i (+ (* -1/2 (/ (pow cosTheta_i 2) (* (pow v 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) (* 1/4 (/ (pow cosTheta_i 2) (* (pow v 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))))) v))))) (+ (* -1/2 (/ (pow cosTheta_i 2) (* (pow v 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) (* 1/4 (/ (pow cosTheta_i 2) (* (pow v 2) (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))))))) (* -1/2 (/ cosTheta_i (* v (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))))) (* 1/2 (/ 1 (exp (- (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))))
(fma.f32 (fma.f32 (-.f32 (neg.f32 (*.f32 (+.f32 (/.f32 (fma.f32 #s(literal -1/12 binary32) (pow.f32 cosTheta_i #s(literal 3 binary32)) (*.f32 #s(literal 1/4 binary32) (pow.f32 cosTheta_i #s(literal 3 binary32)))) (*.f32 (pow.f32 v #s(literal 3 binary32)) (exp.f32 (+.f32 (log.f32 v) (-.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))))) (*.f32 cosTheta_i (/.f32 (*.f32 (/.f32 (*.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_i v)) (exp.f32 (+.f32 (log.f32 v) (-.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))))) #s(literal -1/4 binary32)) v))) cosTheta_O)) (*.f32 (/.f32 (*.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_i v)) (exp.f32 (+.f32 (log.f32 v) (-.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))))) #s(literal -1/4 binary32))) cosTheta_O (*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 cosTheta_i v) (exp.f32 (+.f32 (log.f32 v) (-.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))))))) cosTheta_O (/.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 (log.f32 v) (-.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))))))
(+ (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))))
(fma.f32 (fma.f32 (*.f32 (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i cosTheta_i)) v) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) v)) #s(literal 1/2 binary32) (*.f32 cosTheta_i (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) v))) cosTheta_O (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))
(+ (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))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) v) (/.f32 (*.f32 cosTheta_i cosTheta_i) v)) #s(literal 1/2 binary32) (*.f32 (/.f32 (*.f32 (*.f32 cosTheta_O (pow.f32 cosTheta_i #s(literal 3 binary32))) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))) (pow.f32 v #s(literal 3 binary32))) #s(literal 1/6 binary32))) cosTheta_O (*.f32 cosTheta_i (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) v))) cosTheta_O (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))
(+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* cosTheta_O (+ (* 1/4 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))))
(fma.f32 (fma.f32 (*.f32 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))) #s(literal 1/2 binary32) (*.f32 (/.f32 (*.f32 (*.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)))) (pow.f32 v #s(literal 3 binary32))) #s(literal 1/4 binary32))) cosTheta_O (*.f32 (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) v) #s(literal 1/2 binary32)))
(+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))) (* cosTheta_O (+ (* 1/12 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 4))) (* 1/4 (/ (* (pow cosTheta_i 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 3))))))))
(fma.f32 (fma.f32 (fma.f32 (/.f32 (*.f32 (*.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)))) (pow.f32 v #s(literal 3 binary32))) #s(literal 1/4 binary32) (*.f32 (/.f32 (*.f32 (*.f32 cosTheta_O (pow.f32 cosTheta_i #s(literal 3 binary32))) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) (pow.f32 v #s(literal 4 binary32))) #s(literal 1/12 binary32))) cosTheta_O (*.f32 (*.f32 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))) #s(literal 1/2 binary32))) cosTheta_O (*.f32 (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) v) #s(literal 1/2 binary32)))
(+ (* 2 (/ v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* cosTheta_O (+ (* -2 (* cosTheta_O (+ (* -1 (/ (pow cosTheta_i 2) (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* 1/2 (/ (pow cosTheta_i 2) (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))) (* -2 (/ cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))
(fma.f32 (*.f32 #s(literal -2 binary32) (fma.f32 (*.f32 (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_i) v) (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)) 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)))))) cosTheta_O (/.f32 (*.f32 #s(literal 2 binary32) v) (exp.f32 (-.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) (/ (* sinTheta_O sinTheta_i) v)))))) (* cosTheta_O (+ (* -2 (/ cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* cosTheta_O (+ (* -2 (* cosTheta_O (+ (* -1 (/ (* cosTheta_i (+ (* -1 (/ (pow cosTheta_i 2) (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* 1/2 (/ (pow cosTheta_i 2) (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) v)) (+ (* -1/2 (/ (pow cosTheta_i 3) (* (pow v 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* 1/6 (/ (pow cosTheta_i 3) (* (pow v 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))))) (* -2 (+ (* -1 (/ (pow cosTheta_i 2) (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* 1/2 (/ (pow cosTheta_i 2) (* v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))))))))
(fma.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (fma.f32 (fma.f32 (/.f32 (pow.f32 cosTheta_i #s(literal 3 binary32)) (*.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (*.f32 v v))) #s(literal -1/3 binary32) (neg.f32 (*.f32 cosTheta_i (/.f32 (*.f32 (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_i) v) (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)) v)))) cosTheta_O (*.f32 (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_i) v) (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)))) cosTheta_O (/.f32 (*.f32 #s(literal -2 binary32) cosTheta_i) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))) cosTheta_O (/.f32 (*.f32 #s(literal 2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))
(+ (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))))) (/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000)))))) (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))))
(fma.f32 (fma.f32 (/.f32 cosTheta_i v) (exp.f32 (-.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (+.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))) (*.f32 (*.f32 (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i cosTheta_i)) (*.f32 v v)) (exp.f32 (-.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (+.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))))) #s(literal 1/2 binary32))) cosTheta_O (exp.f32 (-.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (+.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))))
(+ (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 3) (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))))))) (/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000)))))) (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 cosTheta_O (*.f32 (pow.f32 (/.f32 cosTheta_i v) #s(literal 3 binary32)) (exp.f32 (-.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (+.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))))) #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_i v)) (exp.f32 (-.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (+.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))))) #s(literal 1/2 binary32))) cosTheta_O (*.f32 (/.f32 cosTheta_i v) (exp.f32 (-.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (+.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))))) cosTheta_O (exp.f32 (-.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (+.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))))
(+ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))) (/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v))))
(fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (*.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i cosTheta_i)) (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v) (*.f32 cosTheta_i (/.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) v))) cosTheta_O (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(+ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))))) (/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v))))
(fma.f32 (fma.f32 (fma.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_i) (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) (*.f32 v v)) #s(literal 1/2 binary32) (*.f32 (/.f32 (*.f32 (*.f32 cosTheta_O (pow.f32 cosTheta_i #s(literal 3 binary32))) (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) (pow.f32 v #s(literal 3 binary32))) #s(literal 1/6 binary32))) cosTheta_O (*.f32 cosTheta_i (/.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) v))) cosTheta_O (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_O (- (+ (/ 1 (* cosTheta_O v)) (+ (/ (log v) cosTheta_O) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))) (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v))))
(*.f32 (-.f32 (+.f32 (fma.f32 (/.f32 sinTheta_i cosTheta_O) (/.f32 sinTheta_O v) (/.f32 (log.f32 v) cosTheta_O)) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_O v))) (+.f32 (/.f32 cosTheta_i v) (/.f32 #s(literal 6931/10000 binary32) cosTheta_O))) cosTheta_O)
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (+ (/ cosTheta_i v) (/ (log (/ 1/2 v)) cosTheta_O))) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(*.f32 (-.f32 (+.f32 (+.f32 (/.f32 cosTheta_i v) (/.f32 #s(literal 6931/10000 binary32) cosTheta_O)) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (*.f32 cosTheta_O v))) cosTheta_O)
(* cosTheta_O (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (+ (/ 1 cosTheta_O) (/ cosTheta_i v))))
(*.f32 (fma.f32 (/.f32 (neg.f32 sinTheta_O) cosTheta_O) (/.f32 sinTheta_i v) (+.f32 (/.f32 cosTheta_i v) (/.f32 #s(literal 1 binary32) cosTheta_O))) cosTheta_O)
(* cosTheta_O (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v)))
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(* 2 (/ v (exp 6931/10000)))
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(* v (- (+ (* -1 (/ (+ (* -1 (* (+ (* -2 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (exp 6931/10000))) (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (exp 6931/10000))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))))) (+ (* -1 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3) (exp 6931/10000))) (* 1/3 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3) (exp 6931/10000))))) (pow v 3))) (* 2 (/ 1 (exp 6931/10000)))) (+ (* -2 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (* (pow v 2) (exp 6931/10000)))) (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) (* v (exp 6931/10000)))) (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (* (pow v 2) (exp 6931/10000)))))))
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(* v (+ (* 2 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* v (exp 6931/10000)))) (* 2 (/ 1 (exp 6931/10000)))))
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(exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000))
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(/ 1 (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)))
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6931/10000
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(+ (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)) (* -1 (/ (+ (* -1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))) (* -1/2 (/ (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)) v))) v)))
(fma.f32 (/.f32 (fma.f32 (/.f32 (exp.f32 (-.f32 (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal -1 binary32) (log.f32 #s(literal -2 binary32))) #s(literal 6931/10000 binary32))) v) #s(literal -1/2 binary32) (neg.f32 (exp.f32 (-.f32 (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal -1 binary32) (log.f32 #s(literal -2 binary32))) #s(literal 6931/10000 binary32))))) v) #s(literal -1 binary32) (exp.f32 (-.f32 (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal -1 binary32) (log.f32 #s(literal -2 binary32))) #s(literal 6931/10000 binary32))))
(+ (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)) (* -1 (/ (+ (* -1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))) (* -1 (/ (+ (* 1/6 (/ (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)) v)) (* 1/2 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))) v))) v)))
(fma.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 (exp.f32 (-.f32 (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal -1 binary32) (log.f32 #s(literal -2 binary32))) #s(literal 6931/10000 binary32))) v) #s(literal 1/6 binary32) (*.f32 (exp.f32 (-.f32 (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal -1 binary32) (log.f32 #s(literal -2 binary32))) #s(literal 6931/10000 binary32))) #s(literal 1/2 binary32))) v) #s(literal -1 binary32) (neg.f32 (exp.f32 (-.f32 (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal -1 binary32) (log.f32 #s(literal -2 binary32))) #s(literal 6931/10000 binary32))))) v) #s(literal -1 binary32) (exp.f32 (-.f32 (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal -1 binary32) (log.f32 #s(literal -2 binary32))) #s(literal 6931/10000 binary32))))
(/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))
(exp.f32 (neg.f32 (-.f32 (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal -1 binary32) (log.f32 #s(literal -2 binary32))) #s(literal 6931/10000 binary32))))
(+ (* -1 (/ (+ (* -1 (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))) (/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))) v)) (/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))))
(fma.f32 (/.f32 (/.f32 (fma.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) #s(literal -1 binary32) #s(literal 1 binary32)) (exp.f32 (-.f32 (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal -1 binary32) (log.f32 #s(literal -2 binary32))) #s(literal 6931/10000 binary32)))) v) #s(literal -1 binary32) (exp.f32 (neg.f32 (-.f32 (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal -1 binary32) (log.f32 #s(literal -2 binary32))) #s(literal 6931/10000 binary32)))))
(+ (* -1 (/ (+ (* -1 (/ (- (* 1/2 (/ (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2) (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))) (+ (* -1 (+ (* -1 (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))) (/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))))) (* 1/2 (/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))))) v)) (+ (* -1 (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))) (/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))))) v)) (/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))))
(fma.f32 (/.f32 (fma.f32 (/.f32 (-.f32 (/.f32 (*.f32 (pow.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) #s(literal 2 binary32)) #s(literal 1/2 binary32)) (exp.f32 (-.f32 (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal -1 binary32) (log.f32 #s(literal -2 binary32))) #s(literal 6931/10000 binary32)))) (fma.f32 (/.f32 (fma.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) #s(literal -1 binary32) #s(literal 1 binary32)) (exp.f32 (-.f32 (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal -1 binary32) (log.f32 #s(literal -2 binary32))) #s(literal 6931/10000 binary32)))) #s(literal -1 binary32) (/.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal -1 binary32) (log.f32 #s(literal -2 binary32))) #s(literal 6931/10000 binary32)))))) v) #s(literal -1 binary32) (/.f32 (fma.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) #s(literal -1 binary32) #s(literal 1 binary32)) (exp.f32 (-.f32 (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal -1 binary32) (log.f32 #s(literal -2 binary32))) #s(literal 6931/10000 binary32))))) v) #s(literal -1 binary32) (exp.f32 (neg.f32 (-.f32 (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal -1 binary32) (log.f32 #s(literal -2 binary32))) #s(literal 6931/10000 binary32)))))
(+ (* -1 (/ (+ (* -1 (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))) (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/6 (/ (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 3) (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))) (* 1/6 (/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))))) (+ (* -1 (- (* 1/2 (/ (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2) (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))) (+ (* -1 (+ (* -1 (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))) (/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))))) (* 1/2 (/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))))))) (* 1/2 (+ (* -1 (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))) (/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))))))) v)) (* 1/2 (/ (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2) (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))))) (+ (* -1 (+ (* -1 (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))) (/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))))) (* 1/2 (/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))))) v)) (/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))))) v)) (/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))))
(fma.f32 (/.f32 (fma.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) (exp.f32 (-.f32 (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal -1 binary32) (log.f32 #s(literal -2 binary32))) #s(literal 6931/10000 binary32)))) #s(literal -1 binary32) (fma.f32 (/.f32 (-.f32 (fma.f32 (/.f32 (pow.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) #s(literal 2 binary32)) (exp.f32 (-.f32 (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal -1 binary32) (log.f32 #s(literal -2 binary32))) #s(literal 6931/10000 binary32)))) #s(literal 1/2 binary32) (neg.f32 (/.f32 (-.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (pow.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) #s(literal 3 binary32)) #s(literal 1/6 binary32)) (exp.f32 (-.f32 (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal -1 binary32) (log.f32 #s(literal -2 binary32))) #s(literal 6931/10000 binary32)))) (fma.f32 (/.f32 (fma.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) #s(literal -1 binary32) #s(literal 1 binary32)) (exp.f32 (-.f32 (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal -1 binary32) (log.f32 #s(literal -2 binary32))) #s(literal 6931/10000 binary32)))) #s(literal 1/2 binary32) (neg.f32 (-.f32 (/.f32 (*.f32 (pow.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) #s(literal 2 binary32)) #s(literal 1/2 binary32)) (exp.f32 (-.f32 (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal -1 binary32) (log.f32 #s(literal -2 binary32))) #s(literal 6931/10000 binary32)))) (fma.f32 (/.f32 (fma.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) #s(literal -1 binary32) #s(literal 1 binary32)) (exp.f32 (-.f32 (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal -1 binary32) (log.f32 #s(literal -2 binary32))) #s(literal 6931/10000 binary32)))) #s(literal -1 binary32) (/.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal -1 binary32) (log.f32 #s(literal -2 binary32))) #s(literal 6931/10000 binary32))))))))) v))) (fma.f32 (/.f32 (fma.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) #s(literal -1 binary32) #s(literal 1 binary32)) (exp.f32 (-.f32 (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal -1 binary32) (log.f32 #s(literal -2 binary32))) #s(literal 6931/10000 binary32)))) #s(literal -1 binary32) (/.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal -1 binary32) (log.f32 #s(literal -2 binary32))) #s(literal 6931/10000 binary32)))))) v) #s(literal -1 binary32) (exp.f32 (neg.f32 (-.f32 (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal -1 binary32) (log.f32 #s(literal -2 binary32))) #s(literal 6931/10000 binary32)))))) v) #s(literal -1 binary32) (exp.f32 (neg.f32 (-.f32 (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal -1 binary32) (log.f32 #s(literal -2 binary32))) #s(literal 6931/10000 binary32)))))
(+ 1 (* -1 (/ (+ (* -1 (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (* -1/2 (/ (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2) v))) v)))
(fma.f32 (/.f32 (fma.f32 (/.f32 (pow.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) #s(literal 2 binary32)) v) #s(literal -1/2 binary32) (neg.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)))) v) #s(literal -1 binary32) #s(literal 1 binary32))
(+ 1 (* -1 (/ (+ (* -1 (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (* -1 (/ (+ (* 1/6 (/ (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 3) v)) (* 1/2 (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2))) v))) v)))
(fma.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 (pow.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) #s(literal 3 binary32)) v) #s(literal 1/6 binary32) (*.f32 (pow.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) #s(literal 2 binary32)) #s(literal 1/2 binary32))) v) #s(literal -1 binary32) (neg.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)))) v) #s(literal -1 binary32) #s(literal 1 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)))
(fma.f32 (/.f32 (fma.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 2 binary32)) v)) #s(literal -1/2 binary32) (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) v) #s(literal -1 binary32) (exp.f32 #s(literal 6931/10000 binary32)))
(+ (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)))
(fma.f32 (/.f32 (fma.f32 (exp.f32 #s(literal 6931/10000 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 (/.f32 (fma.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 3 binary32)) v)) #s(literal -1/6 binary32) (*.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)) (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 2 binary32)))) v))) v) #s(literal -1 binary32) (exp.f32 #s(literal 6931/10000 binary32)))
(- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)
(-.f32 (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal -1 binary32) (log.f32 #s(literal -2 binary32))) #s(literal 6931/10000 binary32))
(- (+ (log -2) (+ (* -1 (log (/ -1 v))) (/ 1 v))) 6931/10000)
(-.f32 (+.f32 (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) v)) (log.f32 #s(literal -2 binary32))) #s(literal 6931/10000 binary32))

rewrite167.0ms (1.5%)

Memory
-19.5MiB live, 258.8MiB allocated; 26ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
083581
0115541
1542537
24037523
08234523
Stop Event
iter limit
node limit
iter limit
Counts
27 → 252
Calls
Call 1
Inputs
(exp.f32 (-.f32 (log.f32 v) #s(approx (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000) (-.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 (log.f32 v) #s(approx (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))))
(-.f32 (log.f32 v) #s(approx (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
(log.f32 v)
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (neg.f32 (/.f32 #s(approx (+ 1 (* sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)))))
#s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (neg.f32 (/.f32 #s(approx (+ 1 (* sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v))))
#s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (neg.f32 (/.f32 #s(approx (+ 1 (* sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)))
(neg.f32 (/.f32 #s(approx (+ 1 (* sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v))
(*.f32 (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) sinTheta_i) sinTheta_O)
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (neg.f32 (/.f32 #s(approx (+ 1 (* sinTheta_O sinTheta_i)) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) sinTheta_i) sinTheta_O)) v)))))
#s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (neg.f32 (/.f32 #s(approx (+ 1 (* sinTheta_O sinTheta_i)) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) sinTheta_i) sinTheta_O)) v))))
#s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (neg.f32 (/.f32 #s(approx (+ 1 (* sinTheta_O sinTheta_i)) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) sinTheta_i) sinTheta_O)) v)))
(/.f32 #s(literal 1 binary32) #s(approx (/ 1 (* (exp (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v))) (/ 1/2 v))) (/.f32 (*.f32 #s(literal 2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))))
#s(approx (/ 1 (* (exp (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v))) (/ 1/2 v))) (/.f32 (*.f32 #s(literal 2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))
(/.f32 (*.f32 #s(literal 2 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 2 binary32) v)
(exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v)))))
(/.f32 #s(approx (exp (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v)) (+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (neg.f32 sinTheta_O) sinTheta_i (*.f32 cosTheta_O cosTheta_i)) v))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v))))))
#s(approx (exp (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v)) (+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (neg.f32 sinTheta_O) sinTheta_i (*.f32 cosTheta_O cosTheta_i)) v)))
(+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (neg.f32 sinTheta_O) sinTheta_i (*.f32 cosTheta_O cosTheta_i)) v))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))
#s(approx (+ 1 (* sinTheta_O sinTheta_i)) #s(literal 1 binary32))
(/.f32 #s(approx (+ 1 (* sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)
(+.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) sinTheta_i)
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
(/.f32 (fma.f32 (neg.f32 sinTheta_O) sinTheta_i (*.f32 cosTheta_O cosTheta_i)) v)
(-.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v))))
Outputs
(/.f32 (exp.f32 (/.f32 (pow.f32 (log.f32 v) #s(literal 2 binary32)) (+.f32 #s(approx (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (log.f32 v)))) (exp.f32 (/.f32 (pow.f32 #s(approx (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) #s(literal 2 binary32)) (+.f32 #s(approx (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (log.f32 v)))))
(/.f32 (exp.f32 (/.f32 (pow.f32 (log.f32 v) #s(literal 3 binary32)) (fma.f32 #s(approx (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (+.f32 #s(approx (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (log.f32 v)) (pow.f32 (log.f32 v) #s(literal 2 binary32))))) (exp.f32 (/.f32 (pow.f32 #s(approx (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) #s(literal 3 binary32)) (fma.f32 #s(approx (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (+.f32 #s(approx (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (log.f32 v)) (pow.f32 (log.f32 v) #s(literal 2 binary32))))))
(/.f32 (+.f32 (pow.f32 (cosh.f32 (-.f32 (log.f32 v) #s(approx (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))) #s(literal 3 binary32)) (pow.f32 (sinh.f32 (-.f32 (log.f32 v) #s(approx (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))) #s(literal 3 binary32))) (+.f32 (pow.f32 (cosh.f32 (-.f32 (log.f32 v) #s(approx (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))) #s(literal 2 binary32)) (-.f32 (pow.f32 (sinh.f32 (-.f32 (log.f32 v) #s(approx (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))) #s(literal 2 binary32)) (*.f32 (cosh.f32 (-.f32 (log.f32 v) #s(approx (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))) (sinh.f32 (-.f32 (log.f32 v) #s(approx (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))))))
(/.f32 (neg.f32 v) (neg.f32 (exp.f32 #s(approx (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 v (exp.f32 #s(approx (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))))
(/.f32 v (exp.f32 #s(approx (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))
(+.f32 (sinh.f32 (-.f32 (log.f32 v) #s(approx (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))) (cosh.f32 (-.f32 (log.f32 v) #s(approx (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))))
(+.f32 (cosh.f32 (-.f32 (log.f32 v) #s(approx (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))) (sinh.f32 (-.f32 (log.f32 v) #s(approx (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))))
(exp.f32 (-.f32 (log.f32 v) #s(approx (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000) (-.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) v) (exp.f32 #s(approx (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))
(/.f32 #s(literal -1/2 binary32) (/.f32 (neg.f32 v) (exp.f32 #s(approx (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))))
(/.f32 #s(literal 1/2 binary32) (neg.f32 (/.f32 (neg.f32 v) (exp.f32 #s(approx (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (exp.f32 #s(approx (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))))
(exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(approx (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))
(neg.f32 (/.f32 #s(literal -1/2 binary32) (/.f32 v (exp.f32 #s(approx (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (log.f32 v) #s(literal 2 binary32)) (pow.f32 #s(approx (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) #s(literal 2 binary32)))) (neg.f32 (+.f32 #s(approx (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (log.f32 v))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (log.f32 v) #s(literal 3 binary32)) (pow.f32 #s(approx (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) #s(literal 3 binary32)))) (neg.f32 (fma.f32 #s(approx (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (+.f32 #s(approx (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (log.f32 v)) (pow.f32 (log.f32 v) #s(literal 2 binary32)))))
(/.f32 (-.f32 (pow.f32 (log.f32 v) #s(literal 2 binary32)) (pow.f32 #s(approx (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) #s(literal 2 binary32))) (+.f32 #s(approx (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (log.f32 v)))
(/.f32 (-.f32 (pow.f32 (log.f32 v) #s(literal 3 binary32)) (pow.f32 #s(approx (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) #s(literal 3 binary32))) (fma.f32 #s(approx (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (+.f32 #s(approx (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (log.f32 v)) (pow.f32 (log.f32 v) #s(literal 2 binary32))))
(-.f32 (/.f32 (pow.f32 (log.f32 v) #s(literal 2 binary32)) (+.f32 #s(approx (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (log.f32 v))) (/.f32 (pow.f32 #s(approx (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) #s(literal 2 binary32)) (+.f32 #s(approx (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (log.f32 v))))
(-.f32 (/.f32 (pow.f32 (log.f32 v) #s(literal 3 binary32)) (fma.f32 #s(approx (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (+.f32 #s(approx (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (log.f32 v)) (pow.f32 (log.f32 v) #s(literal 2 binary32)))) (/.f32 (pow.f32 #s(approx (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) #s(literal 3 binary32)) (fma.f32 #s(approx (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (+.f32 #s(approx (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (log.f32 v)) (pow.f32 (log.f32 v) #s(literal 2 binary32)))))
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(log.f32 v)
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(/.f32 (-.f32 (pow.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 2 binary32)) (pow.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(literal 2 binary32))) (-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (*.f32 (/.f32 cosTheta_O v) cosTheta_i)))
(/.f32 (+.f32 (pow.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 3 binary32)) (pow.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(literal 3 binary32))) (+.f32 (pow.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(literal 2 binary32)) (*.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (*.f32 (/.f32 cosTheta_O v) cosTheta_i)))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(literal 2 binary32)) (pow.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 2 binary32)))) (neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i (*.f32 cosTheta_O cosTheta_i)) v)))
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(literal 3 binary32)) (pow.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) (/.f32 (fma.f32 sinTheta_O sinTheta_i (*.f32 cosTheta_O cosTheta_i)) v) (pow.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(literal 2 binary32)))))
(/.f32 (neg.f32 (neg.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)))) (neg.f32 (neg.f32 v)))
(/.f32 (neg.f32 (-.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) v) (*.f32 (*.f32 sinTheta_O sinTheta_i) v))) (neg.f32 (*.f32 v v)))
(/.f32 (-.f32 (*.f32 (*.f32 (neg.f32 cosTheta_i) cosTheta_O) (neg.f32 v)) (*.f32 (neg.f32 v) (*.f32 (neg.f32 sinTheta_O) sinTheta_i))) (*.f32 v v))
(/.f32 (-.f32 (*.f32 (*.f32 (neg.f32 cosTheta_i) cosTheta_O) v) (*.f32 (neg.f32 v) (*.f32 sinTheta_O sinTheta_i))) (*.f32 (neg.f32 v) v))
(/.f32 (-.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (neg.f32 v)) (*.f32 v (*.f32 (neg.f32 sinTheta_O) sinTheta_i))) (*.f32 v (neg.f32 v)))
(/.f32 (fma.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) (neg.f32 v) (*.f32 v (*.f32 (neg.f32 cosTheta_i) cosTheta_O))) (*.f32 v (neg.f32 v)))
(/.f32 (fma.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v (*.f32 (*.f32 cosTheta_O cosTheta_i) v)) (*.f32 v v))
(/.f32 (-.f32 (*.f32 (neg.f32 cosTheta_i) cosTheta_O) (*.f32 (neg.f32 sinTheta_O) sinTheta_i)) (neg.f32 v))
(/.f32 (-.f32 (pow.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 2 binary32)) (pow.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 2 binary32))) (*.f32 (fma.f32 sinTheta_O sinTheta_i (*.f32 cosTheta_O cosTheta_i)) v))
(/.f32 (-.f32 (pow.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(literal 2 binary32)) (pow.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 2 binary32))) (/.f32 (fma.f32 sinTheta_O sinTheta_i (*.f32 cosTheta_O cosTheta_i)) v))
(/.f32 (-.f32 (pow.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 2 binary32)) (pow.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 2 binary32))) (*.f32 (-.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v))
(/.f32 (-.f32 (pow.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 3 binary32)) (pow.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 3 binary32))) (*.f32 (fma.f32 (*.f32 sinTheta_O sinTheta_i) (fma.f32 sinTheta_O sinTheta_i (*.f32 cosTheta_O cosTheta_i)) (pow.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 2 binary32))) v))
(/.f32 (-.f32 (pow.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(literal 3 binary32)) (pow.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 3 binary32))) (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) (/.f32 (fma.f32 sinTheta_O sinTheta_i (*.f32 cosTheta_O cosTheta_i)) v) (pow.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(literal 2 binary32))))
(/.f32 (+.f32 (pow.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 3 binary32)) (pow.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 3 binary32))) (*.f32 (fma.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i (*.f32 cosTheta_O cosTheta_i)) (pow.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 2 binary32))) v))
(/.f32 (neg.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))) (neg.f32 v))
(/.f32 (-.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) v) (*.f32 (*.f32 sinTheta_O sinTheta_i) v)) (*.f32 v v))
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)
(-.f32 (/.f32 (pow.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(literal 2 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i (*.f32 cosTheta_O cosTheta_i)) v)) (/.f32 (pow.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 2 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i (*.f32 cosTheta_O cosTheta_i)) v)))
(-.f32 (/.f32 (pow.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(literal 3 binary32)) (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) (/.f32 (fma.f32 sinTheta_O sinTheta_i (*.f32 cosTheta_O cosTheta_i)) v) (pow.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(literal 2 binary32)))) (/.f32 (pow.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 3 binary32)) (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) (/.f32 (fma.f32 sinTheta_O sinTheta_i (*.f32 cosTheta_O cosTheta_i)) v) (pow.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(literal 2 binary32)))))
(-.f32 (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) v) (*.f32 v v)) (/.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) v) (*.f32 v v)))
(-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 (*.f32 (neg.f32 cosTheta_i) cosTheta_O) v))
(-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (*.f32 (neg.f32 cosTheta_i) (/.f32 cosTheta_O v)))
(-.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(fma.f32 (/.f32 cosTheta_O v) cosTheta_i (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v)))
(fma.f32 (/.f32 cosTheta_O v) cosTheta_i (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v))
(fma.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) #s(literal 1 binary32) (*.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(literal 1 binary32)))
(fma.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v) (*.f32 (/.f32 cosTheta_O v) cosTheta_i))
(fma.f32 #s(literal 1 binary32) (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (*.f32 #s(literal 1 binary32) (*.f32 (/.f32 cosTheta_O v) cosTheta_i)))
(fma.f32 sinTheta_i (/.f32 (neg.f32 sinTheta_O) v) (*.f32 (/.f32 cosTheta_O v) cosTheta_i))
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v)))
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v))
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v)))
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v))
(+.f32 (*.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) #s(literal 1 binary32)) (*.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(literal 1 binary32)))
(+.f32 (*.f32 #s(literal 1 binary32) (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v)) (*.f32 #s(literal 1 binary32) (*.f32 (/.f32 cosTheta_O v) cosTheta_i)))
(+.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (*.f32 (/.f32 cosTheta_O v) cosTheta_i))
(+.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v)))
(+.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v))
(neg.f32 (/.f32 (neg.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))) v))
(neg.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) (neg.f32 v)))
(/.f32 (-.f32 (pow.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)) #s(literal 2 binary32)) (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))) (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)) (log.f32 (*.f32 #s(literal 2 binary32) v))))
(/.f32 (+.f32 (pow.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 3 binary32))) (+.f32 (pow.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)) #s(literal 2 binary32)) (-.f32 (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)) (log.f32 (*.f32 #s(literal 2 binary32) v))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 v #s(literal -2 binary32)) (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v))) #s(literal 2 binary32)))) (neg.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)) (log.f32 (*.f32 #s(literal 2 binary32) v)))))
(/.f32 (neg.f32 (-.f32 (pow.f32 v #s(literal -3 binary32)) (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v))) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v))) (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)) (log.f32 (*.f32 #s(literal 2 binary32) v))) (pow.f32 v #s(literal -2 binary32)))))
(/.f32 (-.f32 (*.f32 #s(literal -1 binary32) (+.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 6931/10000 binary32))) (*.f32 (neg.f32 v) (-.f32 #s(literal 48038761/100000000 binary32) (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))))) (*.f32 (neg.f32 v) (+.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 6931/10000 binary32))))
(/.f32 (-.f32 (*.f32 #s(literal -1 binary32) (fma.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) (+.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 6931/10000 binary32)) #s(literal 48038761/100000000 binary32))) (*.f32 (neg.f32 v) (-.f32 #s(literal 332956652491/1000000000000 binary32) (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 3 binary32))))) (*.f32 (neg.f32 v) (fma.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) (+.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 6931/10000 binary32)) #s(literal 48038761/100000000 binary32))))
(/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 6931/10000 binary32))) (*.f32 v (-.f32 #s(literal 48038761/100000000 binary32) (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))))) (*.f32 v (+.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 6931/10000 binary32))))
(/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (fma.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) (+.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 6931/10000 binary32)) #s(literal 48038761/100000000 binary32))) (*.f32 v (-.f32 #s(literal 332956652491/1000000000000 binary32) (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 3 binary32))))) (*.f32 v (fma.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) (+.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 6931/10000 binary32)) #s(literal 48038761/100000000 binary32))))
(/.f32 (-.f32 (pow.f32 v #s(literal -2 binary32)) (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v))) #s(literal 2 binary32))) (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)) (log.f32 (*.f32 #s(literal 2 binary32) v))))
(/.f32 (-.f32 (pow.f32 v #s(literal -3 binary32)) (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v))) #s(literal 3 binary32))) (fma.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v))) (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)) (log.f32 (*.f32 #s(literal 2 binary32) v))) (pow.f32 v #s(literal -2 binary32))))
(-.f32 (/.f32 (pow.f32 v #s(literal -2 binary32)) (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)) (log.f32 (*.f32 #s(literal 2 binary32) v)))) (/.f32 (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v))) #s(literal 2 binary32)) (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)) (log.f32 (*.f32 #s(literal 2 binary32) v)))))
(-.f32 (/.f32 (pow.f32 v #s(literal -3 binary32)) (fma.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v))) (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)) (log.f32 (*.f32 #s(literal 2 binary32) v))) (pow.f32 v #s(literal -2 binary32)))) (/.f32 (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v))) #s(literal 3 binary32)) (fma.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v))) (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)) (log.f32 (*.f32 #s(literal 2 binary32) v))) (pow.f32 v #s(literal -2 binary32)))))
(-.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v))))
(+.f32 (+.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)) (log.f32 #s(literal 2 binary32))) (log.f32 v))
(+.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)) (log.f32 (*.f32 #s(literal 2 binary32) v)))
(+.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))

eval108.0ms (0.9%)

Memory
-14.3MiB live, 234.8MiB allocated; 29ms collecting garbage
Compiler

Compiled 33 247 to 3 519 computations (89.4% saved)

prune28.0ms (0.2%)

Memory
27.4MiB live, 74.5MiB allocated; 2ms collecting garbage
Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New5588566
Fresh3710
Picked415
Done000
Total56516581
Accuracy
99.9%
Counts
581 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
88.5%
(/.f32 (exp.f32 #s(approx (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 v (+.f32 (log.f32 #s(literal 1/2 binary32)) (neg.f32 (log.f32 v))))) (*.f32 sinTheta_O sinTheta_i)) v))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
99.8%
(/.f32 #s(approx (exp (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v)) (+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (neg.f32 sinTheta_O) sinTheta_i (*.f32 cosTheta_O cosTheta_i)) v))) (*.f32 (exp.f32 (+.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)) (log.f32 #s(literal 2 binary32)))) v))
99.8%
(/.f32 #s(approx (exp (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v)) (+.f32 #s(literal 1 binary32) #s(approx (/ (+ (* (neg sinTheta_O) sinTheta_i) (* cosTheta_O cosTheta_i)) v) (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v))))))
52.1%
(/.f32 #s(literal 1 binary32) #s(approx (/ 1 (* (exp (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v))) (/ 1/2 v))) (/.f32 (*.f32 #s(literal 2 binary32) v) (/.f32 (exp.f32 (/.f32 #s(literal 332956652491/1000000000000 binary32) (fma.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) #s(literal 48038761/100000000 binary32)))) (exp.f32 (/.f32 (pow.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 3 binary32)) (fma.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) #s(literal 48038761/100000000 binary32))))))))
99.8%
(/.f32 #s(literal 1 binary32) #s(approx (/ 1 (* (exp (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v))) (/ 1/2 v))) (*.f32 (/.f32 (*.f32 #s(literal 2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))
99.8%
(/.f32 #s(literal 1/2 binary32) (/.f32 v (exp.f32 #s(approx (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))))
99.8%
(/.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 (log.f32 v) #s(approx (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))))
99.8%
(/.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 (log.f32 v) #s(approx (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000) #s(approx (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))))
52.1%
(*.f32 (pow.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))) (/.f32 (pow.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)) #s(literal 2 binary32)) (fma.f32 (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))) (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (pow.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)) #s(literal 2 binary32))))) (exp.f32 (/.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32)) (fma.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 2 binary32))))))
99.8%
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(approx (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))
99.8%
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (-.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v))))
98.1%
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v)))))
98.1%
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (neg.f32 (/.f32 #s(approx (+ 1 (* sinTheta_O sinTheta_i)) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_i) sinTheta_O) sinTheta_i)) v)))))
98.1%
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (neg.f32 (/.f32 #s(approx (+ 1 (* sinTheta_O sinTheta_i)) (*.f32 #s(approx (+ (/ 1 sinTheta_O) sinTheta_i) (/.f32 #s(literal 1 binary32) sinTheta_O)) sinTheta_O)) v)))))
98.1%
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (neg.f32 #s(approx (/ (+ 1 (* sinTheta_O sinTheta_i)) v) (*.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_i) sinTheta_O) v) sinTheta_i))))))
98.1%
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) #s(approx (neg (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (/.f32 #s(literal -1 binary32) v)))))
Compiler

Compiled 2 454 to 813 computations (66.9% saved)

regimes93.0ms (0.8%)

Memory
6.6MiB live, 189.5MiB allocated; 16ms collecting garbage
Counts
39 → 1
Calls
Call 1
Inputs
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) #s(approx (neg (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (/.f32 #s(literal -1 binary32) v)))))
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (neg.f32 (/.f32 #s(approx (+ 1 (* sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)))))
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))))
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)) v))
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v)))))
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (neg.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)))))
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (neg.f32 (/.f32 #s(approx (+ 1 (* sinTheta_O sinTheta_i)) (*.f32 #s(approx (+ (/ 1 sinTheta_O) sinTheta_i) (/.f32 #s(literal 1 binary32) sinTheta_O)) sinTheta_O)) v)))))
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (neg.f32 #s(approx (/ (+ 1 (* sinTheta_O sinTheta_i)) v) (*.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_i) sinTheta_O) v) sinTheta_i))))))
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (neg.f32 (/.f32 #s(approx (+ 1 (* sinTheta_O sinTheta_i)) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) sinTheta_i) sinTheta_O)) v)))))
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (neg.f32 (/.f32 #s(approx (+ 1 (* sinTheta_O sinTheta_i)) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_i) sinTheta_O) sinTheta_i)) v)))))
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(approx (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (exp.f32 #s(approx (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))))
(/.f32 #s(literal 1 binary32) #s(approx (/ 1 (* (exp (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v))) (/ 1/2 v))) (/.f32 (*.f32 #s(literal 2 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 1 binary32) #s(approx (/ 1 (* (exp (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v))) (/ 1/2 v))) (*.f32 #s(literal 2 binary32) (/.f32 v (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)))))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (/.f32 #s(literal 1/2 binary32) v))))
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (-.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v))))
(/.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 (log.f32 v) #s(approx (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000) #s(approx (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))))
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #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 (log.f32 v) #s(approx (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000) (-.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 (log.f32 v) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (/ 1 (* (exp (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v))) (/ 1/2 v))) (*.f32 (/.f32 (*.f32 #s(literal 2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))
(/.f32 #s(approx (exp (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v)) (+.f32 #s(literal 1 binary32) #s(approx (/ (+ (* (neg sinTheta_O) sinTheta_i) (* cosTheta_O cosTheta_i)) v) (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v))))))
(/.f32 #s(approx (exp (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v)) (+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (neg.f32 sinTheta_O) sinTheta_i (*.f32 cosTheta_O cosTheta_i)) v))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v))))))
(/.f32 #s(approx (exp (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v)) (+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (neg.f32 sinTheta_O) sinTheta_i (*.f32 cosTheta_O cosTheta_i)) v))) (*.f32 (exp.f32 (+.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)) (log.f32 #s(literal 2 binary32)))) v))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(/.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v))))))
(/.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v))))))
(/.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)) (*.f32 (exp.f32 (+.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)) (log.f32 #s(literal 2 binary32)))) v))
(/.f32 (exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
(*.f32 (/.f32 (*.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)) (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v))) (exp.f32 #s(literal 6931/10000 binary32)))
(/.f32 (exp.f32 #s(approx (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 v (+.f32 (log.f32 #s(literal 1/2 binary32)) (neg.f32 (log.f32 v))))) (*.f32 sinTheta_O sinTheta_i)) v))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (/ 1 (* (exp (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v))) (/ 1/2 v))) (*.f32 #s(literal 2 binary32) (/.f32 v (/.f32 (exp.f32 (/.f32 #s(literal 332956652491/1000000000000 binary32) (fma.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) #s(literal 48038761/100000000 binary32)))) (exp.f32 (/.f32 (pow.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 3 binary32)) (fma.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) #s(literal 48038761/100000000 binary32)))))))))
(/.f32 #s(literal 1 binary32) #s(approx (/ 1 (* (exp (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v))) (/ 1/2 v))) (/.f32 (*.f32 #s(literal 2 binary32) v) (/.f32 (exp.f32 (/.f32 #s(literal 332956652491/1000000000000 binary32) (fma.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) #s(literal 48038761/100000000 binary32)))) (exp.f32 (/.f32 (pow.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 3 binary32)) (fma.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) #s(literal 48038761/100000000 binary32))))))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (exp.f32 (/.f32 #s(literal 332956652491/1000000000000 binary32) (fma.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)) #s(literal 48038761/100000000 binary32)))) (exp.f32 (/.f32 (pow.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 3 binary32)) (fma.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)) #s(literal 48038761/100000000 binary32))))) (/.f32 #s(literal 1/2 binary32) v))))
(/.f32 (exp.f32 (/.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 2 binary32)) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))) (exp.f32 (/.f32 (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))))
(*.f32 (exp.f32 (/.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 3 binary32)) (fma.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 2 binary32))))) (exp.f32 (/.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32)) (fma.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 2 binary32))))))
(*.f32 (pow.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))) (/.f32 (pow.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)) #s(literal 2 binary32)) (fma.f32 (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))) (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (pow.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)) #s(literal 2 binary32))))) (exp.f32 (/.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32)) (fma.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 2 binary32))))))
Outputs
(/.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 (log.f32 v) #s(approx (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))))
Calls

9 calls:

11.0ms
cosTheta_O
11.0ms
(*.f32 cosTheta_i cosTheta_O)
11.0ms
(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)))))
11.0ms
v
9.0ms
cosTheta_i
Results
AccuracySegmentsBranch
99.8%1(*.f32 sinTheta_i sinTheta_O)
99.8%1(*.f32 cosTheta_i cosTheta_O)
99.8%1(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))
99.8%1(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
99.8%1cosTheta_i
99.8%1cosTheta_O
99.8%1sinTheta_i
99.8%1sinTheta_O
99.8%1v
Compiler

Compiled 60 to 78 computations (-30% saved)

regimes765.0ms (6.7%)

Memory
-200.1MiB live, 121.8MiB allocated; 1.2s collecting garbage
Counts
20 → 1
Calls
Call 1
Inputs
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) #s(approx (neg (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (/.f32 #s(literal -1 binary32) v)))))
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (neg.f32 (/.f32 #s(approx (+ 1 (* sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)))))
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))))
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)) v))
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v)))))
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (neg.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)))))
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (neg.f32 (/.f32 #s(approx (+ 1 (* sinTheta_O sinTheta_i)) (*.f32 #s(approx (+ (/ 1 sinTheta_O) sinTheta_i) (/.f32 #s(literal 1 binary32) sinTheta_O)) sinTheta_O)) v)))))
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (neg.f32 #s(approx (/ (+ 1 (* sinTheta_O sinTheta_i)) v) (*.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_i) sinTheta_O) v) sinTheta_i))))))
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (neg.f32 (/.f32 #s(approx (+ 1 (* sinTheta_O sinTheta_i)) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) sinTheta_i) sinTheta_O)) v)))))
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (neg.f32 (/.f32 #s(approx (+ 1 (* sinTheta_O sinTheta_i)) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_i) sinTheta_O) sinTheta_i)) v)))))
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(approx (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (exp.f32 #s(approx (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))))
(/.f32 #s(literal 1 binary32) #s(approx (/ 1 (* (exp (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v))) (/ 1/2 v))) (/.f32 (*.f32 #s(literal 2 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 1 binary32) #s(approx (/ 1 (* (exp (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v))) (/ 1/2 v))) (*.f32 #s(literal 2 binary32) (/.f32 v (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)))))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (/.f32 #s(literal 1/2 binary32) v))))
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (-.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v))))
(/.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 (log.f32 v) #s(approx (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000) #s(approx (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))))
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
Outputs
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (/.f32 #s(literal 1/2 binary32) v))))
Calls

9 calls:

691.0ms
cosTheta_O
23.0ms
(*.f32 cosTheta_i cosTheta_O)
20.0ms
sinTheta_O
5.0ms
cosTheta_i
5.0ms
sinTheta_i
Results
AccuracySegmentsBranch
99.8%1(*.f32 sinTheta_i sinTheta_O)
99.8%1(*.f32 cosTheta_i cosTheta_O)
99.8%1(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))
99.8%1(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
99.8%1cosTheta_i
99.8%1cosTheta_O
99.8%1sinTheta_i
99.8%1sinTheta_O
99.8%1v
Compiler

Compiled 60 to 78 computations (-30% saved)

regimes40.0ms (0.3%)

Memory
10.8MiB live, 59.3MiB allocated; 3ms collecting garbage
Counts
16 → 1
Calls
Call 1
Inputs
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) #s(approx (neg (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (/.f32 #s(literal -1 binary32) v)))))
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (neg.f32 (/.f32 #s(approx (+ 1 (* sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)))))
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))))
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)) v))
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v)))))
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (neg.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)))))
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (neg.f32 (/.f32 #s(approx (+ 1 (* sinTheta_O sinTheta_i)) (*.f32 #s(approx (+ (/ 1 sinTheta_O) sinTheta_i) (/.f32 #s(literal 1 binary32) sinTheta_O)) sinTheta_O)) v)))))
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (neg.f32 #s(approx (/ (+ 1 (* sinTheta_O sinTheta_i)) v) (*.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_i) sinTheta_O) v) sinTheta_i))))))
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (neg.f32 (/.f32 #s(approx (+ 1 (* sinTheta_O sinTheta_i)) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) sinTheta_i) sinTheta_O)) v)))))
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (neg.f32 (/.f32 #s(approx (+ 1 (* sinTheta_O sinTheta_i)) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_i) sinTheta_O) sinTheta_i)) v)))))
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(approx (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (exp.f32 #s(approx (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))))
(/.f32 #s(literal 1 binary32) #s(approx (/ 1 (* (exp (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v))) (/ 1/2 v))) (/.f32 (*.f32 #s(literal 2 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 1 binary32) #s(approx (/ 1 (* (exp (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v))) (/ 1/2 v))) (*.f32 #s(literal 2 binary32) (/.f32 v (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)))))))
Outputs
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))
Calls

9 calls:

6.0ms
(+.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
sinTheta_i
4.0ms
cosTheta_i
4.0ms
sinTheta_O
Results
AccuracySegmentsBranch
99.8%1(*.f32 sinTheta_i sinTheta_O)
99.8%1(*.f32 cosTheta_i cosTheta_O)
99.8%1(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))
99.8%1(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
99.8%1cosTheta_i
99.8%1cosTheta_O
99.8%1sinTheta_i
99.8%1sinTheta_O
99.8%1v
Compiler

Compiled 60 to 78 computations (-30% saved)

regimes30.0ms (0.3%)

Memory
0.1MiB live, 46.6MiB allocated; 1ms collecting garbage
Counts
11 → 1
Calls
Call 1
Inputs
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) #s(approx (neg (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (/.f32 #s(literal -1 binary32) v)))))
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (neg.f32 (/.f32 #s(approx (+ 1 (* sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)))))
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))))
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)) v))
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v)))))
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (neg.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)))))
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (neg.f32 (/.f32 #s(approx (+ 1 (* sinTheta_O sinTheta_i)) (*.f32 #s(approx (+ (/ 1 sinTheta_O) sinTheta_i) (/.f32 #s(literal 1 binary32) sinTheta_O)) sinTheta_O)) v)))))
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (neg.f32 #s(approx (/ (+ 1 (* sinTheta_O sinTheta_i)) v) (*.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_i) sinTheta_O) v) sinTheta_i))))))
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (neg.f32 (/.f32 #s(approx (+ 1 (* sinTheta_O sinTheta_i)) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) sinTheta_i) sinTheta_O)) v)))))
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (neg.f32 (/.f32 #s(approx (+ 1 (* sinTheta_O sinTheta_i)) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_i) sinTheta_O) sinTheta_i)) v)))))
Outputs
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (neg.f32 (/.f32 #s(approx (+ 1 (* sinTheta_O sinTheta_i)) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_i) sinTheta_O) sinTheta_i)) v)))))
Calls

9 calls:

4.0ms
(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)))))
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
sinTheta_O
3.0ms
cosTheta_i
Results
AccuracySegmentsBranch
98.1%1(*.f32 sinTheta_i sinTheta_O)
98.1%1(*.f32 cosTheta_i cosTheta_O)
98.1%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))))
98.1%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)))))
98.1%1cosTheta_i
98.1%1cosTheta_O
98.1%1sinTheta_i
98.1%1sinTheta_O
98.1%1v
Compiler

Compiled 60 to 78 computations (-30% saved)

regimes29.0ms (0.2%)

Memory
3.7MiB live, 49.2MiB allocated; 3ms collecting garbage
Counts
10 → 1
Calls
Call 1
Inputs
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) #s(approx (neg (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (/.f32 #s(literal -1 binary32) v)))))
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (neg.f32 (/.f32 #s(approx (+ 1 (* sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)))))
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))))
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)) v))
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v)))))
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (neg.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)))))
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (neg.f32 (/.f32 #s(approx (+ 1 (* sinTheta_O sinTheta_i)) (*.f32 #s(approx (+ (/ 1 sinTheta_O) sinTheta_i) (/.f32 #s(literal 1 binary32) sinTheta_O)) sinTheta_O)) v)))))
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (neg.f32 #s(approx (/ (+ 1 (* sinTheta_O sinTheta_i)) v) (*.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_i) sinTheta_O) v) sinTheta_i))))))
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (neg.f32 (/.f32 #s(approx (+ 1 (* sinTheta_O sinTheta_i)) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) sinTheta_i) sinTheta_O)) v)))))
Outputs
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (neg.f32 (/.f32 #s(approx (+ 1 (* sinTheta_O sinTheta_i)) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) sinTheta_i) sinTheta_O)) v)))))
Calls

9 calls:

5.0ms
(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)))))
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
sinTheta_O
3.0ms
cosTheta_i
Results
AccuracySegmentsBranch
98.1%1(*.f32 sinTheta_i sinTheta_O)
98.1%1(*.f32 cosTheta_i cosTheta_O)
98.1%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))))
98.1%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)))))
98.1%1cosTheta_i
98.1%1cosTheta_O
98.1%1sinTheta_i
98.1%1sinTheta_O
98.1%1v
Compiler

Compiled 60 to 78 computations (-30% saved)

regimes52.0ms (0.5%)

Memory
1.9MiB live, 47.6MiB allocated; 38ms collecting garbage
Counts
9 → 1
Calls
Call 1
Inputs
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) #s(approx (neg (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (/.f32 #s(literal -1 binary32) v)))))
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (neg.f32 (/.f32 #s(approx (+ 1 (* sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)))))
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))))
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)) v))
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v)))))
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (neg.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)))))
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (neg.f32 (/.f32 #s(approx (+ 1 (* sinTheta_O sinTheta_i)) (*.f32 #s(approx (+ (/ 1 sinTheta_O) sinTheta_i) (/.f32 #s(literal 1 binary32) sinTheta_O)) sinTheta_O)) v)))))
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (neg.f32 #s(approx (/ (+ 1 (* sinTheta_O sinTheta_i)) v) (*.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_i) sinTheta_O) v) sinTheta_i))))))
Outputs
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (neg.f32 #s(approx (/ (+ 1 (* sinTheta_O sinTheta_i)) v) (*.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_i) sinTheta_O) v) sinTheta_i))))))
Calls

9 calls:

30.0ms
(*.f32 cosTheta_i cosTheta_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
sinTheta_O
3.0ms
cosTheta_i
Results
AccuracySegmentsBranch
98.1%1sinTheta_O
98.1%1(*.f32 sinTheta_i sinTheta_O)
98.1%1(*.f32 cosTheta_i cosTheta_O)
98.1%1cosTheta_i
98.1%1cosTheta_O
98.1%1sinTheta_i
98.1%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))))
98.1%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)))))
98.1%1v
Compiler

Compiled 60 to 78 computations (-30% saved)

regimes25.0ms (0.2%)

Memory
-0.8MiB live, 48.6MiB allocated; 4ms collecting garbage
Counts
8 → 1
Calls
Call 1
Inputs
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) #s(approx (neg (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (/.f32 #s(literal -1 binary32) v)))))
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (neg.f32 (/.f32 #s(approx (+ 1 (* sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)))))
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))))
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)) v))
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v)))))
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (neg.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)))))
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (neg.f32 (/.f32 #s(approx (+ 1 (* sinTheta_O sinTheta_i)) (*.f32 #s(approx (+ (/ 1 sinTheta_O) sinTheta_i) (/.f32 #s(literal 1 binary32) sinTheta_O)) sinTheta_O)) v)))))
Outputs
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v)))))
Calls

9 calls:

5.0ms
cosTheta_i
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_O
3.0ms
sinTheta_i
2.0ms
cosTheta_O
Results
AccuracySegmentsBranch
98.1%1(*.f32 sinTheta_i sinTheta_O)
98.1%1(*.f32 cosTheta_i cosTheta_O)
98.1%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))))
98.1%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)))))
98.1%1cosTheta_i
98.1%1cosTheta_O
98.1%1sinTheta_i
98.1%1sinTheta_O
98.1%1v
Compiler

Compiled 60 to 78 computations (-30% saved)

regimes19.0ms (0.2%)

Memory
-7.4MiB live, 38.6MiB allocated; 3ms collecting garbage
Accuracy

Total -29.9b remaining (-5051.5%)

Threshold costs -29.9b (-5051.5%)

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

9 calls:

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))))
2.0ms
v
2.0ms
sinTheta_O
2.0ms
sinTheta_i
2.0ms
cosTheta_i
Results
AccuracySegmentsBranch
98.1%1(*.f32 sinTheta_i sinTheta_O)
98.1%1(*.f32 cosTheta_i cosTheta_O)
98.1%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))))
98.1%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)))))
98.1%1cosTheta_i
98.1%1cosTheta_O
98.1%1sinTheta_i
98.1%1sinTheta_O
98.1%1v
Compiler

Compiled 60 to 78 computations (-30% saved)

simplify71.0ms (0.6%)

Memory
18.2MiB live, 63.9MiB allocated; 2ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
092332
1174332
2299332
3621330
41914330
Stop Event
node limit
Calls
Call 1
Inputs
(/.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 (log.f32 v) #s(approx (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (/.f32 #s(literal 1/2 binary32) v))))
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (neg.f32 (/.f32 #s(approx (+ 1 (* sinTheta_O sinTheta_i)) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_i) sinTheta_O) sinTheta_i)) v)))))
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (neg.f32 (/.f32 #s(approx (+ 1 (* sinTheta_O sinTheta_i)) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) sinTheta_i) sinTheta_O)) v)))))
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (neg.f32 #s(approx (/ (+ 1 (* sinTheta_O sinTheta_i)) v) (*.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_i) sinTheta_O) v) sinTheta_i))))))
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v)))))
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) #s(approx (neg (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (/.f32 #s(literal -1 binary32) v)))))
Outputs
(/.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 (log.f32 v) #s(approx (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (/.f32 #s(literal 1/2 binary32) v))))
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (neg.f32 (/.f32 #s(approx (+ 1 (* sinTheta_O sinTheta_i)) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_i) sinTheta_O) sinTheta_i)) v)))))
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (/.f32 #s(approx (+ 1 (* sinTheta_O sinTheta_i)) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_i) sinTheta_O) sinTheta_i)) (neg.f32 v)))))
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (neg.f32 (/.f32 #s(approx (+ 1 (* sinTheta_O sinTheta_i)) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) sinTheta_i) sinTheta_O)) v)))))
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (/.f32 #s(approx (+ 1 (* sinTheta_O sinTheta_i)) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) sinTheta_i) sinTheta_O)) (neg.f32 v)))))
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (neg.f32 #s(approx (/ (+ 1 (* sinTheta_O sinTheta_i)) v) (*.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_i) sinTheta_O) v) sinTheta_i))))))
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v)))))
(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) #s(approx (neg (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (/.f32 #s(literal -1 binary32) v)))))

derivations1.1s (9.5%)

Memory
37.7MiB live, 734.6MiB allocated; 119ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0169911145
1625210749
0828210168
0176111659
1647011237
0824310627
0373495527
0804593669
061573
098463
1441460
23558460
08154460
02192
03478
113771
2121371
0889668
073418
0106377
1512371
23765370
08108370
03521988
111901900
250481754
082491667
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 362 to 93 computations (74.3% saved)

preprocess107.0ms (0.9%)

Memory
-32.9MiB live, 108.0MiB allocated; 21ms collecting garbage
Remove

(sort sinTheta_i sinTheta_O)

(sort cosTheta_i cosTheta_O)

Compiler

Compiled 1 110 to 516 computations (53.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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